diff --git "a/data/dm_maths/full_data/10925_11255.jsonl" "b/data/dm_maths/full_data/10925_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10925_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: b\"What is the rth term of 239500, 479002, 718504?\n\"Answer: 239502*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/8*42)\/((-12573)\/(-264) + -48)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 38*r - 110. Calculate d(-30).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1316 and 4747?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 530720 divided by -155\nAnswer: -3424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**7\/630 - f**6\/36 - 2*f**5\/15 + f**4 + 9*f. Let b(v) be the third derivative of l(v). Factor b(s).\nAnswer: -4*(s + 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 86, 185, 298, 431, 590?\n\"Answer: k**3 + k**2 + 89*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*i - 12869 = -10853 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 56 + -4 - (-25 - -53)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + 1000000001?\nAnswer: 1000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/3*(135\/120)\/(3\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 10 = -r, -2*r - 4*t - 8 = 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 103*x - 8. Let b = -8 - -13. Is g(b) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.4 + 15646?\nAnswer: 15561.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + f - 1164. Suppose v + 0*v - 5*s - 97 = 0, -4*v + f = 3*s. Suppose u = 4*w + v, -u - 2*w + 28 + 57 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 959929, 3839714, 8639355, 15358852?\n\"Answer: 959928*u**2 + u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - u**2. Let j be k(1). Suppose j = 2*z + z - 9. Is z > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2 - 6. Let r be 3\/2 + 3\/x. Find the second derivative of r*f + 3*f**2 + 2*f - 3*f wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 514*q**2 - 1171*q**2 + 135*q**2 + 524*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114.77 + -114.769991863. Round p to 7 decimal places.\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 - ((-2574)\/20)\/(-11) and 13\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 18640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/2)\/(2*(-2)\/24). Suppose 27 = -2*r + z*r. What is the remainder when r is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) + (sqrt(130) + sqrt(130)*-2)*2 + sqrt(130) - sqrt(130))*-2*-6)\/(-1*-2*sqrt(40)*-1))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 7) in base 13?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 463\/8 - 7223\/120. Find the common denominator of u and 7\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8268.\nAnswer: 2, 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19425.\nAnswer: 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 123 = 5. Let y = -76 + 110. Suppose 3*r - y = -10. What is the highest common divisor of u and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3082 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 47*d**2 - 5*d + 1. Let x(z) = 12*z**2 - z. What is 2*m(n) - 9*x(n)?\nAnswer: -14*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 27*l**2 + 47*l + 82. Suppose -59 = -19*a + 416. Let p be q(a). Let z = -26 - -54. What is the greatest common divisor of p and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -5*w**2 - 52973335*w - 264866550 = 0?\nAnswer: -10594662, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/81, 66, -20\/9 in descending order.\nAnswer: 66, -2\/81, -20\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = a + 5*h, -3 = -a + 2*h + h. Suppose a = -10*u + 6*u - 72800000. What is u rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/26)*j\/(j\/j**(3\/11)))\/((j**1\/j)\/j)**1 assuming j is positive.\nAnswer: j**(353\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6915 + 6932. What is the nearest to 0 in k, 16, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-3 + 3 - 2) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4000 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -7*m - 20, 4*r + r - 6*r + 20*m = -42 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 1\/1260*y**7 + 0*y**3 - 19*y**2 + 0*y - 1\/360*y**5 + 1\/240*y**6 + 0 - 1\/48*y**4. Determine h, given that l(h) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (119 - (13 - -39))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 2*w**2 + 2*w + 3. Let q be g(-2). Let l be (24\/(-4))\/(0 + q). Suppose 0 = -3*m + l*m - 42. Calculate the least common multiple of m and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18250 rounded to the nearest 100?\nAnswer: 18300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00055551 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 10*s**2 - 11*s + 10. Let d be c(11). Let f be ((-12)\/d)\/(1\/(-5)). Suppose f*p = 3*p + 105. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 131 - 130.9. Let a = 113\/3 - 37. What is the smallest value in 5, a, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*u - 0 + 19, -2*q + 4*u = -22. Let p(l) = 25*l - 2*l**2 - 3 - q*l**2 + 4*l**2 - 1. Let n be p(8). Solve 2*w = w - n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.25 times 3277\nAnswer: 819.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7322060 is divided by 1464402?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-6\/11)))\/(((b*b*b*(b\/((b\/((b*b**1)\/b))\/b))\/b*b)\/b)\/b)*b\/b**(2\/17)*b**13)**(-34\/7) assuming b is positive.\nAnswer: b**(-3866\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 302\/(7 - 5) - -3. Round t to zero decimal places.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-715)\/(-39) + -18 - ((-2)\/9)\/(43\/(-7224)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5592681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -2*q**5\/15 - q**3\/3 - 3*q**2 - 5*q. Let i(x) be the first derivative of t(x). Find the first derivative of i(o) wrt o.\nAnswer: -16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/1170*-36)\/((-3)\/(15\/22))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1216 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -146 - -29. Let r = s - -117.09. Which is the second biggest value? (a) r (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14656 - 74278\/5. Let u = f - -199. Let q = -0.12 - 0.08. What is the nearest to q in 1\/12, u, 1?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from wwwwwywwwywwwyyy?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -4 (c) 12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 88515023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-2)\/2 - -4. Suppose f*l - 744 + 76 = 0. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000018583555 to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -28, 2\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 5*c**2 + 7*c + 7. Let k be x(-4). Let r = 7 - k. Suppose 4*u - 2*b = 356, -5*b - 457 = -5*u - r. What are the prime factors of u?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.65 - -0.65. What is the third biggest value in d, 2, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f - 21. Let c be b(-6). Let x(a) = a**3 + 9*a**2 + 6*a - 14. Let h be x(-8). Differentiate 3*r**4 - 4*r**4 - h - c wrt r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a millisecond in microseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 298859*w**3 - 642023*w.\nAnswer: 1793154*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -k. Let w(u) = -u**2 - u + 12. Is w(k) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 66, 132, 202, 276, 354, 436, 522?\n\"Answer: 2*p**2 + 60*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*t**2 - 276 + 48 + 20 + 40 + 168.\nAnswer: 274*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.08 + 3.1. What is the closest to l in 2\/3, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h + 2*h - 2*h + (1 - 1 - 2*h)*(1 + 0 - 8) - 36*h + 146 - 146 as n*h + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 24*i + 389. Let b be r(-16). Solve 3*f - h - 15 = 0, -f = -b*f + 3*h + 25 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20567\/4 or 5141?\nAnswer: 20567\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 5*q - 15. Let v = 3 - 1. Let g be 2\/v - 10\/q. Which is the nearest to 1? (a) g (b) -0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 + -18970b0?\nAnswer: -1897102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -12. Let w be (r - 22) + 9\/(-3). Let t = -13 - w. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -19. Let c = 75 - g. Calculate the greatest common divisor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-10))\/(1\/6). Let m be 1 + v\/(-9)*4. Which is the nearest to -1? (a) m (b) 4 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 58428, 58438, 58460, 58500, 58564?\n\"Answer: z**3 + 3*z + 58424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 21. Is ((-291)\/h)\/(1\/14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/180676 and -111\/2444.\nAnswer: 110393036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**2 + 832086*o - 35777849 = 0.\nAnswer: 43, 832043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2804 is divided by 95?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**3 - 321*z**2 + 8745*z - 8427 = 0 for z.\nAnswer: 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1626 and 6432.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -318 + 318 + 16*w + 2 - w - 2 + (-5*w + w + 3*w)*(-1 + 1 + 1) - 5*w + 0*w + 2*w.\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -13, -0.7, 3, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 1. Let n(l) = -3*l + 2. Let p(y) = 2*b(y) - n(y). Let z(m) be the third derivative of 0 + 0*m - 1\/12*m**4 + m**2 + 0*m**3. What is p(z(k))?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 1. Let l(j) = -j**3 + j**2 + 18*j + 6. Let n(d) = -5*l(d) + 30*m(d). Determine o so that n(o) = 0.\nAnswer: -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 2*x + 3*v, 2*v = 3*x - 5*x + 118. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00028667 to six dps.\nAnswer: 0.000287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 112 * 5.388.\nAnswer: 603.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7 + 9*k + 1 + 0 + k**2 + 11. Suppose 65 = -8*n + 3*n - 5*y, -3*y = 2*n + 30. Let u be r(n). Solve j - 2*l = -7*l + 18, 24 = u*j + 3*l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 888854 and 106.\nAnswer: 94218524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67876355 by 956005.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -538*c - 11. Let h(q) = 269*q + 6. Let s(m) = -11*h(m) - 6*j(m). Let t be s(-3). Is ((-20)\/4)\/5*t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 = -g + 2*k, -4*k = 3*g - 9. Suppose -g*r = -0*r - 9. Solve 0 = -r*y + 7 + 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 7*h**2 - 5*h - 2. Suppose 4*j = 7 + 5. Let k be (-25)\/(-4) - j\/12. Let n be r(k). Solve -u + m = n*u, m = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 1.587101\nAnswer: -4.761303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 0.8 (c) -7\/2 (d) 2\/39 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 738991?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 5*h**2 - 1999120*h + 7996400 = 0.\nAnswer: 4, 399820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 57\/2, 1\/2, 9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -12\/5*i**6 + 0*i**4 + 1\/10*i**5 + 4*i + 0 + 0*i**3 - 55\/2*i**2. What is the first derivative of u(c) wrt c?\nAnswer: -288*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.12 - 0.16. Let f = 6.03 - 6. Let m = f - q. Is -1\/4 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 4*t + 6. Let r be k(5). Let o = r + -1. Let n be 1\/3*o + -6600000. What is n rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011731 (base 11) to base 15\nAnswer: -254d79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from jjjjjyjjjjjjjjj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -24. Let m = x + 17.11. Let q = 0.21 - m. Which is smaller: 9 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1233*x + 1290*x = -91 + 376 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -16. Suppose 5*g + y + 10 = 0. Let m be (-2)\/(g - (-1 + 0)). Which is smaller: 2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 12*f. Let j(q) be the third derivative of -q**7\/1680 - q**5\/5 - 4*q**2. Let h(u) be the third derivative of j(u). Determine -9*h(m) - 2*i(m).\nAnswer: -2*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-6)\/9*63\/6).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*j - 81 = -x, 3*x - 81 = -4*j. Suppose -4*c + 2*c = 6, 3*i - 5*c = 24. What is the highest common factor of i and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvvnvznn. Give prob of sequence nnnv.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -m - 0*m + 115479, i - 19244 = -m. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) 2\/3 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27075 (base 8) in base 3?\nAnswer: -121020102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -842, -1322, -1814, -2324, -2858?\nAnswer: -3422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, 2, 26, 7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68*x**3 - x**2 + 651*x.\nAnswer: -408*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 83, 104, 115, 110, 83, 28?\n\"Answer: -u**3 + u**2 + 25*u + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 4*x**2 - 22 - 20 - 1.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-5) + (-2 - -3). Let r(b) = -2*b. Let g be r(-7). Suppose 10 = -0*s + 2*s + 4*y, -2*s + g = 5*y. Put -0.3, p, s in decreasing order.\nAnswer: p, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5206 + 5689. What is the remainder when v is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/23, -3, -1, -2\/9, 0.2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -120*21\/(-1302)*-31?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -64917, -129836, -194757, -259680, -324605, -389532, -454461?\n\"Answer: -a**2 - 64916*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**2 + d + 4. Let y be x(6). Let a = -44 - y. Suppose -q - a = -2*q. Calculate the highest common factor of 18 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(440) - (sqrt(440) - sqrt(440)*-2)))\/(1*2*sqrt(8)))\/(sqrt(320)*2*-4 - (sqrt(320) + sqrt(320) + (-1*sqrt(320) + sqrt(320))*-4)).\nAnswer: -3*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40? (a) 1 (b) 0.21 (c) -0.5 (d) -3 (e) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*19\/(8645\/(-26))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + (1 - -4) + 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/20 + 165\/(-1100).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*c. Let z be (c - (0 - 3)) + -3. Suppose -2*l + 4*i = 3*l - 21, -1 = -i. Put -2, z, l in ascending order.\nAnswer: -2, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w + 8 = -2*u, 0 = -4*u - 4. Solve -w*f = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38932200 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -74619, -149236, -223853, -298470, -373087?\n\"Answer: -74617*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1022 (base 4) to base 6\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 11:08 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -412*l**2 - 13*l + 1. Let p(s) = -1193*s**2 - 38*s + 3. Determine -3*p(d) + 8*z(d).\nAnswer: 283*d**2 + 10*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**3 - 25*a**2 + 85*a + 41. What are the prime factors of g(-13)?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4573 and 1955?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1430 + -816. Find the first derivative of 352*r**2 + 318*r**2 - n*r**2 + 64 wrt r.\nAnswer: 112*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1752 divided by -6?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.066164 minus -18990?\nAnswer: 18989.933836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 8244*q**2 + 169*q - 328. What are the prime factors of c(2)?\nAnswer: 2, 16493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47126.9258 + -47123. Round q to 1 dp.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 80?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 15 = -3. Is 1\/(o + 2) + 27 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-1) - (-2)\/2. Let f = 2 - -1. Suppose 2*m - 98 = -c*i, f*m + 12 + 3 = 0. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 16*z**2 + 32*z - 41. Let l(x) = -3*x**2 - 7*x + 9. Let c(i) = 2*h(i) + 11*l(i). What is c(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119095256 to the nearest integer?\nAnswer: 10913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55652, 55940, 56420, 57092?\nAnswer: 57956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -40*i**3 - 15*i**2 + 7*i + 5. Is y(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5044 and 1456.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 9*y - 12. Suppose -2*i - 4*c + 4 = 0, 2*c = i - 4*i + 2. Suppose -2*q - q - 24 = i. Calculate s(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3, -2, 5, 1499?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1 (b) 4\/11 (c) 2.5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3572, -7160, -10748, -14336?\nAnswer: -17924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 3 = 52 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9252 - 14732?\nAnswer: -23984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-5) - 23\/(-5))*1. Solve -3*q + 5*j = -3, -f*j - 16 - 12 = 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9 - -2. Let b = -77 - -77.101. Let k = n - b. Round k to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3 - 9 = 0. Suppose 31 = k + 4*n + j, 0 = k + 2*n - 19. Calculate the greatest common factor of 27 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfhk when four letters picked without replacement from {o: 1, t: 5, f: 1, h: 5, n: 1, k: 1}.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*z - 20. Suppose z*g - x = 6, -5*g + 2 = -x - 3*x. Suppose -6*t - 4*v + 31 = -3*t, 0 = 3*t - g*v - 7. Solve 2*s + 5 + t = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-50) + ((-330)\/275 - (-3)\/15)\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 + -2481433.3384?\nAnswer: -2481433.4184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 + 7*x + 2.\nAnswer: (x + 2)*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3))**5*(d*(d*(d\/((d\/(d*d*d**4\/d)*d)\/d))\/d*d*d)\/d*d)\/d*d**2*d)**(-24) assuming d is positive.\nAnswer: d**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 15*g**2 + 3*g - 4. Let t be o(3). Let m be t\/(-44) - (-6)\/2. Is -3 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**2 - 8*l + 9. Let y(h) = -7*h**2 - 16*h + 17. Let d(z) = 9*p(z) - 4*y(z). Let j be 40\/14*(-35)\/(-10). Does 11 divide d(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 9:01 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 + 124*r**2 - 14*r + 4. Let f(t) = t**3 - 62*t**2 + 6*t - 2. What is -2*a(x) - 5*f(x)?\nAnswer: -x**3 + 62*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 5*v = -22, 3*v - 1 = -3*p + 14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -52, 1142, -2\/3, -8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -638*s - 810 = -584*s for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9153, 9226, 9341, 9498, 9697?\nAnswer: 9938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -s - 14, -3*c + 0*s - 3*s = 6. Suppose 0 = 3*q + 3, -5*i - 5*q + c*q = -28. Suppose 11*z - 10 = i*z. Solve -4*f - 6 = -z*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 14, w: 2, y: 1}. Give prob of picking 1 y, 2 w, and 1 d.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.101818 to two decimal places.\nAnswer: -9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/586859 and -1\/728?\nAnswer: 4694872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32385 and 2569635?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*c + 3. Let l be -1*(-1 - -1)\/c. Suppose l = u - 2*u + 31. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10774436.\nAnswer: 2, 2693609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5, 0.7 in decreasing order.\nAnswer: 0.7, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 0.2, 0, -3, -197, 2, 2\/7.\nAnswer: -197, -3, -1\/5, 0, 0.2, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 18*a = -z - 47, 0 = -3*z - 15. What is the remainder when 381 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*w - 41 = 34, -5*z = -3*w + 60. Is (-17610)\/z - (6 + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1320\/11 - (-1 - 1 - -2 - 0) and 90.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/13)\/w**(-7\/6))\/((w\/w**(2\/15))\/w*((w\/w**(2\/11))\/w)\/w))**(-2\/21) assuming w is positive.\nAnswer: w**(-1293\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*s**4 - 4*s**2 - 44*s wrt s?\nAnswer: 336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ew when two letters picked without replacement from wswsdnetn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -105*w. Let s(g) be the third derivative of -g**5\/30 + g**4\/3 - 257*g**2. Let i(r) = -3*r**2 + 10*r. Let l(a) = -4*i(a) + 5*s(a). What is h(l(d))?\nAnswer: -210*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15621 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 b, and 1 w when four letters picked without replacement from bbtctbtetecw?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -485, -3, 6 in ascending order.\nAnswer: -485, -3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.042+144297\nAnswer: 144296.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 0 + 5*y**2 + 9*y + 1\/2*y**3. Let m(a) = -2*a**2. Determine m(l(z)).\nAnswer: -18*z**2 - 120*z - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1172*l - 6. Let m(y) = 3*y. Determine g(m(d)).\nAnswer: 3516*d - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**5\/60 - b**4\/24 + 15*b**2 - 2. Let i(g) = -25*g**3 + 5*g**2 - 5*g. What is i(y) - 5*w(y)?\nAnswer: -25*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k + 507 - 507)*(4 - 4 + 4) + k + k - 5*k.\nAnswer: 25*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -398 + 399 + ((-3)\/(3\/299) - 1). Which is smaller: l or -298?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2 - 3. Suppose 540 = 3*u - g*u + 4*p, -3*u + 5*p = 809. Let q be u*2\/(-2 - 2). Round q to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1269\/7 or 181?\nAnswer: 1269\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 89445*o + 18 + 17 - 28934*o - 35 + (-o - o + 0*o)*(-1 + 3 - 4).\nAnswer: 60515*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p**2 - 4*p + 2. Let c be q(2). Suppose 4*j + 338 = 5*b - c, -2*j - 2 = 0. Is b a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 219*(-18)\/(-243) - 2\/9. Suppose -m*s - 16849 = -23*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j + 2. What is the third derivative of -5*z**6 + z**j + 11*z**6 + 5*z**2 wrt z?\nAnswer: 720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9838 - -15238. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from livvvcl. What is prob of sequence vvic?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 852718289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-16\/7)\/n)\/n)\/n)\/(n\/(n*n**(16\/5)*n))*n**(-5\/4)\/(n\/n**(-33)))**32 assuming n is positive.\nAnswer: n**(-40696\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*q**2 + 12*q**2 + 14*q**2)*(0 - 3 + 2)*(3*q - q + 0*q)*(-2 + 4 - 1) in the form k*q + c*q**2 + m + d*q**3 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37255 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272*w**3 - 2288*w**2\/3 - 476*w\/3 - 4 = 0. What is w?\nAnswer: -1\/6, -1\/34, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -14. Let d = r - 8. Let w(v) = 4*v - 1. What is the remainder when w(2) is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 + 33 = 4*f. Let b = 60 - f. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.06.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a**2 - 146. Let i(d) = 235*d + 1. Determine i(k(u)).\nAnswer: -470*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -7 - (-8 - (3 + -2)) - 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.005 - -0.095. What is the second smallest value in -3, v, -0.3, 1\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s**2 - 305*s - 2936. Give i(-49).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2473550 and 441995.\nAnswer: 4055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*y - 129 + 318 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 2\/5, -288184?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27807 is divided by 901?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 10 - 10)*(-3 + 5 + 2).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1980170?\nAnswer: 2, 5, 198017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-33)\/9)*7476\/16. Let k = 1748 - l. Suppose -r = 3, 0 = 3*x - 4*r + k - 3451. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4080 = 3*h - 4*c, -h + 0*c - 3*c + 1373 = 0. Suppose -7*u + 2*u = -p - h, u - p - 276 = 0. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpjtjjddpddjpjjp. What is prob of picking 2 j?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 0*u - 3*u)*(-2*u - 2*u + 2*u) - 8*u**2 - u**2 + 3*u**2 + (-u + 0 + 0)*(3*u - 4*u - u) + 0*u**2 + 0*u**2 - u**2.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h = -16. What is the first derivative of -5 - k**h + k**3 - k**3 + 6 wrt k?\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4 + 2*f - f + 0. What is the units digit of o(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -635, -1255, -1875?\n\"Answer: -620*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 4. Let s = 52 - 37. Suppose 0 = a + 4*g + s, -5*a = g - 4*g + 6. Let h(t) = -3*t + 12. Let v(q) = a*h(q) + 8*k(q). What is v(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -3\/8*b**4 + 1\/60*b**5 + 0 - 13\/6*b**3 + 66*b**2 + 0*b. Determine j(12).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**6\/120 + n**5\/12 - n**4\/12 - n**3\/3 + 4*n**2. What is the tens digit of a(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/10 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 5*m - 5, 4*m = 5*t + 21 - 7. Put 3, -1\/3, -3, t in decreasing order.\nAnswer: 3, -1\/3, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92499 and 561.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 2. Let k = 726 - 724. What is the closest to k in r, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106*d + 29*d - 138*d + 24)*(-d + 5*d - 2*d).\nAnswer: -6*d**2 + 48*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssu when four letters picked without replacement from {u: 1, z: 3, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3460 - 1695. Let m = l - -483. Suppose -3*k = 4*u + 10808, k + 5*u = -m - 1362. Round k to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q**2 - 364*q + 635. Give o(-54).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132799, -264689, -395671, -525745, -654911, -783169, -910519?\nAnswer: -1036961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 11*r + 113. Let o be v(-9). Suppose s + o = 17. Solve 4*f = 5*m, -s*m = 4*f + m for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - q + 6*q + 0*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 312656608 to the power of 1\/3, to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4251 and 1090.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 31 (b) -0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 2*l**3\/3 + 89*l**2\/2 - 102*l + 57. What is the derivative of o(n) wrt n?\nAnswer: 4*n + 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114101 by -8777.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3885075+0.1\nAnswer: -3885074.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2127 is divided by 1062?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -91, -500, -1227, -2278, -3659, -5376?\n\"Answer: -c**3 - 153*c**2 + 57*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**4\/30 - 28*k**3\/15 + 196*k**2\/5 - k + 7. Let a(x) = 0. What is x?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 3:38 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r. Let k(j) = -174*j + 10121 - 5053 - 5064. Determine k(n(g)).\nAnswer: 348*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121 - -4. Let c = 136 - h. What is the remainder when c is divided by 1 - (1*-15)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*a**3 + 135*a**3 - 155*a**3 + 138*a**3.\nAnswer: 299*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/296990 and 9\/136.\nAnswer: 1187960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = -5*t - l, 0*l = -l - 1. What is the smallest common multiple of 20 and t?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2379685 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/(-616)*(-42)\/(-4)*26\/12.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1611637 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from qedeeeq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 19478 and 17788 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - -2331177479?\nAnswer: 2331177490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 9) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m**3 + 1055*m**2 + 306*m - 587. Calculate k(151).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3030 is divided by 3020?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 81 = -501. Is t a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -17*y**2. Let j(q) = -17*q**2. Suppose 31*h = -5*t + 22*h - 15, 5*t - 25 = -h. Determine t*j(n) - 4*r(n).\nAnswer: -34*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 greater than or equal to 89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2089877058?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21338, 21379, 21428, 21485, 21550?\nAnswer: 21623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 1:30 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1018, -0.3, -5957, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*(sqrt(19) + (sqrt(475) + sqrt(19) + -5 - sqrt(19))))**2 + (sqrt(475)*-2*4 + 3)**2 + -5.\nAnswer: -3480*sqrt(19) + 68690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(112) - (sqrt(112) + sqrt(112) + sqrt(112) + -1 + sqrt(112))))**2 - (sqrt(112) + -2 + sqrt(112)*-1).\nAnswer: -384*sqrt(7) + 16146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)\/((a\/(a\/(a*a\/(a*a**7))))\/a))\/(a**(-1)\/a*a*a)**1 assuming a is positive.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2574 and 54?\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 5*n + 14, b + 10 = 6*b + 5*n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3887391*y**3 - 133 + 133.\nAnswer: -3887391*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*v - 4*y + 6, -2*y + 2 = 0. Let j be ((-6)\/(-14))\/((-8)\/14). Which is the smallest value? (a) -3 (b) v (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 8*o + 1. Let y = 25 + -37. Let r be y\/2*(1 + 0). Let z(x) = -x**2 - 7*x + 1. Calculate r*z(l) + 5*g(l).\nAnswer: l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -4*(1 + sqrt(80)*-1) + 2)*1)**2.\nAnswer: 32*sqrt(5) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.89456 + -4.88. Round w to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2288*j + 91476. Give u(40).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 12:05 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -76 (base 10) to base 11\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74762323 is divided by 8488.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 11, r: 2, q: 2, k: 1}. Give prob of picking 1 s, 2 r, and 1 q.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 d when three letters picked without replacement from yyryomjdoyoyyrdmjm?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4919 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -11010100000?\nAnswer: 11010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**6\/c)\/c**(-2\/9))\/(((c**8\/c)\/c)\/c*c\/c**(1\/8)))\/((c*c**7*c)\/c**(-3\/5)*(c\/c**(-2\/5))**(-15\/11)) assuming c is positive.\nAnswer: c**(-33041\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w**2 + 4*w**2 - w**2)*(4*w - 3*w - 3*w)*(102 + 47 + 4 + (-1 + 2 + 2)*(1 + 1 + 0)) to the form b*w**3 + d + s*w**2 + h*w and give b.\nAnswer: -954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 27*l**2 + l + 3. Let c(d) = 27*d**2 + 2. Let m(j) = 4*a(j) - 5*c(j). Let y be m(4). Let g = y - -613. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 1563073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003877816 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2121314 and 21580?\nAnswer: 21213140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 23.7. Let w = 4 + -5. What is the nearest to w in -2\/7, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**3\/6 + 2*m**2 + m. Let p be i(-4). Let g(u) = -u + 0*u - 3 + u**3 + 2*u. Calculate g(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n**3 - 27*n**2 + 18*n + 2. Give i(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 207.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, n: 6, y: 4, z: 1, o: 1, q: 2}. Give prob of sequence yyoy.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2 - (-74 - -62)) + (-1 - -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from wnnww?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubj when three letters picked without replacement from bzlzjzlblzuj.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 1796\/46709 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -407185 * -142\nAnswer: 57820270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(22) - 2*sqrt(1078))\/sqrt(11) + -1.\nAnswer: -1 + 52*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2. Let i(c) = -c. Let h(f) = -16 + f + 16. Let v(z) = -h(z) - 2*i(z). Determine p(v(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -0.1. Let u = 58 + -95. Let v = u + 30. What is the biggest value in v, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 832626 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10908, -10424, -9940?\n\"Answer: 484*z - 11392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l. Suppose 4*v - 22 = -22. Let a(k) be the third derivative of -2*k**2 + 0 + 1\/30*k**5 + 0*k**4 + v*k**3 + 0*k. Calculate a(j(t)).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.0049.\nAnswer: 0.00147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (3 + 2 + 3 + -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -1\/5 (c) -5 (d) -1\/2 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 526?\nAnswer: -315.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 - u + 7 - 10)*(13*u**3 + 9*u**3 + 19*u**3) to f*u**3 + p + o*u + i*u**4 + r*u**2 and give i.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**2 - 2042930*z + 208678149245 = 0 for z.\nAnswer: 204293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-11700)\/6825*(-5)\/((-44)\/42*3)\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxxzzxz. What is prob of picking 1 z and 2 x?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {a: 2, t: 5, m: 2, x: 8, s: 1}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 16\/5 (b) -5 (c) 4 (d) 2\/11 (e) 173670 (f) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrvvrvrrvrvvr. What is prob of sequence vrv?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152768873.\nAnswer: 19, 8040467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*t - 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w - 5498 + 224 + 13*w + 10*w.\nAnswer: 3*w - 5274","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11146445, 11146441, 11146435, 11146427?\n\"Answer: -z**2 - z + 11146447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -1a?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2. Let n(z) = 6*z**3 - 6*z**2 + 5. Let g(a) = n(a) - 5*t(a). Let v(u) = -5*u**3 + u**2 - 4. Let x(j) = -4*g(j) - 5*v(j). Factor x(w).\nAnswer: w**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110646 (base 7) in base 5?\nAnswer: -1111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 0*k - 12*k**2 + 4\/15*k**5 + 0 + 11\/24*k**4 + 0*k**3. What is the second derivative of c(t) wrt t?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1145 and 687?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 732 - 654.9. Let w = 5.1 - v. Let i = w + 71.27. What is i rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2205307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5974.\nAnswer: 2, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*m**3\/5 - 1132*m**2\/5 - 1037*m\/5 - 18\/5 = 0.\nAnswer: -9, -1, -2\/113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 155 + -152. Suppose 4*n - 1679 = 5*j, -n + g*n - j - 835 = 0. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 100\/36319?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 712754 divided by -1039.\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7097 - -7122. Solve -5 = 5*h + p for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25.16 + -4.44. Which is greater: -2\/7 or s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68625522 is divided by 49.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -14*t - 459. Let f be j(-33). Put 4, f, -8, -1, 0 in decreasing order.\nAnswer: 4, f, 0, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**6\/6 - i**5\/6 - 5*i**4\/12 + 5*i**3\/9 - 3*i. Find t such that s(t) = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - (-1)\/((-2)\/2). Let o = d - -3. Let f = -83631.1 + 83631. What is the closest to f in 0, 0.2, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = b - 5 + 6, -2*b = p - 12. Put -125, -2, b in descending order.\nAnswer: b, -2, -125","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 0*u + 0*u)*(935*u + 163*u - 584*u + 821*u).\nAnswer: -2670*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s**5 - 4286*s**4 - 171752*s**3 + 220326*s**2 - 44280*s = 0.\nAnswer: -492, -45, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (7 + -1 - (0 - -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -59 (b) -0.23 (c) 5\/8 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 4*g**7\/21 + 44*g**6\/15 - 17*g**5\/40 - 187*g**4\/24 + g**3\/12 + 11*g**2\/4 - g + 38. What is b in f(b) = 0?\nAnswer: -11, -1, -1\/4, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 4154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**2\/2 - 21. Let z(j) = -45*j + 2. What is z(w(d))?\nAnswer: 45*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18.894 (b) -1\/3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*y + y + 682 = 0, -5*y = 25. Suppose o = -4*n + 13. Let c be 9\/((-108)\/n) - 3\/9. Solve -c*p + 15 = 0, 10 = -0*m - 2*m + 4*p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -6 - (1375 - -20). Is 21*(-1)\/3*l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*r - 7 = 0. Let s be r + -6 - (-14)\/(-8). Is -1 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 292 - 76. Let q = t - 211. Let r(d) = -2*d - 3. What is r(q)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 131, 0.5, -248, -0.3 in ascending order.\nAnswer: -248, -0.3, 0.5, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39700\/105)\/(-20) - (27\/(-81) + 3\/7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 84 = -6*k. Let m be (1\/2)\/(-1)*k. Suppose -5*f + m = 3*q - 2*f, 0 = 4*f - 20. 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 -15\/2*g**3 - 54 + 30*g**2 - 33\/8*g**4 + 36*g - 3\/8*g**5 = 0. Calculate g.\nAnswer: -6, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + k. Let m(w) = -w**3 - 6*w + 5. Let q(x) = -3*f(x) - m(x). Let s be q(3). Solve 2*j - 6 = 3*j - s*h, -5*j = 4*h + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 68.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from nrrhnprrrrrrharr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1053\/117 - 3017\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 149. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)\/p*p*p**(-2\/9))\/(p\/p**(-5\/3)*p**(-3)) assuming p is positive.\nAnswer: p**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -73*n**4\/4 - n**2\/2 - n + 3. What is the second derivative of x(k) wrt k?\nAnswer: -438*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*j - 0. Let w = -46 - -46.4. Suppose -6 = 5*k + 9. What is the nearest to j in w, 0, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 621.\nAnswer: -620.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 275*l - 275*l + 542*l + 1.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*sqrt(85)*-3)\/(sqrt(50)\/(1*sqrt(10))*-3).\nAnswer: -30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.65 - -0.35. Let u = -18 + h. Let s = -6 + 0. Sort u, s, -4 in descending order.\nAnswer: u, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eses when four letters picked without replacement from eeesseesessee.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1020.6 and -2?\nAnswer: -2041.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 2, k: 2}. Give prob of picking 1 k and 1 g.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.5 - 11. Put 2, i, -4 in descending order.\nAnswer: 2, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1))\/(12\/36)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/70 + (234\/14 - 1). Solve 0 = s - 5*n - 27, 3 = 2*s - 3*n - l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/104 and (((-201)\/5427)\/((-26)\/(-3)))\/((-8)\/357).\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33\/2 - 163\/10. Let w = -5 + 10. What is the nearest to u in w, -2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -238, 1, 2 in descending order.\nAnswer: 2, 1, 2\/9, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**3 + 78*x**2 - 18*x**3 - 78*x**2.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 5*w = 30, -52*w + 55*w + 34 = 5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*c = -120, -2*c - 93 = -3*s - 6*c. Suppose -441 = -s*j + 6*j. What is the remainder when j is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(680\/30))\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -521*4.757\nAnswer: -2478.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42825 is divided by 595?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000122567 to 6 decimal places.\nAnswer: -0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 5. Let d be (-51)\/(-7) - l\/(-56). Let k be 11\/7 + 8\/(-14). Solve 3*b + k = d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykkkyyy. Give prob of sequence kkyy.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14334.\nAnswer: 2, 3, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2656 + 2657. Let q = 4 + -1. Solve 0 = 2*n - q*n + h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667587?\nAnswer: 3, 193, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**4*d\/d**(-9)*(d\/(d*d*d\/(d*(d\/d**(-2\/5))\/d*d)))**(5\/4) assuming d is positive.\nAnswer: d**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 8*i - 4. Let f be m(-9). Suppose -13 = -4*z - f. Suppose -2*w = 2*w. Solve w = -b - z*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 20, 8 = g + 3*x - 17. Let p be (-63)\/(-36)*g*2. Let w = p - 24. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -46, 1\/293, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 567*g - 2525*g - 33369 + 199799 = 0 for g.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1388 from 0.64873099.\nAnswer: 1388.64873099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 - -35. Let t(n) = -n**3 + n + 1. Let i(a) = -2*a**3 - a**2 + 2*a + 1. Let l(h) = f*i(h) + 5*t(h). Determine l(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 86*k + 251. Let m be r(-3). Which is the third smallest value? (a) 0.2 (b) m (c) 1\/7 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-104)*9)\/(-3).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778 is divided by 5 + 2 + -6 + 4 - -66?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or -1967\/139?\nAnswer: -1967\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 16 = 6*t. Solve -t*d + 1 + 15 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -146099, -146093, -146077, -146045, -145991, -145909, -145793?\n\"Answer: z**3 - z**2 + 2*z - 146101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -225, 3, 22, 4.\nAnswer: -225, 3, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21225 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 8*r**2 - 5*r - 8. Let s be h(4). Suppose -s = -4*z + 108. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-935)\/255)\/((-451)\/(-3321))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 10*b + 384 = 0. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 2. Let i(x) be the third derivative of x**4\/24 + x**2. Suppose 4*z - 1 = 11. Let v(n) = z*i(n) - f(n). Calculate v(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w = -5*z - 35*w + 1465, -z - w + 290 = 0. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 294 and 265 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**4\/4 + 10*x**3\/3 - 3*x**2\/2 - 6*x - 31. Let i be c(-10). Calculate the highest common factor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 389 - 253. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t*t**15\/t)\/t)\/t)\/t)\/t*t**(-2))\/(t**(-3))**(-3\/10) assuming t is positive.\nAnswer: t**(81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 6*u**2 - u - 4. Let b be x(-6). Let g(n) = 3*n - 2. Let t be g(b). Solve 0*v + t*a = 3*v - 20, -3*v = 3*a + 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 3*c + 14*c)*(0*c - 4*c - c) + 2*c**2 - 30*c + 30*c - 1.\nAnswer: -53*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-246 - 14)*2\/(-2).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/8624 and -59\/487872.\nAnswer: 3415104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/21*-6*(-1)\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73789 and 339.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32940582 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-2) - 28\/(-7). Find the second derivative of 4*c**x + 3*c**3 + 4*c + 3*c**3 wrt c.\nAnswer: 60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 - 46.039. Let o = 0.061 - v. What is the third smallest value in 2, -5, o, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60803 is divided by 8529?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 32*t**2 - 106*t - 168. Let v be w(28). Which is the nearest to v? (a) 6 (b) -1 (c) 0.4 (d) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 217012 - 216403.956. Let f = 609 - z. Round f to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mma when three letters picked without replacement from aaaaaaaaammamaaamama?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31379*l**3 + 31381*l**3 + 1 - 3.\nAnswer: 2*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*t**2 + 20*t**2 + 16*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 111900 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 21173326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, i: 6, z: 1, l: 6, p: 2}. What is prob of picking 2 q?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -620274117 + 1240548241 - 620274124 - 12*f**2.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-17) + 15112\/136. Let l be ((-1)\/(-3))\/(1\/(-327)). Let w = l + t. Solve -2*v = -w*r + 10, -5*v + r - 6*r - 25 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17416939*y**2 + 221398*y - 9?\nAnswer: -34833878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from {f: 2, g: 1, i: 1, w: 1, s: 1, p: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 5*i**4\/12 - 865*i**3\/6 + i - 129. Solve d(t) = 0.\nAnswer: 0, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(252) + sqrt(252))*-5*-1)\/(-2*(2*sqrt(100) + sqrt(4))).\nAnswer: 15*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 2, w: 1, h: 1, n: 2, i: 2}. Give prob of sequence rw.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 9*j = -4011. Suppose 7*n + j = -1870. Let y = -56 - n. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 90*z - 50*z**2 + 74*z + 2*z**2 + 10 - 129 + 4*z**3 - 1 = 0?\nAnswer: 1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2223*p**3 - 9*p**2 + 1276823*p wrt p?\nAnswer: 13338*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 201650 (base 8) to base 10\nAnswer: 66472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 34204 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 370 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1575)*2 - (sqrt(315)\/sqrt(5) + 4))**2.\nAnswer: -216*sqrt(7) + 5119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 19 + 28 - 47. Calculate t(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65272 is divided by 65250?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7620, -16108, -25438, -35610, -46624?\n\"Answer: -421*g**2 - 7225*g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*o + 158, 238 = -5*m - 3*o + o. Suppose 5*a + 78 = 2*a. Let b = a - m. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(7 + 2 + (39 - 36) + -11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.1, -2\/3, 1\/4.\nAnswer: -2\/3, -2\/9, 0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 19545.\nAnswer: 1\/6515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*c**2 - 180*c**2 - 26*c**2 + 73*c**2 + 72*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((5*(sqrt(891)*-1 + sqrt(891)))**2 + (2 + sqrt(44))*-1).\nAnswer: -4*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j - 21. Let p(g) = 10*g + 19. Let d(y) = -8*p(y) - 7*r(y). Let v(h) = 9*h + 15. Calculate 8*d(n) + 3*v(n).\nAnswer: 3*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -667 (base 12) to base 13.\nAnswer: -577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*b + 1637 + 1387 = -21*b + 14*b for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(76)*-4 + sqrt(76) + -4 + -4.\nAnswer: -22*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.42? (a) 10\/9 (b) -10\/9 (c) 5 (d) -2\/3 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360634167 and 3438?\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 74 = -19. Calculate the highest common factor of v and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 10. Let p = -5.61660629 + 0.61660653. Let r = a - p. Round r to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h - 2*h - 2*h)*(h**2 - 2*h**2 - h**2)*(4*h - 2*h - 26 - 18) to d*h**4 + w*h**2 + c*h + a + g*h**3 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 17 + 7. Suppose -o*m + 363 = -x + 4*x, -587 = -5*m + x. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12707228*a**2 + 3022764*a - 2 wrt a.\nAnswer: 25414456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 + 2*l - 2*l. Let q(s) be the third derivative of s**7\/1260 - s**5\/20 - s**2. Let m(o) be the third derivative of q(o). Give m(v(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 7*k. Let o(w) = -6*w + k*w + 8*w. Let z(u) = -7*u**2 - 6. Let j(x) = -13*x**2 - 11. Let r(f) = 6*j(f) - 11*z(f). Give r(o(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 9394332*v. Let b(o) = -17*o. Give b(l(n)).\nAnswer: -159703644*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -4*x, 5499*d - 5496*d = x + 62 - 50 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 24*a**2 - 2*a + 6. Let q be b(2). Let m = q - 59. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 2*z**2 + z + 4. Let r be h(-3). Let l = r + 12. Suppose -l*d = -7*d + 84. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2233\/21)\/(-11) - 2\/(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-297)\/1089*(-1)\/4 + 4\/22. Suppose 2*o = -2*o + r - 40, -2*o = 2*r + 10. Let v be 3\/o*-3*0. What is the closest to v in 0.1, 2, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252038032 a multiple of 1424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by 235?\nAnswer: -33\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 5614.\nAnswer: -5614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*c - 1884. Suppose c + 7 = 5*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4600835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*j - 48 = 0, 0 = -p + j + 1 + 22. Suppose 2*x = -12 + 54. Calculate the remainder when p is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 0.066 (c) -5\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1)*(11 - 2 - 7)*(-3*b - 1 + 0 + 2*b).\nAnswer: 8*b + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**3 - 9*b**2\/2 + 4*b + 2. Let q be j(-3). Solve q*o = 4*w + 20, 2*o + 9 = -w + 5*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73466536 to the power of 1\/4, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 27 = -179*w + 174*w, 0 = -2*w + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 6085?\nAnswer: 6088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440625 divided by 3125.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9396555\/8 - 1170046. Let s = r - 4514. Let n = 12361\/2338 - 36\/167. What is the common denominator of n and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63814 + -56411603\/884. Calculate the common denominator of -105\/34 and n.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8032\/251)\/((-3)\/12*-4)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 152 + 852 = 3*h, h - 420 = 3*g. Let r = g - -137. Let k = -3 - -3.3. Which is the biggest value? (a) k (b) -1\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7, -9, -11, -13, -15?\n\"Answer: -2*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -10 + -2 - (1718 + -1717)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 35*g + 266 = -4*n - 16, -47 - 25 = 5*g + 9*n for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 + 17*k - 67. What is l(-11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -250153 (base 6) in base 5?\nAnswer: -1201401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-8)\/(192\/6)*-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*h - 105, -d - 3*h + 46 + 35 = 0. Suppose v - d = -0*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2258 (base 16) in base 9?\nAnswer: -13048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2\/5*g**4 - 6\/5*g + 4\/5 - 2\/5*g**2 + 6\/5*g**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from qzkqx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6*q - 3. Let r = -565 + 567. Let j(o) = 5*o - 2. Suppose -3*k + 1 + 2 = 0. Let v = k - 4. Determine r*w(l) + v*j(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -252\/8179?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177798883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2652 and 21879.\nAnswer: 87516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1863, 3727, 5605, 7503, 9427, 11383?\nAnswer: 13377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 - -0.4. Let x = -1.08 - -5.08. Let q = 1.4 - 1. Which is the smallest value? (a) x (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((42 - 89 - 55)*(0*v + v + v) + 2*v - 2 + 2)*(4*v**3 + v**3 - 4*v**3) + (v**2 + 0*v**2 + 0*v**2)*(-2*v**2 + 2*v - 2*v).\nAnswer: -204*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/25760 and -89\/1640.\nAnswer: 1056160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3369*m**2*y**3 + 15504*m*y**3 - 2*m wrt m.\nAnswer: 6738*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 + 3*u + 5. Let g(d) = 3*d**2 + 4*d + 7. Let f(s) = -9*s**3 + 7*s + 5. Let v be f(-1). Determine v*r(i) - 5*g(i).\nAnswer: -i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -525 = -81*p - 120 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 145 = -y + 4*i, 3*y = 5*i + 495. Suppose -y - 210 = 5*p. Let q = p - -119. What is the highest common factor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 4212 = 3*t + t. What is the smallest common multiple of t and 18?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 13*z**2 + 3*z - 7. Give o(13).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2952 + 106181\/36. Find the common denominator of -103\/10 and x.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -146, -2, -1\/2, 0.4 in increasing order.\nAnswer: -146, -2, -1\/2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 7 = -7*b - 3*o, 36 = 4*b + 4*o. Suppose -53 = -2*a + 7. What is the lowest common multiple of a and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94 - 97.9. Let m = f + 3.9. Let s be (-2 - -1) + (-6)\/(-4). What is the nearest to s in -3, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. Suppose -s*o = -o - 4*q - 48, 0 = -3*q. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46.8 + -47. Let l = -3.982 - 0.018. What is the closest to 0 in t, l, -8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1) + (5 - (6 - 3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -7. Let l(c) = c + i*c**3 + 7*c**2 + 4*c**3 - 6*c**3 + 7 + 3*c**3. Let u be l(-7). What is the closest to 0.3 in u, 1, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611224141?\nAnswer: 11, 1103, 50377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from kkbkbkkbbkkbk?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010100220010 (base 3) to base 7.\nAnswer: -5036400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*v = 538331 + 1093601. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3 + (-3 + 1 + 1)*(2 - 6 + 2) + 92 - 203 + 88)*(0*y - 2*y - 2*y).\nAnswer: 92*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.05 (c) -2 (d) 1\/6 (e) -84 (f) 0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -912.65435 to the nearest ten.\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 8*p**2 + p + 10. Let z be g(-8). Let o(t) = -1 - 2*t**2 + 2*t**2 - 3 + 2*t**z + 3*t. What is o(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -138, -174, -210, -252, -306, -378, -474?\n\"Answer: -b**3 + 6*b**2 - 47*b - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = z + 1042, 0*x + 4*z = 4*x - 1048. Suppose -3*m - 3*s + x = 26, 2*m - 3*s - 161 = 0. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3522 times -13?\nAnswer: 45786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**6\/120 - u**5\/15 + 5*u**3\/2 + 6*u**2. Is b(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*(-3553)\/3857 - (-555)\/(-777)\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2361048 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 5*x - 1 + 11 = 0, 3*t - 4*x = -15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 2:45 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 136210*p**3*t - p**3 + 7*p**2*t**4 - 10*p**2 - 102*p - 6 wrt t.\nAnswer: 136210*p**3 + 28*p**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven quarters of a hour?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4118 or 28830\/7?\nAnswer: 28830\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1562165 is divided by 24408?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in hours?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**3\/3 - 17*x**2\/2 + 6*x + 1. What is the tens digit of v(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72.4 - -81.4. Put -4, h, -2\/7, -31 in increasing order.\nAnswer: -31, -4, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*o**2 + 3*o**2 + o**2)*(-2 - 1 - 5) + o**2 + 0*o + 0*o to l*o**2 + m*o + r and give l.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3279236004?\nAnswer: 2, 3, 11, 752809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 819.473 and -1295.\nAnswer: -475.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.92 + 0.08. Let q = r + -24. Let f = 5.1 - 5. Which is the closest to -1\/8? (a) f (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(10\/(-8) + 1). Let j be (4\/h)\/(5\/(-6)). Are -1 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-129)\/86 - (0 - (6\/(-4) + 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 16. Let z be (0 + -55)*((-36)\/20)\/g. Let d be (-5)\/(z\/9 - 4). What is the greatest common divisor of d and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*l + 5*l. Suppose -5*x + l = -2. List the prime factors of x - (-7)\/((-14)\/(-40)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(((h*h**(-4\/9))\/h)\/h))\/h)**(-30) assuming h is positive.\nAnswer: h**(-130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4193 and 252.\nAnswer: 150948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b + 27. Let x be j(6). Suppose -4*f - 12 = -2*y - x*f, 0 = -3*f + 12. Let w be (1 + -4)\/((-12)\/y). Solve -w*a - 3*a + 10 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -3, -1\/3, 1637?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9704119427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 181.3113 decades to millennia.\nAnswer: 1.813113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 443 = -3*j, j - 5*j = 4*n - 356. Let k = n + -11. Suppose 2*z - 17 = k. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -449, -1839, -4181, -7499, -11817, -17159, -23549?\nAnswer: -31011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 3:21 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*r - 15. Let x(s) = s - 6. Let h be x(10). Suppose -h*f = 3*z - 2*z - 23, z - r = -f. Solve 4*q - 11 = f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 866*q + 13015. What is d(-15)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nojom. What is prob of sequence onjo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - -1.8. Let z = 2.08 + -8.38. Let t = -6.1 - z. Which is the second biggest value? (a) h (b) 1.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 270, -6, 158 in ascending order.\nAnswer: -15, -6, 158, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15398200 and 15800?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -1. Let a = -178 + 177. Put a, c, -3 in decreasing order.\nAnswer: c, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 1\/((-3)\/12). Suppose 0 = -0*q + w*q + 20. Let t = -8 - q. Is -2 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*a + 72 = -0*g, 2*g = 4*a + 6. Suppose -2*y - h + 11 = 0, 4*y + 3*h - g = 4*h. Solve y*z - 4 = -0*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 3*s + 6. Let b(h) = 3*h**2 - 7*h + 11. Let o(j) = j**3 - 51*j - 9. Let q be o(-7). Give q*c(z) - 2*b(z).\nAnswer: -z**2 - z + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 227559, 455049, 682539, 910029, 1137519?\n\"Answer: 227490*u + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 9:55 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 + 2*p - 5*p**2 + 0*p - 23*p**2 to v + g*p**2 + d*p and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c. Let x(g) = -22*g. Suppose 3*u = -2*j - 26, j + 2*u = 3*j + 16. Let f(a) = -2*a. Let k(i) = j*f(i) + x(i). Determine k(w(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4437048, -4437043, -4437036, -4437027, -4437016, -4437003?\n\"Answer: m**2 + 2*m - 4437051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (8\/5 - 6\/(-15)). Factor 177*z**2 + 391*z**2 + 3*z**m + 2*z**3 + 69120 + 8640*z - 208*z**2.\nAnswer: 5*(z + 24)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from ejeeqcen.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + -43 + 84 - (0 - 1 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e2 + -5534?\nAnswer: -5726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13250*u**3 - 851*u**6 + 13250*u**3 + 806*u**2 wrt u.\nAnswer: -102120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {l: 3, s: 5, r: 3, a: 1, g: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113 - -115. Find the second derivative of 11*i**3 + 11*i**h + 12*i**3 + 44*i - 11*i**2 wrt i.\nAnswer: 138*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 3, q: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 1. Let z(l) = 2*l**3 + l**2 - 3*l + 3. Suppose 0 = 3*u + 2*t + 2, -4*u - 27 = -u - 3*t. Let m be 14\/u - (-2)\/4. What is m*b(h) - z(h)?\nAnswer: -2*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 1 + 2)*(-2 + 29 - 291*v + 4*v**2 + 292*v)*(-1 + 4*v**2 + 1) to c*v + y + b*v**2 + a*v**4 + z*v**3 and give b.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3 - 2*y**2 + 2*y + 1 + 29*y**3 - 10*y**3. Is v(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 507?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 - 3*y**2 - y**2 + (4*y - 3*y**2 - 4*y)*(-3 + 3 + 1) to t + x*y + g*y**2 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 100313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -55*d**2 - 2*d + 2. Let m(k) = 660*k**2 + 25*k - 25. Let p = 7920 + -7922. Calculate p*m(b) - 25*u(b).\nAnswer: 55*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from ffpffppffpoffpfpo.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24560\/56417 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5001145 divided by 17305?\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 348 and 1624?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55108\/3 + 18368. Let d = 116702 - 7352798\/63. Let i = d + 62\/7. Which is the third biggest value? (a) r (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -140*c - 3. What are the prime factors of m(-1)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385306 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -101*f + 1. Let v be j(-1). Let p = v - 53. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/57, 4, -0.35.\nAnswer: -0.35, 2\/57, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 306 - 340. Let q = 315.15 - 350. Let y = o - q. What is y rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*y - 5*t, 0*y + 5*t = -3*y - 9. Solve -5 = -3*i - y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 81014291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-84)\/(-9) - (-4)\/(-12). Suppose -5*o = 2*d - 37 - 58, -z = 3*o. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -269*c**2\/2 + 172*c - 495. What is the derivative of b(y) wrt y?\nAnswer: -269","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -43. Suppose y = -2*a - 4*n, a - 8 = -0*a + n. Let k be 0\/(-2) - a\/(-1). Solve 4*o = -4*w + 36, o + k + 1 = 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3723\/23 - -153353\/966. What is the common denominator of v and -1\/63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 2*t**3\/3 + 533*t**2 - 2140*t - 4635. Suppose r(s) = 0. What is s?\nAnswer: -535, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5347 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 672894896 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 + 0.17. Let x = 14884 + -14884.12034. Let w = m + x. Round w to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.3 (c) 4 (d) 32\/7251 (e) -0.04 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {j: 12, b: 7}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 278 = 186. Let n = m - -114. What are the prime factors of n?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*k + 77*k - 25 = 0. Calculate the lowest common multiple of (-1 - -3) + 133 - k and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17993 at most as big as -17997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4\/181, -27, 4, -0.4, -28 in decreasing order.\nAnswer: 4, 4\/181, -0.3, -0.4, -27, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 132, -4, -3, 4 in descending order.\nAnswer: 132, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 103*w - 617. Let z be h(6). Let t = 1129\/7 - 161. Which is the second smallest value? (a) t (b) z (c) 0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88170737 to the nearest 1000000.\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*v + 38 = 0, p - 6*p + 228 = -4*v. Let u be 17 - 3\/(1 + -4). Let y = u - 3. Calculate the remainder when p is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -155201*w - 1241617. Give y(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - -0.7. Which is the third smallest value? (a) -3 (b) x (c) -0.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umb when three letters picked without replacement from buvumauuvuuwmbu?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 10074?\nAnswer: -10081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -798333 - -798277.00385. Let h = 56 + j. What is h rounded to 4 dps?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**6\/360 + g**5\/24 - 37*g**4\/4 + 5*g - 6. Let a(q) be the third derivative of n(q). What is a(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 9 = 3*p, -3*p - 1 = 28*b - 27*b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 41 = 3*i, -4*q - i - 57 + 31 = 0. Let h be -8*(-1)\/(-4) - q*1. Let x = -9 + 20. Solve -4*b + x + h = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-27)*-2)\/((-3)\/(54\/(-9))).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -717 + 713. Let p = 44 - 43.92. What is the closest to 1\/2 in g, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -265 - 3756*z**4 - 3471*z**4 + 6636*z**4 wrt z?\nAnswer: -2364*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111040 (base 7) in base 11?\nAnswer: -1378a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*r = -4*u + 89, 5*r = -5*u + 130. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-80) + (2\/8 - 0). Let v(n) = n**3 + n + 3. Let t be v(u). Solve 124*w**4 + t*w**5 + 33*w**3 + 6*w**5 + 3*w**2 - 91*w**4 - 6*w = 0 for w.\nAnswer: -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/21 + 60028*n\/21 - 450420098\/21.\nAnswer: -2*(n - 15007)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -27 + 2, p = -r + 15. Let l be (2\/15)\/(8\/p). Let s = 1.2 + 1.8. What is the nearest to -0.1 in 1\/3, s, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(68)*-2 + sqrt(204)\/sqrt(48))**2.\nAnswer: -2499\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 2100222?\nAnswer: 2101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*y + 691 = 296 + 137 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(-g + 0*g + 2*g) + g + 3*g - g)*(-5 + 7 + 10).\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 1521 = 7*y. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2*q - 10. Suppose q + 10 = 4*y. Let u be 4\/(-5)*90\/(-4). Solve -5*o - u = j + 12, -y*j + 2*o = 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7581 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 t be 213\/24 - (5\/(-8))\/5. Suppose 0 = t*n - 83 - 43. What is the remainder when 37 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 1\/2*p**2 + 30 + 0*p. Let k(l) = -3*l**2 - 3*l**2 + 4*l**2. What is k(b(x))?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, e: 6, o: 2}. Give prob of sequence eef.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -23*n - 48 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-5 - -4)) + -15 + 6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -186\/49 or -4?\nAnswer: -186\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k + 5. Let u(v) = -1. Let s(p) = -d(p) - 6*u(p). Let j = 26 - 36. Let i = -8 - j. Give s(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -3)*(-1)\/2. Suppose -m + 17 = 3*q, 3*m + 2*q = 8*m. Suppose -m*k + 7*k - 40 = b. Calculate the highest common factor of k and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 o, and 1 q when three letters picked without replacement from aoaaaaoraqaoqrqaaa.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9.46 in -0.03, -4\/3, -0.24, -0.1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 13*f + 67. Let v be r(-5). Suppose 2*y = 3*z - 560, -v*y - 3*y + 181 = z. Does 29 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, g: 1, s: 2, o: 2}. Give prob of sequence ogs.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12602 - -302549\/24. Calculate the common denominator of -79\/18 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/4)\/q)**(5\/3)*((((q**1\/q)\/q)\/q)\/q)**20)**(2\/15) assuming q is positive.\nAnswer: q**(-149\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**2\/5 + 92*m\/5 - 40 = 0. Calculate m.\nAnswer: -25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 236 and -11?\nAnswer: -2596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + -32. Let z(r) = -4*r + 39. Let s be z(v). Does 7 divide -3 + s + 58\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7264 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k*r*u**2 + 19*k*r*u - k*r - 9256993*k*u**2 - 2*k + 2*r*u - 23*r + 4*u - 7 wrt u.\nAnswer: 2*k*r - 18513986*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3 + 7. Suppose -2*q = 2*o + 4, 1 = 5*o - 9. Let s be (q\/(8\/6))\/1. Put s, h, 0 in descending order.\nAnswer: h, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + o - 3*o)*(2 - 8 - 11)*(0 + 2 - 3) - 5*o + 10*o + 13*o in the form l + w*o and give w.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 3. Let r be f(6). Let x(m) = -m**3 - m**2 + 3*m + 1. Let y be x(-2). Let o be y + -2 - (5 - 8). Solve o = -4*a + a - r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 464 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/6)\/((-2)\/(-18)). Suppose -4*r + 6*p = t*p + 2, -5*p = 2*r - 12. Let s be ((-230)\/(-45) - 3\/27) + -12. Sort r, -3, -5, s in descending order.\nAnswer: r, -3, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c + 91 = -131. Solve -2*i + 4*q = -8, -2*q = -4*i - c + 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8045, -16089, -24133, -32177, -40221, -48265?\n\"Answer: -8044*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8)\/j**27)\/(j\/j**(-11\/4)*j**(3\/16)\/j) assuming j is positive.\nAnswer: j**(-607\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -32831021 and -328310209\/10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s + 4*s + 3*s**2 - 2*s**2 - 33 + 7*s**2 + 33 + (-1 - s + 1)*(-s - s + 4*s) to the form c*s**2 + y + g*s and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16308523.6 rounded to the nearest one thousand?\nAnswer: 16309000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -481475?\nAnswer: -192590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 - -0.24. Let l(s) = s + 13. Let v be l(-9). Let y = 35 - 242\/7. What is the biggest value in p, y, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -360120, -359732, -358694, -356682, -353372, -348440, -341562, -332414?\nAnswer: -320672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 10:01 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14469490 by 29834.\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l + 2. Suppose -5*z + 6 = 31. Let v(w) = w - 2. Let j(f) = z*v(f) - 4*x(f). Is j(5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 34 = 2*v + i, -4*v = -2*i + 16. Let d(k) be the second derivative of -k + 1\/6*k**3 + 1\/2*k**2 + 0. Give d(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-208)*2)\/(1\/(-156)*4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = -78*y + 106 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3288892*w + 28. Let p be f(-9). Round p to the nearest one million.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2451 + -34?\nAnswer: 2413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1245468390?\nAnswer: 2, 3, 5, 3449, 12037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 divided by 9.\nAnswer: -77\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-268)\/737)\/((-24)\/1056)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 12*v. Let p(j) = -130*j - 140. Let w(s) = -3*s - 14. Let i(n) = -p(n) + 10*w(n). What is i(h(d))?\nAnswer: 100*d**2 - 1200*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 0*a + 0*a**6 - 2*a**2 - 5\/3*a**3 + 1\/21*a**7 + 0*a**4 + 0*a**5 + 0. What is the derivative of l(z) wrt z?\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 310441282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/102)\/(-8 + 22\/3).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1113295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34400 = -350*d - 36150 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 3:53 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1496728.\nAnswer: 2, 187091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0+12073828\nAnswer: 12073828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.007 + -5.007. Let a = g + 0. Let d = 10.7 + -10. Put a, d, -0.4 in increasing order.\nAnswer: a, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32 + 9\/(3 - 6). Let x = s - 85\/3. Factor -2\/3*f**2 + 4\/3 + x*f.\nAnswer: -2*(f - 2)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 258 = -764. What is the remainder when b is divided by 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1540\/1694)\/((-1)\/11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 454255, 454243, 454223, 454195, 454159, 454115?\nAnswer: 454063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 28 = -2*j. Suppose 40 = -j*n + 2*n. Let k = n - -11. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8028232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*f - 4*o, 413*f + 37 = 418*f - 2*o for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/5*2*-5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v**2 + 2*v - 2. Let m(z) be the second derivative of -5*z**4\/6 - z**3\/3 + 3*z**2\/2 - z. Let l(q) = 3*m(q) + 4*o(q). Give l(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -19, 1562 in decreasing order.\nAnswer: 1562, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 36 + -2ef?\nAnswer: -2b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -24 - (-72 + 40).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 363 and 0.\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/65 (b) -15 (c) -2 (d) 2\/3 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56269709 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/58 and -27\/39041?\nAnswer: 2264378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 20*p + 12. Let d be a(0). What is the closest to d in 0, 4, 11, -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/2 + 57*q**2\/2 + 627*q\/2 + 567\/2.\nAnswer: -3*(q - 27)*(q + 1)*(q + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 9*m - 2*m**2 + 5*m**2 + 8)*(-2*m + 2*m - 3*m**2) to the form k*m**3 + v + h*m + g*m**2 + r*m**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (-2 + 1 - 1). Suppose 0*r = -p*r + 26. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**22*a*a**(-8\/7)*a)\/((a**13\/a*a*a)\/(a*a\/(a*a*a\/((a*a\/(a*a**(-16\/5)*a))\/a)))) assuming a is positive.\nAnswer: a**(352\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 10. Let y be t(6). What is the common denominator of (2\/y)\/(6\/(-13)) and ((-3)\/(-15))\/(-1*(-10)\/(-1025))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**3 + 4*w**2 + 4. Let v(n) = -n**3 + n**2 - 1. What is -b(s) - 4*v(s)?\nAnswer: s**3 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2121 divided by 8?\nAnswer: -2121\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 2*d + 3. List the prime factors of c(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 392804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 761451, 1522912, 2284369, 3045822, 3807271, 4568716, 5330157?\n\"Answer: -2*s**2 + 761467*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 6:16 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 360\/23 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)*-2)\/sqrt(6) + (sqrt(21) + sqrt(21) + (sqrt(21) - sqrt(105)\/sqrt(5)*4) - sqrt(21)))\/((sqrt(7) - (sqrt(7) + -4*sqrt(42)\/sqrt(6)))*3).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2. Suppose 5*d + 13 = -2. Let w(k) = -3*k. Let s(j) = 9*j. Let v be 1\/(2\/4) - 10. Let p(c) = d*s(c) + v*w(c). What is h(p(q))?\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12002111102 (base 3) to base 10.\nAnswer: 100235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -20*a - 2. Let d(z) = 11*z**2 + 5*z. Let m(s) = 39*s**2 + 18*s. Let x(f) = -18*d(f) + 5*m(f). Give x(q(c)).\nAnswer: -1200*c**2 - 240*c - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 12 - (3 - 8). Suppose 3*y = 10*y - n. What is the third derivative of -15*s**3 - 9*s**y + 9*s**3 - 5*s**2 + 12*s**3 wrt s?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -42 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4 - 90*v**3 + 540*v**2 - 1080*v.\nAnswer: 5*v*(v - 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 0*f - 3*f - 18 = 0, -f = 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4371 (base 10) to base 3\nAnswer: -12222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 2. Let i = 1 - m. Suppose 3*k - 8*k = i. Solve 9 = -k*z + 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = -73 + 28. Let s(a) = 2*a + 6. Let d(j) = j + 5. What is m*s(c) + 6*d(c)?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 11*p + 1. Let g be q(10). Let b = g + 13. Solve u - 3*u + b = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. Suppose -4 = -2*d + i. Solve f + 5*u + 23 = 6, d = -u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c - 21. Let k(j) = -j + 12. What is -14*k(y) - 6*n(y)?\nAnswer: 2*y - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 - 33*a - 1941. Give r(-33).\nAnswer: 1326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -1\/8 (b) 12 (c) 0.03 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 = -1. Suppose -3*n - 37 = -4*i, -3*i + 5 + 22 = -2*n. What is the second derivative of 2 + z - i + x + x**3 wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -53*n + 100. Give m(3).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/8*-1 + 2\/8. Suppose -11*a + 6*a + w = -40, 43 = u*a - 3*w. Solve -d - 5 - 1 = s, 2*s + a = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*o - 46 = 0, -3*x - 2*o = -0*o - 49. What is the remainder when 24 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-3)*-6*(-3)\/(-6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*p**2 - 257*p**2 + 48*p - 71*p + 23*p.\nAnswer: -547*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 278416.\nAnswer: -278414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**32*l*l**31)\/(l**38*l*l*l*((l\/(l**(25\/3)\/l))\/l)\/l*l) assuming l is positive.\nAnswer: l**(91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 3*i - 1. Let z(f) = 2*f**2 - 6*f + 1. Let u(x) = 7*a(x) + 4*z(x). Let w be u(4). What is the nearest to w in -2, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15190000 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 464 = -0*h - 4*h + 382, h + 26 = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 5. Let g be k(-5). Suppose 0 = 8*m - 3*m - 20. Let b be (-2)\/(m\/22)*-1. Solve g = -2*f - 4*p + b + 5, 4*f + 3*p - 17 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 7. Suppose -10 = 9*h - s*h. List the prime factors of 56\/h + (-6)\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 624 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + d. Let r(l) be the third derivative of -l**6\/15 + 3*l**5\/10 - 3*l**4\/4 + 3*l**2 - 333. Give 4*r(n) + 72*v(n).\nAnswer: -32*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -610639 (base 11) to base 15.\nAnswer: -145d2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/8008 and -21\/5720.\nAnswer: 40040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -8*z + 2*p + 56, -4*z + 4*p + 48 = 0. Let x = 65 - 35. Calculate the lowest common multiple of z and x.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**2 + 4452*b + 4448 = 0 for b.\nAnswer: -1112, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - 2 + 7 - 1)*(-1 - 5 + 3).\nAnswer: 6*a**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 140?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -1\/2*h**4 + 0*h**2 + 0*h - 4\/3*h**3 + 4. Find the third derivative of i(m) wrt m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(152) + sqrt(152)*1 + sqrt(152)) + sqrt(152) + (sqrt(152) - -4*sqrt(152)*-1))\/((2*sqrt(288) + sqrt(288))*-2 - -2*-2*sqrt(288)).\nAnswer: 17*sqrt(19)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -708?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = l - 3*l + 2*v - 65 + 55, -3*l - 24*v + 777 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 226844723?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 58\/77 + (-4)\/22. Let h = -13.1 - 7.3. Let o = h - -20. Which is the nearest to 0.2? (a) 4 (b) o (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 10*p - 1. Let o be j(6). Let i be (-6)\/(-4)*5\/o*2. Is i > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 17, -18, 2, 16 in descending order.\nAnswer: 17, 16, 2, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -30 - 15*q - 9*q - 15 + 0 + 8*q. Let m be u(-3). Is m > 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -493800 rounded to the nearest ten thousand?\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281, -191, 283, 1159, 2455, 4189?\nAnswer: 6379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r**3 + 5*r**3 + 7*r**3 + (0*r**2 + 3*r**2 - 4*r**2)*(-1 + 2*r + 1) to x*r**2 + c*r + f*r**3 + z and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -10 + 5*h**2 + 4*h**2 - 10*h - 7*h**2. Let t be p(6). Put -5, t, 1 in increasing order.\nAnswer: -5, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (154\/42 - 4)*-33. Suppose -45353 = -2*q + 5*p, 3*q + q - p - 90751 = 0. Suppose -q = 2*h - y*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 8:46 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**3 + 5*n**2 - n. Let b be a(6). Let i = b + -512. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjvjjvjsvvjvjjjjvj. What is prob of sequence jvv?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 23*t**2 - t - 23. Give n(-23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v - 10*v**2 - v + 5*v + (3*v + 0 + 0)*(2*v - 3*v + 2*v) as n + m*v + q*v**2 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 52*c**4 - 2*c**2 + 228?\nAnswer: 208*c**3 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 12:41 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30\/4 + 7\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -572200 to the nearest ten thousand.\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 18870*o**2 + 150*o. Let f(z) = -510*z**2 - 4*z. Let y(w) = 75*f(w) + 2*x(w). Let t(n) = 2*n. Calculate y(t(s)).\nAnswer: -2040*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/(133\/19))\/(3*5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 18 + 36. Let n(c) = -c**2 + 18*c - 5. Let m be n(t). Suppose 0 = -5*d + 10. Sort d, m, -1.\nAnswer: m, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232b4 (base 15) to base 16\nAnswer: -1b57a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 671025664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 155 + -87. Let i = q + -41. Let p = i - 26.99777. Round p to 4 dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 16907218\nAnswer: -17\/8453609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 5*o = -35, 1123989*n - 20 = 1123984*n + 2*o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 4*b + 128. Suppose -9*a + 10*a - b = 0. What is the first derivative of 4 + 5*h**4 + a*h - 32*h wrt h?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 k, and 1 a when three letters picked without replacement from qqqwwwwqwwwawaklw.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 4 - 2) + 40 + (10 - (-7 + 15))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.71 rounded to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - -10. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 0. Let i = 3.2 + g. Which is the smallest value? (a) -3 (b) -1\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-16)*(-6)\/(-3). Let c = 282\/1001 + 4\/1001. Put c, q, -2\/3 in descending order.\nAnswer: c, -2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -870 + 180*l**2 + 870 - l.\nAnswer: 180*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1304 and 2125846?\nAnswer: 8503384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/14 and -8\/1449.\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**8\/h)**(-3\/8) assuming h is positive.\nAnswer: h**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/19, 2, -1\/3 in increasing order.\nAnswer: -1\/3, 4\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3744\/(-8008) + 2\/11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m - 13*m - 14*m - 109*m - 46.\nAnswer: -128*m - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57*t**5 + 2*t**4 + 3*t**2 + 110*t + 1 wrt t.\nAnswer: -3420*t**2 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -22, -25, -28, -31?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4))**8\/(n**0)**(-27)*((n\/((n*n**(2\/11))\/n)*n*n)\/n**6)**(-2\/7) assuming n is positive.\nAnswer: n**(32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - (-69 - -108)) + 108.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*c**4 + 10 - 5 - 5 - 4*c wrt c?\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 17*p**2 - 440*p + 1122. What is d(23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((0 - -1) + -2)*2. Suppose 0 = -4*a + a + 3. What is the nearest to 0 in j, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 = 3*w + 18, -n = 1. Let x(p) = -4 - 4*p - 2 + 2*p. Let t be x(w). Which is smaller: 7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 24, -211, -5, 8, -2 in ascending order.\nAnswer: -211, -5, -2, 5, 8, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = q + t + t, 291 = -3*q + t. Let y = 215 + q. Calculate the highest common factor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(-9\/4)*(q*q\/q**(-3))**28 assuming q is positive.\nAnswer: q**(551\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*s + 19, -6*y - 4*s = -y + 1. Let w = 1 - 51. Let u = w + 52. Solve -y*f - 2*r + 3*r = -2, f + r - u = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 33 - 3627*o**2 - 6644*o**2.\nAnswer: -10271*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(-3*sqrt(600))*-6.\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 15 = 2*s. Let x = 166 - 91. Suppose 4*m - 3*u - x = 0, -s*u - 52 = -2*m + 3. What is the highest common factor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + k + 8 + 10 = 0, 4*v = 2*k + 78. What is the remainder when 82 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*g + 96 = 58*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtxxxltmxtuxxpttxx. What is prob of sequence lxtm?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/6 + (4\/(-6) - -1). Let g be -1*(y + 9*4). Is (-12)\/78 + (-14787)\/g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z. Let m(d) = 2*d**2 + 4*d - 4. Let f(x) = -x**2 - 3*x + 5. Let o(i) = 4*f(i) + 3*m(i). Let y(h) be the first derivative of o(h). Determine y(a(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w = 54 + 6. Let l(v) be the second derivative of 1\/6*v**3 + 0*v**w + 0 - 5*v. Let p(n) = -5*n. What is p(l(s))?\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**4 + 0*k + 0*k + (0*k + 0*k - k)*(0*k + k**3 + 0*k) + (-k**2 - 6 + 6)*(k - k - 2*k**2).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 0*m**5 - 35 + 0*m**4 + 0*m + 1\/6*m**6 + 31\/3*m**3 + 0*m**2. Find the third derivative of s(z) wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 881 = -2*s - 0*s, 0 = -4*l - 2*s + 3512. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 77*j**2 - 142*j + 334. Calculate y(5).\nAnswer: 1549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 2554173814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by -36.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006225 to 4 dps.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12.8350416 times 0.2\nAnswer: 2.56700832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2250*o + 108979 + 4756 = 8180 - 24945 for o.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*q*x**4 - 136931*q*x**3 + 4262715*q*x wrt x?\nAnswer: 216*q*x**2 - 821586*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 40*w**2 + 2 + 3 + 8*w + 37*w**2 - 75*w**2. Let u(b) = -b**3 - 4*b**2 - 2*b - 2. Let t be u(-3). What is the remainder when 58 is divided by y(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqtl when four letters picked without replacement from {q: 5, l: 4, t: 2}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7362997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.4 + -1.4. Let z be (-2)\/(1\/2 - 1). Suppose -4 = j + z*i - 0, 4*j = -i + 14. What is the closest to j in v, 0.4, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14677 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(17) + -1)*-5 - sqrt(68)*-1))**2 + 4 + (-1 + sqrt(2057))*-6.\nAnswer: -120*sqrt(17) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008368 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3145429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*y = 24*y + 56*y - 770 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*x = 21, -3*x + 2 + 11 = 2*d. Let r be d\/5 + (-4)\/(-10). Solve 2*z - r = -10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 23*b. Let v(p) = -7*p + 3*p + 4*p + p. Determine x(v(j)).\nAnswer: 23*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2482981 and 1.6.\nAnswer: -2482979.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 875 and 1265000?\nAnswer: 8855000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16657, -33306, -49955, -66604, -83253, -99902?\n\"Answer: -16649*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -9341662, 3 in increasing order.\nAnswer: -9341662, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/(-15) - (-5 - -8). Let k = 0.253 - 0.023. Let q = -2.77 - k. Sort 4\/9, q, n in decreasing order.\nAnswer: 4\/9, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2\/4 - 275*r\/2 - 15125\/4.\nAnswer: -5*(r + 55)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4 + o - 8*o - 3. Suppose -30*w = -53*w + 46. Determine p(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.031 in -0.5, 1.65, 1, 82, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17a + 92a?\nAnswer: aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j**4\/5 + 34139*j**3\/10 + 15641*j**2\/5 - 5689*j\/10 - 1422\/5 = 0 for j.\nAnswer: -2844, -1, -1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 94, -952, -2720, -5210?\n\"Answer: -361*k**2 + 37*k + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -7. Let k = c + -4. Suppose 3*y + 39 = 6*y. What is the greatest common divisor of y and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -140923.7635 + 140953. Let y = 28.57 - x. Let o = y + 0.66. What is o rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 17. Let k(o) = o - 3. Let q(d) = -1. Give i*q(a) - k(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -26*q**2. Let g(b) = 48*b**2 - 40*b - 5. Let t(w) = -46*w**2 + 31*w + 4. Let i(l) = 4*g(l) + 5*t(l). Give i(o(y)).\nAnswer: -25688*y**4 + 130*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2 - 7*g + 9. Let d be w(3). Suppose -222 = d*f - 1317. Calculate the remainder when f is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3629, 14554, 32793, 58370, 91309, 131634, 179369?\nAnswer: 234538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y = 80*y - 444 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 191923433015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*153\/1026 + 4\/(-38).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199379997?\nAnswer: 3, 2347, 9439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -182, -4, -2\/5, -9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -232\/963 - -2\/107. Let b = -229.5 + 230. What is the nearest to 2 in b, -2\/7, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 966 + -430. Let v = d + -524. Calculate the remainder when 405 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 22760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/162*9*4*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6 + 8*s + 0*s - 10*s + 0*s. Let h be z(3). Let n(i) = -8 - 4 - 2 - 9*i + i**2 + h. Determine n(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33700472 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/((-1)\/(-432)). Calculate the greatest common divisor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 10*i**2 - 8*i + 4. Let h be d(3). Suppose 0 = -5*t + 5*w + h, -2*t + 5*w + 23 = -2. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250 and 3375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2833818 and 141.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**2 - 52*w + 33. Calculate the remainder when v(-8) is divided by 44.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 - 89. Let s = 1.57 - 1.5. Which is the second smallest value? (a) g (b) s (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 65001 = -k, 0*k + 25 = -5*k. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 + 2*i. Let k(w) = -w**3 - 9*w**2 - 8*w + 4. Let j be k(-8). Suppose -4*x = 2 + 22. Let p = j + x. What is y(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*s - 8, -c - 3*s = 3*c - 8. Let l(g) = 18*g + 0*g**2 - g**c - 26*g - 5. Let v be l(-7). Solve v*p + 0*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 3*u + 20 = 0. Suppose 0 = -6*v + 2*v - 12. Which is the third smallest value? (a) 5 (b) u (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1603634 and 1740.\nAnswer: 1395161580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 10385.22 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51618443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*q - 1426, 0 = -4*m + 5*q - 3*q + 2828. What is the greatest common factor of m and 512?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 13, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 2:18 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51493 - 780 = 13*s. What is s rounded to the nearest one hundred?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16271711213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 681638*r - 681638*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 4*l + 23, -23*q - 7 = -24*q - 2*l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -61.\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + 0 + -4.\nAnswer: -4 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -298 (c) -5 (d) 6\/11 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 56*h**2 + 119*h - 97. What is f(58)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 25*y - 27*y = -26, 2*b = 3*y - 19 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2925 divided by 225?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n**2 - 15*n**2 - 4*n**3 + 10*n**2 = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -4, -13, 213\/7, 0.\nAnswer: -13, -4, 0, 213\/7, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 149601 or 149581?\nAnswer: 149581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from iczzczzzzzzzczr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*p + 27975 - 236822 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6034 divided by -79\nAnswer: 6034\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, q: 6, y: 2, s: 1, c: 1}. What is prob of sequence bsqc?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29636 divided by 393.\nAnswer: -29636\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 845 times 5106?\nAnswer: 4314570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 107 + -85. Calculate the remainder when 35 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18294 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -98d6 - 25d?\nAnswer: -9b55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/4)\/t)**(-2\/67)*t**(-3\/2)*t**(5\/8)\/t assuming t is positive.\nAnswer: t**(-1009\/536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.86 + -10. Let b = 40.8 + -45. Let n = 4.2 + b. Is g < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 - -67. Is a < 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 24*d - 1559. Let r be m(65). Is 2\/27 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59.268 - 59. What is d rounded to two dps?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**5\/2 - 23180*y**4 - 1582785*y**3\/2 + 3559460*y**2 + 791390*y - 3536280 = 0. What is y?\nAnswer: -38, -1, 1, 4, 9306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**2 - 773314*d - 149503635649 = 0.\nAnswer: -386657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 3*k**4\/4 + 32*k**3 + 462*k**2 + 2352*k + 1618. Factor i(t).\nAnswer: 3*(t + 4)*(t + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220222 + 1030032?\nAnswer: 203210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 960*u**2 - 22*u + 2. Is d(1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 221, 4, 35.\nAnswer: -4, 4, 35, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -557*i + 537*i = 47906000. What is i rounded to the nearest one hundred thousand?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -1321.665?\nAnswer: 1321.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(-1*sqrt(8))*-4)**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1122 = -312*x + 306*x. What are the prime factors of x?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -41*v + 4922. Determine h(120).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((f + 0*f + 2*f)*(3 - 4 - 1) + 1 - 1 + 4*f)*(3*f + 4*f**3 + 13 - 13).\nAnswer: -8*f**4 - 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13546*q**4 + 249*q**3 - 1448*q**2 - 87*q + 3 wrt q.\nAnswer: 325104*q + 1494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.408 + -2.408. What is the closest to -29 in -3, c, -5\/3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 4*g + 63, 780*g = 2347*g - 777*g - 785*g + 5*l - 365 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -248*f**4 - 150*f**3 - 4*f**2 - 2*f + 6532336 with respect to f.\nAnswer: -992*f**3 - 450*f**2 - 8*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 11*n**2 + 8*n**2 + 114930 - 4*n**2 - 114930.\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 1:04 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 5*b + 5. Let l be i(5). Suppose q = 6 - 4. Suppose -q*j + 488 = -0*j + l*p, 2*j + 3*p - 484 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25593 is divided by 25560?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 2*n + 3*n)*(3*n - 3*n - 2*n)*(-255*n + 52*n - 15*n).\nAnswer: 872*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 467460.7t to nanograms.\nAnswer: 467460700000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 + 15*n + 11. Let r(h) = -h**2 + 8*h + 5. What is 13*r(m) - 6*y(m)?\nAnswer: -m**2 + 14*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 10\/9 (c) -18.1 (d) -39 (e) 0.069 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(52\/(-182))\/(70\/(-1274)))\/(-1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -33 + 1474*w + 331 - 737*w - 738*w - 7. Let n(q) = q**2. Calculate n(m(j)).\nAnswer: j**2 - 582*j + 84681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -13*j - 5300. Let h = j + 535. Solve -4*i + 2*p = 6*p + 4, 4 = h*i + 2*p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 5*z + 2*j, 0 = z + z - 2*j - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*f - 8, -3*f + 5 + 11 = 5*m. Suppose 66 = f*s - 80. Suppose q = s + 5. Is q a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(132)*2 + sqrt(132))*1 - sqrt(132))\/(sqrt(1200)\/sqrt(4)) + -5)**2.\nAnswer: -8*sqrt(11) + 801\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3484470 to the nearest integer?\nAnswer: 1867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -19.\nAnswer: -11\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/452 and -101\/6.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - 0\/(-5)) + 5 + -2. Is -2\/25 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(68) + -2 + 4)**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -185\/4 at least as big as 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/69060 and -139\/200274?\nAnswer: 2002740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(sqrt(3) - (-5 + (-3 + sqrt(3))**2))*-1.\nAnswer: -47 + 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4*(418 - (12 + -6)). Let q = -204 - v. Sort -4, 4, 0, q in increasing order.\nAnswer: -4, 0, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7023, 28178, 63461, 112866, 176387, 254018, 345753?\nAnswer: 451586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 87, -95, -169, 51, 751, 2117, 4335?\n\"Answer: 31*f**3 - 132*f**2 - 3*f + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13398\/78 - 78\/(-338). Solve 0 = 15*f - 247 + s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 50*h + 708 = 476, -52 = 3*g - h for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 359 - 190. Is q less than or equal to 337\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1.5, -2, -0.5, 1\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 126 and 3.3213.\nAnswer: 418.4838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 512.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**2. Let l(g) = -157489*g + 450. What is l(u(s))?\nAnswer: -629956*s**2 + 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v - 15*v = 2415. Let f = v - -71. Solve 11 = f*c + 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -130*b**3 + 190*b**2 - 303882.\nAnswer: -390*b**2 + 380*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 23460 = -3*k, 31277 = 4*z + 11*k - 14*k. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/11, -0.4, 32 in descending order.\nAnswer: 32, 3\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 326 (b) -3 (c) 4432.62 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**5\/5 - 6*i**4\/5 + 8469*i**3\/5 - 144516*i**2\/5 - 152988*i\/5 = 0.\nAnswer: -61, -1, 0, 22, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5433)\/(-21) + (-2)\/(-7). Suppose -5*g = -a - v, -4*g + 254 = -a + 46. Is g a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 0*c - 4*c - 9*c**2 - 2*c**3 + 3*c + c**3 - 2. Let l be a(-9). Solve -t - 2*y = y + l, -1 = t + y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdrddrdddrd. What is prob of picking 1 d and 3 r?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 + 15*c - 15*c)*(2 - c - 2) + 20*c**2 - 20*c**2 + 6*c**4 + 13*c**3 - 13*c**3 + 4*c**4.\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -3*s. Suppose -3 = 5*h + s. What is the tens digit of (h - -3)*(-33)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-19075)\/(-9520) + -4) - 8*-1.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j + 6*j**2 + 0 + j**3 - 8 + 8*j**2. Let y(s) = 3*s**3 + 41*s**2 + 18*s - 24. Let r(v) = 17*l(v) - 6*y(v). What is the units digit of r(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**4 + 0*b**4 + 6*b**4 + (-5*b**2 + 5*b**2 + 2*b**3)*(-b + 0*b + 0*b) + 46 - 46 + 68*b**4.\nAnswer: 72*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 11}. What is prob of picking 1 r and 1 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7*h**3 - 21*h**2 + 3*h + 21. Let t(q) = 4*q**3 - 11*q**2 + 2*q + 11. Let z(x) = -3*m(x) + 5*t(x). Calculate z(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 11:08 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + 0*s + 0*s)*(3 - 1 + 1).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1087111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4896)\/(-22848)*(-1)\/(-6)*-1?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3200) + -2)**2.\nAnswer: -160*sqrt(2) + 3204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9869.316 litres in millilitres?\nAnswer: 9869316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 41317, 82445, 123573, 164701, 205829?\n\"Answer: 41128*w + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14761 - -14763. What is the third biggest value in -2\/17, 0.2, -3\/5, p?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -619.66628 to the nearest 10.\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 9*w**2 - 11*w + 9. Let d be o(10). Let z be (d\/(-2))\/(-5 + 4). Let i = 1.3 + -0.3. Which is the nearest to 2\/7? (a) i (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -550193, -1099034, -1647875, -2196716?\n\"Answer: -548841*h - 1352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6135 - -10509. What is the thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.05 - -3. Let s = 0.25 - x. Let u be ((-3)\/6)\/(2\/4). What is the nearest to 1 in s, u, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/11, 0.4, 3 in ascending order.\nAnswer: -2\/11, 0.4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -13*w - 4. Let m be j(-6). Is m - (-1 - 0)*4 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/20 - 3\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/35 - (-392)\/(-12))*(-3)\/4.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 12*i**3 - i**2 - i. Let s be z(-1). Let f be (-11 - -14) + s\/1. Let h = 10 + f. What is the least common multiple of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/14 + 3048\/889\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98502194 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -75, -1, 4, -4 in ascending order.\nAnswer: -75, -4, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-13 + 15)) + 0 - -11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009541 to six dps.\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - i**2 - i. Let g(p) be the second derivative of 7*p**5\/20 + p**4\/2 + 5*p**3\/6 - 2*p + 6. Give -6*d(k) - g(k).\nAnswer: -k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 - -20412532?\nAnswer: 20412451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**3 - 30*o**2 + 57*o - 140. Is w(-27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8899 + 0.0209\nAnswer: -8898.9791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 8:01 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32574 and 104.\nAnswer: 1693848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 325302.6 millilitres?\nAnswer: 325.3026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27937400549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 12844.94 to the nearest one hundred.\nAnswer: 12800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-77)\/((-2464)\/9472) - (7 - 0). Solve 135*h - 116 = g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -166112?\nAnswer: -166116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 8:04 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 224 - 3053?\nAnswer: -2526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 0 - 6*y + 0 + 5*y. Let o(a) = -9*a**2. Give o(d(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 5*q**2 - 8*q - 14. Let r be d(7). Let p = -12 + r. Suppose -w - p = -5*z + 2*z, -4*z = 3*w - 4. Solve z*b - 9 = 11 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**5\/60 - 5*k**4\/24 + 5*k**3\/6 - 25*k**2. Let y be (-8)\/1 - (-4 + 2). Determine r(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.26, -4 in ascending order.\nAnswer: -4, 0.26, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 17. Suppose 0 = -0*c + h*c + 3032. Let z = c + 2565. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/11)*(v*v\/v**(5\/2))\/v*v*(v*v*v*v*v**5*v*v)\/(v*v\/(v\/v**(-3\/5))))**2 assuming v is positive.\nAnswer: v**(1091\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**9*i**6)**0*((i\/(i\/i**(-1\/2)))**(-9\/2))**(-3\/7) assuming i is positive.\nAnswer: i**(-27\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -1885*g**3\/3 - g**2\/2 - g + 36. Let b be f(-1). Let q = -1223 - b. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4232*r**2 - 19*r - 437. Let l(q) = 2116*q**2 + 9*q + 215. Let k(b) = 5*l(b) + 2*v(b). Find the second derivative of k(t) wrt t.\nAnswer: 4232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/2772 and ((1065\/98)\/(-5))\/((-1764)\/343).\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30137*l**3*x - 26*x + 427 wrt l?\nAnswer: -90411*l**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61469092 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 5. Let w be p(-7). Suppose -5*l = -91 - w. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 11:49 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24473 divided by -3313.\nAnswer: -24473\/3313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(1008)*-3) + 3.\nAnswer: -sqrt(11)\/36 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 24 = 5*n + 10, -4*n - 3*s = -14. Let x be (-10)\/4*(-4)\/(-5). Let f = -2 - x. Solve 4 = -n*t - f, -t + 18 = 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -149?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/6 + 114361*c**3\/6 - 228728*c**2\/3 + 228730*c\/3.\nAnswer: c*(c - 2)**2*(c + 114365)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-16)*(0 + 0))\/(-1). Factor 0*c + h + 1\/5*c**2.\nAnswer: c**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 12 = i - 7, 6 = -2*i + 3*c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/3 + 7867*j - 47206\/3.\nAnswer: (j - 2)*(j + 23603)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2077 = 1200*i - 5123 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 6.52\nAnswer: 6.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 29323?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15386923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 9:31 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 950860904 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70781539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.06 or -55698?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -10*r**3 - 17*r**2 + 93*r - 87. Suppose -11*y - 12 = -7*y. Let a(x) = 5*x**3 + 8*x**2 - 47*x + 43. Let v(d) = y*b(d) - 7*a(d). Factor v(l).\nAnswer: -5*(l - 2)*(l - 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -365*k**5 + 40383*k**4 - 2*k**3 + 1267161*k**2 wrt k.\nAnswer: -21900*k**2 + 969192*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v. Let a(c) = -1622*c. Give a(s(x)).\nAnswer: -1622*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011100111 (base 2) in base 6?\nAnswer: -3235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**4 + 2 - 148*p + 4*p**3 + 148*p + p**2 + p**2 to the form b + x*p**4 + i*p**3 + z*p**2 + q*p and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -147 + 252. What are the prime factors of s?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*u - 5 + 5 + 2*u + (1980 + 2233 - 1171)*(3 - 3 - 2*u).\nAnswer: -6080*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2246 is divided by 563?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 395081\nAnswer: 790162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442673?\nAnswer: 7, 11, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 13*f - 45. Let n be b(-16). Solve 0 = -3*g + n + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a + 16. Let l be y(7). Let r(k) = -k - 2. Let q be r(l). Solve 5*j - 11 - q = -p, p + j = 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -653?\nAnswer: -653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, t: 3}. What is prob of sequence ptpt?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31025 and 2910400.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 704*w - 54071 - 37345 = -225*w + 50*w for w.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 528. Suppose a = -12*c + 17*c. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 651 + 366*h - 337 + 69*h - 314.\nAnswer: 435*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) - sqrt(104)*1)*-3)\/(6*sqrt(8)*2 - sqrt(8)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 57 - 9 = 0. Calculate the greatest common divisor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 divided by -6825?\nAnswer: -23\/1365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5440 divided by -5?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 + 15 = -5*n. Suppose -21*j = -n*j - 2735. List the prime factors of j.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5554728*g + 2118040.\nAnswer: -5554728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 10*i**2 - 333*i + 44. Does 9 divide j(44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -7*y - 18. Let z be 5 + ((-2)\/(-6) - 416\/y). Is -65 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 59?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.0423?\nAnswer: -0.0846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(175) - (1 + (sqrt(175)*1)**2))*-5.\nAnswer: -3520 + 100*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*w**2 + 11*w**2 + 10*w**2 - 4*w**3)*(-13*w**2 + 106*w**2 + 9*w**2).\nAnswer: -408*w**5 - 204*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 55351060 to the nearest 1000000.\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 71051 = -5*o, 5*v - 3*o + 118413 = -0*v. Let u = -2682 - v. Round u to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7119.192ml to litres.\nAnswer: 7.119192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 173 - -917?\nAnswer: a8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -40, -41, -44, -49, -56?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1428051*w**3 - 13702734?\nAnswer: -4284153*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 392 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*b**3\/8 - 771*b**2\/8 - 130*b - 87\/2.\nAnswer: (b - 87)*(3*b + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 5*i**3\/3 + i**2\/2 - 1. Let w be (1 + 0\/3)*-1. Let f be h(w). Solve -4*y + 3*m = 13 - f, 0 = -4*y - m + 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + 1 + -4 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qg when two letters picked without replacement from qqlgg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 11:45 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 9*y**2 + 9*y - 11. Let l be t(-10). Is ((-1)\/6*-34)\/(l\/(-249)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {h: 1, o: 14}.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((11\/(-6))\/11). Is (-842)\/h - 5\/15 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*16\/(-12) + (-46)\/(-10).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000043181978 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 425 + -365. Let w = s - 76. Sort -5, 3, w.\nAnswer: w, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 57795.\nAnswer: 57795.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*l**3 - 3\/5*l - 1\/5*l**4 - 126\/5 + 31\/5*l**2.\nAnswer: -(l - 7)*(l - 2)*(l + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20822 - 5842 = 1111*v for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, 3, 0 in descending order.\nAnswer: 3, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 4\/3 (c) -4 (d) 4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by 422479.\nAnswer: -49\/422479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -7*f**2 - 12*f + 9*f**2 + 5*f**2 - 7. Let z(i) = 5*i - 4. Let t(j) = 4*h(j) - 11*z(j). Determine t(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128, -101, -48, 43, 184?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221494 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 69*l - 1. Suppose 6 - 1 = 5*y. Let v be u(y). What is the highest common factor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -37*s + 5. Let h be (16 - 2812\/171)\/(2\/(-36)). Let l(w) = -55*w + 8. Determine h*z(o) - 5*l(o).\nAnswer: -21*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 - 58*b**2 - 77*b + 259. Is 17 a factor of l(39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhyhyhhyyyhyhhyyhhy. What is prob of picking 4 y?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 1.8 (c) 2258 (d) -1 (e) 15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 3\/(-2))\/((-10)\/(-520)). Calculate the highest common factor of h and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 9*u**2 + 10*u + 14. Let w be 6\/27 - (-183)\/27. Let p be b(w). What is the remainder when 57 is divided by (-1)\/(1\/p*4\/6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9108 divided by -4.\nAnswer: -2277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1320)\/100)\/(6\/10 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 6*o**2 - 4*o + 7. Give c(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -12*y**3 + 8*y**2 + 8*y - 8. Let k(l) = 9*l**3 - 5*l**2 - 5*l + 4. Let o(n) = -n**3 + 1. Let w(f) = -k(f) - o(f). Determine -5*u(q) + 8*w(q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d**4 + 3924*d**3\/7 + 7062*d**2 + 2812*d\/7 = 0 for d.\nAnswer: -37, -19, -2\/35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*d + 91*d + 4206 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.042 in -1\/2, -2\/5, -37, 1, 6\/11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*(sqrt(200)*-2 + sqrt(200) + -1)*5)**2 + -4.\nAnswer: 2800*sqrt(2) + 20192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 461622107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00458015 to five decimal places.\nAnswer: 0.00458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 1\/2*t**3 + 0 + 1\/8*t**4 + 0*t - 4*t**2 + 1\/15*t**5. Let o(a) = -1 - 2 - a - a**2 + 5 - 3. Give d(l) + 3*o(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 + (2\/(-2))\/(2\/8) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0. Let v(f) = 1. Let a(o) = -o**3 - 4*o**2 + 9*o + 21. Let p be a(-2). Let s(x) = 2*x**3 - 2*x - 5. Determine n*s(i) + p*v(i).\nAnswer: -2*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.9 - -2.9. Let y = r - -10.5. Put 5, y, -11 in increasing order.\nAnswer: -11, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 16 + 8 + -15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 + 51. Which is the fourth smallest value? (a) g (b) 0 (c) -1\/9 (d) 0.33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -4\/717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5187435895.\nAnswer: 5, 109, 1061, 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 364 - 344 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 5. Let x be j(-9). Suppose -5*m + x*l + 49 = 0, -1 + 0 = l. Let d(w) = -w**3 + 8*w**2 + 8*w + 9. Let q be d(m). Solve 0*i + 5*i = q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-8 - 0) - -2. Let c = d + -6. What is the third derivative of -2*o**4 + 0*o**2 + c*o**2 - o**2 wrt o?\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 63 + -5a?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 16*m = 85 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474*b**3 + 992029*b**2 - 992029*b**2.\nAnswer: -474*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 23*m - 46. Let b be w(2). Suppose b = 15*g - 1980 - 2370. List the prime factors of g.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24360 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/8 and -33\/5936.\nAnswer: 5936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 223464806 to the nearest integer?\nAnswer: 14949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 536339933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in 1\/3, -0.1, 31, 1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 274133182777 - 194576305721. Let b = r + -79556876311.99999651. Let y = -744 + b. Round y to 7 decimal places.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b + 3*b - 2*b)*((-11 + 6 + 0)*(5 - 1 - 2) - 2 + 3 + 6 - 4 + 3 + 3 + (2 + 0 - 1)*(-2 + 0 + 4) - 3 + 0 + 1) to the form w*b + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 p, 1 m, and 1 n when four letters picked without replacement from {g: 2, m: 1, n: 1, p: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-1\/4)*s)\/s)\/(s*s**(-1\/2)))**37*(s\/(s*s\/s**5)*s\/((s**(-2\/3)*s)\/s)*s)\/(s**(1\/3)*s\/(s*s**5\/s)) assuming s is positive.\nAnswer: s**(235\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzjzjnzjgjjzjzk. Give prob of picking 1 z and 1 n.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from yyxyyxqyyyyyyy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 2 = 5*d. Let z = -12141 + 12140. Put 0, d, 2, z in decreasing order.\nAnswer: 2, 0, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c - 2*c - 44 = -32*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49230 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -313182522*f**4 + 757096128.\nAnswer: -1252730088*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + h - 1. Let j(r) = 4*r**2 - 3*r + 3. Let u(t) = t**3 - t - 2. Let l be u(0). Suppose 204 - 107 = g + 103. Calculate g*f(c) + l*j(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11448*k**4*r**2 - 2*k**4*r - 7*k*r**2 - 21 wrt k.\nAnswer: -137376*k**2*r**2 - 24*k**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 2 + 1\/12*b**4 + 0*b**3 + 7\/20*b**5 + 4*b + 29\/2*b**2. Differentiate i(f) with respect to f.\nAnswer: 21*f**2 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 - 4*u**4 + 2*u**4 + (-2*u + 3*u**2 + 2*u)*(-5*u**2 + 8*u - 8*u) - 1 - u**4 + 1 + (-u**4 - 2*u**4 + 2*u**4)*(-2 + 2 + 1) - u**4 + u**2 - u**2.\nAnswer: -19*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2743892 by 4.\nAnswer: -685973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 238*b**3 + b - 3*b + 16*b**2 + 12*b**4 - 244*b**3. Let u(c) = c**4 + c**2. Let w(k) = 2*g(k) - 20*u(k). Factor w(q).\nAnswer: 4*q*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(3\/4)*p)*(p**(-2)*p*p)\/p)\/((p**(2\/15)\/p)\/(p*p**(1\/3)\/p)))**(-1\/40) assuming p is positive.\nAnswer: p**(11\/800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102120*b**2*m*p**3 + 11*b**2*m*p + 249*b**2*p**2 - b*m*p**2 + 2*m*p**3 - 26*m*p**2 wrt p.\nAnswer: 612720*b**2*m + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0409202498 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2201112302 (base 4) to base 10\nAnswer: -660914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (sqrt(104) - -1*sqrt(104)) + sqrt(104))\/sqrt(2) - sqrt(52))\/(sqrt(48)\/sqrt(48)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 12*y - 11. Suppose 0 = m + 3*d + 3 + 3, 5*m + 3*d + 18 = 0. Let s be h(m). Let p = 69 - s. Is p a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38944 is divided by 9696.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - x**2 - x + 2. Let y be w(0). Suppose 5*o - 5 = -4*c - 28, y*c = 3*o + 5. Which is smaller: c or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.04 or 844294?\nAnswer: 844294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 10, 2*r + 8*t = 4*t + 26. Let k be (-4)\/r - 8\/12. Let p(s) = 2*s + 1. What is p(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146413.1 less than -0.036?\nAnswer: 146413.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/5)\/((-51)\/11050). Suppose -2*i + 0*g + x = -g, -5*i = -4*g - 647. Let t = 222 - i. Calculate the highest common factor of t and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123036 = -68*d + 129496 for d.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - w - 38 = 2*w, 0 = -5*v + w + 36. Find the first derivative of -3 + 15*f - v + 3 wrt f.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2041817, -4083647, -6125453, -8167223, -10208945, -12250607, -14292197, -16333703?\nAnswer: -18375113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1563 - 5073?\nAnswer: -6616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38720366 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 9. Let f be u(-10). Let v = f - -3. Solve 2*r - 3*g = 6, -3*r - r = -4*g - v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(2))\/sqrt(6)*-5)**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 20478 to the nearest 100.\nAnswer: 20500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = u - j + 3*j, -4*u + 4*j + 16 = 0. Let y(x) = -x. Let p be y(u). Let c(q) = 10002*q + 4. Let v be c(p). Round v to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1741 (b) 70 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1502862 is divided by 1702.\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -160 in -1\/2, -128, 2\/7, 2\/5, -3?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28.8 - -29. Put k, 3, -15, -3 in ascending order.\nAnswer: -15, -3, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -m + s + s, -3*m + s = 14. Let x be 1\/(((-15)\/(-9))\/(-5)). Let i be 18\/22 + (x - -2). Put i, m, -0.1 in descending order.\nAnswer: -0.1, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -0.09, -3, -8, 0.3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162 and 7.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 257*c - 5880. Calculate d(148).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5.40286942 and -7?\nAnswer: 1.59713058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-3)\/(-6) + 90\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 - 2 + 2 + (4 + 0 - 1)*(-47 + 47 + 12*h**2) as c*h + f*h**2 + v and give f.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3438136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 h when three letters picked without replacement from yyyynhyov.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -12. Suppose 0 = 3*b - 2*y + 500996, 0 = 5*b + d*y + 1032434 - 197428. What is b rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (228\/(-780)*5)\/((-8)\/416*8).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326 - 13*z**2 + 326.\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/(2\/4). Let a = 5 + -2. Let l = a - v. Calculate the remainder when 11 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 4, -5, -3 in descending order.\nAnswer: 37, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/5)\/((-6)\/20). Let m = a - -4. Let i be (144\/1392)\/((-12)\/(-232)). Solve -2*h + m = -i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27933773956*w**2 - 17381936*w - 2704.\nAnswer: -4*(83567*w + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22225039 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 254631968339773\/18642 - 13659047756. Let v = -2\/9321 + s. What is the common denominator of -63\/2 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**4\/2 - 10299*d**3 + 413301*d**2\/2 + 485364*d - 681714 = 0. Calculate d.\nAnswer: -6886, -3, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 + 36*l + 43. Calculate i(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 126*f + 13487. Calculate q(-107).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4, -23, -54, -97, -152, -219?\n\"Answer: -6*z**2 - z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 13*d - 1. Calculate z(-15).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -8*w**2 - 8*w - 8. Let z(y) = -65*y**2 - 65*y - 65. Let j(i) = -25*g(i) + 3*z(i). Let t(c) = -3*c**2 - 2*c - 2. What is 2*j(k) + 5*t(k)?\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 0.02, -1, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*12\/(-4704) + ((-9690)\/5292)\/19.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891 greater than 1890?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -152 + 162?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -186 - -1117\/6. Let m be (-1)\/3*(7 - 16). What is the nearest to 0.1 in m, -1\/2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 11641636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 239.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220301, -881187, -1982647, -3524669, -5507241, -7930351, -10793987?\nAnswer: -14098137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 1112*z - 69 - 197*z + 402*z.\nAnswer: 1317*z - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 5*l - 21. Let u be c(-3). Solve -3*m = 5*q - 15, -5*q + 4*q + u = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.93 + -10.33. Let g = 0.6 + -0.1. What is the second smallest value in g, 2\/9, m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**7\/b)\/b**0)**(-1\/23)*(b\/(b\/(b\/b**(-2\/5)))*b)**(-2\/9)\/(((b**(1\/2)*b)\/b)\/b)**(-6) assuming b is positive.\nAnswer: b**(-1309\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62161749 is divided by 339?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -56a4100?\nAnswer: -56a40ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -713, -638, -551, -446, -317, -158?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3804*v + 1881*v + 28782 = -2456*v for v.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 24) + -3 + 6\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 - 2*a**4 + 3*a**2 + (2*a - 2*a + 3*a**2)*(11 - 11 + 75*a**2) + (a**2 - 2*a**2 + 2*a**2)*(-2*a**2 - 2*a**2 + 6*a**2).\nAnswer: 225*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 86*(-1)\/6 + 1\/3. Find the common denominator of n\/(-105)*5*25\/(-7) and -21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0.3. Let i(w) = -w**2 - w + 2. Let h be i(0). Let p be 1\/(-3) - h\/3. Which is the smallest value? (a) 5 (b) j (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -2, -10 in decreasing order.\nAnswer: -2, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3161329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 5*z + 13 = z, 3*z = -3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from jkzrkjvx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-7)*(3802 - 3900). Let g(p) = -88*p - 4. Let s be g(-3). Calculate the highest common factor of k and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, -2\/143, -1635, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - ((1482 - 1509) + (-1 - 24))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*b + 33296 + 58648 = 1531*b - 23316 for b.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3210111 (base 4) to base 13\nAnswer: -6861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 3:32 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -3*w - 24. Which is smaller: w or 11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 7 - 10. Let c(m) = -m**3 - m**2 + m - 1. Let j(a) = -2*a**3 - 4*a**2 + 2*a - 4. Give x*j(n) - 4*c(n).\nAnswer: 2*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**4\/24 - 2*v**3\/9 + 167. Solve s(u) = 0 for u.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = -11*h + 23*h. Solve -c + 5*c + 20 = h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3509.4 to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6*v + 4*w = 214, -5*w - 365 = 3*v. Let l = 519 + v. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 745, 1034, 1311, 1570, 1805, 2010, 2179?\nAnswer: 2306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 17, 1, 5, 13 in descending order.\nAnswer: 17, 13, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 2.2 (c) -15 (d) -1751 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5546 is divided by 5513?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2608, 0, -2, 16, 6.\nAnswer: -2608, -2, 0, 5, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**14*s)\/s)\/s*s)**(1\/45)\/(s\/s**(21\/4)*(s*s\/s**19)\/s) assuming s is positive.\nAnswer: s**(3953\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -155*n**2 + 49*n + 3. Let t(h) = -620*h**2 + 175*h + 11. Give -3*t(g) + 11*z(g).\nAnswer: 155*g**2 + 14*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d. Let v be h(-1). Suppose -15 = -3*t - v. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 4*h - h)*(-3 + 3 + h**3) - 124*h**4 - 57*h**4 + 76*h**4 + 3*h**4 - 9*h**4 + 2*h**2 + 2*h**2 to p*h**4 + b*h**2 + c*h**3 + x + k*h and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5 + 8\/15*o**2 + 26\/15*o.\nAnswer: 2*(o + 3)*(4*o + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.47 + 1.2. Let y = j + 0.57. Let s = 238\/5 - 48. What is the second biggest value in s, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5099552921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 10:11 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 88311 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: In base 10, what is -493 + 241?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -12*p**2 + p - 9. Suppose y + 13 = -5*o, 7*y - 4 = 8*y + 2*o. Let k(i) = -3*i**2 - 2. What is y*b(j) - 9*k(j)?\nAnswer: 3*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -a + 2003399, -3*a - 62*p = -58*p - 6010237. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4333 + -2126. Let c = 2206.9101 - g. What is c rounded to three dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5677965353?\nAnswer: 71, 113, 707711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + ((-5 + 5*(6*(sqrt(1100) + sqrt(1100)*1) + sqrt(1100) + sqrt(1100) + 0 + 4))*-6)**2).\nAnswer: -970240520 - 3780000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*f + 6 = -74*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -221*m - 2285. Does 9 divide s(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1690 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/9)*q*q**(-1)*q)\/(q**(1\/15)\/(q**(1\/6)\/q)))**(-3\/5) assuming q is positive.\nAnswer: q**(1\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100656?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 29*w + 7. Determine a(28).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + 2*r + 0*r)*(1022*r - 7011116 + 7011116) in the form j*r**2 + t*r + w and give j.\nAnswer: 1022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(1\/(-7)*-2). Suppose 2*g + h - 6*h - 1 = 0, 0 = 4*h + 4. Let u be (-6)\/(-1) - g\/1. What is the highest common divisor of u and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**4 + g**3\/3 + 7*g**2\/2 + 5*g + 1. Let u(d) = 2*d**3 + 3*d + 2. Let s be (-6)\/8 + 136\/(-32). Determine s*u(f) + 2*v(f).\nAnswer: -2*f**3 + 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -20, -5, 4 in increasing order.\nAnswer: -20, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*f - 629 = 2851 + 5584 for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 11*c + 13. Let h be v(10). Put -5, 1, h in decreasing order.\nAnswer: h, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drrrtrhrd. Give prob of sequence tdrt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1711, -3420, -5129?\n\"Answer: -1709*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6755 + 6755 - 1498592*y + 1498581*y.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173423 is divided by 2313.\nAnswer: 2261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -18070541*a**2 - 6*a. Let u(j) = -2*j. What is u(x(o))?\nAnswer: 36141082*o**2 + 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 24*a**2 - 74*a + 310. Determine n(6).\nAnswer: 730","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*l**2 + 157*l**2 + 270*l**2)*(0 - 3 + 2)*(3*l + l - 5*l).\nAnswer: 416*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1482279 is divided by 317?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47.9 - 4.1. Let f = q + 57. What is the closest to 0.1 in 2\/9, 1, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 909 + -900. What is the least common multiple of 345 and i?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 2*o + 8, -u - o - 12 = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 - -2.49840897.\nAnswer: 3.09840897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/126*4*(-81)\/(-27)*6\/8?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20764421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = r + 19*r. Let o(q) = 59 - 59 + q. Let d(h) = -2*h**3 + 2*h. Determine r*o(f) + d(f).\nAnswer: -2*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/27 or 12\/3473717?\nAnswer: 12\/3473717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**4\/7 + 455868614*i**3\/7 + 34636032357003036*i**2\/7 + 125313336598463851704120*i + 877193321553215060794416\/7 = 0.\nAnswer: -75978102, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -598424869 - -29920275897\/50. Let s = 19352 + w. What is the common denominator of s and 58\/5?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3068 and 55224.\nAnswer: 55224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 5*n + 310, -4*r + 2*n - 139 = 497. Let s = -76 - r. Calculate the greatest common divisor of s and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jttt when four letters picked without replacement from {j: 2, t: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*y + 3422 = -71*y for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -26*v - 5. Let r(f) = -269*f**2. Calculate r(q(g)).\nAnswer: -181844*g**2 - 69940*g - 6725","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114154\/663 - -2248\/13. Let r = 24296 - 1530610\/63. What is the common denominator of u and r?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1582684913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -29. Let c(o) = o - 11. Calculate c(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 8*g - 11. Let r be s(5). Solve -2 + r = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3669986153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23.94 - 0.94. Let p = -22.799 + m. Round p to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7178\/3 - 42\/(-126). Suppose -20*j - 593 + c = 0. What is the remainder when 351 is divided by j?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -1\/120*d**6 + 0*d**3 + 0*d - 26*d**2 + 0 + 1\/20*d**5 - 1\/12*d**4. Factor p(z).\nAnswer: -z*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = -a, 50*r - 46*r + 2*a - 4*a = 222 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**2 - 5*h - 5. Suppose -5*w = 4*a - 41, -4*a + 4 = -3*a. Let g(i) = 2*i - 2*i**2 + 0 + 2 + 0. Give w*g(n) + 2*t(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-231)\/2)\/(33208\/28464)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19753, -19751, -19749, -19747?\nAnswer: -19745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 8760384*r + 4796520489216.\nAnswer: 4*(r + 1095048)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**2*t - 3*f**2 + 6*f*t**3 - 15334834*f*t - 206637067*f wrt t?\nAnswer: -f**2 + 18*f*t**2 - 15334834*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85213418 by 17.\nAnswer: -5012554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.09 * 0.3.\nAnswer: -0.927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 1.81\nAnswer: 0.1086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**3 + 2*r**3 + r**3 + r**3 + 0*r**3 - 2*r**3 + (0*r - r + 0*r)*(-2*r**2 - r**2 + 9*r**2) to the form j + d*r**3 + f*r + m*r**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1779276 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*b - 3*b. Suppose b*k = 5*k + 1688. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -325022, -650047, -975072, -1300097, -1625122, -1950147?\nAnswer: -2275172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -743633, -1487201, -2230769, -2974337, -3717905?\nAnswer: -4461473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301733?\nAnswer: 17, 17749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 8) in base 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -354*m**5 - 218*m**2?\nAnswer: -21240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -22*j - 447. Let h be i(-20). Put 6, 2, -3, h in descending order.\nAnswer: 6, 2, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6303 + 6272 - 10*r**4 - r + 4*r**4 wrt r?\nAnswer: -24*r**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 113*p = 147*p - 73, -4*t + 3*p = 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -43. Let m(s) be the second derivative of -s**3\/6 - 5*s**2\/2 - 2*s + 30. What is m(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 84 = 8*f. Let x(a) = -23*a - 10. Let z be x(f). Calculate the greatest common divisor of 16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 259, -4, -1, 5, -3 in ascending order.\nAnswer: -4, -3, -1, 5, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {b: 3, r: 3, j: 1, e: 1, g: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, b: 1, s: 4}. What is prob of sequence sisb?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -31*p**2 - 249*p + 23. What is j(-8)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 240 - 232. Calculate the lowest common multiple of p and 76.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/195 + 128\/195. Let x = 6 + -2. Let y = -4 + x. What is the closest to 1 in 5, h, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 17 - 3*w - 91*w**2 + 3*w + 93*w**2 - w. Let p be h(0). Let s = p + 15. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-13))**(-1\/14) assuming m is positive.\nAnswer: m**(13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q - 6. Let d(b) = -b**2 + 12*b + 5. Let g be d(8). Suppose 3*c = 4*s + g, 5*s - 51 = -5*c + s. What is the remainder when k(6) is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - p - 1. Let b be l(-1). Suppose -4*o = -2*r - 68, 2*r - 4 = -0*r. Let v = -9 + o. What is the greatest common factor of v and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -6) + 7 + -10 + (-5 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/43866 and 16\/548325.\nAnswer: 1096650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2. Let h(y) = 30*y**2 - 21*y + 21. Let x(c) = 7*c - 2 + 0*c**2 - 5*c - 3*c**2. Let w(j) = -6*h(j) - 63*x(j). Calculate w(d(q)).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*l**2 + 8*l**2 + 0*l**2)*(-l**2 - 4*l**2 - 4*l**2) + 4 - l**4 - 4 in the form s*l**3 + t*l**4 + f*l + d + w*l**2 and give t.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11732 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.06 (b) 1\/3 (c) 1 (d) -1\/6 (e) -4\/11 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**5\/20 + 5*n**4\/24 + 2*n**3\/3 + 8. Let p(j) be the third derivative of k(j). What is the first derivative of p(z) wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - v - 4 + (0*v + 4*v - 6*v)*(1 + 4 - 4) - 4562 + 4561 - 27*v - 100*v + 5*v + 0*v + 0*v.\nAnswer: -125*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 114\/20*(-13762)\/(-12). Let k = 6535 - y. Find the common denominator of 19\/10 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + -13. Let v = f - -24. Let n = -35 + 32. What is the second biggest value in v, n, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5204*x + 6871*x - 5222*x.\nAnswer: -3555*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58 by 5723.\nAnswer: 58\/5723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 439 divide 103427522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 38382?\nAnswer: -1\/12794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 869941 and 21024?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*b + 13 = -25, -5*b = 4*k - 121. Let c = 19 - k. Let x be 8247\/c - 9\/15. What is x rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*n + 333*n + 24616 = 587*n for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 58.24, 5\/4, -4\/17?\nAnswer: 58.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -886609 at most -886615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in 5, -10, 0, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 165 + 119. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432.763166 rounded to the nearest 10?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1021348, -1021349, -1021350?\n\"Answer: -n - 1021347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -1. Let z = 7 + -4. Let u = z + t. What is the second biggest value in 4, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 10*l**2 - 5*l - 13. Let g(x) = 10*x**3 - 2*x**2 + 1. Let i be g(1). Let y be h(i). Suppose -4*n + y = -17. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -96, 126, 364, 618, 888, 1174, 1476?\n\"Answer: 8*y**2 + 198*y - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9039219 is divided by 1291317.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*v + 49 = -2, 2*r - 32 = v. Let d be ((1485\/(-22))\/r)\/(1\/(-2)). Solve 32*y = 29*y + d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -579 + 575. Put 3\/4, a, -33 in increasing order.\nAnswer: -33, a, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from {t: 2, m: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*c - 60 - 20 = 0, -2*k = -5*c - 65. Suppose -5*w + k = 2*j, 3*j = 5*w + j. Solve -2*b - 4 = w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 18*v + 1088400 = 0. Round v to the nearest 1000.\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -32*d**3 + 15298*d**2 - 955*d - 515. What is b(478)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, -1\/3, 0.7, -1, 2.3 in ascending order.\nAnswer: -1, -1\/3, 2\/19, 0.7, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 7. Let l(c) = c**2 + 4*c - 1. Let r be l(-5). Suppose -y*b + 7*b - 5 = 0, -b - 7 = -r*h. Solve -2*u = -h*w, 5*u - 22 = w - 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0009 smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172 and 907995568.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 minus -644146801.31?\nAnswer: 644146803.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 36*v + 1194*v**2 - 1194*v**2 - 10*v**4 + 34*v**3 - 59*v**3 - v**5 = 0.\nAnswer: -6, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 10*b + 6. Let p(y) be the second derivative of -11*y**3\/6 - 7*y**2\/2 - 66*y + 1. Suppose 0 = 4*c + c - 35. Determine c*h(f) + 6*p(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 19634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 r when two letters picked without replacement from {u: 6, h: 2, s: 9, r: 1}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**0\/c*c)**14*(c\/(c\/(c*c*c*c**5)))\/c*c*c**(1\/6)*c)\/(((c*c*c\/(c*c\/(c\/(c\/c**(-2\/11))*c)))\/c)\/(c\/((c*c**0*c*c*c)\/c)))**17 assuming c is positive.\nAnswer: c**(-1633\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7322 + -7299. Suppose -v = 3*m + 5, 4 = -2*v - 6. Solve m = -3*o + k - 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 754408.\nAnswer: 1\/188602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-711)\/948)\/((-1)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10957, -4, -3, 0, 3, -5, 2.\nAnswer: -5, -4, -3, 0, 2, 3, 10957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -9) + -4 + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3311, 3317, 3327, 3341, 3359?\n\"Answer: 2*r**2 + 3309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-23)\/((-1173)\/(-2652)))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + 4*x**2 - 3*x**2 + (2 - 2 - x)*(-1 - 2*x + 1) + (3*x + 0*x - x)*(0 + 0 - x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*f = -8. Suppose -6*j + 20 = -2*j. Suppose k = -j*h + 16 + 6, 3*k = -5*h + 26. Solve -h*o - q - f = 0, q + 6 = -3*o - 0*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*u - 8 - 8, u + 5*w = -18. Let k(z) = -z**2 - 9*z + u + 2*z**2 - 1 + 8*z. Let l be k(3). What is the highest common factor of l and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 2, 0.4, 1.222 in decreasing order.\nAnswer: 2, 1.222, 0.4, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o. Let w(p) = -2*p**2 + 8*p. Let i(l) = 8*m(l) - w(l). Let z(y) = -24*y. Give i(z(s)).\nAnswer: 1152*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -2. Suppose -5*n = -2 - 3. Let f be n\/((-5)\/2 - 1). Which is bigger: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -0.22, 0.1, 3 in decreasing order.\nAnswer: 3, 3\/5, 0.1, -0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2914904\/(-14160))\/19 + 8. Let n = u - -122\/59. Find the common denominator of n and 31\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1836*y**2 - 5342*y**2 + 1762*y**2 + 1746*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - r - 11 = 0, 4*d + 16 = 4*r - 36. Suppose 0 = -2*s + 5*l + 27, -4*s + 42 = -23*l + 25*l. Let g = d + s. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*p**3 - 2*p - 2*p + 90*p**3 + 6*p.\nAnswer: 213*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i**2 + 73477*i + 686624.\nAnswer: 6*i + 73477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 26078480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 56*s**3 - 186*s - 185*s + 375*s + (s + 0*s - 2*s)*(-s**2 - 3*s**2 + 2*s**2).\nAnswer: 58*s**3 + 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3, -2, 5\/7, 5.\nAnswer: -2, 0.3, 5\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (13 - -1 - (50 - 16))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007075 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 128, 232, 278, 236, 76, -232, -718?\n\"Answer: -5*o**3 + o**2 + 136*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 48. Let r be w(28). Calculate the greatest common factor of 114 and r.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 13) in base 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5 = 3*t, 0 = -2*t - a + 6*a + 35. Let s(n) = n**3 - 4*n**2 + 5*n - 3. Let w be s(3). Solve -3*i + 24 = t*m, 5*i - w*m - 30 = -8*m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, -5, -27, 48, -1 in decreasing order.\nAnswer: 61, 48, -1, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.4 in -0.7, 3, -4, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 6:11 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/60*-10*-4*(-5)\/(-20).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 97 = 3*w. Let o = -63 + w. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-3 + (-1 - 3))) + -13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 144, -4, 8.\nAnswer: -4, 0, 3, 8, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -464, 4\/5, 1.8, 239 in descending order.\nAnswer: 239, 1.8, 4\/5, -464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbbsmmsbth. Give prob of sequence ms.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34273916?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -281*i + 1098. Give o(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from {l: 1, d: 3, i: 2, k: 5, m: 2, g: 6}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37329, -74675, -112021?\nAnswer: -149367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q. Let d(h) = 924*h**2. Calculate d(c(z)).\nAnswer: 924*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20 - 10)*(-96)\/(-10). Suppose 0 = -3*i + 4*z + 134, -2*z - g = -2*i - z. Suppose n - i = -2*m, -5*m + m = 3*n - 160. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*y + 4*j, -5 = -j - 0. Let u(r) be the second derivative of -1\/6*r**4 + y*r + 2\/3*r**3 - r**2 + 0. Factor u(g).\nAnswer: -2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 6013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*b + 423 - 7*b + 13*b + 14*b - 427 - 9*b**2 to the form d*b**2 + g*b + h and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 43, 66, 89, 106, 111, 98, 61?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -99639 from -0.006.\nAnswer: 99638.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 10*h**4 + 12*h**3 - 6*h**2 + 2*h + 2. Let q(z) = 11*z**4 + 12*z**3 - 5*z**2 + 3*z + 3. Let a(n) = 3*p(n) - 2*q(n). Factor a(d).\nAnswer: 4*d**2*(d + 2)*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6*r - 5*b - 1196 = 0, 4*r - b = -1587. Let d = -781 - r. What is the units digit of (-2)\/(-11) + d\/(-66)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4958449568\/15335 + 323342. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o**5 - 62566*o**4 + 122226536*o**3 + 397834728*o**2 + 122617728*o - 367289856 = 0 for o.\nAnswer: -2, 3\/4, 3912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15613530 and 5790.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14675752?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 - -9. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 11*w - 22. Let h be u(2). Factor -1\/4*a**4 + 1\/2*a**3 + 0*a + h - 1\/4*a**2.\nAnswer: -a**2*(a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.715188 grams in micrograms?\nAnswer: 5715188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/615776 and 91\/14944.\nAnswer: 287567392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13 + 44*a - 23*a + 4 - 23*a - 53*a**2 wrt a?\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*v + 0*v**2 - 238*v - 4*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0 = 4. Suppose -p + 4 - m = 0. Calculate the highest common divisor of 33 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -126*a**2 + a**3 - 1 + 42*a**2 + 6 - 3 - 2*a + 13*a**2 to the form i*a + b*a**2 + d + n*a**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 3, d: 1, n: 1, l: 5}. What is prob of picking 1 l and 1 n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6458, -14371, -23754, -34607, -46930, -60723?\nAnswer: -75986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*t + 1 = 226. Suppose t*a - 2*f = a + 2, 5*f + 20 = -5*a. Let w(h) = -14*h**2 - 2*h - 1. Determine w(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5277071 and 5255.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-35) - (-3)\/(-21). Suppose -q + 9 = -3*r, q + 4*r = 2*q - 12. Suppose v*h + h = q. Solve m + 6 = -m, -3*n + m + 18 = h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5503.\nAnswer: 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-21) + 5\/6. Let k(n) = 27*n**2 + 1756*n + 6. Let c be k(-65). What is the closest to q in c, -1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4 = 0, 0 = 4*v - 0*v - 3*q + 58. Is 2 + 1 - (-38 + v) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q - 1. Let z be 1*12*(-3 - (-14)\/4). Let d be t(z). What is the second derivative of 27*k**5 + 3*k - 2*k - d*k**5 wrt k?\nAnswer: 320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and -0.7356387.\nAnswer: 0.088276644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -6) + -18 + 35?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eoeo when four letters picked without replacement from ekeekkeooekoeeetkoee?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 64159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + g**3 + 3 + 3 - 5 + 0 + 474*g + 14*g**2.\nAnswer: g**3 + 14*g**2 + 474*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/1)\/(2\/6). Let u = 5 + l. What is the remainder when (92\/8)\/((-2)\/(-4)) is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 4*w**2 + 9*w - 81. What is the least common multiple of 144 and j(6)?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33398050?\nAnswer: 2, 5, 7, 37, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2104 to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1865363 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.1 + 8.3. Which is the closest to -5? (a) y (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1295464128392 and 7.8?\nAnswer: 1295464128384.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.006 * 21.\nAnswer: 0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 22*x + 75. Let f(z) = -3*z - 10. Let m(r) = -2*a(r) - 15*f(r). Let u(b) = 133*b + 16. Calculate u(m(q)).\nAnswer: 133*q + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 10*s**2 - 322*s + 2972. What is n(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38384.\nAnswer: 2, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 5*x - 12, x = -0 + 2. Calculate the common denominator of 5\/11 and -2 - r - 378\/12.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 370*r + 5*r**2 - 2*r**2 - r**2 + 3700*r as g*r**2 + h + m*r and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 + 2*u + 1. Let k be (2\/3)\/(7\/(-21)). Let c be l(k). Solve 4*z - c*s - 17 = 0, -z - 2*s = -3*z + 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/105*1\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1103 = -6*h + 3*h, 5*h = -5. What are the prime factors of a?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -962401, -1924802, -2887205, -3849610, -4812017?\nAnswer: -5774426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 + 159. Calculate the greatest common divisor of j and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -885754673*b**3*s - 819*b**2*s + 266*b**2 + 7*b*s - 3*s wrt b.\nAnswer: -5314528038*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23452 is divided by 38.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, 26, 191104?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25296 is divided by 174?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5044057906 + -5044057921.000000428. Let i = -18.8 + 3.8. Let u = c - i. What is u rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 0. Let m be (42\/36)\/z*1*14. Is m greater than 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 - 18. Let c = 84 - j. Let f be (-3)\/(-5) - (-7)\/c. What is the third smallest value in 2\/9, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**3 - 13*p**2\/2 + 4*p. Let y be h(3). What is the third biggest value in 7, -3, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 9*d. Let z(o) = -2*o + 2*o - 2*o. Give z(t(r)).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 10:37 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/32*((7 - -6) + -17)*-10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a second in milliseconds?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 48 = -36. What is the third derivative of 81*k**2 - 47*k**2 + 46*k**2 + 120*k**j wrt k?\nAnswer: 720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.2 + 7.2. Let c(j) = -j**2 - 14*j - 9. Let y be c(-13). Suppose 16 - y = 3*i. Sort x, i, -5 in descending order.\nAnswer: i, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, -4, -11, 5, 2, 4 in decreasing order.\nAnswer: 11, 5, 4, 2, 0, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540383.\nAnswer: 540383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 2636*y**3 + 2*y**2 - 41 - 2634*y**3 + 2*y in the form h + u*y**2 + d*y**3 + v*y and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 106*z**2 + 7*z + 3. Is v(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-14)\/(-4))\/(138\/(-144) - -1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 635.8766286 - -0.0053714. Let f = -635 + o. Round f to 2 dps.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 + 2 - 9*x**5 - 35562*x**4 - x**3 + 35562*x**4 + (-2*x**3 + 4*x**3 - x**3)*(x**2 + x - x).\nAnswer: -8*x**5 - x**3 + 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 337658002*w**5 + 89*w**2 - 25*w - 783 wrt w.\nAnswer: 20259480120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 + 171 + 4*w**3 + 169 - 340.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 884.0793um?\nAnswer: 884079.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/((-13)\/(-52)). Suppose -2*i - 3839988 = -4*f + i, -k*f + 3*i + 1919988 = 0. What is f rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5200 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1845910 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 11*j**2 - 14*j - 18. Calculate the remainder when i(-10) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3\/3 + 124*c**2 - 2944*c + 8464\/3.\nAnswer: -4*(c - 46)**2*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004057 rounded to six dps?\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 7*x + 6. Let l be 1*8 + 5 + -9. Suppose l*r + 5*d - 17 - 21 = 0, d = r - 5. Calculate z(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-115)\/(-23))\/(-1 + (-24)\/(-9)). What is the third derivative of -105*x**2 + 3*x**4 - 3*x**f + 6*x**3 + 5*x**3 - 2*x**3 wrt x?\nAnswer: 72*x + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31785, -63575, -95369, -127167, -158969, -190775?\n\"Answer: -2*i**2 - 31784*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5542903, 5542900, 5542897, 5542894?\n\"Answer: -3*z + 5542906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9751536.5 times 0.5\nAnswer: -4875768.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6*p. Let i = 38 - 22. Let l(n) = -14*n**2 + n + i*n**2 - n. Determine d(l(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -760.780265 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -20300336 to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 24574344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 10 = 3*t + 1, -4*m + 3*t - 3 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = n. Suppose n = -4*d - 20, -u = -0*u + 4*d + 19. Is -1\/4 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 54 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(288) - (3 + sqrt(2) + 1))*3)**2.\nAnswer: 936*sqrt(2) + 3186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xiajaipxxac. Give prob of picking 1 a and 1 c.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -364, -389, -432, -493?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(6*sqrt(76)*-1 - sqrt(76))*-2)\/(5*sqrt(576)*-1*3).\nAnswer: -7*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.17?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5345 (b) 21 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from cccccccjjccccccccc?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -11*f**2\/2 + 18*f - 47. What are the prime factors of g(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r**2 - 1251*r - 9676. Let l be z(-8). Let j(d) = -d**2 + d - 1. Let m(b) = 5*b**2 - 16*b - 6. Let g(k) = 4*j(k) + m(k). Calculate g(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 19*q**2 + 40*q - 5. Determine g(15).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -63, 5, 3, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -30382382?\nAnswer: -30382376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1904, 1865, 1814, 1757, 1700, 1649?\n\"Answer: i**3 - 12*i**2 - 10*i + 1925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 3. Suppose -3*w = 2*p + 3*p - 28, 4*p + 2*w - 22 = 0. Let i be k(p). Let q = 69\/4 - 17. Which is the nearest to q? (a) i (b) 0.5 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*d + 297, 2*z - 53 = d + 35. Suppose t + 2*l + 5 = 0, l + 77 = -5*t + 7. Does 7 divide (0 - d) + t + 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**4 + 3*j**2 - 3*j**2 - 2*j**2 - 1 + 3*j - 2*j to h*j**4 + m*j + d*j**2 + g + w*j**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b**5 + 2*b**4 - 9*b**2 - 2*b wrt b.\nAnswer: -300*b**2 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -48?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*((-4)\/(-5))\/(4\/(-10)). Suppose 3*a + 2*w = 963, 3*w + 643 = 2*a + v*w. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -350 less than -350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 508 - 508.1. Let s be (-1)\/(5\/3) - 0. Which is the smallest value? (a) s (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2897\/22 - 131. Let k = 2\/11 - p. Which is smaller: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = 28*t + 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 26, 6 in decreasing order.\nAnswer: 26, 6, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (2 - 4) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 585 and 195858?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-3 - 0 - -4). Suppose 11 = -4*c - n. Sort c, 4, 1 in ascending order.\nAnswer: c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 90\/11 (b) -1\/4 (c) 3 (d) -31 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 424014 + -424013.75. Let w = -0.7 - 0.3. Let p = w + 1. Are l and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6785215l in millilitres?\nAnswer: 678.5215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tppatatppaaaptp. Give prob of sequence appa.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 8*c - 13. Calculate u(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -27.2, -2\/7, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -24*(-27)\/7452 - 21400\/8050\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**3 - 32*n**2 + 4*n - 8. What is the remainder when 207 is divided by m(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p + 7. Let g = 3 - 4. Let l = g - 5. Let s(q) = q + 1. Let f(i) = -2*i - 21. Let x(y) = -f(y) - 6*s(y). Give l*x(b) + 13*k(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -4 (c) 1 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - 2\/(-2) - -2. Solve y = 13*v - 0*v - 52 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1981, -18298, -64457, -155974, -308365, -537146, -857833?\n\"Answer: -2586*w**3 + 595*w**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -2. Suppose 22 = -5*a + 3*o, -y*o + 14 + 14 = -4*a. What is the units digit of (0 - 74)*a\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqw when three letters picked without replacement from qlllqwh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -34*u - 219. Let m be s(-7). Suppose -m*v + 161 + 409 = 0. What is the least common multiple of (-1)\/4 + 41\/4 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 7*n + 2. Let f(m) = m + 7. Let d be f(0). Let v = -2 + d. What is the tens digit of w(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2, 0.207, 0.1, 0.5, -7, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 41*v**2 - 1. Let i be q(1). Suppose 4*y - i = -3*s, -4*s + 4*y - 11 = -83. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/5809 and 59\/4?\nAnswer: 23236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/(b*b\/(b**(-11)\/b*b)))*b*b)\/(b\/b**26))\/(b**2*b\/b**(-18)*b*b) assuming b is positive.\nAnswer: b**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3919, 7974, 12209, 16636, 21267, 26114, 31189, 36504?\nAnswer: 42071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 231*j - 88. Let i(w) = 8*w - 3. Give -88*i(r) + 3*y(r).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from bdbbbbsimubmmmmmii.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92549 and 42830703?\nAnswer: 4871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 + 71. Suppose -a*h - 90600 = -6*h. Round h to the nearest 1000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -95) + (-8 - (0 - 0 - (13 - 12))).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 3)*(2 - l - 2)*(-2 - 4 + 7)*(3*l**2 + l**3 - 3*l**2) to k*l**3 + r*l + s*l**2 + i + q*l**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2488849, 2488853, 2488857, 2488861?\n\"Answer: 4*k + 2488845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19483 + -13193. Is 34 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37907220 is divided by 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6474)\/(-21) + 6\/(-21)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 0*z**5 + 0*z**4 + 0 - 29\/6*z**3 - 8*z - 23\/30*z**6 + 0*z**2. Find the second derivative of l(j) wrt j.\nAnswer: -276*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4810*o = -4803*o + 161 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-6)\/66 + (-79)\/(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 3\/8, 1551482, -2\/19?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4456 divided by 2.\nAnswer: 2228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 2*r. Let z be 3\/(-2)*(-2 - 10\/(-15)). Factor r*q**3 + 42*q**z - 26*q - 18*q**3 + 16*q - 22*q + 8.\nAnswer: -2*(q - 1)*(3*q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 484.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10327*o + 55*o**2 + 10327*o + 421 - 421.\nAnswer: 55*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -1543 + 1557 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5255 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -295 + 297. Suppose -z*d = 4*n - 716 - 8872, -19212 = -4*d + 4*n. What is d rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 15) in base 8?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.862.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrhbb. What is prob of picking 1 b and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-6 + 3))\/2. Let c(o) = -2*o - 4. Let u(h) = -h**2 + 1. Calculate i*u(k) - c(k).\nAnswer: 2*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -273 - -268. Which is the closest to -34? (a) 4 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20638126 is divided by 52.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*t + 10*t + 7)*(0*t + 1 + 5*t - 3*t).\nAnswer: 12*t**2 + 22*t + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 194660?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/152)\/(99\/(-176)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14723.0856 rounded to one decimal place?\nAnswer: -14723.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35? (a) 19\/4 (b) 112.2 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b**3 + 8*b**3 - 13*b**3.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -197*s**2 - 3*s**3 + 150*s**4 - 151*s**4 + 220*s**2 + 0*s + s as a + b*s**4 + i*s**3 + p*s + n*s**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 6\/685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1680 = 71*z + 149*z - 300*z for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5009 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -486256586550205 - 0.5\nAnswer: -486256586550205.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11144466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95 + 263. What is the least common multiple of 12 and x?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 10*i + 8. Calculate s(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2562*w - 25299 = 20817 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + f = -8 - 0, -3*z = f + 2. What is the first derivative of -z - 38*c + 33*c - 8 + 22*c wrt c?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1237 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 42 = -2*p, -3*f + 0*f + 77 = 4*p. Suppose -5 = -5*y + 3*a, -3*y - 3*a + 4 = -f. Suppose 9*z = y*z - 300. What is z rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 982*p**3 - 2924*p**3 + 975*p**3 + 973*p**3.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*t + 25. Solve 0*m - 2*x = -t*m - 29, 2*m = -3*x - 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = -10*a - 4*u + 16, 3*a - 4*u = -19 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 1. Let c(l) = -4*l - 5. Let g(k) = 2*c(k) - 11*m(k). Does 16 divide g(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.9867cm to kilometers.\nAnswer: 0.000769867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 75.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**5 - 12575*r**4 + 100315*r**3 - 87745*r**2 = 0. What is r?\nAnswer: 0, 1, 7, 2507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 152104743 times -2\nAnswer: -304209486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 64 = 20*v, -4*v - 161006*q - 14 = -161007*q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 take away 156?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355 - 33 = -25*b + 12 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**5 + 34146271*a**3 - 238*a**2 + 5*a + 72586 wrt a.\nAnswer: -60*a**2 + 204877626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.98 - 0.02. Let o be -2 + (12\/(-21))\/((-24)\/84). Which is greater: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000470507 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 75 + 5. Let l(y) = 3*y. Let m be l(1). Solve m*v - 5*z - k = 0, -2*z = 5*v + 3*z + 40 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 7:08 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -4.7396 (c) 9\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20657 is divided by 135.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 24. Let f = -0.02 - 0.38. What is the nearest to 1 in 4, b, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 6*p - 38. Let w be l(-10). Suppose -5*o - 283 = -w*r, -5*r + 742 = 16*o - 17*o. What is the remainder when r is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3824, -3773, -3636, -3371, -2936?\nAnswer: -2289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2012200102111 (base 3) to base 11.\nAnswer: -732656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316 divided by 329?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 206664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a minute in seconds?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/21*(-6)\/(-14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 16*s**2 - 15*s + 2. Let f be x(15). Let t = -10 - -10.1. What is the third biggest value in -4, f, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33351, -10317, 28073, 81819, 150921, 235379?\nAnswer: 335193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/140*21\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54.985 - -0.015. Let z = -93 + y. Let i = 18 + z. Which is smaller: -2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -33027 and -33028 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 1. Let s(w) be the second derivative of 3*w**5\/10 - w**4\/3 + w**3\/3 - 5*w**2\/2 - 24*w. Determine -s(d) - 5*v(d).\nAnswer: -d**3 + 4*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvovxviwxwopppo. What is prob of sequence xxi?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*k**5 - 90*k + 3*k**5 + 104*k - 104*k wrt k?\nAnswer: 720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 + -92. Is w less than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o*o**6)))\/o**(3\/2))**48)**(-5\/2) assuming o is positive.\nAnswer: o**(-660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k + 0 + 1\/5*k**2 + 1\/5*k**3.\nAnswer: k**2*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 11:11 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 36*r**3. Let a be s(2). Let n be ((-5)\/(-2) - 3)\/((-5)\/30). Suppose -n*i - 2*v + 63 + a = 0, i - 127 = -4*v. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**5\/60 + 5*s**2\/2 - 3*s. Let v(q) be the first derivative of u(q). Let x(k) = 10*k**2. Determine v(x(j)).\nAnswer: -100*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 2*h**2 + 2*h. Let q be o(2). Suppose q*u - 108 = -4. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*o = 195*o - 156 - 1608 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/8)*d)\/(d\/(d*d**(-21))))\/((d*d*d\/((d**(-3\/11)\/d)\/d))\/d*d)**(-1) assuming d is positive.\nAnswer: d**(-1263\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 3*w - 9 = 9, j + 19 = 4*w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 9*h**2. Let c(r) = 9*r**2. What is c(n(u))?\nAnswer: 729*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-16\/5)\/v)\/v**(-18\/5) assuming v is positive.\nAnswer: v**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 9*d**2 + 8*d. Suppose 0 = -5*p - 21*p + 364. Let x(q) = -q**2 - q. Give p*x(c) + 2*i(c).\nAnswer: -2*c**3 + 4*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12744\/(-4779) + 56\/3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c**2 + 2*c**2 + 4*c**2)*(1 - 2 - 1)*((1 - 5 + 2)*(1 + 0 - 3) + 4 - 3 + 5).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5200) - (-2 + sqrt(5200) + -2)) + 2 - (((sqrt(5200) + -1)*-1 - sqrt(5200)) + -5)) + 3)**2.\nAnswer: 1040*sqrt(13) + 20969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 197, 1353, 0.3, -2\/7, 0 in ascending order.\nAnswer: -2\/7, 0, 0.3, 197, 1353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1646, -1457, -1266, -1073, -878, -681?\n\"Answer: u**2 + 186*u - 1833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*k = -207*k - 2825 - 3911 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -141431?\nAnswer: -141430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 46*o + 314. Let s be (-17)\/((-612)\/126)*-2. What is q(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 4 (c) 0.71 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32134 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 147821 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7704\/48150)\/((-4)\/(-250)) + (-142)\/14?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + b**2 - 372*b - 1194. Determine j(-20).\nAnswer: -1354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-17)\/(-136) - 17\/8. Let u(c) be the third derivative of -c**4\/24 - c**3\/3 - 10*c**2. Let h be u(i). Solve 4*w - 12 = h, 7 = -2*s - 0*w + 3*w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35 + b**3 + 6 + 11*b + 6*b - 6*b wrt b?\nAnswer: 3*b**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + u = -957, -4*u - 1595 = 5*x - 3*u. Let i = x + 226. What are the prime factors of (1*2)\/((-6)\/i)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2947445?\nAnswer: 5, 283, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.3 (b) 2 (c) -1\/4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10348154?\nAnswer: 2, 41, 97, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5 - 159*g**4 + 1277*g**3 - 2421*g**2 + 1305*g = 0. Calculate g.\nAnswer: -87, 0, 1, 3\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/25 of a millennium?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -179b2 + -124?\nAnswer: -17b06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**3*z**(6\/13)*z assuming z is positive.\nAnswer: z**(58\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -22121101 (base 3) in base 16?\nAnswer: -1882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 9:07 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j. Suppose -7*v + v = j. Solve v*m = m + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.61 + 1.81. Let i = -0.08 - -9.08. Which is the second smallest value? (a) i (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4165686 and 19404.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/8 of a hour?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 14*m - 2*j = 0, -3*j - 6 = -3*m. Solve 3 = 5*b + m*d, 4*d = 5*d - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at least as big as 1.42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1490834628?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2722, -2713, -2708, -2707, -2710?\nAnswer: -2717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**2\/2 + h - 95. Let r(q) = -2*q + 2. What is 8*o(z) - 3*r(z)?\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 262, 2, 1\/2, -4, 1\/4, -0.1, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(0 + sqrt(275) + 2) - ((sqrt(11) - sqrt(44)\/sqrt(4)*-3) + sqrt(11) + 0)*2) + -3)**2.\nAnswer: 660*sqrt(11) + 10021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 8*d - 5*d - 6*d - 5*d. Let p(h) be the second derivative of h**6\/240 - 5*h**4\/6 - 8*h. Let g(c) be the third derivative of p(c). Determine r(g(a)).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -84 at most -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 45 = 113. Suppose -39442 = n*w - 58*w. List the prime factors of w.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39*c**4 - 14 + 27 - 4 - 12 wrt c?\nAnswer: -156*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -49216\nAnswer: -1\/49216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2017 is divided by 165?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 982469186 to the nearest one hundred thousand.\nAnswer: 982500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 141 = 5*p - 749, 2*m - 3*p = 568. Suppose -6*f = -f + 5*b + m, 3*b = 4*f + 204. Let h = 56 + f. Solve 0 = h*t + g + 2*g + 4, -4 = t + 2*g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110813 < 110812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 5:50 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 + 2*f**2 - 3*f**2 - 8*f + 5*f + 18*f - 3*f**2 + (3 + 0 - 2)*(0*f**2 - f**2 + 0*f**2).\nAnswer: -3*f**2 + 15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 10:02 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 315150449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/5 + 1304*t\/5 + 425104\/5.\nAnswer: (t + 652)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*s + 6 = 0, 2*p - 26*s = -25*s + 4. What is the least common multiple of p and 409?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**7\/70 - 9*i**6\/40 + 19*i**5\/20 + 9*i**4\/8 - 10*i**3 - 1352*i**2. Determine f so that r(f) = 0.\nAnswer: -1, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25)\/(-5) - 1\/1. Suppose -3*t - y*w - 4 + 29 = 0, 0 = 3*w - 12. What is the nearest to 0.2 in t, 3\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = 5*u - 360. What is the highest common factor of 90 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -73076?\nAnswer: -73070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3767982?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.4? (a) 0.1 (b) 0 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*a - 17646 = 31*a + 208*a for a.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + 1)**2*3 + -3)*-2.\nAnswer: -2550 - 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 5*c = -328. List the prime factors of c.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 z when three letters picked without replacement from fffkfkfkz?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from lzlzlllllzl.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(10\/3)\/r**(-1\/9)*(r\/r**(4\/7))\/(r\/(r**13*r)) assuming r is positive.\nAnswer: r**(1063\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**7\/3 + 11*r**4\/12 + 71*r - 53. Let b(i) be the first derivative of n(i). What is the third derivative of b(w) wrt w?\nAnswer: 840*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, n: 11}. Give prob of sequence cnnn.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -4*y + 35, -4*y = -5*y - 4*a + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498 = -11*b + 6*b + 558 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 = 6*k - 67. Let r = -59 + k. Suppose 2*t = r*t - 1527. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxsxxxxx. Give prob of sequence xx.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -376280 (base 12) to base 8.\nAnswer: -3342400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1169 and 56947?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + l - 38. Let q be u(0). What is the units digit of (-10 + -2)\/(-4) - q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105053 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugt when three letters picked without replacement from ustsssssgttg?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z*z*z*z\/(z**(-6\/25)\/z)*z)\/z*z*z)\/(z\/(z*(z**24*z)\/z)))\/((z\/(z\/((z**(4\/21)\/z)\/z))*z)\/z*z**40\/z*z) assuming z is positive.\nAnswer: z**(-2599\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -209025975090.\nAnswer: -209025975089.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 200 = 5*q - 10*q + 9*q, 2*q + 5*o - 88 = 0 for q.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((-3 - 6) + 5 + 5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*s**3*z**4 - 76*s**3 - 166*s**2*z**4 + 16*s**2 + 2 wrt z.\nAnswer: 16*s**3*z**3 - 664*s**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 = 303220\/1291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -13*u**6\/15 - 13*u**3\/6 - 3*u. Find the second derivative of f(n) wrt n.\nAnswer: -312*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5161648, 5161640, 5161628, 5161612, 5161592?\nAnswer: 5161568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1460045*y**4 - 43443*y**2 + 2*y - 13.\nAnswer: -35041080*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7007 (base 10) to base 2\nAnswer: -1101101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00023569 to five dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 274451628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121 + -118. Suppose g*i - 613 = -2*k, -5*k = -k - 5*i - 1237. What are the prime factors of k?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d + 367. Calculate the remainder when r(15) is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2686516, -2686517, -2686518, -2686519, -2686520?\n\"Answer: -i - 2686515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 12*u**2 - 12*u - 13. Let t be r(13). Solve -k - 12 = -f + 4*k, 4*k + 8 = t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-22 + 31 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 1 - 10. Let a = p - -10. What is the least common multiple of 4 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21140069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 13114401?\nAnswer: 13114353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 10 = -3*w, -7 = z + 2*w - 1. What is the derivative of -10*o**z + 0 - 7*o**2 - 35 - 13*o**2 wrt o?\nAnswer: -60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p + 3*l + 416, -2*l = 4*p + 420. Let f = p - -136. What are the prime factors of 3857\/f - 1*2?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 2*f + 4. Let b be t(7). Suppose 37 = 4*v - b. Suppose d + 5*k = v, 4*d - 4*k - 7 = -3. Solve d*z - 15 = z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 l when three letters picked without replacement from llfffffmffffmff.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 5*f + 5*x, 2*x + 86 = -5*f + 215. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-5))\/((-12)\/30). Factor 0*t**2 + 3*t**4 + 6*t**3 - 3*t**v - 4*t**5 - 3*t**3 + t**5.\nAnswer: -3*t**2*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 10. Let t(k) be the second derivative of k**3 + k**2 + 37*k - 2. Calculate t(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1317)\/(-720) + (-4)\/6. Let n = 9\/16 - g. Let y = -0.4 + -0.1. Which is the closest to -2\/5? (a) n (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6 = -2. Suppose -5*j + 10 = 0, w - 4*w + b*j = -8. Solve 0 = -w*v + v - 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 25063, 50480, 75875, 101236, 126551, 151808, 176995, 202100?\n\"Answer: -2*t**3 + t**2 + 25428*t - 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -45, -2, -15 in increasing order.\nAnswer: -45, -39, -15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**2 - 14*u - 8. Let i(k) = 3*k**2 + 13*k + 8. Let z(a) = -6*i(a) - 5*q(a). Let r = 2 + 5. Does 17 divide z(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -21*b**3 + 2*b + 1. Let v(i) = 142*i - 11. Let l be v(-13). Calculate the remainder when l\/(-24) - 6\/16 is divided by z(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20685 + 20684.96. Put -0.01, -25, -0.1, -2, x in descending order.\nAnswer: -0.01, x, -0.1, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*b - 12, 4*r - 1 - 17 = -5*b. Let a = 45 + -43. Calculate the remainder when a is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + 4 + sqrt(175) + 3.\nAnswer: 7 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4440465 is divided by 2513.\nAnswer: 2507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.3, -23691, -0.4.\nAnswer: -23691, -3, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0201 + 77.0201. Let x = b - 69. Let a = -12 + 8. Which is greater: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -411 + 352. Is i not equal to -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11558 + 2*u**2 - 11552 + 23110.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*m = 33*m. Solve m = 2*k - 4*r, -8 = -2*k - 3*r - r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2344879579.\nAnswer: 7, 13567, 24691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-70))\/((-1716)\/(-11440)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -642\/1655?\nAnswer: -642\/1655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b**2 + 33*b + 340. Does 13 divide q(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/371 and 33\/530?\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -347836.13 to the nearest one hundred.\nAnswer: -347800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -5*a**4\/6 - a**3\/6 - 2*a. Let q be f(-1). Let t = -3 - q. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 1)*-2*6. Suppose 7*x - 2*j - 40 = 4*x, 4*x - 2*j - 52 = 0. Calculate the greatest common divisor of x and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -295d2 (base 15) to base 2\nAnswer: -100000011101010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342290859.\nAnswer: 3, 114096953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrd when three letters picked without replacement from {j: 1, n: 1, q: 3, d: 3, r: 2, y: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4848, 4844, 4838, 4830, 4820, 4808?\nAnswer: 4794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 11*j = -4. Suppose 3*b = j*x + 4*b - 15, 3*x = 3*b. Solve k - 4*v = -v + 8, -5*k + x*v + 20 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)*1 - sqrt(5)) + -1)**2 + sqrt(45)\/(-2*sqrt(18)\/sqrt(2) - sqrt(9) - sqrt(9)).\nAnswer: -25*sqrt(5)\/4 + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by -32.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -2, 0.2, -0.04 in ascending order.\nAnswer: -14, -2, -0.04, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -306*w - 29694. Calculate p(-97).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 63*s - 682. Let y be x(11). Solve -2*n - 9 = 3*v, -v = 2*n + y - 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2068*u**2 - 2295*u wrt u?\nAnswer: 4136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/14)\/(126\/(-49833)*-113)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 + (-42)\/6 + 638. Which is smaller: 637 or j?\nAnswer: 637","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42297394*-1.\nAnswer: -42297394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 17*c + 256. Determine z(-19).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 1240*f - 1245.\nAnswer: 5*(f - 249)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 10:48 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**5 + 81*z**3 - 140*z**3 + z**4 + 72*z**3 + (0*z**3 + z**5 + 0*z**3)*(-1 + 1 + 2).\nAnswer: 3*z**5 + z**4 + 13*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59014, -118040, -177066, -236092?\nAnswer: -295118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2332, -4664, -6996, -9328, -11660?\n\"Answer: -2332*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 109 + -121 + -258*(-7)\/126?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*d - 9*d + 8528 = 5317 - 14345 for d.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 0*f**3 + 0 + 8*f + 0*f**5 + 1\/56*f**8 + 0*f**6 + 0*f**2 + 0*f**7 - 5\/12*f**4. What is the third derivative of j(v) wrt v?\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -812000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10530.1 rounded to the nearest 100?\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12122 + 21110?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -315, -1243, -2789, -4953, -7735, -11135?\n\"Answer: -309*v**2 - v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 26 - -34) + -30.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 90 = 2. Find the second derivative of -k*m**4 - 23*m**4 + 27*m**4 - 3 - 2*m wrt m.\nAnswer: -216*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 20 - 8 = 0. Suppose -24 = -b*n - 4*f + 5, 4*f = 8. Solve 2*u - 3 = n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5900593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 + -4.2. Suppose 3*h - 9 = -0*h - 3*g, 2*g + 2 = 2*h. Suppose -h*s + 11 - 1 = 0. What is the third smallest value in -1, s, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 1013322?\nAnswer: -1013332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/5 + (-4)\/10. Suppose -m*f = -2*h - 0*h + 164, 267 = 3*h + 4*f. Let y = -1 - -35. Calculate the greatest common divisor of y and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 2\/19, 16010, -13 in descending order.\nAnswer: 16010, 2\/19, -2\/15, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 1 (b) -10722 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttqqqixtqxixq. What is prob of sequence itqx?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -347 (base 12) in base 3?\nAnswer: -200001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 146 - 16?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 184407406*b**2 - 192840691*b wrt b?\nAnswer: 368814812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16284906 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5915 times -0.5\nAnswer: 2957.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q + 32. Determine m(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -430 (base 10) to base 7.\nAnswer: -1153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**3 + 3*o**2 + 7*o + 1. Let h be z(-2). Suppose q + 43 = h. What is the hundreds digit of 204*(-1 - 8\/q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30722493?\nAnswer: 3, 443, 23117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide (-290 + 11)*((-16)\/12 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 833 and 4998.\nAnswer: 4998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -7*p**3\/6 - p**2\/2 - p. Let a be i(-1). Is (-18)\/a*(-102 + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1345100, 1345118, 1345136, 1345154, 1345172?\nAnswer: 1345190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 61*g**2 - 10*g**4 - 8*g**3 + 2*g**5 - 2*g**2 - 19*g**2.\nAnswer: 2*g**2*(g - 5)*(g - 2)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48228021 divided by 4\nAnswer: 48228021\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 70.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43745 = 2*g - 49837. What is the second derivative of 46791*q**3 - 64*q - g*q**3 - 188*q**4 + 248*q wrt q?\nAnswer: -2256*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15306 - 1836547\/120. What is the common denominator of -79\/45 and u?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**3 - 23*z**2 + 4*z + 10. Suppose 70*i - 173*i + 1314 = 116*i. What is d(i)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 2:05 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 12:17 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 + 4*c**4 + 3*c**4 + (2*c - 3*c - c)*(c**3 + 0*c**3 + c**3) - 8*c**4 - 4*c**4 + c**4.\nAnswer: -10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -7*m**5\/15 - 5*m**4\/12 - 28*m**2. Find the second derivative of y(l) wrt l.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3 - 6*l + 2*l**3 + 0*l**2 + l**2 + 2*l**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/3726 and -53\/216.\nAnswer: 14904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2*(-38655)\/(-5154)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 79 = -5*c - 5*v, 0 = -5*c - 5*v + 110. What is the highest common divisor of 189 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*-2*sqrt(84) - sqrt(84))\/(sqrt(12) - (-1*sqrt(1452) - sqrt(12))).\nAnswer: 3*sqrt(7)\/13 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -36 + 34 + 0 + 1 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 1 = -g - 7*w, w = g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 4) + -2 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7174 = 2*c + 1298, 3*c = 3*h + 8832. Suppose 7*m - 11*m + 2944 = 4*q, -5*m = 4*q - c. Suppose 4*i = 1209 + q. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l. Let u(v) = -19 - 5*v - 16 + 35. Give s(u(t)).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 2*k**2 - 15)*(-5*k + 5*k + 2*k**2).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 y, and 1 o when three letters picked without replacement from {j: 3, y: 2, t: 1, o: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**2 + 10*u - 10. Let x(v) = v**2 - 2*v + 2. Let l(z) = i(z) + 5*x(z). Let t(s) = -1 + 1 + 17*s**2. What is l(t(o))?\nAnswer: 289*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1411 - -142351?\nAnswer: 140540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/200*-10)\/(6\/15).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -20*z**3\/3 + 1. Let u(l) = l**2. Calculate f(u(x)).\nAnswer: -20*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11 - -3*(2 - (-3 - -4)). Suppose 7*a - 147 = q*a. Let o be 0\/2*7\/a. Solve 0*l + l + 2*g + 11 = o, 5*g = 2*l - 23 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 81 or 56?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -53 + -227375396295\nAnswer: -227375396348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w + 28*w - 14*w.\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 5*u + 21, -u + 3 = -219*y + 217*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -4, 3, -1, -2, -14 in increasing order.\nAnswer: -14, -4, -2, -1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.27 + 22.73. Which is the third smallest value? (a) 0.3 (b) o (c) 3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18372 and 221517328.\nAnswer: 6124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -386*j**4*y**3 + 14*j**4*y**2 + 2480*y**3 - y wrt j?\nAnswer: -1544*j**3*y**3 + 56*j**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66.84 - -68. Let k = -1.15999951 + h. What is k rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 583 - 492. What is the greatest common divisor of u and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 12:40 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-3)*5 + -2 + 10. Let u(l) be the second derivative of 2*l**3\/3 - 3*l**2\/2 + l. Let v be u(b). Solve -2*w = k + 5 - 2, -w = 4*k - v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 3*m + 24 = 9, -5*m - 18 = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7624 = 9*x + 7615 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 - 49 = -59*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/11 and 1112\/(-66) + 105\/33 + -3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(208))**2 + 2 + sqrt(637) - (sqrt(39) + -2*sqrt(156))\/(sqrt(12)\/(2*sqrt(4))).\nAnswer: 13*sqrt(13) + 3330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -1 (c) -7\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 (base 8) in base 7?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38957235 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**5\/30 - b**4\/12 - b**3\/2 + 2*b**2. Is g(4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1847 - 61746?\nAnswer: -58788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4689*q - 337042. Determine u(72).\nAnswer: 566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 20*m - 42. Let z(g) = -54*g + 125. Let a(i) = 8*x(i) + 3*z(i). Let h(l) = -4*l. Give a(h(s)).\nAnswer: 8*s + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -7*v - 8. Let x = -49109\/8 - -6150. Find the common denominator of x and ((-94)\/(-6))\/(32\/v).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3625 and 37550?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 3*v - 48, -5*r - 22*v = -19*v - 58 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*z**3 - 212*z**2 + 196*z - 60 = 0. Calculate z.\nAnswer: 15\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 + 69?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10a + a2072?\nAnswer: a1b64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -77710 (base 8) in base 2?\nAnswer: -111111111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667032 is divided by 39237.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-8)\/(-5))\/(10\/(-25)))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(200)*-2)\/((sqrt(32)\/sqrt(200) + sqrt(4))*4)*-5.\nAnswer: -125*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 12 = -2*u, 2*u + 0*u = -5*a + 16. Let p be 2\/((-2)\/(-260)*a). Suppose -15*h = -29*h + 182. What is the greatest common factor of p and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 9*o - 5. Let k be z(12). Suppose -35*q + 12 = -k*q. Suppose -q*v + 4*v = 94. List the prime factors of v.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 23 = 4*a - 9*j, -2*a = -3*j - 13. Solve -4*k + 13 = v, -a*k - v + 15 = -0*v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*i = 26, i + 0 = -4. What is the remainder when 19 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2031 - -1?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*w**5 - 2 - 3*w - 10*w + 2 wrt w?\nAnswer: 400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59535 - 29774 - 29761 - 2425*a.\nAnswer: -2425*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 6*y - 383 + 194 = -5*y - 191, -i = 3*y - 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2, -11, -22, -35, -50?\n\"Answer: -v**2 - 6*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**3 - 11*k - 440*k**4 - k**2 + 444*k**4 + 4 - k to the form m*k + p*k**2 + l + o*k**4 + f*k**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 5:28 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 2*a + 44 = 0. Let c = 7 + a. Calculate the highest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -48 + 68 - 41?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 6. Let m be a(7). Calculate the highest common factor of 3 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*n - 44 = 0, -n + 64 + 2 = 4*w. What is the remainder when 65 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**4 + 3*g**3 + 3 - g**3 - 6*g - 2*g**4 + 2*g**4 to the form c*g**3 + n*g**4 + h*g + r*g**2 + b and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3094 is divided by 172?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*o**4 - 4*o + 4*o + (o**2 - 4 + 4)*(0*o + 0*o - 3*o**2) as z*o**3 + v*o**4 + c*o + w*o**2 + t and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-329)\/4230*15*(-27)\/14\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08689 and -10233.\nAnswer: -889.14537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1\/2943 (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2321184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/3)\/((6 + -7)\/6). Sort -1, -4, t, 3.\nAnswer: t, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 53 = -0*o - 3*y, 0 = -o - 5*y - 55. Let k = o + 75. Solve 2*a = -3*s + 25, 0*s - k = -a - 4*s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -11.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c - 631 + 487 = 0. Let z(q) = -2*q - q + 5*q + 26. What is z(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (((-2)\/(-6))\/1)\/(((-49)\/693672)\/(-7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142322092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.10046 years to decades.\nAnswer: 9.410046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9282720109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*m + 585 = 0, 2*m = -2*m. Let x = z - 272. List the prime factors of x.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 + 2*r**2 - 21*r + 15. What is b(-7)?\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 b when two letters picked without replacement from rrmmbtmmttrtmtm?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/35*-2 - (-78)\/10*1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 2 = 0, -2*k - 111 = -m - 120 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -20*t + 17*t - 374, -3*v = 3*t - 561. Find the third derivative of -67*g**2 + 14*g**2 + 25*g**4 - 77*g**2 + 13*g**2 - v*g**4 wrt g.\nAnswer: -3888*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1665)\/185)\/(90\/(-4))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - 21416157?\nAnswer: -21416162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.14 + -0.16. What is the smallest value in d, 0.2, 6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 2, -10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4381634 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 3:31 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 14562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*d + 172, 2*d + d - 220 = -4*m. Suppose 37*q - m*q = -30. Let c be (4 - 2) + 0\/(-2). Solve 0 = -q*l + c*z - 1 - 1, -4*l - 20 = 4*z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31622 divided by -2\nAnswer: 15811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/(20\/(-120)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -d - 3, -4*y - 18 + 4 = 2*d. Let m be (-32)\/(-12) - (d - (-12)\/(-9)). Solve -m*v = 13 - 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5167, -2, -0.4, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 4, 206 in ascending order.\nAnswer: 1, 2, 4, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 2 = l. Calculate the least common multiple of 39 and l.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in 1\/108, -150, 79, -3\/8, 4?\nAnswer: 1\/108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 186264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.77458 centuries in years?\nAnswer: 6677.458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 17566227 = 9455379. Let u = -630536763\/70 - k. Let j = u + 3298\/7. Calculate the common denominator of j and 61\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3692 is divided by 112.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 3*d. Let c be h(-4). What is the highest common factor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w + 34. Let l be z(12). Let t be (87\/(-2) + 1)*2. Let u = l - t. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -37. What is the remainder when 45 is divided by f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -351 - -314. Suppose -42 = 3*f + 2*b + 93, 0 = 2*f - 4*b + 90. Let g = f - m. Let i(c) = -2*c - 3. Determine i(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-12 + 19 + -5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -936*m**2 + 126 - 126.\nAnswer: -936*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.3 and -6915692914434.\nAnswer: -6915692914432.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30294 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, i: 5, k: 4}. What is prob of sequence igii?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20632?\nAnswer: 2, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u + 1 - 1)*(-8 - 3 + 3 + (-291 + 530 - 273)*(5 - 2 - 2)) to n*u + k and give n.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 94*n**2 - 850*n + 54. Calculate b(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w + 1. Let y = -24 - -7. Let p be (-2)\/(-3) + y\/3. Determine t(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 3\/2*d**2 - 1\/40*d**6 - 3\/20*d**5 - 3\/16*d**4 + 1\/2*d**3 + 0 + 15*d. Determine x, given that m(x) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 + 5 + (1 - 0). Let m = 18 + q. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (-4 - (-4 - 35)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z - 1. Suppose 0 = 2*n + 4, n = -i - 2*n - 2. Suppose -2*p + 7*p + 2*x - 25 = 0, -i*p = x - 17. What are the prime factors of q(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1783589025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/247 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693 is divided by 79?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59.172 + -59. Round a to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4483 + 759. Let a = -15589\/3 + s. Let o = 46 - a. What is the closest to 1\/2 in o, -1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 0 + 48 + 95\/95.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 344 = -4*u, u = -0*u - 1. Let h = q - 68. Suppose h*i + 5*i = 275. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 5*r**2 - 4*r + 1. Suppose -3*s + 5*k - 14 = -2, 0 = 2*s + 2*k + 8. Let a be g(s). Let l = a - -24. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -34*m**2. Let w(s) = -11*s. What is l(w(x))?\nAnswer: -4114*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1318 (base 13) to base 4.\nAnswer: -222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-1050)\/200)\/(107\/16*-2)?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1393226?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 1716 = 3*g. Suppose 8 - 28 = -4*a. What is the remainder when g is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -724*g**2 + 2 + 751*g**2 - 10 + 8.\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-663)\/4)\/(15\/(-12)). Let o = -133 + j. Let d = 7\/76 + 3\/19. Which is the nearest to 1\/4? (a) -0.3 (b) o (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**2 - 17*z + 179. Let d be t(-11). What is the highest common divisor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -715*l = -708*l - 14. What is the lowest common multiple of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1812386364 or 1812386363?\nAnswer: 1812386364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2778129881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, t: 1, a: 2, d: 2, f: 4}. Give prob of sequence kt.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*2*5\/10. Let p be ((-15)\/((-120)\/(-32)))\/(-2). Suppose 3*o + d*z + p*z = 439, 0 = -3*o + 2*z + 469. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2070*d**3*y**2 - 25*d**3 - d*y - 9*d wrt y?\nAnswer: -4140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**3 + 58*x**3 - 32*x**3 - 98*x**3 - 2581*x**2 + 2584*x**2 - 91*x**3.\nAnswer: -171*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 + 444490*a**2 + 2222755*a - 16002540.\nAnswer: -5*(a - 88903)*(a - 4)*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3 + 30*u**2 - u + 1 + 3*u - 3. What is the remainder when 2\/4*(141 - (4 - 29)) is divided by q(-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 - -57. Solve 0 = -b - 5*i - 20, m*b + 5*i = -5*b - 40 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 10:24 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 4, -1, -3\/2, -2 in descending order.\nAnswer: 4, -1, -3\/2, -2, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.3426946 centimeters?\nAnswer: 0.003426946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**2 + 17*w - 7. Calculate m(7).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmvvv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 4. Suppose 0 = -4*m + 4*v + 4, -m + 3*m + v = 5. Let b be m\/(-4)*f*-5. Solve b*h = -3*p + 15, 4*h - 26 = -4*p - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f. Let r be z(-1). Let s = 241 + -102. Suppose -3*d + r*o + 99 = 0, -o + s = 4*d + 2*o. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-4 - -6) + (8 - 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 470 divide 11647288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {g: 1, b: 2, v: 7, x: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 7714.299 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6706 divided by -1\nAnswer: -6706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 y when three letters picked without replacement from uulyvlyvluu?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.55 in -5, -0.05, 0.81, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/3*2\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16735285 is divided by 1607.\nAnswer: 1594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 3148119.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.44 + -0.04. Let a = 0.2 - -3.8. What is the closest to 2\/7 in 3, n, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 23\/5, 3, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r - 2*r + 3*r)*(6182*r**3 - 12358*r**3 + 50*r + 6184*r**3) as p + g*r**4 + y*r**2 + l*r**3 + f*r and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -77975+-3\nAnswer: -77978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 43*m**9\/168 - m**7\/105 - m**5\/30 + 37*m**4\/24 + 445*m**2. Find the third derivative of x(p) wrt p.\nAnswer: 15480*p**3 - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200855, -401712, -602569, -803426, -1004283, -1205140?\nAnswer: -1405997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -622, -2693, -6124, -10897, -16994, -24397, -33088, -43049?\n\"Answer: 3*f**3 - 698*f**2 + 2*f + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from {b: 2, k: 1, q: 2, t: 1, h: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**3 - z**2 - z + 1. Let u be n(1). Let k = 4 - u. Which is bigger: k or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2518231, -28.\nAnswer: -2518231, -28, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0\/h)**(1\/30)\/((h*h**(3\/4))\/(h*(h*h**(-2))\/h)))**(4\/9) assuming h is positive.\nAnswer: h**(-167\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -288729092444.\nAnswer: 288729092444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 10 = -2*n - 5, -25 = -5*n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h - 105. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 336682.0158 to the nearest one thousand.\nAnswer: 337000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 2*z**2 - 3*z + 5. Determine a(8).\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 468730 divided by 2?\nAnswer: 234365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 696 + 718. Suppose 3*j + 3*w - 267 = 0, 2*j + 8*w - 12*w = q. Let d = -4 + 23. Calculate the remainder when j is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b83 + 1?\nAnswer: b84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -29.8.\nAnswer: -28.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 675.1 - 745. What is x rounded to zero dps?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -288*f**2 + 76245. Let p(c) = -3*c. Determine p(b(s)).\nAnswer: 864*s**2 - 228735","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 + 6*x**2 + 10*x + 18. Let y be t(-4). Let u = y - -74. Calculate the lowest common multiple of 76 and u.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 q when four letters picked without replacement from qqoqqqooqqqq?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/875)\/((-52)\/(-520))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1518167 and -365?\nAnswer: 1518532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**6 + 282*v**5\/35 - 93*v**4 - 1328*v**3\/7 + 2208*v**2 - 8448*v\/7 - 2184. Let p(j) = 0. What is j?\nAnswer: -11, -4, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -1, 4, -3.29, 2\/9, 0.5, -27?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + n)*(-2*n + n + 0*n)*(-70*n**2 - 120 + 120) in the form x*n + y*n**3 + k + h*n**2 + j*n**4 and give j.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) - (2*sqrt(363) + 3))**2 + 2.\nAnswer: 66*sqrt(3) + 374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -256*k**7\/105 + 206*k**3\/3 + k**2 - 35*k. Differentiate s(u) wrt u.\nAnswer: -2048*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2607 divided by 3\nAnswer: -869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (53 + -32 - (8 - 6)) + 11\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037218328 minus 1?\nAnswer: -0.962781672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 219 and 27083?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/1)\/((-3102)\/99264).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*d + 8, -5*u = 3*d - 313. Calculate the remainder when 89 is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 65125 - 3?\nAnswer: 65122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-39 + 89 + 58 + 85)*(-2*f + 22*f + 3*f**2 - 7*f) in the form d*f**2 + k*f + z and give d.\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1.3. Let j = 287.9 + -288. Put -3, j, m in decreasing order.\nAnswer: j, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237445 - 973*y**3 + 214*y**3 - 237443.\nAnswer: -759*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3720, 14845, 33384, 59349, 92752, 133605, 181920, 237709?\n\"Answer: 2*s**3 + 3695*s**2 + 26*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.37 (c) -29 (d) -889 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 606032?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (0 - -3 - (3 - 1))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 11:56 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403 < 1404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-six fifths of a centimeter?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.474 to zero decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-4) - 2\/8. Let c be 2\/(-4) + 10\/4. What is the closest to 0 in k, -3, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -20816395?\nAnswer: -41632790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -8*q. Let s(m) = -3*m + 3 + m**2 + 3*m**2 + 3*m. Let i = 13 - 7. Let n(g) = 17*g**2 + 13. Let v(c) = i*n(c) - 26*s(c). Calculate v(r(t)).\nAnswer: -128*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 11 + 14. Solve q + p = -4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 12 - 46 = 3*q, -5*q + 30 = -2*s. Let h(z) = -3*z - 11. What is the remainder when h(s) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 9*j - 13. Let i(x) = 2*x - 3. Suppose -1 = 4*d - 5. Let p be d + (-10)\/5 + -5. Determine p*m(h) + 26*i(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -349041 divided by 21.\nAnswer: -16621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7116*s**3 + 3385*s**3 + 3726*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-29238.\nAnswer: 350856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4649 + -4714)\/((-26)\/(-6)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 2)*(-6*z + 2*z + 2*z) + (-1 - 2*z + 1)*(-2 - 1 + 2) to the form d*z + i and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - n**2 + n - 2. Let a = 23 - 25. Let h be x(a). Solve -3*y = -h - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 15 = 4*p - 3*v, 2*p = -5*v - 25 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 720221 + -191970. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -139 (b) -5 (c) 117\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**2 + 3*t**3 - t**2)*(-2*t + 25*t - 7*t + 5) to u*t + y*t**3 + f*t**4 + o + l*t**2 and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**3\/4 + 105*v**2\/4 - 5331*v + 5304 = 0.\nAnswer: -104, 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/5)*c**6*c**(2\/15)*c*c\/c**(2\/11) assuming c is positive.\nAnswer: c**(1411\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1205 - 1200. Solve 20 = 5*t - f*i, 0*i + 3*i = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + -1 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 p when three letters picked without replacement from nppperpeppspepserrse.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -411611767, -411611765, -411611763?\nAnswer: -411611761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4203 + 16725\/4. What is the common denominator of v and -93\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 10:05 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 20 = 0, -2*k = -2*c - 3*c + 17. Let j = c + -4. Let h(n) = -3 + j + n + 5. Let z(y) = -y - 1. Determine -h(p) - 3*z(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 127914 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5269\/8 + -671. Find the common denominator of k and -109\/1122.\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 396*t + 395*t + 2 - 798*t + 3*t**2 + (t + t + 0*t)*(-t + 3*t - t).\nAnswer: 5*t**2 - 7*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18710345*f**3 - 2*f**2 + 35791108*f wrt f.\nAnswer: 112262070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157609?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + h - h)*((0*h + 4*h + h)*(0*h**2 - 2*h**2 + h**2) - 18*h**3 - 10*h**3 - 20*h**3).\nAnswer: -106*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106149108 is divided by 168?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c*k*s**2*t**2 - 2*c*k*s**2*t - 233123*c*k*s*t**2 + 2*c*k + 7*c*s**2*t + 154*s**2*t - 1 wrt t?\nAnswer: -2*c*k*s**2 - 466246*c*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1032.1 * -5\nAnswer: 5160.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18527110 and 44465064.\nAnswer: 222325320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1368848733 rounded to three dps?\nAnswer: -0.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 + u**5 + 2*u**5 + 31*u**5 + 30*u**5 - 34*u**5 + (3*u**3 - 3*u**3 + 3*u**3)*(3*u**2 + 3*u**2 - 5*u**2) + 0*u**2 + 0*u**2 - 2*u**5.\nAnswer: 29*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 27.31905?\nAnswer: 27.11905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*i - 435, -3*h + 146 = i + 43. What is the remainder when i is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -108, -523845 in descending order.\nAnswer: -3\/2, -108, -523845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**3\/4 - 20*b**2 + 225*b = 0.\nAnswer: -90, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**4\/2 - 5*o. Let d(w) = -3*w. Give d(l(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 1 (c) -422.173\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 615 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34887*o + 39*o**3 - 34887*o.\nAnswer: 39*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 817 - 585. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 12*g - 40. Suppose v + 4 = 0, 5*v - 67 = 64*h - 61*h. Is c(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5386 + 5369. Let d = 138 + -138.06. Which is smaller: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236108423 divided by -241.\nAnswer: -979703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfkfk. What is prob of sequence fk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 506 + -504. What is the closest to w in -2.6, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 231 + -166. Let k(w) = -w - 1. Let d(r) = 20*r + 9. Let q(b) = -d(b) - 5*k(b). Let v be q(-2). What is the greatest common factor of v and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.2 - 0.0296\nAnswer: 7.1704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 64*q + 897. Let f be g(43). Let n(z) = z**2 + 14*z - 5. Determine n(f).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -121*v + 12. Let d be j(8). Find the common denominator of 81\/8 and (-4)\/(-18) - d\/(-252).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5145*u - 36107 - 477013 - 22041 = 25644 for u.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 1\/6*u**3 + 0*u**4 - 7*u**2 + 0*u + 1\/480*u**6 + 0 - 1\/80*u**5. Determine j so that t(j) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 2*x = -2*b - 72, b - 3190379 = -5*x - 3190450 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y = 4. Suppose -6*x + x + 17 = -y*q, x = q + 1. Differentiate -6*b**2 + 4*b**2 - q*b**3 + 2*b**2 - 3 wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k. Let r(j) = j**2 - 2007*j - 4967. What is d(r(o))?\nAnswer: 2*o**2 - 4014*o - 9934","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 405, 820, 1235, 1650, 2065, 2480?\n\"Answer: 415*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-34)\/1224*-12)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 480124738?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3898?\nAnswer: 2, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 564169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2 = -3*k. Suppose k = -4*a - 3*g + 17, -4*a + 16 = 5*g. Suppose 18 = 3*l - 7*w + 4*w, -3*l = a*w - 25. Solve -l*i = -5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 - 395*c + 1151. Give d(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 121 = 80496*h - 80495*h, 2*x - 6*x - 59 = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -22 and 0.0972 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 4*g - 4. Calculate z(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -22. Let d be (-8)\/2 + 2 + 4. Suppose -2*h = -0*u - d*u - 100, -5*h + 3*u + 260 = 0. Calculate the remainder when h is divided by w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {n: 1, l: 7, v: 10}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, o: 2, n: 4, p: 2, b: 3}. Give prob of picking 2 g, 1 b, and 1 o.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5167803 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 62\/15 - -1 - 2\/15. Solve -8*t + 21 = o*a - 10*t, 0 = -3*t - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -4, -4*u - 468*l - 234 = -403*l for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9032041 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 2. Suppose 0 = h - a - 5, -7 - 18 = -5*h + 4*a. Let x(y) = y - 2. Let o be x(h). Suppose 0 = -o*f - 2*f - 10. What is j(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 3*i**2 - 3*i - 2. Let r be n(-2). Suppose 4*s - 20 = r, -3*u + 1 = -5*u + s. Let j = 2 + u. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1164952 and 2676?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 165 - 259. Let j = 93.9886 + h. Round j to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 237636, 475268, 712900, 950532, 1188164?\n\"Answer: 237632*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/12)\/((-46)\/(-69)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 63571392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 10*a**3 + a**2 + 6*a + 4. Determine n(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 14*h - 16. Let w be d(-13). Let q(p) = -3*p - 9. Let o be q(w). Suppose 5*g = -3*v + 230, -86 = -o*v - v - 4*g. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 54*x + 530. Let u be w(-9). Calculate the highest common divisor of u and 352.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*x + 2*u - 4 = 0, -3*x = -3*u - 9. Suppose f - 3*z = -9, -4*f + 7*f + 9 = 3*z. Suppose x*v + 64 = 2*q - 2*v, q + 4*v - 20 = f. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m. Let a(t) = 2*t - 12. Let r(p) = -a(p) + 5*o(p). Let i be r(16). Let u = -26 + i. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-24)\/(y*y*y**(-2)*y))**(-1\/5))**(-1) assuming y is positive.\nAnswer: y**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + -33 + 40 + 18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31240, -62466, -93694, -124924?\nAnswer: -156156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 21629 * -1.11\nAnswer: -24008.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = x + 36. Suppose -44*c = -46*c + 20. Let r = x + c. Sort 0.5, 1\/5, r.\nAnswer: 1\/5, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14632343 + -1808082.\nAnswer: 12824261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.05 (b) 10 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*n + 24. Let l = n + 3. Let w(c) = -3 + c**2 + 0*c**2 + 2*c + c. Calculate w(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 124? (a) 1 (b) 0.04 (c) -4\/7 (d) -7\/3 (e) 22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 62*m**2. Let a(h) = -18*h + 64*h - 14*h - 15*h - 16*h. What is d(a(l))?\nAnswer: 62*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -13*y**2 - 10*y + 1. Let i be c(1). Let w(l) = -10*l. Let h(b) = -2*b + 0*b + 2*b - b. Give i*h(t) + 2*w(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 554505017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141670 - 25337*j - 141670.\nAnswer: -25337*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0\/((h*h*h**5)\/h))**(9\/5) assuming h is positive.\nAnswer: h**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -4*c + 1\/50*c**5 + 0*c**4 + 0*c**2 - 1\/15*c**3 + 4. Let y(t) be the first derivative of i(t). Factor y(a).\nAnswer: 2*a*(a - 1)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 19 = -5*z, -2*v - 36 = -z + 5*z. Let j(x) = x**3 + 7*x**2 - 8*x - 9. Let r be j(z). What is the tens digit of (r - (-3)\/6*2) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/5 + 12*b**2\/5 - 64\/5.\nAnswer: -2*(b - 4)**2*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/3)*m\/m**(-6\/5))**(1\/14)\/(m**(-4)\/(m*m\/(m\/(m*m**(2\/9)))))**(-1) assuming m is positive.\nAnswer: m**(-3761\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*c**2 + 60*c**2 - 35*c**2)*(0 + 1 - 2)*(4 + 2 - 4).\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-944)\/2124)\/((-2)\/(-12)*-1). Solve x - 3*v**3 + 20\/3*v + 2*v**2 = 0 for v.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*m = -17, -b + 4 = -2*m + 11. Let v be b\/(-1 + -1 + 1). Let j be (24\/28)\/(v\/(-42)). What is the greatest common factor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8*-3*2\/4. Is 10 a factor of 3\/z - 180\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5919017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*n**2 - 24*n + 1011 with respect to n.\nAnswer: -8*n - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 466.0299 + -466. Let j = 0.039 - p. Round j to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 7. Let r be v(-4). Let d = 20 + r. Calculate the remainder when d is divided by 2\/23 + 23664\/4002.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 8*u - 12. Let d(z) = -z**3 + 6*z**2 - 4*z - 2. Calculate the lowest common multiple of d(5) and b(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - i - 3 = p, -i - 11 = 4*p. Let w be (6\/(-60))\/(p\/10). Let d = 34 + -33. Which is bigger: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 1 + 3*y + 7*y**2 - 8*y**2 - 5 - 2. Let j be 15\/1*2\/6. Give i(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-1) + 1050\/(-273). Let x = -1.1 + 0.8. Let n = x - -3.3. Sort l, n, -18 in decreasing order.\nAnswer: n, l, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 0.3 (b) 83 (c) 2\/17 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52.7 - -49.7. Let z = 4 + u. Which is the nearest to z? (a) 5 (b) -34 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 9 = 3, l = -4*x - 5. Let r be x\/3 - 26\/6. Let i = 5 - r. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -73. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -636*w + 580*w = -504. Solve 87 = w*z - 38*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnrlrwnlllolrorrnrl. What is prob of picking 1 w, 1 r, and 2 o?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/13, -0.14, 0.2, 0, 1\/7, 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.17 - 0.07. Let v = 4.97 + 0.03. What is the third smallest value in v, 0.5, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 15. Let n be (o\/3)\/((-2)\/(-12)). Let t(r) = -1 + 3 + 2 - n. Let y(b) = -b + 1. Calculate t(z) - 2*y(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -106255263 + -1?\nAnswer: -106255264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1000*u + 5. Let q(r) = 2001*r - 9. Let n(h) = -11*c(h) - 6*q(h). Let k be n(1). Let a = k - -677. What is a rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 34909 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10, 21, 24, 13, -18, -75?\n\"Answer: -n**3 + 2*n**2 + 12*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.02 + -0.02. Let r = 10.22 - i. What is r rounded to two decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 477572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**3 + 2*l**3 - 4*l**3 + (9*l - 69*l - 2*l**2 - l**2)*(0 + 0 + 2*l).\nAnswer: -12*l**3 - 120*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*g - 16 = 4*g, 3*h - 69 = -3*g. Let d = h - 26. Let k = d - -11. Solve 3*a + 0 = k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3221\/402 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/4 - (-6)\/(-12). Let y be 14\/(-21)*(-3)\/(-11). Put y, -0.2, l in descending order.\nAnswer: l, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -189, -650, -1545, -3018?\nAnswer: -5213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, i: 9, g: 2, z: 3, h: 2}. What is prob of picking 1 i and 2 g?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 6 + -7 - (15 + 15 - -13)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 5:30 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 69 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/(1485\/670) + 4)\/((-8)\/(-6)). Let c = -4 - -4. Is c less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3645?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 104718.5*-21\nAnswer: -2199088.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 2*a**2 - 3*a - 2. Let m = -5 + 8. Suppose -13 + 7 = y. Let o = y + m. Give h(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 25, 41, 75, 133, 221?\n\"Answer: i**3 + 3*i**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -0.212393346861.\nAnswer: 3.212393346861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 78692.33 litres in millilitres?\nAnswer: 78692330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 749.2 - 746.20015. Let p = f + -3. Round p to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(2448))**2.\nAnswer: 9787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 12*d - 5*d)*(-2 + 2 - 1) + 4*d + 0*d - 2*d.\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 4 - -1) + (-2156)\/(-4). Let h = k - 323. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 7*b - 55. Let x = -1303 + 1298. Let c be s(x). Suppose 0*y - 205 = 5*y. Which is greater: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -165, 0.3, 3, -15\/428, -2?\nAnswer: -15\/428","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 7*z**8\/2 + z**7\/14 - 205*z**4\/3 + 3*z - 541. Find the third derivative of c(t) wrt t.\nAnswer: 23520*t**3 + 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -712274*z**4 - 158247*z**2 - 5*z.\nAnswer: -17094576*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 9*d + z = -7, 2*z = 5*d - 29 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 1178*t**2 + 2*t.\nAnswer: -1178*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46724 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 74 = 50. Let h(n) = 2*n**2 - n. Let j be h(1). Solve -5*l = 3*c + 19, -s*l + j = -2*l + 3*c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116736 - 80457. What are the prime factors of q?\nAnswer: 3, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11456239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -2 (b) -1\/4 (c) -1 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t - 80 = 0. Let v = t - -31. Calculate the greatest common factor of 44 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018470407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2 + 3*u + 6. Let p be i(-8). Let v be ((-120)\/p)\/((-14)\/49). Let s = 364\/187 - v. Which is smaller: -0.2 or s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1809 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 -5*g + 21 = 1. Suppose n + 4*v = 12, -g*v - 4 = -3*n - 0. Let x be (3\/(-2))\/(1\/(-2)). Solve 9 = -3*u + x*h, -1 + 7 = -2*u + n*h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fft when three letters picked without replacement from {f: 2, y: 7, t: 4}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2*(3 + 5). Solve 8 = 2*i - k*j, -4*j - 20 = -3*i - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/5 - 926842*l\/5.\nAnswer: 2*l*(l - 463421)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515 is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**21)*b*b*(b\/(b*b*b**(-12)*b))\/b)\/(b\/((b\/(b*b**(-42)))\/b*b)*b**(-3\/4)*b) assuming b is positive.\nAnswer: b**(291\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q**3 - 11*q**2 + 34*q - 21. Determine i(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 2*k + 0*k)*(-61*k - 1712 + 1712)*(-13 + 6*k**2 + 13).\nAnswer: -366*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*j**3*n**3 - 2*j**3*n**2 - 3*j**3*p - 1039*j**2*n**3 - 4887*j*n**3*p - n**3*p - 5*n**3 - 2 wrt p?\nAnswer: -3*j**3 - 4887*j*n**3 - n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -249, -945, -2103, -3723, -5805, -8349?\nAnswer: -11355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 48*r**2 - 96*r - 8. Let j be i(2). Solve -4*s - 3*f - 46 + 39 = j, -10 = 5*s + 4*f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9029971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -36200 divided by 5\nAnswer: -7240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99535 and 12879829?\nAnswer: 64399145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 5*p**9\/3024 + p**8\/168 - p**6\/36 - p**5\/24 + 2*p**3 + 12*p**2. Let f(h) be the first derivative of k(h). Factor f(y).\nAnswer: 5*y*(y - 1)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 3*p**2\/2 - 4*p - 2. Let x(k) = -5*k + 7. Suppose 3*i + 5 = 17. Let f(t) = i*x(t) + 7*z(t). Let a(r) = 4*r. What is f(a(n))?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3729 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -700 - 1564 - 3080 - 2*l - 900.\nAnswer: -2*l - 6244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 28 + 132 = 0. What is the highest common factor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**5\/20 - 4*u**4\/3 - 3*u**3 + 5*u**2 - u. Suppose a = 4*v - 76, 2*v + 33 - 75 = a. What is f(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 13. Let a = -1198\/5 - -239. What is the nearest to 0 in r, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1248\/7 - 178. Let r = 5595.8 + -5596. What is the nearest to p in 3\/16, r, -1\/7?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 65.89543ml?\nAnswer: 0.06589543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**7\/105 + o**6\/360 - o**4\/24 - 4*o**3\/3 - 8. Let a(m) be the third derivative of i(m). Let c = 0 - 1. Determine a(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 2:54 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (7\/(-2))\/(7\/(-154))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c*g**2*o*q + 3*c*g*o*q - c*g + 2*g**2*o*q - 3*g**2*o + 2*g*o*q + 3*g*q wrt g.\nAnswer: 8*c*o*q + 4*o*q - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -0.5. Let h = 12 - 7. Let x = h - 23\/5. Which is the closest to x? (a) -2\/3 (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.4 + -35.4. Which is smaller: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/10 + 11*(-9592)\/(-40). Differentiate -2688 - q + 4*q**3 + r - 6*q - 3*q with respect to q.\nAnswer: 12*q**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -9*k**2 - 48909*k + 32610 = 0.\nAnswer: -5435, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -722 + 711. Let w be ((-1)\/(-3))\/(3\/36). Suppose -w*k = -k. Sort -3, k, a in descending order.\nAnswer: k, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**3 - 4*o**3 + 4*o**4 + 1 + 0 - o + 5*o**3 as h*o + s + w*o**3 + b*o**2 + r*o**4 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*w - 319*w + 101*w.\nAnswer: -441*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**4 - w**3 - 4*w**2 - 3*w. Let f(s) = -2*s**4 - 3*s**3 - 9*s**2 - 7*s. Let l be 4 + -5 + 4 + 0. Let a(t) = l*f(t) - 7*x(t). Factor a(d).\nAnswer: d**2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1625*p - 684*p + 123*p = -137718 for p.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 0.0472, -5, 40 in descending order.\nAnswer: 40, 0.0472, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -ad9d?\nAnswer: ad99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11716919?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 8 = t, k = -3*k + 2*t - 22. Let c be (k + (-3 - -7))*1. Let u(a) = a**2 - 3*a + 1. Calculate u(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7998 + 8002. Let a(h) = h**3 - 4*h**2 - 3*h - 6. Let q be a(5). Let d be -3 - (q\/o - 7). Solve 10 = -5*b + 5*i, -4*b = -d*i - 2*i + 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 15*t + 8, -u + 25*t - 20*t - 2 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3351? (a) -4 (b) 2\/3 (c) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4186405250 rounded to the nearest 1000000?\nAnswer: -4186000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1747, -797, 777, 2975, 5797, 9243, 13313?\n\"Answer: 312*x**2 + 14*x - 2073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28964723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*v + 7 = 0, -a - 4 = -3*a + 2*v. What is the units digit of a - 0 - (4 - 10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*t - 90 = 0, -52 = 10*y - 12*y + t. Calculate the remainder when y is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5*v**2 + 24*v + 9. Let g(l) = 11*l**2 + 47*l + 20. Calculate -4*g(x) + 9*w(x).\nAnswer: x**2 + 28*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 16 = -4*h - 30, -2*h - 4 = -x. Calculate the common denominator of 39\/11 and x\/(10*(-8)\/(-260)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 527008 divided by -4?\nAnswer: -131752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 + -253 - (-4 - 0 - (74 - -8))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -5\/3*m**3 + 5\/12*m**4 + 10 - 8*m + 5\/2*m**2. Let s(k) be the first derivative of y(k). Factor s(a).\nAnswer: 5*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 4*d**2 + 5*d + 3. Let f be u(-5). Suppose j = -5*x + 29, 13 = 3*j + 2*x - 9. Sort f, j, 0.\nAnswer: 0, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2571*n = h - 2570*n - 40, 62*h + 4*n - 2422 = 0 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -297 + 423. Suppose 5*x - 2*x + 180 = 5*r, -2*x = -3*r + 108. What is the highest common factor of r and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/56 - (-673594)\/16. What is t rounded to the nearest one thousand?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -581249 divided by 43.\nAnswer: -581249\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**8\/420 + x**4\/6 - 7*x**3\/3 + 21*x. Let w(t) be the second derivative of r(t). Find the first derivative of w(l) wrt l.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11920694515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -5*p**4\/24 - 5*p**3\/6 + 4*p**2. Let t(j) = 14*j + 14. Let x(c) = 6*t(c) + 17*y(c). Let i = -5 + 3. Give x(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**6\/30 - 3*y**5\/10 + 3*y**4\/4 - 2*y**3\/3 + 4*y + 35. Factor q(m).\nAnswer: m*(m - 4)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*o)*(1 - 2 + 2) + (-67*o - 15*o + 34*o)*(-5 + 1 + 2) + (-o + 0*o + 2*o)*(1 + 3 + 4).\nAnswer: 101*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 124 + -2 + 30 - 283.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -33820094 divided by 2519\nAnswer: -13426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -1. Let n be 0 + b - -375 - 0. Suppose 447 = 4*v + 2*d - 59, 4*d = -3*v + n. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48361 - 8463. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4 - 22\/(-4). Suppose z - i*z = -168. Suppose 0 = -4*f + f + z. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from {n: 2, s: 7, v: 3, l: 8}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -1\/900*r**6 + 0 + 0*r - 1\/180*r**4 - 8*r**2 + 1\/225*r**5 + 0*r**3. Suppose c(j) = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64 and 72.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 167 in descending order.\nAnswer: 167, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-8)*(-41 - -39).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-3*g + g + 0*g) + 346432 - 346432 - 2296*g.\nAnswer: -2292*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -91110000 rounded to the nearest one million?\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 15*w. Let v(d) = 15*d. Let z(q) = 6*k(q) - 5*v(q). Suppose -10 = 5*f + 3*t + 2*t, 17 = -f - 4*t. Let i(a) = 0 - 2*a + 3 - f. Give z(i(g)).\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 15757.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7631798971 and -1.\nAnswer: 7631798970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i + 20. Let h be f(9). Suppose -h*r + 4 = -2*q, 0 = -2*q - 3*q. What is the third derivative of -7*y**3 - 9 + 3*y**r + 9 wrt y?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90752 and 108?\nAnswer: 2450304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.7+14580.59\nAnswer: 14579.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/4 - 21*s**2 - 81*s - 80.\nAnswer: -(s + 2)**2*(s + 80)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 16*p**2 + 19*p + 63. Let o be j(-15). Solve 4*n - 11 = c + 9, -o*n - 3*c = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7182009 is divided by 219?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 4:06 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnnbbnn. What is prob of picking 2 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 7149532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5849 or -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 242972 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -173794.9633 to the nearest 10.\nAnswer: -173790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -10310?\nAnswer: -10302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + 12*x + 2. Determine v(-8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1951 less than -12624273963?\nAnswer: -12624272012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-1325)\/(-2)*28\/42*6\/5 and 106?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/26, 5 in ascending order.\nAnswer: -0.4, 1\/26, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*g = -15*g - 60420. List the prime factors of g.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10283.74853 to the nearest one hundred.\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*a**2 + 41*a**2 - 142*a**3.\nAnswer: -142*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113 and 226?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8, 112, 386, 914, 1780, 3068, 4862, 7246?\n\"Answer: 14*l**3 + l**2 + 3*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106906?\nAnswer: 2, 53453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*j = 7*t - 1, 3*j = -5*t + 18. Let u = -4 + 6. Sort u, 24, -2, t in descending order.\nAnswer: 24, t, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22121020012 - -2010?\nAnswer: -22121011002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znzanxnixazeae. What is prob of picking 1 z and 1 x?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-3))\/((-15)\/(-9)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -1. Let t(w) = w + 5. Let d(z) = 3*g(z) + t(z). Let a be d(-3). Let i(v) = -v**3 - 19*v**2 - 54*v + 379. Let q be i(-11). Sort a, q, -5.\nAnswer: -5, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((126\/(-112))\/((-3)\/(-28)))\/((-1644)\/2192)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y + 1. Let t be o(1). Let z(c) = c**3 + 5*c**2 + 6*c + 4. Let q be z(-3). Suppose 21 = -4*x - 5*j, -x - 18 = q*x - 2*j. Which is greater: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**5\/25 + 7*l**4\/20 - l**3\/5 - 19*l**2\/10 + 14*l\/5 + 180. Factor b(r).\nAnswer: (r - 1)**2*(r + 2)*(r + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/6*(-6)\/(-9). What are the prime factors of t\/4 + (-147)\/(-4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 327, 344, 361, 378?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 36 - 169 = 0. Let j = 192 + n. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**2 + 10*z - 30. What are the prime factors of j(7)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*a + 111 + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 6 + 2. Suppose -1 = -c*u - 49. Let n be (-25)\/6 - 2\/u. What is the nearest to -0.2 in -0.5, 2\/11, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2)**35\/((u*u**7)\/u*u*u\/u**4)*(u**(-1))**29*u*u\/(u**7\/u)*u**(-2\/5) assuming u is positive.\nAnswer: u**(158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 34.\nAnswer: -5\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*g - 242 - 2939 = 3059 for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/11)\/((y*y\/((y*y**(-5))\/y))\/y))**35*((y*y\/(y\/(y*y\/(y*y**5*y))))\/(y\/(y**(-2)\/y*y)))**(2\/7) assuming y is positive.\nAnswer: y**(-2402\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -601*s**3 - 6*s. Let z(o) = 3004*o**3 + 28*o. What is 14*i(v) + 3*z(v)?\nAnswer: 598*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 283305 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 12:18 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 9?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(18\/(-16)) + 128\/384. Suppose 1 = -2*j + 4*j - r, j + 1 = r. Solve -2*b + 4*b + j = z*o, 3*b + o + 3 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -2*y - 46, 2*k = 322*y + 116 + 162 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqt when four letters picked without replacement from {t: 3, q: 13}.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 88 + (22 - 37 - -25) + -1 + -1\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 3*g + 12*g)*(2*g**4 - 4*g**4 - g**4 + 1) + 6*g**5 - 3*g**5 + g**5 + 8*g**3 - 8*g**3 + 4*g**5 + (6 - 3 - 1)*(-g**5 + g**5 + g**5).\nAnswer: -20*g**5 + 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*s + 3 + 8 = 3*w + 94*s, -5*w = 2*s + 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29639.\nAnswer: 107, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 23 = -13. Suppose -i + 51 = 6*y. Solve r + y = 2*v, -v + 5*r - 17 = -7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*b + 68*b + 65*b + 66*b + 66*b + 64*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + j + 17, 31139 = -3*x - j + 31122 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*c**5*t - 6873167*c**3*t + 2*c**2*t + c**2 + c*t - 402359*c + t - 39 wrt c?\nAnswer: -420*c**2*t - 41239002*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708*c + 30783 = 84591 for c.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {u: 9, e: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3e2 + 6c8?\nAnswer: aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7754 = 3*k + 4*v - 5754, 3*k - 2*v = 13532. Does 124 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -97*q**3*z - 67*q**3 with respect to z.\nAnswer: -97*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -162170 (b) -1\/8 (c) 2 (d) 2\/7 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + ((-55)\/(-53) - 1). Let q = 57\/106 - b. Are 0 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 3554786?\nAnswer: 3554786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*f - 4*f. Let c(l) be the first derivative of l**2\/2 + 4*l - 1. Let j be c(f). Put -4\/5, j, -2\/5 in descending order.\nAnswer: j, -2\/5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8906 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -985*w + 26828. Calculate c(26).\nAnswer: 1218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 641*m + 259*m - 8.\nAnswer: 900*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 279329 + -279330.73993. Let y = 1.6401 + w. Let o = y - -0.1. Round o to 5 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**3*l + f**3 + 4*f*l + 67*l + 2 with respect to f.\nAnswer: -3*f**2*l + 3*f**2 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/18*(-2)\/(-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4 + 66\/(-15))*15\/(-6))\/(176\/64)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/9 + 848*j\/9 - 1120\/3 = 0. Calculate j.\nAnswer: 4, 420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**2 - 8140*c + 2759040 = 0 for c.\nAnswer: -1916, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 0.2. Which is the third smallest value? (a) -2\/5 (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p - p**4 - 3*p + 17*p**4 + 3*p**4 - 2*p**4 + (2*p - 5*p + 2*p)*(-2*p**3 + 2 - 2) + 3*p - p**4 - 3*p - 4*p**4 + 0*p**4 + 5*p**4.\nAnswer: 19*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -447, -887, -1331, -1779?\nAnswer: -2231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 9*y**2 + 8*y - 5. What is k(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*f + 48. Suppose i + g - 8 = 0, -5*i + 0 = -4*g - f. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/12)\/(18\/81)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x - 3. Suppose t - 2*t = -x. What is the highest common divisor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -55\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1996706326.62 from -11.\nAnswer: 1996706315.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - -2)*(-2)\/(-4). Let z(y) = 15*y - 12 - 4*y + 15*y**i - 14*y**2. Let p be z(-12). Solve 0 = 4*b + 4*u - 4, p*b + 3*u = b - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2487\/5 + 497. What is the nearest to -1\/8 in -5\/8, u, 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 108729912?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**5 - 2*y**4 - 124*y**3 + 8*y**2 + 480*y = 0.\nAnswer: -10, -2, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 4*d**2 + 3. Let n be r(-3). Suppose -n = -5*m + m. Suppose 4*k - 2*y = k + 200, 196 = m*k - y. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 64136, 64138, 64140, 64142?\n\"Answer: 2*b + 64134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 0.2, -1\/4, 69, -13.9?\nAnswer: -13.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfiil. What is prob of sequence fli?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/7 + 2613*k\/7 + 10404\/7.\nAnswer: 3*(k + 4)*(k + 867)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0230816 rounded to 3 dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - 7\/(84\/48).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -25*c + 3542. Suppose 3*l = 2*s - 861, 3*s + 4*l - c = 1156. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-4)*m)**19\/(m\/m**(-2\/7)*m*m\/(m*m**(-8))*m) assuming m is positive.\nAnswer: m**(-212\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 2\/633 (b) -457 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 12*p = -5*p. Suppose p = 5*f - 3*f + 60. Which is greater: -88\/3 or f?\nAnswer: -88\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**5 + 1531336*h**2*q + 30*h*q - 2*h - 25796*q wrt h?\nAnswer: 40*h**3 + 3062672*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.42 + 20.92. Let p = 19.095 - a. Round p to two decimal places.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6.352925 centuries?\nAnswer: 0.6352925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 465 + 357. Let h = -451 + o. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7469240 and 13700.\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1045 + -610. Suppose 33*y - x = 28*y. What is the smallest common multiple of y and 21?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 + 81. Let f be (b + 8)*(-2)\/3*-2. Sort f, -2, -9.\nAnswer: -9, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-78)\/(-1)*8\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35\/514 + 8651\/59110. What is the common denominator of d and -173\/30?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 15*f + 24. What is q(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/117 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*b + 294. Let t = 51 - b. Solve f = t*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 183 = 5*v, 230*n - 227*n = -3*v - 117 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8293 = 5*w - 667. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 0. Let f(m) = -2*m**2 - 2*m + 5. Let p(x) = x**2 + 3*x - 4. Let w(k) = j*p(k) + 2*f(k). List the prime factors of w(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5*i + 20715, -i = 10*f - 6*f - 16567. What are the prime factors of f?\nAnswer: 2, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -73*p - 39. What are the prime factors of j(-8)?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17449? (a) 1\/3 (b) 2\/11 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, p: 6, c: 4}. What is prob of picking 3 c?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**1)**2\/(v*v*v*v*v**(2\/9)\/v*v*v**5) assuming v is positive.\nAnswer: v**(-47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-30) - 17\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.05230278 rounded to three dps?\nAnswer: 1.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/235, 1, 1.5, -1, 5 in descending order.\nAnswer: 5, 1.5, 1, 2\/235, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 11*i**5 + 17*i**4 - 12*i**2 - 11*i - 5. Let c(g) = 5*g**5 + 8*g**4 - 6*g**2 - 5*g - 2. Let z(h) = -5*c(h) + 2*p(h). Factor z(v).\nAnswer: -3*v*(v - 1)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*t = -w + 112*t + 9, -t = 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - (-116462)\/(-180))*-51. Let q = 32840 - w. Find the common denominator of -2 + 0 + (96\/6)\/8 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -232*c*d + 247*c - 4*d - 7448 wrt c.\nAnswer: -232*d + 247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728) - sqrt(9)\/(sqrt(3) + sqrt(9)\/sqrt(3)) - (1*sqrt(432))\/(-2*sqrt(256)))**2.\nAnswer: 109443\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 3. Let a be q(-8). Suppose -44 = -a*y + 16. Suppose -5*l + y = -13. Solve l*k - 2 = 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (2 - 3) - (3 - 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p + 59 = -3*m, 4*m - 4*p + 84 = 0. Let g = 79.1372 + -78.8372. Which is the nearest to g? (a) m (b) 4 (c) -0.1 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.3, -42, 157?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98833 is divided by 32931.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + b + 1. Let i(k) = 5*k + 0*k - 10*k - 3*k**2 - 1 + 7*k. Let r(q) = -7*q**2 + 5*q - 2. Let z(d) = 9*i(d) - 4*r(d). What is 3*m(u) + 2*z(u)?\nAnswer: -u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163336858.\nAnswer: 2, 2311, 35339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 330?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**6 - 3998675*q**5*x**3 - 3*q**2*x**3 - 384*q**2*x + 155*q*x**3 + 2*q*x wrt q?\nAnswer: 120*q**3 - 239920500*q**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 931 and 665?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*u**4 + 278*u**3 - 126 wrt u?\nAnswer: -12*u**3 + 834*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*g**3*i**4 - 46*g**3*i + 7*g**2*i**2 + 971*i**5 + 2*i wrt i.\nAnswer: 96*g**3*i + 58260*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 17. Let n = 10 + -1. Let k = m + n. Solve -2 = -b + k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 5*k - 29, 5*n + 2161 = -4*k + 2171 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 34*i**2 + 36*i - 29. Let s be x(35). Suppose s*l - 202 = 2624. What are the prime factors of l?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/30495 and 191\/1970940.\nAnswer: 37447860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-30)*(-4 + 20\/4). What is the nearest to l in 0.4, 0.14, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 51*h - 3. Let c(x) = -101*x + 6. Let b(m) = -3*c(m) - 7*k(m). Let a be b(-2). Suppose 0 = 5*w + 204 + a. Round w to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -352 divided by -1\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190418 is divided by 7323.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggtg when four letters picked without replacement from axauuggxugtfgagtgu.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 26*m**2 - 39*m - 8. Let b(y) = 9*y**2 - 14*y - 3. Let r(i) = -17*b(i) + 6*w(i). Give r(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 141*v**2 - 8*v - 4. Let g(o) = 281*o**2 - 17*o - 8. Let u(z) = -2*g(z) + 5*r(z). Is u(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 29. Calculate the remainder when 5*g\/105 + 664\/28 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 12*s - 2*l + 7 = 0, -4*s = -12*l - 24 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5 = 4*f. Let w be 7 - -1 - (0 - f). Find the second derivative of a**5 + 2*a + 7*a**4 - w*a**4 wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 2*t - 2*t)*(0 + 0 + 5*t) - 1 + 1 + 2*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((40\/(-6))\/2)\/(4\/6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1740)\/(-42) - ((-6)\/1 + (-45604)\/(-6139))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 2*q**3 + 3)*(0*q + 4*q + 7*q).\nAnswer: -22*q**4 - 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -47*f**5\/10 - f**4\/24 + 245*f**3\/6 - 606*f**2. What is the second derivative of d(k) wrt k?\nAnswer: -564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + p = -4, d + 0*p = -4*p + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 7)\/(2 - 3). Suppose -4*z = m + 3*m + 15280016, j*z = 2*m - 11459992. Round z to the nearest 100000.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14389420, -28778855, -43168290, -57557725?\n\"Answer: -14389435*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -1 - 37\/15*a**6 + 0*a**4 - 42*a + 0*a**5 + 0*a**3 + 52*a**2. Differentiate p(v) wrt v.\nAnswer: -296*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10365, -10362, -10359?\nAnswer: -10356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18447 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 110, 55, -12, -97, -206?\n\"Answer: -y**3 - 48*y + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 174644 by 12.\nAnswer: 43661\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -436*a**5*x + 24*a**4*x + 4*a**3*n + 11*a**2*n*x - 3*a**2*n + 125*a**2*x - 11*x wrt a?\nAnswer: -26160*a**2*x + 576*a*x + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61 + -55. Suppose s = l - 50. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -420 (base 8) in base 5?\nAnswer: -2042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*((n\/(n*(n\/n**(4\/5))\/n))\/n)\/n*n)\/n)\/n*n)\/n**(4\/17)*(n*n**(7\/2))\/n*n**(12\/5)\/n assuming n is positive.\nAnswer: n**(759\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1293522 and 4392.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/96)\/(0 - 16\/24) + 11560\/75072?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1)\/(v\/(v*v**(3\/5)))*(v*v**0*v)**(-21\/4) assuming v is positive.\nAnswer: v**(-109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -29760 divided by 16\nAnswer: -1860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/9 bigger than -108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 884*t. Let c(h) = -12*h. Determine k(c(j)).\nAnswer: 288*j**2 + 10608*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*1116\/124\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(1458\/(-36)) - 399\/(-81)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-6)*12*33\/1980.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4483 and 3.2.\nAnswer: -14345.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 81 + -3?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 8:57 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 1738?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 414718*b*z**3 + 376*b*z**2 + 18*b*z + z**4 + 715*z**3 - 2*z**2 + 438*z wrt z.\nAnswer: 2488308*b + 24*z + 4290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -10. Let m = -19 + 12. Let q = -8 - m. Which is the smallest value? (a) o (b) 1\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -19*d**4\/24 - 5*d**3\/6 + 188*d**2. Calculate the remainder when h(-7) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1424 = -485*o + 396*o for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*o - 3*z + z, -5*o - 5*z - 30 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2299, -2028, -1759, -1492, -1227, -964?\nAnswer: -703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5854711 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/13 in -5, 0.4, 13.2, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c**2 + 16*c + 153. Determine q(-11).\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40130117 to the power of 1\/2, to the nearest integer?\nAnswer: 6335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/2970*11*10?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/396 and 79\/408276.\nAnswer: 408276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(2\/9))\/(r**(-2\/55)\/r) assuming r is positive.\nAnswer: r**(898\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + f - 4 + 2 = 0, 0 = z - 4*f - 10. Let v be (-4 + 0 + 3)*-3. Solve -z = -0*x + 2*x, 0 = -v*w + 4*x + 19 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 117 - 114. Suppose 0 = -3*p + 18 - b. Suppose -32 = -p*h - 7. Calculate the greatest common divisor of 70 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**3\/3 + t. Suppose 4*v = -1 - 3. Let z(c) = c**2. Let x(j) = -j**2. Let q(f) = v*z(f) - 2*x(f). What is q(p(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -2. Let n = 9 - b. Let g = 0 + 4. What is the remainder when n is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -32 (b) 0.01 (c) 9.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(12\/(-288))\/(315\/(-120))?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-1 - -1 - -17). Let b be (-3)\/(-9) - d\/6. Solve -b = -t + 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28091 divided by 40\nAnswer: 28091\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*x - 76*x - 132. Suppose 59*k = x*k + 1020. What is the least common multiple of k and 20?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(912)\/sqrt(3)*-2 - (sqrt(76)\/sqrt(4)*-4 - (sqrt(95) + 2*sqrt(95) - sqrt(95))\/sqrt(5)))*3 + 4.\nAnswer: -18*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.2 * -255086.3.\nAnswer: 816276.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 9:49 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -111.86\nAnswer: -447.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93 - -88. Suppose 0 = 5*i - 15 - 5. Let g be (-8)\/3 + i + -1. Which is the nearest to -1? (a) o (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18732.999981535 + 18733. Round n to 6 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 + 16*j**3 + 30 + 0*j**2 + 2*j**2 in the form t*j**3 + v*j + b + y*j**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1389 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2160 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 11*v**2 + 4*v + 12. Let x(c) = -c**3 - c**2 + 1. Let a(l) = -d(l) + 2*x(l). Let h be ((-12)\/(-10))\/(6\/40). Does 22 divide a(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 69 = -t + 5*t, -2*g + 66 = 4*t for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1.77, 4, -79\/3, -0.1.\nAnswer: -79\/3, -1.77, -0.1, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 29*l - 211. What is i(13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(2\/((-12)\/(-9)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -161, -162, -163, -164, -165?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/400*10\/(-6)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 + 3*p + 7. Let f be n(8). Let c = -88 - f. Let g(m) = -4 + 16*m + 13 - c. Let x(h) = -3*h**2. Calculate x(g(v)).\nAnswer: -768*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52848 and 819144.\nAnswer: 1638288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-301*x + 142 - 142)*((-1 - 2 + 4)*(-x + 4*x - 2*x) - 5*x + 4*x + 2*x).\nAnswer: -602*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = c - 1, -2*c = -2*m + 4. Suppose -2*r + 2*z + 2 = -5*r, m = -4*r - 2*z. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/7, -5\/4, 0.2, -2\/247?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -797\/52953 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10486561, -10486557, -10486553, -10486549?\n\"Answer: 4*c - 10486565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25757013, -25757012, -25757001, -25756974, -25756925?\n\"Answer: t**3 - t**2 - 3*t - 25757010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21000 + -12122101200100?\nAnswer: -12122101221100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3 = -3*o + 4, -4*o = -2*n + 16. Is 34 - (o - 0\/1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*d + 19. Let l(h) = h**3 + 3*h**2 - 3*h - 2. Let c be l(2). Suppose c = -3*b + 231. Calculate the remainder when b is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, z: 3, e: 3, b: 4, f: 7}. What is prob of picking 1 g and 1 e?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -4*r - 15. Solve 2*w**4 - 16*w**r + 3*w**5 - 27*w**2 + 35*w**2 + 3*w**5 = 0 for w.\nAnswer: -2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 16) in base 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69\/28 + -12\/7. Let a = 0.152 + 8.148. Let k = a - 8. Sort r, k, -3\/5 in descending order.\nAnswer: r, k, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4654418 from -0.05.\nAnswer: -4654418.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10430493.\nAnswer: 3, 67, 51893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 63 = -z. Let q = -109 - z. What is the smallest value in -2\/17, 0.2, 0.06, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 1)*((-4*i - 2*i + 4*i)*(-1 + 1 - 2*i) - 46*i**2 - 24*i - 1 - 62*i**2 + 106*i**2) to d + b*i**2 + c*i and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 5 = -z. Let l = z + -11. Solve f - 1 - 2 = l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*f - 14 = 0, 90*j + 6 = 92*j + f. Let t(w) = 51*w**2 + 10*w + 3. What is the smallest common multiple of t(-3) and j?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143737 is divided by 1045?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-81)\/2160*2\/3\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2167290 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102 - -97. Let h = 9.8 + -11. Let r = -1 - h. What is the second smallest value in r, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546513.2 millilitres in litres?\nAnswer: 546.5132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/4 + 36\/(-16) + 2. Let x(v) = -93*v**2 + v + 5. Let c(p) = -23*p**2 + 1. Let k(r) = -9*c(r) + 2*x(r). What are the prime factors of k(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -237 - -236. Which is the nearest to -0.35? (a) l (b) 1 (c) 0.4 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1006655 and 0.\nAnswer: 1006655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/10 and -19\/696185.\nAnswer: 1392370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -798 + 5*d**2 + 798.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5376.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 37 = 103. Let a be (-12)\/(-18) - g\/6. Let o = a + -14. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.5*-4.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 18) + (53 - 43)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*i**4 + i**3 - 2*i - 63 wrt i?\nAnswer: 456*i**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1214*x**2 - 19*x**3 + 1214*x**2.\nAnswer: -19*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 7:34 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -188, -299, -410, -521, -632?\n\"Answer: -111*c - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 - 22*b**3 + 169*b**2 - 528*b + 576.\nAnswer: (b - 8)**2*(b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 62. Let i = j + -50.9927. Round i to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 219373 = r + 15391, 3*w + 2*r = 176073. What are the prime factors of w?\nAnswer: 19, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 34. Is m < 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55545 divided by 483\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4)\/b**(-2\/23) assuming b is positive.\nAnswer: b**(-90\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7662*d**2*z**3 - 5*d**2*z**2 + 25*z**2 - 4*z wrt z?\nAnswer: -45972*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6*209\/(-396))\/(-1) and -131\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 98*n. Let c(x) = 11*x. Let h be (-415)\/(-15) + (-8)\/(-24). Give h*c(o) - 3*j(o).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2854, -5737, -8604, -11449, -14266?\n\"Answer: w**3 + 2*w**2 - 2896*w + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 3 = -0*f - z, -3*f = 4*z - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 303041\/365100 - (-16)\/(-200) - 3\/4. Is -1 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - c766c?\nAnswer: -c7662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2. Suppose s - 178 = 5*p + 3*s, 94 = -3*p + 2*s. Let k = p - -41. Let l(x) = 19*x - k*x - 5*x. Give l(n(r)).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 4*s**2 + 2*s + 4. Let j be x(3). Let d be (j - 0\/(-4))*588. Suppose -3*p = 105 - d. Is 23 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - f + 1)*(388 - 388 - 20*f**2) to q*f**3 + n*f + s + t*f**2 and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - -46) + -3 + 1 - (-11 + 3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -170.37 and -8?\nAnswer: 162.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qid when three letters picked without replacement from qcccqzccqdqcidqc.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**4\/24 + 159*o**2 + o. Let v(h) = 348*h**2. Determine a(v(q)).\nAnswer: -348*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*d + 327, 4*d + 4*u - 480 = -36. Let g = 7 - -3. What is the highest common divisor of d and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2344247737 and 6.\nAnswer: 2344247743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 7*i - 179 = 197*v + 52*v + 72, -2 = -i + 4*v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**4\/12 - 3*q**3 + 8*q**2. What is the remainder when 22 is divided by o(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -4. What is the second derivative of p**4 + p**h - 8*p + 6*p wrt p?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (12 - (42\/(-28) - -12) - (-195)\/(-6)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(6\/4)\/(729\/810). Solve 0 = 8*i - 13*i + f*s + 5, -9 = -i + 3*s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 4:14 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 4409*r**2 - 222942*r + 347. Calculate b(-50).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - d + 1 = 0, 2*d = 5*n + 5*d - 7. Suppose 5*y + 39 = 2*w, -34 = -2*w + 2*y + n. What is the remainder when 67 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 0*i**2 - 5\/6*i**6 + 13*i + 0*i**4 + 0*i**5 + 0 + 1\/3*i**3. Find the second derivative of g(q) wrt q.\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.37 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttt. What is prob of picking 2 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 238 + -236. Let n(j) = 2365 - 1181 - 1184 + 2*j**g. Let q(m) = -3*m + 4. Determine q(n(a)).\nAnswer: -6*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -102, -138, -210, -330, -510, -762, -1098, -1530?\n\"Answer: -2*a**3 - 6*a**2 - 4*a - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 889451021?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1122\/427 or -2.9?\nAnswer: -1122\/427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11122000101 - 0?\nAnswer: -11122000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8903295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 8. Solve -n = -8*p + 12*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**5\/5 + 17*h**4\/5 - 38*h**3\/5 - 64*h**2 + 672*h\/5 = 0.\nAnswer: -4, 0, 2, 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 10) to base 5\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 5*n + 3*n + 6*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nzzuuzzznuzwn. What is prob of picking 3 u?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 22*p + 21. Let o be n(14). Let q = -99 - o. Are -11 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a = -85. What is the remainder when 67 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 76 = 6*i. Suppose -3*q + a = -16 - 72, 3*a + 148 = 5*q. Let x = i + q. Calculate the greatest common divisor of 70 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*t = 178 - 1269 - 86 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2271.33401518 less than -1155?\nAnswer: -3426.33401518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(1\/3)\/h)**(-38)\/(h\/(h*h**2*h)*h**(1\/6)*h))\/(((h\/(h**(-4)*h*h))\/(h\/(h**(-1\/4)*h)))\/(h**(-2\/5)*h)**(14\/9)) assuming h is positive.\nAnswer: h**(-1013\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j = 14*j + 12. Let o = -10 + 28. Calculate the greatest common factor of j and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266998824 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.45 + 15.9. Let h = l + 1.45. Which is the nearest to h? (a) -1\/11 (b) 0 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 902806?\nAnswer: 2, 587, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 25*d - 20. Does 35 divide m(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 9. Suppose 3 = -c + 5. Suppose -c*n + 9 = -13. Calculate the smallest common multiple of n and l(0).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 2. Let k(q) = 23*q + 1. Let y be k(b). Does 21 divide (-955)\/y + (-4)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 9) to base 16.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - l = -0*l - 12, 0 = 2*m + 5*l + 5. Suppose -m*o + 4 = -4*o. Solve -2*t - 5 - 2 = -3*f, o*t + 3*f - 13 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38.517 - 0.641. What is j rounded to one decimal place?\nAnswer: -39.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c + 1 + 4*c + c**2. Let b = -1 + 7. Let n = -8 + b. Give h(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 533964 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 2*q - 44, -3*q + 85 = -4*i + 134 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from {h: 1, x: 2, r: 3, c: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1\/6 (b) 4 (c) -2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6778, -6744, -6658, -6496, -6234, -5848, -5314, -4608?\nAnswer: -3706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -9*v + 11*v. Let u be ((-1 - 1) + v)*7. Solve -k - 3*a - u = -0*k, 5*a + 15 = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f**5*r**2 - 21255*f**5 + 2*f**2*r**2 + 5*f**2 + r**2 + 3563 wrt f.\nAnswer: -300*f**2*r**2 - 1275300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 170*g**3 - 170*g + 170. Let j(n) = n - 1. Calculate 170*j(a) + l(a).\nAnswer: 170*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 11:08 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 15*x = -63 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = -41*t + 139*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 126, 140, 154?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -139462 - -139462.185254. Let a = 0.15617 - j. Let v = a + 0.029. Round v to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4. Suppose -4*i + i - 30 = -3*y, s*i = -4*y - 37. Let c = 24 + i. What is the greatest common factor of 39 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1381 = 8*a - 1115. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95592 + -60360. Suppose -3*v - 110232 = -k. What is v rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 - -8. Factor -23*f + 9*f + p*f - 18 + 6 - 4*f**2.\nAnswer: -(f - 12)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 408\/45 - (-43 + 52).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a - 5*a + 0*a)*(142*a**2 + 58*a**2 + 70*a**3 - 72*a**3) to u*a + b*a**2 + l + r*a**3 + m*a**4 and give r.\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 + 5*q**2 - 20*q + 12. Give x(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33\/6 - (-1)\/(-2). Let o(c) = -c**2 - 9*c + 114. Let q be o(7). Suppose 0 = -q*m + 2*s + 316, -t*m + 894 - 84 = -s. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 961832 (base 11) in base 4?\nAnswer: 11313320313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 12001?\nAnswer: 11330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32502*j = 32499*j + 42 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 768330 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 12:07 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -101011011 (base 2) to base 13\nAnswer: -209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, j: 1, r: 3, x: 10}. What is prob of picking 1 b and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4062193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i**3*m**2 + 13*i**3*m - 68263*i**3 - 10*i**2*m + 2*i*m**3 + 221539*i*m**2 wrt m.\nAnswer: 8*i**3 + 12*i*m + 443078*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131114128, 262228257, 393342386, 524456515, 655570644?\nAnswer: 786684773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3329.\nAnswer: 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 - -96. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2888, 2893, 2896, 2897, 2896, 2893?\nAnswer: 2888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**4 - 20496040*b**3 - 26255355503572*b**2 + 315066479618640*b - 945201652433424 = 0.\nAnswer: -2562011, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 5. Let j be u(-5). Suppose j = -4*y + 7*y - 36. Let g be -6 - 16*(-18)\/12. Calculate the greatest common divisor of g and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8770.6704 - -8766. What is w rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 310224 = -1018*m + 1014*m, 387825 = 5*m - c. Is m a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.25 + -0.25. Let h = 0.5 + q. Put h, 3\/7, -0.2 in increasing order.\nAnswer: h, -0.2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/11680627?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(3456))\/(sqrt(1400)\/sqrt(7)))**2.\nAnswer: 3888\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298359 is divided by 1530?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*p = -66 - 9, 3*p + 114 = -5*t. What are the prime factors of (t\/(-14))\/(6\/32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 204431 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7334 + -18?\nAnswer: 7317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4 + sqrt(1008)*-2 + (3*sqrt(1008) + sqrt(1008) - sqrt(1008)) + 2)**2 + (5*(-1 + sqrt(1008)) - ((4*3*sqrt(1008))**2 - sqrt(1008))) + 4.\nAnswer: -144111 + 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 14, -8, -7 in increasing order.\nAnswer: -8, -7, 1\/2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/91 and -56\/141?\nAnswer: 12831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*t = 2, 4*y + 3*t = -2 - 21. Which is the closest to 2? (a) -1\/9 (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 149, -3, -5, 4 in descending order.\nAnswer: 149, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j + 4. Suppose -7*w + 1908 = 5*w. Let a(s) = -82 - 66 - 8*s + w - 9*s. Give 4*a(g) - 11*o(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(4\/3)*j*j**(13\/4))**(5\/18) assuming j is positive.\nAnswer: j**(295\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2\/709, -3, -3\/7, -5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-10) + (-3)\/5. Suppose q = 4*h - 2 + 6. Put 5, -3, h in ascending order.\nAnswer: -3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z - 597*z**4 - 367*z**4 - 7 + 7*z - 1304*z**4 + 9 as q*z + n*z**2 + d + r*z**4 + m*z**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/17 (b) 0.16 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 13. Suppose -5*v + u*z - 6 = -0, -2*z + 4 = 0. Let s = 57 - 46. Solve -n + 3*r + 17 = v, 35 = 2*n - 4*r + s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 752, 3096, 7052, 12632, 19848?\nAnswer: 28712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 0 + 0*i - 1\/84*i**8 + 2\/105*i**7 + 1\/15*i**6 - 12*i**2 - 1\/6*i**4 + 2\/3*i**3 - 2\/15*i**5. Factor x(s).\nAnswer: -4*(s - 1)**3*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlqglqq. Give prob of picking 1 l and 1 q.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 5*x + 9\/2*x**2 - x**3 + 0 + 1\/12*x**4. Let l(y) = 0. What is y?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k**12))\/k**18 assuming k is positive.\nAnswer: k**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2161 (b) 0.3 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**2 - 27*q + 5. Let l be o(9). Let s(a) = -2*a**2 + 10*a - 1. Let p(n) = -n**2 + 5*n. Let c(x) = -5*p(x) + 2*s(x). Give c(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 9*y. Let i(q) = 5*q. Give -4*c(t) + 9*i(t).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 7:16 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**4 + 176*r**3 - 2156*r**2 + 6640*r - 6000 = 0.\nAnswer: 2, 15, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 2*c**2. Let b be u(2). Suppose s - 4*d + 3*d - 194 = b, -d = -5*s + 958. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -24. Suppose 12 = w + d*w. Which is the second biggest value? (a) w (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.350401 less than 0.22?\nAnswer: 0.570401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 16710685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 278.8 - 280.8. What is the closest to 50 in z, 0, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167444346?\nAnswer: 2, 3, 27907391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/((x*x**(-2))\/x*x))**(-22)\/(x*x**(-2\/5)*x)**(4\/9) assuming x is positive.\nAnswer: x**(-3002\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1323 and 378.\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 544346 + -263509. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(-23))\/(61\/(-1403))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 11*j - 24 = 0. Let a be (2 + j)*2 - -1. Let c be a*3\/9 - 4. Sort c, 0, -4 in descending order.\nAnswer: 0, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 12*w - 3*w)*((2*w - 2*w - w)*(2*w + 1 - 1) + 15*w**2 - 18*w**2 - 8*w**2 + 1 + 27*w**2 + 2*w - 5*w - 29*w**2).\nAnswer: 210*w**3 + 42*w**2 - 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.54 - -40.54. Let w = 39.999973 - h. Round w to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 8235.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 380\/(-38)*(-96)\/(-24)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34144 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -46, -82, -170, -334, -598, -986, -1522?\n\"Answer: -4*x**3 - 2*x**2 - 2*x - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10 - 3 - 24\/(-6). Is 3\/(r\/642)*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2257576 and 1298?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 0 - (-13 + 7). Let s(d) = h - 4 + 3*d. Let o(n) = -5*n. Give -4*o(j) - 7*s(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 585547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = 5*p - 10*p. Suppose 5*x + 39 = y, 0 = -2*y + 2*x + 3*x + p. Which is the nearest to y? (a) 2\/5 (b) 0.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 8:03 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 1. Let g(q) = -23*q**3 - 2*q**2 + 4. What is -g(u) - 4*t(u)?\nAnswer: 23*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - 1113233221?\nAnswer: -1113233200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 8*b + 22. Suppose 2*f - 26 = -b. Sort 10, f, 0 in ascending order.\nAnswer: 0, f, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3541, -3545, -3551, -3559?\n\"Answer: -s**2 - s - 3539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*o + 17 - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -103611 + 73611. What is r rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 2*f - 19 = 0, -q = 2*q - 5*f - 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/11 - 1003*u**2\/11 + 5991*u\/11 - 8973\/11.\nAnswer: (u - 997)*(u - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.001568 * -3.\nAnswer: -0.004704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 5*k - 6. Let y be 5 + -5 + 4 + 2. What is d(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/171 and 74\/87.\nAnswer: 4959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8599.4 - 8541.363. Let a = -133 + 191. Let f = r - a. What is f rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 3 (c) -1\/7 (d) -8.3 (e) -1 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**5\/60 - 5*b**2. Let c(v) = -8*v. Give c(a(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153919567?\nAnswer: 233, 660599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (121 + 101*o - 121)*(-2 - 6 + 5).\nAnswer: -303*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -21958.3\nAnswer: -658.749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/7)*q*q*q*(q*q*q*q*q*(q\/q**(-2\/3))\/q)\/q*(q\/q**(-1))**26*(q*q*q*q**(-1\/2)*q*q**(3\/2)*q)\/(q*q*q**(-1)*q**(1\/10)) assuming q is positive.\nAnswer: q**(13499\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 7. Determine k(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 8*d - 3. Let c = -3 - 4. What is the smallest common multiple of 14 and a(c)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 15*h + 71. Let a(s) = -8*s - 35. What is 7*a(f) + 4*o(f)?\nAnswer: 4*f + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.6 * 141276.8.\nAnswer: 1356257.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -111 - -42. Let r be (-94)\/(-16)*5\/(35\/84). Let u = n + r. Which is the closest to -2\/3? (a) 6 (b) -3\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*s = -m, 0 = 4*m. Let c be (s - (-8)\/(-6))*-6. Calculate the greatest common factor of c and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00054867 to six dps.\nAnswer: -0.000549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 11:33 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0025945 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123.1 - -135. Let a = -12 + s. Which is smaller: 0.1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**2 - 2*w + 65*w**2 + 2*w.\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2)*(t\/t**(2\/5))\/t*(t\/(t*t\/(t\/(t**(-6)\/t))*t))\/t**(5\/2))**(28\/5) assuming t is positive.\nAnswer: t**(504\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28890.\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2193657021 < -2193657022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(4\/(-34)))\/((1800\/144)\/25)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*r + 1274 + 30030 = 176*r - 758 for r.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l**3 - 8*l**2 + 13*l + 3. Let a(c) = -c**3 - c - 1. Let i(y) = 6*a(y) + m(y). What is i(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 4*u**2 + u - 3. Let n(k) = -k + 14. Let z be n(9). Let o be c(z). Calculate the remainder when 8 is divided by (-3)\/(o\/15)*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64847569379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*(sqrt(30)\/(sqrt(6)*2) - ((sqrt(110)\/sqrt(2))\/sqrt(11))**2) + 1.\nAnswer: -3*sqrt(5) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1, 3, 5, 1\/120?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/(-4 + (-26)\/(-6)). Let d = z - -41. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14 - (15\/(-5) + 3). Suppose s - 12 = 5*s, 2*d = 2*s + l. Solve 2*h + d = -4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**4 - 3*n**2 + n**2 - 4*n**4 + n**3 - 2*n to x + f*n**3 + p*n**2 + j*n**4 + i*n and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z + 6 - 6 + (-15 + 0 + 0)*(-2*z - 1 + 1).\nAnswer: 27*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1489.2+-34.582\nAnswer: 1454.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*w + c + 3, -5*w - 2*c + 6 = 0. Suppose 2*n - 15 - 1 = w. Calculate the remainder when 21 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -320 - -299 - (-1 + -1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-75)\/(-2) + (-2 - (-10)\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-16)\/1496*-11 + (-35)\/(-425))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 6034 - 1966 = 0. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60439, -120880, -181321, -241762, -302203?\nAnswer: -362644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c**3 - c**4 - 5 + 3*c**3 + 1 + 1 to the form u*c**3 + o*c + i*c**4 + m + z*c**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 49. Let p = -6 - -4. Let u = p + n. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z - 6. Let l be c(-4). Let u(o) = -o. Let v = -28 - -39. Let f(k) be the first derivative of 5*k**2\/2 + k + 235. What is l*f(g) + v*u(g)?\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/10 - 226*z**2\/5.\nAnswer: z**2*(z - 452)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 26 - 72 = 0. Let a(j) = -23*j - 2. Suppose 0*r + 3*m = 5*r + 34, -3*r - m - 12 = 0. What is the remainder when a(r) is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b - 2*b**2 - 2177 - 6*b - 1833 + 4010.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0193027502 rounded to five dps?\nAnswer: 0.0193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74746 - 45662. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**3 - 4*u - 54. Determine l(0).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103 + -95. Suppose 13*j - c*j = -45. Let q(a) = a**3 + 9*a**2 - 14*a - 6. What are the prime factors of q(j)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(-48)\/72*3\/4. Suppose -b + 8 = -3*b. Let f be (-6)\/(0 - -2) - b. Sort o, -3, f, 5 in ascending order.\nAnswer: -3, f, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - -5*-2*sqrt(252) - sqrt(252))\/(sqrt(4) + (4*sqrt(576) - sqrt(576))))**2.\nAnswer: 6300\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 195 - 42. Suppose -4*b - 5*l = 29 - 152, -4*b + l + s = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + (0 - 2)\/(-8))*(-44)\/165. Let r - 2\/5*s + 1\/5*s**2 = 0. Calculate s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -6. Let x = -15 + 18. Suppose -3 = -x*k, -t + 0*t + 4*k + 21 = 0. What is the greatest common divisor of t and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -711 divided by -7\nAnswer: 711\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 380 divide 895449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16088994 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5136\/(-1498)*(-14)\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 511*j**2 - 28024*j + 14571. Calculate a(-561).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5037 take away -0.5?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-6)*p*p**(1\/4)\/p)**(-19))**(2\/121) assuming p is positive.\nAnswer: p**(-551\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**8\/336 + 11*q**7\/168 + q**6\/4 + q**3\/6 + 93*q**2\/2 + 107*q. Let x(t) be the second derivative of b(t). Factor x(i).\nAnswer: 5*i**2*(i + 2)*(i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 68903 = 3*x, 2*x + 6*z - z + 45931 = 0. Let k be 4\/(-10) + x\/(-45). Is (14\/(-3))\/((-20)\/k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 929*n - 931*n = -d + 31, 5*n - d = -85 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*o**4 + 9 - 9 + (5 + o**3 - 5)*(-1 - o + 1) - 7*o + o + 4*o**4 + 7*o to l*o**3 + x*o**2 + i*o + z*o**4 + d and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 54 + 3 + -2 + (-1 - (-20 + 16 - -11))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 5\/(-150)*146?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 208, 313, 418, 523?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-30) - -1)*(-20 + 22)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5 + 2)*(18*c**2 + 198 - 198).\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 0*o**5 - o**4 + 0*o**7 + 0*o**3 + 0 + 0*o**2 + 5\/7*o**8 + 29*o + 0*o**6. What is the third derivative of d(l) wrt l?\nAnswer: 4800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/15 + 98684*c\/3 + 6086582410\/3.\nAnswer: 2*(c + 123355)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1855551687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 129033000 rounded to the nearest 1000000?\nAnswer: 129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(720)).\nAnswer: 5 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 120*i + 28*i + 46*i + 13774 for i.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 847 + -846.5. Which is the smallest value? (a) 4 (b) 0.02 (c) 1 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1367 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 + (-665)\/110)*(-12)\/6. Which is smaller: h or 4\/23?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-212)\/(-44) + 16\/88. Find the second derivative of y**5 + 5*y + 9*y**5 + 23*y - 2*y**r wrt y.\nAnswer: 160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = 0, 3*f + 221 = 5*m + 245. Let i(s) = -s**3 + 7*s**2 - 5*s + 8. Let y be i(6). Suppose -f*r - 15 = -y*r. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.8 in 4, -3\/2, -5, 0.06, 340?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-7)\/r*r**7*r**(-1\/4)*r**(-4\/9)*r assuming r is positive.\nAnswer: r**(11\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from xtmxmsxumxs?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5084 = z - 5*m + 523, -4*m - 4 = 0. Suppose -12*g + 16*g + 3652 = 4*h, 5*h - 2*g = z. Is 91 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286133.\nAnswer: 101, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2474 and 201.\nAnswer: -2273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/9)*l)\/(l\/((l\/((l**(-4)\/l*l*l)\/l*l)*l)\/l)))**(-3\/14)\/(l**2*l*l**(4\/7)*l**4*l*l*l*l**(-5)*l*l) assuming l is positive.\nAnswer: l**(-353\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69151?\nAnswer: 69151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 446 = 5*r + 161. Let z = 59 + r. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -17, 4, -4\/5, -16, 1.3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 10:53 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9088002 and 630?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.68913 minutes to nanoseconds.\nAnswer: 2681347800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4810 and 0.2?\nAnswer: 4810.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**3 - 12*c**2 - 9*c - 3. List the prime factors of m(6).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -77?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*c + 5703 + 1771 = -1736 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -309.91 - -310. Put c, -6\/5, 0.3 in decreasing order.\nAnswer: 0.3, c, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(165)*2 - sqrt(165)))\/(2*sqrt(243) + sqrt(3)))\/((6*sqrt(495))\/(sqrt(275) - (2*sqrt(275) + sqrt(275)))))**2.\nAnswer: 1100\/29241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -444 - -506. Let r = 80 - x. Calculate the highest common factor of 138 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 919743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 8*d**2 - 8*d + 8. Suppose 23*f - 9*f = 98. Give m(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 147*y + 5111. Let l be r(29). Solve -2*b + 20 = 4*g, l*g - 3*b - 10 = 5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2. Let z(b) = -40136*b**2 - 2639*b. Let a(d) = -427*d**2 - 28*d. Let f(s) = 1131*a(s) - 12*z(s). Give f(m(r)).\nAnswer: -5220*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.01 or 532\/527?\nAnswer: 532\/527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 9*t + t - 3*t - 7. Let a(l) be the second derivative of -l**3\/2 + 3*l**2\/2 - 2*l. Let d = 6 - 10. Give d*n(x) - 9*a(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*-1963.744\nAnswer: 117.82464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -1. Let c(x) = 3*x - x + 3 - 4 - 5. Suppose 5*s - 2*y + 5 = -0*y, 0 = 4*y. Suppose 0 = -a + 2*h + 6, 3*h + 4 + 2 = a. Determine a*b(f) + s*c(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 13364574*o - o**2 + 106*o**3 - 13364574*o + 4 in the form u + c*o**2 + d*o + l*o**3 and give l.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**12)**(3\/25) assuming l is positive.\nAnswer: l**(39\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -355135 (base 12) to base 4.\nAnswer: -3101231321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -127 + 129 + -1 + -1 + -649630. Round m to the nearest ten thousand.\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + f**2 + 2*f)*(527*f - 14462 + 14462)*((-f + 0 + 0)*(-2 + 0 - 1) - 2*f + 4*f - 3*f) as u*f**4 + a*f**2 + j*f**3 + d + i*f and give u.\nAnswer: 1054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 - -106\/3. Let b = -8\/21 - -286\/861. Is b <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 4*q**2 - 6*q + 3. Let g be b(5). Let i be (g + 3)\/(1\/2). What is the first derivative of -i + 2*n - 2 + 2 wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + -4. Suppose -130 - 374 = -24*s. What is the lowest common multiple of (-31)\/(-7) - s\/49 and z?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 100*o + 1720. Is 125 a factor of r(55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 15 + (2 - 5) + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 8 + 0)*(0 + 0 + 4*c) + 0*c - c - 2*c.\nAnswer: 41*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 75787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -2119*f**5\/5 - 730*f**3 + 530. What is the third derivative of s(p) wrt p?\nAnswer: -50856*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 36. Calculate the remainder when (-3 + 7)\/(-1) - (-2 - 20) is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6815 and 2296890?\nAnswer: 66609810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 171519.682 and 0.06.\nAnswer: 10291.18092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -68965 divided by -5\nAnswer: 13793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12, -16, -20?\n\"Answer: -4*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63*f**2*n**2 - f**2*n - 2*f*n*p**2 - 2*f*n - 6*n**2*p**2 + 7*n*p wrt n.\nAnswer: 126*f**2 - 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*((h\/(h\/(h\/(h*h\/(h**3*h*h*h*h))*h)))\/h)\/h)**(-33)*(h\/(h\/((h\/(h*h**(2\/11)*h))\/h)))**(-10\/3))**(-47))**(-20) assuming h is positive.\nAnswer: h**(-1972120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezee when four letters picked without replacement from zezzzzzzzeez?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(1*sqrt(1089)).\nAnswer: sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**5\/5 - 596*w**4\/5 - 8507*w**3\/5 - 20134*w**2\/5 + 2396*w\/5 + 5368 = 0.\nAnswer: -11, -2, 1, 610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*p**5 - 7*p - 156*p**4 + 3*p + 156*p**4 wrt p?\nAnswer: 100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*g**3 + 665*g**2*k - 2*g*k + 2*g - 2*k - 40 wrt g.\nAnswer: -114*g + 1330*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 3 + 7)*(1 - 3*n**3 + 0*n**3 + 5*n**3).\nAnswer: -54*n**3 - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4084, -6, -5, -0.4, -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + m + 26. Let q be o(0). Let j be ((-3249)\/19)\/((-3)\/2). Suppose 111*p + 390 = j*p. What is the highest common factor of q and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 497 + -286. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1178*w - 85. Let t(y) = -1179*y + 64. Give -3*a(c) - 4*t(c).\nAnswer: 1182*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 65 - 73. Put -4, -2, m, -50 in decreasing order.\nAnswer: m, -2, -4, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33716*j**2 + 33714*j**2 + 33711*j**2 + 33712*j**2 - 202277*j**2 + 33712*j**2 + 33720*j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021235 (base 11) to base 2.\nAnswer: 110111000000011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**2\/3 + 1841*m\/3 + 108580\/3 = 0.\nAnswer: -1780, -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/12)\/(12\/8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**5\/60 + 13*s**3\/6 + s. Let t(k) be the second derivative of y(k). Let r(o) = 3*o**2. Determine t(r(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -221 - -236. Solve 3*u = -s + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11150*j**6 + 6*j**4 + 600*j**2 + 100*j?\nAnswer: 1338000*j**3 + 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116.67 + 116.47. Which is bigger: 160\/43 or s?\nAnswer: 160\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 4 - 2*h**2 + h**2 + (2*h + 0 + 0)*(6*h - 4*h + 0*h) as l*h**2 + r + o*h and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from {t: 4, b: 7, w: 6}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/350 and 41\/70?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/92 and 27\/124.\nAnswer: 2852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119587797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19122 = 12*i - 6*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2616 divided by -6?\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 - 11*j**2 + 5*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 76330607*n\/3 - 76330598\/3.\nAnswer: -(n - 1)*(9*n - 76330598)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3*v**2 + 13*g**3 + 6758*g**2*v**2 - 3525*g**2*v wrt v?\nAnswer: -4*g**3 + 13516*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 167345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*t**4 + 13*t**4 - 7*t**4)*(3*t + 24*t - 4*t).\nAnswer: 368*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from zzzizzzzzwzmi.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105 + -99. Let y(d) = 182*d - c*d**3 - 91*d - 82*d - 3. Does 41 divide y(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -174 - -173.99997996. Round i to 7 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0597 to 3 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b - 5. Let d(n) = -n**3 - n**2 - n. Let s be d(0). Suppose -5*i - 2*r = -270, -2*r - 8 - 2 = s. Calculate the remainder when i is divided by v(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6.8 (b) 2\/7 (c) 0.087 (d) -1 (e) 12 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**7*j)\/j)\/j)\/j*j*j**(-3)\/j*j**(-20\/7)\/j*j\/j**(-1\/4)*j assuming j is positive.\nAnswer: j**(-353\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 183 = 2*j - 10*k, -4*k = 2*j - 192. What is the remainder when 266 is divided by j?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190333711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 315848?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.43 - 61.13. Let c = r - -58. What is c rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4564834?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 64871063, 129742127, 194613191, 259484255?\n\"Answer: 64871064*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 8*o. Let a(r) = -611*r**2. What is j(a(f))?\nAnswer: -4888*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fr when two letters picked without replacement from {r: 5, f: 2, j: 6}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*o - 246 + 6. Solve d - 10 = -o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 114 and 3.\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 2\/7 (c) -416 (d) 0 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**7\/2520 - f**6\/80 + f**5\/18 - 4*f**2 + 2*f + 168. Factor p(i).\nAnswer: -i**2*(i - 2)*(i + 20)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6 - 2 = 0. Solve 3*b + u = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 4*z**3\/3 + 3*z**2 + 2. Let a(q) = -7*q**2 - 11*q. Let g(o) = 6*a(o) + 11*h(o). Let j(p) = 42*p. What is j(g(i))?\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2581, 3951, 5295, 6601, 7857, 9051, 10171?\nAnswer: 11205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2356, 4879, 7440, 10057, 12748, 15531, 18424, 21445?\nAnswer: 24612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 - s**2 + 0*s**2 + (4 - 2 + 1)*(31*s**2 + 53*s - 53*s) + s**2 - 4*s**2 - s**2.\nAnswer: 87*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 8*i**2 - 9*i + 19. Let z be r(-6). Let s(d) = d + 1. Let p(o) = -5*o - 3. Determine z*p(h) + 6*s(h).\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -10 + 5 + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 3288.\nAnswer: 16440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 4*l**2 + 23*l + 104. Let c be h(-6). Suppose 6965 = -c*r + 43*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 4010*u + 66725.\nAnswer: 5*(u - 785)*(u - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10920264.\nAnswer: 2, 3, 455011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - 8*f + 10*f + 3*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -269 - 222 + 491 + 11*d. Let w(s) = -5*s**2. Let b(x) = 11*x**2. Let t be (10\/(-4) - -3)*10. Let k(z) = t*w(z) + 2*b(z). Determine k(r(y)).\nAnswer: -363*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, l: 4, j: 2}. What is prob of picking 2 u and 2 j?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3034 + -9540. Let g = z + 17715. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j - 9. Let l be k(-5). Solve l*p - 20 = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.22 + 29.22. Let j = 28.9 - b. Let g(l) = -l**3 + 3*l**2 + 4*l + 3. Let w be g(4). What is the second smallest value in -5, j, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1159 + 5441. Let a = -1803 + u. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 + -2. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 5:27 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 384.3923452 to 2 dps.\nAnswer: 384.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 606973657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468857?\nAnswer: 397, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 62*h**2 + 176*h - 72.\nAnswer: -2*(h - 2)*(h + 18)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*d + 26 = 0, -d - 25 = -3*k + k. Solve 0 = -k*h + 7*h - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4582*x + 22950. Give j(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -5, 81, 3, -26 in decreasing order.\nAnswer: 81, 3, 1, 0, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (714*1)\/(3 + 6\/(-4)). Suppose -3*y = 5*l - 6*y - g, -3*l + 276 = -5*y. List the prime factors of l.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.1, 2, 286, 0, -1\/2, -2\/3571 in decreasing order.\nAnswer: 286, 2, 0, -2\/3571, -1\/2, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 138371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2358, -709, -9034, -25245, -51970, -91837, -147474?\nAnswer: -221509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 378622655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -7. Let y be (-3 + -129)*(-2 + 3). Let o be (-1)\/(-6) - 50\/y. Does o = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 5:45 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l. Suppose 0 = 5*k - 151 - 14. Let q(z) = -z**2 + 16 + 17 - k. What is q(b(p))?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -10*n - 3. Let o(p) = -51*p - 14. Let w(x) = x**2 + 7*x - 19. Let z be w(-10). Let m(r) = z*g(r) - 2*o(r). Let i(b) = 2*b**2. What is i(m(a))?\nAnswer: 128*a**2 + 160*a + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2355, 4714, 7063, 9396, 11707, 13990, 16239, 18448?\nAnswer: 20611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47146 (base 9) to base 3.\nAnswer: -1121011120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*p = 424 + 323, -5*r = p - 744. List the prime factors of r.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/5 of a meter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 - -760. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110493256.5 rounded to the nearest one million?\nAnswer: -110000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4518 is divided by 55?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 4 - 5*x**3 + 0 - 2*x**3 - 3*x**3 + 4*x**3 + (0*x**2 + 4*x**2 - 2*x**2)*(-5*x + 2*x + x).\nAnswer: -10*x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34250686499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5 = 107. Let y(f) = 2*f**2 + 5*f + 13. Suppose 2 = m + m, -5*o - 27 = 3*m. What is the remainder when y(o) is divided by l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(5 - 0) + -2. Suppose 6*s - n*s = 12. Suppose 104 = s*g + 4*j, 2*j - 2 = j. What is the greatest common divisor of 36 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -16, 2*i = 4*s + 7*i + 12. Solve h + s*h - 3 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*s = -6. Suppose s*p + 0 - 6 = 0. What is the units digit of (2\/(-6))\/(p\/(-54))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3199, -2867, -2321, -1453, -155, 1681, 4163, 7399?\n\"Answer: 18*w**3 - w**2 + 209*w - 3425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 5. Let m be p(3). Let w be m + -4 - (6 - 2). Let a(b) = -b - 3. Is a(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 0 + (9 - (13 - (-2 + -4)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -144927, -144938, -144949, -144960, -144971, -144982?\n\"Answer: -11*m - 144916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.9 in -1\/7, 3\/8, 5, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 101 = 2*g, k + 533 = 6*k - 3*g. Suppose -10 = c - k. Calculate the highest common factor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1300*t = 1305*t - 30, 5*x - 10 = 5*t. Put x, 2022, 4 in increasing order.\nAnswer: 4, x, 2022","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*h**3 - 84 + 84)*(5 - 415*h**2 - 5 + 792*h**2).\nAnswer: 4901*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + g**5 + 3 + (-3*g**4 - g**4 + 2*g**4)*(2*g + 2 - 2).\nAnswer: -3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (47 - 58) + 11 - -51\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 980772 - -3?\nAnswer: 980775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - ((-40)\/(-12) - (84\/(-18) + 4)). Solve 2 + 3 = 5*f - t, -2*f + 2 = s*t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n = -10*n - 12. Let p(c) = 33*c**3 + c**2 - c. Calculate p(n).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.121 times 17.8?\nAnswer: -2.1538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/2 + (391716\/40 - 1). Let h = x + -9806. Calculate the common denominator of (-168)\/(-9) + -1*1 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -12*a**2 - 5*a + 2*a + 3*a. Let f(r) = -2*r. Calculate f(h(n)).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 11*k + 1. Let i be w(-7). Let d be 4 - (-8 + -305 + -2). What is the greatest common factor of d and i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*k + 90 = 193*k + 193*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -16*x - 14. Let y(f) = -9*f - 6. Let k(i) = -4*o(i) + 7*y(i). Let n be k(-12). Solve -n*r - j = -11, 5*r + 4 = -3*j + 34 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1056 divided by -6.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*i*t**3 - 2*i*t**2 - 2*i*t + 2*t**3 + 12925*t**2 - 9809637*t wrt t.\nAnswer: -210*i*t - 4*i + 12*t + 25850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - f**5 - 1 + (-2 - f**5 + 2)*(-2 - 2 + 5) - 2*f**5 + 0*f**5 + f**5)*(-7 - 2 + 1).\nAnswer: 24*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgmm when four letters picked without replacement from {p: 1, e: 4, g: 1, b: 1, m: 4}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 6:24 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 12 = 12. Which is smaller: i or 14?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 9 + -23 + 60?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*h + 230*h = -12. Let f(i) = i**3 - 2*i**2 + 3*i - 2. Let p be f(h). Solve 12*k = p*k - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.8 and -0.4.\nAnswer: -7.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrjjjjrrrrr. What is prob of sequence jrr?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 6*y = 34*y + 45*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 1. Suppose -7 = -y + 3. Let r(v) = v**3 - 9*v**2 - 11*v + 12. Let c be r(y). What is n(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24372 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*r - 7. Suppose 3*m - 2 - r = 0. Solve 0 = m*b + b + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5832 divided by -81\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/2)\/((-6)\/(-1565 + -7)). Let c = n - -2490\/19. Let p(t) = t**3 + 4*t**2 - 1. Let k be p(-4). Is k at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19912648*b**5 + 80970*b**2 - 38*b.\nAnswer: -1194758880*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -1, -1836 in increasing order.\nAnswer: -1836, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 4*z**5\/5 - 33*z**3 + 1185*z**2 - 1735. What is the second derivative of g(k) wrt k?\nAnswer: 48*k**2 - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 - 6. Give j(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 0)*(-7 + 2 - 1)*((-2*s - 2 + 2)*(5 + 0 - 4) + (-7 - 2 + 0)*(5*s + 2*s - 5*s)).\nAnswer: -720*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 3*k**2 - 5*k + 1. Suppose -a - p - 1 = 12, 2*a = 4*p - 38. Let x be (11\/(-1))\/((-2*2)\/(-4)). Let n = a - x. Give l(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.0036, -2, -6, 0.3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64800221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -1\/4 (c) -76 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 - 54653*h**2\/4 + 185786240*h + 24573034496.\nAnswer: (h - 27392)**2*(h + 131)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -216712 * 3.\nAnswer: -650136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148487324, 296974647, 445461972, 593949299, 742436628?\nAnswer: 890923959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160789245.\nAnswer: 3, 5, 1061, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163111 divided by 16.\nAnswer: -163111\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*m = 16, r + 9 = -3*r + m. Let k be -3*r\/(-1)*-1. Solve -5 = s, -k*s - 20 = 2*q - q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**3 + 0*j**2 + 16*j + 3 - 2*j**2 - 2*j**2 + 6*j**2 - j**2 to p + i*j**3 + b*j + x*j**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -1, 127?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/17? (a) -0.5 (b) 0 (c) 0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*i - 196*i - 47*i - 55.\nAnswer: -203*i - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -18*j + 21*j. Find h such that 6*h**2 + j*h + 3*h - 3*h - 3*h**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, m: 1, y: 4, r: 1, n: 4}. Give prob of picking 2 y.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-15))\/((-1)\/159). Let z = c + 59. Suppose -z*s + 12 = -12. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 7. Let n(j) = j**3 + 5*j**2 - 2*j - 6. Calculate the remainder when n(f) is divided by (3 + (-9)\/(-2))*(-44)\/(-33).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.32 * 848865.\nAnswer: -5364826.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*sqrt(80) + 4 + -5*5*(sqrt(80) + 0))*3.\nAnswer: -264*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 59800000*h**3 - 2*h**2 - 2*h + 4. Let t be p(1). What is t rounded to the nearest 1000000?\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1020*d = 1026*d - 6. Suppose -5*c = 5, n + d - 6 = -c. Calculate the remainder when 16 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20402102 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 4*z**2 - 2*z + 3. Let q(s) = -s**2 + 11*s - 22. Let w be q(9). Let c be x(w). Suppose 0 = -4*l + c*l - 357. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnbawza. Give prob of picking 1 w, 1 n, and 1 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 0.3 (c) -1 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -256 + 47. Let l = v + 208.9999528. What is l rounded to 6 dps?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - 7*l + 39*l**3 - 77.\nAnswer: 39*l**3 - 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-12))\/((-5)\/(-40))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 11*v - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -12. Calculate the smallest common multiple of z and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m, -3*a - m = -2*m. Let h be 59\/9 + 92\/207. Let d(t) = -2*t**2 + 17*t - 18. Let y be d(h). Solve 2*s + 7 = y*q, a = q + s - 2*s - 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/9*(-135)\/18\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575060 is divided by 17426.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by 9.\nAnswer: 25\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-6) + 2)*74\/740. Let l = 0.16 + -0.16. What is the nearest to 1\/3 in 0.3, l, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*b = u + 30, -2*u + 3*b = 29. Let p(c) = 2*c + 31. Let a be p(u). Sort -4, -25, a in descending order.\nAnswer: a, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1312*l + 174875 - 91233 = 3653*l - 134818 for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**3\/9 - 3296*p**2\/3 + 45360*p = 0?\nAnswer: 0, 42, 2430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((13 - 1) + -14)\/((13 + -8)*(-5)\/(-925)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-14)*z)**31 assuming z is positive.\nAnswer: z**(-403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/3)\/(1\/9). Suppose -7*g + 480 = -m*g. Suppose -g = -4*c - 24. What is the highest common divisor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3860622 by -27.\nAnswer: -142986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-28)\/14*-3 - (-5 - 1). Suppose -15 = 5*d + 4*g - 51, 4*d = g + s. Solve -4*k - 13 = -d*p + p, 4*k = -4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15863*b**2*q*y**3 + 129298*b**2*q + 160*b**2*y**3 + 17*q*y wrt y?\nAnswer: 95178*b**2*q*y + 960*b**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6813?\nAnswer: 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*q**4 - 107239*q**3 - 2*q - 4359875 wrt q.\nAnswer: 336*q**2 - 643434*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -779451, -3117797, -7015041, -12471183?\n\"Answer: -779449*m**2 + m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 276 + 1?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r + 18. List the prime factors of n(5).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + a - 3*a + 2*a - 4*a + a + (-2*a + 3*a + 0*a)*(1 - 1 + 2) + (33 - 10 - 8)*(-3*a + 3*a + 2*a).\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + (-52 + 2 - -27) + 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62830 is divided by 1698.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -0.1, 22, 27, 0.1, -5, 15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqqkooookqooqqkqqoo. Give prob of picking 1 o and 3 k.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.595 to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3*o - 3)*(-o + 2*o + 15 - 16).\nAnswer: -3*o**2 + 5*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 43 = -3*u + 5*u, -5*u - 55 = -5*h. Let f(y) = -y + h + 5*y - y - y**2 - 3. Let q(v) = -4*v**3 + 1. Let p be q(-1). Give f(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41\/52 + 6\/13. Suppose 4*q - 1 = 7. Is q <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98164119?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 11. Suppose -d - d - s = -q, 5*d = 0. Let m = 7 - 4. Solve -m*g - 3 = v, -2*v - q = g - v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5004.2 - 5004. Which is the closest to -0.2? (a) n (b) -1.1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**4\/3 - u**3\/2 + 39*u**2 + 6*u. Suppose -15*i - 15 = -18*i. Let p(t) = -16*t + 5. Determine i*n(o) + 3*p(o).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 1033*v**7\/42 + 671*v**3\/3 - 172*v. Find the second derivative of j(g) wrt g.\nAnswer: 20660*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 30*r**3 - 84*r**3 + 14*r**3 - 14*r**3 + 6*r as k + l*r + x*r**2 + c*r**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 3556?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-6) + (-38)\/(-4). Suppose -2*k = -4 - 0. What is the units digit of k\/m + 43\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f + 4. Let u be ((-6)\/12)\/((-2)\/f). Let v be u - (-4)\/2 - 1. Solve v = 3*a - 4*i + 6, -2*a + 10 = -0*i + 2*i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 52644, 0.\nAnswer: 0, 10, 52644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(104)*-6 + sqrt(104))\/(sqrt(96)\/(sqrt(36)\/sqrt(3))) + 2 - (1 + (sqrt(52)\/sqrt(2))\/sqrt(2) + sqrt(130)\/(sqrt(10)*-3)))**2.\nAnswer: 74*sqrt(13)\/3 + 17806\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, -38, -330, -948, -2000?\nAnswer: -3594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -441 + 948. Suppose 1428 = a + b. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*f + 1, -5*l + 15 = f - 2*l. Suppose f*t - 35200000 = -5*v, v - 3*t = -7*t + 7040000. Round v to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45510 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 15 = c. Let a = c - -3. Suppose 2*t + 3*t + 12*t = 0. Solve t*u - a = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -15 + 36 - 4.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2. Suppose 0 = -2*q - 0*q. Suppose 2*c + q = 4. Let v(a) = 5*a + 2. Let w(k) = -20*k - 9. Let l(b) = c*w(b) + 9*v(b). Determine l(t(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.37414 nanometers in meters?\nAnswer: 0.00000008737414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**2 - 101*z + 62*z + 1 - 18 - z**2. List the prime factors of f(-7).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 54*x**2 - 29467*x - 4522632.\nAnswer: 108*x - 29467","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -15581*j + 15006*j - 11050*j - 20166*j as p*j + f and give p.\nAnswer: -31791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*m**3 - 2)*(2 + 2 - 6)*(40 - 11 + 34)*((0 - 1 + 3)*(-2 - 4 + 5) + (0 - 1 + 2)*(-1 - 3 + 5)) to i*m**3 + c*m + d + g*m**2 and give i.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27659 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3.561+-25463.6239\nAnswer: -25467.1849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -12*q. Let d(t) = 2*t + 4. Let b(u) be the first derivative of u - 6. Let g(v) = -4*b(v) + d(v). What is g(w(f))?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 7 = -7 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -5\/4, -471, -2\/5, 3, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + 15581*f**2 + 3*f - 169*f**3 - 15579*f**2)*(-2*f - 4 + 4) to the form k*f + b*f**2 + u + m*f**3 + p*f**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, c: 7, o: 3, b: 1}. What is prob of picking 2 c and 1 o?\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44472548*v**2 + 1366*v - 64541 wrt v.\nAnswer: -88945096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18905439 is divided by 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 56*i**2 + 2.\nAnswer: 56*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146\/(-3)*137\/(26852\/(-294)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30156608 by -16.\nAnswer: 1884788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*u + 55579, 5*k - 48830 + 141470 = 5*u. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/11, 3\/2, -2, 2\/463?\nAnswer: 2\/463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 = -h - 2*h, -2*h + 2*u = -14. Suppose -g + 8 = -s, 7*g + h*s - 5 = 2*g. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 6*x**2 - 25*x + 2. What is the hundreds digit of j(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (156\/36 - -1 - -14)\/(34\/51).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23985 and 715.\nAnswer: 263835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 474963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from qhqqqqhhhqq.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4*(-9)\/18)\/11. Put 15\/19, -0.08, j in increasing order.\nAnswer: j, -0.08, 15\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**37\/((((u**(-2\/3)*u)\/u)\/u)\/u))\/(u**(-15))**(-38) assuming u is positive.\nAnswer: u**(-1591\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 896226 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -2, -0.3 in ascending order.\nAnswer: -2, -0.3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -2\/927?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 46*q**2 - 956*q + 2960.\nAnswer: 2*(q - 10)*(q - 4)*(q + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2+-1189811\nAnswer: -1189813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 - -51. Suppose l*s = 5*m + 110, -4*s = -5*s - 5*m + 10. Let q be ((-8)\/(-60))\/((-2)\/s). Is q > -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-63))\/(74\/(-222)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3. Suppose p + k*p - 3*z = -9, -2*z = 3*p + 16. What is p rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*p**3 - 107821406*p**2 - 46345653?\nAnswer: 6*p**2 - 215642812*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 381 = -3*y, w - 6*y + y = -85. Let v = w - -150. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9443152 is divided by 9443150?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f + 1596*f**2 + 16*f - 24*f - 2 + 2 as x*f**2 + l*f + v and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/80 - (-366)\/(-8). Which is bigger: s or -89\/2?\nAnswer: -89\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11325 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 15*w - 7. Let q be l(14). Solve -4*t + 4 = 0, -3*t = 2*j - 0*j - q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -2*a**7\/35 + 13*a**3\/6 - 48*a**2. Differentiate t(g) with respect to g.\nAnswer: -48*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 973*z**3 - 5*z**2 - 108*z + 325. Is d(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1817*v - 1214*v + 4222*v to the form m*v + u and give m.\nAnswer: 1191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42573882 is divided by 14191290?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036796989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42764 and -0.3?\nAnswer: -12829.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*n - 24, -6*n = -q - n + 30. Suppose 0*x = -4*x - 20. Let d = x - -5. Solve 5*b + 2*l - 21 = q, b + 3*l + l + 3 = d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4228?\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -34911 and -26110.\nAnswer: -61021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-9773.\nAnswer: 19546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 + 5*s**5 - 3*s**5 + 6*s + 4 - 4*s**2 + 0*s**3 - 4*s**3.\nAnswer: 2*(s - 2)*(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -9. Let c = o + 4. Suppose 238 = c*z + 13. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 8*z. Let k(b) be the second derivative of b**4\/6 - 65*b**2\/2 - 70*b. Let i(f) be the first derivative of k(f). Calculate i(d(h)).\nAnswer: 32*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112022 + 163155. List the prime factors of z.\nAnswer: 51133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-7 + 7 - 7*h + 2*h - 3 + 3 + (0 + 2 - 4)*(h - 2*h - 2*h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8*6\/72*2\/12. What is the second biggest value in -3, r, 3\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.5 (c) -3\/11 (d) 17 (e) 0.28 (f) -2\/21 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 1:08 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8548 is divided by 851?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -229*k + 2526. Calculate j(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*f**3 - 152*f**3 - 69*f**3.\nAnswer: -316*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.264 to one dp.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from zzkhzhhzhh.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 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: Collect the terms in 45*m - 62*m - 9 - 1.\nAnswer: -17*m - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 18*i = 570, -21*s = -12*s - 5*s + 6*i + 170 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 14. Suppose -5*q - 8 = -3*q, 4*k - 3*q - 68 = 0. Suppose -k*v + 49 = -7*v. Calculate h(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002 - -2012?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2078153798 to the nearest integer?\nAnswer: 45587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/14 + (-3)\/21. Let y = d + -6. Sort -5, -4, y in descending order.\nAnswer: -4, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -102290*y**4 - 77*y**3 - 6*y - 145250423 wrt y?\nAnswer: -409160*y**3 - 231*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + k = -27, 19806*m - 40*k = 19809*m + 265 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -701, -1393, -2087, -2783, -3481, -4181?\nAnswer: -4883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d + 4. Let v be j(3). Let x = -6 + v. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*f**4 - 99\/7*f**2 - 81\/7*f - 19\/7*f**3 + 0.\nAnswer: -f*(f + 1)*(f + 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 894 = 142. Let f = 188 + s. Let p be -2 - 4 - 3\/(-3). What is the closest to f in 14\/3, -3\/5, p?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253087759.2638 - 0.09?\nAnswer: 253087759.1738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 449120 and 1405505.\nAnswer: 2005","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -14. Suppose -2*j - l = -4*j. Suppose 0*s = -j*s + 57. Calculate the remainder when 55 is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-2)*32\/20. Suppose m*i - 446 = 194. What is the highest common factor of i and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 58 = -5*c, 5*q - 3*c - 92 = -26. Suppose -82348 = -16*l - q*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5011733 is divided by 2814?\nAnswer: 2813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-16) + (-1 - 0) + (-53946)\/(-79920). What is the closest to -3 in 3, -4, -0.5, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/36*(0 - 28). Suppose 0 = m + 4*m - 35. Are s and m unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 + -112. Let k be w\/(12\/(-3))*-1. Suppose k = -5*p + 185 + 95. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073893627 to the power of 1\/2, to the nearest integer?\nAnswer: 32770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 14*r**2 + 32*r - 7. Let x be g(-11). Let -55 - 672*n**x - 147*n**5 - 1083*n**3 + 13 + 18 - 228*n - 25*n**2 - 737*n**2 = 0. Calculate n.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-457 + 73 + 4033)*(-1 + 3*w + 1) in the form l*w + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 3*i + 9, -2*i + 274 - 273 = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60299 to the power of 1\/2, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 42*r - 390. Determine x(-48).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.5 (b) -4 (c) 0.07 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66 - -66. Let x(p) = -3*p - 6. Let g(t) = t**3 - 9*t**2 - 2*t + 13. Let d be g(9). Let r be x(d). Solve 0*y - 3*y + r = k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96*310652\nAnswer: -29822592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - b**2 + b**2)*(1 + 0 + 3)*(2*b + b + b)*(3 + b**2 - 3).\nAnswer: -16*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30668 and 78744?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -124.16 and 5.\nAnswer: -620.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 9 - ((102 - 127) + 41)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mgqgggmmag. Give prob of picking 1 q and 2 g.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-12)*(-9)\/(-1). Suppose -2*a + f = 5*i, 3*a - 13 = -a - 3*i. Let n(b) = -b**3 + 4*b**2 + 4*b. Is n(a) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 25 + (219 + -234 - (0 - 2))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8575 - -8575.5. What is the third biggest value in 0.05, c, 37, -0.3, -2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3192 = 1311609*a - 1311457*a for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.03 and 0.039862091397.\nAnswer: 0.069862091397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 207 - 199. Solve 4*d + l + 3 = -d, 4*d - 2*l = -h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + (-24)\/(-14))\/((-9)\/(-21)). Which is the closest to r? (a) -1 (b) -0.3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/3 - 12*x**3 - 26*x**2\/3 + 164*x - 144 = 0. Calculate x.\nAnswer: -4, 1, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 451 and 220?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000068783 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 2550875378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -11.8 greater than -7976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.916 + 0.084. Let r = 248\/711 - 10\/79. Which is the nearest to r? (a) f (b) 4\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2210 + 869 = 3*p - 5*r, 4094 = 4*p - r. What is the derivative of -1023*q**2 + p*q**2 - 110 - 122*q**3 wrt q?\nAnswer: -366*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**4\/4 + 5*x**3 + 17*x**2\/2 - 18*x - 4. Let q be k(16). Let l = 0 + -1. Are l and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 - (0 + 2)\/(-2). Let f(c) = 142*c + 15 - 69*c - 72*c. What is the tens digit of f(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(143) + 5*sqrt(143)))\/sqrt(11) + (4 + -2*sqrt(1573) + sqrt(1573))**2.\nAnswer: -94*sqrt(13) + 1589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-7)*(21 + -7). Let o = -5.4 - -5.366. What is the third biggest value in j, -3\/7, o?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.31 - -0.19. Which is the smallest value? (a) 0 (b) d (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/11 - 324*l**2\/11 - 17496*l\/11 - 314928\/11.\nAnswer: -2*(l + 54)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.753221s in days?\nAnswer: 0.0015480696875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2. Let q(j) = -21*j + 2. What is q(i(m))?\nAnswer: -42*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -15555 + 14925. Calculate the remainder when s is divided by 104.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - x + 12 = 0, 5 = -2*a + 4*x + 27 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by -85\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -30519.9 times 5\nAnswer: -152599.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1398*a + 1381*a + 136 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**5 + z**2 - z**2 - 5*z**5 + 0*z**5 + z**5 + (-z**3 + z**3 - 2*z**5)*(2 - 1 + 1).\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/11, -2\/7, 13?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -25, -1 in descending order.\nAnswer: -1, -25, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4217, -8400, -12595, -16808, -21045, -25312, -29615?\n\"Answer: -h**3 - 4176*h - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*k - 71, 4*d = 5*k - d - 95. Let i be (-200)\/12*k\/(-20). Let f be (108\/(-8))\/((-2)\/i). What is the highest common divisor of 90 and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 22 = 4*q + 6, 3*y + 9 = 4*q. Suppose -12 = q*a + 3*r, 3*a - 3*r + 3 = 15. Suppose a = -2*k - 0*k + 10. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - 2*a**3 + 0*a + 0*a + (-26*a**2 - 312*a + 312*a + (-a + a - a)*(-a + 0*a + 0*a))*(4*a + 2*a + 2*a).\nAnswer: -202*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4 = -2*h, 1 + 22 = 4*b - 5*h. Solve 4*a - b*y = -22, -a - y = -0*y + 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*i**5 + 45*i - 271*i**2 + 4*i**3 + 272*i**2 - 4*i**3 wrt i.\nAnswer: -780*i**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 9*w + 3. Let d be m(9). Let v be 3 - (d - (-3)\/(-12)). Factor 1\/4*a**2 + 0 + 0*a + v*a**3.\nAnswer: a**2*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*c**3 + 3*c - 898 wrt c.\nAnswer: -165*c**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - 1. Let q(r) = 7*r - 15. Let n(y) = -q(y) + 6*z(y). Let p = -12 - -12. Give n(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m + 27*l + 81 = -31*l + 63*l, -3*l = -42 - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -7*n**5\/6 + 23*n**3\/6 - 1046*n**2. What is the derivative of c(z) wrt z?\nAnswer: -140*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 83 = x. Let k = x - 44. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 + 2*m + 2. Calculate s(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/(-12) + 3)\/((-15201)\/(-219570)*10\/(-12)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(675) + (-1*sqrt(675) - sqrt(675))))\/(1*1*sqrt(729)).\nAnswer: 10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 10:36 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0078406 rounded to 4 decimal places?\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(40\/(-96) - 1\/3). Solve -l*a = 8 - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 17*y**2 - 2*y - 36. Let g be q(-17). Let h be (-128)\/(-48)*9\/g. Calculate the common denominator of (-106)\/(-6)*h\/(-64) and -119\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -q + 3*k, 11*k + 73 = 3*q + 50 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 89*m**2 + 2*m - 2. Let q = 68 - 67. What is s(q)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -a, 4*x + x + 2 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3014 and 8083.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 + 0)*(14637*t**4 - 322*t**2 + 644*t**2 + 14059*t**4 - 322*t**2) to g*t + o*t**2 + j + u*t**3 + y*t**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -1627*n**5\/20 + n**4\/12 + 77*n**2 + 40*n + 6. What is the third derivative of j(m) wrt m?\nAnswer: -9762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 491 + -488. Solve 5*b = 4*k - 0*k - 23, 19 = 5*k - z*b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 9532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -264 - -176. Let b = w + 87.99771. What is b rounded to 4 dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**5\/2 - 150*r**4 - 315*r**3\/2 + 305*r**2 = 0?\nAnswer: -2, 0, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -389165 by -7.\nAnswer: 55595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -22. Suppose -w - 2035 = -l*w + v, -2552 = -5*w + 4*v. Let y = w + -248. What is y rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2525*a**2*f*u**2 + 4*a**2*f*u + a**2*f - a**2*u**2 + 4*a**2*u - 177*a*u + 5*f*u**2 wrt u?\nAnswer: -5050*a**2*f - 2*a**2 + 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2*w**2 + 2*w + (-3*w - 2*w + 3*w)*(4*w - w - w) + w**2 + 0*w**2 - 2*w**2 + 0*w**2 + 2*w**2 - w**2)*(3*w - 4*w - w).\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/10)\/((-115)\/25 - -5). Suppose -f = -q + 2, 0 = -4*q - 8*f + y*f + 16. Factor -3\/2*c**2 + 3\/2*c**4 - 3\/2*c**5 + 0 + 0*c + 3\/2*c**q.\nAnswer: -3*c**2*(c - 1)**2*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -219769, 1 in ascending order.\nAnswer: -219769, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32741 - 32742. Which is the nearest to -4? (a) i (b) -2\/9 (c) 0 (d) 7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 232*o - 4. Let n be i(2). Suppose -835 = -h + 6*h. Let m = h + n. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000236205 to 7 decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -4. Suppose -9*i + 105 = -p*i. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -539*i + 1932 + 2380 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25573.4 micrometers to nanometers.\nAnswer: 25573400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-2) + (16 - 0) + 100\/(-10). Which is the nearest to z? (a) -6 (b) 2\/3 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*r + 3662, -6*r - r = -4*b - 3637. Are b and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 195 and 2080.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**21*o)\/o**(-3\/7))\/((o*o*o**(-3\/4)\/o)\/(o*o**1*o)) assuming o is positive.\nAnswer: o**(733\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 13*l - 5. Determine w(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 23607537. Let y(t) = -t. Determine y(v(i)).\nAnswer: -2*i**2 + 23607537","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*q - r - 2 = 56*q, 6*q - 19*r - 139 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*t = 21628 - 22407. Suppose 5*u = -3*h + 9, 4*u - 5*h - 30 + 8 = 0. Sort 0, t, u in descending order.\nAnswer: u, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32004?\nAnswer: 2, 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 - 199. Let c = -110.0000132 - g. Round c to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1241 + -34ba?\nAnswer: -2279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 44793 and -0.02?\nAnswer: -895.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtw when three letters picked without replacement from gwttgggwwtg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1209 + 1164 - (-2 + -43)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 28 - 37 + 11*a.\nAnswer: 11*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 19*n + 22*n = -54, -42 = -2*p + 5*n. Calculate the remainder when 1547 is divided by p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.1775532 decades?\nAnswer: 0.01775532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.2 and 0.325?\nAnswer: 0.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.121 - -50.379. Let h = 53.33 + 7.67. Let r = h - a. What is r rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 20 = 4*i, -3*x = i - 119. Calculate the highest common divisor of 41 and x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0*i + 0*i)*(1 + i**2 - 1)*(-2 - 3 + 4 + (0 + 1 - 4)*(4 - 1 - 1)).\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 + 46.5. Let u = y - -84.5. Let b = -79.9999936 + u. What is b rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-43))\/((-33)\/(-22)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -6. Let x = -1 - z. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**5\/3 + 1360*f**4\/3 + 51407*f**3\/3 + 395074*f**2\/3 - 1565440*f\/3 + 1117600\/3 = 0 for f.\nAnswer: -20, 1, 2, 1397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9907?\nAnswer: 9907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 76044, 305081, 687112, 1222137?\n\"Answer: 76497*m**2 - 454*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -2.98. Let z = -93 + 94. Which is the nearest to z? (a) 4 (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p + 13. Let t(o) = 5*o - 26. Give 13*r(g) + 6*t(g).\nAnswer: 4*g + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(-3)\/54 + (-43)\/(-9). Suppose 949 = q*z - 411. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -7\/2 (b) -19 (c) -1\/2 (d) -1811\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (15301215\/36 - 1\/(-4)). Let q = b - 147967. Round q to the nearest ten thousand.\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from phpvggpppppvp. What is prob of picking 2 h and 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098196489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21420, 21428, 21426, 21402, 21344, 21240, 21078, 20846?\n\"Answer: -2*m**3 + 7*m**2 + m + 21414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/3*-3*20\/(-18)*7371\/(-8190)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4301 + -4299. Solve 20*w = -4*b + 17*w + 22, 0 = -s*b - w + 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/(-270))\/(10\/(-6))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-6))\/(9\/(-24)). Let r(v) = -v - 17. Let q be r(-9). Let d = q - -11. What is the biggest value in -1\/6, k, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21749199 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2220900.1 to the nearest one thousand.\nAnswer: -2221000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 less than -5.4?\nAnswer: -241.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 346492.8 centuries?\nAnswer: 34649280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-11 + 9) - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 36.5 and 3338.9?\nAnswer: 121869.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, v: 1, z: 1, x: 8, c: 2}. What is prob of sequence rz?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -4\/3*t**3 + 0*t**2 + 34 + 37\/4*t**4 + t. What is the third derivative of l(u) wrt u?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**2 + 557 - 281 - x + 3*x**3 + 0*x**3 - 277 to the form j*x**3 + n*x**2 + y*x + a and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0*t\/((t*t**(-2\/5))\/t))\/(t**5\/(t*t**(-5))))\/(((t**0\/t)\/t)**(-2\/13)\/(t\/(t*t**(1\/3)\/t))**44) assuming t is positive.\nAnswer: t**(4178\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1173888.\nAnswer: 2, 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + q = -q - 12, 3*p + 4*q = -19 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29134.52452 - 6.37548. Round i to the nearest 1000.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -8*w**2. Let q(u) = 124*u**2 + 3*u. Let v(h) = -117*h**2 - 4*h. Let z(n) = 4*q(n) + 3*v(n). What is p(z(x))?\nAnswer: -168200*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 4*b**2 + 4*b + 2. Let f be o(-2). Suppose 3*w + f = 128. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**3 + 156*z**2 + 303*z + 150 = 0 for z.\nAnswer: -50, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2757607 is divided by 284.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -18\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*l + 2*x - 96, -5*x = -5*l + 255. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.4 in 3, -0.4, -24, -2\/529, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8*a + 3. Let c be j(0). Suppose c*g = 5*g - 1778. Suppose -w = -2*h - 0*w + 356, 0 = 5*h - 3*w - g. What is the remainder when h is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 155 + -466\/3. What is the closest to g in -1, -3\/7, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**4\/4 - d**3\/3 + 3*d**2\/2 - 2*d - 3591. Let j(h) = h**3 - 5*h**2 - 7*h + 7. Let s be j(6). Determine r(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 1. Let k(z) = -7*z - 5*z**2 - 8 + 0 - 3 + 3. Let r(h) = 6*i(h) - k(h). What is the remainder when 2 is divided by r(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1 - (2 - (-2 + -8) - 3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -0.243584865.\nAnswer: 0.343584865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5331 + 0.0331. Let i = -3 - -2.9. Is a < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 4:33 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -394 + 392. Let p(h) = -15*h**2 + h + 7. Let a be p(s). Which is greater: a or -57?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, q: 2, n: 5}. Give prob of sequence qln.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 125f (base 16) to base 4\nAnswer: 1021133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 7. Suppose -6 = v - 2. Let w be s(v). Solve o + 9 = 5*c + w*o, -2*o = -5*c + 21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2828, 2805, 2782, 2759, 2736, 2713?\nAnswer: 2690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 773 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (157 - (1 - 1))*1. Let r = 31 - 34. Is 16 a factor of l\/5 + r\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 50085*x - 50034. Calculate w(1).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-3\/5)\/t*t)\/t)**(-5\/4))**4 assuming t is positive.\nAnswer: t**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**3 + 655*a**2 + 1870*a - 6400 = 0. Calculate a.\nAnswer: -128, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-805)\/630 - ((-28)\/16 + (-3)\/(-12))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -23, 11484, 1, 4 in increasing order.\nAnswer: -23, -1, 1, 4, 11484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v + 9*v - 5*v)*(3*v**2 - v**4 - 3*v**2) + 8*v**2 - 2 + 2*v**5 - 8*v**2.\nAnswer: -8*v**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2, 0.03, 0, 62, -46?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/2, -36, 7, -37, 1\/83?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/((l\/(l*l**(-10)*l))\/l*l)*l)\/l**(2\/11))**10 assuming l is positive.\nAnswer: l**(-680\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -794, 99, 5, -1.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -72296888.7 to the nearest 10000.\nAnswer: -72300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 18. Suppose 5 = 3*d - x*d. Let j = 3 - 2.99. Which is smaller: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-5) - (-2)\/(-10). Let r(b) be the first derivative of b**2 + 7*b - 31. Let s be r(y). Calculate the highest common factor of s and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = 9*r. Let i = -5899\/3 - -31526\/15. Let x = -136 + i. What is the closest to r in -4, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -78, -35, 56, 201, 406, 677?\n\"Answer: w**3 + 18*w**2 - 18*w - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -1.84?\nAnswer: 7.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -205788, -205813, -205854, -205911, -205984, -206073?\n\"Answer: -8*r**2 - r - 205779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**9\/t)\/(t**2\/t) assuming t is positive.\nAnswer: t**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((12\/30)\/(2\/10)). Suppose w - y = -s*w + 9, 2*w - y = 13. Solve 4 = -w*m + 24 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2 - 7916385*w + 7916386 = 0. Calculate w.\nAnswer: -7916386, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -11. Let n be 9\/3 + (-4)\/p. Suppose 5*m = -2*r + 73, 0*r + r + 1 = n*m. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 10:02 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/13, 0, -2\/25, -1\/7 in descending order.\nAnswer: 6\/13, 0, -2\/25, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429\/(-88) + 5 - 74397\/(-24) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3328609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13791137.\nAnswer: 13791137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 2 + (34 - 37)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 + 0*w + 0*w + (14 - 14 - w - 4*w - 3*w + 5*w + 5 + w - 5 + (w - 2*w + 2*w)*(-1 + 0 - 1))*(2 + 8*w - 2) to m + g*w + l*w**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40? (a) -5 (b) 4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 531, -5, 2, -2 in decreasing order.\nAnswer: 531, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*c - 3*x, -2*c + 159054*x + 11 = 159057*x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -646426.99997 - -646420. Let h = z + 7. What is h rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/220 and -41\/44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -200*y**2 + 68316*y - 68316*y + (4*y - 4*y + 2*y)*(-y - 4*y + 4*y) + 2*y**2 + y**2 - 7*y**2 as u*y + n*y**2 + w and give n.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21967\/10 - 2205. Suppose -4*c + f = -f - 12, -5*c - 4*f = -41. Find the common denominator of (c - 3) + 54\/14 and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 314*b - 3. Suppose 3*n = 5*d + 2, -4*n = -0*n - 2*d - 12. Suppose 9 + 7 = n*x. Is l(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-9))\/(6\/(-81)). Let v = n - 9. Let r = 4 - v. Solve 0*g - r*g = -8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21, -31, -25, 3, 59, 149?\n\"Answer: u**3 + 2*u**2 - 23*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15207000 rounded to the nearest one hundred thousand?\nAnswer: -15200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 41 = -6*v, -5*v - 45*o + 26 = -49*o for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.8 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*d + 4*h - 11, 2*h - 3 = -5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1112 = 4*d - 5*x + 801, 0 = -4*d - 4*x - 1868. Calculate the remainder when 37 is divided by (-1)\/(-3) + d\/(-24).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r = 19*r + 90. Calculate the remainder when 28 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1450 and 4698?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p + 6*p + 443 + 469 = 0. Calculate the highest common divisor of p and 8000.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 306 and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millennium in years?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 4*u**2 - 4 + 3)*(47*u - 13*u + 32*u)*(-4 - 6 - 7).\nAnswer: 1122*u**3 + 1122*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4 = -4*p, -5*p - 11 = -0*p + 2*u. Calculate the remainder when ((-58)\/(-6) - 1)*3 is divided by 14 + -1 + p\/3 + 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 4. Let k = 3 + y. Suppose -2*o = k*o. Solve g - 4 - 1 = o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 5425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -8*g - 1. Let b(z) = 3*z**2 + z + 4. Let s be b(4). Let h(i) = 24*i - s*i + 23*i - 2. Give 2*h(v) - 3*r(v).\nAnswer: 6*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*h - 154 wrt h.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0099 plus -0.7?\nAnswer: -0.7099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008365 rounded to four dps?\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111011111010011111010 - -10?\nAnswer: -1111011111010011111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347 = -5*f + 23. Let g = 220 - 150. Let m = g - f. Which is the second biggest value? (a) 1\/4 (b) 4 (c) -3\/4 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - o**2 - 2*o + 128. Let g be f(0). Let k = g - 114. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411508 is divided by 1524?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 664.3028 and -0.056?\nAnswer: 664.3588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 12 - 2 + v**2 + 2. Let c be 2 + 1 - -21*(-8)\/56. Give q(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-9) + (-4)\/6. Let k be (-4 + 1 + 0)*w. Suppose 3*s - 3 = -k*u, 5*s - 8 - 17 = -u. Solve 3*f - s*f = -12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1849.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 - 478*r - 7976. Calculate g(-18).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -3*g**6\/20 - 7*g**5\/30 - 8*g**2. Find the third derivative of o(a) wrt a.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5005941*44.\nAnswer: 220261404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 at most as big as 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -12*i + 63. Give s(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1480 divided by -16\nAnswer: -185\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 1. Let h = x - 2. Let r = 8 - h. Solve 20 = 4*t - m - r*m, 0 = -5*t - 4*m + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*y - 154 + 168 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1224 and 8060616.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/9))**(-7)\/(x*x**(-4)*x)**(18\/5) assuming x is positive.\nAnswer: x**(359\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 247*a + 45. List the prime factors of s(8).\nAnswer: 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5370, 10751, 16142, 21543?\nAnswer: 26954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441291496?\nAnswer: 2, 55161437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1688, -3566, -5548, -7640, -9848?\nAnswer: -12178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -23 - -10) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1474661226?\nAnswer: 2, 3, 17, 850439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/6 (b) 0 (c) 0.4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(2304) + -1*sqrt(2304))*1)\/((1*sqrt(56))\/sqrt(7) - -2*sqrt(648)))**2 + -1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4067879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i + 22*i = 8, 0 = -2*p - 3*i + 244. Solve -25*w = -0*w + p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 404738 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*i = 35, -4*h + 0*h - 3*i = 7. Let q(m) = -160*m + 13. Is q(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + 1158\/(-18))\/(1\/6). Let l = -120 - z. List the prime factors of l.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*l + 42 + 24 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10057315 - 1?\nAnswer: -10057316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 50*f**3 - f**2 - 2*f + 2. Calculate the remainder when 1028 is divided by i(1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**5\/60 + t**4\/4 + t**3\/6 - 15*t**2. What is s(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, j: 2, e: 7}. Give prob of picking 1 e and 3 u.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 66 + -bb?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - w = 102 + 42, -3*f - 68 = -4*w. Let u = f + 46. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3973?\nAnswer: 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*n + 0*n = 672. Suppose 264 = 3*d + n*d. Solve -5*a = -d*r + 6*r + 5, 5*a = r - 13 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.673263 litres?\nAnswer: 673.263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*i = 4, -5*i = -2*k - 2*i + 6. Suppose -109 = -2*z - d, z - 68 = -k*z + 4*d. Does 42 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.1865 rounded to 1 dp?\nAnswer: 22.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 0*w**4 + 0*w**3 - 2*w + 6 - 41\/5*w**5 + 0*w**2. What is the derivative of d(z) wrt z?\nAnswer: -164*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - b**2 + 2*b + 38. What is k(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1596 and 792570.\nAnswer: 210823620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69780, -139623, -209482, -279357?\nAnswer: -349248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 390709122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18\/8*1432\/6?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -471*b**7\/35 - b**4\/24 + 53*b**3 + 482*b**2. Find the second derivative of c(a) wrt a.\nAnswer: -33912*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 15 - 8 + 18*k - 6 - 17*k. Let x(i) be the first derivative of 15*i**2\/2 + 12*i - 4. Calculate 12*t(q) - x(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8024784.\nAnswer: 2, 3, 31, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h = -20. Solve s - a = 1, 0*s = 2*s + a - h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 14*u - 40. Let y be i(9). Suppose -o + t - 21 = -y*o, -3*o = -t - 14. Determine g, given that -23 - o*g**2 + 5 + 0*g - 7 - 30*g = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-20)*1*10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 815621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j + 12*j - 33*j.\nAnswer: -31*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**5 + 1244*j**4 + 56164*j**3 - 1244*j**2 - 56160*j = 0.\nAnswer: -40, -1, 0, 1, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 4*c**2 - 3*c. Let m(h) = 6*h - 1. Let t be m(-1). Let a(v) = 2*v**3 + 9*v**2 - 7*v. Give t*r(o) + 3*a(o).\nAnswer: -o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 468065 divided by -93613?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1006962 divided by -66\nAnswer: -15257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -657 = 4*f - j, j = -2*f + 3*j - 324. Is 0 + (-6)\/(18\/f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772823508 a multiple of 9519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 34*g + 1. Let s be d(1). Suppose 2*p - s = 75. Let n = 46 - p. Is -10 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3, 16, 39, 72, 115, 168?\n\"Answer: 5*w**2 - 2*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 31 + 5 = 0. Suppose 0 = 3*v + 1 - b. Let d(x) = x**3 - 3*x**2 - 6*x + 2. What is d(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q - 28 = -26*q + 12. Sort q, -7, 22, 0 in ascending order.\nAnswer: -7, 0, q, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 18. Let p be x(-15). Suppose 0 = -p*k + 551 - 131. What is the greatest common factor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**6\/6 - 5*y**4\/2 + 7*y**2 + 4*y - 151. What is the second derivative of w(t) wrt t?\nAnswer: -20*t**3 - 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from weadwahwadoh. What is prob of picking 3 w and 1 h?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 34419479.\nAnswer: 68838958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 33 = 5*z. Let n be ((-2)\/1)\/((-11)\/z). Let p(f) = -3*f**2 + 5. Let b(d) = -4*d**2 + 6. Calculate n*p(j) + 5*b(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -f**6\/3 + 114*f**5\/5 + 434*f**3\/3 - 403. What is the third derivative of k(o) wrt o?\nAnswer: -120*o**2 + 2736*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 5\/39*v**3 - 3\/13*v**2 + 3\/130*v**5 - 19*v + 0 + 11\/78*v**4. Solve w(n) = 0 for n.\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 9684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, -8, 1, -3, 131, -2 in decreasing order.\nAnswer: 131, 1, -1, -2, -3, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 2*r**7\/189 + 2*r**6\/135 - 2*r**5\/15 + 2*r**4\/27 + 10*r**3\/27 - 2*r**2\/3 + r + 55. Factor b(a).\nAnswer: 4*(a - 1)**3*(a + 1)*(a + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372*w + 3*w**3 + w**3 + 372*w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4245 and 21?\nAnswer: 29715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 13*g**2 + 2*g + 2. Let z(w) = w**3 - 3*w**2 - 2*w + 3. Let j be z(3). Is o(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5\/5 - 17*p**4\/5 + 63*p**3\/5 + 81*p**2\/5 = 0. What is p?\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 5*q - 9 + 17, -3*q = 2*v - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 10*s + 23. Let j be l(-2). Suppose 6*h = j*h. Solve -q - 20 = -5*b, 2*q + h*b - 16 = -4*b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 10813861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5077 - 11*o**2 + 5077.\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 35169\nAnswer: 5\/35169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -131 - 32*v - 36*v - 34*v + 92*v - 3 as i + r*v and give i.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 949 + -964 + -1 + (26 - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*o - 2*u = -65*o + 2*u + 2051, -4*u - 27 = -o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8)*200\/(-550)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1152) + 1 - sqrt(1152)) + -3)**2 - (-5*(sqrt(72)*2 - sqrt(72)) + (sqrt(72) - ((-4*sqrt(72) - sqrt(72) - sqrt(72)) + 1 + sqrt(72)))).\nAnswer: -6*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*w + 624 = -21*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 269219, 0, -3 in decreasing order.\nAnswer: 269219, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lap when three letters picked without replacement from apytprpaappyrlr.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.2 + 30.8. Let g = h + -43.2. Which is bigger: 6 or g?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**3\/2 - 91*l**2\/2 - 1012*l + 1058 = 0?\nAnswer: -46, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - a + 5. Let x be g(4). Let d = 66 - x. List the prime factors of (279\/12)\/(d - 9\/12).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26968 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113 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: Does 10 divide 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -197484*l**3*x**2 + 993*l**2 + 226*l*x**2 wrt l.\nAnswer: -1184904*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 512 and 640?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*sqrt(38)\/(sqrt(32)*1)*1.\nAnswer: -3 + 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 578*x - 3996. What is d(7)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 - 17*z**2 - 6*z + 3. Determine o(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8516.9 take away 0.03418?\nAnswer: -8516.93418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 3. What is the remainder when 37 is divided by k(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8659*w + 17 - 5 + 0 + 8655*w - 17269*w - 11.\nAnswer: 45*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 5*k + 8 = 0, -554 = 2*y - 4*k - 550 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -153, -8, -1\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 2*i + 4. Suppose 3*y = 2*y + 1. Suppose -y = 3*l - 4*a, -3*l + 3 - 10 = -a. Determine k(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-4*(-2)\/4). Suppose -y + f = -1. Let u be (-1 - (-9)\/(-15)) + y. What is the smallest value in -4\/7, u, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -505.\nAnswer: 2\/505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, i: 2, b: 2, m: 6, u: 3}. What is prob of sequence iimu?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is c2c22 (base 13) in base 3?\nAnswer: 122201222200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004679961198 to seven dps.\nAnswer: -0.0000468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -655, -693, -755, -841, -951, -1085, -1243?\nAnswer: -1425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -10*a + 9. Calculate t(-3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6474 and 9633.\nAnswer: 1599078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -138*x**3 + 10*x**2 - 10. Let h(i) = -46*i**3 + 3*i**2 - 3. What is 3*g(q) - 10*h(q)?\nAnswer: 46*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3991867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*d - 269*d + 101*d + 104*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -96, -30, 176, 570, 1200?\nAnswer: 2114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2))**(-31)*r**4\/r**(-8)*(r**2\/(r**8\/r))**(-42) assuming r is positive.\nAnswer: r**284","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 395*l**2*v**3 - 3*l**2*v**2 + 5*l*v - 7*v**2 wrt v.\nAnswer: 2370*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 3*n - 7. Let u be r(-5). Put 5, 4, u in descending order.\nAnswer: 5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -3\/2*v**2 - 3 + 7*v. Is p(-7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 8*t + 0*t + 3*t - 10*t. Let v(a) = 3748*a. Calculate o(v(k)).\nAnswer: 3748*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + b = 2*b - 27, 0 = -4*s - 3*b + 26. Suppose 0 = -3*r + 5*r + 3*y - 1678, 0 = -s*r - 4*y + 4195. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(10\/(-80)*-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**2\/3 + 50*q + 1972\/3 = 0.\nAnswer: -58, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 < -4\/353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*w - 163 + 115 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 + 143. Let x = y - 106. Let o = x + 45.0017. Round o to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4*((3*(sqrt(2057) - (sqrt(2057) + sqrt(2057) + -2)))**2 + sqrt(2057) + (5*(-1 + sqrt(2057)))**2)*-4 + 5.\nAnswer: -14960*sqrt(17) + 1119990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5659?\nAnswer: 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -49512 and 0.6.\nAnswer: -29707.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 3268047?\nAnswer: -326804.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -66.8 times -349\nAnswer: 23313.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5184 and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 806, 1643, 2480, 3317, 4154?\nAnswer: 4991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 84a28a (base 13) in base 4?\nAnswer: 23312203002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 427, 419, 407, 391, 371, 347, 319?\n\"Answer: -2*b**2 - 2*b + 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**5\/10 + k**4\/12 - 2*k**3\/3 - 5*k**2 + k + 707. What is f(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/(-9))\/((-23)\/((-5039070)\/(-20)))?\nAnswer: 67, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 12, 0 = 3*g + 4*k - 23 - 1. Calculate the least common multiple of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 - -242. Let w = m + -2707\/9. What is the common denominator of 4\/(-6) - (-552)\/45 and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1458840044 from -5615.\nAnswer: -5614.8541159956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155775756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 229245519*t**3 + 30243688*t**2 wrt t.\nAnswer: 1375473114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 264 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14060 is divided by 13536?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mliemiimmleliidisili. What is prob of picking 2 e?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*o**3 - 100*o**3 + 295*o**3.\nAnswer: 61*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*c = -147*c - 324 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7503.\nAnswer: 3, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 191967.\nAnswer: -191975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 405 = -405 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**6 + 75*m**4 - 2*m**2 - 344*m?\nAnswer: -360*m**3 + 1800*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-36)\/78)\/(-6))\/(1\/13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (5 - 2) - -6) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 18*i - 30. What is p(-20)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93.8 - 91.5. Sort 3, 2\/15, 0.2, 0.01, g in increasing order.\nAnswer: 0.01, 2\/15, 0.2, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21.79075m?\nAnswer: 2179.075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (-8)\/(-2 - -4). Suppose z = -2*v + 4*o + 16, -2*v + 6*v = -5*o - 7. Differentiate 2*l**2 + 10 + 0*l**v + 0*l**2 with respect to l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**4 - 8*g**2 + 7*g**2 + 2*g - 2*g - 2*g**3 to the form l*g**3 + r*g + s*g**2 + p + h*g**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 + 13*i**2 + 8*i - 1. What is the remainder when v(6) is divided by 45?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -1\/7, 2\/71?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.102727257 to 1 dp.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 = 2*r + 132. Calculate the remainder when 1499 is divided by r.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 9, m: 3, r: 1, n: 5}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0\/((f**(1\/9)\/f)\/f))\/((f*(f**(-8)\/f)\/f)\/(f*f\/(f**8*f*f))) assuming f is positive.\nAnswer: f**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14250\/13 - -1096. Sort 0.048, 3, 4, z.\nAnswer: z, 0.048, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -404397, -404413, -404453, -404523, -404629?\nAnswer: -404777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(((a**(-27)*a)\/a*a*a*a)\/a)*a**26*(((a\/((a*a\/(a*a\/a**(2\/15)))\/a))\/a)\/a*a*a)**(-25\/3) assuming a is positive.\nAnswer: a**(328\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + 11. Let m(r) = 8037*r + 56672. Let t be m(-7). What is the greatest common factor of i and t?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0183 - 10.9057. Let t = g - -11. Let y = -0.0683 + t. Round y to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.1 + -0.9. Let h = b + -0.7. Sort 1, h, 2 in ascending order.\nAnswer: h, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7767, 15690, 23709, 31824, 40035, 48342?\n\"Answer: 48*k**2 + 7779*k - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/2)\/k*k)\/(k**(2\/19)*k*k)*(k**(-2\/9))**(-7\/4) assuming k is positive.\nAnswer: k**(-550\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-27)\/6)\/3)\/(12\/(-16))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -39.8 (c) -6 (d) 5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k. Let m(l) = l + 3*l + l - 10*l. Calculate n(m(q)).\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/6)\/(5250\/(-56000))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -186 - -186. Suppose 8*r + 7*r - 6450 = i. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 + 5*d**3 - 2*d**3 - 2*d**3 - 8 - 2*d + 17. Let o be (-10)\/55 - (-46)\/11. Is n(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140\/42*(189\/(-12))\/7\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-265)\/175 - 35\/(-49)) + 63\/385?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -901 - 3667118.969?\nAnswer: -3668019.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005187807 to 6 dps.\nAnswer: 0.005188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2102.954 millennia in months?\nAnswer: 25235448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 23*w - 78. Let r be p(26). Let h(z) = -z**2 - z - 3. Let y be h(0). Let m be (0 - (0 + y))\/(-7). What is the closest to r in m, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (462\/(-5))\/21*5\/(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 at most as big as 258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 663415 to the nearest ten thousand.\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + p = 2, 0 = t - 522*p + 524*p - 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 1952?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 21*c - 6*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 211 + -227. What is the common denominator of ((-106)\/110 + z\/40)\/2 and 71\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -285 - -290. Let c = 3 + -3.2. Let t = 0.348 - -0.052. What is the nearest to -7 in m, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8655, -8897, -9131, -9357, -9575, -9785, -9987?\n\"Answer: 4*q**2 - 254*q - 8405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -15*k**8\/112 - k**5\/30 + 2*k**4\/3 + 35*k**2. What is the third derivative of y(p) wrt p?\nAnswer: -2700*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 309, 301, 291, 279, 265, 249?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 9*q + 6. Let s = 36 - 30. Suppose 4*j = s + 6. Suppose -2*g - p - p + 12 = 0, -j*g + 2*p + 28 = 0. What is i(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21*6\/27*129\/86\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*b - 73 - 59 = 0. Solve -2*q - i + 4 = -11, 2*q = b*i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 14778?\nAnswer: 118224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1682*s = 1660*s + 11836. Calculate the remainder when s is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (2 + (11 - 3) - 20)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6580 > -6581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.03 or 9382?\nAnswer: 9382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20, 1, 30, 61, 88, 105?\n\"Answer: -x**3 + 10*x**2 - 2*x - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -2, 0, -62, 2 in descending order.\nAnswer: 13, 2, 0, -2, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -5*g. Which is the second biggest value? (a) -1 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15171798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 116 and 586 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 + b - 1. Let l be w(-6). Let s = 204 - l. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12430530 divided by -9\nAnswer: -1381170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -2 + 6 + 0 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2124 by 2.\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4238825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 95045 - 48381 - 46664.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 214766439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 3:17 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 42232106.9 and -103?\nAnswer: 42232209.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/459 and -31\/27.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4)*d*d\/d**(-1))\/(d**(2\/9)\/(d\/d**(-2\/5))))\/((d*d**4*d)\/((d*(d\/(d**(-2\/9)\/d*d*d))\/d)\/d*d*d))**7 assuming d is positive.\nAnswer: d**(-499\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5*((sqrt(117)*2 - sqrt(117))\/sqrt(9) - sqrt(13) - (0 + sqrt(1053) - sqrt(1053))) + -2)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -9663*s - 19355. Calculate d(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-7) + (-124)\/(-7). Suppose 2*s - r = -s. Solve 3*f - 18 + s = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 6) in base 9?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535859918?\nAnswer: 2, 11, 24357269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.913 times 28763?\nAnswer: -256364.619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.8881 millilitres in litres?\nAnswer: 0.1238881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 12*h**2 + 8*h - 28. Suppose 0 = k - 4*c - 10 + 9, -4*k + 3*c - 35 = 0. Let p be b(k). Solve a - p + 5 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -1a?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -1 - 2 - (-392)\/280. Which is the nearest to 2? (a) -3 (b) -1 (c) -0.2 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10070041 to the power of 1\/2, to the nearest integer?\nAnswer: 3173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*p**6 + 254329876*p**5 - 6399*p**2 + 30144 wrt p.\nAnswer: -360*p**3 + 15259792560*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 6*u - 3. Let g be x(4). Let t = -26 - -31. Suppose -3*h + 33 = r + r, 0 = -t*r + 4*h + 48. Sort r, g, -1 in increasing order.\nAnswer: -1, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.9 + 3. Let k = 5.9 + v. Let n = k - 5. Which is the third biggest value? (a) -0.2 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/((-3)\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 131515 or 1?\nAnswer: 131515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104254?\nAnswer: 2, 52127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7126, -14340, -21554, -28768, -35982?\n\"Answer: -7214*y + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -151 + 155. Which is the third smallest value? (a) 5 (b) -89 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 233*r**2 + 3247*r. Let f(k) = -11*k. What is i(f(t))?\nAnswer: 28193*t**2 - 35717*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/8 - 87\/60)\/((-48)\/(-672))?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-15))\/((-2)\/(-294)). Let f = a - -94. Let l(v) = 2*v - 2. Let y(n) = n - 1. Let b(z) = f*y(z) + l(z). Determine b(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1274931 and 21240?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*m**2*v**4 - 2*m**2*v**2 - m*v**4 - 425*m*v**2 wrt v?\nAnswer: -312*m**2*v - 24*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 13*h**2 + 46*h - 17. Let p be k(-16). Solve 0 = 10*s - p*s + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t + 11728 - 75296. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(1\/17)*g*g*g*g**5*g*(g\/(g\/g**12))\/(g\/(g*g\/g**12)))**23 assuming g is positive.\nAnswer: g**(4324\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1318, 2464, 3622, 4798, 5998, 7228?\nAnswer: 8494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 2*d - 8. Let q be (1 - 1)*d\/(-4). Solve -3*x + 2*x = w + 8, q = 3*w + 4*x + 29 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 583, 1823, 3053, 4267, 5459, 6623?\nAnswer: 7753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 448117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 6. Let u(y) = y**3 + 3*y**2 + 2. Let v(g) = 3*g**3 + 5*g**2 + g + 3. Let s(l) = h*u(l) + 3*v(l). Is s(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -734574340*q**2 + 26211*q + 561 wrt q.\nAnswer: -1469148680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -312340 - -5?\nAnswer: -312333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-3) + (-558)\/(-72) + (-6)\/8.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 488165.2.\nAnswer: 488165.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19 * 164565.96.\nAnswer: -31267.5324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 a when three letters picked without replacement from aaahbuiaa?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000100 (base 2) in base 11?\nAnswer: -169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.453559l to millilitres.\nAnswer: 4453.559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.08632883 rounded to two dps?\nAnswer: -3.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - 2 + 11*y + 51.\nAnswer: 7*y + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 5) to base 9.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) 2\/5 (c) -4 (d) -4\/3 (e) -1\/9 (f) 17\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 2*f + 10 = 7*k, 0 = -5*k - 4*f - 24. Let r(s) = -s**2 - 2*s - 6. Let w(g) = -3*g - 7. Give k*r(c) + 3*w(c).\nAnswer: 4*c**2 - c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**2. Let y = -182 - -243. Let w(u) = 220 - y*u - 220. Calculate w(f(h)).\nAnswer: 244*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 40246, 80318, 120390?\n\"Answer: 40072*n + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/44)\/(-2*19\/76).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 1:46 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -15920140 divided by -106\nAnswer: 150190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - ((29 - 47) + 12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 38, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 944*u + 427*u + 19194 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 3*u**2\/2 - 19*u. Let o = 14 + -16. Let z(y) = -y + 2. Let g(k) = o*i(k) + 3*z(k). Let b(d) = -d**2. Calculate b(g(q)).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 - 5.01. Let m = -5 - -7. What is the third smallest value in m, 3\/5, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in sixty-four fifths of a micrometer?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/67 > 169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 43 = -3*w - 48, -5*w + u + 20 = 0. What is the third smallest value in -1, w, -30, 15?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5970000 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -20a (base 16) to base 14\nAnswer: -294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**2\/2 + 412*z - 2275. Let q(i) = 2*i**2. Give q(v(m)).\nAnswer: 2*m**2 - 1648*m + 339488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 32, 23, 16, 11, 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12977471\/322 + 40303. Find the common denominator of -27\/7 and k.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 5*g**2 + g**2)*(5*g - 4*g + 4*g) + (114*g**2 - 8*g**2 + 167*g**2)*(-4*g + 0*g + 2*g) + 5*g**2 - 2*g**3 - g**2 - 3*g**2.\nAnswer: -528*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/1736 and 32\/2387.\nAnswer: 19096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from {b: 1, w: 2, h: 1, n: 1, x: 1, i: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52921 - -1.\nAnswer: 52922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 17*n**2 + 34*n - 22. Let u be f(-15). Which is bigger: -83 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 867 + -59.89\nAnswer: 807.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*a**2 - 194*a**2 + 5*a + 104*a**2.\nAnswer: 13*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7039, 1087, -8 in decreasing order.\nAnswer: 7039, 1087, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -15*o**2 - 56*o - 5. Determine h(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617504831 is divided by 448?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 2\/13, -0.5, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**3 + 11*k**2 + 16*k - 18. Let p(i) = 10*i**3 - 32*i**2 - 49*i + 55. Let l(n) = 8*d(n) + 3*p(n). Is l(-9) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 0\/(2\/(-1)). Let b = l + 6. Suppose b*h - 8 = 1. Solve h = -0*i - i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 404*h - 328. Determine f(0).\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*z = 71*z + 26. Solve -2*j - 6*f - 7 = -3*f, f - z = -5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*x = 557*x - 786 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -134*t**2 - 36 + 267*t**2 - 39*t - 136*t**2.\nAnswer: -3*(t + 1)*(t + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -20, -18, -18, -20, -24, -30?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**3 + 2 - 2)*((0 + 0 + 1)*(1 + 2 + 1) + 1 + 3 - 1) in the form q*m**3 + j*m + f + l*m**2 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21100 + -12?\nAnswer: -21112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -1110101100001110100001100110?\nAnswer: -1110101100001110100001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 49 + -49 - (-24)\/10. Let c = 164\/405 - 2\/405. Factor -18\/5 - c*g**2 + u*g.\nAnswer: -2*(g - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 2*o**2 + 3. Let y be i(-2). Let h = 19 + y. Let q = -1 + h. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26182668, 52365347, 78548030, 104730717, 130913408?\n\"Answer: 2*a**2 + 26182673*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, t: 1, y: 2, w: 3, c: 2, m: 4}. Give prob of picking 2 w and 2 m.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1*6\/(-6)*-2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2100\/(1 - -9) - 3. Calculate the highest common factor of 115 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/87456 and 71\/32.\nAnswer: 87456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*d = 6*g + 8, 0 = 5*g - 4*d - 26. What is the common denominator of g\/(-4) + 616\/121 and -83\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 865386 divided by 131?\nAnswer: 6606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 3 + -5 + 12. Let w(b) = -31*b**2 - b + 5. Let k be w(d). Let g = k - -3678. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -7. Suppose -3*u = -p - a*u + 15, -4*p + 4*u = -100. What is the greatest common divisor of 75 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/3 - 4*l**3 + 26\/3*l**2 - 8*l + 2\/3*l**4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/2 (b) 871 (c) 445\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2812 divided by 62925?\nAnswer: 2812\/62925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4 - 4 = 0. Let d be 1*54 + z + -2. Suppose -2*h - 2*h = -d. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 26 = 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 0*m**2 + 8*m + 1\/24*m**4 + 0 - 1\/24*m**3 - 1\/80*m**5. Solve r(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + -1001001011011000?\nAnswer: -1001001011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 31*g**3 - 326*g**2 - 11*g - 49. What is p(8)?\nAnswer: -5129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 1:26 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24699, -25152, -25921, -27018, -28455, -30244?\nAnswer: -32397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -324*x + 684. Let l = -6 + 26. Calculate the remainder when j(2) is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 21 = 13*u. Which is bigger: u or -3\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (17345 - -2)\/(-1 + 2). Let j = n + -108297323\/6243. Let a = j + 493225\/87402. Calculate the common denominator of a and -1\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 358 - 356 = 0, 7*p - 22 - 9 = -5*a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 e, and 1 i when three letters picked without replacement from kdjidgeggkk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l**2 + 6*l + 3. Let a(k) = -5*k**2 + 6*k + 3. Let w(b) = 3*a(b) - 4*f(b). What is w(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111021101 (base 3) to base 8.\nAnswer: 22714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 6:28 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15421966 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 111111101110?\nAnswer: -111111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.68 - -0.6. Let t = a - 0.12. Let i = -0.2 - -0.7. What is the closest to t in -1\/3, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (-44 + 25 - -46)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18 (b) -4 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 61*v + 48 - 109*v + 129*v + 15 - 100*v. Determine s(5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2725*n**3 - 2*n**2 + 2*n + 4. Let t(z) = -1335250*z**3 + 981*z**2 - 981*z - 1962. Calculate 981*r(l) + 2*t(l).\nAnswer: 2725*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfqqqrdqcd. What is prob of sequence cc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 503620691*g**5 + 55978*g**2 + 5275.\nAnswer: 30217241460*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11210222012 + 1?\nAnswer: -11210222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 7*x - 3*x)*(-4 + 21 + 25).\nAnswer: -462*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 22098*x - 154708. What is g(7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + y + 4. Let d be t(0). Suppose 27 = d*r + 3*f + 9, -5*f = -3*r - 1. Let q = 10 + -10. Solve q = -r*s, -3*s + 0*s = 4*x + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 12. Let b be r(17). Let y = -26 + b. Solve y*d + 1 = -5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13600*f = -3294*f - 892283 + 199629 for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = w + 5*q, 5*q = 4*w + 9*q - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 11*a - 4. Let r be m(10). Let c(z) = z**3 - 8*z**2 + 11*z + 6. Let v be c(r). Let i be (-10)\/28 - (-1)\/(-2). Which is smaller: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.25263 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 616 - 106 = 0. Let h be (-5)\/(m\/(-132)) + 4. Suppose y - 3 = 0, 0*p + p + 4*y = 11. Which is smaller: p or h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 328.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 9*i + 27. What is z(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9506, -18704, -27914, -37142, -46394, -55676, -64994, -74354?\n\"Answer: -c**3 - 9191*c - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 323*x**2. Let b(v) = v**2 + 135*v - 12. Calculate b(l(d)).\nAnswer: 104329*d**4 + 43605*d**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**3 + 27*c**2 - 18*c - 48 = 0.\nAnswer: -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3*4\/5*23390\/2339\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 110894399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.3, -6, -0.12, -292214?\nAnswer: -292214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88492*g*r**2 - 392679698*g*x + 1948*r**2*x wrt r.\nAnswer: 176984*g*r + 3896*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrjgrtw. Give prob of sequence gr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 117618\/12 - 3\/2. Round m to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q - 1111 = -247. Solve -4*k + 13*j = 17*j - q, -4*k = j - 24 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -1*(5 + sqrt(171)*-1 - sqrt(171) - sqrt(171) - sqrt(171))*2)**2 + -5)*-1.\nAnswer: -11135 + 672*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 331\/(0 - (-6)\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.17 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/8*(-336)\/(-60). Let w be 33\/(-77) - (-384)\/t. Solve z = -h - 1, -3*z = -6*h + 3*h - w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 12*y - 15. Let j be b(-14). Suppose -j*u + 44 = -9*u. Calculate the greatest common factor of 99 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1164146435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 65?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.29 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2842200 is divided by 1131?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 360\/63 + (-2)\/(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -5. Let f = r + -1. Let l = 6.39 - 6.59. Which is the second smallest value? (a) 1\/16 (b) l (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11357933 - -24137928. Suppose 5*z + b = -3*x, 5*x - 4*z + 17040004 = x. What is x rounded to the nearest one hundred thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + 6 + -4 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 12 = 4*r. Let o(b) be the third derivative of -b**5\/10 + 10*b**3\/3 + b**2. Let p(t) = -2*t**2 + 7. Determine r*o(v) - 17*p(v).\nAnswer: -2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16194\/485 or -33?\nAnswer: -16194\/485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y. Suppose -2*v - 4 = -6*v. Let m(j) = -1 + 2 + 1 + 0*j + 3*j. Suppose w + 0*w = -6. What is v*m(z) + w*r(z)?\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000959 to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/(u*u*(u*u*u**(-9\/5))\/u))*u*u**(2\/3) assuming u is positive.\nAnswer: u**(43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -65 (b) 3\/7 (c) 5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*c + 198*c = 450*c + 60 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 21*q - 170. Let i be z(-14). What is the highest common factor of i and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 + -733\/12. Find the common denominator of t and -91\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 930 (c) -2.61831\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (150\/(-20) - -7)\/(6\/4). What is the nearest to g in -1, 1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + 4*u - 2*u + 0 - u + 0 + (6*u - 3*u - u)*(-4 + 1 + 1) + 2*u + 3*u - 4*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4 - 12)*(-7*y**5 - 5*y**5 + 5*y**5) + (-y**4 + 2*y**4 - 2*y**4)*(7*y + y - y) - y**5 + 0*y**5 + 2*y**5.\nAnswer: 99*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - u - 2*u)*(-21 - 16 + 31)*((-u + 4*u - 2*u)*(-2*u + u + 2*u) + 3*u**2 - u**2 + 0*u**2) to d + z*u + b*u**3 + l*u**2 and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.330278 - -7.321. Round n to 4 decimal places.\nAnswer: -0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -151263765310368 and -1?\nAnswer: 151263765310367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5 + 6 + 377*w**4 - 433*w**4 wrt w?\nAnswer: -224*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, 295, 967, 1989, 3361, 5083, 7155?\nAnswer: 9577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**3 - 10*r**3 + 6*r**3 + (-r + 0*r + 0*r)*(-1 - r + 1)*(3*r + r - r).\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*o - 34*o = 2220. What is the highest common factor of o and 333?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -782*v**3 - 161*v**2 + 161. Let g(f) = 29*f**3 + 6*f**2 - 6. What is -161*g(z) - 6*k(z)?\nAnswer: 23*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**3 - 5901*m**2 + 12*m + 23604 = 0.\nAnswer: -1967, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 - 2 + 2*r + 1 + 2 - r**3 + 3*r**3 as f*r + p*r**3 + h*r**2 + c and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 10:27 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 2:16 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2. Let w = -21247\/4 - -5314. Let m(b) be the second derivative of -21*b - w*b**4 + 0*b**2 + 0*b**3 + 0. Determine m(d(z)).\nAnswer: -108*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/(t*t**(-2\/5)*t)*t)))**45\/(t*t**3)**(-11\/6) assuming t is positive.\nAnswer: t**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -41 (b) -7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/4 - 63291*q\/4 - 189819\/2.\nAnswer: -3*(q + 6)*(q + 21091)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2969595 > 2969592?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 8*v**2 + 3. Let y be d(-8). Suppose 4*l + 3*i - 25 = 65, -y*i - 102 = -4*l. Calculate the remainder when 44 is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 386 in descending order.\nAnswer: 386, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/24 and -139\/513564.\nAnswer: 1027128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 10:38 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 4*q**2 - 3*q + 4. Let r(p) = -p**2 - 7*p - 4. Let y be r(-7). List the prime factors of b(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3437 (base 11) to base 16.\nAnswer: 11a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**2 + 49*h - 31. Let x be s(-22). Solve 0 = 2*u - x*t + 26, -4*t + 8 - 1 = 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**2 + 7*x - 6. Let p be q(4). Let j = -25 - p. Let c = j - 10. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 2*l + 2. Let k = 6 - 28. Let j = -27 - k. What is the remainder when f(j) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*h + 16004 + 39134, 0 = -3*x - h + 41341. What are the prime factors of x\/48 + (-1)\/8?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 6:14 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**2 + 2*d - 9. Let l(p) = p**2 + 1. Let j(n) = 18*l(n) + 2*s(n). Find the second derivative of j(u) wrt u.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 3*c + 8, -4*c = -y + 4 + 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 110327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484245 = 17*z - 206533. Let n = z + -8141. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/3 + 7580*k\/3 - 30368.\nAnswer: (k - 12)*(k + 7592)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 3*v + 4*t + 20 = 0, -5*v + 2 = -4*t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -229 - 25?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**5\/60 - 5*k**4\/24 + 5*k**3\/6 - 3*k**2. Calculate the least common multiple of (12\/10)\/((-2)\/(-5)) and u(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 5*g + 720, -3*g - 75 + 811 = 2*d. Let u = d - 359. Solve 2*o + u = -0*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 z, and 1 k when four letters picked without replacement from kkkkzhkhkzckcck?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -362*n + 4391. What is a(12)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 8. Let k be c(-8). Suppose -5*l = 4*d - 277 - 158, l - 3*d - 68 = k. Let m = l - -2. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**6\/6 + 5*w**5\/4 + 35*w**4\/12 - 25*w**3\/6 - 15*w**2 - 2*w + 12. Determine m, given that c(m) = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11\/2 (b) 0.05 (c) 1\/4 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 11 + (-13 - (2 + -11)) + 1?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33235, 66393, 99561, 132745, 165951?\nAnswer: 199185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - s = -3*s - 6, 0 = -n - 5*s + 15. Let z(d) = -d**3 + 5*d**2 - 2*d + 10. Let f be z(n). Solve -4*u + 16 = 3*v, 0*v - 4*v - 5*u + 20 = f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -62 - -111. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from {x: 9, g: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-228)\/(-171))\/(8\/18). Let m(w) be the first derivative of 0*w + 2\/15*w**n - 1\/20*w**4 - 1\/10*w**2 - 6. Solve m(g) = 0 for g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*s**3 + 1527*s + 1 + 1653*s - 3265*s in the form r*s**2 + m*s + a + k*s**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-48))\/(3\/8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t + 3*t + 2 - 4*t**2 - 3*t + 5*t**2. Let d be v(-2). Which is the third smallest value? (a) d (b) -2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 849042.4 less than -4?\nAnswer: -849046.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 937421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.73 and 0.8?\nAnswer: 4.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p**2 - 8*p**2 + 523*p**3 - 11*p**2 + 8*p**2.\nAnswer: 523*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 + 106. Solve -75*v + y*v - 25 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v. Let a(r) = r + 7. Let j be a(-10). Let m(d) be the second derivative of 7*d**3\/3 - 58*d. Determine j*m(h) + 7*o(h).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 + -73. Which is the nearest to -0.2? (a) j (b) 0.5 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) - 2*sqrt(125)*1 - sqrt(125)) + 5 + 4 + -1 + sqrt(125)*1)**2.\nAnswer: -80*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2471, 2468, 2455, 2426, 2375, 2296, 2183, 2030?\n\"Answer: -u**3 + u**2 + u + 2470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49083*r - 96 = 49099*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence td when two letters picked without replacement from {t: 11, d: 2}?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/8 + (-3104)\/194.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 702334?\nAnswer: 2, 37, 9491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 w when three letters picked without replacement from {a: 4, f: 1, w: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 7*f**2 - 5*f - 25. Give n(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16ba7 (base 15) in base 13?\nAnswer: -275c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-12)*((-16)\/40)\/((-3)\/(-30))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, p: 1, t: 7}. Give prob of picking 3 c and 1 p.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1792808883 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60479.5217426 - 947433.5783094. Let t = a + 1007910. Let u = t - -3.1. What is u rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/80 and -41\/383074.\nAnswer: 15322960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29605270657\/3091 - -9577894. Let m = 2\/281 + h. Let s = 0.2 + -0.2. Which is the closest to s? (a) m (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2251 - 1100. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -1. Let k = -0.2 + -0.3. Let d = -5.5 - k. Which is the smallest value? (a) d (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 11*m. Let i be y(7). Suppose 0 = i*t - 32*t + 48. Calculate the smallest common multiple of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**5 - 5*x**4 + 5*x**3 + 5*x**2.\nAnswer: -5*x**2*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -30*g + 277. Let r be (9\/4)\/(28\/112). Let s be c(r). Solve -4*u - 3 = -s*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32360328 a multiple of 1144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4437510.\nAnswer: 2, 3, 5, 7, 11, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114269*z - 228425*z + 114150*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -2*d**3\/3 - 5*d**2 - 6*d - 2. 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: Let o(k) = 2*k**2 - 7*k + 9. What is o(6)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -1 (c) 2\/9 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*m**5 - 7580*m**4 - 133184*m**3 - 472240*m**2 + 443648*m - 93184 = 0. What is m?\nAnswer: -8, 2\/5, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 537 - 455. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*o - 394*o = -437 + 11090 + 597 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**4\/12 + f**3\/6 - f**2\/2 + 2*f. Let z(h) = -3*h**3 - 18*h**2 + 18*h - 18. Give -18*y(m) + z(m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2503 (base 6) to base 13\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2425*q - 26681. Determine j(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 366506 and 8.\nAnswer: 1466024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 3:06 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2100)\/147)\/25)\/(5\/(-7))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 157.7 - 156.7. What is the third biggest value in -3, 5\/4, y, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 64 = 11*n. Suppose 5*a - 3320 = -n*y, 4*a + 1576 = 2*y + 260. List the prime factors of y.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1084 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3090 + 24707\/8. Find the common denominator of -1\/1002 and w.\nAnswer: 4008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**3 - 104*h**2 + 11*h - 842. Determine c(-35).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*h + 14*h - 14*h)*(2 - 66 + 60 - 6*h) to u*h**2 + q + s*h and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/4)\/(((-3)\/(-66))\/((-12)\/(-66)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + 4*h**3 - 2*h)*(-1 + 2 + 0 + (-2 - 2 + 3)*(0 - 3 + 5) + (-7 + 3 - 1)*(0 - 1 - 1) + 1 - 3 + 1) to y*h + l + m*h**2 + u*h**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100 + -92. Solve 3*d + 2*d + p - 16 = 0, 0 = d + 3*p + w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6936, 13866, 20796, 27726, 34656?\nAnswer: 41586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11\/45, 1 in descending order.\nAnswer: 4, 1, 11\/45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {p: 7, r: 1, f: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23058701 or -23058702?\nAnswer: -23058701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-10 + 13 - (-1 + 6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-35)*2)\/(7\/(-5)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36699719, 73399441, 110099165, 146798891?\nAnswer: 183498619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*g**2 + 0 + (2 - 1 + 0)*(g**2 - 4*g**2 + 0*g**2) - 5*g**2 + 2*g**2 + 2*g**2 + 2*g**2 + 3*g**2 - 2*g**2)*(4*g + 2*g - 4*g).\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-783*i**2 - 380*i**2 - 791*i**2)*(3*i - 8 + 8).\nAnswer: -5862*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 547 times -0.23\nAnswer: -125.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -947282640, -947282642, -947282644, -947282646, -947282648, -947282650?\n\"Answer: -2*r - 947282638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (44 - 46) + (1 - -4) - (-22)\/(-4). Let b = -7\/30 - 1\/6. Sort q, b, -0.3, 3 in decreasing order.\nAnswer: 3, -0.3, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 4. Let x = -5 - -2. Let i = x + 6. Let y be v(i). Solve -4*k = y*m - 6, 3*k - 2 = 3*m - 2*m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*m**2*t**2 - 400*m**2*x + m*t**2*x - 65*t**2 wrt x.\nAnswer: -400*m**2 + m*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 219 and 54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*q + 4. What is the second derivative of 3*o**q - 13*o - 2*o - 3*o + 2*o**2 wrt o?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 0.02 (c) 0.16 (d) -54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**0*a**3*(a*a**3)\/(a\/a**6))**(-2\/13) assuming a is positive.\nAnswer: a**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.107 + 1.18. Let g = o + -7.173. Let p = g - -7. Which is bigger: 3 or p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2415 (base 6) in base 14?\nAnswer: 2dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9, -2, -2329, -24, -1 in ascending order.\nAnswer: -2329, -24, -9, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9850 and 182816?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/31218 and -137\/8811990?\nAnswer: 96931890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 + 4*z - 24. Let n be (-42)\/4*(0 - 8). Suppose 0 = -5*k + k + n. What is the remainder when h(4) is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 11010111?\nAnswer: -11010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63828911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z**11*z)*z)\/z)\/z)\/(z**(-7\/5)\/z))**(-28) assuming z is positive.\nAnswer: z**(1344\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -33, 205763.\nAnswer: -33, -4, 205763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -12*w + 110. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.07797301 to 3 dps.\nAnswer: 43.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32.8 - -30.8. Which is the nearest to 0? (a) k (b) 2\/9 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 6 + 4)*(-o + 4*o - o)*(421 + 68 - 53 + 1431) as b + m*o and give m.\nAnswer: -7468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 501783312 divided by -143203.\nAnswer: -3504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1032 - -157709524429.\nAnswer: 157709525461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.57552 rounded to 1 dp?\nAnswer: 159.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 0)\/8*-4. Let d = 2 - -2. Let h be (2\/d)\/((-2)\/(-8)). Solve 8 = -j - a, 3*j + l = -j + h*a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86 - -18. Let x = n + 70. Solve -4*l = t - 17, x*l - 12 = -4*t - 0*l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46.05 + -46. Let t = -4.95 - q. Let n be -3 - -5 - 0 - 15. Which is the third biggest value? (a) t (b) 1 (c) n (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/3)\/1 + (-440)\/660. What is the third biggest value in j, -5\/2, -12\/31?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 36285244 and -0.03.\nAnswer: 36285243.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5371590 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2. Let g(a) = 27*a**2 - 7*a - 13. Let h(p) = -53*p**2 + 13*p + 27. Let s(i) = 11*g(i) + 6*h(i). Let w(k) = 4*m(k) + s(k). Differentiate w(u) wrt u.\nAnswer: -42*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26897)\/136554*9\/(-13)\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6963 divide 830304273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 - v**4 - 2*v**3 + (0 + 2*v + 0)*(-73*v**2 - 78*v**2 - 403*v**3 + 145*v**2).\nAnswer: -807*v**4 - 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3 + -0.2. Let r = -0.5 + 0.6. Let t = r - k. Sort 0.2, -2, t in decreasing order.\nAnswer: 0.2, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 21.8. Let l = o - 2.62. Let d = l - 0.39. Round d to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68 and (9 - 355\/15)\/((-4)\/6)?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.013 and -57.6?\nAnswer: -0.7488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((s\/(s**(-2\/23)\/s))\/s)*s*s**(-2\/23)*(s*s*((s**(1\/2)\/s)\/s)\/s)**(-12\/19) assuming s is positive.\nAnswer: s**(499\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2048 greater than -4250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 60.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*v = 516*v - 488118555. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2281576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73\/5 + 151\/10. Let h(w) be the first derivative of -4\/3*w**3 + 0*w - c*w**2 - 3. Find the second derivative of h(r) wrt r.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z**4 + 0 + 0*z - 3\/5*z**5 + 3\/5*z**3 + 0*z**2.\nAnswer: -3*z**3*(z - 1)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203353 is divided by 237.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 u, and 1 o when three letters picked without replacement from loolllollooolollollu?\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 69 = -11*v. What is the remainder when v is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 35670 - -6a1?\nAnswer: 36261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/5 + 9 + 484*3\/(-105). Which is smaller: -8 or x?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -2\/5, -437740 in ascending order.\nAnswer: -437740, -4, -2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-15)*1485\/(-297) - 54\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 13*v**2 + v. Let p(g) = 7*g - 3. What is the smallest common multiple of p(2) and d(1)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3703*l. Let p(o) = 2*o. Determine p(u(m)).\nAnswer: 7406*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309*p + 2800 = 379*p. Which is the nearest to 1? (a) 2\/9 (b) p (c) 2\/5 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/3*d**4 + 0 - 80\/3*d - 28*d**3 + 4\/3*d**5 - 164\/3*d**2 = 0. Calculate d.\nAnswer: -4, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 157725631?\nAnswer: -157725635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - ((sqrt(99) - (sqrt(99) - -2*sqrt(99)*-1 - sqrt(99))) + sqrt(99) - sqrt(99)) - sqrt(99))\/(sqrt(18)\/sqrt(2)*-1).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 263*y**2 + 19*y - 14. Let c be v(-3). Let p = c + -455. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4708267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58671381?\nAnswer: 3, 37, 89, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*a = 7*f - 6, 2*a - 4 = -4*f. What is the tens digit of 44016\/420*5\/f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnrrr. What is prob of picking 1 r and 1 n?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 29. Suppose -c + 6*d = 2*d - 17, -r*c - 2*d + 19 = 0. Suppose 3*n = 15, 5*n + 1875 = c*b + n. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/4))**(-6)*s**(-21)*s\/(s**(-4\/9)\/s) assuming s is positive.\nAnswer: s**(-415\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2. Let o(z) = -29*z + 5. Let t(f) = 14*f - 3. Let d(g) = -3*o(g) - 5*t(g). What is d(w(l))?\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 81136.\nAnswer: 2839760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(5)) + 3*(1 + sqrt(5)) + 5 + -4.\nAnswer: sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 31415410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -93, 5, -18, -3, -29 in descending order.\nAnswer: 12, 5, -3, -18, -29, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zirtoro. Give prob of sequence it.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -562215 - -332215. Round u to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 11 = 4*r + 3, 5*w - 4*r - 19 = 0. Let b(n) = 18 - w*n - 2*n - 13 + n**3 - 6*n**2. Is 6 a factor of b(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1 (c) 10 (d) -89\/3 (e) -0.8 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -314 divided by 2\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142051224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 5 = 4*q. Let b(a) = -3*a**3 + 0*a**3 + 5*a + 5 - a**3 - a**2 - 2. Is b(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1750 divided by 350.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 2. Let z = -69 + 89. Solve w*f - z = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -25.2. Let z = -0.2 - -1.2. Let y = 2583 - 2583.5. Which is the closest to m? (a) z (b) y (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8013 + 8014. What is the third smallest value in -1.2, x, -4\/3, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/6 in 5, 0.5, -3, 2\/919?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 881, 797, 713, 629, 545?\n\"Answer: -84*a + 965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -9*z + 3. Let x be k(-3). Suppose -3*d + x = 3*h - d, -d - 20 = -2*h. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432)\/(sqrt(60)\/sqrt(5)))\/sqrt(6))\/(-3*(1*sqrt(3) + sqrt(3))*1).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0.486 (c) -26 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 683903 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**4 + 0*p**3 + 0*p**3 + (-2*p + 2*p + 2*p**2)*(6*p**2 + 3*p**2 - 7*p**2).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5681 + 187?\nAnswer: -5494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4)*(-6)\/21. Suppose -2*r + 6 - 2 = 0. Let x be (-3)\/(-156)*r*-4. Put -4, o, x in descending order.\nAnswer: o, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**5\/60 - m**4\/6 + m**2 - 4*m. Let a(s) be the first derivative of h(s). List the prime factors of a(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -768*j**3 + 1538*j**3 - 769*j**3 + j**2. Let r(b) be the second derivative of b**5\/5 + b**4\/4 - b. What is 3*g(z) - r(z)?\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*c + 2*t, c + t + 5 = 2*c. Is -2\/9 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -7 - 3. Which is smaller: 9 or f?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v + 2*v - 5*v + v + 3*v - 3*v - 2*v + 4*v + 0*v + (-2*v + v - v)*(-1 + 2 - 3))*((1 - 1 - 1)*(-4 + 0 + 3) + 5 - 2 - 1).\nAnswer: 27*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*g**2*x*z**4 - 2*g**2 + 4*g*x*z + 1380*x*z + 25*z**5 wrt z?\nAnswer: 708*g**2*x*z**2 + 500*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 90.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 3, -1, -9, 0 in increasing order.\nAnswer: -9, -1, 0, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 153.12*112\nAnswer: 17149.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 37?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 37 + (-27 - -11) + (4 - -3)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + 32 + 39 + -1 + -17.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-1)*(-445 - 1). Let o be i\/(-3)*3\/(-7). Let g = o + -64. Which is bigger: g or -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 5*w + 4104. Let k be w\/(-2060) + 3 + -2. Is k equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1241 (base 6) in base 12?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3474, -3481, -3466, -3417, -3322, -3169?\nAnswer: -2946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 <= 1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2))**46*(g**(-2\/3))**(-15) assuming g is positive.\nAnswer: g**(-82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 5) in base 4?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 18 = 2*g. Is (g + (2 - 4))*(-9722)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.513701km?\nAnswer: 513701000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.055002+222.7113\nAnswer: 222.766302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3.033434 decades?\nAnswer: 0.3033434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 215*w**2 - 2372*w + 121. Calculate d(11).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2608192930 by -6.\nAnswer: -1304096465\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2. Suppose 0 = -3*t - t. Let w(l) be the second derivative of -l + t*l**3 + 0 + 0*l**2 + 1\/6*l**4. Calculate w(h(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*q**3 - 104*q**2 + 396 wrt q?\nAnswer: -9*q**2 - 208*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saass. Give prob of sequence ss.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 165\/(-40) + (-2)\/(-16). Let z = 7 - 50\/7. What is the biggest value in 0.2, f, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:14 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.191599 months?\nAnswer: 0.018263325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -165\/8 + 215\/8. Which is bigger: o or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -19, -20, -5 in descending order.\nAnswer: -3, -5, -19, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0743525406 + 0.1?\nAnswer: 0.0256474594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1. Let z be 45\/(-6)*(-64)\/10. Let p be (-204)\/z + (-3)\/4. Let i(r) = 3*r - 5. Calculate p*x(a) + i(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w + 4. Let b(z) = -z**3 + 5*z - 8. Let f(c) = -2*b(c) - 5*k(c). Differentiate f(g) wrt g.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 101*t + 2833. Calculate m(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + -38. Let q be 2\/(-5) + c\/(-10). Let g(i) = -i**2 + 6*i - 4. Give g(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a millennium?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-8)\/(-10))\/(14\/1855).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6398?\nAnswer: 2, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3.5 (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21, 19, 17, 15, 13?\n\"Answer: -2*k + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnuvvnnnn. Give prob of picking 1 u and 3 n.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of (-6)\/(-2) - (-11 + 5)*505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 8*l**2 - l - 4. Let h be o(-8). Suppose -h*g - 2*m = -0*m - 4, -3*g - 11 = 5*m. Let r(v) = 6*v + 1. Is r(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/971838397 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 17*x - 34. Let m be w(-19). Find a, given that -6606*a**3 - 16*a + 6582*a**3 - 10*a**2 - 26*a**2 - 4*a**m = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000061329 rounded to 7 decimal places?\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + w + 257 = 0, 2 = w - 1. Suppose -b - 5 = -5*m + q, 12 = 2*m + 5*b. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 0 (c) -2 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (300\/165)\/((-42)\/33) + (-151)\/7?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 12*m + 35. Suppose 0 = -3*s + 2*s + 7. Let j be r(s). Suppose 29*z - 24*z - 65 = j. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-nine sixths of a week?\nAnswer: 82320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.046828786 rounded to four dps?\nAnswer: -0.0468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - (39 + 12 + -60).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = -7*c + 264. Solve d = -2*p - 7, -c*p + 2*p = 5*d + 26 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 + 1.57. Let y = -22 - -20. Let w = a + y. Round w to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703?\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -200, -4, -1, -685, 2, 3 in decreasing order.\nAnswer: 5, 3, 2, -1, -4, -200, -685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 3:35 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/8)\/q*q*q**3\/q*q)**(-25))**(4\/11) assuming q is positive.\nAnswer: q**(-675\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26967.\nAnswer: 3, 89, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7304 is divided by 7291?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-37290)\/(-17063))\/165)?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 11*r + 16. What are the prime factors of k(10)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/50635 or 1?\nAnswer: 11\/50635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 6 = 12*b. Let o(s) be the second derivative of 0*s**b + 0 + 0*s**4 - 1\/2*s**3 + 3*s - 1\/20*s**5. Find the second derivative of o(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 5:40 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3.97*6.4\nAnswer: 25.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 533829721 to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 941055.\nAnswer: 3, 5, 43, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 930 is divided by 464?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -745*w**2 - 719*w**2 + 12 + 2893*w**2 - 720*w**2 + 2 - 714*w**2.\nAnswer: -5*w**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = 10*h + 28. Suppose -h*o + 62 = -1. Solve -3*s - o = 3*v, -v - 3*v - 6 = 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0, -17.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -52220 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -3*q**4\/4 - q**3\/6 - q**2\/2 + 2*q - 38. Calculate p(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -99, -199, -315, -453, -619, -819, -1059?\n\"Answer: -t**3 - 2*t**2 - 87*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p - 1. Suppose 26 = 9*k + 4*k. Let i(c) = 34 + k*c - 20 - 12 - c. Calculate 2*i(s) + 3*l(s).\nAnswer: -4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 35*o**3 - 31730*o**2 + 300345*o + 134550 = 0.\nAnswer: -3\/7, 10, 897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 447596.1*0.21.\nAnswer: 93995.181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 653 divide 6270106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -15, 0.083, 1\/48?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((0 - (3 - 3)) + -1) - 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4221 = -528*z + 327*z for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -611623 and -611624 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h = 12. What is the remainder when (-268)\/h - 5\/(-15) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7293 and 1632.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + sqrt(272) + 3 + sqrt(272) + -1 + sqrt(272) + (2 + sqrt(272))*1 + 4 + -1*sqrt(272) + -3*-2*sqrt(272))**2.\nAnswer: 640*sqrt(17) + 27264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 + 901 = -98*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7)\/((m**(1\/9)*m*m)\/m*m*m))\/((m**(-1)\/m)\/(m*m**(2\/3)*m)) assuming m is positive.\nAnswer: m**(80\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 10487*w - 47 = -10480*w, 5*q - 10*w = 50 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (1245\/(-20) + -2)*(-6 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 143.\nAnswer: -4\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*o - 15 = -6*o, 25 = 2*i + 5*o. Suppose s = 0, -w - 5*s = 6 - i. Let p(v) = 9*v**2 + 6*v - 6. Let r(b) = -b**2 - b + 1. Calculate w*r(a) - p(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -33. Let c be (w\/6)\/(4\/(-36)). Let 4*u - u**4 - 4*u**2 + 3*u**2 - c*u + 2*u**2 - u**3 = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -82*w**3 - 15*w**3 + 17*w**3 + (-1 + 4*w**2 + 1)*(0*w + w - 3*w).\nAnswer: -88*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*v - 5*y + 218 = 0, 3*v + 3*y = 228. Suppose -5*f - v - 78 = -4*s, 4*s - 179 = f. What is the remainder when s is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b - 6*b - 36 - 108 = 0 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**3 + 36*x**2 - 48*x - 80 = 0.\nAnswer: -10, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, 6, -2 in increasing order.\nAnswer: -10, -2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 293571037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 381 + ((-532)\/140 - 1\/5). Let y = p + -375. Solve -y*x - x - 2*z = 7, 4*z - 1 = -x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 9*z**2 - 7*z - 4. Let v be j(8). Let d be 12\/15*10\/v. Put -2, -4, d in descending order.\nAnswer: d, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 1 + 1)*(0 - 5 + 2)*(-77 - 17*d + 77).\nAnswer: -102*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2565.5 to the nearest 10.\nAnswer: -2570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2ba28b7 (base 12) to base 6\nAnswer: -515113551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 6*s**2 + 2*s + 9. Let c be q(-6). Let h = 2 - c. Solve 12 = h*n + 27 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/9)\/(-1)*-3. What is the closest to u in 0.2, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 + 20*i**2 - 18*i + 5. Let w be p(9). Suppose w*x - 367 = -z, -x + 331 + 403 = 2*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148256 (base 9) to base 6\nAnswer: -1542510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 3:18 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 1\/2*w**2 + 0 - 1\/3*w**3 - 3*w. Calculate x(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2802208?\nAnswer: 2, 67, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1802, 1832, 1908, 2048, 2270, 2592, 3032?\n\"Answer: 3*d**3 + 5*d**2 - 6*d + 1800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/3)\/p**(1\/7) assuming p is positive.\nAnswer: p**(11\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -255*k**2 - 3*k**4 - 21*k**3 + 1 - 248*k**2 + 505*k**2 - 5 - 8*k**3 as y*k**4 + g*k**3 + v*k**2 + x + c*k and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/285 - 31\/95. What is the second smallest value in -4, 2\/9, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**2 + 11*h + 6. Let v(n) = -10*n**2 - 22*n - 11. Let a(p) = -11*o(p) - 6*v(p). Find the second derivative of a(w) wrt w.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5481928517 to the nearest integer?\nAnswer: 1763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.3 (c) 0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 5*w - 4*a, 0 = -4*w + 11*a - 12*a + 50. Suppose 0 = 3*o - 15, -2*r + 4*r = o - 7009. Is w\/(-18) - r\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -935 and -2.\nAnswer: -937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - -0.94. Let d = r - 1.54. Which is the third smallest value? (a) 0 (b) d (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 15490*k - 30988.\nAnswer: 2*(k - 7747)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 1 - (-5 + (7 - 0) + -7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -24*q + 1. Let r(b) = -429*b + 18. Let y(l) = -18*o(l) + r(l). Let p(c) = -520*c**2. Calculate y(p(h)).\nAnswer: -1560*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*(-28 + 26).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/21)\/(4\/36*159\/(-53))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -10*t**2 - 2*t - 4. Suppose -7*o + 3*o - 8 = 0. Let l be h(o). Let g = l + 99. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -1)\/(-2 + 57\/29). Let m be ((-12)\/8)\/(3\/(-4)). Suppose -h - m = -l. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757269949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -2. Suppose 1 = -v, v + 136 = a*s + 2*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -26 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4560 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158914, -158915, -158916, -158917?\nAnswer: -158918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o + 4*o + 60. Solve -4*g + o = 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dit when three letters picked without replacement from ddidcddtttttdddtddd.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52462\/143 or 366?\nAnswer: 366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -441, -878, -1313, -1746, -2177, -2606, -3033?\nAnswer: -3458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 85 = -3*q, q - 2*w = 2*q - 35. Calculate the remainder when 80 is divided by q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -8. Let f(k) = 8*k - 3. Is f(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 - 23*p**3 + 5*p**2 - 118 + 118.\nAnswer: -23*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**2 - 1 + 0 + 1.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence baaa when four letters picked without replacement from llbaaabll?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1283 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 799616 is divided by 442?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5400)\/62 + (-27456)\/(-283712).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -132 - 5080062?\nAnswer: -5080194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 4*i**2 - i + 3. Suppose -1 = -4*p + 5*q, -3*p + 4*q = -q + 3. Let t be n(p). Let w = 4 - t. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63608.22 minutes to hours.\nAnswer: 1060.137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3184 divided by -17\nAnswer: -3184\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 + (-1 - (-13 + 20)). Solve -4*o + b + 12 = 0, x*b = -o - 3*b - 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14302658, 14302656, 14302654?\nAnswer: 14302652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 3 + 2 - o - 4. Let y be r(2). Suppose z = 2 + y. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 37, 3, 0.3, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54033602?\nAnswer: 2, 7, 1801, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -114543 at least -113306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 29) + -9 + (8 - 3) - -33?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 893.\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -2, -5, -10?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 - 2*a - 2. Suppose 0 = -3*p + 2*p + 2. Let z be (p - -1 - 1)*1. Let q be x(z). Solve 4*b - q = -2*f, 3*b = 4*f + 8*b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.9 + 19. Let g = 2.9 + o. What is the closest to -0.1 in 3, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -349450815 divided by 7.\nAnswer: -49921545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 11*v. Let p(n) = 6*n. Let c(z) = 4*g(z) - 7*p(z). Let o(q) = -25*q**2 - q. Determine o(c(k)).\nAnswer: -100*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.165384 centimeters to kilometers.\nAnswer: 0.00001165384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3294, -6584, -9872, -13158, -16442, -19724?\n\"Answer: v**2 - 3293*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -11 + (-14)\/(-3) - (0 + 6)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82838 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 j when four letters picked without replacement from {e: 4, j: 7}?\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 -157883, 2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-2\/9)*b)\/b**(3\/7))\/(b**(-1\/8)*b**(-2\/3)*b))\/(((b*b**(-4\/7))\/b)\/(b\/(b\/(b\/(b\/(b*b\/b**(-3\/5)*b))))))**(-1\/18) assuming b is positive.\nAnswer: b**(2291\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 423\/38 in -2, -4, 1, 1\/4, -6\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5078 is divided by 1689.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/227378641 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/9 - 15739*b\/9 - 11227510\/9.\nAnswer: -(b + 749)*(b + 14990)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxy when three letters picked without replacement from xkkykykx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -529*o + 571. List the prime factors of l(-28).\nAnswer: 15383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 823*s - 464677*s - 221422*s.\nAnswer: -685276*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4949587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0001437 rounded to 3 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, l: 2, e: 2, x: 3, q: 1}. Give prob of sequence ll.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -170, -4 in decreasing order.\nAnswer: 4, -1, -4, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5 = -3*d. Let j(h) = -h**2 - 4*h + 5. Let r be j(d). Let w be ((-12)\/555)\/(5*2\/25). Which is bigger: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**6\/120 + 7*j**5\/60 - j**4\/8 - 4*j**3\/3 + 3*j**2. Let y be u(-7). Suppose y*o = 12*o + 19. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10*(7 + 18\/6). Let n = 100 + x. Solve 9*p + 13 + 32 = n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.41433273 - -1\nAnswer: -0.41433273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31406)\/(-1532) - (-42)\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -0.78 (c) -56.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -10.562, 429?\nAnswer: -10.562","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13443.\nAnswer: 3, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7270 less than -1868814009?\nAnswer: -1868806739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 13*v**2 - 32*v + 14. Calculate x(-10).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593395 is divided by 2760.\nAnswer: 2755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**6\/6 - 82*p**5\/5 + 43*p**4\/2 + 244*p**3\/3 - 413*p**2\/2 + 166*p - 4948. Let u(k) = 0. Calculate k.\nAnswer: -83, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**3\/3 + 2*b**2 + 7*b - 7. Determine u(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.7 + 1.2. Let t = 0.4 + -0.2. Sort t, 2\/11, q in descending order.\nAnswer: t, 2\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519104 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 963157.5 hours in milliseconds?\nAnswer: 3467367000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**4 + 168*n**3 - 171*n**2 = 0.\nAnswer: -57, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1302 and 45192?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 97*l*p**4 - 2*l*p**2 + 2*l*p - 29*l + 2*p**5 + 2*p wrt p?\nAnswer: 1164*l*p**2 - 4*l + 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2378144022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, o: 2, z: 5, a: 8}. What is prob of sequence zzab?\nAnswer: 2\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -34. Let o be (10\/3)\/(1566\/(-162)) - 0. Is o greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -1, 4, -29, 5, -213 in decreasing order.\nAnswer: 10, 5, 4, -1, -29, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 5*q**2 - 5*q - 2. Suppose 2629*a + 2 = -2*f + 2630*a, 2*a + 23 = -5*f. Give y(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -775 + 822. Which is the second smallest value? (a) -19 (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5611*r**4 + r**2 + r - 40.\nAnswer: 134664*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + (-1)\/3)\/(18\/(-21816)). What is the hundreds digit of ((-45)\/(-20))\/((-6)\/c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**16)**2\/(o**(-20\/7)*o*o**(-5\/9)*o) assuming o is positive.\nAnswer: o**(-1801\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 258 and 2666.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 + r - 26. Let z be i(-12). Suppose -5*f = 35 - z. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 52*k + 463. What is n(-12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 s, and 1 f when three letters picked without replacement from {o: 1, s: 1, z: 2, v: 1, f: 2, i: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13 and 10362996.\nAnswer: 10362983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27636 = -q - 187*q - 106*q. What is the greatest common factor of 8366 and q?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -107 at least as big as 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -461*o**2 + 29*o - 177. Let r(f) = 462*f**2 - 35*f + 173. Let x(m) = -6*i(m) - 5*r(m). What is the second derivative of x(w) wrt w?\nAnswer: 912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -8*m + 2*m. Let b(o) be the third derivative of 0 + 1\/120*o**6 + 0*o**4 + 7\/6*o**3 + 0*o + 6*o**2 + m*o**5. Differentiate b(p) wrt p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41989446 a multiple of 846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*1)\/sqrt(9)*-5)**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 - 9*c + 5 + 10 in the form h*c + y and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 400*c - 1091*c + 11056 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {u: 3, h: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125063047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*c**5 + 51770*c**4 - 44129315*c**3 - 933568620*c**2 - 588017920*c + 301369600 = 0. Calculate c.\nAnswer: -20, -1, 1\/3, 1736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/(-10))\/((-2)\/(7\/(49\/(-28)))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = p + 8. Let r(q) be the third derivative of -q**5\/60 + q**3\/2 + 15*q**2 + 9*q. Let k be r(p). Sort k, 0.2, 0.3 in descending order.\nAnswer: 0.3, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223224 a multiple of 786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3\/13))\/p*(p*p**(-1))\/p)**(-33)*(((p**(-2\/31)*p)\/p)\/(p**5*p))**(-2\/17) assuming p is positive.\nAnswer: p**(283144\/6851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -34140?\nAnswer: -34138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2 = -l, -3*k + 5*k + 3*l - 16 = 0. Let c(j) = -k*j + j**3 - 4*j + 6 - 2 + 4*j**2. Give c(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-344433)\/(-74)*4\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(56)\/sqrt(8)*-2 + 3 + -3 + (sqrt(21) + sqrt(63)\/sqrt(3) - sqrt(21))\/sqrt(3))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -9*y**2 + 209*y - 364. Calculate k(23).\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 8*i**2 + 10*i + 5. Determine z(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/3 - (81 - 79))*0. Let u = 9 - 4. Solve 3*l - 8*l = a - 21, a - u*l + 19 = p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*i - 1)*(i**2 - i**2 - i**3) - i**4 - 5*i**4 - 15*i**4 to the form r*i + u + j*i**4 + m*i**3 + k*i**2 and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/8 - -2)*228\/((-418)\/(-22)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3712 divided by -2.\nAnswer: -1856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -4. Is 7 a factor of ((-4)\/6)\/(n\/(-84))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*v - 624*v + 319*v.\nAnswer: 47*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**2\/2 - 4. Suppose 5*c - 6 = -5*w + 29, 4*c - 30 = -5*w. Let z(f) = -10*f**w + 316 - f**2 - 316. Give n(z(a)).\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b + 0*b**2 - 1\/6*b**3 - 2. Let w(k) be the first derivative of h(k). Let s(j) = -2*j. Determine w(s(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*l + 16*l + 11*l + 22*l as u*l + g and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**2 - 2*u**2 - 3*u**2 - 8*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1765 - 1762. Let w(q) be the first derivative of -14 - 20\/3*q**i + 0*q + 5\/2*q**2. Factor w(c).\nAnswer: -5*c*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 3. Calculate j(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 0.2, -0.3, -207?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 726\/(-21) - (14 - 6776\/539).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12134 and 16?\nAnswer: 97072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**5\/20 + 11*z**4\/12 + 5*z**3\/3 + 5*z**2\/2 + 5*z. Calculate the remainder when 14 is divided by u(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 239772217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5955174.\nAnswer: 2, 3, 110281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*o = -62*o + 297 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212 - 2?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/12949263 and 37\/1854.\nAnswer: 25898526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + (-1 + (-5*(sqrt(1900) + 0) - sqrt(1900) - sqrt(1900) - sqrt(1900)))*-5 + -4.\nAnswer: -3 + 400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**6\/75 - 8*i**5\/125 + 2*i**4\/25 - 659. Let r(q) = 0. What is q?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m - 4*m + m + 3*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1864\/242093?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2 + 32*t**3 - 1 + t + 3*t**2 - 2*t. Is c(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3617951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16453522 and 1684?\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 7*l - 39. Suppose -2*f = -3*t - 4, l*f - 3*f + 5*t = 4. Solve 0*s - f*s = 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 683 + 178. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqwkkkfakkkfkfffffkk. What is prob of picking 1 w, 1 q, and 1 f?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36838*x - 37049*x - 8440 = 0 for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2953*s - 1485*s + 2*s**3 - 1468*s + 16*s**2.\nAnswer: 2*s**3 + 16*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165645, -165640, -165635, -165630?\nAnswer: -165625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160 divided by 119.\nAnswer: -160\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**2\/3 - 787736*c\/3 - 77566000712\/3 = 0?\nAnswer: -196934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 28*b - 44. Let p be h(16). Let q = -57 + p. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 100110?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**2\/2 - 10*c - 1. Let o be m(7). Is (-2 - -3)*(o + 32) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + g - 6. Let x be f(-3). Suppose -10*r + 9*r + 26 = x. Suppose 6*j + r = 62. Calculate the remainder when 25 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**5 - 60*n**4 - 252*n**3 - 426*n**2 - 321*n - 90.\nAnswer: -3*(n + 1)**3*(n + 2)*(n + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96 - 79. Suppose -4*j - 3*d - 6 = -a, 4*j = d + 7. Solve -j - 2 = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 2:41 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 5:28 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyy when three letters picked without replacement from {k: 4, y: 7}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30252 - 0?\nAnswer: -30252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(2 + -1) + 4. Let c = 9 + -6. Factor c*f**l + f**3 - 2 + 0 + 6*f**2.\nAnswer: 2*(f + 1)**2*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-120)\/(-32))\/(-15))\/((-5)\/(-4))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 3:12 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*l**2*z - 13*l**2 + 111340*l*z + 803103*l - 289*z - 1 wrt z.\nAnswer: 4*l**2 + 111340*l - 289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -339?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 1)*(3 - 6 + 1) + 0 + 1 + 0)*(220 - 5738854*r + 5738859*r + 64).\nAnswer: -5*r - 284","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*n + 30 = -3*n, 0 = -2*n - 8. Suppose -b*r - 7 + 77 = 0. What is the greatest common factor of 70 and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 8:53 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*g + 57*g - 50*g to m*g + h and give m.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzx when three letters picked without replacement from shsshszhsvhxvsshshs.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -4*t**3\/3 + 5*t**2 - 1585. Let b(n) = 3*n - 2. Let o(h) = -10*h + 7. Let y(d) = -7*b(d) - 2*o(d). Calculate g(j) + 10*y(j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j = 0. Suppose 1 = -l + 5, j = -5*q + 2*l + 2. Let s be (-6 + 13)\/21*1*6. Solve -s*i - 2 = -q*b - 0, -2*b + 6 = -4*i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*c = 409, -u - 2*c = 3*c - 71. Let r = -58 + 2. Let q = r + u. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1899158650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 199 - 213.7. Let v = f - -10.6. Let t = v - -3.7. Which is the biggest value? (a) 1\/4 (b) t (c) 1\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 917820.5 meters to centimeters.\nAnswer: 91782050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5950*x + 7. Let w(q) = 29756*q + 39. What is -11*r(a) + 2*w(a)?\nAnswer: -5938*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -27 and 0.048.\nAnswer: -26.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - p - 14 = 0, 2*p + 22 + 2 = -5*n. Let q = -16.7 - -16.5045. Let a = -0.0955 - q. What is the nearest to a in -0.5, 1\/6, n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4*i = 0. Suppose 0*p + p - 5 = i. Suppose 4 = -p*v + 9. What is the closest to v in -1\/2, -2, -6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -192 (base 10) to base 2\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 10 - 10 - 4 + 3 + 0 + (0 + 10 - 2)*(1 + 2 - 4))*(-5*p + 3*p + p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7077365677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 + -0.03. Let s be (4\/10)\/(3\/(-75)). Let d be (-32)\/55 - s\/25. What is the nearest to i in d, 0.2, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 212454 and 165242.\nAnswer: 1487178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 181\/118 + -2\/59. Which is the closest to 3? (a) 1 (b) k (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1194*b + 413 - 363 = -317 - 827 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58184557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 5*b + 4. Let n be s(6). Suppose q - 2*q = -11. Let k = 6 - q. Sort 4, n, k in ascending order.\nAnswer: k, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 30*q + 108 - 3*q**2 - 292 + 184. Let t(a) = 5*a**2 - 60*a. Calculate -7*g(r) - 4*t(r).\nAnswer: r**2 + 30*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 580471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 14, f: 4}. Give prob of picking 2 f.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 240, 247, 254, 261, 268?\n\"Answer: 7*g + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5356?\nAnswer: 2, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*j**2 + 25*j**2 - 58*j**2)*(0*j + 0*j + j**3) + (2*j + 3*j - 4*j)*(-3*j**2 + 3*j**2 + j**4) + j**5 + 0*j**2 + 0*j**2 - 3 + 3 - j**5.\nAnswer: -16*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -9\/9763 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -6084 and -6085 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*l + 19*l - 18144 = -9*l. What is the remainder when 251 is divided by l?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 3. Suppose 3*l - 24 = -2*o + p*o, -5*l - o = -12. Suppose -h - l*r = -11, 2*h - 4*r = -6 - 2. Solve s - 2*s + h = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -29*m**2 + 127*m - 3. What is the remainder when p(3) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0343323144 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23379 at most as big as 163654\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, 241, 857, 1719, 2827, 4181?\nAnswer: 5781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17231062*i**3 - 2*i**2 - 7*i + 59944?\nAnswer: -103386372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15623\/4 + 3887. Suppose 7*b - 644 = -518. Let o = m + b. Is o >= -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3162 (base 9) to base 8\nAnswer: -4424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275207*x - 275207*x - 3*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.092085528 and 16.87.\nAnswer: 16.962085528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644497377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/29 - (-168)\/(-928).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 15*c**2 - 1425*c + 2*c**2 + 13*c**2.\nAnswer: -2*c**2 - 1425*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 104061600 rounded to the nearest 1000000?\nAnswer: 104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276671155.\nAnswer: 5, 55334231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18*2 - (6 + -10). Suppose 2*i + 0*i = v. Let b = 11 + -4. Calculate the remainder when i is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 4*q + 5. Let x be i(2). Sort x, 4, -3.\nAnswer: -3, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + 33 - 66 - 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -1\/5*g**4 + 8\/5*g - 9\/5 - 8\/5*g**3 + 2*g**2 = 0?\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8563787 + -5353789. Let c(z) = 2*z + 1. Let d be c(-2). Let p be (-20)\/30 + q\/d. What is p rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**44*a*a\/a**11*(a**5*a)\/a assuming a is positive.\nAnswer: a**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i - 75. Let r(v) = 187*v**2. Calculate r(z(y)).\nAnswer: 2992*y**2 - 112200*y + 1051875","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1. Let p(z) = -4*z + 11. Let x(h) = -6*i(h) - p(h). Let m be x(2). Let w(l) = l**3 - 2*l - 2. What is the units digit of w(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 17354 = -u + 17374, -4*v = -4*u + 2*u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*c + 104 - 564. Which is smaller: -21 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*n - 0 + 15, 2*n = -3*z - 9. What is the biggest value in -1.2, -3\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -12.699.\nAnswer: -12.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 92252 + 1214?\nAnswer: 93466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 589.6281cm to meters.\nAnswer: 5.896281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -147 (b) -4 (c) -10\/7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60.3 - -60.5. What is the nearest to f in 3, 5\/2, -6, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 9*z**5\/20 + z**4\/6 + z**3\/2 - 3*z**2\/2 - 4*z. Is l(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 + 155. Let p = t + -33. Solve 2*y = -p*y - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 0)\/2*(-4)\/462. Let v = -449\/3003 - r. Let g be 4\/6 - 5\/6. Sort -3, g, v in descending order.\nAnswer: v, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -101 + 157. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 132, 307, 484, 663, 844?\n\"Answer: m**2 + 172*m - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 778 - 12. What are the prime factors of b?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -88*b**2 + 1. Let l(o) = -3 - 2338*o**2 + 2335*o**2 + 3. Determine z(l(f)).\nAnswer: -792*f**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 6830?\nAnswer: 88790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -44 + ((-27)\/(12\/4) - -5). Let x be (-32)\/o*(-2 + 1 + 28). Solve -3*k + x = 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 0*s**2 - 15*s + 0*s**3 - 6 - 7\/12*s**4. Let r(o) be the first derivative of p(o). Let v(u) = 3*u. Determine v(r(w)).\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (19 + 627\/(-38))*8\/(-5). Sort 0.4, x, 1\/2, 9, -0.03.\nAnswer: x, -0.03, 0.4, 1\/2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64.6 + -123. Let x = 58 + y. Let m = 35 - 35. Which is the nearest to m? (a) 0 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2270 or -58993\/26?\nAnswer: -2270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -215410*c**3 - 381797*c**2.\nAnswer: -1292460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-12 - -2) - (10 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 188*j - 188. Determine k(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1466\/3037 or 1?\nAnswer: -1466\/3037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15680 is divided by 1202?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 38288 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12678)\/(-90) - 4\/(-30). Suppose -h*b + 143*b - 868 = 0. Does 62 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 - 401*t + 11808.\nAnswer: (t - 369)*(t - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34102 is divided by 3786.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16194, 32389, 48582, 64773, 80962, 97149?\n\"Answer: -k**2 + 16198*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 593909 and 519.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4640527.04 to the nearest 10000.\nAnswer: 4640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 8. Suppose 5*t + j = -3. Let l = t - -7. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1232 and -103\/45848.\nAnswer: 641872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7*u + 33. Calculate p(-21).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -6, -8\/7, 0.1744?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 - (-1 + 5)) - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 522\/(-145) - (-4)\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 2000073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (3 - -5) + -6 + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/(-520)*180\/210*70\/(-8).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115970 is divided by 3998.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/15)\/((-58)\/435)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = d - 0. Suppose -2*a = 2*k - 68, 2*k + d*k - 106 = 2*a. Calculate the remainder when k is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -283*i**4 - 7*i**2 + 7*i - 108. Let u(p) = 189*p**4 + 5*p**2 - 5*p + 72. Let w(f) = -5*g(f) - 7*u(f). What is the first derivative of w(y) wrt y?\nAnswer: 368*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 1 - p + 0*p - 5. Let c be h(-7). Suppose -c*a - 3*y = -15, y = 4*a + 6*y - 18. Calculate the remainder when 19 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*7\/(-14) + 4044\/(3 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21 (b) -0.07 (c) 2 (d) 0.17 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 9:41 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 9001933 - 22701933 = 0. Round a to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*r + 38 = -14*r. Let x = -3.6 - -4. Let i(f) = f**2 + 3*f + 2. Let d be i(-3). Which is the nearest to r? (a) x (b) -2\/13 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -2*u**7\/21 + u**5\/5 + 3*u. Suppose b(i) = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 + 343*m**3 + 5573*m**2 + 10121*m + 4890.\nAnswer: (m + 1)**2*(m + 15)*(m + 326)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a*a**(-6))\/a)**(18\/11))**(4\/3))**(-5\/12))**(-8\/9) assuming a is positive.\nAnswer: a**(-160\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1647300 divided by 10.\nAnswer: -164730","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -143*t + 146. What is b(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 262049.9 to the nearest one hundred.\nAnswer: 262000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1150*k - 4604. Give v(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*h = 143 - 217 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**6\/180 - 7*s**5\/120 - s**4\/8 - 43*s**3\/3 - 67*s. Let r(j) be the second derivative of q(j). Determine r(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 3*o - 90 = 3*p, 0 = o + 2*p - 33. List the prime factors of o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3 + 27*g**2 - 87*g - 115 = 0. Calculate g.\nAnswer: -1, 5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-40)\/1 - 0\/8. Let i be (a\/35)\/(-2*1). Let g = 0.353 - 5.353. What is the nearest to -2 in g, i, 4\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26435*v = 26258*v - 25311 for v.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285803?\nAnswer: 7, 40829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 4:22 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -355106217*g**4 - 204660999*g**2.\nAnswer: -8522549208*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**3 - 19*u**2 + 9*u. Let n(c) = -2*c**3 - 9*c**2 + 5*c. Calculate -3*b(i) + 5*n(i).\nAnswer: -i**3 + 12*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -28519572 rounded to the nearest ten thousand?\nAnswer: -28520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/190 and 29\/76?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - 8 - (0 - 78\/3). Suppose 1767 = 13*o + u. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 + -1)*(-118)\/(-236).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 312624409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 220 - 76. Let j(p) = p - 18. Let o be j(27). What is the greatest common divisor of o and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-7) + 23\/7. Let l(j) = 137*j - 11. Let h(b) = 32*b - 3. Let m(w) = 13*h(w) - 3*l(w). Calculate the smallest common multiple of 11 and m(k).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 a, and 1 v when four letters picked without replacement from {a: 2, v: 1, c: 1, z: 2, n: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*(-3)\/(-6) + 3. Let i(n) be the second derivative of -79375*n**5 - n**4\/12 - n**3\/3 + 7*n. Let k be i(a). Round k to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(-5)*-1 - (-62)\/5 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/539 and 113\/83902.\nAnswer: 6460454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 7*o - 8. Let l be a(4). Solve 3*m - l = -7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.36441l to millilitres.\nAnswer: 2364.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/55 and 7\/335?\nAnswer: 3685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.124 in 1\/7, 2\/209, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 168, 338, 508, 678?\n\"Answer: 170*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h + 14 = 4*d + 22*h, -d - 5*h + 16 = 0. Suppose -4*v = 155 + 241. What are the prime factors of d + -2 + (-1 - v)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from hhhhnhhh?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35069843 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 409847 take away 0.061?\nAnswer: 409846.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14332069.\nAnswer: 14332069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*s + 2085*s - 123915 = -s for s.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3780\/(-405) - (-12)\/1)\/((-4)\/(-18))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2201 + 20?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 6*s**2 + 2. Let j be m(6). Suppose j*w + 6 = u, -2*w - 16 = -2*u + 4. Let v = 14 - u. Solve 2*b - 20 = 5*i, 5*b + i - 23 = -v*i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 2. Let s = q + 5. Let n(j) = 17*j - 8. Let i(r) = -72*r + 33. Let f(v) = -5*i(v) - 21*n(v). Calculate f(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 + 198. Do j and 264 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -5760.\nAnswer: -5766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 71 = 1. Suppose 3 = -3*h + d. Solve -4*k + 9 = -h*s, -3*s + 3*k = 2*s + 13 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -417.271 rounded to the nearest ten?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-3 - (2 - (-10 - (-14 + -3))) - -29).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/21)\/(2\/(-14)). Calculate the common denominator of 51\/2 and j\/6 - (-218)\/84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1925\/4725 - ((-72)\/20 + 4\/(-10)). Which is smaller: j or 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3\/7 + 152*p**2\/7 - 80*p + 544\/7.\nAnswer: -4*(p - 34)*(p - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 55\/4 of a year?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/21)\/((-8)\/(-156)). Let d be (-54)\/s + (-4)\/(-26). Which is the nearest to 0.1? (a) -0.05 (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5992?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from ssssssssslsssssssss?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -722*b**3*t**2 - 2*b**3*t - 129*b**2*t wrt t.\nAnswer: -1444*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105 - 91. Suppose z = 10*c - 3*c. Solve -2*m = -8 - c, -24 = 4*j - 4*m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79867540\/27 at most as big as 2958058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 102 and 0.12?\nAnswer: 12.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2219, 2328, 2403, 2426, 2379, 2244, 2003?\nAnswer: 1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 278 + -60. What are the prime factors of k?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/2*-18*1. Let v = -111478 + 111476. Which is smaller: v or k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/78*17\/(187\/(-12))?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-5*-1*(sqrt(12)\/sqrt(4) + sqrt(3)))**2 - (sqrt(36)\/sqrt(192) - 2*(0 + sqrt(3)))).\nAnswer: 7*sqrt(3)\/4 + 296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - 132\/(-9))*30\/(-8). What is the hundreds digit of 979 - (2\/5)\/(16\/r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/5)\/(18\/70 - (-3 - (-1005)\/315))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -868, 899, 3, -0.1, 0.06, 1\/4?\nAnswer: -868","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -938441, -938437, -938433, -938429?\nAnswer: -938425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + 152520?\nAnswer: 152512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = z + 10. Let o be 3*z\/((-30)\/8). Is o not equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98805669?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 335399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/130 and 54\/5.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -78180*n - 2125. Is x(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 74?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.62 + 185.38. Let p = o + -189.000034. Round p to six dps.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/7)\/(357\/(-3332)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1958 + 0?\nAnswer: -1958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 5*a**7\/42 + a**6\/2 + a**5\/4 - 5*a**4\/4 - 5*a**3\/3 + 4*a. Find q, given that u(q) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-213759)\/(-126))\/(-87)*2\/(-6).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, o: 5}. Give prob of sequence ooz.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 7*p - 5. Let i be s(8). Let g = 14 + -8. Suppose -g + 81 = 5*b. Solve -5*j - 3*q = -8*q - b, i*j = 2*q + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2178 is divided by 70?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -837, 7\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 289 - 417. Let m = g - -225. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*l + 19*l + 18*l - 108*l**2 in the form c*l**2 + o + i*l and give c.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 126*j - 1540. Give r(12).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 + 50*i - 194. Give l(8).\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202917 is divided by 142.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 12\/5, 13 in decreasing order.\nAnswer: 13, 12\/5, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/1080)\/(-1 + 35\/40)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 4*k. Let x(o) = o**3 - 5*o**2 - 7*o + 3. Suppose -c + 0*c = -6. Let h be x(c). Let p be y(h). Solve n + p*s + 6 = -2*n, -5*s + 8 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 21*p + 1. Determine s(-21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 - -73 - 4\/(-1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**4 + 272*l**2 - 600 with respect to l.\nAnswer: 4*l**3 + 544*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4820616*i + 4820099*i + 28952 for i.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, r: 7}. Give prob of picking 1 y and 3 r.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 - (-6 + 16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/2 + (-1)\/((-23)\/(-483)). Let r(q) = -q**3 - 14*q**2 + 17*q + 12. Let m be r(-15). Is g less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 490 + -0.41.\nAnswer: 489.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -154*w. Let h = 11 + -81. Let b(d) = 9*d. Let n(f) = h*b(f) - 4*l(f). Let q(a) = 2*a. Give n(q(y)).\nAnswer: -28*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 12 - (0 - 19 - -23)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46914, 187036, 420572, 747522, 1167886, 1681664, 2288856?\nAnswer: 2989462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + 3*s**3 + s**3)*(0 - 18 - 7)*(-2 - 36 - 70).\nAnswer: 2700*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**6\/30 - z**4\/4 - 6*z**2. What is the second derivative of y(t) wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2591 (base 10) in base 5?\nAnswer: 40331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1280738899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.399 - 0.799. Let q = 0 + 0. What is the third smallest value in v, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 568, 969, 1370, 1771, 2172, 2573?\nAnswer: 2974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 6*s - 40 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 557496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 + 0.3. Let f be -4 + 1\/((-18)\/(-81)). Which is the closest to -1? (a) 0.2 (b) f (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 6:11 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4))**(-6\/11)\/(m\/m**(2\/17)*m**(-2\/17)\/m) assuming m is positive.\nAnswer: m**(452\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = 14*r - 17, -8*p = -r + 34 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by ((-156)\/65)\/(6\/(-20)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3113390966?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**4 - 9*d**3 - 30*d**2 - 38*d - 24. Let h(w) = 9*w**4 + 18*w**3 + 60*w**2 + 74*w + 48. Let r(i) = -6*h(i) - 14*o(i). Factor r(q).\nAnswer: 2*(q + 2)**3*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -894c3 + -3?\nAnswer: -894c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 9:32 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -424*v**2. Let g(i) = -6544*i. What is l(g(s))?\nAnswer: -18157348864*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*x = -75*x + 460 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2134 (base 6) to base 3\nAnswer: -200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24476755386.2244611 - 24658899298.22446. Let z = n - -182143899. Let h = 13 + z. What is h rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7 - (846\/27)\/(6\/(-603))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22930920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972)*4)\/(sqrt(324)*1))**2 + 1.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 + 1. Let n(f) = 3*f**2 - 4*f + 2. Let x(d) = -2*c(d) - n(d). What is x(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c - 86839297 + 86839297 - 6*c.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 180017465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 406?\nAnswer: -40b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -140.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c0699ec + 2?\nAnswer: c0699ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/22 and 35\/162.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + (-16 - -5))\/((-4)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**4\/4 - 24573*t**3\/4 + 34073253*t**2\/2 - 16692771495*t + 1932995884386 = 0.\nAnswer: 133, 2686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.09 (b) 0.3 (c) 8\/5 (d) -1785 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0)**(-2\/27)\/(((x**(-1\/4)\/x*x)\/x)\/x)**17)\/((x\/(x\/x**(1\/4)))**(-2\/11))**21 assuming x is positive.\nAnswer: x**(1725\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w + 2. Let m(f) = -18*f**2 - 16*f + 7. Calculate a(m(i)).\nAnswer: -54*i**2 - 48*i + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149.1 + 150.624. Round h to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9016567237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 4. Let t be o(4). Let n be 1 + (-1 - t) + -3. Let v be 4*(2 - -3 - n). What is the highest common divisor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*c + 793 - 413 = 421 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.03?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 2626892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 697 + -695. Solve -o + 5*f - 11 = q*f, -3*o = -4*f + 18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/(-9) + 0)*(363\/(-44) - -12). Solve -i - i = 2*o - v, 13 = i + 3*o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 178? (a) 2 (b) 4 (c) 21\/8843\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 29*k**2 + 2*k + 110. Let f(o) = 115*o**2 + 9*o + 441. Let v(m) = -2*f(m) + 9*r(m). Find the first derivative of v(y) wrt y.\nAnswer: 62*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4 - (-56)\/32. Solve -p*s + 6*s = -16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**2\/11 - 11292*w\/11 - 22576\/11 = 0.\nAnswer: -5644, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -31078 not equal to -31246?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 920 divided by -230.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 110, 183, 252, 317, 378?\n\"Answer: -2*y**2 + 79*y + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - (-65)\/15)*3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.21. Let p = o - -0.04. Let u be 6\/(48\/(-2)) - 10*(-5)\/(-120). Do u and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*x**3*z + 33*x**3 - 6193*x**2*z wrt x?\nAnswer: -18*z + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1738*u + 1612*u + 756 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-30) + (-888)\/(-80). Solve 5*v + 8 = -12, 3*y + v = h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from eeejjeee.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 50*d + 34. Let u(c) = -10*c - 7. Let k(w) = 3*b(w) + 14*u(w). Let r = 1331 + -1328. Calculate k(r).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512270913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 10*q**2 + 6. Let u be s(-10). Suppose g + 0*g = u. Let w = -92 - -122. What is the greatest common divisor of g and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -40. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 6:22 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504 and 504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15788413 is divided by 448?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6)*(8 + -11). Suppose q*i - 601 = 3*y - 4263, 5*y - i = 6101. Suppose 7*w = 3*w + y. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p. Let i be c(-5). What is the units digit of (-12)\/i*(-20)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -956798250 divided by -63786550?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 1028\/5) + (-3)\/(-5). Let j be (-4)\/(-18) - u\/(-216). Let m = -2\/9 - j. What is the third biggest value in m, -2, 2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 892 by -4.\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 41 = 23. Is 20 a factor of ((-150)\/(-40))\/(1\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-3\/2))\/p**2*(p**0)**(-1\/6) assuming p is positive.\nAnswer: sqrt(p)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b. Let c(y) be the first derivative of -2*y**2 - 2*y - 164. Determine f(c(n)).\nAnswer: -4*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000108901823 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48325.\nAnswer: 5, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -7 - 17. Let v(f) = 0 + c + 0*f - f - 1. Let q be v(-10). Solve 3*s + 4*h = 12, -q = 4*s - 0*h - 5*h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 - 12*d - 13. Let t(h) = -2*h**2 + 8*h + 9. Let r(m) = 5*k(m) + 7*t(m). What is the units digit of r(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 + 42. List the prime factors of q*(30\/(-35) - 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177822, 176011, 174200, 172389, 170578?\nAnswer: 168767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 937 - 834. What is the remainder when i is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67377534.\nAnswer: 2, 3, 7, 19, 23, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/49)\/(9\/(1890\/(-75)))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 63189056 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o - 4*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 6 = -26. Suppose k*t + 8 = 2*t. Let l(z) = -z - 2. What are the prime factors of l(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -0.1, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -196, -394, -590, -784?\n\"Answer: r**2 - 201*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 4415.35?\nAnswer: 30907.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 3*h + 48. Let c = -8 + h. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1699 and -151.\nAnswer: 256549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -96499.2 rounded to the nearest 100?\nAnswer: -96500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/4 - (-39)\/6. Solve -x*q - 24 = 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrkvvkwwwrvwkvwkw. What is prob of sequence kwk?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -1043151?\nAnswer: -1043155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*w - 36*w - 4*f - 72, -w + 46 = 3*f. What is the remainder when 468 is divided by w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11672039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 26 (b) -0.018 (c) 8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1140297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, z: 3, r: 1, b: 1, s: 1}. What is prob of sequence zszl?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 + -a927?\nAnswer: -a93a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1550*y**5 - y**3 + 151*y + 27?\nAnswer: 31000*y**3 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 452570591 + -472031064152\/1043. Let g = k - 418\/7. Are 1 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*p = -44*p - p + 1720 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4661, 9392, 14123, 18854, 23585, 28316?\n\"Answer: 4731*t - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1479*y - 1479*y + 467*y as p + l*y and give l.\nAnswer: -2491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.99 + 5. Let x = 0.01 - s. Which is the second smallest value? (a) x (b) -2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2806883?\nAnswer: 347, 8089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**5\/5 + 23*i**3\/6 + 30*i. What is the second derivative of y(a) wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -46. Let m(l) = 2*l - 4. Let h(c) = -c + 1. What is t*m(x) + 5*h(x)?\nAnswer: -3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 488*c + 287*c + 1 - 146*c - 1 to z*c + r and give z.\nAnswer: 629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 - 372?\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 28*z - 145. Suppose -5*t + t = -12. Suppose t*q + q = 48. What is the smallest common multiple of m(33) and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 6 - 3*s - 1 + 4. Let v be (-18)\/15 - (-148)\/(-185). Give t(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -3\/4, 1, 0.5, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q. Let o be p(1). Let l be (-3 - -42)*o\/3. Let b be 2\/l + 336\/13 - 0. Which is smaller: 25 or b?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -613 + 294 + 320 + 49*j.\nAnswer: 49*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 5*t**2\/2 - 39*t - 29. Let f be h(9). What is the third derivative of -f + 36*o**6 + 13 - 22*o**2 - 7 wrt o?\nAnswer: 4320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/4))**(-2\/33) assuming h is positive.\nAnswer: h**(1\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k + 2. Let j(t) = 590*t**2. Give j(g(x)).\nAnswer: 9440*x**2 - 9440*x + 2360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*t + 38. Calculate the greatest common factor of 84 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2284*-0.4\nAnswer: 913.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-440)*4)\/((-5)\/25).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 392783 minus 218?\nAnswer: 392565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/22 (b) 2 (c) -36.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-2)\/46 - 0). Let k = -4 - v. What is the remainder when 56 is divided by k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 3*l + 45, u + u = 5*l + 5. Suppose 3*o + 2*o - 10 = 0. Solve o*k + 3*k = -u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29413293 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyyi when four letters picked without replacement from {q: 2, z: 9, i: 4, y: 4}?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 124*r**4 - 136?\nAnswer: 496*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5223 - 5222.99995796. What is v rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070061947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 8*b + 6. Give o(-5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aabbafaaf. What is prob of sequence bbf?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -s - 42. Let g = 124 - s. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74512228 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716359.\nAnswer: 7, 102337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l = -2, -2*k = -5*l - 221. Suppose 0 = -5*j - m + 246, -7*m - k = -2*j - 5*m. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 4 (c) -2\/9 (d) 4\/15 (e) 0.1 (f) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/6 + 109*w\/6 + 37.\nAnswer: -(w - 111)*(w + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -11 (c) -35\/2636 (d) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, q: 9}. Give prob of picking 4 y.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2714920571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 1:55 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16263 is divided by 35?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + s + 2. Let w be d(0). What is the third derivative of -6*o**w - 9*o**2 + 5*o**5 + 16*o**2 + 7*o**5 wrt o?\nAnswer: 720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 4395.\nAnswer: 8790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6933612.\nAnswer: 2, 3, 7, 197, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 13*l - 5. Let x be r(13). Let m = -4 - x. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 129, 1\/11, 1, -157, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, n: 2, q: 1}. What is prob of sequence nq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3 + 194*g**2 - 9048*g = 0. What is g?\nAnswer: 0, 78, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2566 (base 10) in base 11?\nAnswer: 1a23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -820457 - 1261*a**3 + 1394*a**3 + 820457.\nAnswer: 133*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*q + 126, 3*q - 8*q = -5*l - 190. Is ((-2032)\/q)\/((-2)\/5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - z + 2, 2*l - 4*z + 7 + 1 = 0. Let k be -2 - (l + 80\/(-36)). Which is the nearest to 0? (a) -3 (b) k (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81098 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -155, -262, -393, -548?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 188921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1234739, 2469486, 3704233, 4938980?\nAnswer: 6173727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.3 - 1.3. Let q = g + -6. Let a = -678\/7 + 97. What is the smallest value in q, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 60 = 4*q, -3*x - 5*q = -0*x - 35. Suppose -2*k - 3*p + 2 + 2 = 0, k = 3*p + x. Solve -i - i = -k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*x = -2, 0*t - 3*t - 10 = -4*x. Put 4, t, 5, 1 in ascending order.\nAnswer: 1, t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 16) to base 2\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/39, -541, 5\/31, 3 in increasing order.\nAnswer: -541, 2\/39, 5\/31, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*i - 2. Let n(y) = 4*y**i - y**2 + 0*y**2. Let u(r) be the second derivative of -r**4\/12 + r. What is n(u(d))?\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7470 and 6030.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000823669 to 6 dps.\nAnswer: 0.000824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -6, 31, 92, 183, 310, 479, 696?\nAnswer: 967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 381378615 to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**5\/30 + 35*k**4\/24 - 25*k**3\/3 + 3059*k**2. Give z(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136086 is divided by 1915.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -x - 3. Suppose 0 = m - 2. Suppose -18 = -2*r + l, 1 = -r - m*l - 0. Calculate the highest common factor of r and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -19, 140, -3, -2, -4, 5 in ascending order.\nAnswer: -19, -17, -4, -3, -2, 5, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10051*t**4 - 12544*t**2?\nAnswer: 241224*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.06092ms in nanoseconds?\nAnswer: 93060920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -14*w - 15*w - 13*w + 43*w. Let x(a) = -3*a. What is -9*i(f) - 4*x(f)?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -31 (b) 0.2 (c) 475\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -3\/4, 0.4, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/4)\/(0 - 1). Let h = q - 15\/4. Put 1\/5, h, -0.3 in increasing order.\nAnswer: -0.3, h, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 6*l - 9. Determine r(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 374 + -239. Let j = d - 132. Solve -4*h - j = -2*i - 7, 4*i + 5 = 5*h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 2*g**2 + 2*g. Determine y(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.9981895 - 0.0018005. Let o = v - -15. What is o rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10470 and 140.\nAnswer: 146580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2195 divided by 439.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2057713 and 11163.\nAnswer: 6173139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c + 1. Let v be u(-2). What are the prime factors of (12\/v)\/(3\/(-21))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 924 = 928*x - 1005*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*j**3 - 2077867*j**2 - 11257 - 2*j**4 + 1216*j + 2077867*j**2 wrt j?\nAnswer: -8*j**3 - 9*j**2 + 1216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6162 + -170?\nAnswer: -6342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -21, -17, -1683, -5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**2 + 4643*j - 24. Let q(k) = -2*k**2 + 4642*k - 16. Give -3*q(h) + 2*t(h).\nAnswer: -2*h**2 - 4640*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 6*m**2 - 2*m**2)*(0 + 6*m**2 + 0 + (-m - 2*m + m)*(-3 + 2*m + 3) + m**2 + 0*m**2 + 0*m**2 + 0*m**2 + 3*m**2 - 4*m**2).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-2)\/3 - (-7)\/11). Let f = 43 + u. Solve -3*g = i - 2*g + 3, 2*g + f = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 3*r + 0*r + r - 7. Let z be m(-7). Solve 3*n + z = -x - 14, -4*x = -n - 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - a - 2. Let j = 8 - a. What is the lowest common multiple of 11 and j?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/2)\/c)\/c*c*c\/(c*c*c*c\/c**(1\/5)*c*c)*c)\/((c*c**(-4\/3)*c)\/c**(-3)) assuming c is positive.\nAnswer: c**(-239\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/3 + 7*h**3\/3 + h**2\/3 - 16*h\/3 - 4.\nAnswer: (h + 1)*(h + 2)**2*(2*h - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y\/(y*(y\/(y**(-8)\/y))\/y))))\/y**(-10))\/(y**5*y*y*y*y**(-1\/3)) assuming y is positive.\nAnswer: y**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8143 by -3062.\nAnswer: 8143\/3062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i, 3*i - 28 = -4*f + 7*i. Let s = f + -10. Is 6\/9 - 265\/s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.5 - -0.4?\nAnswer: 118.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/12177 and -61\/9.\nAnswer: 12177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 183*w + 1062.\nAnswer: (w - 177)*(w - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**4 - g**3 - g**2 + 1. Let y(f) = 6*f**4 + 4*f**3 + 4*f**2 - 9. Let h(u) = 4*v(u) + y(u). What is the first derivative of h(w) wrt w?\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 875291 + -0.2.\nAnswer: 875290.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**3 + 13*p**2 - 7*p + 7. Calculate the remainder when 13 is divided by g(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -173*x**2 - 194*x + 13. Let i(s) = 57*s**2 + 64*s - 4. Let p(f) = -7*i(f) - 2*l(f). Find the second derivative of p(j) wrt j.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 2. Calculate the remainder when 7 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -335 divided by 77?\nAnswer: -335\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 1920 = -11*c. What is the common denominator of (-2 + 24)*(-40)\/c and 29\/33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/6156 and 25\/1368?\nAnswer: 12312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1079, 2253, 3601, 5195, 7107, 9409?\n\"Answer: 12*u**3 + 15*u**2 + 1045*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/120)\/(1050\/675).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 405.771725 rounded to 0 decimal places?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 282 minus -120.5?\nAnswer: 402.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*65617.\nAnswer: 262468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**4\/12 + y**3\/3 + y**2\/2 + 2*y. Let u be t(-4). Let k(j) = j**2 - 3*j - 7. List the prime factors of k(u).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by -164 + 227 + (1 - 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 139 - 78 - 68 - 13*n. Let s(i) = -7*i - 4. What is 3*f(y) - 5*s(y)?\nAnswer: -4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1733 + -1713. Solve -4*w + p = 4*s, -2*s + 5 = -5*w + 3*s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*z = 3*r - 31, 3*r + 7 = 5*z. Suppose -r = -2*i, 3*p + 0*i = 4*i - 6. Let c(w) = 25*w + 1. What is the remainder when c(p) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q - 325197 = -4*s - 28*q, -81324 = -s - 7*q. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 t, 1 a, and 1 w when four letters picked without replacement from qfttsawqffts.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19 - 65 + 30 + 1141*v**3 - v wrt v.\nAnswer: 6846*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269193437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68\/(-30))\/17*20.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 5*p + 16 = 0. Suppose -g = -5*z - 390, 4*g + 13*z - 1608 = 9*z. Let o(i) = -4*i**3 + 401 - g - i**3 + p*i. Determine o(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 231*j**3 + 31*j - 5.\nAnswer: 1386*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + t - t)*(-t + 10*t + 0*t) + (-t - t + 4*t)*(2*t + 0*t + 0*t) + (2*t + 3 - 3)*(-t + 3 - 3).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 18. Suppose -a + l = a. Solve a*i - 4*j - 19 = 3*i, -4*i = 3*j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 4*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 4\/15*t**6 + 1\/5*t**2 - 26\/25*t**5 + 3\/2*t**4 - 14\/15*t**3 + 50 + 0*t. Factor p(f).\nAnswer: 2*f*(f - 1)**3*(4*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + l**2 + 3*l + 4. Let r be g(3). Let n(b) be the first derivative of -b**3\/3 - 7*b**2\/2 + 2*b - 1. Is 12 a factor of n(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, h: 1, x: 6, k: 3, d: 3, r: 1}. What is prob of sequence khx?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*p - 21 = -71*p - 5*f, 3*f = -2*p - 29 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35220 and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2597, 9273, 20413, 36017, 56085, 80617, 109613?\nAnswer: 143073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2197, 2264, 2333, 2404, 2477?\n\"Answer: m**2 + 64*m + 2132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 721610371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 - 51. Suppose -3*d = -4*d + 4, 0 = -h*n - d. What is the nearest to -6 in n, 3, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4922403 (base 10) to base 11.\nAnswer: 2862302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 12*z + 31. Let f be m(9). Suppose 9 = f*p + 12*t - 9*t, 0 = 4*p + 5*t - 7. Solve r - 4*k + 17 = 0, 5*r - p*r = k - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607157 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*w + 15407 - 15771 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312531, -312542, -312575, -312642, -312755?\nAnswer: -312926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2621, -10586, -23861, -42446?\n\"Answer: -2655*a**2 + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - -1. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1583 - 1583 + 43*u)*(-u**2 - 6*u**2 + 4*u**2) + 16*u**2 - 16*u**2 - 2*u**3.\nAnswer: -131*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1081, -2\/25, -4 in descending order.\nAnswer: 1081, -2\/25, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**4 - j**4 + 2*j**3 - j**4 + (29 - 29 - 10*j + (1 + 2 - 2)*(-j - j + 4*j))*(-36*j**3 + 190*j**2 - 190*j**2).\nAnswer: 290*j**4 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50.2 + -50.6. What is the fourth biggest value in o, -0.5, 0.042, -1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 23*j + 12. Let s be 0 + (15\/(-18))\/(1\/(-6)). Let h be -2*s\/(-20)*26. What is the tens digit of x(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r - 10 = 0, 0 = 3*d + 3*r. Suppose 0 = -u - 5*h - 14, 2*u + d*h = u - 14. Let q be (-24)\/108 - u\/(-18). Is -6\/29 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 254646411 (base 7) to base 12\nAnswer: 5528879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5023?\nAnswer: 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39271?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -176 + 186. Calculate the remainder when 25 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*1\/12*4 + 57. What is the second derivative of 9*i - 14*i**5 + 19*i + 6*i - g*i**5 wrt i?\nAnswer: -1420*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -151409881.46182 and 2.\nAnswer: -151409879.46182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 + 131. Let u = 56 - q. Let p be u + -1*(-12)\/(-8). Which is the nearest to 1? (a) p (b) 2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3504515494 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 5987.\nAnswer: 2993.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/15 and -16\/900225?\nAnswer: 900225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1*q)\/(q\/(q*q**(1\/9))))**(-11\/2) assuming q is positive.\nAnswer: q**(-209\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/1302)\/((-335)\/(-804)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30096)\/3168*60\/(-19).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 2*i + 110. Let f = 34 + -22. What is the smallest common multiple of 28*2\/6*f\/8 and i?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5210 - 2.5\nAnswer: -5212.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4150 in 1, 10, 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17536 is divided by 122?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 605966366429 and -7.\nAnswer: 605966366422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06337 + -0.00529. What is b rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 11. Let b be u(10). Let v be 8 + -8 + b*5. Suppose z + v*x = 648, 2*x - x = -2*z + 1341. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, l: 11, j: 1}. Give prob of picking 1 k and 2 l.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 15\/2 + 1\/4*k**2 + 13\/4*k = 0. What is k?\nAnswer: -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 6*t + 10. Let s be h(9). Suppose -m = -2*y - s, 173 = 5*m - y - 3*y. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) + (-2 + sqrt(2057))*-3 + sqrt(2057) + (sqrt(68) - (1*(sqrt(68) + 1*sqrt(68)) - sqrt(68)) - sqrt(68))\/sqrt(4).\nAnswer: -12*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t - 5*t + 0*t - 3*t.\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**3\/6 - 15*h**2\/2 - 7*h. Let g be t(-15). Solve g*q - 2*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (468*g**3 - 1155*g**3 - 1190*g**3)*(-23*g + 53 - 53) to p + t*g**4 + z*g**2 + i*g**3 + u*g and give t.\nAnswer: 43171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8685387 to the nearest integer?\nAnswer: 2947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(245)*-1*-3)**2 + -3 + (sqrt(245) - (-4*(sqrt(245) + -1))**2) + -5)*1.\nAnswer: -1741 + 231*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 0, 0.04, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + r + 3*r)*(18 + 4 + 26)*(2 - 4 + 1).\nAnswer: -96*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0351 and -1?\nAnswer: 0.0351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - s**2 - s. Let o(i) = 10*i**5 - 2*i**3 - 2*i**2 - 10*i. Let g(m) = -o(m) + 2*p(m). What is the second derivative of g(n) wrt n?\nAnswer: -200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (115\/(-10))\/23*14\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 8*d + 11. Let s be l(5). What is the common denominator of 2 + (-115)\/20 - s and 95\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 29.2. Suppose -15 = r - 17. Suppose 0 = 3*v + 3*p - 9, 5*v - r*p = 4*v + 9. Which is the closest to 2\/7? (a) v (b) q (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 7:07 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 14 + 44 + -28.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w. Let n(r) = 2*r + 260485. Calculate q(n(l)).\nAnswer: -2*l - 260485","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 4:17 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -5*y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*o = 1648, -a = a - 2*o - 824. Differentiate 104*f + 27*f - 34*f - 317 + a wrt f.\nAnswer: 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 851328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -11991, -4\/5, 0?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: -2162401 (base 7) to base 16\nAnswer: -41482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1455\/(135\/10 + -11). Solve -590*q = -z*q - 32 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 78*n + 428. Let o be c(0). Solve o - 410 = -9*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/(-5))\/(1\/(-215))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2600947761\/920 + -2827119. Let t = 581\/8 + -66821\/920. Let p = t + r. Find the common denominator of 17\/6 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.22 - -0.78. Let l(u) = u - 2. Let k be l(3). Which is the nearest to f? (a) k (b) 0 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (36\/(-15))\/((-16)\/40). Suppose -3*a - 3*p = -3171, -6 + 1 = -p. Suppose -2*i = -j*i + a. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -176*x - 32. Let s(c) = -27*c - 5. Let a(y) = -5*l(y) + 32*s(y). Is 13 a factor of a(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 352, 8 in descending order.\nAnswer: 352, 8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -216 + 242. Suppose 11 = f - 2. What is the highest common divisor of f and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 divided by -1.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 32*u**2 + 3*u - 1. Let v be h(4). Let w = -303 + v. Suppose i - 3*i = -w. What is i rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 26.05937 micrometers?\nAnswer: 0.00002605937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -12. Let t(v) = 2*v - 44. Let a be t(22). Suppose a = -c*m + 8*m + 8900. Round m to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1777*j - 75345 = 453*j - 3699*j for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*t + 11 + 6, -n = t + 21. Let f be (-12)\/(-22305)*n\/(-10). Let d = f - -28239\/10409. Calculate the common denominator of -101\/10 and d.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(76)*2*-6 - (sqrt(76) - (sqrt(76) - sqrt(76)*-1*-1 - sqrt(76))))\/(-2*sqrt(144) - sqrt(20)\/sqrt(5)*1).\nAnswer: 14*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458320851?\nAnswer: 3, 103, 494413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 2. Determine y(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 2*x - 46059, -5*l + 5*x + 44432 + 1648 = 0. What are the prime factors of l?\nAnswer: 3, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 0 - 4*-1. Let r = 0.03 + -0.03. Which is the third smallest value? (a) r (b) v (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1 - 107*s**4 + 14 + 124*s**4 wrt s?\nAnswer: 68*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -379 divided by -8?\nAnswer: 379\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 248 + -80. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -466569818 and 0.2.\nAnswer: -93313963.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18160 is divided by 127?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/1237 + -2469\/6185. Let n = 0.16 + -0.2. What is the nearest to p in n, 3\/7, 2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 44*r + 278. What is the hundreds digit of d(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152.27574 months to centuries.\nAnswer: 0.12689645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42 + -122164?\nAnswer: -1221a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 2. Suppose 2*z - 11 = -3. Let u be g(z). Suppose -u*o - 18 = -60. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12989*z**3 - 14315*z**3 + z + 19406*z**3 + 1426*z**2 - 2*z wrt z.\nAnswer: -47388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**2 + 6*w + 20. List the prime factors of o(-7).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynannnnnnnnacn. Give prob of sequence ac.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 5*w**2 - w - 3. Let x be (-1 + -2)*(-3 + 5). Let c = -11 - x. What are the prime factors of k(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 74265156, -3, 2 in ascending order.\nAnswer: -3, 2, 74265156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 244528 divided by -61132?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7209367mg in kilograms?\nAnswer: 0.0000007209367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1538*w + 126114. Determine g(-82).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3946*a + 121551 - 341172 = 491*a - 584*a for a.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 3 - 3)*(-2*r + 2*r - r) + r + r**2 - r + (-6*r + 0*r + 3*r)*(3 - 3 + 2*r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -114, -234, -356, -480, -606, -734?\n\"Answer: -x**2 - 117*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -v - 4*c + 31, 3*c - 117 = -5*v. What is the remainder when v is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6743464.\nAnswer: 2, 7, 13, 59, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 160\/600*((-177)\/(-6) + -2 + 0). Let y(n) be the first derivative of 0*n + 16*n**2 - 36 + g*n**3. Find the second derivative of y(t) wrt t.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - j + 39, 4*j = -777*m + 781*m - 220. Calculate the highest common divisor of m and 48128.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.487 - 0.013. What is the closest to -4 in z, -5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 2*m = 15. Suppose 4*j - 13 = -k, -2*j + 13 + 6 = m*k. Suppose -n - j*n + 9 = 0. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-248)\/624 - (-2)\/12).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 852.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*s + 37 = -0*t, -55 = -4*t + s. Suppose -47*c + 45*c + 3*m = -t, 0 = 4*m - 8. Solve u - c*u = -45 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26150 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*q - 3*t - 11 = 0, 0 = -t - 1. Suppose 0 = 2*h - 6*j + 2*j - 90, -5*h + 273 = q*j. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + 441\/(-45))\/(-2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5 = 0, 3*n + 2 = n + 4*y. What is the nearest to -0.1 in n, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -677 - -9495\/14. Let t = 7\/747 + -17987\/2078901. Let b = t - 364585\/16698. Find the common denominator of f and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 5*p - 12. Find the second derivative of 0*r + 4*r - p*r**5 - 2*r**5 - r wrt r.\nAnswer: -160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 9:04 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -7.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 - 17*u - 8. What are the prime factors of c(-7)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5\/449 (b) 0 (c) 3 (d) -1\/4 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((8 - (-38 + -14 + 10)) + -5) - 11\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111.918 - -112. Let v = i + 0.618. Which is smaller: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 173*w**2 + 663*w - 12. Calculate the least common multiple of 704 and j(-4).\nAnswer: 9152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*n + 138. Suppose n = -4*w + 485. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 204*r**3 + 3*r**2 + 2*r + 412*r**3 - 37*r**4 + r**4 - 207*r**3 in the form b*r**4 + z*r**3 + k*r + w*r**2 + l and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-4))\/q**(-1))**(-20\/9) assuming q is positive.\nAnswer: q**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 5 + -9 - (-256)\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1587*h + 7 - 4 + 10817*h.\nAnswer: 9230*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79637, 318036, 715369, 1271636, 1986837?\nAnswer: 2860972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 2004.\nAnswer: 200.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10811 divided by -1.\nAnswer: -10811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 4. Let f be v(3). Suppose -f*z + 3*z = -34. Solve -o - 4*l = z, 11 + 7 = -2*o - 4*l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 27*y**3 + 2*y**2 - 6*y + 1. Let h be q(2). Let g = h + -194. Solve 5*p = 2*i + 5, -4*i + 0*p - g = -p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -508 - -4826. Let n = r + -4318.02987. Let x = n - -0.03. What is x rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.83 - 18.837. What is h rounded to 2 dps?\nAnswer: -1.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**2\/2 - 4*a + 1. Let g(q) = -4*q - 20. Let b be g(-6). Give r(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**3 - 2729*w**2 - 496*w - 27296. Calculate z(546).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(21)\/sqrt(3)) + 0 + sqrt(48))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.6 >= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1554, -1540, -1512, -1464, -1390, -1284?\nAnswer: -1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 270 = -0*k. Does 27 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -1121032023210?\nAnswer: -1121032023220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u = 12. Let j(a) = -a. What is the lowest common multiple of 1\/((-2)\/(-6)) - -1 and j(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*g + 82, 2*c + 20 + 11 = g. Let d be 9*c\/(-243)*10\/(-4). Let x = 368 - 721\/2. Sort d, -3, x.\nAnswer: -3, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-528)\/(-5))\/(6 + 29\/(-5)). Suppose 34*m - q = 28*m. What is the highest common divisor of m and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/5, -0.0384 in descending order.\nAnswer: 2, -0.0384, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6) - 23433\/36. Let d = z - -640. Find the common denominator of 51\/8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = m + 4*v, 9 = -m + 7*v - 3*v. Suppose -95 = 2*s - 111. Let k = m - s. Solve q = -4*f - 16, -2*q - 17 = k*q - f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 223*l**2 + 1 - 10*l + 4*l + 6*l.\nAnswer: 223*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3 + 2. Solve -b - 4*b = -x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4526509 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -50*g**5 + 1865*g**4 - 18905*g**3 + 75255*g**2 - 110925*g + 27000 = 0?\nAnswer: 3\/10, 3, 5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/14 - (-1500)\/(-105). Let x = 1 - p. Solve -4*w - m + 4*m = x, m = 3*w + 10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(0 - (1 - -1)). Suppose n + 20 = -3*n, 2*k + h*n + 16 = 0. Let d(v) = 3*v + 2. What is the units digit of d(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13416*d**2 - 347 - 327*d + 347 + 327*d to g + f*d**2 + j*d and give f.\nAnswer: 13416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 2*s - 6. Let b be c(-2). What is the second smallest value in 18, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggfgggggggggggg. Give prob of picking 4 g.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 5:31 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 110?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 11*u - 16*u. Suppose -4*h = -u - 23. Differentiate -4 - 2*x - h*x - 8*x - 10 wrt x.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k - 1072*k = 5208*k + 172898 + 208779 for k.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(((r*r**1)\/r*r)\/r))\/r*r))**(-42)\/(r**1\/r**1)*(r*r*r\/r**(-6\/11)*r)\/r**(-4)*(r**(-2\/5))**(-17\/6) assuming r is positive.\nAnswer: r**(-5333\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 19*j - 16. Determine v(20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2424 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f**2 + 19*f**4 + 2*f**3 + 2*f**2 - 4*f + 1783 + 6*f - 1790 - 4*f**2 as t + j*f**2 + k*f + p*f**3 + r*f**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5082*m**3 - 45*m**2 + 243*m - 45. Let n(t) = -231*t**3 + 2*t**2 - 11*t + 2. Determine 2*g(h) + 45*n(h).\nAnswer: -231*h**3 - 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + n + 0*n + (-1 + 1 + 2*n)*(4 + 2 - 4).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -96.084.\nAnswer: 95.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -1.08572\nAnswer: 0.217144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-2))\/(25\/(-210)))\/((-1)\/(-5))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -267 - -415. Suppose 0 = -2*n - 4*s - 44 + 318, -22*n + 3254 = 4*s. Which is smaller: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1676 and -252.452.\nAnswer: -1928.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44758084 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 335?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**5 - 364*w**4 - 2292*w**3 - 3492*w**2 = 0. Calculate w.\nAnswer: -3, 0, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/9 + 82306538*o**2\/9 - 282265271948816*o\/3 + 94088414837768 = 0. What is o?\nAnswer: 1, 20576634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 0 - (91 + -92 + (80 - 4)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1434410.7s to minutes.\nAnswer: 23906.845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.796 * 0.005\nAnswer: 0.00398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3*n + n - 28, 8 = 2*c - 4*n. Suppose 0 = u + u - 6. Suppose -s + u*s = 22. What is the lowest common multiple of s and c?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r**(1\/3)*r)\/r))\/((r*r\/(r*r\/(r\/(r\/(r\/(r**(-8)*r))*r)*r)))\/r))\/(r**(-1\/3))**47 assuming r is positive.\nAnswer: r**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4))**(-47)*(s\/(s\/s**(-5)))\/(s\/((s\/s**0)\/s)*s)*(s*s**4*(s**(-1\/4)\/s*s)\/s)**(-8\/9) assuming s is positive.\nAnswer: s**(17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 39*z = 1920. Which is greater: z or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*r = -66 + 256, 0 = -3*r - 12. Let t = y + -99. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**2\/2 - 11*g - 3. Let u be f(10). Is 14 a factor of (u - -2)\/((-2)\/(-194))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, y: 5, t: 1, p: 4, x: 3, c: 4}. What is prob of sequence tcp?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(0 + 3 - 4)*(-8 - 24*v + 8).\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20231333 (base 4) to base 16.\nAnswer: 8b7f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20947514587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0423 + 2.\nAnswer: 2.0423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.15 - -15.45. Let p = u + -16. Let n = 33\/4 + -9. Which is the closest to 1? (a) -0.2 (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 14*b - 13. Let z(c) = -c**2 + 5*c + 4. Give -3*v(q) - 8*z(q).\nAnswer: 2*q**2 + 2*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(-2) + (-2970)\/60 + 51.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1988)\/8 - -4)\/3*-46. Suppose a + r - 281 = 472, 3*r = 5*a - c. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200122 is divided by 20012.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-1527)\/(-12))\/1)\/(1\/4). Let y(z) = -509 - 2*z + j. Let f(p) = -13*p. What is f(y(m))?\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxhhhhdoqqqxhhodrhhh. What is prob of picking 1 o and 1 q?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-63)\/42)\/((-246)\/(-45)). Let q = o + 1\/41. Do 1.21 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7054961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 539903?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 3*i + i)*(0*i + i**2 + 0*i) - 30*i**3 - 18*i**3 + 13*i**3 + (-3 + 3 + i)*(-i**2 + 2 - 2).\nAnswer: -38*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*i + 195 + 178 + 68 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2510 (base 9) to base 8\nAnswer: -3520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-1))\/1 + 0\/3. Let u(j) = -13*j - 11. Let r be u(8). List the prime factors of 138\/r*(-10 - 0)*h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -1\/140*c**5 + 0 + 104*c**2 + 0*c + 0*c**3 - 1\/56*c**4. Factor x(w).\nAnswer: -3*w*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**15*b*b*(b\/(b*b*b**(-8)*b))\/b assuming b is positive.\nAnswer: b**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 392*v + 0 + 316*v.\nAnswer: 708*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 346, -0.0375, 0.2, -512 in increasing order.\nAnswer: -512, -0.0375, 0.2, 346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3788?\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 15 - 192 = 0. Suppose 3*j + z + g = j, -2*j = -5*z + 63. Let n = j + 38. Solve -12 = 3*y, l + 3*l = n*y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 73*p - 1023. Let g be q(-19). Put g, -3, -98 in descending order.\nAnswer: g, -3, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 0.4, -0.1, 0.211 in increasing order.\nAnswer: -0.1, 0.211, 0.4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4489\/7 + 641. Put s, 4\/21, 0 in increasing order.\nAnswer: s, 0, 4\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -222499788*n**4 - 2*n**2 + 295555310*n wrt n?\nAnswer: -2669997456*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 5038\/15781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19739065?\nAnswer: 5, 71, 55603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**3 - 2*r**2 - 2*r + 7. What is the hundreds digit of k(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331 + 152 - 638 + 155 + o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -90020, -179133, -268246?\n\"Answer: -89113*j - 907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -6, 5662, 0.3, 14 in descending order.\nAnswer: 5662, 14, 0.3, -3\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.41899 days to nanoseconds.\nAnswer: 4788200736000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 5*v**2 + 3*v + 4. Let i be t(4). Suppose 0*u = u. Suppose u = 4*y + 4*x - 4, 1 = -4*y - x - 1. Put i, 2, y in increasing order.\nAnswer: y, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-84)\/(-72)*9 - 10)\/(4\/(-8)). Let u = 1 + 0. Let x(h) = h + 1. Let l(z) = -3*z + 2. Give c*x(y) + u*l(y).\nAnswer: -4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2878*p**2 - 475*p**2 - 453*p**2 + 3850*p**2.\nAnswer: 44*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*42 - -9 - 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxnxnbxxqnq. Give prob of picking 1 q, 2 x, and 1 n.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1558.9826 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260, 180, 100, 20?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.2 (b) -13.3453 (c) -6 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -88b - -4?\nAnswer: -887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*y + y - 4, -3*m - y - 12 = 0. What is the nearest to -1 in m, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 2 = -7*v. Let z(o) = -2*o**2 - 14*o - 7. Let a(p) = -p**2 - 7*p - 4. Let j(c) = v*z(c) - 5*a(c). Determine j(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (-1039 - (0 + -2)). Round s to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 3618*i - 3616*i + 14 = 0, m = -5*i + 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t + 25*v + 290 = 11*t + 23*v, -5*t - 5*v + 59 = -2*v for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -g, 5*w = 217166*g - 217163*g + 26 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((82\/8)\/1)\/(6\/24). Suppose -3*u = -o + 122. Which is smaller: u or -25?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from {j: 2, a: 5, x: 3, b: 3}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*t - 0 + 16, 5*w - 25 = 5*t. Calculate the smallest common multiple of w and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 - (168 - 25) - ((2 - -1) + 0).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 101, 265, 587, 1145, 2017, 3281, 5015, 7297?\n\"Answer: 13*u**3 + u**2 + 70*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 5. Let t be (-1)\/((-2)\/48 + w). Suppose s = -s + t. Solve y = -4*v + 12, 5*y - s = v + 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 9117086?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46.24 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 11*c - 7. Suppose -7 = -3*q + 4*r, -4 = -2*r - 0*r. Does 16 divide d(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 4*k + 13, 43*z - 52*z - 3*k = 57 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3\/7 - 32*g**2\/7 - 92*g\/7 + 120\/7.\nAnswer: 4*(g - 10)*(g - 1)*(g + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*2*sqrt(5) + (sqrt(720) - sqrt(720)*-1*1)**2 - -2*(-3 + 2*sqrt(605)*-2)**2.\nAnswer: 516*sqrt(5) + 22257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2719780494 to the power of 1\/2, to the nearest integer?\nAnswer: 52152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 44 = 8. Let g(t) = t**2 + 10*t + 8. Let y be g(u). Let h = -2 - -3. Which is the biggest value? (a) h (b) 1\/5 (c) y (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 109050f + 5?\nAnswer: 1090514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**2*z**3 + 31623*u**2 + u*z + z**3 - 65*z**2 wrt z?\nAnswer: 12*u**2*z + 6*z - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.22 - 0.28. Is r bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*w**4 - 154 + 154 + (-3 + 1 + 1)*(w**4 - 4*w**4 + 2*w**4).\nAnswer: -33*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*q**2 - 17*q**2 - 37*q**3 - 42*q + 9 + 27*q**3 = 0. Calculate q.\nAnswer: 3\/10, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - 5*q + 2*q)*(5 + 1 + 3)*(1 - 1 - 3*q) + (-1 + 1 - 2*q)*(2*q + q - 5*q).\nAnswer: 220*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 17, 53, 125, 245, 425?\nAnswer: 677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w = -9*r - 24*w + 12, 4*w = r + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1626*i + 750*i + 735*i - 423 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 4*t**4 - 3*t**2 - 44*t + 44*t - 2*t**3 to the form z*t**2 + i + f*t**3 + y*t**4 + g*t and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, -4, -1, 5 in decreasing order.\nAnswer: 94, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppcc when four letters picked without replacement from {c: 15, p: 4}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 387542?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/790 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 16296 divided by -3\nAnswer: -5432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 169\/8 + 31\/8 + -4?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 - 2 + 11*f**3 - 3*f**3 - f**3 - 5*f**3 to the form s*f + u*f**3 + z*f**2 + q and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 n, and 1 z when four letters picked without replacement from cznzzczzccznnznz?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-8)*-1 - 118\/(-16). Let v(s) = s**3 - 6*s**2 - 8*s - 5. Determine v(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21924 rounded to two dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2)\/((-2)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 1) + (16 - 34) - (8 + -23 - 140)\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajv when three letters picked without replacement from {v: 1, i: 2, j: 2, a: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 960 = 2*r. Let q = r - 94. Solve -3*x + 13 = -i, 3*x - 5*x + q = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*((-136)\/119)\/((-19)\/((-665)\/30)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2841 divided by 947\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(152) - sqrt(152)*-1))\/(-1*sqrt(8)*-6).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 182 in 0.4, -4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 46*n**2 + 96*n - 3. Let s be d(-48). Let i = -1 - 4. Let a(b) = b**2 - 3*b - 5. Let x be a(5). What is the second smallest value in s, x, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4032*p**3*t + 62*p**2*t + 5482*p + 10*t + 25 wrt p.\nAnswer: 24192*p*t + 124*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 12:26 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 299112.\nAnswer: 897336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 282, 421, 560, 699?\nAnswer: 838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 370*p - 32. Let x be u(-8). Let n = x - -23965\/8. What is the common denominator of -49\/40 and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5057.012ml in litres?\nAnswer: 5.057012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23032469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.46 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j - 62 - 7 = 0. Suppose -5*f = -4*f - 6. What are the prime factors of 2 + f + (-6)\/j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28782 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*c - 1320 = 299*c - 14522 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - ((sqrt(132) - ((sqrt(132) - 1*sqrt(132)*-5) + sqrt(132))) + sqrt(132) - sqrt(132)))\/sqrt(12) - (-5 + sqrt(33)\/sqrt(3) - sqrt(11))**2*-1.\nAnswer: 7*sqrt(11) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15176.\nAnswer: 2, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 + 11*x + 6. Let d be p(-5). Put 3, -3, 0, d in decreasing order.\nAnswer: 3, d, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence erj when three letters picked without replacement from rjrezzrwzkeree?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15472\/3 - 5137. Calculate the common denominator of -71\/1677 and b.\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/16)\/(9*1\/8). Factor 0*c**2 + 1\/3 - d*c + 2\/3*c**3 - 1\/3*c**4.\nAnswer: -(c - 1)**3*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -9*a + 7*a + 3 + 100*a**2 - 4. Let h be x(-1). Suppose 4*r = h + 87. Round r to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 + -272 + -1 + (-3 - -17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = 6*g - 183. What is the remainder when 43 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66325, -132762, -199211, -265678, -332169, -398690, -465247, -531846?\nAnswer: -598493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2092.7*-0.4.\nAnswer: 837.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = 2*m - 5*m. Let q = 49 - m. Suppose 0 = -2*t + q + 84. 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: Put 1\/8, 236, -2, -51\/2, 2 in increasing order.\nAnswer: -51\/2, -2, 1\/8, 2, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*d**3 + 8*d**2 + 60*d?\nAnswer: -42*d + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**3 + 33 - 62*k**3 - 33.\nAnswer: -49*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z + 20. Let u be f(-9). Let m be 14\/4*(-6)\/u. Suppose -5*g = -4*x + 126, -5*x + 96 = -2*x - m*g. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2 (b) 55 (c) -1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5974\/3 + 1930. Let i = k + 62. Factor 5\/3*b**2 + 0 - i*b.\nAnswer: b*(5*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 789193278 to the nearest integer?\nAnswer: 28093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004157818095 to six dps.\nAnswer: -0.004158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-2)\/4)\/((-40)\/(-544))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.518 rounded to one dp?\nAnswer: -64.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6 = -s, -4*s - 1 = -2*z - 13. Suppose -9*f + s*f = -235. List the prime factors of f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23196335 rounded to three decimal places?\nAnswer: 0.232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 619642 and 470726.\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5628245 and 8040350?\nAnswer: 56282450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31 and -3.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 188, 277, 364?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(180)*5)**2*2 - sqrt(180) - ((sqrt(180) - (sqrt(180)*-5 - sqrt(180))) + -2))*2.\nAnswer: -54012 + 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -395018404 - 0.116.\nAnswer: -395018404.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-554)\/9141*77\/119.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29909 - -837?\nAnswer: -29092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 13*w + 17. Let f be t(12). Suppose -d - 3 = 0, f*d - 3*d = -j + 450. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 1:42 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 3. Let z be w(8). Let l = 27 - z. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -7. Let g = o + 3. Let z = g + -1.00001. What is z rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7809117079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 533.74968 seconds?\nAnswer: 0.1482638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21162 and 9?\nAnswer: 63486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19573*n - 45 + 88 - 4654*n - 43.\nAnswer: 14919*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 0.9. Let v = -1077 - -3265\/3. Let s = -10 + v. Sort d, 1, s in descending order.\nAnswer: s, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 183788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -7*h**2 + 0 + 1\/24*h**4 + 0*h + 5\/3*h**3. Let v be b(5). Solve 2*n + v - 5 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10, 16, 32, 64, 118, 200, 316?\n\"Answer: o**3 - o**2 + 2*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 7*m**2 + 6*m + 2. Suppose 5*c - 3*r + 17 + 4 = 0, -4*r = -c + 6. Let d be o(c). Solve d*i = 5*n + 14, -3*i + 10 = -2*n - 0*i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1018*z + 1016*z - 2035*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1046579885*x**3 + 203494*x**2 + 4*x wrt x.\nAnswer: -6279479310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 11 = 5*k, 2*k - 5*k + 1 = 5*j. Suppose 79 = k*d - 81. Suppose -3*g + d = g. What is the highest common divisor of 30 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/15? (a) -0.8 (b) -1\/4 (c) 2\/3 (d) 2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 + -128535b?\nAnswer: -1285346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -35. Solve -5*q + 4 = -b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -349\/5 + 70. Let i = x - -3\/10. Let m = -69\/5 + 14. Which is the nearest to 1? (a) i (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/(-570))\/(7770\/(-2109))?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2813\/2 + -56231\/40. Let d = -1249\/40 + m. Calculate the common denominator of 93\/16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1225.9*3028.\nAnswer: -3712025.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -14. Let n = 2 + r. Suppose 2\/3 + 14\/3*c + 10\/3*c**3 + 22\/3*c**n = 0. What is c?\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8449097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*g**3 + 12395*g**2 + 1465200*g + 729495 = 0. Calculate g.\nAnswer: -87, -1\/2, 1677\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 413214 divided by -27.\nAnswer: -137738\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -4*a + 11, r + 58*a = 63*a - 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 3. Let y be q(5). Solve 5*w = -3*t + y, -5*w = 5*t - 0*w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a tonne in kilograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2\/(f**(-3\/5)*f))\/(((f\/((f*f**(-7)*f)\/f))\/f)\/((f*f\/f**(-10)*f)\/f*f)) assuming f is positive.\nAnswer: f**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 19*g - 2*g - 92*g**2 - 17*g to f + a*g**2 + j*g and give a.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 936 divided by -104.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 109 + -223. Let r = j + 116. Calculate the lowest common multiple of 3 and -5*r\/10*(5 - 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(68) + sqrt(68)*-1)\/sqrt(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -59*f + 3762. Determine s(64).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 5:27 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -8 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 33*h**3 - 162*h**2 - 15*h - 4. Give z(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - -18. Suppose x*z = 32*z - 13. Let f(y) = -y**2 - y - 2. Let b(o) = 2*o**2 + 2*o + 4. What is z*f(r) + 6*b(r)?\nAnswer: -r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -514, -1960, -4276, -7384, -11206, -15664, -20680?\n\"Answer: 13*z**3 - 513*z**2 + 2*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1092 and 296088?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, 23, 93, 203, 359, 567, 833?\nAnswer: 1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 68 and -0.32 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by 40221?\nAnswer: 31\/40221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4)*0 - (-352)\/1760. Sort 2\/15, -1\/7, l, 0.3 in descending order.\nAnswer: 0.3, l, 2\/15, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 25 = -4*g, 34*y - 33*y = 4*g - 21. Let x = 27 + -27. Factor -2\/3*l**3 + 2\/3*l**4 - 2\/3*l**2 + 0*l + 2\/3*l**g + x.\nAnswer: 2*l**2*(l - 1)*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) 8774 (c) 1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69 - (-79 - -70)) + (0 - -13 - -1).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**2. Let z(h) be the second derivative of 4*h**3\/3 + 17*h**2\/2 + 3*h - 6. Let x(f) = -3*f - 6. Let r(d) = 17*x(d) + 6*z(d). Calculate r(v(m)).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 3*b - 16, -3*b - 9 - 10 = -2*v. Suppose -2*q + 111 = v*t, 2*t - 20 = -2*t. List the prime factors of q.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**2 + 3 - 1 + 12*y**2 as n*y + x + k*y**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 59 + 3 - (2 - 1). Let i = -130 + c. Is -4 - -5 - (i - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 5*sqrt(7)*1 - (sqrt(7) + sqrt(14)\/sqrt(72)))**2.\nAnswer: 5887\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -85*a**2 + 41*a**2 + 43*a**2 + 3 + 7 in the form f*a**2 + q*a + w and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 197 - 150. Calculate the remainder when 181 is divided by o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20550 is divided by 2681.\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4 + ((-4030)\/20)\/(-13). Suppose -20 = -25*a + o*a. Solve -4 - a = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8\/3)\/m)\/(m*((m\/(m*m*m**(4\/17))*m)\/m)\/m)*m\/(m*m*(m*m**15*m)\/m*m*m)*m**(-2\/13) assuming m is positive.\nAnswer: m**(-14311\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o. Let l(r) = -2*r**2 + 3*r - 85167. Calculate l(k(q)).\nAnswer: -18*q**2 - 9*q - 85167","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*7\/126)\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32545 is divided by 49.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 8. Let h = i + -3. What is the smallest value in -0.4, -2\/11, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/5762 + 1433\/14405. Let y = -1.2 - -0.2. What is the nearest to l in -2\/9, 3\/5, y?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 0.3, 807?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-3))\/((-3)\/45). Let p be -3 + (-6)\/t + 1. Let u be 6\/(-26)*16\/24. Which is the nearest to 0.2? (a) 3\/5 (b) u (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 16080669?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*f = 39*f. What is the units digit of 106 - 2 - 4 - f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66218 is divided by 69.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 756?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 167 + -64. List the prime factors of f.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejjj when four letters picked without replacement from jjjjjjjejjjjjjjjjjee?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14741432?\nAnswer: 2, 43, 42853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 1. Let k be 12\/(-28) + 6\/14. Solve -h*z + z = k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403718376?\nAnswer: 2, 3, 16821599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 120 - 81. What are the prime factors of y?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 11, -0.06.\nAnswer: -8, -0.06, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 6. What is the third derivative of -k*f + 3*f**6 + 3*f - 3*f**2 - 4*f**6 wrt f?\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*m)*(-77 - 92 - 162 + 47 + 26).\nAnswer: 774*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-368)\/(-69) + -3 + -2)*(2 - -176737)?\nAnswer: 58913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/46827603 and 107\/93655206.\nAnswer: 93655206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49182857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2683474, 5366948, 8050422, 10733896, 13417370, 16100844?\nAnswer: 18784318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -582, -25, -4 in increasing order.\nAnswer: -582, -25, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1109.2 - -1109. Which is greater: 9.5 or d?\nAnswer: 9.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-4) + 1)\/((-1)\/4). Solve v = 5*f + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 8*l**2 + 7*l + 7. Let k(f) = 4 + 5 - f - 40 - f**2 + 21 + 9 + 0*f**2. Let g = -10 - -7. Determine g*n(m) - 21*k(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1, 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 174 and 3124554?\nAnswer: 543672396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/861 and ((-49)\/(-15))\/((-1239)\/(-105) - 13).\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1361677102 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 40.066. Let i = -0.148 - m. What is i rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1608 and 119673792.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3594 + 3592. Let s(n) = 6*n + 3. Let g(d) = 6*d + 4. Give k*g(o) + 3*s(o).\nAnswer: 6*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/sqrt(3)*2*-5)**2.\nAnswer: 5000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 18. Let n be q(6). Let c(m) = -5*m**2 - 12*m - 2. Let z(o) = 4*o**2 + 11*o + 1. Let a(r) = n*z(r) - 5*c(r). Determine a(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*q + 2*q - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 397 = 2667. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, r: 3, e: 2, a: 5}. What is prob of picking 2 a?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 141 + -140.5. Put h, -2, 0.3 in descending order.\nAnswer: h, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 42 = 5*d - u, 6 = 3*d + 3*u. Let r be (-2 + -3)*(-1 + 0). What is the second derivative of 19*q + q**r + 0*q**5 + d*q**5 wrt q?\nAnswer: 140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 522 in -150, -1\/4, -1, -0.3, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6*p + 234. What is the least common multiple of d(6) and 14?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164307 by 1149.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 233 + 411. Suppose -d = -10*v + 98. What is the highest common factor of v and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 15905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(125) + 0 + -2 + -1*sqrt(125) + 4)*3)**2 + 1)*6 + -2.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 7)*(-21*k + k - 22*k).\nAnswer: 168*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (41318\/(-27734))\/(9\/(-441))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 3*d. Calculate q(7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 9. Let y = o - -6.3. Let l = -7.1 - -7. What is the closest to 1\/2 in y, 0.1, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -187*n**3 - n**2 + 2*n**2 + n**2 + 186*n**3 - 2 - 16*n as m + z*n**3 + o*n + r*n**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*k**3 + 17*k**3 - 29*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*g = 121, -3*x = -2*x - g - 39. Calculate the remainder when x is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -6, -5.8, -0.1, 0.3, 44, -4 in decreasing order.\nAnswer: 44, 7, 0.3, -0.1, -4, -5.8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 137, -5, 0, 18, 10 in descending order.\nAnswer: 137, 18, 10, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 44236790 and -734764.6.\nAnswer: 43502025.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -2\/7037 (b) -1\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 85521875*u - 18 - 78 - 85521877*u.\nAnswer: -2*u - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/186 and 89\/42284?\nAnswer: 126852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 11. Let j be h(8). Let v(d) = -5*d - j + 14 - 6. Calculate v(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, v: 2, e: 4, b: 4}. Give prob of picking 1 v and 1 e.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2759 divide 1057836395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -2669, -332.\nAnswer: -2669, -332, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 432557?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2473*t - 3583. Is a(3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3)*2\/(16\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.46836693 rounded to 2 dps?\nAnswer: -4.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y - 5. Let a be r(6). Let h(w) be the second derivative of w**3\/6 - 8*w**2 + 3*w - 15. Determine h(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**5)\/p**5)\/((((p*p**(-4))\/p)\/p*p)\/p*p**(5\/3)) assuming p is positive.\nAnswer: p**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1985359836?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 424 and 272.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1556453 to the nearest ten thousand.\nAnswer: -1560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(9\/4))**17 assuming f is positive.\nAnswer: f**(-85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 6 = -20. Suppose h = -2*k + 7, m*h - 4 = -2*h + 4*k. Find i, given that -7\/4*i - 1\/4*i**h + 5\/4*i**2 + 3\/4 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2. Suppose -b = -16*p + 12*p - 14, -5*b - 5*p - 5 = 0. Let n(k) = 17*k + 4 - 4*k - b. Give n(s(u)).\nAnswer: -13*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(13) + sqrt(468))) + -3 + sqrt(13) + -1*sqrt(13)*6 + 1*sqrt(26)\/((sqrt(150) + sqrt(6))\/sqrt(3)) + -3 + -2)**2.\nAnswer: 520*sqrt(13)\/3 + 57229\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 8:17 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176) + 1 - sqrt(176)) + 5)*-1 - (2*sqrt(176) + sqrt(176) + 5 + sqrt(176) + 5))**2.\nAnswer: 512*sqrt(11) + 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 13. Suppose 5*y - 2*q + 6*q = -12, v = -5*q - 15. Suppose y = 5*h - 3 - 2. Which is the closest to 1\/3? (a) -2 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 3*m - 93. Let o be ((-12)\/(-18))\/(2\/m). Suppose 0 = 4*k + 4*z - o, -4*k + z + 3 + 2 = 0. What is the second smallest value in 1\/9, k, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 22201441?\nAnswer: -22201434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13.8*0.137\nAnswer: -1.8906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53823, -107651, -161479, -215307, -269135, -322963?\nAnswer: -376791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2713 and 13\/1700.\nAnswer: 4612100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 74791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -267413, -66 in increasing order.\nAnswer: -267413, -66, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(33)\/sqrt(3) + -2)**2.\nAnswer: -4*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*d - 0. Let h = 7 - d. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c. Suppose -12 = 5*y - 37. Let g(n) = 5 + 68*n - 147*n - 184*n - y. Give g(z(j)).\nAnswer: 526*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 10:02 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*n - 27 - 3, -5*n - 33 = 2*d. Let y be 21 + -3 + (-8 - n). Let -y*r + 35*r**3 - 5 - r**2 - 13*r**5 + 2*r**2 - 7*r**5 + 4*r**2 = 0. What is r?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 6*r**2 - 8*r - 8. Let x = -13 + 6. Let h be y(x). What is the units digit of h*15*(-12)\/20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.03, -2\/11, 4.9, 2, 1\/2?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**(-3\/25)*y*y*y)\/(y*y**(-14)))\/((y*y**7)\/y*y**(-3\/25)))**(-7\/5) assuming y is positive.\nAnswer: y**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-44)\/(-1761)) + 1342\/29524?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 19 (b) -696 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 4*w**2 + 5*w - 16. What is o(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ermeereme. Give prob of sequence rmem.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 0*l**5 + 0*l**2 + 17*l + 0*l**6 - 2\/21*l**7 + 7\/6*l**3 + 0*l**4 + 0. What is the second derivative of h(a) wrt a?\nAnswer: -80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 3*c + c + 24, -2*c - s - 10 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -1729?\nAnswer: -1729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 5*n**2 + n + 5. Let v be a(4). Let w = v + 10. Suppose w*l = -g, -3*g + 12 = -l + 4*l. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + j - 117, j + j = -6. Let a = 173 + -192. Let x = f + a. Solve 2*t = -x*q, 2 = -4*q + 3*q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3157 is divided by 316?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 618 = 3*y, -4*k - 2*y = k - 638. Calculate the highest common factor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10055\/12 - -838. Let d(a) be the second derivative of 0*a**3 + 3*a + 0*a**2 + y*a**4 + 0. Let m(f) = 2*f. Calculate d(m(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - n + 32. Let q be 1*(2 + -1)*0. Let k be s(q). Let d(c) = 4*c**2 + 5*c - 4. Let t be d(4). What is the greatest common divisor of k and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2085*v - 8375. Determine r(-4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64592 divided by -32296?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6d256 (base 14) in base 10?\nAnswer: 266636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*r + 57*r - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*g**2 + 1)*(2*g - g - 5*g)*(-2*g - 3*g + 4*g) - 2*g**4 + 0*g**4 + 0*g**4 + (-522*g - 74*g + 185*g)*(3 + g**3 - 3).\nAnswer: -405*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 35. Solve l = 5*h - 15, -3*h = -r - 7*h + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*b - 9 - 51, 0 = 4*b - 3*p - 48. Suppose -157*h + 34 = m - 161*h, 0 = -6*m - 5*h + 1. Solve 5*f + d + 25 = m*d, -3*d = -b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 3, h: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 284 + 4009. Suppose -5*v - 4*m = -4299, -v + o = 4*v - 2*m. Is v a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9114 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: Suppose 0 = -11*d + 170 - 665. Which is smaller: -43 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2345, 4689, 7033, 9377, 11721, 14065?\n\"Answer: 2344*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 197469 and 20565.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - a = 11, 4*a = 2*i - 4*i - 2. Let g(n) = -n**3 + 4*n**2 + n + 1. Let f be g(4). Let y = -276 - -284. Sort i, f, y, -5.\nAnswer: -5, i, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 579 = 4*q, -i - 22*q + 574 = -23*q. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 + -0.01. Let k = 933\/4 + -232. Sort k, -5, o in descending order.\nAnswer: k, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 352 and 47652?\nAnswer: 381216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) -105 (c) -1\/2 (d) 1210 (e) -0.1 (f) 3\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 2*y**2 - 5*y**2)*((-1 - 2*y + 1)*(-2*y + 5*y - 2*y) - y**2 + 2*y**2 - 4*y + 6*y).\nAnswer: 2*y**4 - 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2. Let i(o) = 9*o**2 + o + 51. Let x(n) = -10*c(n) + 2*i(n). Differentiate x(q) with respect to q.\nAnswer: 16*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299 less than 1451862?\nAnswer: 1451563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((72\/(-9))\/8)\/(2\/(-12)). What is the highest common divisor of i and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 52\/3 (b) 2 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2653*k**2 + 0*k + 2641*k**2 + 8*k.\nAnswer: -4*k*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*w. Suppose w*o = 5*o + 4*d - 22, 2*d - 8 = -2*o. Factor 2*x + 2*x + o*x**2 - 2*x**4 + 0*x.\nAnswer: -2*x*(x - 2)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 + 23*b - 9 - 5)*(3*b**2 - 3*b**2 - 2*b**2 + (-5 - 1 + 5)*(-3*b**2 + 2*b**2 + 2*b**2)).\nAnswer: -69*b**3 - 102*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3502)\/2618 - (-430)\/301.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15660638.3 to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1401 and 2.\nAnswer: -1399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i - 48. Let h be o(-14). Let d be (-61)\/(-4) - h\/(-24). Solve 0 = -2*a - d + 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/6)\/(4 + 78\/(-18)). Let q be 5*(-2 + a\/(-5)). What is the closest to q in -3, 5, -3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3754, -3986, -4218?\n\"Answer: -232*b - 3522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v + 0*v - 3*v)*(-3 - 1 + 5) + (0*v + 3*v - 6*v)*(3 + 1 + 6).\nAnswer: -28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14840056, 29680102, 44520154, 59360218, 74200300, 89040406, 103880542?\nAnswer: 118720714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87348009*f**2 - 1637*f + 3138?\nAnswer: -174696018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/17*1 - 1379\/(-455)) + (-8)\/(-40)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (104 - -2)\/((-13)\/((-12753)\/18))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/171, 3\/10, -24.\nAnswer: -24, -2\/171, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**2 + 16*b - 57. Determine y(12).\nAnswer: 711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-15 - (-3 - -3)) + 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19\/8, -0.2, 0.4, 11, -8\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 2*q**2 + 12*q + 22. Suppose 16 = 4*z + 3*m, 5722*z - 5727*z + 6 = 2*m. Calculate b(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + s + 6 = x, -5*s + 22 = -3*x. Let f = -1 - x. Let v = f - 3. Solve -4*k + 4 = -v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*(-6*(sqrt(204) + sqrt(204)*1) - (sqrt(204) + sqrt(204) + -2*sqrt(204)*-4))\/(sqrt(1452)*-2 - 6*sqrt(192)).\nAnswer: -132*sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 283640707?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7116?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108 - -108.0721. Let d = g + -0.0719666. What is d rounded to six dps?\nAnswer: 0.000133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, a: 2, y: 1, e: 2, r: 3, z: 10}. What is prob of picking 1 n, 1 r, and 1 y?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - 7. Let p be ((-5)\/3)\/(4\/g). Suppose -p*w = 3*w. Solve -1 = 3*m - 5*o, w*o - 7 = m - 5*o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -20)*4\/8. Let n be (2 - 3)*(p + -4 + -7). Let l(j) be the second derivative of -5*j**3\/6 - j**2\/2 + j. Calculate l(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 84 - -209886?\nAnswer: 209970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4*(-4)\/((-48)\/(-12))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*s + 5691 = 0, -3*b + 5*s = -1614 - 1793. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119 and 10591.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/3)\/(d\/(d\/(d**(-2)\/d*d)))*d**(1\/3)\/d**(-1\/4) assuming d is positive.\nAnswer: d**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41147 + 106120. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -5, 2\/5 in descending order.\nAnswer: 2\/5, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**4\/2 - 16719*w**3\/2 + 200727*w**2\/2 - 752845*w\/2 + 418275 = 0.\nAnswer: -16731, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12882100149 - 5.\nAnswer: -12882100154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10725*g + 1351344. Determine q(-126).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 464 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539)*-1 + -5 + -6*(-2 + sqrt(539)) - ((sqrt(539) + 2)*3 - (-2*sqrt(539) + sqrt(539) + -4))) + -1)**2.\nAnswer: 616*sqrt(11) + 65235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 2. Suppose 3*q = -0*q - a. Let o be q + (2 - 4) + 2. Sort -4, o, 2.\nAnswer: -4, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by -2?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**2 + 825869*u + 2477616 = 0.\nAnswer: -3, 825872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 437*f**2 - 47*f + 1337. Is t(28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -756 divided by -189.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/50*-1*1. Suppose 4*f = f + 4*l + 9, -2*f + 7 = -3*l. Let s be 88\/(-55) + (-2)\/f. Which is the closest to r? (a) s (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 726*c**3 + 15*c**2 - 6*c - 4. Let y(b) = -1089*b**3 - 21*b**2 + 9*b + 6. Give -7*u(v) - 5*y(v).\nAnswer: 363*v**3 - 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*p + 703008, -3*y + 2099663 = 5*p - 9327. Round y to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.2 - 16.7. Let s = x + 10.5. Which is the biggest value? (a) -1\/2 (b) s (c) -2 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*20\/(480\/54).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**5\/20 + 3*d**4\/4 + d**3\/6 + 5*d**2\/2 - 5*d - 4. Suppose 0 = -k + 2*p + 4 - 3, -4*k - 5*p - 61 = 0. Calculate g(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73*-6*(-3)\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 w when three letters picked without replacement from {w: 5, s: 7, h: 2}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 - 11 + 8)*((-1 - 1 + 4)*(2 + 3 - 3) - 2 - 3 + 6 + 3 - 3 + 2)*(-125*q**2 + 42*q**3 + 125*q**2) to the form m + u*q + l*q**2 + w*q**3 and give w.\nAnswer: -4998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**2 - 250320*z - 3505264 = 0. Calculate z.\nAnswer: -14, 62594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1302 and 18.\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 82*w - 2724. Determine q(37).\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) -5 (b) 1\/5 (c) -1\/4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, j: 4}. Give prob of sequence ccj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1455, 811, 187, -417, -1001?\n\"Answer: 10*r**2 - 674*r + 2119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -10. Let l = -0.4 + -1.1. Let g = -1 - l. Which is the third biggest value? (a) -2 (b) d (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/3660 and -47\/1701778?\nAnswer: 51053340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, w: 1, p: 2}. Give prob of sequence wr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48248.\nAnswer: 2, 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3 - 12 - 10*q + 9. Is c(-2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97 + 412. Does 21 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(5\/(15\/6)). Suppose -j*r + 0*r = -6. Suppose -4 = -3*a - 5*d + r, -a = -d - 13. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 31528*m**2. Let c(u) = -155*u. Give h(c(v)).\nAnswer: 757460200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 times 3.53\nAnswer: 5.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 43*b**2 - 2*b - 1. Let s be i(-1). What is the common denominator of 515\/(-110) - (-4)\/22 and ((-35)\/(-3))\/(s\/6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((6*(sqrt(128)\/sqrt(8) - sqrt(16)) + sqrt(16))\/(sqrt(72)\/(sqrt(9) - -4*sqrt(9))))**2 + 4.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 77404*o**2 + 77408*o.\nAnswer: -4*o*(o - 1)*(o + 19352)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -248 by -8.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + 60. Solve -5*d = 5*i + 4 + 6, -3*d + 2*i = -s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7703952, -7703950, -7703948, -7703946, -7703944?\n\"Answer: 2*z - 7703954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u - 2. Let v = -6 - -4. Suppose -71 + 79 = 4*g - 4*o, 4*g - 15 = -3*o. Let p(x) = 5*x - 2. Calculate g*p(f) + v*c(f).\nAnswer: 7*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**7\/1260 - 5*q**4\/12 - 5*q**2. Let v(b) be the second derivative of u(b). Let a(s) = -s**2. Calculate v(a(r)).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 9*r + 19. Let x be j(-10). Let m(d) = 8 - 10 - 2 - x*d. Let g = 6 - -1. Let q(i) = 5*i + 2. Give g*q(s) + 4*m(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 619, 649, 679, 709, 739, 769?\n\"Answer: 30*a + 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = 245 - 191. Let o(n) = n. Calculate o(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 9:04 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 136 = c. Suppose -7*a + 287 + 28 = 0. Calculate the remainder when c is divided by a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2153 (base 7) to base 5\nAnswer: -11043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -0.0274.\nAnswer: -0.3274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*x - 1 = 0. Let l be (x - (-2)\/1) + -3. Let w be 3 + (-5 - l) + 2. Solve 0 = -w*z - z - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 19*r**8\/56 - r**6\/60 + 265*r**4\/8 + 1149*r**2. What is the second derivative of t(p) wrt p?\nAnswer: 2280*p**3 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -706 <= -706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 322442 + 0?\nAnswer: 322442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 132*r + 640. What is the lowest common multiple of m(-4) and 480?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u + 40*u = 120. Solve 5*f - 4*c - 26 = 8*f, -u*c = 5*f + 20 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3142?\nAnswer: 2, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/60)\/(8\/(-30)). Which is the biggest value? (a) 5 (b) h (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123848617280*n**3 - 2724661710960*n**2 + 173122275*n - 2750 = 0. Calculate n.\nAnswer: -22, 5\/157384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 15\/4*p**4 + 3\/20*p**5 + 0*p**3 - 8*p - 1\/2*p**2 + 11\/42*p**7 + 0*p**6 + 3. Find the third derivative of a(o) wrt o.\nAnswer: 660*o**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 894, 2, -5583 in decreasing order.\nAnswer: 894, 2, -5583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*q**5 - q**5 - 4*q**5 + (0*q - 8*q + 2*q + (-q - 2*q + q)*(3 + 0 - 2))*(-3*q**4 - 2*q**4 + 4*q**4).\nAnswer: 9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3935*j**3 - 61*j**3 - 901*j**3.\nAnswer: -4897*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 5*w = 20, 0 = -2*g + 5*w - 10 - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93066723 to the nearest integer?\nAnswer: 9647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 14984.56 to the nearest ten.\nAnswer: 14980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.2 - -0.5?\nAnswer: -9.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 10*p - 9. Let z be q(-11). Find the first derivative of 7 + 1 + 6*c**z - 2*c**2 + 2*c**2 wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -13*i - 17. Let a(z) = -15*z - 19. Suppose -b + 10 = -4*v, 5*v + 9 = -11. Let r(y) = b*h(y) + 5*a(y). Determine r(-10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 12:31 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -35.13 - 0.02699905\nAnswer: -35.15699905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1251 - 2515.\nAnswer: -1264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -710.3*1015.36\nAnswer: -721210.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -455, -451, -447, -443?\n\"Answer: 4*r - 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 - 77. Solve n*g + 40 = 5*m, -4*g - m - 11 = 2*m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8347 = -116*n + 210883. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 384 - 603. Let v = 1164 + q. Suppose -4*l = -v + 357. Is l a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242524 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 22. What is the remainder when 7 is divided by (-129)\/w + 0 + 11\/(-66)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01+-1469039\nAnswer: -1469039.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**4\/50 - 44*d**3\/75 - 121*d**2\/25 + 338. Solve n(k) = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12*(1 + (-3)\/2). Suppose 5*o - h = -1, 0*o - 28 = 8*o + 5*h. Let w be (-46)\/12 - o\/r. Which is the second smallest value? (a) 15 (b) w (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*o**4 - 3*o**2 + 0*o**2 - 477*o + 476*o - 4*o**4 + 2*o**2 + 9*o**3 to m*o + f*o**4 + v + r*o**2 + k*o**3 and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**3\/5 + 1341*a**2\/5 - 199809*a\/5 + 9923847\/5 = 0.\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from yanqu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3*(sqrt(2736) + 1) + 0 + 3*sqrt(2736))*6*2)**2.\nAnswer: 58752*sqrt(19) + 14184580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3058 or -1?\nAnswer: -3058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2)**35\/(x**(-6\/13)\/(x\/x**(-12))) assuming x is positive.\nAnswer: x**(1085\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 267. Let d(b) = b - 134. Let j(g) = 4*d(g) + 2*x(g). Let s(o) = -9*o + 4. Let v = -24 - -18. Determine v*s(h) - 14*j(h).\nAnswer: -2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(350)\/sqrt(7))\/(sqrt(160) + 4*(-1*sqrt(160) - sqrt(160))).\nAnswer: 9*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 32d2 (base 15) to base 6\nAnswer: 121512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 27*u**2 - 30*u - 21. Determine l(-28).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 43. Solve 4*p + 4*w + 8 = 0, 0 = 3*p - t*p + 5*w - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 158*w - 3 + 159*w + 4.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o + 11*o = 16128. Suppose -5*c + o = -2*p, -2*c + 5*p + 162 = -0*c. What is the remainder when c is divided by 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11641*d = -11671*d + 510 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1001)\/78 - -13)\/((-5)\/(-3)). Let a(z) be the third derivative of -t*z**5 + 5*z**2 + 1\/6*z**4 + 1\/3*z**3 + 1\/120*z**6 + 0 + 0*z. What is a(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -3 (c) 2\/27 (d) 2\/5 (e) 5 (f) -1175 (g) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*o + 376*o + 44 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 12) + -10*49\/(-70)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -r, 0 = -h - 3*r + 4*r + 31. Suppose -7435 = -h*l - 363. Calculate the highest common divisor of 52 and l.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34375150 and 6525?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/(-15) + (-3)\/(18\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3*g + 4. Let t be ((-34)\/(-1))\/(10\/55). Let z = 198 - t. What is the lowest common multiple of z and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -192, -204, -226, -264, -324, -412?\n\"Answer: -p**3 + p**2 - 8*p - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 54346?\nAnswer: -5\/54346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/7091 and 75\/2026.\nAnswer: 14182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/8, 3, 2\/165, 1\/3, -170\/23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fflsiqq. Give prob of sequence is.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (57\/12)\/(11\/(-572)). Let y = 310 + z. Calculate the remainder when 186 is divided by y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 10. Let z(d) = d + 10. Let f be z(x). Let y = -6.8 - -5.8. Put f, -3, y in ascending order.\nAnswer: -3, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/12 - (1 + 0). Let m = 32.6 + -32.9. Which is the nearest to m? (a) 5 (b) -0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 367, 741, 1125, 1525, 1947, 2397, 2881, 3405?\nAnswer: 3975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 11:54 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/14)\/(5\/(-70)*2). Let x be 1\/(-4) + 63\/(-4). Let l = x + 16. Solve -4*y - 12 = 0, 3*h - s*y + 0*y - 18 = l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-161)\/(-7) - 21) + 22 and 3981.\nAnswer: 31848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - 5*sqrt(252) - (sqrt(70)\/sqrt(250))**2 - (2 + (sqrt(14)\/sqrt(2) + 3 - (-1*sqrt(175))**2)).\nAnswer: -30*sqrt(7) + 4243\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3768.9 * -3182.\nAnswer: -11992639.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k**3 + k**2 - 2*k - 2. What is the tens digit of x(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, r: 3, a: 3, y: 4}. Give prob of sequence jyry.\nAnswer: 9\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -3*s - 71, 63*k - 35*k - 5*s = 30*k + 117 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 1727 - 1725. Solve -2*q - 6 = 0, -k + 5*q = -v*k - 17 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 7:25 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 3) to base 12.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 578 + 602 = 0 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + i + 74. What is b(0)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*w - 361. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 94.20466l?\nAnswer: 94204.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -11*z - 13. Let d be (-24)\/(-48) - 7\/z. Do d and -95 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 12) in base 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*v - 36*v - 2*v**2 - 3 + 2*v**4 + 3 as p*v**2 + f*v**3 + z + t*v**4 + y*v and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*z + 3*z - 44 = 0, d - z + 28 = 0. Is d at least -437\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -44. Let d = f + 35. Let q = 3 - 2. What is the biggest value in q, d, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekc when three letters picked without replacement from cgkkzeckezzcegcc?\nAnswer: 3\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o = -48*o + 1216. Suppose 7*x + 4*q - 27 = 6*x, 3*q - o = -2*x. What is the greatest common divisor of x and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -8. Let a = -8 - -14. Let t be p\/a*(-6)\/(-4). Let n(x) = 3*x**2 - 1. Determine n(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/216*4*368\/46?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 30, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 76. Let h(a) be the first derivative of a**3\/3 + 36. Calculate h(s(b)).\nAnswer: b**2 - 152*b + 5776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-296996)\/(-63) - (2 - 32\/18). Let f = 3392 - 6133. Let r = h + f. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 250*i*u**2 - i*u - 6*u**3 - 3*u**2 + 1540*u - 1 wrt u.\nAnswer: 500*i - 36*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -101212 (base 3) to base 6\nAnswer: -1205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 7*j - 6. Let s(i) = 3*i**2 - 2*i + 2. Suppose 4*c = 1 + 3. What is the remainder when x(5) is divided by s(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(80) + -1 - (1*sqrt(125) - sqrt(5))) + 2 + (sqrt(50)*1 + sqrt(50))\/sqrt(10)) + 2)**2 + -3.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.13 + -1.2. Let c = -2.6182 - -2.683. Let u = a + c. What is u rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -20*j - 1. Suppose 2*o + b - 6 = 0, -8*o - 7 = -7*o - 2*b. Determine l(o).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5968.6, -0.3, 0.5, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**4 - 10*c**2 + 50. Let o(s) = 3*s**4 + 20*s**2 - 101. Let f be (-9 - (-342)\/72) + (-3)\/4. Let x(y) = f*p(y) - 2*o(y). Differentiate x(i) wrt i.\nAnswer: -4*i**3 + 20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-2) + -3 - -1. Let z be 5 + (f - (-6 - -3)). Let c be 4\/z - 2\/3. Solve 0*n - n = c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2068 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/6)\/((-4)\/(-90)*3). Suppose -42*j + 64 = -x*j. Solve 0 = 5*d + i - 25, -j*i - 4 = -d + 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i - 7\/20*i**4 + 147\/10*i**3 + 37*i**2 + 0 + 1\/300*i**5. Factor t(w).\nAnswer: (w - 21)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7911742 months in millennia?\nAnswer: 0.00023259785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 931.3044 hours?\nAnswer: 55878.264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 25*w - 195. Determine t(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -34*s + 24. Let k be u(1). Sort k, 4, -1 in decreasing order.\nAnswer: 4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 1:21 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r**2 - 5. Let s(d) = -7*d**2 + 6. Suppose 0 = 9*t - t - 16. Suppose -b + 0*b - 4 = 0, -j - 4*b = -t. Let x = j - 12. Give x*a(m) + 5*s(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2320496?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 48*g + 0 + 1\/60*g**6 + 1\/6*g**3 - 1\/24*g**4 - 1\/20*g**5 + 0*g**2. Suppose z(b) = 0. Calculate b.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 2, 0, -1 in ascending order.\nAnswer: -4, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07900124 - 0.079. What is h rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-26)*(-18265)\/281.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -616*g. Let j(t) = 5*t**2. Give j(p(q)).\nAnswer: 1897280*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -27.7, -1535, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence juj when three letters picked without replacement from {j: 3, u: 4, i: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2811, 5860, 8909?\nAnswer: 11958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (4 - (16 + -3)) + 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3\/(157\/(-80) + 2) and 8?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmydddddmmyud?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 34145 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 38*r**2 - 44*r + 40. Calculate u(1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -23 - 0) + (-1847 - -1857 - (3 - 2))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 42057374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 62763461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g + 10105 = 10225 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 9) to base 3\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 108a?\nAnswer: 108a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 3*u**3 + 6*u**3 + 6*u**3 - u**2 - 16*u**3 - 5*u to the form h*u**3 + m + x*u**2 + i*u and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*p - 13*p - 30870. Let h = -2186 + p. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.57783 and 2641.\nAnswer: 2638.42217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -30365063.6 take away -3.4?\nAnswer: -30365060.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(1\/4)\/i)*i)\/i**(-2))**(-7\/3) assuming i is positive.\nAnswer: i**(-133\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - 22) + 1 + -4 + 7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2488?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**4\/4 + q**3 - 2*q**2 - 723*q. Determine i(4).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 178 (base 14) to base 11\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*-5*413\/((-693840)\/(-480))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 - 5*n**2 - 8*n - 48. Let u be a(-4). Solve 35*b + 9 = u*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4329 (base 13) to base 9.\nAnswer: -13716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-4\/9)*k*k**15 assuming k is positive.\nAnswer: k**(157\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 580 - 574. Which is the fourth biggest value? (a) -8 (b) o (c) -0.3 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 5*c**2 - 8*c + 9. Suppose 16 = -g + 4*g + 2*w, 3*g - 5*w = 23. What is y(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q. Let d be (15\/10)\/(6\/8). Suppose -d*i + 1 + 3 = 0. Let r(x) = i*x**2 + 0*x**2 + 3*x**2 - x**2. Determine c(r(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2085347?\nAnswer: 11, 101, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8438 + -80.9288. Let o = 80 + x. Let w = o + 2.085. Is 2\/25 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 143900\/19 - 7578. Which is smaller: -4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-27))\/((-2)\/72). Suppose -2*u = -3*u + n. What is the smallest common multiple of 20 and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*(-504)\/(-392)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ey when two letters picked without replacement from {u: 4, q: 1, n: 3, e: 1, y: 1, m: 2}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 11:15 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -5. Let k = 0.76 - -0.04. Let q = 1 - k. Sort -3, q, x in decreasing order.\nAnswer: x, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12519780 and 786499.\nAnswer: 613469220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 30. Let w = 0 + 1. Which is the nearest to 0.1? (a) m (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2267 (b) 3 (c) -2 (d) -0.05 (e) 3233\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 54 + 12 = 0. Let v = 12 - 8. Solve v*z + a - 15 = -2*a, 5 = g*z + a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 39401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1735.2508 + 1735. Round h to 2 decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(48\/(-321)) - 9\/12.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2148 + 4781. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t - 11. Calculate the remainder when x(4) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -53209 and -52871 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-96)\/(-42) - (-2)\/(-7). Let a(l) = 0 + 0 - r*l**2. Let i(m) = -37*m. Let z(b) = 19*b. Let s(p) = 3*i(p) + 5*z(p). Calculate s(a(w)).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -3*f**7\/70 + f**6\/20 + f**5\/20 + f**2 - 4*f. Let x(l) be the first derivative of j(l). Find b, given that x(b) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -23 and -34.12948.\nAnswer: -57.12948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n = -4326 - 337 + 613. Calculate the greatest common divisor of n and 3600.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkkkkkkkkkkdksskdk.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 3:20 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 - 354.7\nAnswer: -354.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 131*b**2 - 947*b + 8. Determine u(138).\nAnswer: 2630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 35*g**2 - 75*g - 48. Let t be x(-37). Let s(y) = 5*y**3 + 4*y**2 - 2*y - 6. Let a(j) = 9*j**3 + 7*j**2 - 4*j - 11. Calculate t*s(i) + 6*a(i).\nAnswer: -i**3 - 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102*k**3*m*p - 56*k**3*m - 4*k**3*p - 166*k**2*m - k**2*p + 3*k**2 - 26 wrt k.\nAnswer: 612*m*p - 336*m - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7266414313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 10*o - 33. Let m be f(-6). Sort m, 5, -3, -5 in increasing order.\nAnswer: m, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101022 (base 4) to base 2.\nAnswer: -1010001001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -3. Let i = -9218 + 9222. Put d, i, 2\/15 in descending order.\nAnswer: i, d, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -4*a**3\/3 - 19*a**2\/2 + 7*a + 19. Let p be d(-5). Is 22 a factor of 134\/p - (5 + -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 13. Suppose -k + 9 = 5*a, -4*a - 1 = 2*k - n. Does 17 divide (-132)\/(-2) - (1 + k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 6. Let q = -9.892 - d. Let n = -0.10867 + q. Round n to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-188)\/12972)\/(13\/(-39))?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1114887336 from -37.14.\nAnswer: -1114887373.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 490 = -18*y. Suppose -45 = -2*k - 5*z, -4*z - y = -2*k + z. Solve 0 = -3*n - 3*j + j - k, 0 = 4*n + 2*j + 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 18*x**3 - 5*x**2 - 5*x - 11. Let l(t) = -19*t**3 + 6*t**2 + 6*t + 12. Let z(f) = 6*c(f) + 5*l(f). Differentiate z(u) with respect to u.\nAnswer: 39*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*a = 25 + 1317 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -11 + (3 + -3 - -2). Let j = a - -6. Let f be (20\/(-25))\/(6\/15). Is f at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150014497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/18*(-2)\/(-1). Let i be (-6)\/(-4)*(-8)\/(-6) + z. Suppose -5*m - 399 = -i*x, 2*x - 197 = 2*m + 69. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/15*15\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -1264?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**2 - 10*d - 31. What is h(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**3 - 2*v**2 + 64*v - 709. What is the units digit of y(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4778.\nAnswer: 2, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*q - 35 = 29*q. Solve 6*m - 3 = q*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*j - 21248, 0*m - 42468 = 4*j - 3*m. Is 28 a factor of (-1)\/(-3) + -1 + j\/(-54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/7))**(5\/6)*(k*((k**(1\/4)\/k)\/k)\/k)\/(k*k**(-5)))\/((k**(-6)\/k**6)\/(k*k*k\/(k*((k*k\/(k\/k**(-1\/4)))\/k)\/k*k*k)*k)**(-5\/4)) assuming k is positive.\nAnswer: k**(3763\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*h - 873. What is the common denominator of -63\/16 and (-1)\/(-1) + h\/30?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(5)*-5 + sqrt(36) + sqrt(1764) + sqrt(1764)*-1)\/((sqrt(1728) - (sqrt(1728) + sqrt(1728)*1 + sqrt(1728) - sqrt(1728)))\/sqrt(4)*-2).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9549 plus -2?\nAnswer: -9551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*a, 0 = 2*p + 2*a + 3*a + 741086. Let b = p - -540553. Suppose -3*i = 2*i + b. What is i rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*d + 58 = 0, 0 = 5*k - 4*k - 3*d + 24. Let n = -4 - k. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(28)\/sqrt(4))**2 - sqrt(7) - (-2*sqrt(7) + 3) - sqrt(35)\/((sqrt(5) - sqrt(45)*3) + sqrt(5)).\nAnswer: 8*sqrt(7)\/7 + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**2 - 14*m**2 + 4*m**2 + 7377*m**3.\nAnswer: 7377*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 327572681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 - -1. What is the biggest value in -1, -0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, -207.\nAnswer: -207, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 938 - 937.9859. What is k rounded to four decimal places?\nAnswer: 0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.9 + -14.4\nAnswer: -29.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001000101011000011011 (base 2) to base 4.\nAnswer: -101011120123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -243168.9 to the nearest one thousand.\nAnswer: -243000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 42*g + 336. Let t be n(-8). What is the second smallest value in 5, 48, 1\/2, t, -2\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 269232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 17.9. Let t = 77 - k. Let y = t + -63.9. Round y to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 + h**2)*(-4 + 3 - 1) - h**2 - 2*h + 2*h + 15*h**2 + 57*h**2 - 22*h**2 + (0 + 0 + h**2)*(27 - 12 - 3) to k + b*h**2 + l*h and give b.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71980, -146892, -227684, -317296, -418668, -534740, -668452, -822744?\nAnswer: -1000556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(((l\/l**(-1\/2)*l)\/l)\/l))\/l**2)\/(l**(1\/6)\/l*l*l*l**(-2)))\/(l**2\/l**0)**(8\/9) assuming l is positive.\nAnswer: l**(-22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3703982452?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from fgfffkafc?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.19 + 0.71. Let w = v - 0.8. Which is the third biggest value? (a) 0.3 (b) 0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -28*f**4\/5 + 136*f**3 - 836*f**2\/5 + 184*f\/5 = 0.\nAnswer: 0, 2\/7, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 13*z + 19. Let d(t) = 8*t + 9. Let l(p) = -7*d(p) + 4*s(p). Calculate l(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/5 of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.9 - 0.9. Let a = -5.9 + o. What is a rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, o: 4, e: 8}. Give prob of sequence ue.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + 4*k**2 - 4*k**2)*(-25*k**3 + 2 - 2) - k**4 - 64*k**5 + 14*k**4 + 66*k**5.\nAnswer: -48*k**5 + 13*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 - p + 1. Let w be ((-110)\/1925 - (-62)\/(-140))*8. Determine i(w).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24705\/610*(-4)\/9?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3393)\/(-145))\/(1 - (-78)\/(-15) - -4). Sort u, 2, -2 in ascending order.\nAnswer: u, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 27181818.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 875 by -2.\nAnswer: -875\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3128 and 8773?\nAnswer: 27441944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(396) + (-2*sqrt(396) + sqrt(396))*-1 - (sqrt(396) - (sqrt(396) - (-4 + 0 + sqrt(396)))))*4)**2.\nAnswer: 3072*sqrt(11) + 26368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(34) + sqrt(34) + sqrt(1666))\/sqrt(2) - (2 + sqrt(17)*-1)).\nAnswer: -3 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 8 = 0, 0 = -4*z + 8*w - 6*w + 20. What is the derivative of -14126 + 13821 + 0*j + j - 316*j**z - j wrt j?\nAnswer: -948*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7505 + 7500. Which is the nearest to 1? (a) 2\/3 (b) 4\/5 (c) 2\/23 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 248558 and 418.\nAnswer: 2734138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244688 is divided by 40780.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3320 - -14604. List the prime factors of p.\nAnswer: 2, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*(x*x*x**(-2\/3))\/x*x)\/(x\/(((x\/((x**(-1\/11)\/x)\/x))\/x*x)\/x*x*x)*x))**(20\/9) assuming x is positive.\nAnswer: x**(3580\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**7\/70 + j**6\/40 + j**5\/20 - j**4\/8 - 27*j**2 + 3. What is r in s(r) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17660.\nAnswer: 2, 5, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -934*c**2 - 1 - 29*c**2 - 1 + 2.\nAnswer: -963*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79647, 79946, 80437, 81114, 81971, 83002?\nAnswer: 84201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2 + 47173*b\/5 - 3774 = 0.\nAnswer: -9435, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 498581080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 5*f**2. Let c(q) = 0*q**2 + 2*q**2 + 10*q - 9*q. Let k be c(-2). Let g(t) = t**3 + 6*t**2. Let x be (-1)\/4 + 42\/8. Give k*r(s) + x*g(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15506617*a*j**3*y**3 + 2*a*j*y**2 + a*y**3 + 1260*a*y + 7*j**4*y**3 - 1024*j**2*y + j*y - y**3 wrt j.\nAnswer: 93039702*a*y**3 + 168*j*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r - 3*r - r + 2*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -75553 - 0?\nAnswer: -75553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -9. Let n = 3.9 + h. Let s = n - -2.3. Which is the closest to s? (a) 2\/15 (b) 0.3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16120)\/34 - (-16)\/136. Let z = -468 - j. Calculate the remainder when 104 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 5, 1\/6, 2, -10, 0.00302?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10291, 3, -1.\nAnswer: -10291, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*m - 13 = 0, 0 = -3*t - 2*m + 12 + 10. Let g = 377 + -370. Suppose -4*o + g*b = t*b - 229, -2*o + 3*b = -113. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 16*w**2 - 182*w - 2465. Let d be l(-15). Suppose 0 = -5*t - 3*z + z + 44, -26 = -3*t - z. Solve 0 = t*i - d + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 14 = 1. Let m be ((-7)\/(-3) - v)*30. Round m to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23864.241 seconds?\nAnswer: 397.73735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1196 - -1195.6. Suppose -w + 2 = -g - 4*w, 2*w = 5*g + 61. Put g, -1, l in increasing order.\nAnswer: g, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - u - 239 = -2*u, 3*v = -5*u + 139. Let z = 52 - v. Find the first derivative of -z - 29*l**3 - 18 - 14*l**3 - 8 wrt l.\nAnswer: -129*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*y + 10 = 0, -2*r + 2 = 5*y + 15. Let n(v) = 124*v**3 + 2*v**2 - 2*v. Let j(u) = -25*u**3 + u**2 - u. Let z(h) = 5*j(h) + n(h). Determine z(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 58?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81)\/2*((-152)\/171)\/((-46)\/(-69)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 65 = n. Suppose 980 = n*s - 1399. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/10)\/d)\/d**(-2\/11))\/(d*d**(-2\/7)*d)**(-24\/13) assuming d is positive.\nAnswer: d**(34501\/10010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, h: 2, k: 4, r: 2}. Give prob of sequence aar.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2*t = -4, f = 3*t - 6*t - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 45 - 40. Let r = 205 + k. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 0*b + 39 = 3*b, 8*w - b = -51 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1056 is divided by 227.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1225 and 4.\nAnswer: -4900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 30 + (-19 - 12) + -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2313003*c**2 - 28798*c - 14399. Let m(k) = -1285*k**2 + 16*k + 8. Let r(l) = 14399*m(l) + 8*t(l). Let v(i) = -i**2. What is r(v(h))?\nAnswer: 1309*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -26663136.239?\nAnswer: -26663124.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1, -4, -32?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**2 + n + 1. Suppose -3*s + 5*y - 16 = 0, y + 4 = s + 2*s. Let u(k) = 4*k**2 + 2*k + 1. Let j = -15 + 13. Calculate j*u(o) + s*m(o).\nAnswer: o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 200002231?\nAnswer: 200002224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1801140 and 40.\nAnswer: 3602280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2272664 greater than 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y. Let w(h) = h**3 + 4*h**2 + 3. Let t be w(-4). Let s(p) = -p**2. Let d(n) = -2*n**2. Let z(r) = t*s(r) - d(r). Calculate i(z(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**2*s**3 - 3*h**2*s**2 - h**2*s - 10*h*s**6 + 14*h*s wrt s?\nAnswer: -6*h**2 - 1200*h*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71695*s**2 - 932045*s - 130 = 0.\nAnswer: -13, -2\/14339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 1 + 1)*(2*y + y**2 - 2*y)*(54 + 49 - 102).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/10)\/(-2*3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 15*f = 0. Solve l + 5 = 3*h, f*h + 7 = l + h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(11\/2)\/q**(-20) assuming q is positive.\nAnswer: q**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 1.43.\nAnswer: 0.143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/68)\/((-40922)\/280608).\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1529295 (b) 3 (c) -0.5 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 426146186 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 + 7*a**3 - 212*a**2 + 924*a - 720.\nAnswer: (a - 6)**2*(a - 1)*(a + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**3 + 48*j**2 + 3. Calculate k(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2 + r. Let p(h) = 13*h**2 + 4*h + 1. Calculate 2*p(j) - 9*v(j).\nAnswer: -j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6527000 rounded to the nearest one hundred thousand?\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -21246, -2, 0, -4, -5.\nAnswer: -21246, -5, -4, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 + (1 + 1 - -13)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 115 - 119. Do -0.13 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 318 - 278. What is the least common multiple of 15 and s?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(((c\/(c\/(c\/((c\/(c\/(c\/c**(-4\/3)*c*c*c)))\/c*c)*c)))\/c*c)\/c)*c\/c**(-5\/4)*c**3\/(c**(-2\/19)\/c))**(-17) assuming c is positive.\nAnswer: c**(-45305\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 151*f**2 - 40740*f.\nAnswer: f*(f - 291)*(f + 140)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 0.2. Let b = t + -0.2. Let a = 2 + b. Which is smaller: a or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11619 and 207?\nAnswer: 267237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**2\/2 + 9. Let k(n) = -12*n**2. What is k(w(q))?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*i + 0 + 1 = 0, -3*i = 5*o - 50. Suppose -5*k + 50 = -2*j, -6*j = -o*j + k - 19. What is j rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (-337)\/(-2)*-4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*i*j*l**2*u - 2*i*j*l*u + i*l**2*u - 6*i + 2*j*l**2 + j*l*u - 8*j*u wrt l?\nAnswer: -22*i*j*u + 2*i*u + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -1631)\/((-1)\/2). Suppose 0 = 5*q + 382 - d. Calculate the greatest common factor of q and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46488 is divided by 1192.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 12 = f - 40, 4*p + 4*f - 32 = 0. Calculate the greatest common divisor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-1 + -8 - (16 - (-20 - -43))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 2*c + 6, 4*s - 6*c = -4*c - 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1566 - 1565. Which is the second smallest value? (a) n (b) -2 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*o - 51120 = -158*o for o.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1331*m**3 - 3674 with respect to m.\nAnswer: -3993*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 1\/12*r**4 + 0 + 0*r + 0*r**3 + 1\/60*r**6 + 1\/15*r**5 - 2*r**2. Solve c(a) = 0 for a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -406.03 + 407. Let z = -1.0631 + y. What is z rounded to 3 decimal places?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*q - 117 = -118*q. Solve 6*t - 15 = q*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1)*(-2*o**2 - 2*o**2 + o**2) - 4*o**2 + o**2 - 2*o**2 as t*o + m*o**2 + b and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -560.0846469 and -178004?\nAnswer: 177443.9153531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 73*t + 587. Let a be g(-8). Let c(w) be the second derivative of 4*w**2 + 5*w + 0*w**a - 1 + 41\/12*w**4. Find the first derivative of c(b) wrt b.\nAnswer: 82*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 322646468 divided by -2\nAnswer: -161323234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*g + 99*g - 48 = 0. Let q(o) = -3*o - 4. Let n(t) = -t**2 + 4*t + 5. Give g*n(u) + 4*q(u).\nAnswer: -3*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*i - 3*p + 7, 5*i + 5*p = -15. Let y be 8\/(-4) - -3 - i. What is the third derivative of -3*k + k**2 + 3*k**6 + y*k wrt k?\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 649*y + 33 = 646*y, 0 = 2*r + y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*j + 70 = 0. Let t be (j\/(-4))\/(10\/(-20)). What are the prime factors of (-55 + t)*(-2)\/4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 + 0.23. What is the biggest value in 0.1, i, -2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 0*u - 7*u + (-2 - 1 + 1)*(-8*u + 2*u + 2*u) + (3 - 3 - 2)*(-u - u + u) + 3 - 3 - 3*u - 9*u - 56*u + 17*u to the form v + c*u and give c.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3423332 is divided by 3073.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -444 (c) -0.4 (d) -13 (e) -4 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/35456676 and -163\/6113220.\nAnswer: 177283380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/v**(1\/2))\/v)**(-37)*(v*v\/(v**(1\/3)*v))**44)**(-3) assuming v is positive.\nAnswer: v**(-65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1060, 6206, 25980, 64532, 128132, 223050?\n\"Answer: 1045*d**3 - 16*d**2 - d - 2088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**3 + a**2 + 9*a + 3. Let y be c(-3). Let o = y + 184. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1251724?\nAnswer: 2, 312931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 + 55. Solve -16 = n + b*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((5 + (1*2*sqrt(75) - (-4 + 1*sqrt(75))))*5)**2.\nAnswer: 2250*sqrt(3) + 3902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -18083 and -18083 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 713 and 527.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 22*f - 2. Let j be t(-21). Let i = j + -15. Find the second derivative of h - 23*h**i - 17*h + 9*h**4 wrt h.\nAnswer: -168*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -628375 (b) 5\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10122120020220 + 2201?\nAnswer: 10122120100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 15*q. Let w(l) be the second derivative of -l**3\/2 + 30*l - 4. Give w(b(r)).\nAnswer: -45*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3044*q = 3045*q + 1, -5*g - 2*q - 3*q = -10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 2 = -3*p + 19, -3*t = 4*p - 29 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3363\/2 - -1680. What is the third smallest value in 1.4, a, -0.04, -3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uxjdjul?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 13*r**4\/2 - 7*r**3\/3 + 3*r**2 + 4*r + 12. Let t be j(-6). What is t rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(192)*-1 + -1 + 4*(sqrt(192) + (sqrt(192) - (-1 + sqrt(192))) - sqrt(192) - sqrt(192)) - (-4 + sqrt(27)*-6 + 2))**2.\nAnswer: -220*sqrt(3) + 1479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z**5\/5 - 193*z**4\/5 + 102*z**3\/5 + 1492*z**2\/5 + 1752*z\/5 + 576\/5 = 0.\nAnswer: -8\/7, -1, -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, 0.093, 196?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1652358, 3304718, 4957078, 6609438?\nAnswer: 8261798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 30*z**2 - 29*z + 1. Suppose 0 = 5*y - 3*i - 0*i - 139, 5*i = y - 19. Let d be s(y). Solve 0 - d = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331 + 109 - 39*j + 112 + 24*j + 110.\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7095 - -7135. Solve -i = -49*t + 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(126))\/sqrt(2) + (5 + (sqrt(7) - sqrt(28)) + sqrt(7) + 1)**2.\nAnswer: 3*sqrt(7) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 l, and 2 z when four letters picked without replacement from zzkkl?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8316\/112)\/33*-16?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 + -287\/4. Which is the biggest value? (a) -3 (b) -2\/11 (c) -1\/2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19448.\nAnswer: 2, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 996, 3\/14, 4, -3?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*q = -3, 3*q + 13 = 5*o - 16. Which is smaller: -2 or o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36396 is divided by 1254?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 56731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105844 - 51791 = -30*v + 7575. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/((-4410)\/36)*88\/22.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x + 0*x - 4*x + 5*x - 2*x - 4*x + 4*x + 5*x - 2*x + (1 + 2 - 1)*(-x - 2*x + 5*x) + 2*x + 3*x - 3*x.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.29444cm in millimeters?\nAnswer: 132.9444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 11339600 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 0)*4\/(-32)*-317924 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-1)*(-2)\/6*2. Let j be (-12818)\/(-119) + y\/7. What is the tens digit of (3 + j\/15)\/((-2)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19739.844 months in centuries?\nAnswer: 16.44987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*g - 35. Solve 3*s = g*s + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 96*l + 4507. What is d(-47)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Put 4, 1, n in descending order.\nAnswer: 4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002614888 rounded to five dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/8221 + 1422401\/345282. Find the common denominator of 13\/12 and f.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 6*m**2 - 4*m**2)*(4 - 3 - 3) - 6*m**2 + 4 - 4 - 5 - m**2 - m + 1 + 10.\nAnswer: -11*m**2 - m + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*s + 3)*(-2 + 0 + 4) + (4*s - 5*s + 0*s)*(202 + 84 - 23) to the form l + r*s and give r.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-2 + sqrt(833) + 1 - 2*2*sqrt(833))*-3)**2 + -3 + -5)*-3.\nAnswer: 1134*sqrt(17) + 202470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 47*t + 58. Let o be y(-1). Let g(v) be the second derivative of 0*v**5 + 0 - 1\/10*v**6 + o*v + 0*v**2 + v**4 + 0*v**3. Solve g(w) = 0 for w.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - -0.1. Let k = -0.2 - -0.1. Let o be 2\/(-9) + (-1 - -1). What is the nearest to k in o, 4, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 51?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1412124 is divided by 16612.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r**3 + 8*r**2 + 32*r + 18. Let s be q(-4). Let n = -169 + s. Is 27 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9528*k**2 + 135 + 141 - 276.\nAnswer: -9528*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -71506171.7 and -0.0002.\nAnswer: -71506171.7002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 579*b - 302*b - 326*b.\nAnswer: -49*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 197*j + 644. Does 28 divide q(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -0*q - 4*q - 9849, 0 = -3*g - 2*q - 9849. What is g rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*b + 19*b + 5*b)*(0*b**2 + b**3 + 0*b**2).\nAnswer: 11*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-142 - -120) + 24 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005180545 to 5 decimal places.\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45? (a) -4 (b) 29 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75265259?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 66989, 134022, 201055, 268088, 335121, 402154?\n\"Answer: 67033*x - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16c (base 15) in base 14?\nAnswer: -195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -264?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 1)\/((-2)\/20). Suppose 0 - q = -5*x. Suppose s = 0, -r + 3*s - 6*s + 3 = 0. Put r, 1, x in descending order.\nAnswer: x, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 44 = 9*f. Suppose -5*h + r = -25, -4*h = r - 5*r - f. Let w(d) = -11*d - h*d + 8*d - 10*d. Let s(v) = -2*v. Give s(w(c)).\nAnswer: 38*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**3\/3 - 5*d**2\/2 + 6*d - 12. Let p = -37 + 39. Let a be x(p). Solve 2*f - f + 3 = a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -904005 and -4?\nAnswer: 904001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 89. Suppose 8 = -l + u. What is the tens digit of (0 + 1)\/(1\/l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 6:54 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 71*s**4\/6 - 33*s**3 + 3*s + 20. What is the second derivative of v(l) wrt l?\nAnswer: 284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13, -8, 11, 50, 115, 212, 347, 526?\n\"Answer: g**3 + g**2 - 5*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*v + 12. Suppose 0*j = 3*j - v. Solve 5*s = 3*b + j, 7*s + 5*b = 3*s + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120167 + -46986. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179180000 rounded to the nearest one million?\nAnswer: -179000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2097, 8281, 18573, 32961, 51433?\nAnswer: 73977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 56 = -4*g + 8*k, 4*g - 68 = -4*k. Let w be 3\/g + (-16)\/280. Factor 0 + w*u**2 - u.\nAnswer: u*(u - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.2 (b) 3 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -3. Let l = 611 + -610. What is the nearest to l in g, -0.5, -0.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2769 or -2875?\nAnswer: -2769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4146573.\nAnswer: 3, 1382191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0504009 * -32.3.\nAnswer: 1.62794907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*s + 1089 = -671 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4) - (-15)\/6. Suppose -m*o - 4 = -5*o. Solve 5 = x + o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - r**2 - r**2)*(3 - 3 - 3)*(-6 + 25 - 70).\nAnswer: -153*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -3.31 (c) 137 (d) -13 (e) 0.3 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -8*l - 9 - 18 - 23 + 0. Does 11 divide b(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-8\/5)*t)\/t**(-7))\/(t**1\/t)**(-4\/9))**(-5\/4) assuming t is positive.\nAnswer: t**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -86.933 and -1364732.652.\nAnswer: -1364819.585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 6*f**2 - 8*f + 5. Let d be l(7). Let w = 0.281 - 0.081. Let j = -20\/9 - -26\/9. Which is the biggest value? (a) j (b) w (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/3)*f**(2\/5)*(f\/f**0)**(-8)*(f*f**2*f**(2\/9)\/f)\/(f**(-1\/5)*f**(5\/2)) assuming f is positive.\nAnswer: f**(-721\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 11*t - 24. Suppose -5*i - 2*h = -12, -i + h = -t*i + 5. Solve i*n - 14 = -6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -69875b (base 16) to base 2\nAnswer: -11010011000011101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/10*-4*(-1362)\/(-12). Round z to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 + 5*s**2 - 44*s + 127. Let a be d(3). Let o(h) = h**2 + 11*h - 40. Give o(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**4 + 37*z**2 - 2*z**4 - z**3 + 61*z**2 + 5*z**4 - 4*z**2 in the form i + l*z**3 + d*z**2 + u*z**4 + o*z and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.10334 years to centuries.\nAnswer: 0.5910334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m + 22. Let t(l) = l + 1. Let a(g) = 179*g - 2688. Let o be a(15). Determine o*t(h) - z(h).\nAnswer: -h - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(405) + -2*sqrt(405) + 2 - (0 + 6*sqrt(405) + -5))**2.\nAnswer: -1008*sqrt(5) + 19909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*o + 63*o - 33*o**3 + 63*o - 196*o.\nAnswer: -33*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 4787, -4 in decreasing order.\nAnswer: 4787, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 + -39. What is the greatest common factor of f and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 19. Let u = s - -4. Suppose u = -4*z - z. Sort 4, 3, z.\nAnswer: z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -66334142159733.\nAnswer: -66334142159734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51027 is divided by 24849?\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 + 5*s - 6. Let j(a) = 3*a - 2 - 1 + 0 - a**2. Let f(n) = 5*j(n) - 3*o(n). Differentiate f(q) with respect to q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328049 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 19*z + 72. Let i be t(14). Differentiate i*y**2 - 20*y**3 - 17 + y**2 - 3*y**2 with respect to y.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 9 = -0*n - b, -5*b + 3 = -4*n. Let d be 6 - (-2 - -8) - -3. Differentiate -8 - 2*m**d - 4*m**n + 11*m**3 with respect to m.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308000 rounded to the nearest 1000?\nAnswer: 308000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*l + 800 = 0, 4*j = 3*l - 5*l + 1600. Which is greater: 399 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*1\/(-3) - (-76 - (-17024)\/228)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*v*w**5 - 1132*v*w**2 - 13*w**6 + 2*w**2 wrt w.\nAnswer: 2640*v*w**2 - 1560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1456\/85593 + 2\/831. Let i be 4\/3 + 6 + 4\/6. Suppose -5*c - 9 - i = -3*m, -2*c - 4*m + 14 = 0. Is c smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*3\/216)\/((-1)\/(-3)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 38*s - 191451. Determine y(-419).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 - 16 - -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 divided by 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46950153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -720, 2, -44 in increasing order.\nAnswer: -720, -44, -34, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 4346706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(95)*5 + sqrt(95) + sqrt(95) + 6*2*sqrt(95))\/(sqrt(30)\/(-2*sqrt(486))*4).\nAnswer: -351*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 y, and 1 d when three letters picked without replacement from ynsdymjsmmmd.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 242003, 968291, 2178771, 3873443?\n\"Answer: 242096*d**2 - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 187 - 152. Calculate the lowest common multiple of 9 and d.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4 = -13. Let x be 3\/(1\/(-36)*l). Suppose -2*u = -3*q + x, 0 = 5*q + 2*u - 45 + 1. What is the least common multiple of 22 and q?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2062*f + 1 - 1 - 1162*f**3 - 230*f**3.\nAnswer: -1392*f**3 + 2062*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -163 + 133.1. Let r = -6.9 - s. Which is the second smallest value? (a) -2 (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 222498282*d - 414706967 with respect to d.\nAnswer: 222498282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-402 + 550 - 350)*(-5 + p + 5).\nAnswer: -202*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*n + 2*n + 4*j, -2*n + 42 = 2*j. Let v = -16 - -22. Suppose 0 = 59*g - 61*g + v. Calculate the remainder when n is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38019*z**3 + 5*z**2 + 37248*z**3 - 5*z**2.\nAnswer: -771*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3dbe0 (base 15) to base 3.\nAnswer: -101002012110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(2) + 0)*6 + (sqrt(50) - sqrt(250)\/sqrt(5)))*-5 + (sqrt(128) + -4)*1*1)*3)**2.\nAnswer: 1584*sqrt(2) + 8856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3489 - -48899\/14. What is the common denominator of p and -81\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -26*i + 327. Determine t(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**4\/24 + 4*d**3\/3 + 10*d**2. Give j(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*a - 2096 - 881 = 2518 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4146, -8220, -12432, -16782, -21270?\n\"Answer: -69*z**2 - 3867*z - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/6)\/(1\/3). Suppose -492*b + 232 = -1244. Solve -3*p - 16 = -2*i + b*i, -2*p - 12 = k*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1289 is divided by 50?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(9)*-2*3))**2.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.19 in 16, 172\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z**2 - 62*z**2 + 43*z**2 + 10*z**3.\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2237 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*m = -37*m - 6, 5*m = 2*w + 2. Let z be -2*(-7*(-3)\/w + 2). Solve -3*d + o - 11 = 0, o - z = 4*d + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25 and 206.34.\nAnswer: -5158.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1732045277.\nAnswer: 16111, 107507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.81 - -0.71. Let v = -18.9 - p. What is the closest to 0 in 0.4, -27, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9248 - -9248.05649. What is g rounded to 3 dps?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/50 and ((-973)\/556)\/((-1)\/(56\/30)).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 11:17 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 + 8*i + 10. Let f be k(-4). Suppose 58*t - 172 = -28*t. Solve f = -3*a - t*h - 0, -2*a + 5*h + 25 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 946374 by 6.\nAnswer: 157729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 10:59 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from inniinn.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3536061797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5*n + 4)*(3*n - n - 5*n) + 37*n**2 + 2 - 2.\nAnswer: 52*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -448, -1815, -4094, -7285, -11388, -16403, -22330?\nAnswer: -29169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) -0.2 (c) -7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 15*b**2 - 7*b - 15. Calculate s(-15).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmem when four letters picked without replacement from mllleemtmm?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 15 = 0, -5*b - 42 = -0*t - t. Suppose 5*f - 29 = -l, l + 3*l = 2*f - 16. Is 92\/f + 3\/b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 - 51. Let o(h) = -2*h - 2. Let s be o(-5). What is the greatest common divisor of s and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1753 + -1752. Which is the closest to 0? (a) 6 (b) j (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24948546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7741.01 seconds to nanoseconds.\nAnswer: 7741010000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j + 114*j**3 + 3*j + 308*j**3 - 11*j.\nAnswer: 422*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -42*s**2. Let l(p) = 1326*p. Give z(l(i)).\nAnswer: -73847592*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78942 is divided by 1384?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 93*v**2 - 90*v.\nAnswer: -3*v*(v - 30)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 0, 4*t - 5*t = -2*t + l. Solve -6*q + 0*q - 6 = t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 5*v + 2. Let o be w(-3). Let m be (-14)\/(-35) + o\/10. Let q = m + 6. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 3*i**2 - 20*i - 50. Let r be f(-5). Let c(y) be the second derivative of 5\/6*y**3 + 0 + r*y**2 - 5\/6*y**4 - 3\/4*y**5 + 10*y. Factor c(b).\nAnswer: -5*b*(b + 1)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1769040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 87844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1322 (base 12) in base 3?\nAnswer: -2222222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 347.3 + -345. Let h = 208 + -1454\/7. Which is the smallest value? (a) r (b) h (c) 1\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 30\/(-6) + 1384 + -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**2 + 4*l - 4. Let s be q(1). List the prime factors of 5 + (-5 - s) + -4 + 567.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -9*d - 2. Let a(o) = -4*o + 1. Let f(u) = -a(u) + z(u). What is f(5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/174096 and 77\/474.\nAnswer: 13753584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 224074111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 18, -258, -181, 1, -5, 3 in descending order.\nAnswer: 18, 4, 3, 1, -5, -181, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1120711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 - -83. Let t = 14 - c. Let x = t + 14. Solve 4*m + x = 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1068205 to three dps.\nAnswer: 0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37811955 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -7247.3 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43069?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/6 - (-51)\/6. Solve -1 - 1 = -5*w + f, -c = 4*w - 4*f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21166 + 12134. Let i = 9025.0008 + s. Let m = -7 - i. Round m to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -50*b**2 + 1909*b + 12. Calculate n(39).\nAnswer: -1587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**1)**(2\/25)\/((y**(-2)*y)\/y*y*y**(1\/4)\/y) assuming y is positive.\nAnswer: y**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14318657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -789 + 1265. Suppose p = -h - 319. Let g be 6\/(-8) + h\/(-4). What is the highest common divisor of g and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**4 - 53424*b**3 - 176823112*b**2 + 10439418672*b + 10616188364 = 0.\nAnswer: -6707, -1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55985 by 3.\nAnswer: -55985\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 34*l**3 - 176*l**2 - 141*l - 158. Calculate h(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 12100278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 28*i + 3. Let v be n(5). Suppose -16*h + 217 = 9. What is the greatest common divisor of h and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/2 + 1235*t**3\/2 + 379449*t**2\/2 - 1147007*t\/2 + 383161.\nAnswer: (t - 2)*(t - 1)*(t + 619)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13970 or -13085?\nAnswer: -13085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 25\/10) + (-74)\/(-4). Suppose -6 = -8*d + z. Suppose 5*j = 2*n + 272, d*j - n - 52 = 2*j. What is the remainder when j is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2151 (b) -9\/2 (c) 1253\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + o**2 - 4)*(2*o**2 - 2*o**2 - 2*o**2) + 170*o**4 - 25130*o + 25130*o to the form j*o**2 + x + m*o**3 + s*o**4 + y*o and give s.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*u - 17 = -4*g - 79*u, 5*u = -3*g + 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 428bd2 - f?\nAnswer: 428bc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 838163, 838194, 838225, 838256?\nAnswer: 838287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j**4\/5 + 7836*j**3\/5 + 15366388*j**2\/5 + 61371552*j\/5 + 61340224\/5 = 0. Calculate j.\nAnswer: -3916, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**5\/30 + b**2. Suppose -11*w + 16*w = 20. Let u(j) = 1 + 15*j + 3 - w. Calculate g(u(t)).\nAnswer: 450*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or 817\/21?\nAnswer: 817\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35e3 (base 15) to base 12.\nAnswer: 6773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1614, -1625, -1628, -1617, -1586, -1529, -1440?\nAnswer: -1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 8 + 22 - 230*z + 194*z.\nAnswer: -36*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/162*280\/232960*-312?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420469075 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, o: 2, h: 3}. Give prob of sequence llh.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -46, -96, -146, -196, -246?\n\"Answer: -50*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 785 divide 3815885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/2 + 771*c\/2 + 150165.\nAnswer: -3*(c - 470)*(c + 213)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100 (base 2) to base 12.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-13))\/2 - (-1627)\/(-13). Let g = c - -251. What is the greatest common divisor of 18 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4\/3, -5, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16, 15, 24, 49, 96, 171?\n\"Answer: a**3 - a**2 - 5*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7208393161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 26*y - 5. Let t(m) = m. Let q(k) = -r(k) - t(k). Let f be q(-2). Suppose 3*i = 73 + f. Calculate the remainder when i is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22385 - 4432277\/198. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-333)\/74 + 1692\/40 + -31.\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 5:50 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1311, 5617, 12531, 19425, 26293?\nAnswer: 33129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/2))\/m*m)**(-28)\/(m**(2\/3)\/m*m*m)**(-12\/5)*(m*m\/m**0)**(-11)*(m*m**0*m)\/(m**(2\/11)\/m) assuming m is positive.\nAnswer: m**(-629\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.1 + 29. Let s = h + -23.84. What is the second smallest value in -3\/8, 0.3, s, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 23*i**2 - 40*i + 417. Calculate x(24).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125910959?\nAnswer: 17, 41, 180647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2018 + -18157\/9. Which is the second biggest value? (a) -4 (b) -1 (c) f (d) -4\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3496688l?\nAnswer: 349.6688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away -4457050222?\nAnswer: 4457050228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/(-2*9\/414).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + -12. Let s be l - 5 - (1 + -3). Let i = s - -41. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 5*g**2 + 6*g. Let b be x(6). Let h be 4\/(b + 0 - -2). Let m = h + 1. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 8. Let w be (-74)\/12 + h\/30. What is the units digit of (w\/(-2))\/((-18)\/(-120))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1630 - 540 = 793*x - 758*x for x.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11\/5 (b) 4.6 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/2728 and 79\/365552.\nAnswer: 365552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 17\/2 (b) -4878 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47240*i**2 + 118606*i + 1 wrt i?\nAnswer: 94480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 - 490971450*w + 12052648235755125.\nAnswer: 5*(w - 49097145)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5048, -10092, -15130, -20162, -25188, -30208, -35222?\nAnswer: -40230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/106742 and 62\/373597?\nAnswer: 747194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 180\/20 + (-5)\/((-5)\/(-6)). Solve -2*a - j = -w, -2*a = 3*j - j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291925 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - f**2 - 4*f. Let q(y) = -y - 8 + 21 + 1 + 14. Calculate the remainder when q(6) is divided by n(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1788, 3571, 5350, 7125, 8896, 10663, 12426?\nAnswer: 14185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 3)*(3*d - 3*d - 2*d) - 7*d - 7*d + 4*d - 8*d + 2*d - 2*d to p + i*d and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v + 53*v = 483 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.4 + 2.49. Let n = 0.08922 - a. What is n rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 2 = 10*q, 19 = 2*b + 5*q. Let g(z) = z**2 + 2*z - 36. Calculate g(b).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from jujjagjuujjjgu?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 134, 5 in decreasing order.\nAnswer: 134, 5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74071840.\nAnswer: 2, 5, 269, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198, 398, 600, 804, 1010?\nAnswer: 1218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**2 + 9*a - 7. Let n be l(2). Is -12\/65 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*o + 340*o + 493 = -533 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - 0.3. Let z = -245 - -254.05. Let f = -9 + z. What is the second biggest value in o, -1\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1802775, -3605508, -5408243, -7210980, -9013719, -10816460, -12619203?\nAnswer: -14421948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 25 = 2*f + 3*f, v - 15 = 3*f. Which is bigger: v or 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, 0.2, -3, -39?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.3173 and 731835.\nAnswer: 731837.3173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 711 is divided by 564.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001010100100111010 (base 2) to base 4.\nAnswer: -12022210322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + b - 13. Let x be z(6). Suppose 0 = 10*i + x - 189. Factor -w**2 + 1 - 5 + i + 16*w + 5*w**2.\nAnswer: 4*(w + 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v - 5*p = -35, 0 = -v - 3*p + 17. Suppose v*c - 4 = c. Find k, given that 3\/2*k**2 + 5\/4*k**3 + 1\/4*k**c - 2 - k = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c - c**4 - 4*c + (3 - 3 + c**3)*(-216 + 33*c + 216) in the form d*c**4 + q*c + f*c**2 + s*c**3 + j and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 3:45 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4 - 4 + 3 - 16*k + 7*k wrt k.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiffifiiiffiffii. Give prob of sequence iif.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8694*a - 11520*a - 13620*a to r + x*a and give x.\nAnswer: -16446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3103?\nAnswer: 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 1}. What is prob of picking 1 d and 1 l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 24*j**2 + 8*j + 204. What are the prime factors of r(23)?\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**3 - 5*c**3 - 3*c**4 + (-16*c + 16*c - 56*c**3)*(2*c + 2*c - 2*c) + (-3*c**3 + c**3 + 3*c**3)*(-34*c + 45*c - 26*c).\nAnswer: -130*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 11*k + k - 1 + 4. Let j be r(4). Let v be (j\/9)\/1*3. What is the greatest common divisor of 153 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57956, -57955, -57954, -57953, -57952?\nAnswer: -57951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 150640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -68.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 264*k**3 - k**2 + 2*k - 1. Let v = -48 + 49. Is 34 a factor of c(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 88 = -3*a + 2*a, 0 = 3*p + 4*a - 53. Let g = 17 - p. Let f(k) = -9*k + 5. Let l(r) = -5*r + 3. Give g*f(d) + 11*l(d).\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11951 + 59944\/5. Let t = q - 265\/7. Is -2 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -32229, -64470, -96711, -128952, -161193?\n\"Answer: -32241*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 96 - 1002\/11. Let l = 2\/3963 - 103052\/27741. Calculate the common denominator of l and v.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*a + 2. Suppose 239 = 5*s + a*c + 21, -c + 172 = 4*s. Suppose -3*t + 3*r + s = 0, 2*t + 0*r + r = 28. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005737181779 rounded to 6 dps?\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 u when four letters picked without replacement from {j: 1, p: 3, k: 1, t: 2, u: 8, l: 1}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 35. Suppose 4734 + 8846 = d*z. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -569158*x**3 - 125333*x**2 - 1 wrt x.\nAnswer: -3414948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1309955605 divided by -261991121\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5*p + 16 = 0, -11 = -11*t + 10*t + 4*p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -28, -0.9, -0.099, -0.2?\nAnswer: -0.099","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -5.94 (c) -0.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-3\/14))\/f*f**(5\/3) assuming f is positive.\nAnswer: f**(79\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 10) to base 11\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 67*h - 5 + 3.\nAnswer: -67*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-2\/5)\/z))\/z*z)**(-1\/3)*z**(3\/8)\/z*(z\/((z*z\/((z*z**(9\/2))\/z))\/z))\/z*z assuming z is positive.\nAnswer: z**(409\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(2 + (-2)\/(-1)). Let h be -2 - -59 - (i + -4). Let c = h + -36. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 6*x + 0 + 4*x**2 - 2\/15*x**5 + 0*x**3 - 1\/30*x**6 + 1\/2*x**4. Factor j(p).\nAnswer: -4*p*(p - 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**3 - 4237293*m**2 = 0?\nAnswer: 0, 4237293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 5. Determine o(30).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-410)\/(-46) + -5)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1. Let x(h) = -2*h - 5. Let v(f) = x(f) + 5*z(f). Let m(a) = 3*a**2 - 10*a + 10*a. Calculate m(v(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -27. Solve 0 = 4*f + f - t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292726381 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15050490 and 126?\nAnswer: 45151470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 9*h - 22. Determine s(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -282*2\/(-4). Let n = 22 + j. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -26, 192, 1.\nAnswer: -26, -5, 1, 2, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c**2 + 61 + 2*c**3 - 20 - 41 + 13*c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + s + s)*(-s**2 - 3*s**2 + 2*s**2) - 4378*s + 4378*s - 173*s**3 + 0 + 0 - 2*s**3.\nAnswer: -179*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 5*w - 122 + 368, -5*f = -w - 410. What is the smallest common multiple of f and 22?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 22 - 12. Let y(c) be the third derivative of -c**6\/60 - c**5\/60 + c**4\/12 + c**3\/6 - c**2. Calculate y(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 - 3 - 4*n + 4*n - n.\nAnswer: -n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*g + 166, -2*g + 99 + 15 = 3*o. Let b = o + -9. Suppose 38 = 4*q + 2*j, -4*q - 11*j + b = -16*j. Solve -a + q = -4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (151*q**2 + 4*q - 165*q**2 + 1 - 2)*(-4*q + 4*q + 2*q)*(0*q + 2*q - q).\nAnswer: -28*q**4 + 8*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1023*w + 556*w - 606*w = -6831 - 8191 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 256\/14 - 10\/35. Let n = x + 6. What is the remainder when 44 is divided by (n\/(-36))\/((-4)\/90)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 25. Let z be o(-21). Suppose -5*j + 236 = 4*x, z*x + 3*j - 236 = j. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeweeteeteti. Give prob of picking 1 t and 3 e.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 4. Let g = -0.2 + r. Let s(d) = d**2 - 4*d - 1. Let w be s(5). What is the closest to -1 in -1\/4, w, g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*j*n**3*p*y - j*n**3*y - j*n**2*y + 11*j*n*p + 32*j - n**3*y wrt n.\nAnswer: -258*j*p*y - 6*j*y - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -104. Let c = 46 + a. Is -58 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -18*m + 1. Let s be h(6). Is s\/(-3) + 2\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26002307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 282 + -105. Let g = m - 176.75. Which is the nearest to -1\/2? (a) -3 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69585\/4 + -17397. Which is the biggest value? (a) 0.3 (b) 1\/5 (c) 153 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62*(-26)\/(-52) + 22332\/720.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 - u**4 + 0*u**4)*(4 - 4 - 2).\nAnswer: 2*u**4 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 631*m - 625*m = 198. What is the smallest common multiple of 9 and m?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*w + 250, -2*w - 300 = -4*z + 2*w. Let o be (1\/(-5))\/((-16)\/z). Suppose d - 10 = -d. Solve 0 = 2*t - t - x + o, d*x = -3*t + 37 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w. Let l(n) = -337*n - 337*n - 426*n - 380*n + 84*n. Determine g(l(u)).\nAnswer: 1396*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -434555188328 plus -0.1?\nAnswer: -434555188328.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - r + 2. Let q = 62 - 62. Let t be l(q). Suppose -3*j - 3*k = -66, 2*k = -3*j - t*j + 95. Calculate the remainder when 27 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 + 27*p**2 - 11*p + 41. What are the prime factors of u(-13)?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-50)\/(-175)*35 - ((-4)\/22 + (-33876)\/(-3366)). Let t = 19 - 9. Suppose 0 = i + i - t. What is the biggest value in 4, i, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -12 + (23 - 17) - -9\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.3 and 0.1?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**5\/5 - 116*f**4 + 4588*f**3 - 57484*f**2 + 425616*f\/5 + 147312 = 0. Calculate f.\nAnswer: -1, 3, 22, 31, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1077090859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/75 of a century in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*(-1 + sqrt(1377) + 1) - (-3 + 1 + 0 + sqrt(1377)))**2.\nAnswer: -99152 + 432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60103 is divided by 113?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 4*t - 164. What is the third derivative of -4*v + t*v**3 - 43*v**3 + v**2 + 3*v**6 - 31*v**3 wrt v?\nAnswer: 360*v**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, -4, 6, -2, 630 in increasing order.\nAnswer: -4, -2, 6, 65, 630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-354)\/15)\/((-5734)\/(-14335)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 5 = -2*k - 4*z, -k - 19 = 4*z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3262 = -121*u + 3272. Solve -u*m - 49 = 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 182059\/2061 + -4\/2061. Which is bigger: j or 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.31 - 0.09. Let n = x + 6. Let v = n + -4.5981. Round v to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 3:54 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/3*4\/(-16)*(858\/(-1))\/(-11).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -233*r + 574. Calculate i(3).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*l**3 - 3*l**4 - 14*l**3 + (-2*l - 1 + 1)*(3*l**3 - 3*l**3 - 2*l**3))*(-1 - 2*l + 1).\nAnswer: -2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*r + 7*r - 30 + 30 + 2*r - r + r + (-4 + 3 + 3)*(1 + 2*r - 1) + r + 0 + 0 + 3*r - 2*r - 2*r.\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8539505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -86ec + -9d?\nAnswer: -8789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*d + 4. Suppose d = 4*q - 10. Calculate the remainder when 3 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -28\/4035?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*p = 66*p + 8, -2*p = -4*l - 48 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/30*(-41)\/(-73). Let f = d + -1\/146. Suppose 31*o + 23*o + 162 = 0. What is the nearest to -1 in 0.5, o, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(2 - 1 + 1)*(0 + 0 + 2)*(4*i**4 + 6*i**4 - i**4).\nAnswer: -72*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 123589?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 617 (base 16) to base 12.\nAnswer: a9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-1 - 3) + -44 + 48 + 118\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - 221. Let a = -247 - d. Which is bigger: 20 or a?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-1) + 7)\/1. Let y = v - 4. Suppose s - 15 = -y*s. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -13956\/14083 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*x + 96*x + 8 = 0. Let t(f) be the second derivative of -f**4\/12 - 7*f**3\/6 - 3*f**2 + f. Calculate t(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = l - 0*l - 49189409, 3*l - 147568185 = -5*y. Let z = 34389400 - l. What is z rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-18 - (373 - 369)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 22. Let b(s) be the first derivative of 1\/2*s**2 + 0*s**3 + 0*s - h - 1\/4*s**4. What is the second derivative of b(u) wrt u?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54 or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 130948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.2. Let q = -983.98 + 987. Let t = q + -8.02. What is the nearest to 3 in t, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2 - c**3 - 3 - 4 wrt c?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*g = 3004. Let s = 5089 - g. Suppose -s - 3415 = -5*v. What is v rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337173331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -18, -5, 42, 135, 286, 507, 810?\nAnswer: 1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d - 5. Let w(q) = q - 1. Give i(b) + 4*w(b).\nAnswer: -b - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77295 is divided by 38639?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 7*n**2. Let g(d) = -8*d**2 - 3*d + 3. Let z(s) = -15*s**2 - 5*s + 5. Let i(y) = 5*g(y) - 3*z(y). Calculate x(i(v)).\nAnswer: 175*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(2\/(-4)) + -18 + 18. Suppose 0 = -n*b - 2*b + 1056. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 919 + 920 + 919 - 2758 + 15*m.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27823705 rounded to 2 dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*n + 2*p + 31690, -2*n + 12689 = p. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1330772691.\nAnswer: 3, 283, 449, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 - 2*c + 2*c. Suppose -25 = 5*h, -2*h + 1 + 64 = v. Let p(s) = 75 - 3*s - v. Give p(i(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 2:08 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-135 - 0)\/(-3) - 2. Suppose -4*j + 43 = -2*i - c, -3*i - 3 = 0. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2526080019 greater than 2526080018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.6236 + -0.7764. Let b = -12.6 - -19.5. Let n = b + x. Sort 3, n, -3\/2 in decreasing order.\nAnswer: 3, n, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6350? (a) -3 (b) -0.3 (c) -0.4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w - 19*w = 112. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-2)\/35)\/(120\/70).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/34880 and -1\/10464?\nAnswer: 104640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*100\/30)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3965008807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20222 - 100140314?\nAnswer: -100211041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4835862?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(4)*4) - (sqrt(24) + sqrt(864)*2))\/((sqrt(40) + sqrt(160)\/sqrt(4)*6)\/(sqrt(5) - (1*sqrt(245) + sqrt(5)))).\nAnswer: 51*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + -2)*(-1)\/(-2). Let q be 2\/9 + (-33)\/27. Calculate the least common multiple of (q + b - -2) + 6 and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i - 10077528 - 10077545 + 20155073.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 303*b - 2662. Give d(-9).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149 + 0.07.\nAnswer: 149.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9948969.\nAnswer: 3, 1105441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -12*h - 417. What is x(-29)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -64846 to the nearest one thousand.\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 5*d**4\/12 - 25*d**3\/6 + 10*d**2 + 154*d. Factor o(t).\nAnswer: 5*(t - 4)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 4*s - 1. Let f = 49 + -34. Suppose 5*m + 0*m + f = 0. Calculate i(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 + 45. List the prime factors of t.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 4. List the prime factors of 108\/4 - i*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3525 - 0?\nAnswer: -3525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94331?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 414969362?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13011423 - 21?\nAnswer: 13011402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*p**3 - 89*p**3 - 72*p**3.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 + 0*q**2 + 3*q**3 - 2*q**2 + 3*q**3 + q**4 as x*q**2 + n*q + s*q**4 + k*q**3 + h and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*l**4 - 10*l**4 + 2 + 26*l**4 + 2*l)*(-1 + 0 + 3).\nAnswer: -2*l**4 + 4*l + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 95*i**2.\nAnswer: -5*i**2*(i - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 5*o - 28 = 0, -5*v = -28*o + 27*o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (165\/35 + -5)*3\/2\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/2*(-1 + -1). Suppose 149 = -j*i + 3*t, -i + 7*t = 2*t + 50. Is 10\/i - 326\/(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 0, 0 = 2*d - d + p + 4. Let y be 6\/(-9) - d\/15. Let a = 25\/28 + -8\/7. Sort y, a, 4 in increasing order.\nAnswer: y, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04 + 2.04. Let q be (-2240)\/(-75) + 6\/45. Let y be -9 + 6 - (-94)\/q. Which is bigger: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 292, 878, 1746, 2896, 4328, 6042, 8038?\n\"Answer: 141*w**2 + 163*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-4) - (-39)\/52\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**3 - 9*f**2 + 19*f + 1. Suppose b - 3*b + 12 = 4*v, -5*v - 15 = -5*b. What is the hundreds digit of r(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122100 + -112001?\nAnswer: 1010022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2079.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from {e: 3, q: 1, b: 5, n: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + 9. Suppose 19*o = t*o - 364. Suppose -4*i + x = -88, -28 - 49 = -3*i - 2*x. Calculate the remainder when o is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (236\/(-531))\/(17\/(918\/(-1956))).\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2202 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**4 - 130685*a**3 - 1104946500*a**2 - 2712298985840*a + 2625606482812480 = 0. Calculate a.\nAnswer: -8956, 731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-63) - 6\/27. Suppose -t - 28 = -o, -o + l*t + 43 = 4*t. What are the prime factors of o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 - 11*i**2 - 5*i - 8. Let q(y) = y**3 + 6*y**2 + 3*y + 4. Let h(s) = 4*m(s) + 7*q(s). Let t be h(-3). Is 2\/(t\/30*3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w*(w\/(w**(-1\/4)\/w))\/w*w))**(-11))**(-4\/21))**(-6\/11))**(9\/5) assuming w is positive.\nAnswer: w**(162\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1484 divided by 212\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 0.017 (c) -1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6334390 a multiple of 380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 740.314 to the nearest ten.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5*u - 10, 8*b = 11*b + 5*u + 10. Solve b = -2*o + o + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 2*n - 2*l + 56, 25 = -2*n + 5*l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.9543 rounded to 1 decimal place?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 2 (c) 2138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*p + 32 = -4*p, 0 = -5*p - 10. Let o be 6*(-2 - l\/6). Suppose 2*u + 3*f = 2*f + 138, -o*u + 5*f = -162. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3242 - -6485\/2. Let u(l) be the third derivative of -r*l**4 + 0 - 13\/6*l**3 + 0*l + 11*l**2. What is the first derivative of u(z) wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -64, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*m + 263363, -2*m = 171*k - 172*k + 263327. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - g = -21 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192086 is divided by 64016.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18070 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 512361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -469320*w**6 - 67763*w**2 - 3 wrt w.\nAnswer: -56318400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/8 (b) 980 (c) -5\/3 (d) 4 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 0.054\nAnswer: -0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4\/(u\/(u**2*u)*u)*u\/(u\/(u*u**9\/u*u)*u)*u**(-1\/4)\/u*u)**17 assuming u is positive.\nAnswer: u**(935\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 3*o + 14, 3*s + 0 = -4*o - 4. Let k be (-39)\/(-4) - 1\/s. Suppose -80 = -5*w - k. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from {x: 2, b: 3, o: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 6. Let d be i(3). Suppose -3*v = -5*f + 4*f - 16, 0 = -2*v + f + 11. Find the second derivative of 7*r + 3*r + 3*r**2 - d*r - v*r**2 wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 24*u**2 + 33*u + 19. Let m = 28 + -3. What are the prime factors of w(m)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6139970 divided by -5.\nAnswer: 1227994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 4*r + 7. Suppose -2*m + 4 + 8 = -2*h, -18 = 5*h + m. Let g = -5 - h. Let k = 6 + g. Calculate q(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 9 + 3. Let p(b) = -b - 2. Let h(w) = w + 2. Calculate x*h(s) + 7*p(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1026\/285)\/(9\/(-75))*1\/(-2)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwil when four letters picked without replacement from wwlwliiwciiiiiwwii?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 - -0.8. Let s = k - 1.5. Let n = 41 + -367\/9. What is the nearest to 0.1 in 4, s, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -131 + -24002?\nAnswer: -24133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.049 + -5.049. Let n = -0.3 + 0.4. Let w = -0.3 - -0.2. Which is the second smallest value? (a) f (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 23*h**7\/42 - h**4\/12 + 46*h**3 - 15*h + 1. What is the second derivative of b(y) wrt y?\nAnswer: 460*y**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*s**5 + 272\/5*s**2 + 72\/5 + 348\/5*s - 88*s**4 - 552\/5*s**3 = 0. Calculate s.\nAnswer: -3\/5, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -388.2009502 + 388.2. Round a to 5 decimal places.\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 681 is divided by 47.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p*w**3 + 2*p*w**2 - 12*p + 22*w**3 + w wrt w?\nAnswer: 6*p*w + 4*p + 132*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3388 + -3395.441. Let i = -48 + 47.959. Let t = i - k. What is t rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.2 minus 5337491426?\nAnswer: -5337491439.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151758 + 455294 - 151768 - 151768 - 11*q**3.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -11*d**2 - 168*d - 52. Give x(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5542?\nAnswer: 2, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*q - 2*q - 12*q + 3*q + (1 + 2*q - 1)*(-1 - 2 + 1) to j*q + p and give j.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-20))\/((-36)\/(-36)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -31*f + 28. Let l(n) = -15*n + 14. Let b(g) = -5*l(g) + 2*z(g). Is b(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 4\/9, 0.2, 10464712, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 19*h + 46 = 0. Suppose -l - 4*m + 6 = 0, m = -l + 6*l + 12. Let w be (-4)\/(-2) + l - -3. Solve 0 = w*q + h*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 11:32 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + s**2 - s - 1. Let x(r) = -4*r**3 - 3*r**2 + 2*r - 13. What is -2*v(n) - x(n)?\nAnswer: 2*n**3 + n**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9961921 + 8688\nAnswer: -9953233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-14 + 4644\/(-48))\/((-10)\/240) and 886.\nAnswer: 2658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 404 + -370. Let s = k + -38. Put -115, 0, s in descending order.\nAnswer: 0, s, -115","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 5*l + 4. Let b be i(-3). Let q = -17.949 - -18. Let w = q + -0.041. What is the smallest value in b, 0.1, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (-5)\/(-1)*19\/(285\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -159 + -1282. Let q = -1440.998638 - b. What is q rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 52 (c) 12 (d) 6 (e) -4 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-13)\/650)\/((-26)\/195). Let m(k) be the second derivative of -2*k**2 + 0 - 1\/12*k**4 - h*k**5 + 4\/3*k**3 - 4*k. Factor m(y).\nAnswer: -(y - 1)*(y + 2)*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-49)\/21 - 40\/15. Is 29482 - -1*(0\/z + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*k + (-1 + 3 - 1)*(0 + 0 + k))*(-9 - 2 + 2) to q + o*k and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) -14 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6384 (base 16) to base 2\nAnswer: 110001110000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013361027 to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1648310 + -1242.\nAnswer: -1649552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -182*v**6 + 269*v**2.\nAnswer: -21840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31377461861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-180)\/(-18) - 508\/52)\/((-1)\/(-13)). Let h(q) be the first derivative of -7 + 3\/20*q**4 + 45\/2*q**2 + 3*q**w + 75*q. Factor h(g).\nAnswer: 3*(g + 5)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 20*l - 3*l. Suppose -l = 3*t - 7*t + 5*n, n = 0. Solve -t = 5*k - 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -820*f + 10348. Give c(11).\nAnswer: 1328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + (-2)\/(-6))*-6. Let f be (-62)\/(-4) + (-1)\/a. Calculate the greatest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -547 + 1603. Calculate the common denominator of 51\/77 and ((-4)\/(o\/237))\/(6 + -5).\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/90 and -34\/33220945.\nAnswer: 597977010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6*x - 28. Let w be i(-12). Let c = 48 - w. Solve -z + 1 = -2*b, b - 2 = -c*z - 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**7\/2520 - m**6\/720 - m**4\/4 - 4*m**2. Let w(n) be the second derivative of r(n). Factor w(z).\nAnswer: z*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-20)\/8))\/(120\/(-150)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -462891 by -35607.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005663502 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9689796 divided by 669.\nAnswer: 14484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/350 + (-273)\/(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12113716 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/13 - 2270*b\/13 - 4548\/13.\nAnswer: 2*(b - 1137)*(b + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 - 66 = 5*r + b, -r + 4*b + 9 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5971618.1 - -5971620.59000053. Let c = 2.49 - d. Round c to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 0. Let f = d + -1. Suppose q - 4*q = 2*l - 102, f = 5*q - 2*l - 154. Calculate the remainder when q is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 433*d**2 - 2*d - 1. Let i be m(-1). Suppose -61434 = -5*t - i. What is t rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*g**2 + 3*g + 0 - 1 + g**4 - 1 + 88*g**2 + 3*g**3 as h + v*g**4 + m*g**2 + n*g + w*g**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(-1520)*-24*36\/27.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4147 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -73252?\nAnswer: -7\/73252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from {a: 9, d: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-36)\/(-21) - 1. What is the nearest to 0 in 2\/17, f, 0.2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 j when two letters picked without replacement from jgrgjfggjffgfffgggjf.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x**3 + 14*x**2. Let q(v) = 2*v**3. Let m(f) = -2*f**3 + f**2. Let l(t) = -5*m(t) - 6*q(t). Calculate 14*l(i) + 5*y(i).\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**4 - 155*r**3 - 250*r**2 + 1160*r = 0 for r.\nAnswer: -29, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 31*v - 6*v**2 - 62*v + 25*v + 0*v - 2 - 5*v**3. Let d be (1 + 0 + 1)*-2. List the prime factors of i(d).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -46. Let k(c) = 4*c + o*c - 5*c - 4*c. Let n(z) = -8*z - 15*z + 2*z. Determine k(n(f)).\nAnswer: -42*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*p + 5*n, 9*n + 22 = 2*p + 14*n. Do p and -3\/34 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14955186 and 239.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 18 = 30 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 14. Suppose d - 19 = r. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-7)*s*s)*s**(-2\/3))\/((s\/(s\/s**4)*s)\/s*s*s)**(-18) assuming s is positive.\nAnswer: s**(295\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmymyymmymyyypmpyyyy. Give prob of sequence myp.\nAnswer: 77\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - i + 164*i**2 - 1. Let l(c) be the third derivative of c**5\/30 - 278*c**2. Determine l(j(v)).\nAnswer: 53792*v**4 - 656*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3865229?\nAnswer: 3865229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.06026mg in kilograms?\nAnswer: 0.00007306026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*a*i**2 - 6*a*l**3 - 4*i**2 + l**3 wrt a.\nAnswer: 5*i**2 - 6*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -102*t - 5602. Let q be b(-55). Solve -q*u = -12 + 36 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 11:51 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/297)\/(2\/22).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*r**2 - 104*r**2 + 53*r**2 - 17*r**2 to d*r**2 + g*r + s and give d.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 934\/(-6) - (6 - 17\/3). Let l = q + 379. Let r = l + -126. List the prime factors of r.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28074257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*r = -29, -5*r + 3*r = -j + 14. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3*m**2 + 3*c**3*m + 196*c**3 + 6*c**2*m - c**2 + 21267*c*m**4 + 1134*m**2 - 51 wrt m?\nAnswer: 2*c**3 + 255204*c*m**2 + 2268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/6 + 18\/6 + -8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3)*r)**(-2\/23)\/(r\/(r\/(r*r**(-1)*r)))**(-3\/25)*(r**5\/r**1)**(2\/37) assuming r is positive.\nAnswer: r**(14059\/63825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 2*u**2 + 5*u + 10. Let h be x(-4). Let f = h - -22. Calculate the common denominator of (-186)\/f*(-8)\/(-36) and -97\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/11, 0.069, 0.3, -22871 in decreasing order.\nAnswer: 1, 0.3, 2\/11, 0.069, -22871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1619 divided by 10.\nAnswer: 1619\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*u**2 + 8 + 335*u**2 + 0.\nAnswer: -u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1\/3, -3, 0, 4, 42, -220 in ascending order.\nAnswer: -220, -6, -3, 0, 1\/3, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2684549363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/25? (a) -2\/5 (b) 0 (c) -2 (d) 5 (e) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlvlhvlvhllllhlh. What is prob of sequence llh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.07, 210\/11, -2\/31?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8*z**2 - 76*z + 1159. Calculate y(13).\nAnswer: 1523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 337*c - 342*c + 3*l, 3*c = 3*l - 9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164076?\nAnswer: 2, 3, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33995\/36 - -3789\/4. Let j be (-2)\/208*(-22107)\/(-6). Let s = 424\/13 + j. Calculate the common denominator of b and s.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*g**3 - 6 + 2*g**2 + 2*g - 1 + 0 in the form y*g**3 + r*g**2 + h + d*g and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 61206 divided by -2?\nAnswer: -30603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -9*a + 68. Let f be s(7). Suppose -3*t = -5*v + 103205, f*t + 172002 = 15*v - 13*v. Round t to the nearest 1000.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162)*3)\/sqrt(9) - sqrt(18)) + sqrt(18) + sqrt(18))\/(1*sqrt(726)).\nAnswer: 4*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 16816*z**2 - 8401*z**2 - 8409*z**2 + 16 + 2*z.\nAnswer: 6*z**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.216 <= -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*o - 3*s + 11, 11 = -3*o + 4*s. Let l be (5 - o) + (2 - 12). Let u(x) = x**3 + 8*x**2 - 6*x - 8. Does 15 divide u(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + 46. What is the least common multiple of w and 2?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + k = 4, 5*q = 5*k - 0 - 20. Is q less than -2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/((-204)\/(-120)) - -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1209 to the nearest 10.\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -3*x + 13, 52 = x + 4*y + 44 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 131*g**2 - 12*g - 1. Let y be a(2). Let s = y + -249. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 2:21 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1137163 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -10*c - 26. Let z be p(-3). Suppose 0 = -z*f + 478 + 682. Does 29 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -218*j**2 - 1. Let w(d) = -79*d. Calculate w(g(t)).\nAnswer: 17222*t**2 + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g + 22. Determine v(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-12))\/((-245)\/882)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-104))\/(-1 - 1).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 0*z + z)*(2*z**2 + 2 - 5*z + 4*z - 1) to the form d*z**2 + g*z**3 + c*z + u and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 2305597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/26 and 29\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134.63 + 129.63. Which is the closest to 1\/2? (a) -3\/22 (b) s (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 520*f = 537*f - 10 - 126. What is the remainder when 8502 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 10 = -5*r, 4*r + 4*o = 8*o + 32. Let g(l) = l + 8*l - r*l. Let t(x) = 13*x**2. Determine g(t(z)).\nAnswer: 78*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 5*y - 29 - 54, -i = 5*y - 57 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*r + 151 + 663 = 181*r - 336*r for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20662 - -20662. What is the second biggest value in 0.3, i, -2, -110, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-28)*21\/12)\/(2662\/(-968)). Factor 8\/11*b + 8\/11 + v*b**2.\nAnswer: 2*(b + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 0)*(12*d**3 + 12*d**3 - 7*d**3).\nAnswer: -85*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2062, 2 in increasing order.\nAnswer: 2, 5, 2062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 50*w**4 - 4*w**2 + 91. Let k(b) = -100*b**4 + 9*b**2 - 182. Let r(y) = -9*j(y) - 4*k(y). What is the derivative of r(q) wrt q?\nAnswer: -200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -7*q**3 - 5*q**2 + 6*q - 3. Let u(y) = -6*y**3 - 6*y**2 + 5*y - 3. Let l(h) = 4*a(h) - 5*u(h). What is the smallest common multiple of l(-5) and 116?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/12 and 5895\/240*(-2)\/(-9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*g**4*r + 4*g**3*r + 7*g*r + 2*g - 207*r wrt g?\nAnswer: 456*g**2*r + 24*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 2*t**2 + t**2)*(1 + 10*t**3 - 1 + 0*t**2 + 2*t**3 + 0*t**2 - 2 - 2*t**3 + 2 + (1 + 1 - 1)*(3*t - t**3 - 3*t)).\nAnswer: 18*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 10962 = 142*w + 116*w for w.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -18*w**3 - 5760*w**2 + 938*w + 300158. What is g(-320)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12084 - 10655. Solve -a*k = -1434*k - 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 - -40. Let t be (-2 - (2 - 2))\/(i\/22). Solve 16 = 5*f - 4, 4*f = -3*s + t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 0*o**4 + 0*o**3 - 43\/3*o**6 + 44*o**2 + 0*o**5 - 223 - 2*o. Find the second derivative of u(j) wrt j.\nAnswer: -1720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 25 = -5*i - 0*p, -4*i + p - 21 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1065 + 1082. What is the biggest value in h, -2\/59, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/((-1)\/((-1)\/(124\/(-12)))).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5770.1485772694 + -11.1488689694. Let y = v + -5759. What is y rounded to five dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8771 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: Simplify (p**(-10)*p**4*((p**21*p*p)\/p)\/p**(-1\/5))**31 assuming p is positive.\nAnswer: p**(2511\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -15*p - 60 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -146719 + 46?\nAnswer: -146673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**6\/5 - 2*c**3\/3 - 8*c**2. Find the first derivative of v(g) wrt g.\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -76, -119, -162, -205?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -3. Suppose -r + o*h = -9 - 50, -2*h - 2 = 0. Suppose 5*x - t - 88 = 0, 0 = 4*x - 3*t + 7*t - r. Calculate the remainder when 32 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1483*f = 1440*f - 578522. Which is smaller: f or -13453?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34888349, -34888348, -34888345, -34888340, -34888333?\n\"Answer: p**2 - 2*p - 34888348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -64. Let c be (-14)\/s*((-8)\/11 + 1). What is the closest to 0 in 5, c, -2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*v - 5 = 215*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 4*u + 3*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 764 = -1020*b + 638*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 452 (base 7) to base 10.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 821 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**7\/210 + 3631*t**6\/120 - 149*t**5\/60 - t**4\/2 + 1287*t**2. What is the third derivative of o(w) wrt w?\nAnswer: -24*w + 21786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 1391*r - 1387*r - 31 - 16*r**2 + 31. Let j(d) = 15*d**2 - 3*d. Determine 4*b(t) + 5*j(t).\nAnswer: 11*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -983*l + 2975 = -2923 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -1114341554?\nAnswer: -1114341553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -1.1.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 5:58 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 r when four letters picked without replacement from {r: 12, q: 3}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/8 + (-2)\/8. Let g(i) = -i + 5*i - c*i. Let s(t) be the first derivative of -t**3 - 2. What is g(s(f))?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/12)\/((-6)\/(-45)). Let h = a + 13. Suppose -h*c = -2*c - 8. Solve v = -v - c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 345.9 - 346.25. Round g to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 12100112?\nAnswer: -12100112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356884 is divided by 118767.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6267 - -3?\nAnswer: -6264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**2*y - 67*b**2 + b*y + 3*b + y - 40320 with respect to b.\nAnswer: -6*b*y - 134*b + y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 618*g**2 + 1438*g**2 - 124*g**2.\nAnswer: 1932*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 < 97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 23*j**3 - 782*j**2 - 35*j + 533. What is s(34)?\nAnswer: -657","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - f**2)*(3 - 3 + 2*f**2) - 2*f**4 + 0*f**4 + 0*f**4 + 1 - 14*f**4 - 2 + 10*f**4.\nAnswer: -8*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 732?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6828*l**3 - 6462*l**3 + 12868*l**3.\nAnswer: -422*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5334.\nAnswer: 2, 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 25. Suppose -u + 1 = g. Let x(j) = 5*j - 17*j + 8*j. Let d(c) = -c. Determine g*x(f) + 2*d(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 8 - 6 = t, 5*o - 20 = -5*t. Suppose -4*h = 2*g - 22, h + 0*h + 5 = 3*g. Factor -o + f**3 - g + 4*f**2 - 4*f**3 + 6*f - 5*f**3 + 2*f**5.\nAnswer: 2*(f - 1)**3*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 + 23 = -3*s. Let x = s - 11. Suppose 0 = -x*q + 5*u - 9, 2*q = -u - 3. Put 2, 1, q in increasing order.\nAnswer: q, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from rafaarfururrraaarra?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -61*m - 490. Let y(r) = 29*r + 245. What is 8*n(i) + 17*y(i)?\nAnswer: 5*i + 245","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -44*g + 2. Let v(h) = 1084*h**2. Calculate v(f(o)).\nAnswer: 2098624*o**2 - 190784*o + 4336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 25*r**4 - 440*r**3\/9 + 104*r**2\/3 - 32*r\/3 - 4. Find f, given that s(f) = 0.\nAnswer: 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -34. What is the units digit of (-15)\/(35\/(-20) - m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 6. Let n be o(3). Suppose -n*r + 12 = r. Suppose 90 = -m + r*m. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**6\/180 + 10*v**3\/3 - 9. Let x(h) be the third derivative of p(h). Let y(q) = q**2. What is y(x(w))?\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -49.365 and -34.119.\nAnswer: -83.484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5267.506*-2.\nAnswer: -10535.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -15\/7, 1\/49, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33742582177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + 6\/((-8)\/(7 + -3)). Suppose 0 = -w*j + 40 + 88. Suppose -4*i + 8 + j = 0. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -33867\nAnswer: 67734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/9 + 6940*z\/9 - 27856\/3.\nAnswer: 2*(z - 12)*(z + 3482)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 2*p - 2*p - p - 20*p**2 - 14 + 19*p**2. Determine y(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 689094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s = -20*s + 7*k - 110, 15 = -k + 2*k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5\/4 + x**4 + 3*x**3\/4 - 9*x**2\/2.\nAnswer: -x**2*(x - 3)**2*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 44\/13979005?\nAnswer: 44\/13979005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 8*r - 8*r)*(0*r + 4*r + 2*r) - 2*r**2 + 225561*r**3 + 4*r**2 - 225561*r**3 - 1081*r**4.\nAnswer: -1093*r**4 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -153, -255, -377, -525, -705, -923, -1185?\nAnswer: -1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-15 + -4) - (8 + -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*z - 19*z + 20. Let r be 12*((-60)\/(-16))\/(-5). Which is greater: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 813 or 824?\nAnswer: 813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - 1 + 1)*(-1 + 1 - 2*f) + (2*f**2 - 2 + 2)*(3 + 1 - 6) + (8*f + 25*f + 14*f)*(-2*f + 3 - 3) in the form n*f**2 + d + h*f and give n.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4572*254.\nAnswer: -370.1288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24506 - -2303?\nAnswer: 27011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 152, 358, 650, 1028?\nAnswer: 1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309902 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*v + 2988 + 5227 = 10552 for v.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-14) - (-132)\/(-21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1112881 and -99\/280.\nAnswer: 44515240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 n, and 1 d when three letters picked without replacement from npnltlypppdy?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 24. Let j be (3\/(-6)*v)\/(-1). What is the units digit of j\/((-2)\/(-14)) - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*z**2 + 3*c*z - 695*c + 3840*z**3 + z + 1225 wrt z.\nAnswer: -2*c*z + 3*c + 11520*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 + 87*f**2 + 97*f - 9. Is b(37) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5896 is divided by 37?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 52 - 52 = 24 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 99 in -4, 58, 1\/3?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 446 and 7.\nAnswer: 3122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -29230951 divided by -2?\nAnswer: 29230951\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.0587 and 16825 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 6 + 0 = 3*x, -2*x = -5*b + 55. Suppose -3*u - 15 = 0, -2*v - 3*u = 2*u + b. Let i(y) = y**3 - 9*y**2 + 9*y - 2. Determine i(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaa. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-7315)\/(-10))\/(-7)*-2 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (239\/1912)\/((-30)\/(-32)). What is the biggest value in -2\/9, u, -26?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15728857 to the power of 1\/2, to the nearest integer?\nAnswer: 3966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**3\/3 + 7*j**2\/2 - 21*j - 86. What is w(-11)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 3*d + d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 9:40 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 826?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 4*l**4 + l)*((1 - 6 + 4)*(34 + 14 - 7) - 2 + 0 - 1 + (0 - 2 + 1)*(4 - 2 - 3) + 1 - 4 + 4).\nAnswer: 168*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -78*z**3 - 2*z**2 - z. Let s(n) = -n**3 - 5*n**2 - n - 6. Suppose -4*m + 4*x - 8 = 0, -3*x = 2*m + 3*m + 34. Let a be s(m). Is t(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 9*c + 3*g - 3874787, c - 5*g - 774963 = 0. Suppose -8*j - 535442 = c. What is j rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 80 = 35. Is r <= 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 369587?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) 28 (c) 13 (d) 5 (e) 2\/13 (f) -30\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2510 is divided by 360?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-507)\/91 + 4\/7 - 1 - (-1781)\/299.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.2 (b) 0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -116 or -119?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.27 and 135189812?\nAnswer: 135189811.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12802821 at most as big as 12802817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 19 + 23 - 48 + 5*m + 147*m**2. What are the prime factors of l(2)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 + 19 + 4 + 12 - 9 + 159*y**2 - 124*y**2 to the form d + s*y + l*y**2 + q*y**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7893282457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 6*x**2 + x**2)*(-32 + 27*x + 32).\nAnswer: -81*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 13796161.3 to the nearest 10000.\nAnswer: 13800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**4 - 6*j**3 + 0 + j**4 - 1 + 4*j - 1 as u*j + v*j**4 + k*j**2 + s + a*j**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 4 - 285759*m**2 - 3 + 285888*m**2.\nAnswer: 129*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 91, 185, 283, 391, 515?\n\"Answer: s**3 - 4*s**2 + 99*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (19 - (-67 + 69)) + 30\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1734 - -1777. What is the remainder when 581 is divided by d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313231 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4303442 - 1223?\nAnswer: 4302214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 0.1. Let q = -8.5 - -8. Let o = 2 - 1.6. What is the third smallest value in o, q, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 40 = -12*w. Suppose -a + 15 = -2*t, 4*a - 7*t + 2*t - 57 = 0. Let r = w + a. Let b(n) = -n**2 + 4*n + 1. Calculate b(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -1026. List the prime factors of d.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**6\/120 + 7*p**5\/60 - 5*p**4\/24 - p**3\/3 - p**2. Let t be s(6). Sort -2\/15, t, 0.2 in decreasing order.\nAnswer: t, 0.2, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.053941673 and -106.\nAnswer: -106.053941673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b - 86 = 3*t - 5*t, 3 = 8*t - 5*t for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11899*p**5*q + 147*p**3*q**2 - 627564*p*q**2 - 3*p*q - q**2 wrt p?\nAnswer: -237980*p**3*q + 882*p*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -705, 26, -6, -1 in decreasing order.\nAnswer: 26, -1, -6, -705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -26. Let c = u + 15.000032. Round c to six dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, z: 4, p: 1, a: 6, m: 4}. What is prob of picking 1 v, 1 z, and 1 p?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (45\/25)\/(1\/10). Let k = o - 17. Let m be 1*(0 - k)*0. Which is smaller: 1\/2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -50, -9 in increasing order.\nAnswer: -50, -9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1648 + 8236\/5. What is the closest to -2\/5 in -0.02, w, 2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*t = -67*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87286865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/5 + 5*o**2 + 88*o\/5 + 84\/5.\nAnswer: (o + 2)**2*(o + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - -1*(495948 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451216513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4\/11 + 1808*t**3\/11 + 27474*t**2\/11 + 88136*t\/11 + 7352 = 0. What is t?\nAnswer: -11, -2, 919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(209)\/sqrt(44) - (sqrt(19) + sqrt(95)\/sqrt(5)*-2)).\nAnswer: -4 + 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41600 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: What is the closest to -0.2 in 2\/13, -5\/7, 9588\/659?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5091185 a multiple of 1418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -ab5969 (base 15) to base 13\nAnswer: -19006c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 25, -2, -0.32?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 - y**2 + 4*y**2)*(-7 - 8 + 6).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1199178756?\nAnswer: 2, 3, 411241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 12, l: 2}. Give prob of picking 2 l.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (-15 - (5 + -5)) + -17.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.07 and 149515?\nAnswer: 149514.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2932939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12373 + -0.6207?\nAnswer: -12373.6207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - 7*p + p + (5 - 3 - 3)*(4 - 4 + 2*p) + 2*p + p - 2*p + (-2*p - 3*p + 2*p)*(5 - 5 + 1) + 0 + 0 + p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**6\/60 + 4*u**5\/15 + u**4\/12 - 5*u**3 - 258*u**2. What is t(8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 4:52 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1406 divided by 90493\nAnswer: -1406\/90493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 371*w**6\/30 + 1047*w**2\/2 - 412*w - 2. Find the first derivative of u(p) wrt p.\nAnswer: 1484*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1028771, -1028772, -1028773, -1028774?\nAnswer: -1028775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.034322 to four decimal places.\nAnswer: -0.0343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -8581*p - 43. Calculate w(0).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10*113\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 z, and 1 q when four letters picked without replacement from ttzzztqztttztcct?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2113130235 + -23?\nAnswer: 2113130212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86 - -389. Let c = h - 211. What is the greatest common divisor of c and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-2) + (-70)\/(-5). Suppose 15*f - 1160 = r*f. List the prime factors of f.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -997339\/11 bigger than -90666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 119635?\nAnswer: 239270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2013 (base 6) to base 9.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ssstssttssttss?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1\/z**2)\/(z*z*z\/z**(1\/13)*z*z\/(z\/z**(-4\/3))*z) assuming z is positive.\nAnswer: z**(-179\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1130, -1120, -1110?\nAnswer: -1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.214388ml?\nAnswer: 0.008214388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**4 - 1 - 2*t**3 + 0*t - 2*t**2 + 6\/5*t**5. Factor u(n).\nAnswer: 2*n*(n - 1)*(n + 1)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 10:59 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyyyfyfyfffy. Give prob of sequence fyy.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 105236 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwzvr. What is prob of sequence wzv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 854932016*j + 90998445 with respect to j.\nAnswer: 854932016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/633060 and -91\/42204?\nAnswer: 633060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acb when three letters picked without replacement from {b: 2, r: 1, c: 8, a: 5, y: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 45*p**2 + 84*p - 40. Determine j(43).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1517 = -199*d - 68*d + 352 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 9*h + 6. Let z be r(-8). Determine m so that m**2 + z + 16*m + 0 + m**2 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t + 93. Let y(k) = k - 93. Determine -3*n(l) - 4*y(l).\nAnswer: 2*l + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 3451?\nAnswer: 3448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/((-10)\/(-4)) - 1. Let d be 4 - 38\/9 - (-74)\/9. Find the first derivative of -d*z + 14*z + j - 3 - z wrt z.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 377 + 1 = 0. Calculate the greatest common divisor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -177063, -179822, -184421, -190860, -199139?\n\"Answer: -920*d**2 + d - 176144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10972 - 10895. Calculate the remainder when 268 is divided by t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from {j: 1, u: 1, q: 1, n: 2, y: 2, v: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/(36\/32))\/2. Suppose 5*n - h - 25 = 0, -k*n + 2*h = -2*n - 18. Suppose 3*x + n*w - 2129 + 724 = 0, 2*w - 2 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 503.05 weeks?\nAnswer: 304244640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/12569 - 527908\/62845. Is -39 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -191, -384, -577, -770, -963?\n\"Answer: -193*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*y - 4. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -4) + (4 - 2 - 29) - -10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 271 - 141. Suppose 4*a = -94 + g. Suppose a = -7*k + 30. Solve -z - k*z = 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*(75475\/(-50) + -3 + -2).\nAnswer: 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8515554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - -2*2*sqrt(133))\/(2*sqrt(7)*-5))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9635, -34008, -74635, -131522, -204675?\nAnswer: -294100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dejepdppdjpedep. What is prob of picking 1 e and 2 p?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*u - 0*f + 47, 0 = -4*f - 4. Let s(b) = 10*b**2 + 101*b + 18. Calculate the remainder when s(-11) is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1279*n + 3510*n = -9332*n + 857204 - 59357 for n.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**5 + 9 - 9 + 2*x**5 + 6*x**4 - 6*x**4 + (-5*x + 3*x + 4*x)*(-x**4 + 4*x**4 - x**4) + (-1 + 1 + x)*(0 + x**4 + 0).\nAnswer: 8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.97 (b) -1\/6 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2046 + 2021. Put 1, -8, p in descending order.\nAnswer: 1, -8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378777?\nAnswer: 3, 7, 17, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/8 and (228\/(-44) + 5)*(-1 - 0).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*f**3 + 100*f**2 + 190*f**3 - 420*f**2 + 211*f**2 + 109*f**2.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z**2 + 16191*z + 1090386. Give f(-66).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, d: 2, x: 4, f: 3}. What is prob of picking 2 x?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 54. Let z be 18 - ((6 - 4) + 2). Let g = z + -14. Is p(g) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/10*(-16)\/(-1). Let s(o) = 29*o**2 + 2 - 30*o**2 + 3*o + 8*o. Is 13 a factor of s(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1010*m**2 - 419*m - 512*m**2 - 496*m**2)*(-1 + 2*m + 1 + (2*m + 0*m - m)*(0 + 4 - 1)).\nAnswer: 10*m**3 - 2095*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311512808?\nAnswer: 2, 193, 201757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s. Let j(d) = -2237369*d. Determine j(v(l)).\nAnswer: 6712107*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 0.2. Let o be -42 - -43 - (3 + 0). Which is the nearest to 0.1? (a) o (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n - 9. Let l be w(3). Which is the fourth biggest value? (a) 0 (b) -0.3 (c) l (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*y - 719867 = 156*y - 2701727. List the prime factors of y.\nAnswer: 3, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, 2, -3, -87?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(22)\/(-3*sqrt(1584)).\nAnswer: -sqrt(2)\/36 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 36151, 35842, 35533, 35224, 34915?\n\"Answer: -309*q + 36460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435650?\nAnswer: 2, 5, 8713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -231 - -231.027. Let r = -460 - -460.607. Let d = r - w. Round d to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -9*k**3 - k**2 + 2*k + 5. What is l(2)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -50 (b) -0.5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*k + 56, -2*k - q = -779 + 759. Determine u, given that 288\/7*u - 6912\/7 - 3\/7*u**k = 0.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -862046*f + 177920 wrt f?\nAnswer: -862046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) - sqrt(48)*3)\/sqrt(4))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -273979 and 10.\nAnswer: -2739790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380961 is divided by 636.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 4*l**2 - l - 4. Let d be g(2). Suppose 2*v + 3*q - 32 = -3*v, d*v - 3*q = -4. Sort 2, v, 1, 0.\nAnswer: 0, 1, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -14755.\nAnswer: -2\/14755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.116, 5\/2, 6\/373, 5, -3, -0.4, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3155 (base 6) to base 9.\nAnswer: -878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -180614 + 181007.6848. Let t = -404.68480048 + a. Let p = -11 - t. What is p rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -26*h**3 + 6*h**2 - 15*h + 7. Give p(1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 3*n + 4. Let y(w) = -6*w**2 + 7*w**2 - 3*w**2 + 4*w - 5. Determine -2*y(d) - 3*z(d).\nAnswer: -2*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/1920 and 211\/46046880?\nAnswer: 184187520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16 (b) 5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 19118.4987 hours?\nAnswer: 113.8005875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 15954.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 8866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 + 18 = -8*y. Let f be (8\/10)\/((-1)\/5). Let m = f + y. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j - 2533*j**2 + 0*j**4 + 2532*j**2 - 13*j**4 in the form w*j**3 + c + p*j**2 + m*j + f*j**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 z, and 1 k when three letters picked without replacement from {e: 9, r: 3, z: 2, k: 3, i: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {q: 2, l: 9, f: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36226757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 29*v**2 + 6*v - 161. What is r(29)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 12 - 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*l**4 - 14215*l**3 - 18*l**2 - 76241257*l?\nAnswer: 108*l**2 - 85290*l - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddgd when four letters picked without replacement from {g: 1, d: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4)*(-56)\/(-14) + 6. Suppose -i*w + 13*w - 18 = 0. Let f(y) = -2*y - 6*y + 37*y**2 - 16*y**w - 22*y**2 + 8. Give f(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1136497029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 7*a + 1\/12*a**4 - 3\/2*a**2 + 1\/3*a**3 - 10. Let n(f) be the first derivative of v(f). Let n(l) = 0. Calculate l.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(306)\/sqrt(6) - sqrt(1836)*6)\/(sqrt(3) + 2*sqrt(147) + sqrt(3) - sqrt(3) - 6*sqrt(75)))**2.\nAnswer: 2057\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*y + 2158*y**3 + 26*y - 46*y.\nAnswer: 2158*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + k = -2876, g + k + 4*k - 948 = 0. Is (13 + -3)\/(-20)*(0 - g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/5 - -22*1. Suppose 8*a = -a + q. Suppose w = -p + a, 0*p - 3*p - 5*w = 0. Solve -2*k - 3*k + p = -2*j, 5*j = -2*k - 27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, u: 2, s: 2, r: 3}. What is prob of sequence iuiu?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20837 - -20837.000011683. What is h rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 861*b - 428*b = 417*b - 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 9*q**2 - 2*q - 441. Let m(s) = -5*s. Determine m(j(f)).\nAnswer: -45*f**2 + 10*f + 2205","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.9921399 rounded to zero dps?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 7*z**2 - 9*z - 9. What is the units digit of t(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3957700 is divided by 142?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2) - (-832)\/(-128)) + 7. Solve -2*x + 3*s + 16 = 0, s = -5*x + 5 + a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 24*j**3 + 9*j**2 - 22*j + 3. What is the units digit of x(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = -14*u + 35 - 11 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104784 by -118.\nAnswer: -888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -296 + 524. Is 19 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g. Let m(i) = i - 2. Let o be m(4). Suppose o*s = -0*s - 6. Is k(s) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 849938 and 6278.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 17*l**2 + 34*l - 40. What is b(16)?\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/30063 and 23\/150315.\nAnswer: 150315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 + -4.6. Which is the second smallest value? (a) -2 (b) w (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**4*i**(-2\/3)*i assuming i is positive.\nAnswer: i**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 10, 5*t + 5*b + 96 = 61 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4616 - 60006\/13. Let 0*u - c*u**4 - 2\/13*u**3 + 2\/13*u**2 + 2\/13*u**5 + 0 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 259c7 + 7?\nAnswer: 259ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 692450 divided by 5?\nAnswer: 138490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2666219, 5332442, 7998665?\n\"Answer: 2666223*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*z**2 + 0*z - 1683\/2*z**4 + 840*z**3 + 3\/2*z**5 = 0. What is z?\nAnswer: 0, 1, 560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90 - 197 + 2*u**2 - 249 - 636 - u - 166 to s + t*u**2 + d*u and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*u + 43*u - 19616929 + 19616797.\nAnswer: -2*u - 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9, -2, -2\/9, -1\/8 in increasing order.\nAnswer: -2, -2\/9, -1\/8, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 11 - 10*v + 2*v**2 + 0*v**2. Let u be y(9). Suppose -o + 1 - 2 = 0, -r + 2*o + u = 0. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 6*h**2 + 7*h. Let r be x(7). Suppose r = 6*w - 8 - 4. Suppose 5*s = i - 1514 - 1291, -3*i + 8449 = w*s. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 + 73. What is the lowest common multiple of 30 and g?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 4*l + 18, q + 0*q + 4*l + 19 = 0. Let a be (-2 + 3)\/(q\/(-3)). Let v(c) = c - 1. Let j be v(a). Sort -5, -3, j in ascending order.\nAnswer: -5, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 519206987 to the nearest integer?\nAnswer: 22786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 505\/(-404)*(-8)\/14?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 348413 times -315?\nAnswer: -109750095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 202707151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (33 - (-54 - -42))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*m**3 + 8 - 8*m + 47*m - 8 + 5*m**2 - 32*m.\nAnswer: 124*m**3 + 5*m**2 + 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 35 = 5*y - 111, 2*y = 3*k + 46 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82*s + 6*s - 6*s)*(-2 - 4 + 5) - 6*s + 2*s + 2*s + (3*s + s - 3*s)*(0 - 2 + 4) + 1 - 1 + 2*s - 12*s + 55 - 55.\nAnswer: 72*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 2106?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**3 - 4*o**2 - o - 4. Let n(p) = -2*p**3 + 3*p**2 + 3. Give 4*n(v) + 3*q(v).\nAnswer: v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (11597 + -2 - -16) + 17?\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1066230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 63*z - 189 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 51*o**3 - 21*o. Let v(m) = 5*m**3 - 2*m. Let q be ((-8)\/(-6))\/((-16)\/(-24)). Suppose -1 - 3 = -q*g. Determine g*k(x) - 21*v(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6 = -2*z, 8 = -z - 0*z - 4*p. Suppose z = -2*m + 5*m. Suppose m*l - 2*l = -6. Is 3\/2 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**2 - 8*z - 3. Let k(o) = -8*o**2 - 16*o - 7. Let s(r) = 3*r - 7. Let p be s(-7). Let d = p + 35. Let y(g) = d*l(g) - 3*k(g). Solve y(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -187 + 1312\/7. Suppose -3 = 2*r - 1. Let a be r + -1 - 6\/(-4). What is the closest to a in 3\/5, k, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72 divided by 4\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -x + 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 5*t**2 + 4 - 19 + 19 + 15*t**2 + (-3 + 3 + t)*(-2 + 2 - t))*(-t + 3*t - 5*t - 2) as f + q*t**3 + l*t + k*t**2 and give q.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - j + 8. Let z be h(-6). Suppose -5*d + 0*i = -5*i + z, -5*d + 3*i = 44. What is the common denominator of -11\/2 and -6*8\/(-36)*d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 23*t**2 - 62*t - 36. Let v(c) = 2*c**2 - 4*c - 2. Let a(d) = -2*i(d) + 22*v(d). Give a(18).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/30473 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 70 + 190*o - 19.\nAnswer: 190*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5576, 44649, 150706, 357239, 697740, 1205701, 1914614, 2857971?\nAnswer: 4069264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 47*r**2 - 2*r + 44. Let y(o) = -32*o**2 + o - 45. Give 2*v(d) + 3*y(d).\nAnswer: -2*d**2 - d - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31500 and 240?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 67 and -8.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922122 is divided by 131711.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w - 9 + 0*w**2 + 11 + 2*w**2 - w**2. Is 2 a factor of v(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0.1, -2\/7, 2\/13, 4, -6.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -14. Suppose 2*f = -3*f + 310. Let d = f + -19. What is the remainder when d is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 34*d**3 - d**2 + 42*d - 7. Let o(a) = 11*a**3 + 12*a - 2. What is -4*f(s) + 14*o(s)?\nAnswer: 18*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*j**4*t**2 - j**4 - 8*j**2*t - 1030*j*t**2 - 2*t**2 wrt j?\nAnswer: 660*j**2*t**2 - 12*j**2 - 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 10*(-3)\/(-6). Let f = -1 + 6. Suppose 12*g = 11*g + f. Solve 0 = 2*i - g + h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, -2\/9, 5\/8 in increasing order.\nAnswer: -2\/9, 5\/8, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -35, -22, 27, 124, 281?\nAnswer: 510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - m + (-5 - 8 + 8)*(2*m + 8*m - 6*m))*(0*m**3 - 9*m**3 - m**3) + (-5 + 5 + m)*(0*m**3 + m**3 + m**3) - 2*m**2 + 2*m**2 - m**4.\nAnswer: 211*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 2064 and 2064 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-7 - (-9)\/(6 - 3)). Suppose -k = -3 - u. Solve -d - k = 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 18 + 6. Let y = k - -32. What is the greatest common divisor of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.04, 90, 3, 0.7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12683.\nAnswer: 11, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 plus -0.06?\nAnswer: 158.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 273443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-629 + 292 - 372 - 694)*(4*u**3 + 3*u**3 - 14*u**3).\nAnswer: 9821*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448*t = -1430 - 182 - 4212 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3340 + -3318. Let a(g) = 11*g**2 + 2*g + 7. Calculate the lowest common multiple of a(5) and s.\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 315, 1234, 2779, 4962, 7795, 11290, 15459, 20314?\n\"Answer: 2*j**3 + 301*j**2 + 2*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/17 + 10\/187. What is the nearest to -0.06 in -1\/3, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009384 rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**8\/840 - n**7\/525 + n**6\/150 + n**5\/75 - n**4\/60 - n**3\/15 + 19*n**2. Factor o(k).\nAnswer: -2*(k - 1)**2*(k + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3438 - 137 = -25*n. Let d = n + 15. What is the remainder when d is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -11. Let f = -16 - o. Let d = -4.9 - f. Is -1 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 379 + -375. What is the second biggest value in -1\/7, -4\/5, r, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 631 + -630.9999017. What is r rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1703*o + 172 - 172.\nAnswer: 1703*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*v + n, 5*n = 4*v - 2*v - 19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -32\/3*a**3 + 0 + 0*a - 1\/15*a**5 - 5\/3*a**4 - 13*a**2. Solve j(w) = 0 for w.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/2)\/(1\/18). Let m(w) = 22*w - 1350. Let i be m(61). Let s be (5 + 56\/(-16))*i\/u. Which is the biggest value? (a) -2\/5 (b) -0.2 (c) s (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-24))\/((-15)\/(-24))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 272\/280 - (-5 - (-160)\/25)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2. Let g(a) = 3769*a**2 - 11*a + 1. What is g(q(v))?\nAnswer: 3769*v**4 + 11*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6+75.6387\nAnswer: 69.6387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1\/47))**16)**0)**(1\/40) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1155 + -1159. Sort -1, 4, r, 20 in descending order.\nAnswer: 20, 4, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by ((-60)\/(-10))\/(2\/26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56606095 divided by -11321219\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115 - 93. Suppose k*t = 17*t + 1010. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7424 and 51388?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5471 + 5508. Calculate the highest common factor of p and 4218.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 2*r - 3. Suppose -3 = 3*u - 15. Let g be (-5)\/(-3)*(2 + 1). Suppose -5*p - 15 = g*x, -u*p + x + 10 = -3. Determine a(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2 + 7 = 0. Let f be (-10)\/25 - m\/(-5)*12. Solve 5*o = -2*y + 9, -f*y + o = -0*o + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6)**(-4\/23) assuming k is positive.\nAnswer: k**(-24\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/5*(-2)\/(-4). Let h(a) = a**3 - 11*a**2 + 29*a + 21. Let n be h(6). Let r be (5\/n - -3)*g. Solve 2*l + 2*p - r = 0, 11 = 4*l + p - 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9}. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)\/(sqrt(10)*-2))\/(sqrt(10)\/sqrt(5)*2) - (sqrt(44) + sqrt(396) + 1 - ((sqrt(99) - 2*sqrt(99))*2 + sqrt(99))\/sqrt(9)))**2.\nAnswer: 37*sqrt(11)\/2 + 15075\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7*7\/(-49)*-11399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1875 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/9*-3 - -4. Let q be -17*(l - 2 - 1). Let j be 2 - -63 - 81\/(-18)*12\/18. Calculate the highest common divisor of j and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (3 + -7)) + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 84482\/26 - (-568)\/(-1846). What is the highest common factor of l and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 6*v - 2. Let k be l(-5). Let t = -206 + 211. Solve t*g = -2*w + 10 + 12, 17 = 5*g - k*w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*z - 1945. Let r = 1152 + z. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hg when two letters picked without replacement from ggghwhhhh?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3 + 87362*r**2 + 3666558*r + 38489598 = 0 for r.\nAnswer: -43639, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1723551 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + -1*(-7)\/6. Suppose 12 = 4*h, 0 = 2*a - 6*a + 4*h - 16. Are g and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 13*a - 6. Calculate k(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 11*n**2 - 4*n - 24. Determine o(10).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-25254)\/(-161) - 18\/21. Let p be (-8)\/24 - 236\/(-6). Calculate the highest common divisor of q and p.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 176 - 336. Let n = 27913.2 - 27738. Let b = n + z. What is b rounded to zero decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 17 + 29*q)*(q + 2*q - q).\nAnswer: 58*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, h: 5, b: 4}. What is prob of picking 1 h and 2 n?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/12 and 125\/1836.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2953 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 5*v - 3*v + (-1 - 1 + 1)*(2*v + 3*v - 4*v) + (-1 - 3*v + 1)*(-7 - 12 + 4) + (3 + 0 - 4)*(1 - 1 - 2*v))*(-5*v**3 + 2*v**3 + 0*v**3).\nAnswer: -135*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**3 - 74860*f**2 + 17059100*f - 977856500 = 0. Calculate f.\nAnswer: 115, 18485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.81 - 4.73. Let j = g + 7.4837. Let l = j + 0.047. Round l to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/67320 and 121\/1331712.\nAnswer: 73244160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + (-4 - -2 - 1). Suppose 0 = -o*l - 0*l + 6. What is the derivative of -2 - 2 + 3*a**3 + 0*a**l wrt a?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 9*i**2 + 10*i - 4. Calculate the remainder when b(-6) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1 - 3) + -5 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 272 and 580503595.\nAnswer: 580503867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14040.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 28. Suppose 19 = -3*p + 5*b, 0*b = 5*p + b + 41. Let g = -8 - p. What is the tens digit of u(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 + 1.2. Let h = 944\/11 + -86. Let p = -0.1 + 1.1. What is the nearest to p in m, h, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14232 (base 6) to base 4\nAnswer: -203030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 541606?\nAnswer: 541610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 2*h**3 - 3*h**2\/2 - 2*h - 19. Calculate b(4).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.02, 13.27, -2 in decreasing order.\nAnswer: 13.27, 0.5, 0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1608432314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 1. Give p(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17212726793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 1 = -2*x, 0*x = 5*x + 2*i - 17. Suppose 2*g - 30 - 18 = 0. Let c = -25 + g. Sort c, -3, x in decreasing order.\nAnswer: x, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 4 = -2*b - 14, 3*b + 7 = -5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -34. Let t = 1 + 1. Suppose 9 = t*c - c. What is the remainder when d is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibbiyyyybyyy. What is prob of picking 3 y and 1 b?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 d, and 1 g when four letters picked without replacement from {o: 2, p: 1, g: 3, y: 1, d: 3, q: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3060, 1839, 612, -621?\nAnswer: -1860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 13 = 18 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64198 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9069 or -9066?\nAnswer: -9069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - i. Let q be (-21)\/2*8\/6. Let h(d) = -d - 2. Let k be h(-2). Let y(s) = 2*s**2 + s + s + k*s**2. Give q*r(x) - 6*y(x).\nAnswer: 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27387 and -28700?\nAnswer: 786006900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89761217, 89761218, 89761219, 89761220?\nAnswer: 89761221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -138507, -138237, -137493, -136035, -133623, -130017, -124977, -118263?\n\"Answer: 40*r**3 - 3*r**2 - r - 138543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 803 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: Let f(x) = 53*x + 978. Give f(-18).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -t - 24 - 34, -2*h = -t - 121. Suppose -h + 15 = -3*i. Solve 0 = -m + i - 15 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58664759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -1)\/((-2)\/(-54)). Suppose 0*m + 2*m - 30 = 0. Let o = x + m. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.20910864*-1.\nAnswer: -0.20910864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 19*w - 13. Suppose 3*p = 5*k + 32 + 26, 0 = -4*p - 4*k + 56. Let n be i(p). Suppose 12 = -m + n. Solve m - 7 = 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l. Let r(u) = -u**3 + 9*u**2 - 2*u - 64. Let o be r(4). Let b(t) = 4*t. Give o*a(q) + 5*b(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11903, -5, 0, -1, 3 in increasing order.\nAnswer: -11903, -5, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 3:42 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwjqwwwwqj. What is prob of sequence wj?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.1978 - -0.0922. Let v = 2.79 - x. Let t = 8 + -11. Sort v, -4\/9, -1, t.\nAnswer: t, v, -1, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - u + 55, 5*v + u - 104 = -15. Calculate the remainder when 319\/11 + (1 - -1) is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(36\/6)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6 + 0*v + v + v. Let g(z) = -z + 1. Let h be g(-4). What is the units digit of j(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 17 + 292. What is the remainder when d is divided by 94?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x**2 + 224*x - 1090. Let w be d(26). Factor 8*l - 2\/7*l**w - 56.\nAnswer: -2*(l - 14)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 144173241*z**3 - 5*z**2 + 8922318*z wrt z?\nAnswer: 865039446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.83 + -2.29. Let c = -0.12 - d. Let u = c - 4.8. What is u rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/28*196\/112 - (0 + -1). Let q = -1\/2 + 0. What is the closest to k in q, -0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 638339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**2\/9 + 2*y + 16\/9 = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 358*p - 171822. Let i be r(480). Find g such that -1\/2*g**4 - 11\/2 + 7*g**3 + 17*g - i*g**2 = 0.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, g: 1, h: 2, l: 2}. What is prob of sequence gb?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/35)\/(3\/7).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*t, -t = -10*u + 9*u + 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-4\/3))**(-46)*o**(-12)*o\/(o\/(o\/o**(-7))) assuming o is positive.\nAnswer: o**(-472\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m + 0*m + m)*(m + 4*m - 3*m) to the form y + r*m**2 + t*m and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2. Let f(b) = 11*b + 5. Let d(a) = 4 - 4*a - 3*a + 2*a - 6. Let c(o) = -10*d(o) - 4*f(o). Give c(n(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 27*x**2 - 486*x + 838. Determine l(16).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/4))\/z**(-13)*z*z**18*z*z*z**11\/z assuming z is positive.\nAnswer: z**(179\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -268, -301, -346, -409, -496, -613, -766?\n\"Answer: -q**3 - 26*q - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iitiiiiitiiitii. What is prob of sequence itt?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -26 (b) 2\/15 (c) -427\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/6*1*10\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (5 + 2) - (-2 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b + 566 = -4*n, -2*n = -2*b + 562. Let d = b + -180. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39.0007 + 39. Round i to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.43966 nanograms in tonnes?\nAnswer: 0.00000000000008343966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5545 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5 + -1*sqrt(5) - (-1 + sqrt(320)))**2.\nAnswer: 72*sqrt(5) + 424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -84, 4361, -4, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237 - 57 - 122 = 52*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 3. Let m(k) be the first derivative of -k**2 + 4*k + 8. Determine -3*m(g) + 4*u(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgxnxrgxnazggn. What is prob of picking 1 x and 3 n?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 3*y**2 + 5*y + 1. Let l be v(-4). Let n(q) = -q**2 - 6*q - 3. Let s be n(l). Let x(o) = -o**2 + 4*o - 1. Give x(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -7.03, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 5*i + 84. Let l be (i\/(-6))\/(2\/100). Calculate the greatest common divisor of 25 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -382\nAnswer: 1910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in -4, 0.2, 9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*r = -5, 10 = z + 3*z + 2*r. Suppose -z*y + 2*a - 5*a = -6, 0 = y - a - 6. Suppose -y*o - 74 = -290. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10185)\/(-970)*(-8)\/294.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7 + 1 - 6*w + 1. Let d(q) = 13*q - 19. Let t(g) = 4*d(g) + 9*u(g). Let p be t(7). Which is greater: p or -10?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(-2 + 6 - 1)*(-52292*l**2 - 53*l**4 + 52292*l**2).\nAnswer: 159*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1971317 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a*h**2 - 1856613*a*h - 5895776*a wrt h?\nAnswer: -4*a*h - 1856613*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 24. Let g be z(-19). Let h(s) be the first derivative of 0*s**3 + 0*s**4 + 0*s**2 + 2\/5*s**g + 2 + 2*s. What is the derivative of h(l) wrt l?\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2764 times 0.99\nAnswer: 2736.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-1) - -3)\/(16\/(-4 - 4)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((0\/2)\/(-4))\/2. Suppose q = -4*z + z + 135. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -38. Let z(i) = -13*i - 5. Let u be z(-1). Suppose -r + u*r = 105. Is r greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t + 11*t + 23*t + 28*t as u + v*t and give v.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7*p. Let z(k) = -k + 7. Let v(l) = 8*l + 23. Let b(h) = v(h) - 2*z(h). What is r(b(i))?\nAnswer: 70*i + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 7573989538.8?\nAnswer: -7573989535.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 5. Suppose 7*x + 6 = 69. Suppose x*d + 332 - 431 = 0. Solve 0 = 4*t - 3*k - d, -t + k = -v*t + 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 514739?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-8) + (-4)\/(-16). What is the nearest to -1 in s, 5, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 8) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 + -65.5. Let d = 7 - 11. Which is the third biggest value? (a) 4 (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110110 + 100100?\nAnswer: -100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -1\/2 (c) 2\/143 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105 + 110. Solve -4*w = -11 - a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**2*z**2 + 14*i**2*z - 13*i*z + 25*i + 2*z**2 - 87272 wrt i?\nAnswer: -2*i*z**2 + 28*i*z - 13*z + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1935*b**3 + 5627*b**3 + 25796*b**3.\nAnswer: 29488*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9125987 and 2114?\nAnswer: 127763818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t**3 - 5*t + 6. Let q(y) = 14*y**3 - 14*y + 17. Let p(k) = 17*d(k) - 6*q(k). Calculate p(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*k + 199*k = 101*k + 1128 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002838625 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 14906?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29154.260899 - -2822?\nAnswer: 31976.260899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 5:43 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 22 = 2*p. Let d(v) = 2*v + 6 + 9 + 16 - 47. Let w be d(p). Solve 2*b = -3*o + 5 + 17, w*o - 3*b = -7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/12 and (426\/180 - 2) + 1?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5*s - 130, 114 = 4*s + 2*q - 0*q. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -4, 10, -5.\nAnswer: -5, -4, -3, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*b = -19*b + 36*b + 228 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.1, 0.5, 1.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24\/7? (a) 1\/8 (b) 0 (c) 2 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 736*y - 42693. Give z(58).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -169*h**2 - 10*h + 18. Let g be r(2). Let w = g - -675. Let u = -6 - -10. Put -7, u, w in increasing order.\nAnswer: -7, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-13)\/(-39) - (-314)\/3 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 33321?\nAnswer: 33331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 + 2*t + 4 - 11.\nAnswer: 2*t + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -0.1, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -2)*5\/(80\/64). Let j = 7\/2 + -57\/14. Is j bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**8\/560 - s**6\/60 + 4*s**3\/3 - 5. Let b(v) be the third derivative of f(v). Find the third derivative of b(a) wrt a.\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19068*f**3 + f**2 - 2*f + 7188.\nAnswer: 114408*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 11561617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 431, 427, 423, 419?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/42 and 143\/70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 120341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**4\/12 - 16*o**3\/3 + 696*o**2. Let q(f) = -5*f - 95. Calculate -8*i(y) + 3*q(y).\nAnswer: y - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18822 - c**2 - 3*c + 36626 - 17804 + 3*c.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 6 - -14 - 4) + -6. Sort -3.61, 5, n in decreasing order.\nAnswer: 5, n, -3.61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 422029 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 - -73. Suppose 0*s = s - z, -120 = -2*g - 4*s. Calculate the remainder when g is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*c - 64*c + 6 - 27*c**2 - 6 as d + g*c**2 + n*c and give g.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -230302332203?\nAnswer: 230302332212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-560)\/(-1120))\/((-81)\/(-6) + 2\/(-1)).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 12*w**2 + 8*w - 3. Let o be a(-12). Let j be -8*(10\/(-36) + 22\/o). Solve 4*x - 2*g - 6 = -j*g, -1 = -2*x - 3*g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 5*p**2 - 151*p + 762. Calculate a(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a milligram in micrograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 579 divide 70128480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 5*p + 417 - 278, 15*j + 1078 = -2*p for j.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 100. Let k = c + -22. Let u be 26\/5 + (-3)\/k. Let v(n) = n**3 - 5*n**2 + n - 4. Determine v(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - -4 - (-6 - -2). Let l(b) = 11*b - 2. Let p(t) be the third derivative of 5*t**4\/12 - t**3\/3 + 11*t**2. Determine i*l(h) - 6*p(h).\nAnswer: -5*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2, 0, -8\/3, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 421.903 + -0.903. Let r = 421.2 - m. What is r rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3 + 552381*l**2 - 76282020855*l + 228841091163 = 0.\nAnswer: 3, 276189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 16*v**2 - 13*v - 21. Suppose 0 = 3*n - 5*g - 26, g = -7*n + 3*n + 73. What is the tens digit of h(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31064 is divided by 739?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-4)*c*c*c*c)\/(c**(-2)\/c))\/(c**10\/c*c**(-2\/7)) assuming c is positive.\nAnswer: c**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -5\/54402421?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-408)\/96)\/17*14\/2*-12?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 36.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 71\/4 + (-6)\/(-24). Suppose c - 8*c = -2625. Let n be c\/20 - 2\/(-8). Which is greater: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 7*i - 6. Let j be n(8). Suppose -y - j*y = -15. Solve y*l - 4 = 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-130)\/90*3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 15449*j - 3862.\nAnswer: -(j + 3862)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 23 + -69 + 46 - ((-1)\/2 - 105\/(-154)). Let p = -0.7 - -0.2. Which is the nearest to 2? (a) 2\/15 (b) m (c) -3 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-13)\/z*z)\/z)**(-50)*(z\/(z*z*z\/(z*(z\/z**(23\/2))\/z*z)*z*z*z))\/(z*z\/(z**(-7\/2)\/z)*z*z) assuming z is positive.\nAnswer: z**677","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 49.29684kg?\nAnswer: 49296840000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2705 or 2707?\nAnswer: 2705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 0*x - 60 + 55)*(-5 + x + 5).\nAnswer: 4*x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1271 + 1805. Suppose -3*w = -5*g - 479 - 49, -3*g = -3*w + k. What are the prime factors of w?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - s**3 - 2 + 5*s - 4196*s**2 + 4192*s**2. Give z(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1621\nAnswer: -1617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2784240 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -23, 3\/2, 0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15723*w + 2 - 1 + 7786*w.\nAnswer: 23509*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*j + 16 = 0, j + 4 = y - 2. Suppose 4*g + y = 20, 2*g + 146 = 2*h. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 8190.\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 16*p = 7020. Is p a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1015213018 to the nearest integer?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - o + 68*o**2 + o + 69*o**2 - 135*o**2 - 2*o**3 in the form w*o**3 + a + u*o**2 + j*o and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/3))**(-7\/9)\/((c*((c\/((c*c**(-1\/8))\/c))\/c)\/c*c)\/c**5) assuming c is positive.\nAnswer: c**(893\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x**3\/x*x)*x*x**3)**(-2\/47)*(x*x*(x\/(x**(1\/2)\/x))\/x*x*x**(-1)\/x)\/(x*x**(-1)\/x)**11 assuming x is positive.\nAnswer: x**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(832) - sqrt(832)) + sqrt(832) - (5 + sqrt(117)\/sqrt(9))) + 3)**2.\nAnswer: 100*sqrt(13) + 8129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-88)\/(-1188))\/((-32)\/(-432)))\/(3*6\/9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 545759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -0.1387774?\nAnswer: -0.1387774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4 + b + 4 - 4*b. Let m be z(8). Let d(p) = -13*p - 5. Is d(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 1. Let s = 55 + -53. Calculate d(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - ((-3)\/(-1) - 3). Solve -8 = 4*t - 2*j, -t - u*t - 17 = j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -16*f**3 + 16*f**2 - 1176. Let b(j) = -5*j**3 + 5*j**2 - 392. Determine 10*b(t) - 3*z(t).\nAnswer: -2*t**3 + 2*t**2 - 392","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -36.3. Let x = b + 0.7. Let k = 1 + -1. What is the smallest value in -1\/5, x, k?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 13*j**2 + 103*j + 5. Calculate t(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 4*t - 7. What is b(9)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2901, -5800, -8699, -11598?\nAnswer: -14497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -608406, -608390, -608374, -608358?\n\"Answer: 16*y - 608422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 7:06 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1897, -1, 16, 0, 2.\nAnswer: -1897, -1, 0, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 1 + -3 + 5 + 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + (-1 - (14 - 13))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3 - 7 + 4 - 2*r. Let z(d) be the first derivative of 2*d**3\/3 + 1. What is z(w(t))?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 20*x + 2. Let m be q(20). Suppose 295 = 3*h - m*h. Suppose h = 7*l + 57. Calculate the greatest common divisor of l and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1914 - 4*n**3 + 9*n**3 - 1914 - n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r - 4*r - 2*r + (-6179*r - 25209621 + 25209621)*(-4 - 2 + 5).\nAnswer: 6177*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11334 + -124677\/11. What is the third smallest value in g, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 o when three letters picked without replacement from {q: 2, n: 7, o: 2}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -86 in -0.2, -37, 0.2?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 320263672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4541 and 266?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -23. Let f(y) = 3*y - 3. Let d be f(3). What is the units digit of d\/(-4)*q\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 41*t + 24. Let j(c) = c**2 - 46*c - 24. Let s(k) = -6*j(k) - 7*y(k). What is s(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1452))\/(sqrt(216)*2) + sqrt(288) + -2 + sqrt(288) + 2 + -5)**2.\nAnswer: -1385*sqrt(2)\/6 + 78529\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**6)\/u*u*u**(-3\/8))\/(u**(-2\/11)*(u**(-2\/7)\/u)\/u))**(21\/5) assuming u is positive.\nAnswer: u**(16803\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 11 = -4*s + 40, 3*a = -3*s + 18. Calculate the remainder when 18 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155896750.\nAnswer: 2, 5, 29, 21503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 - 15*p**3 + 18*p**2 + 96*p - 96.\nAnswer: -3*(p - 2)*(p - 1)*(p + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4960025779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85286202 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -6903747870 to the nearest one million.\nAnswer: -6904000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 362068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) 60 (c) -0.06 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*w)*(-4*w + 4*w - 2*w + (2*w + 2*w - 3*w)*(0 + 2 - 5)).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34237 by -7.\nAnswer: -4891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4872 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4146058568?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000255858317 rounded to 7 dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 4*n + 2, -2*y = -3*n + 6*n - 24. Does 39 divide 269\/y*(-2 + 8) + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, -1.19, -2\/23, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 25866261.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1308 and 8039404.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007356964 rounded to six decimal places?\nAnswer: 0.000736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2700 and 16721820?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -3 (b) -4\/3 (c) 5 (d) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((-1 + sqrt(1008))*6 + 0 + sqrt(1008) + -1)*3)**2.\nAnswer: -11592*sqrt(7) + 445057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1535918133 to the nearest integer?\nAnswer: 39191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 8713001244.\nAnswer: 8713001244.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00052 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 8*w + 9. Give d(11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1473 is divided by 1286?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 661 divide 825725166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 181.6192 to one decimal place.\nAnswer: 181.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -295 by 59.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1616\/7*o**2 - 44\/7*o**4 + o**5 - 156\/7*o**3 - 448*o + 768\/7.\nAnswer: (o - 4)**3*(o + 6)*(7*o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(288))*2)\/(sqrt(6) - (sqrt(384) - (sqrt(384) - (-2*sqrt(384) - sqrt(384)) - sqrt(384) - sqrt(384)) - sqrt(384))).\nAnswer: 10*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d + 332 = 332 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15, 1, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 158613.51 months?\nAnswer: 13217.7925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 308?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 2*f - 14. Let o = -55 - -49. Let i be n(o). Suppose 0 = 4*c - i + 26. Sort c, -4, 2, -2.\nAnswer: -4, -2, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -300*p**2. Let g(t) be the third derivative of -t**4\/24 + 82*t**2 - 2. Calculate w(g(u)).\nAnswer: -300*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-46864)\/(-909))\/(-116))\/(44*(5\/54)\/(-5)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 8:54 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -802 (b) -1\/16 (c) -4 (d) -0.1 (e) -0.5 (f) 1\/14 (g) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -86, -189, -296, -407?\n\"Answer: -2*j**2 - 97*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 1800981?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + s + 94 = 4*b, 5*s = 2*b - 56. Suppose -2*m + 4*c - 14 = -c, -5*c = m - b. Suppose 2*r - 82 = -m*n, 5*r = -0*n - 4*n + 191. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {z: 2, d: 7, x: 1, h: 5, u: 1, g: 1}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 9. Let b = -5 + a. Let n be (-3 + -1)*10\/(-8). Solve d - 13 = -n*f, f - 1 = d + b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 5008*d**2 - 2179355*d - 227691450.\nAnswer: (d - 5418)*(d + 205)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 874?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-5\/9))**36*(h**(-3\/2)\/h)**(-42) assuming h is positive.\nAnswer: h**121","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c - 33 + 69 = 0. Which is smaller: c or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, r: 2, g: 7, o: 3}. What is prob of picking 2 e?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18882 or -3?\nAnswer: -18882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 395080846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 3*x - 8*x + 808, 5*x + 522 = -2*s. Let f = s - -500. What is the highest common divisor of f and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 11*w**2 - 30*w - 157. Let i be v(-11). Suppose -4*l + 185 - i = 0. Solve 4\/9*b**l - 4\/3 - 14\/9*b + 2\/9*b**2 = 0.\nAnswer: -3\/2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 2463598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 633 + -20?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136299296?\nAnswer: 2, 7, 163, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 199352*z + 4967652488.\nAnswer: 2*(z - 49838)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*c + 16, -2*w + 8 = -4*c - 12. Let t be 3\/(1 - 10\/4). Put w, 4, t in descending order.\nAnswer: 4, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuct when four letters picked without replacement from ucuttcuuutucuuxuuuc?\nAnswer: 11\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2\/7 + 97477088*z\/7 = 0. Calculate z.\nAnswer: 0, 48738544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.41 + -0.11. Which is the smallest value? (a) -1 (b) -6 (c) 2\/11 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5\/9 + 9638*n**4 - 941951902*n**3\/9 + 3445607058*n**2 - 24629678808*n + 50084859840 = 0. Calculate n.\nAnswer: 4, 5, 24, 21669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - d - 31. Calculate i(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 6, -2053 in increasing order.\nAnswer: -2053, -4, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-5))\/(105\/(-25))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 1 - (4 - -191). Let q be 1*6\/m*10. Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 86, -4, -266, -700, -1306, -2084?\n\"Answer: -86*r**2 + 168*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, w: 4}. What is prob of picking 2 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/41? (a) 0.5 (b) -0.3 (c) -0.2 (d) -3\/2 (e) -5733\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16568.\nAnswer: 2, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95608884 divided by 267812.\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 10*g**2 + g + 13. Let u(n) = -51*n**2 - 5*n - 66. Let t(p) = 11*j(p) + 2*u(p). Let r be t(-5). What are the prime factors of (3*r\/(-3))\/(-2)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**4\/12 - n**3\/3 + 9*n**2 - 46*n. Let o be m(5). Which is the third biggest value? (a) o (b) -1\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t + 19. Let f(k) = k - 16. Let n(q) = 7*f(q) + 6*p(q). Let s(d) = -2*d. Give s(n(y)).\nAnswer: 10*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**5\/4 + 707*s**4\/4 + 4899*s**3\/4 - 707*s**2\/4 - 1225*s = 0. What is s?\nAnswer: -700, -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011000111001101001000100 + -11?\nAnswer: -1000011000111001101001000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11493 (base 12) to base 8.\nAnswer: -55157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11163.64157 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5467 and 5467?\nAnswer: 5467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 0, 0.269?\nAnswer: 0.269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9408 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-5) + 84\/(-35)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 12*c - 11. Suppose 24 = 13*y - 10*y. Let z be o(y). What are the prime factors of 3\/(z\/6 + -3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -35, -4, 53, 142, 269, 440?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 5. Let k = 28 - -7. Suppose -a - 2*f + 7 = -0*f, 5*a - 2*f - k = 0. Calculate the remainder when r is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1995796 divided by -4.\nAnswer: 498949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*w**2 + 8*w**2 + 5*w - 5*w.\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256521970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 18*y**2 + 4*y + 23. Let k be m(18). Let t be k\/6 - 13\/(-78). Suppose 0 = c - 2*l - 17, -l - t = 3*l. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817363592 a multiple of 744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(3) + 5 + sqrt(5) + -3*sqrt(5) + -4 + 2.\nAnswer: -sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -55*g - 7. Let s be m(1). Let l be (s\/5)\/(((-40)\/(-125))\/8). What is l rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 37*n**2 - 42*n - 91. Let r be q(-38). What are the prime factors of (0 - -171) + -62 + r?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -64, 476, 1016, 1556?\n\"Answer: 540*i - 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 321149*v**4 + 86766*v?\nAnswer: 3853788*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (22 + 18 + 13)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1008)\/210 - 217\/35\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-34512244)\/14 + ((-4)\/14)\/(-1). Let s = -951776 - f. Let a = s + -3793384. Round a to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6392)\/(-102))\/47)\/(4\/63).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6739 + 154?\nAnswer: -65a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 7*d**2 + 3*d + 8. Let o = 20 - 17. Suppose i + 20 = -o*j, -3*i - 5 = 2*j + 6. Determine m(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 923 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1155*c**2 + 16214*c - 10. Calculate o(-14).\nAnswer: -626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -49309796900 rounded to the nearest one million?\nAnswer: -49310000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.12 + 3.12. Let j = c + -2.996. Let i = j - 0.003777. Round i to 5 decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -151, -245, -351, -469, -599?\nAnswer: -741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-2 - 236\/(-112)). Does 34 divide 4832\/14 + (1 - 32\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-8)*(-176)\/66. What is the closest to 1 in q, -16, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278210 is divided by 92734.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3078\/3135 + (-16)\/88 - (-477)\/(-15)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 14*n - 87. Let g be w(6). Find the common denominator of g + (-285)\/(-20) + 7 and -89\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**6\/40 + c**4\/8 + c**3\/3 - 11*c**2 - 8*c - 1. Calculate z(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/2040 and 87\/1280?\nAnswer: 65280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -13*d - 19. Let h be r(-4). Let k = h + 42. Suppose 0 = 72*y - k*y + 72. What is the remainder when 63 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 + 44?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16425, 30739, 42939, 53025?\nAnswer: 60997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 8:41 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 - 1043 - 1229 = 267*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 3*a = -2*q + 81, 0 = 3*q + 2*a + 60. What is the units digit of (q\/21)\/(2\/(-84))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 + -41. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 20 = -0*u. Let n(w) be the second derivative of -w**5\/20 + w**4\/4 + 2*w**3\/3 - 3*w**2 + w. What is n(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2760187 (b) -0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, i: 1, l: 4, q: 6, j: 1}. Give prob of picking 1 q and 1 w.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*o - 68*o - 2*o**3 + 31*o - 13*o**3.\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.287 + 1.07. What is c rounded to 2 decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 91.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6.8, 26\/9, 3, 87, -3, 5, -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 1554 = -6*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -245456 (base 8) to base 12.\nAnswer: -41092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/2 and -73\/470.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94563921 is divided by 315?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16872431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -75\/8? (a) -488 (b) 0.8 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.21 - 6. Let z = -0.4 - -0.49. Let w = m + z. What is the nearest to 0 in 1\/3, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*b**3\/4 - 10875*b**2\/4 + 4536*b - 1815 = 0. What is b?\nAnswer: -1210, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 6951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18653971181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9992.049ng?\nAnswer: 0.000000000009992049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82717 to the power of 1\/2, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -31721 times 3?\nAnswer: -95163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 156116 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: Rearrange (6*o - 2*o - 2*o)*(-7 - 7 - 15 - 33)*(-77*o + 28*o + 32*o) to the form k + n*o + y*o**2 and give y.\nAnswer: 2108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-6\/17))\/g*g)\/(g*g**16))**3 assuming g is positive.\nAnswer: g**(-834\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.174, -0.01, 28 in ascending order.\nAnswer: -0.174, -0.01, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283, 559, 825, 1075, 1303, 1503, 1669?\nAnswer: 1795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -23*j. Let w(f) = 11*f**2 - 3. Let u(m) = -4*m**2 + 1. Let q(s) = -3*u(s) - w(s). What is z(q(x))?\nAnswer: -23*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 3:06 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 5:10 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**3 + 10*y**2 + 898*y + 3617. Give c(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -3490?\nAnswer: -3490.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1220\/2928)\/((-10)\/(-608))*3\/4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1a05135 (base 13) to base 10\nAnswer: 8550937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4427?\nAnswer: 19, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-5))\/((-6)\/(-20)). Let l(f) = -f - 9. Let i(k) = -8 + 1 + 6. Let j(g) = 5*i(g) - l(g). Determine j(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 34*d**2 + 71*d + 43. Let q be b(36). Let p(a) = a**2 - 2*a + 7. Give p(q).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*h + 2*h. Let o = 5 - -8. Let r = o + -12. Is r less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*-2*15\/6. Suppose a - 5*z + 13 = 0, g*a - z - 7 = -0*z. Solve 4 = b + 4*b - 4*t, 2*b - 16 = -a*t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 889876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6*k = 2. Let b = -49\/5 - -10. Which is greater: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94686 and 258.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 473 + -478. Which is the fourth smallest value? (a) 3 (b) r (c) -0.0036 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(13 - 1) - (-12)\/36?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 2*k**3\/3 + 5*k**2\/2 + k + 3. What is the tens digit of j(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/(429\/(-44)))\/(4\/((-48)\/(-15)))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27017?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, p: 3, r: 3, a: 2, y: 1, k: 3}. Give prob of picking 1 k and 1 p.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-32))\/(5\/5)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 - -55. Let c = f + -24. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**3\/3 + 2*n**2 - 4*n - 9. Let c(h) = 6*h**2 + 27*h - 27. Let o(j) = -4*c(j) + 27*y(j). Let w(l) = 3*l**2. What is w(o(x))?\nAnswer: 27*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 1:37 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14108 + -14075. Suppose -8 - 2 = 3*c - 5*s, -5*c + 20 = -s. Suppose -52 + 7 = -c*a. What is the remainder when j is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1306905*w**5 - w**2 + 311173 wrt w.\nAnswer: -78414300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 1\/4*n**4 + 0*n**2 + 2*n + 2\/5*n**3 + 45 + 3\/100*n**5. Determine d, given that u(d) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6144644263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -17437?\nAnswer: -17434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 7:53 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/4 and 107\/8250288?\nAnswer: 8250288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*r**2 - 3 - 5 - 1331*r**2 - 141*r + 5 + 345*r**2 wrt r.\nAnswer: -2102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33280 divided by -2560.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 137, 134, 131?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -5*x**7\/42 + x**6\/60 + 1869*x**5\/20 + 2918*x**2. Find the third derivative of c(m) wrt m.\nAnswer: -600*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 2*b. Let t be b\/(-3)*15\/10. Let p(n) be the third derivative of n**5\/20 + n**4\/12 - n**3\/6 - 5*n**2. Give p(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100000110110000001010011 + 1100?\nAnswer: -1010100000110110000001000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -85*w + 180. Let g(x) = 6. Let i(h) = -30*g(h) + n(h). Let a(f) = f**2. What is a(i(r))?\nAnswer: 7225*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 448.9 + -469. Let r = i + 20.78. Put 1\/2, r, -1 in decreasing order.\nAnswer: r, 1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.446 or -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 3*t + 2. Let y(o) be the second derivative of o**4\/12 - o**3\/3 - o**2 - 4*o. Let u(z) = -2*a(z) - 3*y(z). What is u(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 5 + 13. Let w(g) = -8*g - 20. Calculate the lowest common multiple of d and w(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.3 + 0.3. Let s = -2 + 1.7. Let i = s + 1.3. Which is the third biggest value? (a) 4 (b) y (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3908*a*r**3*x + 1015*a*r**2*x + 9*a*r*x + r**2 wrt r.\nAnswer: 23448*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 157*p**5 - 32*p**4 + 3*p**3 + 706118*p?\nAnswer: 3140*p**3 - 384*p**2 + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 3*z**2 - 2*z - 2. Let j(a) = -a**3 - 5*a**2 - 2*a - 6. Let i be j(-5). Let m be (-1 + 0)*(i + -2). Give t(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 - 131375*f + 65680*f + 65695*f.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**12*x**(-4\/5)*x*(x*x*x**(-11\/4)\/x)\/((x*x**13\/x)\/x))**(2\/9) assuming x is positive.\nAnswer: x**(-31\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - l - 3)*(0 - 1 - 1) + (-3 - 3 + 4)*(-2*l + 0*l + 0*l) + 345 - 698 + 117*l + 353 in the form c + w*l and give w.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/26, -6\/5, 2 in descending order.\nAnswer: 2, -1\/26, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + s. Suppose s = 3*p + p + 8. What is the units digit of 8 - 2\/4*p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 964 (base 12) to base 9\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 - 1 - 2*v - v + 1 + 4*v**3 in the form i + f*v**2 + k*v + s*v**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(-2 - 111*m**2 - 20*m**3 + 3*m - 15*m**2 + 140*m**2).\nAnswer: -20*m**3 + 14*m**2 + 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttvvtqnnqttnqnnnny. What is prob of picking 1 y, 1 n, and 2 q?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 79488 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least as big as 139\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6*z = -9. Suppose -z*t = -12*t + 48. Let v = 131 - 68. What is the remainder when v is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -427*d**2 + 427*d**2 - d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 57089892.8 to the nearest one thousand.\nAnswer: 57090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -21*i**3 - 3*i**2 - 4*i - 2. Let f be h(-1). Solve 4*q = -6*q + f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 7 - (-15 - -11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.657861 rounded to two decimal places?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + (0 + -1 - (16 + -12) - (107 - 109)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1085377 or 1085382?\nAnswer: 1085382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w + 55. Let j be (-168)\/(-9) - (-11)\/((-33)\/2). Is g(j) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3807 - 446*b**3 + 439*b**3 + 14076.\nAnswer: -7*b**3 + 10269","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -46, -210, 2, 75?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*h + 1 = -17, f - h = 6. Suppose -6*u + 15 = -f*u, 4*u + 215 = z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 2*b - 2*b - 152, h - 3*b - 32 = 0. List the prime factors of h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005657479 to 5 dps.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + z = -462, -3 + 9 = -3*z. Let x be n\/(-180) - (-1)\/9. Factor -1\/2*l + x - 1\/4*l**2.\nAnswer: -(l - 1)*(l + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3327, -3, 18 in increasing order.\nAnswer: -3327, -3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 2*j + 3553 - 3523, 3*i + 2 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**4 - 3 + 3*x**4 - 26*x**3 + 25*x**3 to the form n*x + z*x**4 + q*x**2 + f + t*x**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95455*o**3 - 91972*o**3 + 9*o + 13*o - 22*o.\nAnswer: -187427*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2152 + -2158. Let w = -8 - -18. Let c = w + h. What is the nearest to -0.4 in -5, 1\/4, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -13154 + 13793. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*u = -112*u - 25. Let z(l) = -u + 116*l + 242*l + 7 - 2. Let f(d) = -2*d**2. Give z(f(o)).\nAnswer: -716*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 11*z - 43. Give j(0).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 253*w - 11*w**2 - 2 + 10*w**2.\nAnswer: -w**2 - 253*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6769 is divided by 171?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 10. Let y be (-60)\/90 - 11\/(-3). Suppose p = -3*p - d - 37, -9 = -y*d. Determine k(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -2. Let z(q) = -16*q**5 + 5*q**3 - 3*q. Let c(v) = -8*v**5 + 2*v**3 - v. Let p(g) = b*c(g) + 2*z(g). What is the second derivative of p(j) wrt j?\nAnswer: 160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7 + 5*y + 5 - y**2 - 3. Let n be g(7). Let o(j) = j**3 + 4*j**2 - 7*j + 2. What are the prime factors of o(n)?\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 11701837?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14664\/188*(4\/10)\/(4\/(-5))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32168324?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 664 + 6*r - 131 - 131 - 134 - 132 - 136 - 12*r**3.\nAnswer: -12*r**3 + 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -95*a - 45. Let s be i(6). Suppose 72 = 5*o + 12. Calculate the remainder when s\/(-18) - (-2)\/(-12) is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 11:36 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14261371\/4 or -3565343?\nAnswer: -14261371\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -16*m**2 + 2. Let q be k(-1). Let i = -66 - q. Is 12 a factor of i\/65*220\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -16*p**2 + 15*p - 2. Let c(j) = -49*j**2 + 45*j - 7. Let k(q) = -2*c(q) + 7*m(q). What is the second derivative of k(w) wrt w?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.8797 - 0.8797. Which is smaller: f or 107.09?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1568, -1573, -1586, -1607, -1636, -1673, -1718?\nAnswer: -1771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 6. Let o = 248 + -499\/2. What is the closest to 1\/2 in -3, o, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -15. Which is bigger: y or -7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77)\/(-11) - 2340\/15*2\/8?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-3) + 8)\/1. Let h = 11 - b. What is the units digit of (0 + -6)\/((-4)\/h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**2 + 6*v - 6. Let x(m) = 6*m**2 - 13*m + 13. Let z(s) = -13*n(s) - 6*x(s). Let u(a) = -25*a + 5*a + a + 18*a. Give u(z(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 - 10698*f + 106782. Calculate g(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 197560\/551?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - v + 2)*(1 - 2*v**3 - 1) + 4612*v**4 - 13312*v**4 - 3964*v**4 - 4455*v**4 - 11351*v**4.\nAnswer: -28468*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 93956 and -1.\nAnswer: -93956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -132*((-8)\/6)\/4. Let p = -35 + j. Suppose -14*z = -p*z. Solve z = -4*w + u - 4*u - 1, 0 = w - 4*u + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (784 - 784 + 35*y)*((-1 + 0 + 2)*(-1 - 3 + 2) - 2 - 1 + 2 - 3 + 0 + 1 + 1 + 1 - 4).\nAnswer: -245*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -376*c + 1215. Give k(3).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 11*j**2 + 8*j - 24. Give b(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 3*b + 2. Let d be j(-2). Let x be 2*d\/(8\/(-3)). Let m be ((-2)\/5)\/(x\/5). Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.7 and 6.64329.\nAnswer: 31.223463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2824 is divided by 697?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -52.33 * 20\nAnswer: -1046.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -976 + 976 + r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 23 + 3 + (6 - 4) + -11\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24144210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -5*z + 6, 0 = -4*z - 2*r - 96 + 92 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0\/2 + 0\/(-120)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 11:49 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (57\/1)\/((22\/1452*11)\/(3\/(-54)))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4175640.5 times 5?\nAnswer: 20878202.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u - 133 + 53 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*w + 201*w + 209*w - 32384 = -257*w for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*d - 0*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + 82)*(-7)\/(-112).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13306 a factor of 4125365628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g + 7. Let n(k) = 13*k**2 - 506*k - 48. Let j be n(39). Calculate b(j).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13962?\nAnswer: 2, 3, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 4*u**2 + 6*u - 2. Let m(q) = -3*q**3 - 8*q**2 + 12*q - 3. Let l(d) = -5*h(d) + 2*m(d). Suppose 7256*v = 7279*v - 69. Calculate l(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 418191, 418208, 418225, 418242, 418259?\nAnswer: 418276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138757?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 159 and 24755187?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 + -3 + 0 + (-55 - -54))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x - 4. Suppose 5 + 3 = -h + o, -5*o = -2*h - 22. Suppose 4*u + 12 + 4 = -2*v, 2*v + 4 = -u. Let g be 0 - (v - -1) - h. Calculate i(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -219156 divided by -54789.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5)\/s)**(4\/5)*(s**(-2\/7))**(2\/183) assuming s is positive.\nAnswer: s**(-15472\/32025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 - 2250*a**3 - 255365*a**2 - 504000*a - 250880.\nAnswer: -5*(a + 1)**2*(a + 224)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 272 and 986.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and -887.2?\nAnswer: 10646.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 2*s - 44 = 0, -7985798*a - 3*s - 99 = -7985786*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 383102 to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133602778.\nAnswer: 2, 66801389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444724045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxd when three letters picked without replacement from {d: 7, x: 5}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -2*g - 8, -13 = 2*g + 26*r - 23*r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -189\/5*b + 186\/5 + 3\/5*b**2 = 0.\nAnswer: 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -2. Let p = 4\/85 - 302\/2805. Is d at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h**3 - 17491*h**2\/3 - 1706894*h\/3 + 54240 = 0 for h.\nAnswer: -720, -113, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 5*x - 3. Let q be z(-6). Let v = 18.64 - 18.94. What is the third smallest value in q, v, 1, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*n - 227 = 280. Let d(b) = 41*b + 24*b - 14*b + 22. Is d(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -631 (b) -2\/9 (c) 1\/3 (d) -2\/5 (e) -157\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 267*w**5 + 560*w**2 wrt w.\nAnswer: 16020*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 1. Let q(f) = -f**2 - 10*f + 6. What is the smallest common multiple of -32*(k\/2 + -1) and q(-10)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16701912 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -2\/7, 2, -1\/30, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 49*r + 18. Let l be m(21). Let w = -304 + l. What are the prime factors of w?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 574.2063 grams in milligrams?\nAnswer: 574206.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*b - 26 = 2*b, 2 = -2*b. Suppose 5*p - 31 = -1. What is the lowest common multiple of p and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -5. Suppose -j = 4*t - 13. Let u be (t - (-6)\/(-3)) + 1. Solve -z + u = 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -82 - (17 + (38 - 22))?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 434 = -305. Find the third derivative of -4*y**3 + 110 - 110 + 15*y**4 + b*y**2 + 60*y**2 wrt y.\nAnswer: 360*y - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w. Let n(q) = -2*q**2 + 4*q + 9770013. Give n(i(b)).\nAnswer: -2*b**2 + 4*b + 9770013","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 5, 3*f - 75 = -0*f - 3*z. Suppose -27*j + f*j = 291. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 6. Let r(w) be the first derivative of w**2\/2 - 5*w - 8. Determine 7*r(i) - 6*x(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1073 - 983 = 0. Suppose -31*n + 7 = -h*n. Solve -3*s + n = 4*b, b - 6 = -2*s - b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**6\/120 + x**5\/12 - x**4\/3 - x**3 - x**2\/2 + x. Let y(g) be the first derivative of n(g). Is y(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(6\/108)\/((-1)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {l: 1, h: 1, y: 2, g: 5, i: 8}.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11967617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (68 - (83 + 47))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 2*l - 1339932 = -1339922, 6*l + 6 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 3*d**2\/2 - d - 12. Let x be k(1). Solve 0 = 3*s + x*t - 12, -5*t + 21 - 6 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(3\/(-4)))\/((-9)\/(-21)*948\/2133).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*i - 8*i**2 + 10*i**2 - 3*i**2 as u*i**2 + d + g*i and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -3. Let a be (j\/(6\/4))\/(-2). Put 0.2, 3, a in ascending order.\nAnswer: a, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8145 and 24.\nAnswer: 65160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42355 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 556153920 to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1808264147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**6*m + 6*f**3*m**3 - 791*f**3 + 188*f**2 + 2*f*m**3 + m - 6 wrt f?\nAnswer: 240*f**3*m + 36*m**3 - 4746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 13, t: 6}. Give prob of sequence fttt.\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10, -13, -18, -25, -34?\n\"Answer: -h**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -35*v. Let z be m(-1). Let r = -19 + z. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-2)\/44)\/((-1)\/(-2))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Let x(u) = -2*u**4 + 4*u**4 - 3 + 1. Let q(l) = -6*l**4 + l + 7. Let a(m) = z*q(m) + 7*x(m). What is the second derivative of a(d) wrt d?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/4*8\/(-20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x**2 + 60*x + 81. What is the units digit of b(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/7 - 24884\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) 0.01 (c) -3 (d) 0.9 (e) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/20*4\/(-6)*-6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -x - 1547, 3*w - 2445 + 127 = x. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - y + 3. Let o be l(-3). Let f = -13 + o. Suppose t - f = -0. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - r = 10, 2*r - 9 = -5. Differentiate 935*o**4 - 14 - 908*o**q + 0 wrt o.\nAnswer: 108*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a decade in months?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -17 + 59. Is ((-537)\/s)\/((-3)\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q - q)*(2*q**2 - 2*q**3 - 2*q**2) - 5*q**4 + 11*q**3 + 2*q**3 - 3*q**3.\nAnswer: -3*q**4 + 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 50856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -876.4 + 804. Let c = n - -72.400638. What is c rounded to 5 dps?\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -29509, -29548, -29613, -29704?\n\"Answer: -13*l**2 - 29496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.7679871 weeks?\nAnswer: 129.0218328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d + 20. Let c be m(-4). What is the highest common divisor of c and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 18*f**2 + 2*f - 26. Give u(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 - 1.7. Which is smaller: t or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47056.5 weeks to microseconds.\nAnswer: 28459771200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -560.85 + 541. Let u = d + 19.82787. Let o = -0.02 - u. Round o to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c + c + 6*c - 3*c. Let m be d(-1). Let x = 7 + m. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 7*f**2 + 6*f - 3. Suppose -6*u = -16 - 386. Calculate the remainder when u is divided by p(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1856543?\nAnswer: 13, 142811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 7*w - 10*w + 37*w - 3*w.\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -774, -1732, -3070, -4788?\nAnswer: -6886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/64 and -19\/48?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, e: 1, n: 6}. What is prob of picking 3 z and 1 e?\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 34148, 34153, 34170, 34205, 34264, 34353?\n\"Answer: w**3 - 2*w + 34149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millennium in years?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 36 = -3*r - r, 3*u = -3*r + 24. Let i be 12\/1 + 13\/26*-8. Solve 3 = -3*m + 2*y - 5, -r*y = -4*m - i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7475 and 9.\nAnswer: 67275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -1, -6, -3, 1 in increasing order.\nAnswer: -51, -6, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from ffkppk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -8*q + 3. Let m be y(-6). Let r = -26 + m. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22967 divided by -119\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1621\/2172 + 2\/543. What is the closest to a in 1\/2, 4, 8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-12))\/1 - (351\/52 - 6).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504832 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b + 3. Calculate the smallest common multiple of (748\/77 - 10)*-7 and m(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 6 = -2*v, 2*v + 2*v = -3*q + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110010110111110101 (base 2) in base 11?\nAnswer: 132610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -15419.472 to the nearest one hundred.\nAnswer: -15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4530363*0.34\nAnswer: -1540323.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.9 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11680, 11793, 11988, 12307, 12792, 13485?\nAnswer: 14428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-6)\/(-18)*(-1)\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*-1*((7 - 3) + 980\/(-210))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (30\/8)\/(-3) - -2. Let j = 1 - 0.9. Let z = 0.1 - j. Sort z, 2, i.\nAnswer: z, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3726*o**2 + 5119*o**2 - 8844*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2573078.\nAnswer: 2, 41, 31379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 23324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*z - 3286 + 33*z - 67*z.\nAnswer: -4*z - 3286","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.9 + -2.1. Let l = 7.718 + 0.182. Let o = l + f. Which is bigger: o or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 173\/4 - 43. Which is the closest to -0.1? (a) -1 (b) -0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + -29. Let f(a) = a**3 - 10 - 8 + 6*a**2 - 19*a**2 + 6*a + 8*a. Let r be f(b). Solve r = 4*z + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -342. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.023699 from -8.\nAnswer: -7.976301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -312*m**3 - 2*m**2 - m - 1. List the prime factors of g(-1).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112645 is divided by 1760?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -90, 5, -1, -2\/9, -1\/791, 1 in ascending order.\nAnswer: -90, -1, -2\/9, -1\/791, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 707462, 1, -2, 3.\nAnswer: -2, 1, 3, 31, 707462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -210 - -228. Let t be (-1)\/2*(m - 14). Sort t, -5, -8, -3.\nAnswer: -8, -5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 75*k**2 - 66*k - 85. Let o be f(74). Calculate the greatest common divisor of 39 and o.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -74, 3\/5, 2, -0.03, 3\/8 in descending order.\nAnswer: 2, 3\/5, 3\/8, -0.03, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 263 = -8*a. Suppose 153*o = 150*o + a. What is the smallest common multiple of 9 and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, m: 7, y: 1}. What is prob of sequence wwm?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 3*a**2 - 2*a**2)*(-3*a + 4*a + a) + (1 + 21 + 1)*(2*a**3 + 2*a - 2*a) + (3 - 3 + 2*a)*(-3*a**2 + a**2 + a**2).\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -9. Let d be 21\/t - (-2)\/(-4). Suppose 2*n - d*g - 353 = -51, -5*n + 721 = g. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = u + 3*m, 0 = 2*u + u + 2*m - 27. What is the second derivative of -8*n**4 + 25*n + 5*n**4 + u*n**4 + 17*n**4 wrt n?\nAnswer: 252*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from akaakaakak. What is prob of sequence kaka?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*u + 4*k + 19 = -303*u, 2*u + 14 = -3*k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -139374616802\/6105 - -22829585. Let n = -2\/407 + g. Is n less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 1:10 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4050) - sqrt(4050)*2)\/(5*sqrt(40)\/sqrt(4)).\nAnswer: -9*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 24283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3522 and 438.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7 + 19 - 7*i - 9 - 2 + i**2. Let z(j) = -4*j**2 + 21*j - 4. Let k be -1 - (0 - (0 + -1)). Let r(n) = k*z(n) - 7*a(n). Give r(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**2\/m*m))\/m**(-4\/7))\/(m**(1\/5)\/(m**(-29)*m)) assuming m is positive.\nAnswer: m**(-967\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/6318 and 7\/105264?\nAnswer: 36947664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 5*g**4\/24 + 4*g**2 - 7*g. Let x(q) = -18*q. Let u(v) = -15*i(v) - 4*x(v). Determine u(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -131184, -131230, -131312, -131430, -131584?\n\"Answer: -18*s**2 + 8*s - 131174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 134, -0.1, 0.2 in decreasing order.\nAnswer: 134, 0.2, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/27 and -40\/243?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 495 and 340230?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0*x. Solve x = 4*q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*s - 52883 = 4*s - 14723. What is the highest common divisor of s and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 39*x + 694. Calculate v(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 441610 divided by 10270\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.504? (a) 2\/49 (b) -1\/2 (c) -0.2 (d) 10 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13600\/9 + -1514. What is the common denominator of t and -99\/46?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-2392)\/48)\/(-23) - 2\/12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9.6 times -0.008745\nAnswer: -0.083952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 + 0 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (96 + 115 - 232 + 2*w)*(10*w - 4*w + 6*w + (0 - 4 + 3)*(-3 + w + 3)) as n*w + f*w**2 + o and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 + 19*m - 31. Determine j(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 16 = -5*z, -z - g + 10 = 3*z. Suppose h - z = -0. Let w = h + -5. Which is smaller: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1817916, -3635851, -5453774, -7271679, -9089560?\nAnswer: -10907411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53844170 to the power of 1\/3, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3 + 0 + ((sqrt(539) - (sqrt(539) + 1))*3 - sqrt(539)) + (sqrt(539) + 2 + sqrt(539) + 2*sqrt(539) - (sqrt(539) + 0)*1) + 0)**2.\nAnswer: -28*sqrt(11) + 2157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 - -82. Calculate the remainder when m is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 200\/1584979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.03993 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4, 28, 9.8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-2 + 1 + 1. Suppose -4*w + 3*d - 2*d + 10 = 0, p = 4*w + 3*d - 18. Suppose -35 = -w*n - 2. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 12:34 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -14\/9, -2, 1, -1494, 9 in decreasing order.\nAnswer: 34, 9, 1, -14\/9, -2, -1494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343537 + 242808 - 68841 = 8086*x for x.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1265, 4986, 11187, 19868, 31029?\n\"Answer: 1240*b**2 + b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-17)\/(986\/(-87)))\/((18\/8)\/1). What is the third biggest value in 12, i, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*c - 2 + 2 - 658*c + 958*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178459?\nAnswer: 47, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-72)\/36)\/(5*-3). Let l = -1 + 0.4. Let c = l - -0.3. Put o, 3, 7, c in decreasing order.\nAnswer: 7, 3, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.42907531\nAnswer: 0.171630124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*15\/(-25)*20\/(-8). Solve m*s + 32 = 11*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -101, -341, -811, -1589?\nAnswer: -2753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.7 + -2.74. Let u = 200 + -202. What is the closest to 2 in u, c, -1\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.36 (b) 0.3 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 5*x - 1, -x - 3*r - 33 + 18 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t - 3. Let p be g(-8). Let s(o) = -3*o - 1410 + 756 + 697. Let l be s(p). Solve -25 = -3*q - j - l*j, -2*q + 2*j + 6 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 8 + -6 + (22 - 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = k - 5*q, 4*q = 1 + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -170 + 149 + (-1 - -46) - 27\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90 + -80 - (0 + 11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - 43 - (-2 + -18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17390855*p + 34781720*p - 17390865*p + 19*p**3.\nAnswer: 19*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.112852 litres?\nAnswer: 4112.852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 11:41 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*n**3 - 100*n**2 + 13*n**3 + 6*n**3 + n**3 + 2*n**3 in the form d*n**3 + t + m*n + s*n**2 and give s.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -604867616*x**2 + 1033495664*x wrt x?\nAnswer: -1209735232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75500622 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(-3)\/(3 + (-60)\/16). Suppose -4*k + 0*i + 44 = -2*i, -2*k - 3*i = -22. Suppose -k - r = -q. What is the remainder when q is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103762343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - 1 - -3 - -3. Suppose -g - p*g + 30 = 0. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-3*r - 3*r + 5*r) + r - r + 3*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrz when three letters picked without replacement from {z: 11, r: 3}.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25.109 and 0.5.\nAnswer: -12.5545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 244225915 a multiple of 1384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Let a be (-20)\/(-6)*b*-1. Let d(s) = s + 3. Let g(t) = 2*t + 5. Let y(l) = a*d(l) + 6*g(l). Let h(j) = 4*j. Calculate y(h(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/32)\/21*-4*-3*6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 3*f + f + 68, 0 = -3*r + f + 56. Suppose r + 14 = 2*g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(8\/(-20)))\/(3\/(-9)). Suppose -v*k + 58*k = 8686. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2233, 4915, 7597, 10279, 12961, 15643?\nAnswer: 18325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10101787.\nAnswer: 19, 531673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*o - 22414 = 2066 for o.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/5 + 996*o\/5 - 2032 = 0. What is o?\nAnswer: -508, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-460*k**2 - 294*k**2 + 869*k**2)*(k**3 - 4 + 0 + 2).\nAnswer: 115*k**5 - 230*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 231*h**3 - 332*h**3 + 9863*h - 761*h**3 - 112*h**3 wrt h.\nAnswer: -5844*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 4*b**2 + 2*b + 2. Let g be i(-2). Let o be (26 - 6)\/(g\/(-150)). What is the highest common divisor of 120 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1766, -1893, -2230, -2879, -3942, -5521, -7718?\n\"Answer: -17*m**3 - 3*m**2 + m - 1747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -352238878843542 and 0.1.\nAnswer: -352238878843541.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 308*z**4 + 4*z**2 - 4*z.\nAnswer: 7392*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -324 + 0?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - m = 0. Suppose -4*n + 15 = n. Suppose -5*z - 27 = -n*j, -3*j + 15 = -0*z - z. Sort z, 2, m in increasing order.\nAnswer: z, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -55, -103, -181, -295, -451, -655?\nAnswer: -913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40300224143 + -3?\nAnswer: 40300224140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(1*1\/((-3)\/6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.23, 3, 2, -11, -100, -1\/2 in decreasing order.\nAnswer: 7.23, 3, 2, -1\/2, -11, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkuvvkkvkuvh. Give prob of sequence khk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - i = 2*i + 2, -4*i = 5*v - 45. Suppose v*q + 134 = 173. Sort q, -2\/3, 2\/11 in descending order.\nAnswer: q, 2\/11, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31749*p**4*w**3 - p**4*w**2 - 2*p**2*w**2 + 4*p - 9088*w**3 wrt p?\nAnswer: 761976*p*w**3 - 24*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + sqrt(700)*-1).\nAnswer: -30*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a*r*w**2 + 19*a*r - 45*a*w**2 + a + 224*r*w**2 + 12*w**2 - 3*w wrt r?\nAnswer: -a*w**2 + 19*a + 224*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.1528601 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 188237879809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 9*g - 10. Let s = -66 - -71. Let d(w) = 6*w**2 + 7*w. Let p(b) = -7*b**2 - 8*b. Determine g*p(l) + s*d(l).\nAnswer: 2*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/5)\/(171\/570). Let c be (-3)\/(-2)*(-8)\/(-3). What is the biggest value in c, -2, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*o**2*s*u*y**3 + 10*o**2*s*u*y**2 + 5*o**2*y**3 - 6*o**2*y**2 + o**2 + u*y**3 + u*y**2 wrt y.\nAnswer: -30*o**2*s*u + 30*o**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2902662 and 5805324.\nAnswer: 5805324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2153354 and 840.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 17 + (-6 - 6) - (-5 + -2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = 3*o + 184 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 - -57. Let x = -139 - -697\/5. What is the third biggest value in -2, w, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-39 + 34)*((-144)\/5)\/3. Suppose 0 = -3*i - 3*y + x, 0 = -3*y - 8 - 4. Let w = 28 - 23. What is the highest common divisor of i and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 4*o - 9, 128*o - 107*j + 321 = 61*o + 68*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -2 (c) 0.41 (d) 2 (e) 0.5 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607054483.\nAnswer: 7, 12388867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = q - 4 + 14, 2*n = 4*q. Let m be (-2)\/(-9) + 58\/(-18). Which is the closest to 1\/4? (a) m (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 872*b**2*n**2 - 6*b**2 + 2*b*n + 28 wrt n?\nAnswer: 1744*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121871 is divided by 8122?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**2\/9 + 167*i\/9 + 176 = 0.\nAnswer: -9, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27880, -28263, -28622, -28945, -29220, -29435, -29578?\nAnswer: -29637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + -1.5. Let r = 0 - l. Let c = r - 1.60006. What is c rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - -2*sqrt(162))*-5 - (-2*sqrt(162) + 1))**2.\nAnswer: 234*sqrt(2) + 27379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n + 1. Let i be j(2). Suppose -9 = -5*w + 3*c, i*w = -0*w + 4*c + 7. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-8)\/24*-6. Let i(f) = 2*f + 4*f**2 + 4*f - 3*f. Let y(z) = -z**2 - z - 1. Calculate v*y(o) - i(o).\nAnswer: -2*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 96\/7 - 4\/(-14). Let h be -5*(1 + (-43)\/5). Suppose 4*v - h = -z - m, 0 = -3*z + 3*v - 3. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 - 156730*g**3 + 1227273905*g**2 + 14744218020*g + 44249587380.\nAnswer: 5*(g - 15679)**2*(g + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 11 + 30 = 0. Suppose 4*y - a = -9. Calculate the least common multiple of y and (-10)\/(-55)*165\/10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9257 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 0 + 2 + -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-1)*(-6)\/12. Let z = 980 - 979. Let l(b) = 1. Let d(c) = 2*c + 1. Let v(k) = u*l(k) + z*d(k). Determine v(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, v: 2, j: 3, p: 1, e: 1}. Give prob of picking 2 b.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 114*a - 220. Let s be j(2). Let m be 4 - (0 - (3 - 3)). Suppose 0*d + 20 = 5*d. Solve -d = -m*v + s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247722861 divided by -355413?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111100 (base 2) to base 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 1000001?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*g**2 - 25*g**2 + 58*g**2 + 159*g**2 - 2 + 419*g**2.\nAnswer: 842*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.212054 to one decimal place.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215257957?\nAnswer: 43, 461, 10859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 u, and 1 p when three letters picked without replacement from {y: 2, p: 1, c: 2, u: 1, n: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -n - 4*f, -5*n + 15 = 3*f + 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 23*k + 21. Let b be g(-9). Let q = -102 - b. Suppose -4*j - 19 = -7, -5*y + q*j + 174 = 0. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**8\/392 + 4*y**7\/147 - 4*y**6\/35 + 9*y**5\/35 - 29*y**4\/84 + 2*y**3\/7 + 12*y**2. Let a(o) = 0. What is o?\nAnswer: 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3602, -13912, -30916, -54608, -84982, -122032, -165752, -216136?\nAnswer: -273178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 551 + -253. Let r = n + -294. Sort 1, r, 6 in ascending order.\nAnswer: 1, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 3*k. Let o = -16 - -32. Suppose 3*w - 3*n - 30 = k, 3*w + w - o = -2*n. 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: What is the value of (18\/(-27))\/(4\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 77046 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-735)\/532) - 3 - 2\/(-3)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 552*i**2. Let x(s) = -37*s**2. Determine m(x(c)).\nAnswer: 755688*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16.8 and -6.93?\nAnswer: 9.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**9\/252 + m**7\/3 + m**5\/30 + 535*m**4\/12 + 2*m**2 - 288*m. What is the third derivative of s(g) wrt g?\nAnswer: -240*g**3 + 1680*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -186813, -373082, -559351?\n\"Answer: -186269*r - 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/10 and 67\/30014?\nAnswer: 150070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8417.139t?\nAnswer: 8417139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.699523 + -9.7. Round t to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 - 4 + 3*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 - -373321.45339\nAnswer: 373321.19339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -d29bda?\nAnswer: d29bdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 3*x**2 + 4*x - 3. Let a(t) = t + 4*t + 0*t - 2*t - 15. Let h be a(3). Let j be (h\/(-9))\/((-4)\/(-12)). Calculate m(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 187, 700, 1565, 2782, 4351?\n\"Answer: 176*m**2 - 15*m + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*m + 31*m + 7*m**3 + 30*m - 90*m.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 711*v**2. Let u(d) = -58804*d. Calculate r(u(z)).\nAnswer: 2458574305776*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/105 and 50\/9.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 224031204 (base 5) to base 15\nAnswer: 14bd89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 65\/934658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 221, 3 in increasing order.\nAnswer: 3, 4, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 69 + (-2 - (-3 - -21)) + 11?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n = -5681 - 611. Calculate the remainder when n is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -406205 divided by -593.\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4}. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/6)\/(-1))\/(40\/60).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 3*u + 6. Let a be b(3). Suppose 4*n - 2*i + 34 = 0, i - 10 = n - 0. Let q = n + a. Is q at most as big as -8\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*x + 48*x = 96 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 5, 2\/3, -3\/5 in decreasing order.\nAnswer: 5, 2\/3, -3\/5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/2))**44)**(2\/27)\/(i**4\/i**(1\/5)*(i\/(i*i*i**(-2\/3)))**(-1\/2)) assuming i is positive.\nAnswer: i**(-1511\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 26. Calculate the remainder when 39 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1064 + n - 1062 + 2*n.\nAnswer: 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*1)\/(((-675)\/30)\/15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y - 7. Let n = 1435 - 1418. Let o(j) be the first derivative of -7*j**2 + 20*j + 1. What is n*i(h) + 6*o(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-18 + 7 - -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 6 - 188\/16.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/6))\/x)\/(x\/(((x**(-12)*x)\/x*x)\/x))*x**(-12)*x*x**(-6) assuming x is positive.\nAnswer: x**(-179\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - r**2 + r + 1. Let v(z) = -z + 2*z**2 - 5 - 4*z + 9*z**3 + 2*z**2. Suppose -1515 = 447*c - 312*c + 1481*c + 101. Give c*v(h) - 5*q(h).\nAnswer: -4*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1471750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23, 20, 17, 14?\n\"Answer: -3*n + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z**2 + 2*z + 1. Let x be r(-1). Suppose x*j - j = 0. Solve -4*f + j*f = -20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1101 - -4?\nAnswer: -1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 91389169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 27 = h. Let m(b) = 2*b**3 + h - b**3 + 10*b**2 + 4*b + 6*b. Let d be m(-9). Solve d = 4*u + u - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*d + 27, 2*b + 13 = d - 2*d. What is the biggest value in b, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4941882?\nAnswer: 2, 3, 11, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-248)\/651)\/(2\/(-3)))\/((-80)\/56).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - d + 7 = -2*l, -2*l - 2 = 2*d. Let y(u) = 2*u + 2. What is y(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74\/126 + (-108)\/243\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((0 - -1) + 33)\/((-4)\/4). Let s = 34 + k. Suppose 5*x - 13*x - 16 = s. Which is bigger: -29 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 + 0\/(0 - -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 27*b - 23. Let z be g(7). Suppose 148*r + 401526 = z*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1176 and 137\/798?\nAnswer: 22344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (156\/12 - 0). Suppose 5*o + 2*s - 20 = 0, -2*o + 0*s + 19 = 3*s. Solve -4*p - 6 = 4*b - 2*b, 0 = -o*b - i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -8 (b) 0.3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 661?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 150*m**2 - m - 1. Let r(s) = 300*s**2 - s - 2. Let h = 22 + -19. Let n(b) = h*r(b) - 5*v(b). Is n(1) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*i - 70505 + 70505 + i**2 to the form v + u*i**2 + t*i and give t.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 531? (a) -0.2 (b) 2 (c) -4.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 90*d**2 + 8. Let s(c) = 23*c**2 + 2. Determine b(s(f)).\nAnswer: 47610*f**4 + 8280*f**2 + 368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h = -17*h - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**2 + 4368*a - 13113 = 0.\nAnswer: -4371, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 6:36 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15842199 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 is the next term in -132, -200, -322, -504, -752, -1072?\nAnswer: -1470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/36 - 0\/61?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185.559886 + 3.4?\nAnswer: 188.959886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*i - 6*i - i**2 - 18*i**2 + 479 - 479 + (1 - 2*i - 1)*(-2*i - 2 + 2) as h + l*i + b*i**2 and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2714, 2706, 2708, 2726, 2766, 2834?\nAnswer: 2936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - 29 + 70*v**2 + 46*v**2 in the form q*v**2 + m*v + h and give q.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 + 41 - 44 + 2*m**2 - 2*m**4 + m - m**3 to n*m + k + b*m**3 + u*m**2 + i*m**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 715.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u**2. Let y(l) be the second derivative of -l**6\/360 - 2*l**3\/3 - 6*l. Let c(p) be the second derivative of y(p). Determine t(c(s)).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 436 + -277. Is (0 - -2)*y\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13300 and 2128?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-9))\/((-184)\/423). Let p = f - 8879\/22632. Let c = p + -4745\/738. What is the common denominator of c and -97\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, d: 2, w: 1, m: 1, k: 4}. Give prob of picking 1 k, 1 d, and 1 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14308167 at least as big as 14308167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 9:23 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*o = -4*w + 778, 3*w - 3*o = 606. Let k = -119 + w. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + n - 2. Suppose g = 3*f + 1, 2*g = -0*f - 4*f + 12. Calculate the lowest common multiple of f and y(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4*d = -114 + 118, 4*d = -2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.004 * -3.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 + 1622*s - 16212\/5.\nAnswer: -2*(s - 4053)*(s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.168 - -2.068. Sort d, -4\/7, -4 in ascending order.\nAnswer: -4, -4\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 18 = 2*u. Let p be (10\/u - -2)*3. What is the greatest common divisor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6384\/(-18)*(-9 - (3 + -9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252828?\nAnswer: 2, 3, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -5*p**9\/504 - p**5\/12 + 2*p**2 - 5*p. Let n(l) be the first derivative of q(l). What is the third derivative of n(o) wrt o?\nAnswer: -600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5866911399 + -1.5.\nAnswer: 5866911397.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, k: 4, f: 9}. What is prob of sequence fkf?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**4\/12 + 2*k**3\/3 - 15*k**2\/2 - 15*k. Let s be w(-7). Solve i - 5 = s*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -2 + 8 + 6 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 41738 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssseshhehsekhm. What is prob of sequence ks?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**2\/(w**(2\/15)\/w)*(w**0*w)\/w**(-9\/7) assuming w is positive.\nAnswer: w**(541\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 22. Solve j = r + r - 5*p, 0 = 4*r - p - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6705369 by 297.\nAnswer: -22577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.8, -2\/19, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3ca50f (base 16) to base 6\nAnswer: -221104023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22833 is divided by 31.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 79966.8878 to the nearest ten.\nAnswer: 79970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-46)\/92 - 1837\/(-2). Suppose -36*p = -53*p + n. Are 51 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**4 + 14*s**3 + 3*s**2 - 6*s - 2. Let c(x) = x**4 - x**3 - x. Let r(t) = 6*c(t) - o(t). What is the third derivative of r(m) wrt m?\nAnswer: 48*m - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-1)\/(-3)) - 3\/1. Suppose 1077 = 3*s - 3*y, q = -2*s - 4*y + y + 718. What are the prime factors of s?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c. Let s(n) = n**2 + 4*n - 6. Let q be s(-6). Let z be a(q). Let w(l) = -l**3 + 6*l**2 + l + 4. Calculate the remainder when 19 is divided by w(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18806640 by -3134440.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4*f - 5488, 0 = t - 0*t - f - 2748. Let o = -1581 + t. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13633930 divided by 6?\nAnswer: 6816965\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.229 - -59.729. What is i rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 21*f - 53. Let k be u(16). Let r = 91 + 44. Calculate the highest common divisor of k and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17\/6, -1, -67.21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -29. Find the third derivative of 8*p**2 + 0*p**6 + 0*p**6 - 3*p**r wrt p.\nAnswer: -360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -8, -4*l - h + 5*h + 14236 = 0. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24.6 - -25. Let d = 0 - 0. Let j = d - -1. Put j, -2, m in increasing order.\nAnswer: -2, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 - 103 + 3*k**2 - 107 + 210.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 11*g**3 - 8*g**2 + 6*g - 6. Let f(x) = 21*x**3 - 15*x**2 + 11*x - 11. What is -6*f(m) + 11*j(m)?\nAnswer: -5*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -144*v - 25. Let k(d) = -34*d - 6. Let y(o) = -4*k(o) + w(o). Let z(h) = -17*h - 1. Determine -13*y(a) + 6*z(a).\nAnswer: 2*a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**7\/1365 + n**6\/260 - 3*n**5\/130 + 5*n**4\/156 - 2*n**2 - 52. Factor i(b).\nAnswer: 2*b*(b - 1)**2*(b + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -20*v**3 - 12*v**2 + 606*v + 2816. Let s(q) = -16*q**3 - 10*q**2 + 609*q + 2816. Let o(d) = -5*k(d) + 6*s(d). What is the derivative of o(l) wrt l?\nAnswer: 12*l**2 + 624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 112716.\nAnswer: 225432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/54 and -32\/37269.\nAnswer: 223614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2394\/(-2352) + (-18 - -9)\/(-63).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-15)*y*y**(-7) assuming y is positive.\nAnswer: y**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f**2 - 43*f - 474. Determine v(-9).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 111*d - 105*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 + 2. Let d(z) = z. Let c be d(5). Let b = -3 + c. Determine y(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 544.869 rounded to the nearest 10?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 4*n + 7. Let t be q(8). Let h be (t\/2)\/((44\/8)\/(-11)). Let i = 181 + h. What are the prime factors of i?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-12) + (-174)\/8. Let t = x - -16. List the prime factors of (-68)\/(-6) + (-4)\/t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2329)\/(-2) - 5\/10) + -5 + 1. Which is smaller: a or 4641\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2510, 19660, 65878, 155600, 303262, 523300, 830150?\n\"Answer: 2406*o**3 + 98*o**2 + 14*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -7.6, 1\/3, 1\/41, -0.13, 2?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -19*r + 22*r + 12, 4*r - 47 = -5*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*q**2 + 1\/3*q**3 + 0 - 2\/3*q.\nAnswer: q*(q - 2)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 2*m - 11 = 0, -3*m + 23 - 6 = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**2 + 12. Let p(i) = 8*i. Calculate z(p(n)).\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**3 - 2*l**2 - 1. Suppose 24 = -2*r - 2*r. Let b(q) = 9*q**3 - 4*q**2 - 2. Suppose -f = 4*f - 65. What is f*n(x) + r*b(x)?\nAnswer: -2*x**3 - 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 14 + 10 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b - 2*b + 6*b + (16*b - 70 + 70)*(-2 + 2 - 2) as o + t*b and give t.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 10*j**3 - j**2 - 12*j + 4. Let y(v) = 10*v**3 - v**2 - 14*v + 5. Determine 7*r(l) - 6*y(l).\nAnswer: 10*l**3 - l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylll when four letters picked without replacement from {y: 14, l: 4}.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8121964.3 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 442358212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3640*r - 265*r**4 - 469*r**2 + 595 - 709*r**5 - 2646*r**2 + 2785 + 3635*r**3 + 714*r**5 = 0?\nAnswer: -1, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1*l)**(3\/29)*l**(1\/2)\/l**(-1\/8)*(l**(8\/3)*l**(-2\/17))**(-45) assuming l is positive.\nAnswer: l**(-449119\/3944)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**3\/3 + 2*r**2 - 21*r - 24. Let v be a(4). Is (-14)\/(-77) + 999\/v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3633 = -20*r + 3833 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Suppose r = 3*s - 7 + 1. Let t = s - -2. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -655*z + 1208*z + z**3 - 553*z + 17*z**3.\nAnswer: 18*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 12*c**2 - 13*c. Let h be a(9). Suppose -3*r + 6 - 18 = 0. Let b be h\/(-44) - r\/(-22). Calculate the greatest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 164, 1 in decreasing order.\nAnswer: 164, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.03 - 0.03. Let y = -1320\/53 + 5121\/212. What is the closest to s in y, -0.2, -3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15185779 is divided by 279?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - 14*p + 3. Give q(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1350 - 2?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8206?\nAnswer: 2, 11, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10561?\nAnswer: 59, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 5*d + 16. Suppose 0 = 5*t - 0*t - 15, -3*z - 18 = 3*t. Give m(z).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 7*b + 2. Let x be g(0). Suppose -2*m - x*o = 2*o, -3*m - 2*o = -8. Solve 22 = -m*l + 10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 + -86. Let h = j + 32. Is 5 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2. Let v(t) = 4*t**2 - 2. Let f(p) = -21*p**2 + 11. Let x(z) = 2*f(z) + 11*v(z). Calculate -12*h(m) - 4*x(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 9:03 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p + 12 - 12 + 2*p. Let i(t) = -36*t**2. What is i(s(l))?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -286 + 16. Suppose -3*d = -3*m - b, -6*m - 3 = -d - m. Suppose d*v - 2 = 17*v. Solve -5 = o - v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83313*s = -82880*s + 1732 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 14. Suppose 0 = -4*r - x + 16. Suppose -z + 4*t = 1, -3 = 4*z - t - 14. Calculate the highest common factor of z and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**6\/60 - a**5\/60 - a**4\/4 + 2*a**3\/3 - 213*a**2. Let d(r) = 2*r**3 + r**2 + 5*r - 4. Give 6*d(g) + 5*m(g).\nAnswer: 2*g**3 + g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d*(d\/d**(-1\/8))\/d)\/d)\/d)\/(d\/d**(8\/3)))**(2\/39)*((d*(d*(d\/d**8)\/d)\/d)\/d)\/d**8*(d**(-3)\/d)\/d**(-2\/3) assuming d is positive.\nAnswer: d**(-9005\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 22*n**5\/9 + 358*n**4\/9 - 1114*n**3\/9 + 506*n**2\/9 + 76*n\/3 = 0.\nAnswer: -19, -3\/11, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, r: 5, u: 2, w: 2, i: 3}. What is prob of sequence wj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4834 is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpii when four letters picked without replacement from ipppppwii?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(7\/6)*g*g)\/(g*g\/(g**(1\/12)*g*g)))**35 assuming g is positive.\nAnswer: g**(455\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2174 divided by -2\nAnswer: -1087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 20 = 5*f - 10, 12 = 3*f - v. Solve 0 = -f*q + 5*w - 5, -2*w + 3 = 4*q + w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108240947 = 11*h - 125641053. What is h rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - (sqrt(228) - (sqrt(228) + sqrt(228) + sqrt(228)*1 + sqrt(228) + sqrt(228) + sqrt(228))*3))\/(-2*sqrt(1452)).\nAnswer: -9*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19\/89 + 8213\/534. Calculate the common denominator of c and 51\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 5*m - 28. Let z(g) = g + 2. Let h(l) = l**2 + 13*l - 6. Let i(n) = -h(n) + 5*z(n). What is the units digit of i(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 4*u - 55 = 18 + 30, -13*q - 5*u = 179 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3858853452 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -352*t + 3477*t + 5475*t + 1094*t - 293*t in the form i + y*t and give y.\nAnswer: 9401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.3. Let q = 0.14 + n. Let s = q - 3.04. Put s, -3\/4, -0.5 in decreasing order.\nAnswer: -0.5, -3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/37? (a) 1\/4 (b) -3 (c) 4\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2\/15 (b) -31 (c) -5 (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17\/2 of a century?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 2, n: 1, r: 4}. What is prob of picking 1 n and 1 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0674975 to 5 dps.\nAnswer: 0.0675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d*t*w**2 + 4*d*w**3 + 145*d*w**2 - 14*d + 159431*t*w**3 wrt w.\nAnswer: 24*d + 956586*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623760005?\nAnswer: 5, 11, 17, 667123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 414*i**4 + 2*i**3 + 244*i**2 + 5.\nAnswer: 9936*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2 + 2*w + 4. Let d(l) = -1748*l**2 + 11*l + 19. Calculate d(f) - 5*h(f).\nAnswer: -1768*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from {m: 10, o: 6, w: 4}?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 478791191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 35?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 370, 658, 4 in decreasing order.\nAnswer: 658, 370, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, -2513, 3 in decreasing order.\nAnswer: 3, -4, -7, -2513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-6))\/(-2)*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*o + 15. Let x = o - -7. Suppose 4*s - 40 = -4*g, g - x*s + 10 = 35. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - h - 78 = 0, -5*j + 2*h + 177 = 4*h. Suppose 0 = -5*k, -3*i + j = -k + 121. Is (-2678)\/(-14) - (-8)\/i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 3, -1\/5, 0.31?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.58*-5467\nAnswer: 8637.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 2*p**2 - 17*p + 4. Does 26 divide m(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 621.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/336 and 79\/33.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -232 + 3?\nAnswer: -22c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 616 divide 15045661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 55\/(-6 + 1) + 10027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2211012 (base 3) to base 7.\nAnswer: -5666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**9\/3024 - v**6\/360 - v**3\/3 - 3. Let s(k) be the third derivative of g(k). What is the third derivative of s(y) wrt y?\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 34\/493 + (-328)\/(-290). Let 0 - 9\/5*y**2 + 12*y**3 - d*y = 0. What is y?\nAnswer: -1\/4, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 8:19 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 124354312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1671 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 3:13 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l + 7*l - 3*l + (2 - 6*l - 2)*(-336 + 170 + 157) as p*l + m and give p.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 5*f + 4*f)*(-3 + 2*f + 3)*(2*f**2 - 2 + 4 + 0).\nAnswer: 8*f**4 + 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((1 - 5) + 6)\/((-2)\/(-33)). Suppose j*t = 29*t + 48. Calculate the least common multiple of 3 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 241*l + 193. Let b(r) = 119*r - 97. Let k(s) = 7*b(s) + 3*h(s). What is the derivative of k(u) wrt u?\nAnswer: -6*u + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5439?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 36*r - 3. Let l(g) = -37*g + 4. What is -2*l(p) - 3*t(p)?\nAnswer: -34*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -75.\nAnswer: -37.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(24)\/(-1*-1*sqrt(12)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.94881 - -1024.51919. Let z = m - 1026. Let a = z + 0.012. Round a to one decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2219300 rounded to the nearest ten thousand?\nAnswer: -2220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000577207479 rounded to six dps?\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 5*w, 4*r + 24 = -14*w + 13*w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**2 - 142688*o - 285392 = 0. Calculate o.\nAnswer: -2, 35674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 9:34 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18\/11 - -32\/33. Let s = 86 + -91. Let m be (-2)\/(-6) - 3\/36. What is the nearest to m in a, -1, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1071 divided by -26.\nAnswer: 1071\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5172 and 9195878363.\nAnswer: 9195873191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - -2. What are the prime factors of 4\/o + (-8)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*a + 0 - 14*a + 2*a - 1 + 15442*a**3.\nAnswer: 15442*a**3 - 26*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 530069 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*s - 4 - 5, 5*s + 4*k - 21 = 0. Suppose -g + 3*b = s - 6, 0 = 5*g - 4*b - 47. Solve w = 4*t + 17, -2*w = 3*w + 4*t + g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*n + 132*n - 120428 - 204985. List the prime factors of n.\nAnswer: 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3*j = -10, -n - 4*j - 43 - 2 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u + 3. Let i be a(-4). Suppose 0 = -y - 9 + i. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250345419 a multiple of 1077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(891) + sqrt(891)*1 + sqrt(891)) - ((sqrt(891)*-1 - sqrt(891) - sqrt(891)) + -5))**2.\nAnswer: 810*sqrt(11) + 72196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3*-2)\/(6\/4). Is 86\/d*(2 - 8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - k + 3. Let j be s(0). Find the second derivative of -4 - 3 + 7 - 3*y**j + 3*y wrt y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azzu. Give prob of picking 1 a and 2 z.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 87 - (13 - (0 + 28))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (84\/10)\/((-3)\/(-20)). Let t(s) = s**2 + 7*s - 190. Suppose -33*r + 222 = -141. Let v be t(r). What is the greatest common divisor of v and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 19*g + 531 = -51*g - 28*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37885185 and 270.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1416 is divided by 178?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Suppose -4*c - 2*l + l + 3 = 0, -33 = -4*c + 5*l. Suppose 8 = c*m + 12. Put -1, m, -5, g in increasing order.\nAnswer: -5, m, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -144, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 309746841 - 0.1220278.\nAnswer: 309746840.8779722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24259 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55476 + -261561. Let i = -206096.00003 - k. Let m = 11 + i. Round m to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 166*b + 253*b - 4 + 81*b.\nAnswer: 168*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.21 + 0.19. Let d = 123608.599992 - 123609. Let j = d + g. Round j to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*(-122)\/61?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 4. Let n be s(2). Let b be ((-16)\/25)\/(-4)*(-10)\/n. What is the closest to -0.1 in b, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + 16. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 6*k. Let s be (55\/33)\/(2\/(-6)). What is q(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + -249. Suppose -1216 = -3*v + v. Let l = k + v. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 25*l + 391. Let k be g(-9). What is the highest common factor of k and 249?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 16*g - 22*g. Let n(y) = -11*y - 40. Let o be n(g). Suppose o = 4*q - 0*q. Is 26 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + 81\/(-2))*(-28)\/(-49)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k = -27*k + 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-27)\/189*(-88)\/(-2) - -6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-2) - (-1)\/2. Suppose w = -d*t - 21, 5*w + t - 25 = 2*t. Let p = -1\/43 - 39\/172. Which is the smallest value? (a) 0.3 (b) w (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + u + 4. Is g(3) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 1:07 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.112 + 0.192. Let r = 2.9 - 3. Let n = -287\/9 - -32. What is the smallest value in r, n, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + -2 + (-6 - -9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*k + 153*k - 5 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -1\/3*u**3 + 0 + 0*u**4 + 3*u**2 + 0*u + 1\/60*u**5. Let r be a(-2). Is r greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*u**3 + 0*u + 2*u + 72*u**3 - 20*u as i*u**2 + y + z*u**3 + b*u and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.5 - 16.5. Do n and -24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 13144 - 13144.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46922304.\nAnswer: 2, 3, 11, 13, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30751 divided by 7?\nAnswer: 4393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/13)\/(3*5\/(-30))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8183*o**6 + 3268*o**6 - 291*o**2 + 3816*o**6 wrt o.\nAnswer: -131880*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*q*w**2 - 574*q*w + 5*q + 70673*w**2 wrt q?\nAnswer: 3*w**2 - 574*w + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*n + n**2 - 666*n + 483*n.\nAnswer: n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2 + 0*a**2 + 1 + a**3 - 11*a**2. Let m be g(11). Find the third derivative of 5*v**2 - 3*v**5 - m*v**2 - 4*v**2 wrt v.\nAnswer: -180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from {t: 8, v: 1, i: 4}.\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b - 6 - 9 + 15.\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - -24. What is the remainder when 1080\/56 + -19 + 2232\/28 is divided by a?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 635402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 923521\/7 + 1922\/7*i + 1\/7*i**2.\nAnswer: (i + 961)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.9, 2\/7, 3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 20*d**2 + 24*d - 18. Let a be u(18). Suppose 31*y - 22*y - a = 0. What are the prime factors of y?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 2893488?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 2*h - 88, 3 = -4*h - 5. Suppose 19*u = l*u - 1848. What is the greatest common factor of 42 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j**2 - 17*j - 5. Let h(v) = v**2 - v + 1. Give 5*h(p) + t(p).\nAnswer: -p**2 - 22*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + (-116)\/16?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g. Let b be 1*-1*(-2 - -3). Let x be b + -1 + 2 - 2. Give o(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4967532.\nAnswer: 2, 3, 43, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -239 - -375. Suppose -4*t = 2*q - 42, -5*q = t - 102 + 15. Calculate the highest common factor of n and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13484 is divided by 6724?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 23c918 (base 15) to base 9\nAnswer: 3201025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -472*a*d**5 + 48*a*d**3 + 6*a*d**2 + 2987 wrt d?\nAnswer: -28320*a*d**2 + 288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -606*u - 520. Calculate f(-1).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*p + 43634, 0 = -p + 5*p + 4*c - 43640. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/5)\/(2\/(-5)). Suppose 3*x = -y*o - 2, 0 = -4*x + o - 2 + 3. Solve x = -3*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = 4*y - 3*c + 2*c, -4 = -2*c. Let o = -15 - y. What is the remainder when o is divided by 18 - (3\/2)\/((-8)\/(-32))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(363) - (1*sqrt(363)*-1 + sqrt(363))).\nAnswer: 1 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 27. Let i be g(-27). Is i greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*f = 6930 - 5900 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - y + 0)*(26 - 102*y - 133*y + 265*y).\nAnswer: -30*y**2 - 26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from cuvcjccccccucczc.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = -10*a + 668. Let k = a + 16. Let p = -63 + k. Solve -8*o = -p*o + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44748, 51, -5, 5 in increasing order.\nAnswer: -44748, -5, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*m - 0*q + 18, 4*m - 5*q - 51 = 0. Let u(r) = -r**2 + 8*r + 9. Let b be u(m). Solve -w - 3*w - 25 = 3*x, b = x + 2*w + 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 5*p + 3*l + 33, -4*p + 2*l + 50 = 0. What is the highest common factor of p and 6146?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven fifths of a litre?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5044*j - 822210. What is y(163)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 28, 5, 0.\nAnswer: 0, 1, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 4969 = -4717. Solve -d*b - 50 = -31*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**7\/4200 + a**6\/1800 - a**5\/300 + 5*a**3\/6 - 6*a. Let d(o) be the second derivative of v(o). Factor d(i).\nAnswer: i*(i - 1)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 209905 = -67*r - 5623. Calculate the highest common divisor of r and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-8))\/((-1)\/(-50)). Let i be (0 - -132) + -26 + 19. What is the greatest common factor of l and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 4*d**2 - 3*d - 6. Let a(x) = 2*x - 7. Let h be a(6). Suppose n = -h + 1. Calculate u(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from jrh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -234\/7 + 2339\/84. Let h be ((-123)\/12)\/(2*3\/(-6)). Let y = h - 51\/4. Calculate the common denominator of y and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 11:49 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.62 - -10.6. Let r = -0.21 + 0.23. Let c = n + r. What is the third biggest value in -1\/11, 0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2188587.15233381 - -435629.05032551. Let d = -1752958 - m. Let p = -0.102 + d. Round p to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22210203003 (base 4) to base 5.\nAnswer: -1202134024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2988*z + 3500*z - 1632*z.\nAnswer: 4856*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 1 - -1) + -1. Let s be 0*(-3)\/(-9)*j. Let y = 2\/119 + -482\/357. Which is bigger: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uugsusgusuussus?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 15727 in descending order.\nAnswer: 15727, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -356 (base 7) to base 9.\nAnswer: -228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 259 + 4*c + 28*c**3 + 19*c**3 - 259 to o + z*c + y*c**2 + k*c**3 and give k.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(2\/39)\/(n**(1\/4))**25*((n**1\/n)**(-2\/33))**(-31) assuming n is positive.\nAnswer: n**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-48)\/(-28))\/((-3)\/(-210)). Calculate the common denominator of -133\/12 and t\/(-200) - (-58)\/330.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 2*a**2 + 2*a + 3. Let j be u(-2). Let h = j + 5. Solve h = -2*i - 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -105*l**5 + 40*l**3 - 9096*l.\nAnswer: -2100*l**3 + 240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*o + 1077 = 0, 3*p + 3*o - 2*o + 1596 = 0. Let j = p + 761. List the prime factors of j.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -155643189*g**3 - 11839*g + 2796 wrt g?\nAnswer: -933859134*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + 5*(sqrt(228) + (sqrt(228)*3*-1 - sqrt(228)) + sqrt(228) + sqrt(228))\/(sqrt(588)*4 - sqrt(588))))**2.\nAnswer: 7600\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-33)*t**(-18)\/t*(t*t*t*t*t**(-13\/5)*t)**(-22\/5) assuming t is positive.\nAnswer: t**(-1564\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 380 - 0.03128.\nAnswer: 379.96872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, 15, 34, 61, 96, 139?\n\"Answer: 4*w**2 - w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 2382.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16995 is divided by 906?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 862 minus -18555.05?\nAnswer: 19417.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 175811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*k**5\/7 + 102*k**4\/7 + 348*k**3\/7 + 492*k**2\/7 + 318*k\/7 + 78\/7.\nAnswer: 6*(k + 1)**4*(k + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**(6\/11)\/v*v*(v*v\/(v\/(v\/((v\/(v\/((v\/((v*v*v\/(v\/(v\/v**(-1\/2))))\/v))\/v)))\/v*v))))\/v assuming v is positive.\nAnswer: v**(133\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 730, 1166, 1602, 2038, 2474?\n\"Answer: 436*x + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1350242 is divided by 526?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkgikgkkkkfk. What is prob of picking 1 i and 3 k?\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -51\/5, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13310241 - -1?\nAnswer: 13310242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 - 120. Let v = n - -20. Let x be (-5)\/7 - (-4)\/(-14). Sort x, 3, 1, v in descending order.\nAnswer: 3, 1, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32090678 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2183530?\nAnswer: 2, 5, 67, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 630893?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-201)\/938)\/(1*(-3)\/(-4))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/1445 - 53474\/4335. Let b = -10 - -6. Find the common denominator of g and (-46)\/72 + b\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5190)\/(-98) + (4\/7 - (-35386)\/(-66689)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p = -11*p + 4, 2*p = -3*z + 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -250 + 255. Suppose 5*n - 465 = -r*j, 2*n = -j + 6 + 92. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-27) + ((-498965356)\/18)\/(-2). Let z = g - 60149. Round z to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89*l**4 - 28*l**3 + 152*l**2 - 4*l - 1 wrt l.\nAnswer: -2136*l - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1141*t + 51 = -1138*t. Let h(g) = 2*g**2 - 15*g - 51. What is the least common multiple of h(t) and 10?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/3, 0.05626, -1\/6 in increasing order.\nAnswer: -0.5, -1\/6, 0.05626, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -362231*f**2 + f + 389272 wrt f?\nAnswer: -724462*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 3*n - 3 = 0. Let a be 1 - (n - 5)\/4. Is 3831\/12 - a\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 1491 = 1092. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/4*(-8)\/(-12). Suppose -p = -v + 46. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -6)*8\/10. Let i be (-63)\/(-28) + 1\/l. Let q be 0 + (-3)\/(-3) - i. Is 1\/7 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 206522?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k**2 - 2*k - 34. Let q(g) = -6*g**2 + 2*g + 32. Let p(o) = 4*n(o) + 5*q(o). Determine r so that p(r) = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 154, 9\/11, -0.1204?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*r + 1 + 4, 3*l + 22 = 5*r. Let i(w) = -2*w + 2. What is the tens digit of i(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8451679 by -5.\nAnswer: -8451679\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - 13022?\nAnswer: -13013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.5 and -18699249.\nAnswer: -18699252.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t - 8*t = -18384. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*q + 13 + 3 = 0, 8 = 2*q. Let o = 0 + m. Suppose 3 + o = j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*(-2 + sqrt(28))*5 + sqrt(35)\/(sqrt(45)\/(sqrt(27)\/sqrt(3))) + 3)**2.\nAnswer: -7434*sqrt(7) + 28335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/1)\/(10\/(-15)). Let f be (-5 - -8)*4\/z. Solve -f*a + 12 = -7*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -779, -1292, -1813, -2348, -2903?\n\"Answer: -t**3 + 2*t**2 - 512*t - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 2177 = 763. Let y(k) = 104*k**2 - 2*k - 1. Let n be y(-1). Calculate the highest common factor of w and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s - 6*s + 4*s)*(6485 - 3289 + 6876) to the form j*s + f and give j.\nAnswer: -20144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.375 at most as big as 69458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 177b4 (base 13) in base 10?\nAnswer: 45270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2086385*p**6 + 353*p**2 + 1766 wrt p?\nAnswer: -250366200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y - 1. Let f(i) = -14*i - 3. Determine -11*b(g) + 4*f(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -390 <= -393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, y: 3, v: 6, c: 1, u: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzhkhphkkckb. What is prob of sequence hhhk?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4899 - 0.0899. Which is the fourth biggest value? (a) -3\/4 (b) -1.1 (c) 1\/7 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22.8 + 23. Let h = -3 + 4. Are z and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1001100111000100100?\nAnswer: 1001100111000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/8 (b) 4412 (c) -25 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1716764 by -7.\nAnswer: 245252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1b5 (base 13) to base 8\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2. Let u(k) = 15065*k. What is p(u(s))?\nAnswer: 453908450*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77848521*d**3*y - 16*d**2*y - 712524 wrt d.\nAnswer: -467091126*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -510325 (base 6) to base 5\nAnswer: -2242201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/60 and 64\/27?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 570704.\nAnswer: 1712112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93259?\nAnswer: 179, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 - 22*b**2 + 13*b - 36. Calculate d(-12).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 10*i + 67. Let j be q(-7). Let d = 1\/15 - -13\/30. Let v = 7 - 6. Which is the closest to j? (a) v (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**2 + 754063*h - 2630070 with respect to h.\nAnswer: -4*h + 754063","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - d = -3 + 4, -5*d + 22 = 4*b. Suppose b*v - 20 = -4*c, c - 25 = 4*v - 4*c. Suppose -j - 1 = -5, 3*q + j - 22 = v. Solve 5*h + 4 = -q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44265419 is divided by 545.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27354287?\nAnswer: 27354287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/t**(-1))\/t))**(-4\/5)\/((t**(-2\/17)*t*t)\/((t*t**(4\/7))\/t))*((t*t\/(t*t**(-10\/9)))\/((t\/t**(-7)*t*t)\/t))**(-2\/35) assuming t is positive.\nAnswer: t**(-4912\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6 + 4*x**2 - 17*x + 5*x + 8*x. Let d be n(-1). Solve -2*k = d*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 54\/8 + -2 - 6\/8. Suppose 3*a + 28 = q*y - 12, -a = 0. What is the derivative of 9*x**3 - y - 4*x**3 - 8*x**3 - 8 wrt x?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*n - 66*n - 26*n)*(1 + 0 - 3)*(15*n + 19*n**2 + 10*n - 18*n**2).\nAnswer: 224*n**3 + 5600*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -2352196 and -2352196 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(136)*5)\/(-2*sqrt(1152)).\nAnswer: 5*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1171087.204 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 351828010*b**2 - 501675574*b?\nAnswer: 703656020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 - 33. Let h be 3\/(15\/x + (-8)\/(-12)). Solve -1 = d - h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/5)\/(1\/(-5)). Suppose 0 = 3*x + z*u - 20, 2 = -0*u - u. List the prime factors of (-2)\/(-8) - (-222)\/x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11669 - -4?\nAnswer: 11671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -42*z - 12. Let i be u(-2). Suppose -3*m + 56 + 70 = 0. Let a = i - m. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2744)*-1*5)\/(4*(sqrt(64)*2)\/sqrt(8))*-6)**2 + -5.\nAnswer: 77095\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22, 51, 80?\n\"Answer: 29*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -22. Suppose 4*h - 2923 = 5*t + 1327, k*h = 25. Calculate the remainder when 1\/3 + t\/(-54) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1062 is divided by 619.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from pjpjgggjgggpggpg?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + 7.5. Let p = t - 7. What is the closest to p in 0.3, 2, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*t**5 - 81*t**4 + 123*t**3 + 200*t**2 + 12*t = 0. What is t?\nAnswer: -6, -1, -1\/16, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65016642.\nAnswer: 2, 3, 1429, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and 0.0816.\nAnswer: -0.00408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247446 and 236.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 169491474.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6 + (-23)\/(-3). Suppose 2 = 2*z - 2*a, 18 = z + 2*a + c. Let n = z - 1. Solve 3*k = -0*k + n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 x when three letters picked without replacement from {p: 1, j: 1, x: 7, n: 1, t: 1, k: 9}.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7410 and 29640.\nAnswer: 29640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 29*t**2 + 61*t + 47. Let c be i(31). Suppose c*a + 44 = 156. Solve a = 6*u + 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231, 574, 955, 1392, 1903, 2506, 3219?\nAnswer: 4060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 1623.\nAnswer: 1622.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 1123344*l + 157737717792.\nAnswer: 2*(l + 280836)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 886*r**2 + 6*r + 32. What is the hundreds digit of d(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -64059036 and -23.\nAnswer: 1473357828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1129239 is divided by 712.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.42 + 0.32955. What is f rounded to three dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 16. Let h = g - 9. Solve 0*j - 2*j - 13 = -3*u, h*u - j = 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*j - 10*j - 416 - 354 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - l + 9. Calculate the remainder when 23 is divided by c(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-22)\/((-264)\/14220) + -13 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-2 + 1)\/((-192)\/(-27) - 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 23746459 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**4 - 2*s**3 - 13*s**2 - 10*s = 0. Calculate s.\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -11*o**2 + 33*o + 11. Let f be v(6). Let g = -180 - f. Let t be 2 + (-2)\/(4\/(-6)). Put g, t, 1, 0 in increasing order.\nAnswer: 0, 1, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 563.\nAnswer: 563.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 0*f + 6. Let s(c) = c**2 + c**2 - 5*c**f. Let q(d) be the second derivative of -d**4\/6 - 6*d. Calculate s(q(o)).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 27 + 42*a - 33.\nAnswer: 42*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -2. Suppose g = s*g. Suppose w - 2*w + 2 = g. What is the smallest common multiple of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*w = -4*j + 18, -4 = w - 2*j. Suppose w*o - 2 = o. Suppose 4*n + o*r - 42 = 0, -4*r = -4*n - r + 37. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 11:36 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17437 + 17440. Solve -o*u + 1 = 2*r, 102*u + 3*r = 104*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -6. Let j = -121.2843 - 0.1157. Let u = 121 + j. What is the closest to 2\/7 in u, y, 9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4763 * -3.6.\nAnswer: -17146.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8866 = 607*f - 266*f for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 9060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 2:28 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 10:40 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5 - 14*i**4 + 20*i**3.\nAnswer: 2*i**3*(i - 5)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -2. Solve -4*o - 3 = g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -2. Let x(a) = -a**2 + 3*a + 4. Let t be x(0). What is the closest to f in t, -2, -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(6) - (sqrt(6) - sqrt(12)\/sqrt(18)))\/((sqrt(110)\/sqrt(5))\/sqrt(11)) + -5.\nAnswer: -5 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1252, -2509, -3768, -5029, -6292, -7557, -8824?\n\"Answer: -a**2 - 1254*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.3, 0.06, 0.4, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -s - 184, -11*s + 300 = 5*u - 14*s. Find n such that -15*n**3 + 16 + 20*n**2 + u*n - 2*n + 31*n + 4*n**3 = 0.\nAnswer: -2, -2\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59 and 2714?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -10 + 85. Suppose 0 = -o*n + 24*n + 8. Calculate the lowest common multiple of n and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 147, 2, -4, 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 268459 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1583481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -371 or -71358\/193?\nAnswer: -371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -9128571.\nAnswer: 2\/9128571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*n = 4*w + 62*n, 0 = 3*w + 9*w + 5*n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -92 - 1\/((-1)\/(-4)). Let c = -92 - t. Solve -10 = c*w - 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 3*w - 4*w)*(4 - 4 - w) + (3 + 3 - 3)*(2*w**2 - 3*w**2 - 3*w**2) - 12*w - 6*w**2 - 2*w + 11*w.\nAnswer: -16*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let y(d) = -3*d**3 - 5*d - 6. What is -5*w(v) + y(v)?\nAnswer: -3*v**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_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: Which is smaller: -4095 or -244\/1561?\nAnswer: -4095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/28 - -5\/28. Suppose -a + 5*a = -3*n + 70, -n + 2*a = -10. Let i = -13 + n. What is the closest to h in -5, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.032 - -0.968. Let g(w) = 3*w + 10 - 6*w + 18. Let x be g(9). Which is the nearest to x? (a) -1 (b) z (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -36*v**2 - 456*v + 18. Give y(-13).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 5 = 7*r, -r + 3*y + y - 205 = -192 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1465\/7053 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**4 - 50459*f**6 + 50262*f**6 - 1030*f**2 - 194*f**2 wrt f.\nAnswer: -23640*f**3 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -r + 19, 0 = 6*r - 7*r + 3*m + 7. Let z = 37 - 25. Suppose -2*k = k - z. Solve 3*s - d + 10 = -2, -4*s - r = k*d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -20 - (144 + -111)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 5:01 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20 - -26)*(-75)\/(-6) - 4. Solve -12 = 65*u - r*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*p - 434 = 0, 3*p = 4*r + p - 368. Suppose 3*u - r = 2*u. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 4. Let a be 68\/8 + 1\/(-2). Let v be u(a). Suppose 32 = 2*q - 2*d, 2*q - 29 = v*d - 3*d. 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 x = 99 - 99.2. Which is the closest to 2\/11? (a) x (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2462 is divided by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 0*c**3 + 0*c - 1\/60*c**6 - 1\/105*c**7 + 57\/20*c**5 + 116*c**2 + 0*c**4 + 0. What is the third derivative of z(n) wrt n?\nAnswer: -48*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-80)\/6)\/1*-3. Suppose 4*n + 3*r - 16 = 16, 4*n + r = f. Let w be -1 - (12\/21)\/(26\/(-91)). What is the highest common divisor of w and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 100 and 1\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 9, -3, 1\/2985, -132, -5?\nAnswer: 1\/2985","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1633998?\nAnswer: 2, 3, 272333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**6\/27 + 4*r**5\/45 + r**4\/18 - 4*r**3\/27 - 30. Determine w, given that o(w) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/3)\/(4232\/(-528) - -8). Suppose -d = 4, -5*d = q*u - 21*u - 1379. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.0699 millimeters to centimeters.\nAnswer: 8.10699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -5*u - 12. Calculate the greatest common divisor of 33 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/54288 and 123\/30160?\nAnswer: 271440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, 2, -40086 in ascending order.\nAnswer: -40086, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t**3 + 2*t**2. Let z = 11 - 6. Let b(h) = -8*h**3 - 3*h**2. Let u(n) = z*b(n) + 6*s(n). Find the third derivative of u(k) wrt k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a + 7. Let x be o(5). Let m = -15 + x. What is the greatest common divisor of m and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f*k**3 - 3*f*k*y**3 - f*y**2 + 192*f*y + k**3*y**4 + 133*k**3*y**3 + y**2 wrt y?\nAnswer: -18*f*k + 24*k**3*y + 798*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.07 (b) 1 (c) -5\/4 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 71. Solve 4*b - 3 = -l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.663 - -2.28135. Let g = -0.646 - -0.026. Let j = s + g. Round j to four decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 = 5*t + 1721. Let a = t - -307. Solve -4*u + 4*d = a, -d = 2*d - 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 161799 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5100 by -10.\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 k when four letters picked without replacement from aakaskksaakskkaakkk?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (644\/276)\/(7\/(-162))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/sqrt(3) - (sqrt(243) + -3)**2 - (-2 + sqrt(3)*-4 - (sqrt(12)\/sqrt(2))\/sqrt(2)))*2.\nAnswer: -500 + 124*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/21 + 192\/(-42) + 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 6:31 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 5*k**2 - 3*k + 2. Let i be u(6). Suppose -3*t - t = z - 4, 5*z - t = i. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(208) - sqrt(208)*1 - sqrt(208))*-4)\/((2*sqrt(320))\/((-1*sqrt(15))\/sqrt(3))))**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.02 - 5. Let f = 0.98 + s. Let y = f - -2. What is the closest to y in 2, 1\/5, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7717 - 7717. What is the nearest to 1 in -63, d, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**2 + 222*l + 78. Give t(56).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6429.18 micrometers in centimeters?\nAnswer: 0.642918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 5:50 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 219335 = -5*b, 3*c + 169959 = -2*b - 49364. Let d = c - -585577\/8. Let u = -185\/2 + d. Is 0 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 1596 = -5*l, 8*p = 9*p + 2*l - 412. Suppose 4*k - 348 = -80. Suppose -21 = -r - 2*z + k, -5*r + 2*z = -p. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51946 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**3 + 854435*c**2 + 9398270*c + 15378840 = 0. Calculate c.\nAnswer: -170876, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 19*k**2 + 41*k**2 - 42*k**2 - 3*k - 22*k**2 + 3*k. Let t(b) = -4*b. Let q(y) = -4*y. Let g(d) = -5*q(d) + 6*t(d). What is w(g(v))?\nAnswer: -64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1448281123?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*x = -9. Suppose -4*a = 5*g + 70, x*g + a - 3*a = -42. Let w = g + 22. Which is greater: w or -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10588 - -713?\nAnswer: -9875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 - 74525*h**2 - 277661515*h + 277736045.\nAnswer: -5*(h - 1)*(h + 7453)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**5 - 420*i**4 + 11760*i**3 - 109760*i**2.\nAnswer: 5*i**2*(i - 28)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/54 and -1\/96.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 = 0, -3*s - 110 = -4*z - 5*s. Calculate the lowest common multiple of z + 1 + (-2 - -3) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 3:13 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/88 and (2\/20 + 1547\/70)*5\/88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 2. Let k be n(-2). Suppose k = 2*u + 1 - 3. Suppose -u - 23 = -2*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -1\/6*g**4 - 1\/360*g**6 - 1\/3*g**3 + 2 + 0*g**2 + 0*g + 1\/30*g**5. Let u(m) be the third derivative of h(m). Factor u(r).\nAnswer: -(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2. Let n(z) be the first derivative of z**5\/15 - 15*z**2\/2 - 8. Let p(f) be the second derivative of n(f). What is p(g(t))?\nAnswer: 64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 11:56 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + sqrt(1575) - sqrt(63))\/sqrt(9) - sqrt(84)\/sqrt(48).\nAnswer: 9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -44*t**2 + 0 + 0*t + 1\/44*t**4 + 3\/11*t**3 - 1\/66*t**5 + 1\/660*t**6. Factor c(y).\nAnswer: 2*(y - 3)**2*(y + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -245, 3, 4, 0.1, 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z*z*z\/z**1*z)*z)**10*(z*z**(1\/2)\/z*z)\/z**(-6))**(1\/58) assuming z is positive.\nAnswer: z**(15\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - i - 5*i)*((-1 + 0 + 4)*(-2 + 15 + 1) + (-2 + 3 + 1)*(-1 + 1 - 1))*(0 + 4 - 2).\nAnswer: -160*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 15 = -2*q, -5*f + 2090 = 2*q. Is (2\/8)\/(8\/f) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -14. What is the smallest value in -1\/5, w, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5 = -4*z + 3*z, -4*k = z + 25. Let u be k\/(-10)*(25 + -20). What is the tens digit of (3 - 5) + u + 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*r - 2*r - 4*r)*(-5485*r**2 + 2731*r**2 + 7*r + 2755*r**2 - 726) to the form o*r**2 + j + w*r**3 + d*r and give d.\nAnswer: 726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*v + 997602 = 5*v, 997577 = 3*y - 2*v. Suppose -z - y - 115536 = 0. Let q = 1348065 + z. Round q to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -202478 from 241.89.\nAnswer: 202719.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y - 5. Let v be c(9). Let q(k) = 13 - v + 2*k**2. Let x(j) = -13*j. Calculate q(x(h)).\nAnswer: 338*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of (-7 + 14)\/(-7)*-45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 507, -136\/15?\nAnswer: 507","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2960772 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 10 = -o. Let q(m) = m**2 - m + 5. Let x be q(o). Suppose 140 = 3*h - x. What is h rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -951 - -955. Suppose 0*k + 4*k + 3*d + 17 = 0, 2*k - 2 = 2*d. What is the closest to k in -2\/5, -3\/7, h?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 7:40 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvpphhuvpvupv. Give prob of picking 1 p and 1 u.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -8*v - 20. Let s(g) = 7*g + 20. Let p(u) = -5*c(u) - 6*s(u). Calculate the remainder when p(-12) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.53 rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, -75, 6, 9, -2 in descending order.\nAnswer: 65, 9, 6, -2, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 10*t - 20. Let u be f(12). What is the second smallest value in 3, 0.1, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -0.1, 30, 5, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - 27*h + 0*h - 29 in the form c*h + i and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + l - 2)*(2*l**3 - 1 + 1) + (-4*l + 4*l - 2*l**2)*(-3*l**2 + 3*l**2 + 9*l**2) as u*l**2 + z + n*l**4 + y*l**3 + k*l and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 + (-1 - (-5 - -5) - ((19 - -4) + -12))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1772\/42 + -42)*18\/(-9 + 0).\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7387958?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = i - 0 - 52, 273 = 4*i + 5*p. Let z(g) = 9*g + 11. Let u(b) = -1. Let h(x) = -6*u(x) - z(x). What is the remainder when i is divided by h(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -64, -63, -62, -61, -60?\n\"Answer: t - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*p + 5. Is (-12)\/(-16)*p*12 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 -47*m**3 + m + 137 wrt m?\nAnswer: -141*m**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from uxiquqxxi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 0 + -2 + -7 - 0?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6)*c*(c*c**17\/c)\/c*c*c*(c\/(c\/((c\/c**(2\/13)*c*c)\/c)))**(-7\/4) assuming c is positive.\nAnswer: c**(127\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (4 - 0) + (11 - 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 28836.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5691, -6221, -6753, -7287?\nAnswer: -7823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/5382 and -7\/39.\nAnswer: 5382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50396, 50143, 49890, 49637, 49384, 49131?\nAnswer: 48878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 - -4 - (-2 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-7)*x*x*x\/(x*x**(3\/10))*x*(x\/(x\/x**(-3\/7)))\/x**(2\/9))**(2\/29) assuming x is positive.\nAnswer: x**(6331\/9135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*b - 15 = 3*y - 497*b, -4*y - 12 = -4*b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x. Let g(y) = 170 - 55 - 61 - 55 - 40*y. Calculate g(z(q)).\nAnswer: 80*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7209 and 11392.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 103934 - 103895 = 5*d, k + 3*d = 20. Let l be (0 + 1)\/((-2)\/50). What is the second biggest value in 1\/9, k, l, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 6 = 2*a - 12, -4*a - 2*k = -30. What is the units digit of 116\/2 - (-4 + a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6445, -10889, -15343, -19813, -24305?\nAnswer: -28825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.503824 nanograms in tonnes?\nAnswer: 0.000000000000004503824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 39*q = -50*q + 91*q + 12, 4*a + 18 = -2*q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41046515611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.93 + 0.07. Let g = -251 + 255. Suppose -g*n - 2 - 2 = -4*k, -4*n + 5*k - 4 = 0. Sort n, 1\/3, q, -2\/9 in ascending order.\nAnswer: n, -2\/9, 1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004537 rounded to 5 dps?\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 0. Let a(x) = 3*x + 1. Let p be a(m). Suppose 5*d = 2*o + 57, 2*d - p = 2*o + 11. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(2\/25))**8*(z\/(z**(-1\/2)\/z))\/z*z*z**17 assuming z is positive.\nAnswer: z**(1343\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1559177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 7, m: 2, j: 3}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 13. Let t be r(14). Which is the closest to 0? (a) -4 (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/5*((-80)\/(-400) - 1306\/30).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 9*o - 1257 = 0. Let j = 283 - o. Let m be 10\/(-55) + j\/(-22). Solve 4*t - t + m = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 1 = -s. Let m be (-1 + 1 - s)*1. Does 7 divide (m + (1 - 1))*-14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100.975883 + 100.97. Round u to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110102220110 - -200?\nAnswer: 110102221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 288888 or 1444444\/5?\nAnswer: 288888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8971 - 4652. What is the remainder when b is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + 3.7. Let r = j + -4.06. What is r rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4624 - 3774*m + 4620 - 13867 + 4626 as k + w*m and give w.\nAnswer: -3774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*-7*1 + -1. Let r be 6\/21 + 5\/7. Let p be 4\/(-6)*r*i. Do -3 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4553, 4560, 4573, 4592, 4617, 4648, 4685?\n\"Answer: 3*g**2 - 2*g + 4552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-24) - (-22)\/12. Let c(z) = 4 + z**q + 0*z**2 - 5*z + z - 3. Let h be c(4). Solve 3*f = -2*t - h, 0 = -2*t + 2*f - 2 - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from maaajmkkaaamj.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -13 - (-19 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f = -298237 + 63526. Suppose -7*t = -f - 11796. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.46 + 0.06. Which is the nearest to -2? (a) -1\/3 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 837921 is divided by 2554?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 36, -4.\nAnswer: -4, -2, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/138 and 53\/35678?\nAnswer: 2461782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*c - 115*c**3 + 39*c**3 + 3*c**2 + 78*c**3 - 3*c**4 - 2*c**2 as f*c**4 + r*c**3 + n + g*c**2 + w*c and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 10 = 3*b. Sort -1, b, 0.\nAnswer: -1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 50647\/4 + 9\/(-12). Suppose -6*n - 5*n = -y. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 745.7557ng?\nAnswer: 0.0000007457557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2760*m - 483. Let i(u) = -5*u + 1. Determine 966*i(c) + 2*o(c).\nAnswer: 690*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**5\/20 + r**4\/4 - 2*r**3\/3 + 4*r. Let m be i(-4). Suppose 5*k + m*k = -14500. What is k rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 432 and 431 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**6\/90 - 112*n**5\/45 - 113*n**4\/18 + 5*n**2 + 48. Solve o(a) = 0 for a.\nAnswer: -1, 0, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -173\/5 less than -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**3 + 2*v**2 + v - 1. Let y be l(2). Let h = y - -19. Let d(u) = -u**3 - 1 - 4*u**3 + h*u**2 - 5*u**2 + 4*u**3. Calculate d(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429775180.\nAnswer: 2, 5, 21488759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - 0. Let g = 167 - 505\/3. Let j be 2 + (-22)\/4 + 2. Which is the smallest value? (a) g (b) j (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -6 + 13 + -15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5978 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2 - 18*k + 15. Let x be (4*1)\/1 + -25 + 41. Let n(v) = v**2 - v. Let q(p) = x*n(p) - 5*u(p). Solve q(j) = 0 for j.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1357 = 342*s - 283*s for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4415.9 - 4416. Let x = -85 + 179. Do x and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-5))\/(2\/10). Let p be 4 + (-9)\/(y + 0). Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12171404 or 12171395?\nAnswer: 12171404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-20 - 2) + (-12800)\/(-20) is divided by 223?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16223, -22091, -31871, -45563, -63167, -84683, -110111?\nAnswer: -139451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 minus 40.56518002?\nAnswer: -71.56518002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 3. Let n = -7 - -1. Let z be x(n). Let s be 1\/3 + 10\/(-66). Put z, 3, s in descending order.\nAnswer: 3, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/((o*o*o**(3\/29))\/o))\/o)\/o**(-3\/8))\/(o*(o\/((o\/((o\/(o*o**18*o)*o)\/o))\/o))\/o)**(-6) assuming o is positive.\nAnswer: o**(-24993\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1650.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 g when four letters picked without replacement from tgyugyg?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -9*k - 2. Let o(w) = w + 8. Let d be o(-4). Suppose -d*c = -0*c - 3*u - 83, 5*c - 106 = 3*u. Let q = c - 26. Give f(q).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554198.\nAnswer: 2, 277099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 310, 464, 620, 778?\nAnswer: 938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*o = 7*o + 35, 2*n + 5 = o. Let j be 15\/20*(5 + -1). Let x be n + j + 0 + 2. Which is greater: x or -2\/15?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110671 divided by 8\nAnswer: -110671\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -26*y**2 - 2. Let i(b) = -3*b + 15. Let w(m) = -m + 6. Let g(x) = -2*i(x) + 5*w(x). Determine g(l(q)).\nAnswer: -26*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -1 (c) 1\/10 (d) 3 (e) -23 (f) 2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-2)\/(-4)*(-6)\/(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, u: 5, w: 3, m: 2}. What is prob of sequence uwm?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**21*x)\/x)\/x**(2\/13) assuming x is positive.\nAnswer: x**(284\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 7*n - 6. Let k be f(6). Let l be 30006\/k - (-1)\/2. What is l rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 361721588 to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -181884 - -102?\nAnswer: -181782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24183, -48372, -72567, -96768, -120975, -145188?\nAnswer: -169407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cchhhhhchhhhhhh. What is prob of picking 3 c?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*10\/(200\/(-15)). Let s(n) be the third derivative of 0*n + 1\/480*n**6 + 27*n**2 + 0 + 0*n**l - 1\/96*n**4 + 0*n**5. Suppose s(w) = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24005\/18 - 2659\/2. Let x = 527\/126 - c. What is the third biggest value in 4, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -50, 15, -4 in increasing order.\nAnswer: -50, -4, 4\/3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7617492*w**2 + 23845613 wrt w.\nAnswer: 15234984*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -319 (base 11) to base 15\nAnswer: -1a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*l + 927 = -51*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3978, 3987, 3996?\n\"Answer: 9*b + 3969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 944384 by 7936.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 1)\/(-2)*-6. Let f(m) = -7*m**3 + 7*m**2 + 7*m. Let j(n) = -14*n**3 + 20*n - 12*n**3 + 13*n**2 + 6*n**3 + 7*n**2. Calculate y*j(w) - 17*f(w).\nAnswer: -w**3 + w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95301?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - -46. Let t = -8 + -23. Let z = m + t. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/(-10))\/(-6)*826\/(-354)?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85517.\nAnswer: 85517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1051 + 1830. List the prime factors of m.\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2511689201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 18*d**2 + 33*d + 13. Give t(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 22*y + 7. Let c be s(-11). What is the highest common divisor of c and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 245455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*d**3*h**2 - 46*d**3 + 4*d**2*h**2 with respect to h.\nAnswer: 36*d**3*h + 8*d**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.101566 days to minutes.\nAnswer: 13106.25504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q = -41*q + 2268. What is the greatest common factor of 90 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from fyfyfnfy?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 + -43. Let o = y - 26. Let l(v) = v**2 + v. Let m be l(0). Solve m = -2*p + 4*p + o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/2 + 5*a**4\/2 - a**3\/2 - 5*a**2\/2.\nAnswer: a**2*(a - 1)*(a + 1)*(a + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**5\/4 - 705*z**4 + 41185*z**3\/4 - 2325*z**2\/2 - 115290*z = 0. What is z?\nAnswer: -3, 0, 4, 14, 549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**2 - 3*q + 3*q)*(-129 + 43 + 224*q + 27 + 41) as w + c*q + f*q**2 + x*q**3 and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 28 = -56. Let b = 11 + r. Is b < -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17915920 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 12, -1\/8, 1\/3, 3.\nAnswer: -9, -1\/8, 1\/3, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**4\/2 - n**3\/3 - 9*n**2\/2 + 17*n + 246. Let x(m) be the second derivative of s(m). Give x(3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5771 - 762?\nAnswer: 5007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3*(-5)\/(-210))\/(6\/708) and (1 + (-10)\/4)*117\/36.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103 - 194. Let f = v + 46. Which is greater: f or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3691 is divided by 310.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -36044 and -36042 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - -30. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 10\/28*2. Suppose 906 = -16377*r + 16075*r. Put r, m, 0.09, -0.4 in descending order.\nAnswer: 0.09, m, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373 + 752 + 242*x - 379.\nAnswer: 242*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**7\/1260 + d**4\/4 + 5*d. Let q(n) be the third derivative of u(n). Let o(t) = 2*t + 0 + 0. Give o(q(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1274) + -2*sqrt(1274) + sqrt(1274))*-6 - sqrt(1274)*2*-4)\/((sqrt(160)*3)\/(sqrt(5) + 6*sqrt(15)\/sqrt(3))).\nAnswer: 98*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -14271*u**2 + 279*u = 0.\nAnswer: 0, 93\/4757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, -7 in decreasing order.\nAnswer: 1, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f - 9*f - 5*f + 26*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - j + 3*j - 3*j)*(j**2 + j**2 - 3*j**2)*(-45 + 20 - 27) in the form m + r*j + i*j**3 + c*j**2 and give i.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 87*a**2 - 80*a + 99. What is the units digit of n(-88)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/580)\/(5210\/(-2606) - -2) - (-996)\/14442?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (198 - (2 + -4)) + 4 + 2 + -6 and 164.\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2184*t - 991533. Determine p(-454).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7362 and 1314?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -5 (b) 2\/7 (c) 0.0828 (d) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/2)\/((-3)\/6). Let h be 102\/(-25) - ((-322)\/(-350) - 1). Sort -8, 1, c, h.\nAnswer: -8, h, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence molo when four letters picked without replacement from olommomlomoooo.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 154982941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -372695 less than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*q + 8*q + 50. Suppose 0 = 3*z + 5*d - 61, 4*z - 10 = 4*d + q. Let r = z + -1. What is the lowest common multiple of r and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iitiwiiiwiiwiyttiy. Give prob of picking 1 y and 2 w.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4918460 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 30*w - 10. List the prime factors of t(13).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 430977793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2216\/1609 or 2?\nAnswer: 2216\/1609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001120331 (base 4) in base 7?\nAnswer: -14121640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*j + 13. Let t be (-226)\/(-7) - j\/21. Is ((-246)\/(-8))\/(12\/t) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -53 - 157. What is the units digit of r\/11 - 22\/(-121)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121 - 113. Which is the biggest value? (a) 1 (b) -3\/5 (c) -0.2 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 9*g. Let o(q) be the third derivative of 5*q**4\/2 + q**3\/3 - 1096*q**2. Calculate o(h(y)).\nAnswer: 540*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 4*t - 2. Let q be r(4). Let x be q\/4 - 6\/4. Let f(v) = v - 5. Give f(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -470450\/11 - 2\/11*m**2 + 1940\/11*m.\nAnswer: -2*(m - 485)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-559)\/(-2))\/((-72)\/(-144)). Calculate the greatest common factor of q and 301.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5688, -11369, -17050, -22731, -28412?\n\"Answer: -5681*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -100011111 (base 2) to base 11\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 >= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 47 = -4*d + 22*d. Solve 4*g = d*b - 11, -3*b = 5*g - 3*g + 19 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, b: 2}. What is prob of sequence bjjb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -131b0 (base 13) to base 8\nAnswer: -105210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 10 = -4*q + 1, 4*d = 4*q - 16 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 3*v - 17 - 22, 615*k = 613*k - 2*v + 42 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1830, 7400, 16826, 30228, 47726, 69440, 95490, 125996?\n\"Answer: 20*r**3 + 1808*r**2 + 6*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*i + 18. Suppose 5*m - 2*k - 252 = 62, i*m + 2*k - 262 = 0. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -8. Let g = -5 + j. Let u = 1 + 0. Calculate the greatest common divisor of g and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - p**2 + p + 2. Is b(2) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/4*(6 - 8). Let t = -55\/8 + b. Which is greater: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/22)\/((-2274)\/(-8338))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 5*g**2 - 13. Let v be a(4). Let j be (-5)\/(-10) + v\/6 - -3. Solve 5*x + 0*x = 15, j*x = 4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.1, 3\/8, 3\/2, -1\/4, 1\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 231.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32918, 32935, 32950, 32957, 32950, 32923, 32870, 32785?\n\"Answer: -k**3 + 5*k**2 + 9*k + 32905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 126, 99, 32, -93, -294?\n\"Answer: -3*r**3 - 2*r**2 + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -0.1. Let d be 4\/3 + (-115)\/1035*132\/10. What is the nearest to n in d, 3, -6\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-6 + -5 + 84\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 + -108. Let d = -31.5 - m. Which is the nearest to 1? (a) d (b) 2\/13 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 12*p**2 - 26831948*p + 17887960 = 0.\nAnswer: 2\/3, 2235995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 10*b - 7. Give k(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -2*p + 7\/9*p**3 + 1\/6*p**2 - 1\/12*p**4 - 1\/15*p**5 + 25. Determine n, given that v(n) = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -12*y**3 + 13 - 3 + 12*y - 1 - 6*y**2 - 5*y**4 + 2*y**4 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -370418 by -185209.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42e1e (base 15) to base 11.\nAnswer: -135668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -298613 * 0.5.\nAnswer: -149306.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 43000*j. Let f(p) = 16*p. Determine f(s(u)).\nAnswer: 688000*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6365312.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*t - 4614110, 6*n + 5*t = 7*n + 1538065. What is n rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h - 4. Let i be u(5). Solve 6 = p - 2*p + k, -p + 3*k = i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-12))\/((-405)\/7776).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3a02d + -71?\nAnswer: -3a0a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/7))**(-11\/4) assuming z is positive.\nAnswer: z**(-99\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (2 - 3) + (-9 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -1.6088.\nAnswer: -12.8704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -15*j - 33. Suppose -4*k + 3*w = 132, 46 = -3*k + 5*w - 53. Let v(q) = -q - 2. Let b(d) = k*v(d) + 2*z(d). Let u(p) = -5*p. Give u(b(m)).\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 171 + -174. Is (1 - w) + -5 + (2610 - 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2792407 litres in millilitres?\nAnswer: 279.2407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(-1) + 61 + 6 is divided by 48.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**4*u**2 + 1071*h**4*u + 2*u**2 + 40313*u - 2 wrt h.\nAnswer: 4*h**3*u**2 + 4284*h**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + 4. Let v(j) = 2 + j + m*j**3 + j - 29*j**3. Let q(k) = -5*k**3 - 3*k - 3. Give -2*q(w) - 3*v(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k**3 - 8*k**2 - 232*k - 4. Let n(w) = w**3 + 2*w**2 + w + 1. What is -g(i) - 4*n(i)?\nAnswer: -10*i**3 + 228*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.08 - 10.85. Let j = d - 0.23. Suppose 4 + 0 = -4*v. Which is the biggest value? (a) v (b) j (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2243313 (base 5) in base 2?\nAnswer: 1001111000001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(3087) - sqrt(3087)*-1 - sqrt(3087)))\/(2*(-1*sqrt(18))\/sqrt(2))*-6.\nAnswer: -126*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + 4*g**3 + 5 - 18*g + 14*g**3 - 3*g**2 - g**2.\nAnswer: 2*(g - 1)*(g + 1)*(9*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1049935?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -13 * 2\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 13902261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 626156677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5236, -5219, -5190, -5149, -5096, -5031, -4954?\n\"Answer: 6*h**2 - h - 5241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 667681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1187.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -467 - -3741\/8. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12982, 23446, 33922, 44416, 54934, 65482, 76066, 86692?\nAnswer: 97366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 1 - 7 + 300*x**3 - 278*x**3.\nAnswer: 22*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 961376535.\nAnswer: 3, 5, 7, 19, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1151216 + -12?\nAnswer: 1151204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 f, and 2 t when four letters picked without replacement from fffttfffbtbftt.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20338967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -221049.553 to the nearest one hundred.\nAnswer: -221000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z - 12 = 8*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -1, -1.1, 1\/5?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 74.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 484 divided by -11.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.105 to zero decimal places.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(6\/7)*(o\/(o\/(o\/o**(-1\/21)))*o)\/o)**(33\/2) assuming o is positive.\nAnswer: o**(220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*v, 3*v - 5 - 1 = -3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 172580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000082741 to seven dps.\nAnswer: 0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 37?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f + f**2)*(2*f**2 - 2*f**2 + f**2) - 1681*f - 10*f**4 + 10*f**4 - 13*f**4 + 19*f**4.\nAnswer: 7*f**4 - 1681*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 5:01 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114823 is divided by 16313?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 20*v - 3. Let a be x(-11). Let f = a + 666. Suppose 4*b + 10 - f = 0. What are the prime factors of b?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9451+5807\nAnswer: 5805.0549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 4*b**2 - 9*b - 10. Let k = 0 - -5. Suppose -j + 5 = -k. What is the least common multiple of o(6) and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10758449267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 5:28 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -996, -8004, -27092, -64320, -125748, -217436?\n\"Answer: -1010*s**3 + 20*s**2 + 2*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 363*k**4\/20 - 33*k**3 + 72*k**2\/5 - 12*k\/5 - 2. What is w in a(w) = 0?\nAnswer: 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/108 and -59\/10.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 111*j + 29. Is w(3) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.362 - -0.362. Let n = -613\/5 - -122. Let y = -182 + 2004\/11. Which is the nearest to w? (a) n (b) -0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + g - 3. Let h be m(3). Let t be (-1 + 7)*(-3)\/h. Let d(k) = 2*k**2 - k + 1. Does 8 divide d(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -88, -0.5, 0.02, -0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2212 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30258 and -2327?\nAnswer: 70410366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dedd when four letters picked without replacement from ddeededd.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 18*j - 503. Let s be c(15). Let u(m) = m**3 + 9*m**2 + 6*m - 10. Give u(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 69\/(-63)*3 + 3. What is the nearest to z in 4\/7, -0.5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17508\/14 - -4*(-39)\/(-364).\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4 = -c, -4*d + 3*c + 4 = 0. Suppose 0 = 18*f - 1071 + 765. Determine o, given that 9*o**d + 3*o**3 - 23*o**4 + f*o**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1896.786um?\nAnswer: 0.000001896786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 12 = -u. Let y be 224\/10 - u\/5. Suppose f - y = 1047. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -22. Let l = r + -9. Let g(p) = p**3 + 5*p**2 + 3. Let y be g(-5). What is the third biggest value in -2\/5, y, l?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -255994, -255907, -255762, -255559?\n\"Answer: 29*l**2 - 256023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 96?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 17*n**2 - 18*n + 16. Calculate o(16).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/1*-1 - 9\/(-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -416369 rounded to the nearest 1000?\nAnswer: -416000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**31\/u**(-2)*(u*u*u**4*u*u)\/u**1 assuming u is positive.\nAnswer: u**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-77)\/(-21) + -1 + 4\/3. Suppose -938 = -5*m - u*i, 4*i - 50 = -m + 144. Let x be 4\/22 - m\/(-66). Sort -5, -1, -4, x in ascending order.\nAnswer: -5, -4, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 0)*(236*c**3 + 219*c**3 + c**4 - 49*c**3) to w*c**3 + n*c + l + z*c**2 + o*c**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*1\/108*21\/((-378)\/(-12)).\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 85 = -w, -y + 31 = 1270*w - 1273*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 35*s**2 + 67*s - 26. Let t be f(33). Let h(q) = q + 2. What is h(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 936 - 342. Suppose 14*n - 20*n = -s. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3925 greater than 3924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((sqrt(6300) - (sqrt(6300) + 2*sqrt(6300))) + 0)*-3 - -4*(1 + sqrt(6300)*-2)))**2.\nAnswer: -1920*sqrt(7) + 100864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -247826, -495607, -743388, -991169?\n\"Answer: -247781*c - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4363509*n - 2. Let v(l) = 2*l. Determine v(g(o)).\nAnswer: 8727018*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2069*h**2. Let q(o) = o**2. What is d(q(p))?\nAnswer: -2069*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1258*(4 + (-98)\/28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9959.01 decades in months?\nAnswer: 1195081.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + p + 19, 0*p + 14 = c + 4*p. Let n = c - -6. Solve n = -y + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43819*t + 40*t**3 - 87649*t + 43824*t.\nAnswer: 40*t**3 - 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*d**2 - 1 + 8293*d + 8330*d - 1 + 8305*d - 24928*d.\nAnswer: 20*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26315 and -53.5?\nAnswer: 1407852.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122920*k**3 + 61456*k**3 + 61465*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y - 8669. Let p(t) = -86*t. Calculate j(p(b)).\nAnswer: -258*b - 8669","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/42)\/((-29)\/(-8) + -4). Let q be 2\/(-10) - 9\/5. Which is bigger: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, s: 2}. Give prob of picking 2 s and 2 i.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -33 + 3. Solve 2*a**2 + a + u*a - 5*a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2825, 2793, 2727, 2609, 2421, 2145, 1763?\nAnswer: 1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2952877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/5)*q)**10*(((q*(q**(-6)*q)\/q)\/q)\/q)\/(q\/(q*q**6)) assuming q is positive.\nAnswer: q**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 3 - (-10)\/5. Let k(b) = 1 - 2 - 2*b**2 - 19 + m*b**2. Determine k(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k + 334*k + 20020 = -291*k + 182*k for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5386 is divided by 1072?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8145, -2, 6, 0.3, 1, -10, 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*z - 0*z. Suppose 3*n - 2 = 4*n. Let a be 9\/(-1) + 3 - n. Sort z, 1, a in decreasing order.\nAnswer: z, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (69413*o**3 - 1686188 + 1686188)*(-1 - 2 + 1) to j + q*o**2 + h*o + u*o**3 and give u.\nAnswer: -138826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6596407 + 3298206 + 3298201 + d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 13.268.\nAnswer: 8.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2699 - 1625. Suppose -f = 3*u - 4125. Let i = u - 1747. Round i to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + -1 - (-8 - -5). Suppose d = 3*q - 3 - 3. Let m be 1\/(-6) - (-26)\/12. Is m at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11957, -11963, -11969, -11975, -11981?\n\"Answer: -6*f - 11951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 + -52. Let f(l) = -l**3 - 5*l**2 + 4*l - 11. Let s be f(-6). Suppose -w + s = -g. Solve -4*o - 7 = w*c + 3, 3*o + 3 = 3*c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 10*x + 73. Let u be j(5). What is the smallest value in 3, 6.8, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmsjmjszszszjjsjszm. What is prob of picking 4 j?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -719488, -719494, -719512, -719548, -719608?\nAnswer: -719698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -16*w - 3. Let d(q) = -83 + 15 + 15 + 54. Give -6*d(h) - y(h).\nAnswer: 16*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142434442 (base 5) to base 8.\nAnswer: -2667474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217, -431, -643, -853, -1061?\nAnswer: -1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510 - 656 = -106*n - 0 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(950) - (sqrt(950)*-1 + sqrt(950))))\/(-6*sqrt(2)*-3*4)*-3.\nAnswer: -5*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -917*q**3 - q + 314*q**3 + 301*q**3 + 297*q**3.\nAnswer: -5*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16366 + 1?\nAnswer: -16365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 114728 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 g(d) = -6*d**3 - 2*d**2 - 3*d - 2. Let q be g(-1). Suppose -6*a + 3*n = -5*a - 1552, q*a - 3*n - 7772 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31258*y**3 - 51801*y - 2 wrt y.\nAnswer: 187548*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 4*f + 5913 = 5908, -5*s - 3*f + 25 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*s = -2, -5*p - 26 = 6*s - 2*s. Let t(k) = 2*k - 7. Let n be t(5). Let j = n - p. What is the greatest common factor of 45 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 = -6*m. Suppose -5*l = m - 6. Let z be l*(-1)\/(-2)*10. Solve h = -z*a + 15, 5*a = h + 36 - 11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in millimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*f*t*u**3 - 10*f*t + f*u**3 + f*u + 58*t*u**3 + u**3 - 48 wrt t?\nAnswer: -8*f*u**3 - 10*f + 58*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005722725221 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -24, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/(-4)*24\/30. Let h = 4 + o. Sort -5, h, 5.\nAnswer: -5, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18439*m + 344 - 143 + 2592*m - 201 to q*m + i and give q.\nAnswer: 21031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 (base 9) in base 6?\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 2)\/((-3)\/(-9)). Suppose 0 = -2*o - n + 10, -o + 8 = 2*o + 5*n. Let j = q + o. Which is smaller: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 848339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 8:30 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i. Let r be 10 - (4 + 0 + -4). Let h(k) = -r*k + 23*k - 36*k. What is d(h(v))?\nAnswer: 46*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 50*z**2 - 10*z - 3. Let o(j) = -49*j**2 + 10*j + 4. Let v(h) = -3*a(h) - 2*o(h). What is the second derivative of v(c) wrt c?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/(-65))\/((-82)\/(-533))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -17\/2596762?\nAnswer: -17\/2596762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + -1. Let r be (0 - 3\/42)*w. Which is the nearest to r? (a) -0.4 (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z - 40*z = -28*z - 108 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*p + 13*p + 4*p**2 - 3*p to x*p**2 + c + z*p and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 69463 divided by 2503?\nAnswer: 69463\/2503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*p**2 + 17*p**2 - p**4 + 66 - 28 - 2*p**3 - 10 - 29 + 178*p as t + x*p + a*p**4 + o*p**2 + l*p**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and 716783.\nAnswer: 7167830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (0 - -2)) + -20.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggg. Give prob of sequence ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 10 + 45. Let t(s) = s**2 + 3*s - 1. Let v be t(p). Find the common denominator of (v\/(-30) + 1)*-6 and -51\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -34*v + 282. What is i(6)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -346, -1404, -3170, -5644, -8826, -12716?\nAnswer: -17314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**3\/15 - 126*k**2\/5 - 508*k\/5 + 1959. Factor r(f).\nAnswer: (f - 254)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -1 - 1. Let d = 3 - 11. Let p be (2\/2)\/((-4)\/d). Solve 5*g = -t + 18, -p*g - 8 = -5*t + y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r**4 + 4*r**3 - 4*r - 10. Let p(d) = 12*d**4 + 9*d**3 - 9*d - 21. Let t(i) = 4*p(i) - 9*y(i). Find the first derivative of t(f) wrt f.\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/6*2*-1. Let d be (-19)\/(-7) + (-2)\/c. Suppose h + d*h = -4*w, h = -2*w. Is 1\/10 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 25, -2, -17\/4, 0.0004?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18336582 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 30. Which is the closest to 0? (a) l (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.04, 4\/9, -179838, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 u, and 1 s when four letters picked without replacement from {d: 2, s: 1, k: 1, u: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2007257*g**2 - 2*g - 13203458.\nAnswer: -4014514*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9530 + -6369. Does 179 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 10091*g - 80778. Determine c(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.789401um in nanometers?\nAnswer: 5789.401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -55 (b) -0.5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.02059 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 22420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.045 + -0.445. Which is the biggest value? (a) 5 (b) h (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 33 = 3*j + s, 2*j = -3*s - 29. Let a = j - -16. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 9:57 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 288274577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5*p = 60, -3*b - 62 = 2*b - 3*p. Let j = -8 - b. Let q(x) = -6*x**2 - 5*x - 5. Let o(m) = -5*m**2 - 4*m - 4. What is j*o(l) - 4*q(l)?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1837 + 3157. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -91790 and -11.\nAnswer: -91801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 466606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16, 4, -1, 4.7, -2\/77?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/16383, -4, 5, 9, -1\/4, -6\/7, 0.1?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 164\/(-246)*1*-3. Solve -q*l = 381 - 373 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84623.\nAnswer: 7, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -3*d**2\/2 - 4*d - 3. Let s(g) = g - 4. Let u be s(0). What is the units digit of t(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 715 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**6\/120 + h**5\/15 - h**4\/6 - h**3 - 22*h**2. Give r(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**4\/16 - 10*n**3\/3 - 83*n**2\/8 - 21*n\/2 - 1645. Factor w(s).\nAnswer: (s - 42)*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 5*x + h - 17, -h + 15 = x. Calculate the lowest common multiple of 18 and x.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-2) + ((-513)\/18)\/19\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.2, 5, -0.5, -67, 0, -5\/34?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65343 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: Sort -20, -2, -596 in ascending order.\nAnswer: -596, -20, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 8:00 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w*w**(-1\/4)))*w**(3\/2))\/(((w**(3\/2)\/w)\/w)\/w**3)*(w\/(w**(-3)*w*w)*w*w**(-2)*w)**(-14\/3) assuming w is positive.\nAnswer: w**(-31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -12210002?\nAnswer: 12210002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01048324821 to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*f - 10*f + 13*f in the form z*f + w and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/y**(-2))\/y*y)\/y**(-3\/4))\/(y\/y**(-1))**(-29)*(y\/(y**(-9)\/y)*y*y**(-3))**(-41\/3) assuming y is positive.\nAnswer: y**(-241\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -6. Let q = 14 + n. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 0, w - 2*x = -6*x + 2. Suppose -2 = w*r + 2. Sort 3, r, 1 in decreasing order.\nAnswer: 3, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*z + 22*z**2 + 20*z + 20*z**2 - 38*z**2.\nAnswer: 4*z**2 + 38*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15044 and 270792?\nAnswer: 270792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**6\/42 + 4*i**5\/35 - i**4\/7 - 2*i**3\/21 + 5*i**2\/14 - 2*i\/7 - 25. Factor w(v).\nAnswer: -(v - 2)*(v - 1)**3*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2391330.\nAnswer: 2, 3, 5, 79, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -9\/2*n**2 + 11\/6*n**3 + 0 + 10*n. Differentiate a(j) with respect to j.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 37*w = 162. Suppose 2*m - 962 = -5*j, 0 = -w*m + m + 4*j + 2438. Does 18 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = b - 7, -2*b + 18 = -4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Let w be 3*-2*(-3)\/(-42). Which is the third biggest value? (a) 0.4 (b) g (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*c + 1255, 14*u + 1260 = 9*u - 4*c. Let r = u + 385. List the prime factors of r.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**5\/4 + 5*p**4\/4 - 5*p**3\/3 - 55*p. Solve h(m) = 0 for m.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -5. Let o(c) be the second derivative of c**5\/20 + 5*c**4\/12 - 2*c**3\/3 - 2*c**2 - c. What is the remainder when o(-3) is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 176.186077 to two decimal places.\nAnswer: 176.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 449376?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -845, -1692, -2553, -3434, -4341, -5280, -6257, -7278?\nAnswer: -8349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 6 = -g, 0*g - q = g + 3. Let w = g + 4. Suppose -2*j = 3*d + 13, -w*j - 2*d = -3*d - 7. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 238 + 14*h + 218 + 2.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 (base 14) in base 2?\nAnswer: -1101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14976463273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08 + 2.28. Let f = r + -2. Let k = -4.93 - 0.07. What is the nearest to f in k, -0.4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6*(13 - 1). Suppose -23 = -4*l + 3*j - 8, -20 = 2*l + q*j. Suppose l*d + 2*d = s + 48, -5*s = 0. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -12*a**2 + 6*a + 20. Let l(q) = 7*q**2 - 4*q - 14. Let j(g) = -5*i(g) - 7*l(g). Let n(u) = -44*u**2 + 9*u + 9. Calculate -9*j(c) - 2*n(c).\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 8*t + 4*t - 52, 0 = -3*h - t + 104. Calculate the lowest common multiple of 6 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4537569.6 milliseconds?\nAnswer: 1.260436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 3*v + 6. Let j be t(5). Suppose 0 = -4*y - j, -y = 5*i - 9 - 7. Suppose 0 = -3*m - i + 10. Which is smaller: m or 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/48 and -2\/62256051?\nAnswer: 996096816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 303200321 (base 4) to base 2\nAnswer: 110011100000111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/((x\/(x\/(x\/(x\/(x**24*x))))*x*x*x)\/x))\/((x*x*(x*x\/(x**12*x))\/x)\/x)*(x**(-10\/9)*x*x)\/((x**(6\/5)*x)\/x))**(-1\/35) assuming x is positive.\nAnswer: x**(92\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/9)\/((-4)\/(-226311)). Let w = -6272 - x. Let f = w + -44\/3. Which is the second smallest value? (a) 5 (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/10 of a hour?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*w = -162, -h = 2*h + 4*w - 289. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 162? (a) 2\/9 (b) 6 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbp when three letters picked without replacement from bbpbbbbbpbpppbppppp.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/75 and -64\/3.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-2 - (-2 + 1 + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9890227843.0000357 + 9890227223. Let v = -620 - p. What is v rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118531027?\nAnswer: 131, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 12*f + 9. Calculate p(10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-1) - (-168 + 160)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 1303.5?\nAnswer: 521.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1739232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033943 a multiple of 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15602388 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: Calculate 13 + 2 - (-9 - (4 + -13 + (11 - 11))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-four fifths of a gram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 6 + 182*d + 9501*d - 6 + 0 in the form o*d + h and give o.\nAnswer: 9683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14273, 25009, 35755, 46517, 57301, 68113?\nAnswer: 78959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 112212101 (base 4) in base 6?\nAnswer: 1552305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1780*y**4 - 13*y**3 + 25312*y**2.\nAnswer: 42720*y - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 10*f**3\/3 + f**2 + 2*f + 1. Let z(k) = -5*k**2 - k - 1. Let m(p) = 4*i(p) + 7*z(p). Is m(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighteenths of a day in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31030211002 (base 4) to base 3\nAnswer: -20111202101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -7*u + 25. Suppose 3*k + 0*q = 2*q + 6, u*k = -3*q - 9. Find the third derivative of k*s**3 - 3*s**4 - 5*s**3 + 5*s**3 + 14*s**2 wrt s.\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -189*k**2 - 169*k**2 - 223*k**2 + 97*k + 541*k**2 to a*k + b*k**2 + r and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12414 (base 7) to base 3\nAnswer: 11112000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, -2\/3, 0.1, 0.33, 11, -1\/3, -10?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 9*r**3 - 34*r**2 + 3*r + 7. Let n(w) = 4*w**3 - 18*w**2 + 2*w + 4. What is 4*m(d) - 7*n(d)?\nAnswer: 8*d**3 - 10*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 15*k**3 - 13*k**2 - 15. Suppose 5*d + 5*u - 15 = 0, 2*d + 28*u = 25*u + 3. Let o(r) = -8*r**3 + 7*r**2 + 8. Give d*m(t) + 11*o(t).\nAnswer: 2*t**3 - t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*f - 8 - 3, -k = -2*f - 2. What is the remainder when 121 is divided by (0 - k)\/(4\/(-64))?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, a: 9}. Give prob of sequence att.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = m + 12. Suppose m*g - 66 = 34. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/sqrt(54) + sqrt(143)\/(sqrt(11)*-1).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = g + 4, 0 = -4*i - g + 2*g - 36. Let c = i - -7. What is the third biggest value in 2\/3, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6130324 is divided by 647?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + (4\/(-2) - -3). Let q = 7 + w. Suppose 30 = -q*d + 6*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkjkiuuidjdd. Give prob of picking 1 k and 1 i.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1008)*2 + sqrt(1008))\/sqrt(9))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 190*z**3 + 675*z**2 - 1377*z - 12. What is b(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 713492407 and 16882.\nAnswer: 8441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -3. Let k be 3\/2*(h + -1). Suppose -k*r = 5*p - 9 - 316, p - 109 = -r. Calculate the highest common divisor of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*j - 116 = -5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-39) + 108\/26. Suppose -4*z - 2*c = -8*z + 28, c = -m. Solve 2*a + 15 = z*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9*p**3 + 12*p**2 - 11*p + 49. Is j(6) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkknknnknnknknnnk. What is prob of picking 2 n and 1 k?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -226\/11 in 1\/8, -4, -3\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4) + -2)*(-2 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1202 - -3311333?\nAnswer: 3313201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 0 - (-6)\/(-6). Suppose 0*x - x + 1 = n. Which is smaller: x or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -13166\/9 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.695604*-6.\nAnswer: -100.173624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 14 = 24. Suppose -2*u - 5*j + 411 = 0, -v*u = -u - 2*j - 834. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46520 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 8.52 and 0.01496.\nAnswer: 8.53496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*o - 4*s + 3, 5*o - 11 = -s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -501028 (base 9) to base 6.\nAnswer: -10202212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-62)\/(-6) + (-4)\/3. Let l(w) = 6*w - 1 + h*w + 1. Let k(m) be the second derivative of -m**4\/6 - 6*m. What is l(k(b))?\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 5:31 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ollm when four letters picked without replacement from {x: 2, l: 7, o: 4, t: 2, m: 2}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 196161 (base 11) in base 8?\nAnswer: 1113702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*((5*g - 6*g + 2*g)*(4 - 4 + g) + 6*g**2 - g**2 - 4*g**2 + (-5 + 6*g - 8*g + 3)*(6*g - g - g)).\nAnswer: -6*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = -0*j. Let y = 2 + j. Let t(w) be the second derivative of -w**3\/6 - 2*w + 5262. Let f(i) = 4*i + 3. What is y*f(s) + 2*t(s)?\nAnswer: 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + s**2 + 12. Let n be h(0). Let d(f) = -n - 1 + 12 - 130*f. Let l(m) = -2*m**2. Determine l(d(v)).\nAnswer: -33800*v**2 - 520*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12669691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/t**3))**(-38) assuming t is positive.\nAnswer: t**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 517479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 5*y. Suppose x + 5*p - 26 = 0, -x + 3*x - 2*p + 8 = 0. Let b(t) = -t. Let n(v) = x*w(v) - 2*b(v). Let f = -8 - -4. Determine n(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/7, 8\/41, -4, 1.1642, 1 in descending order.\nAnswer: 1.1642, 1, 8\/41, -2\/7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -8 + 3. Let r = 1 + t. Find the third derivative of -2*w**r + 3*w**3 + 3*w**2 + w**3 + 0*w**3 wrt w.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 836197 is divided by 167?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4 = -3*q, 2*q + 3*q = 2*g + 25. Differentiate 3*r + 8*r**2 - 3*r + q + 0*r wrt r.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.58 - -0.42. What is the nearest to 2 in n, -0.7, 3, -4\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 93*w - 375. What is s(13)?\nAnswer: 834","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26755.\nAnswer: 5, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -0.1153342802403.\nAnswer: -4.1153342802403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 29 = 4*u, 6*u - 10*u = -2*p - 14 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 3 - 1)*(-18*z**3 - 6*z**2 - 18*z**2 - 3*z + 25*z**2) in the form l + q*z + d*z**2 + v*z**3 and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 1. Let t(o) = -o**2 + 6*o + 6. Suppose 3*y = 4*v + 13, -26*y = -25*y - 2*v - 7. Determine y*t(p) - 6*g(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9003 is divided by 933.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 10:43 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 12*o**2 - 2*o - 19. Let x be p(-12). Suppose -3*w + 73 = 5*m - 1386, 4*w = -x*m + 1462. What are the prime factors of m?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 5*a**5\/6 + 265*a**4\/24 - 105*a**3\/2 - 1724*a**2. Determine y so that o(y) = 0.\nAnswer: -63\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.24 - -17.24. Let x = -21 + c. Let m = 2 - 5. What is the second smallest value in 2\/9, x, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*d**3 - 32*d**2 wrt d?\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-702)\/585)\/(1\/20)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggxxggoxgo. Give prob of picking 2 o.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -415, -661, -1321, -2599, -4699, -7825, -12181, -17971?\n\"Answer: -34*i**3 - 3*i**2 + i - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 160 - 11*v - 16*v - 160 to the form g*v + l and give g.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 100 (b) -6 (c) -0.1 (d) -7\/4 (e) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1118, -1230, -1342?\nAnswer: -1454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h - 5*h - 2*h + 1284 - 1284.\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2368 = -16*y + 3072. Calculate the remainder when 1536 is divided by y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -5, -0.276?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -11 (b) -5\/2 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 3*z - 2. Let p be c(-1). Solve -3*w + 0 + 15 = p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 221*t**7\/35 + 2777*t**5\/60 - 1485*t**2. Find the third derivative of r(h) wrt h.\nAnswer: 31824*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96222802.300159 - -96222842. Let h = -114.6 - -74.9. Let m = h + x. Round m to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4\/x)**(-9\/8) assuming x is positive.\nAnswer: x**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 6*s + 21. Let v be h(-9). Let z be v\/(-14) + 38\/14. Do z and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68142 divided by -2\nAnswer: 34071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 7 = 3*x - 5*w, 5*x - 19 = 2*w. Suppose -5*v = 4*u - 1, 7*u - x*u - 2*v - 22 = 0. Solve -u*n - n - 15 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -393900 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10899866*h*i*p**2 + 2814923*h*i wrt p?\nAnswer: -21799732*h*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 4. Let u(h) = 23*h + 15. Let t(z) = 2*l(z) + u(z). Give t(3).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 + 4*n**2 + 7*n + 1. Let z be i(-2). Suppose 12364 = z*c - 15*c. Let b = c - 2014. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 16 + (5 - 1). Let o be (i\/(-50))\/((-2)\/(-530)). Round o to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2371406*m**2 - 13957*m - 7 wrt m?\nAnswer: 4742812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 4*z - 18. Calculate g(10).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 14, u: 4}. Give prob of sequence uun.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -114 - 225\/2*l**2 - 3\/4*l**3 + 909\/4*l.\nAnswer: -3*(l - 1)**2*(l + 152)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence maey when four letters picked without replacement from mmmyyymyeymmemam.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -4*y - 3*m + 5, -4 = -y + 2*m. Find the third derivative of 2*b**2 + b**3 + 4*b - 3*b**y - 4*b wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 46*t + 1. Suppose j - 2 = -j. Does 18 divide q(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvv when three letters picked without replacement from vjjjvvvjvjvv.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4243082436 divided by 6.\nAnswer: -707180406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 558 = -0*y. Let c = -53 - y. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/3 in 1\/9, 0.4, -2, 13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*((-1225)\/(-20))\/(-7). Let l = q - -41\/4. Determine o so that 5*o**4 + 0 + 6*o**3 + 1\/2*o + l*o**5 + 3*o**2 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -278.\nAnswer: 277.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 0\/(-3) - 1. Let s be (-1)\/(-4)*(0 - n). Let w = 9 - 12. Which is the closest to s? (a) -2 (b) w (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(252) + ((sqrt(35) - sqrt(140)\/sqrt(4)) + sqrt(35))\/sqrt(5) - (sqrt(14)\/(sqrt(2) - ((sqrt(200) - sqrt(200)*2) + sqrt(200))) + -1))**2.\nAnswer: -48*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/4 - 27.\nAnswer: 3*(p - 6)*(p + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 43872 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299784 is divided by 2221?\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-25))\/(1\/((-10)\/4)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.687197 rounded to 1 dp?\nAnswer: 10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 51*b + 583. Let t be y(34). Let 3\/2*l**t - 3\/2*l**4 + 0*l + 3\/2*l**2 - 3\/2*l**3 + 0 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*c + 5. Suppose -x = c*x - 21. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*l - 30. Let y = 19 - l. What is the second derivative of -p + 3*p + p**y + p**4 wrt p?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -36. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/(-7) + 10\/(-35). Let o = -3.2 + 3.3. Which is the closest to o? (a) x (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -1436*l**2 - 18*l - 778. Let f(p) = 359*p**2 + 4*p + 195. Let s(j) = 9*f(j) + 2*y(j). What is the first derivative of s(w) wrt w?\nAnswer: 718*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1990 and 8360?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*l = 16. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a89 (base 13) to base 4.\nAnswer: 3222021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1, 1022, -23975\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1207211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -2\/41, -16?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2. Let o(w) = -7*w**2. Let g(r) = -6*b(r) + o(r). Let h(c) = -5*c. Determine g(h(m)).\nAnswer: -325*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 8)*(-1501)\/76. Let m = l + 159. Let q = -55\/2 - -83\/3. Is q <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515\/109666 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17\/64 + -717\/832. What is the common denominator of -33\/2 and c?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*d**3 - 38*d**3 + 3*d**3.\nAnswer: -59*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 50*v**2 - 242*v - 561. What is z(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5487921, -10975752, -16463571, -21951372, -27439149, -32926896?\nAnswer: -38414607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 15432291*t + 30864578.\nAnswer: (t + 2)*(t + 15432289)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8*(6\/(-4) + 2). Suppose -5*x = -20, 2*m - 2*x = 2*x - 6. Sort u, m, 3 in ascending order.\nAnswer: u, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41891411 rounded to 3 dps?\nAnswer: 0.419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -320\/211 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/154*-11)\/(39\/(-403)*1).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1343.\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -499, -509, -519, -529, -539?\n\"Answer: -10*j - 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 7*q**2 - 7*q + 1. Suppose 0 = -0*h + 4*h. Suppose 11 = -h*p + p. What is the remainder when p is divided by v(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1210 - -1240. What is the remainder when 141 is divided by b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 2*k**3 - 75*k - k**3 + 399*k - 112*k - 108*k - 115*k.\nAnswer: -k**3 - 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -5 (c) 0.029\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.58172 - 0.43058. Round x to 1 decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5506 (base 7) to base 10\nAnswer: 1966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*b + 3*v - 0, 24 = 4*b - 4*v. Let r be b + 0\/(1 + 2). Solve z - 6 = -r*x + 13, -3*x - 2*z + 23 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*f + 6. Suppose -1 = -p + h - 11, -p - h - f = 0. Let u be (p\/15)\/(2\/(-50)). What is the highest common divisor of 40 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 276501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6175*d + 3730. Is s(4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4 - 30 = 4*j, 5*l = -j - 1. Let b = j - -22. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(1\/2))**(-1\/3)\/(j**6*j\/j**(-1)))**(-22) assuming j is positive.\nAnswer: j**(539\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.08 - -0.08. Suppose -5*j - 691 = 524. Let m be (-2)\/5 + j\/(-45). Which is the smallest value? (a) m (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -266705300 to the nearest one hundred thousand.\nAnswer: -266700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*m*x**4 + 44*m*x**3 + m*x - 974*x wrt x.\nAnswer: -96*m*x**2 + 264*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from jiieeeziiiipijjpejsz.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.1669 and 0.4?\nAnswer: 1.7669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -119 - -901. Calculate the common denominator of 18\/(-45) + (0 - q\/120) and -56\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-370)\/16*(-16)\/480 + -3 and -59\/33.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 5*n + 20, 255025*l + n - 6 = 255021*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1088350 is divided by 22211.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13740 + -302381\/22. Find the common denominator of l and 51\/77.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -5) + (675 - 666 - (66 + 1 + -2))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trt when three letters picked without replacement from rrttqqtrtrr.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 19.361*-0.2\nAnswer: -3.8722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -361b161 (base 12) to base 14.\nAnswer: -1571305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 46, -0.001, 2383 in decreasing order.\nAnswer: 2383, 46, 5, -0.001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 119*u**5 + u**4 + 3753*u**3 - 3546730*u**2.\nAnswer: 7140*u**2 + 24*u + 22518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1657 or -1659?\nAnswer: -1657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**2\/5 + 4391913*b\/5 + 8783838\/5 = 0. Calculate b.\nAnswer: -2, 1463973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 4*x - 3, 2*r + 2992 = 7*x + 2989 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l - 50*l - 1325 = -118*l for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1265 divided by -222.\nAnswer: 1265\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, -5, 4, -3 in decreasing order.\nAnswer: 67, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 215076, 215008, 214894, 214734, 214528, 214276, 213978?\n\"Answer: -23*h**2 + h + 215098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 16 = 2*k - 0*t, 0 = 2*k + 3*t - 15. Suppose -3*m - k = -4*m. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyd when three letters picked without replacement from ndndyjdjndynn.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1138033, -2276061, -3414089, -4552117, -5690145, -6828173?\n\"Answer: -1138028*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1433, 2869, 4315, 5777, 7261, 8773?\nAnswer: 10319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 4 - 4)*(j - 1 + 1) + 21*j + 345 - 345)*(-2 + 2 + 3*j).\nAnswer: 69*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 22*b - 21*b, 5*b = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 30375680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 15 = -4*c - 5*l, -l = -3*c + 10. Suppose 0 = 10*i - 9*i + c*n + 1, -3*n = -3*i + 33. Solve 7*p = -i + 16 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25737946, 25737944, 25737942, 25737940, 25737938?\nAnswer: 25737936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*o - 2*o - 3*t, -2*t - 30 = -4*o. Suppose o*m = 3*m + 100. Calculate the remainder when 37 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -524*p**4 + 65 + 1045*p**4 + 2*p - 522*p**4 in the form n*p**2 + z*p**4 + c*p**3 + a + x*p and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*d + 73 - 223 + 71 + 76.\nAnswer: -334*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/24)\/((-3)\/9*-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 353 - 2463\/7. Let t(r) be the first derivative of 40\/7*r**2 - 3 - v*r - 78\/7*r**3 + 81\/14*r**4. Solve t(h) = 0 for h.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d**2 + 23*d + 1. Let l(h) = 3*h**2 - 11*h - 1. Let v(f) = 9*l(f) + 4*z(f). Determine v(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126522 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 501436 and 1?\nAnswer: 501436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3768*w**5 - 347*w**4 + w**2 + 64972286*w wrt w.\nAnswer: -75360*w**3 - 4164*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - d**2 + 8*d - 7. Let o be j(1). Do 58\/79 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 929869524 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -138, 4, -2, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 5*m**2 - 2*m + 5. Let b be r(-4). Let v = 5 - b. Let n = -6 + v. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 4*s - s)*(4*s + 4*s - 4*s)*(9*s**2 + 0*s**2 - 3*s**2).\nAnswer: 24*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1)*t**(-20\/7)*t*t**(6\/7)*t*t*t*t**(-6)*t assuming t is positive.\nAnswer: t**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 9374.79139 to the nearest integer.\nAnswer: 9375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/495 and 137\/60.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -5*h**3\/6 + 9*h**2\/2 - 4*h + 56. Calculate p(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012791151 to six dps.\nAnswer: -0.012791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2341 is divided by 41?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/10*16\/(-5). Let w be 5\/((-45)\/2) + d\/(-18). Factor -w*p**2 - 2\/9*p + 0.\nAnswer: -2*p*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - 3*i**2 + 4*i**2 + (-i**2 - 2 + 2)*(0 + 4 - 3) - 3 + 3 + 2*i**2 + 612*i**2 + 1605*i**2 - 178*i**2 in the form r + z*i + s*i**2 and give s.\nAnswer: 2042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/126 + (-176)\/84. Let u = -2 + 2. Put -12, p, 4, u in decreasing order.\nAnswer: 4, u, p, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 417 divided by 417.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295642 is divided by 74?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 734418 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28637*b**2 - 11*b - 553.\nAnswer: 57274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43283 or 43282?\nAnswer: 43283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -1210022000100?\nAnswer: -1210022000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-45)\/(-75))\/(2\/10). Suppose -2*j = 3*g - 10, 0 = 2*g - k*g + j. Solve -5*l - g*s - 28 + 5 = 0, 4*s = -l - 19 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 425\/40 - 12 - -1.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29154709141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 + y. Let q be p(2). What are the prime factors of 328\/q*(-6)\/4?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*n - 2*t, -12 = -4*n - 6*t + 4*t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 9*g + 2. Suppose 3*r + 16 = -12*f + 13*f, -32 = -5*f + 3*r. Suppose f*c = 2*j - 18 + 64, c - 4*j = 29. Give h(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 890 is divided by 96?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/4)\/(4\/(-24)). Let w be ((-2)\/(-6))\/(3\/18). Is l + -171*w\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, t: 3, r: 1}. Give prob of picking 1 v, 1 r, and 1 t.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - q + 7. Let l(c) = -8*c - 4 + 10 + 11*c - 4*c. Determine 5*l(a) - 4*x(a).\nAnswer: 4*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 5*s = -0*n - 17, -2*n + 4 = 2*s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-35)*(-5 - 264\/(-64))*-4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1 + -0.8. Let o = -210953 - -2739878\/13. Let m = 193 + o. What is the smallest value in m, w, 1\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 154 + 238. Let r = -356 + v. Solve 0 = 5*f + 4*o - 0*o + r, 36 = -4*f - 5*o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 0*j + 0*j**2 - 2 - 2\/39*j**3. What is y in c(y) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1405 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 6 = 4*z. Let w be 22*z\/4 + 1. Let s = w - 2. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a - 27. Suppose a = -4*s + 21. Suppose -1 = u + 4*j, 0 = -2*u - 3*j + 2 + 6. What is the lowest common multiple of s and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 5228504?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*a + 217*a = -872953 + 312683. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1223027*o**2*r**2*t**3 - 2*o*t**3 + 15295*o*t**2 + 11*r**2*t**3 wrt o.\nAnswer: 2446054*r**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 9076, -10, -3, -1, -2, 5 in decreasing order.\nAnswer: 9076, 5, -1, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 12:03 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/6 + 72\/48. Solve 0 = -d*u + 22 - 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1327718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 6*z**2 + 4*z + 6. Let y be c(5). Let q(g) = -304*g + 304*g + 5500*g**3. Let i be q(y). Round i to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -110\/2417 = -1.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*h - j, 0 = -4*h - 2*j + 4 + 64. Suppose 6*c = 2*c + 16. Solve h = c*v + 5*g - g, -3*g = 2*v - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62.7803 - -0.1197. Let s = -67 + b. What is s rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -38 (b) -4\/13 (c) -1 (d) -2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809478?\nAnswer: 2, 3, 44971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 1 + (-252 + 0)\/2. Let o be -1 + (396\/x)\/(-3). Which is the nearest to o? (a) -0.5 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3241\/228 + -57\/4. Which is smaller: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 1073 = -2*d + 2*c, -3*d - 5*c + 1597 = 0. Let m = d + -516. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*225\/(-45)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 362106927 and 8442?\nAnswer: 4221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v + 5. Let o(p) = -4*p - 3. Let a(m) = 11*m**2 - 3*m + 3. Let c be a(1). Let w = 9 - 3. What is c*o(b) + w*h(b)?\nAnswer: -2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-4)\/8)\/(42\/24)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*sqrt(68)\/sqrt(4) - (-5*-2*sqrt(17) - sqrt(17)))**2 + (sqrt(51)\/(1*sqrt(48)) + -1)**2.\nAnswer: -40767\/16 - sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (150\/(-27))\/(-5)*4266\/395\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 1\/19 (b) -0.1 (c) 5 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.579 + -17.95. What is p rounded to one decimal place?\nAnswer: -32.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r - 329. Let a(n) = -33043*n + 2. Calculate a(f(y)).\nAnswer: -99129*y + 10871149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7*t**3 + t**2. Let r be g(-1). Suppose -d - 4*d + 5*b = -45, 5*d = -5*b - 5. Let y(w) = -w**2 + 2*w + 3. Let o be y(d). Which is greater: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + 0)**2 + sqrt(63)*-1.\nAnswer: -3*sqrt(7) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -1176*m - 10573. Calculate s(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21866 + 22156. Calculate the remainder when 1156 is divided by b.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/5)\/(46\/(-690)). What is the greatest common factor of d and 336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4 + 4*b**2 + 0*b**2 + 2*b + 6 + 5*b**3 - 4*b**3. Suppose 15*s = 24 - 84. Give l(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 6:18 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/24)\/((-1)\/((-2)\/(-13)))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -4.1. Let p = -134 + 134.4. Let r = 0.56 + 0.44. What is the nearest to -1\/3 in k, r, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3)*y\/(y*((y**(3\/5)*y)\/y*y)\/y))\/((y*(y*y**(-1\/5))\/y)\/((((y**(2\/11)*y)\/y*y*y)\/y*y)\/y)))**(10\/3) assuming y is positive.\nAnswer: y**(-118\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/9)*q*q*q*q\/q**(-1\/6)*q*q*((q**0\/q)\/q)**21)\/((q**(-2\/13)\/q**(-6))\/(q**(-1\/9)\/(q\/(q**(6\/11)\/q)))) assuming q is positive.\nAnswer: q**(-37295\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 34 + -971 + 959?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/104 and -5\/39.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 8\/(-64)*4*-24.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -421*p - 503*p - 384*p + 1228*p.\nAnswer: -80*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12517 by -13.\nAnswer: -12517\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/18 and -37\/78.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1\/1993 (b) -10350 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*f**2 + 113*f - 10*f**2 + 13*f + 8.\nAnswer: -63*f**2 + 126*f + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, o: 15}. Give prob of picking 3 o.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**7\/350 + u**6\/120 - 11*u**5\/300 + u**4\/40 - 144*u**2. Factor y(z).\nAnswer: z*(z - 1)*(z + 3)*(3*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 405, 1921, 4553, 8313, 13213, 19265, 26481, 34873?\nAnswer: 44453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3253869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 0, -5, 1, -1 in descending order.\nAnswer: 43, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671494570 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35 - 20 + 4*m**2 - 14 + (-3 - 2 + 4)*(m**2 + m**2 - m**2).\nAnswer: 3*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*w + 28 - 28. Suppose w = -2*t - 5*d + 1477, -2*t + d + 2099 - 652 = 0. Does 66 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -636 - -1085. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210012112012210102 - -11?\nAnswer: 210012112012210120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 8*f - 4. Let m be d(-6). Let q = -5 + 20. Suppose -m*w + q = -7*w. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -633, -10, -2, 1, 2 in decreasing order.\nAnswer: 2, 1, -2, -5, -10, -633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**4\/4 + 4*g + 48. Let y(m) be the third derivative of -m**3\/6 + 40*m**2 - 2. What is -k(s) - 4*y(s)?\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.161 + -0.061. Suppose -3*o - 3 = -0*o. Let k be 16\/(-7) + o + 3. Which is the nearest to m? (a) -1 (b) k (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3138 divided by -1046?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 2*v**2 - v - 9. Give i(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3 - 2. Suppose 2*r - 5 = u. Let m be 8\/r - 8\/12. Solve -a = -m*a + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361 = r + 4*f, -8*r = -6*r - 3*f - 711. Let v = -353 + r. Solve 2*c - v = -2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*i - 10683 = 53*i. Suppose 6*y - 226 = -s + 3*y, -5*s + 4*y = -i. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9*c - 3. Suppose -1137*h + 2740*h - 100989 = 0. Calculate the remainder when h is divided by q(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(1 - (-21)\/(-9)). Let a = 2 - d. Let z = a + 1. Is -4 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/2*x**2 + 0 + 18*x = 0. Calculate x.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfe when three letters picked without replacement from {f: 2, x: 3, k: 5, e: 3, a: 1, h: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/3 + 51664*i**3\/3 - 111146464*i**2 - 2669995520*i\/3 - 5341644800\/3.\nAnswer: -2*(i - 12920)**2*(i + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -114*t - 1585. Let a be l(-14). Solve 73*w + a + 62 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-9))**(-1\/10) assuming w is positive.\nAnswer: 1\/w","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = -2*m - q + 136, -28*m - 9*q + 700 = -6*q for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117532353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 10*q**2 + q + 13. Suppose k = -0*k + 3, -3*k + 29 = -2*o. What is g(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 25. Let d = r - 10. Suppose -n = -3*n + d. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -101?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 + -86. Let j be 2153*(-1)\/(-5) - g\/5. Let v = -212 + j. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35185 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3671*c - 10560 = -3231*c for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 3061 - 1299 = 0. Is -430 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336595703 to the power of 1\/4, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 377*a**2 + 2655*a - 2655*a.\nAnswer: 377*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/28368 and -133\/3546.\nAnswer: 28368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144, -548, -1214, -2136, -3308, -4724, -6378, -8264?\nAnswer: -10376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.27 - 17.73. Let y = b - -2. Let p = y - -16.00000036. Round p to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 - -29. Calculate the remainder when v\/10 + 4\/(-10) is divided by ((-26)\/(-14) - 1)*7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-1 + 5 + (sqrt(700)*2 + -1 - sqrt(700)) + 3) + 4)*5)**2.\nAnswer: 33000*sqrt(7) + 169600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1791822.\nAnswer: 2, 3, 107, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 12.1. Which is the nearest to p? (a) 5 (b) 2\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9555495 and 67920?\nAnswer: 4245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 19660*o + 14917665.\nAnswer: -5*(o - 4583)*(o + 651)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 2*h**2 - 5*h + 3. Let k be i(4). Let p = -9 + k. Let v = p - 1. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 523357 = 1429594. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*a - 1190 = -61*a. List the prime factors of a.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {k: 5, j: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1194*f + 4 - 4 + 305*f.\nAnswer: -889*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21.4 and 0.3.\nAnswer: -6.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**4 - c**3 + c**2 + 2*c. Let r(x) = -x**4 - 2*x**3 + 4*x**2 + 10*x + 2. Let m(o) = 5*f(o) - r(o). Find the third derivative of m(v) wrt v.\nAnswer: -96*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2.9. Let d = -0.048 + -13.952. Let n = -13 - d. Which is the closest to l? (a) n (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + (13 - 15) - -66.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56 + -532?\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 25. Suppose -2*t + 5 = q. Suppose -2*o - t*o = -196. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*m - m - 8*m + 400 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 3*o - 8, o = 3*c + 4*o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 31\/12*a**4 + 2 - 23\/70*a**7 + 0*a**3 + 0*a**6 + 0*a + 21*a**2 + 0*a**5. What is the second derivative of m(o) wrt o?\nAnswer: -828*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times 0.06?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 3*a**2 + 0*a + 1\/480*a**6 - 1\/240*a**5 + 0 + 0*a**4 + 0*a**3. Determine p so that o(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f + 47. Let i be g(15). Let n = i - 12. Let c(d) = -d**2 - 7*d - 5. Let t be c(-5). What is the highest common divisor of n and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5121 - 5015. Put 6, 1, -5, o in decreasing order.\nAnswer: o, 6, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 5*z + 3. Give h(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (98 - (-57 + 22)) + -123?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f = 96 - 6 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 12 = 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 126*r**3 + 9*r - 19 + 190*r**3.\nAnswer: 64*r**3 + 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -6*d + 7*d. Let j = d - 39. Let u = -40 + j. What are the prime factors of u?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 6 - 13*m**2 + 12 - 25*m**2 + 9 - 2*m as z + j*m**2 + w*m and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from vcvxveoxvvfvocxvovvf?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 3:48 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 401 - 453.6. Let v = -67.591 - s. Let h = v - -15. What is h rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 792 or 791?\nAnswer: 792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 - 6*v**2 + 8*v. Let f be b(-6). Let q be -297*(-3)\/(-21 - -12). Let t = q + f. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 m when two letters picked without replacement from eqnnyqqgqnmnqnney?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1358 + -1319. Sort 12, -2, q in descending order.\nAnswer: q, 12, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpi when three letters picked without replacement from {t: 1, p: 1, i: 2, j: 1, s: 1, b: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40358713*l**2 - 649300?\nAnswer: 80717426*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/(-7) - 4\/(-14). Calculate the least common multiple of 16 and (1 - r)\/((-51)\/170).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*c**4 + 9199*c**3 - c - 172*c**2 + c - 9203*c**3 - 11*c**4 as l*c + z*c**4 + p*c**3 + b*c**2 + i and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -18 + 2. Let s(y) = -6*y - 3 + 3*y**2 + 3*y**2 - 7*y**2. What is the units digit of s(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 k, and 1 y when three letters picked without replacement from {a: 2, y: 2, n: 6, i: 1, k: 6}?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46570912?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 3709943609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 14*a - 34*a - 7*a - 31*a. Let r(x) = -2*x**2. Determine r(v(d)).\nAnswer: -6728*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**4\/12 + o**3\/6 + 2*o**2 - 12*o. Give u(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 40 (b) 15\/2 (c) -107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -38 and -0.055.\nAnswer: -38.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfmpujufpmun. Give prob of sequence mu.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 733*k**2 + 1008*k wrt k.\nAnswer: 1466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -309 less than 11293?\nAnswer: 11602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-13 - 1) - (4 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-7) + (-109310)\/(-70) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) 18 (c) -1\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*l**3 - 6*l**2 - 24*l - 32.\nAnswer: -(l + 4)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 22 - 13 - -5\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 1, 2, 597, 4.41?\nAnswer: 4.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*h + 2155 = -5*t - 29*h + 1698, -2*t + 86 = 4*h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10*2\/(-90) + 68\/18. Solve -7*z + 2*z = 2*r + 30, -2*z + 12 = -t*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.48, 0.3, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*t - 57*t - t**2 + 195*t - 1 - 64*t + 3*t**3 - 7*t**3 - 4*t**4 to g*t + f*t**4 + p*t**2 + q + j*t**3 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00036182 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + 3565637069443.\nAnswer: 3565637069449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -156132.57 rounded to the nearest one thousand?\nAnswer: -156000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50105 and 112035.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-330))\/((-5780)\/12716)\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*(sqrt(26)\/sqrt(2)*4 + -1) + 3)**2.\nAnswer: -864*sqrt(13) + 44982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 2:16 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {c: 4, e: 7, n: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 895.7995cm to micrometers.\nAnswer: 8957995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**5 + 45272587*w**4 + 2*w**2 + 1521*w - 6508?\nAnswer: -60*w**2 + 1086542088*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.4853795 hours?\nAnswer: 1747366.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -253 + 295. Calculate the least common multiple of 10 and y.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10, 5, 1, -27 in ascending order.\nAnswer: -27, 1, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2. Let y be h(-1). Let g be (1 - 2)\/(3 + y). Let b be 2\/(g*4\/(-10)). Solve 1 - 11 = -b*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 12 = -3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2879464 divided by -411352?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2490 - -2502. Solve -q*g + 3*a = -14*g - 22, 4*a = 4*g + 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107 (base 8) to base 4\nAnswer: -1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 32 (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - 26. Suppose -d + 5 = -5*f + 5*y, f - 4*y = 17. Solve -v = -4*s, 2*v = -f + 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4968 + -4995. Let d = -1.92 + -0.08. Which is the closest to 0? (a) f (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 3. Let f be h(5). Calculate the highest common divisor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 5*d**2 - 2*d**2 + 8*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n = 10*u + 9*u - 153 + 757, 0 = -72*u + 71*u - 4 for n.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43554067 is divided by 21777030?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -141, -132, -111, -72, -9, 84, 213?\n\"Answer: f**3 + 2*f - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 769.108 micrometers in nanometers?\nAnswer: 769108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000195589 rounded to seven dps?\nAnswer: 0.0000196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -15ab1b (base 13) in base 4?\nAnswer: -2003111133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 plus -109.672?\nAnswer: -109.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 663, 1004, 1303, 1560, 1775, 1948?\n\"Answer: -21*j**2 + 404*j + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6921 + 2*n + n + 6921.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 0 - 3. What are the prime factors of (1 - 0\/v)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 305\/69 + -2\/23. Find the common denominator of j and 52\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brtrtrtrtrrrr. Give prob of sequence rbr.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1675, 0, -42, -3, 477.\nAnswer: -42, -3, 0, 477, 1675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 1:07 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4637483.\nAnswer: 4637483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (10 - 5)) + 70 + -51 - 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1167 + 917*z + 982*z - 1509*z with respect to z.\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000121 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.2, 5, 1, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*g + 3*g**3 - 10*g)*(46*g - 34*g - 27*g + (2 - 3 + 2)*(-2*g - 1 + 1) - g + 4*g - 5*g)*(4 - 4 - 2*g).\nAnswer: 114*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*4.46.\nAnswer: 0.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20, -91, -226, -437, -736?\n\"Answer: -2*k**3 - 20*k**2 + 3*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 10*d**2 - 6*d - 1. What is the remainder when 202 is divided by b(-2)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from wwywyypy.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 - 2 = 0. Suppose 3*s - 4*y = -16, 1 = v*s - 2*y + 9. Solve s = -g - 4*g - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -104*l**3 + 1709*l**2 - l + 20 - 105*l**3 - 18 + 207*l**3 to the form o*l**3 + j*l**2 + d + n*l and give j.\nAnswer: 1709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -61, -0.06, -0.13 in descending order.\nAnswer: 2, -0.06, -0.13, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 1. Let y be 2\/1 - (-21 - -18). Calculate f(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -186 - -715. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345343 is divided by 172662?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -0*p - 7*p. Let s = p + -1. Suppose -3*h + 18 = k, -4*h = k - 22 + s. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 110 + 70 = 5*m, 4*m = -8. Let d(t) be the first derivative of 27 + 0*t**5 + 15\/8*t**4 - 5\/12*t**f + 0*t + 0*t**2 + 5\/3*t**3. Factor d(z).\nAnswer: -5*z**2*(z - 2)*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**3\/6 - 19*t. Let p(f) = -3*f + 1. Determine p(s(r)).\nAnswer: -3*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -856*n + 424*n + 430*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11272.\nAnswer: 2, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48897753*z**3 + 2*z**2 - 949842502 wrt z?\nAnswer: 146693259*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/(-559)*203\/406.\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920152286?\nAnswer: 2, 577, 797359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20597, -82379, -185349, -329507, -514853, -741387?\nAnswer: -1009109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**2 + 793*c\/5 + 318\/5 = 0.\nAnswer: -2\/5, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*a + 4, -2*f - 9 = 3*f - 2*a. Let k be -13 - -33 - 11 - 5. Sort f, k, -20 in decreasing order.\nAnswer: k, f, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 402.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 17, d: 2}. What is prob of sequence td?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 245*s**2 - s + 5. Let i(q) = -245*q**2 + q - 6. Let z(a) = 5*i(a) + 6*m(a). What is the tens digit of z(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 4*g**2 + 4*g - 2. Let c be x(3). Suppose -5*m = -3*l + 9, m + 4 = l + c. Solve m = -5*d - 2*z - 2*z - 29, -d = -4*z + 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2 + 2 + 2 - 2 + (-5 + 0 + 3)*(1 + 0 - 3) + 4 - 1 - 4 - 248 + 52 + 20)*(3*i - 7*i + 3*i).\nAnswer: 169*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 139 + 701. Is 210 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21878034, 21878074, 21878114, 21878154?\n\"Answer: 40*o + 21877994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 63. Let j = d + 25.53. Let f = j - -0.47084. Round f to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 191810 = -5*b, b + 1745 = -2*j + 78472. Suppose -15*i + 52 = -j. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 14*c + 17*c - 13, -65 = -5*w - 2*c. Solve 65 = -w*k - 26 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -159307*f**3 - 479*f - 22 wrt f.\nAnswer: -955842*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3329072?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -913 - -209. Let x = y - -701. Let w(r) = 2*r**3 - r - 3. Let l(b) = 2*b**3 - b - 3. Determine x*w(t) + 2*l(t).\nAnswer: -2*t**3 + t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13460 less than -29269045011?\nAnswer: -29269031551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 2*g + 154, -g - 4*g - 47 = -t. Let n = t + -20. Solve 2*a - 4 = -n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**3 - 2*o**2 - 12*o + 9 wrt o.\nAnswer: -12*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(2\/7))\/a*a*a**(1\/2))\/(a*a**(1\/10))**(2\/11) assuming a is positive.\nAnswer: a**(181\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 528 * 7.\nAnswer: 3696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 199197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2. Let g(i) = 1. Let x(z) = -11*z**2 - 11. Let a(t) = -11*g(t) - x(t). What is a(q(k))?\nAnswer: 44*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1200 (base 3) to base 14.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**7\/420 - o**6\/180 - o**5\/360 + o**4\/72 - 7*o**2\/2 - 16*o. Let k(r) be the first derivative of d(r). Factor k(s).\nAnswer: s*(s - 1)**2*(3*s + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 434484773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -435*a**4 + 1276 + 1373 - 2461 + a**2 - a**2 wrt a.\nAnswer: -1740*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-21)*-1)\/(56\/(-84))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -155, -127, -57, 55, 209, 405, 643?\n\"Answer: 21*b**2 - 35*b - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 70. Suppose 3*s - 2*a + a = 163, 0 = -4*s + a + 219. Let n = s + j. Solve -i = -4*m - 0*i - 13, m - 3*i - 5 = n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 3 - (960\/4 - -4). Let k(o) = 378*o**2 + 3*o - 2. Let d be k(1). Let b = s + d. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) -11874 (b) -2\/9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cncnc. What is prob of sequence nc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/(-2))\/(12 - 14). Let h = k + 9. Let n be 2\/7 + (-1076)\/(-7). Calculate the highest common factor of n and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**3 + 4*w**3 - 30 - 41*w + 71*w - 2*w**3 - 9*w**2 - 28*w as y*w + u + r*w**3 + b*w**2 and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -20946.\nAnswer: 1\/10473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.52515584 rounded to one decimal place?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15778*j**2 - 267704*j**2 - 854961*j**2 - 1202527*j**2.\nAnswer: -2309414*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -299*x**4\/12 - 34*x**2 - 23*x + 3. Let l(q) = -12*q. Give l(k(b)).\nAnswer: 7176*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/24 and 4*10\/(-456)*71\/5.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from {z: 1, w: 11, b: 3}.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.7137688ns to hours.\nAnswer: 0.000000000001587158","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1a58 (base 11) to base 5.\nAnswer: -40404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t + 34. Let z(s) = s**2 - 10*s - 8. Let i be z(9). Let b be n(i). Let l = 9 + -4. Sort -2, l, b.\nAnswer: -2, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 + 331*w - 46. What is the units digit of v(32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4*h + 12650, -4*h + 20773 = -4*w - 4535. Let a = w - -10608. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(32) - sqrt(288)) + sqrt(32) + sqrt(242)*2))**2*-3.\nAnswer: -48600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.7 + 2.3. Let p = 7 - d. Which is the biggest value? (a) -2\/3 (b) p (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 12:17 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142132.\nAnswer: 2, 35533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/10*(4*-11)\/((-1236)\/1854).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**2*u**3 + 66049*r**2*u**2 - r**2*u - 13*r*u**3 + 1079*r*u**2 - 2*r*u - r - u**3 wrt r?\nAnswer: -4*u**3 + 132098*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -195 times -1886\nAnswer: 367770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4\/3 - 5\/6*y**3 + 1\/6*y**5 + 2\/3*y - 5\/3*y**2 + 1\/3*y**4 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(-71212*o**2 - 32240*o**2 - 82721*o**2 - 2998*o**2 + 9987*o**2 - 24654*o**2).\nAnswer: 407676*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2\/5 (c) 4 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - (sqrt(684) - (1 + sqrt(684))**2)) + 1 + sqrt(1539).\nAnswer: 21*sqrt(19) + 686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 3:48 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/5 of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 836105 or 836104?\nAnswer: 836104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 75 or 2675\/36?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24836760 divided by 238815.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -49*v - 1. Let i(n) = -50*n - 2. Let g(b) = 2*i(b) - 3*w(b). Is g(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 4206.\nAnswer: -1\/701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 307*5.\nAnswer: 1535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u + u)*(-2*u**4 + 2*u**4 - 2*u**4) - 2*u**5 + 6*u**5 - u**5.\nAnswer: u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 4 - 12)*(-3 + 5 - 3)*(-3*k + 3*k + 2*k).\nAnswer: 46*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6*z**3 + 121*z - 283*z - 164*z.\nAnswer: 6*z**3 - 326*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 791*r**2 - 1585*r + 793.\nAnswer: (r - 1)**2*(r + 793)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2210338 and 510078?\nAnswer: 6631014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, e: 4}. Give prob of sequence dee.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 13 - 10) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*i - 8310223 = -5*i + 8302786. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 e when three letters picked without replacement from {e: 6, s: 1, z: 7}.\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6387537 decades in months?\nAnswer: 76.650444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**5\/60 - 5*p**4\/24 - 7*p**3\/6 + 5*p**2. Let m be i(6). Let h = m - -7. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 31\/19959 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 39 times 23.0401\nAnswer: 898.5639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4105\/1308 or 3?\nAnswer: 4105\/1308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-1))\/((-2)\/(-4)). Solve 6*g = k*g - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21624 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 23*y - 8 = 21*y, 0 = -2*g + 4*y - 16. Suppose -31*q + 26*q + 2530 = g. List the prime factors of q.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -3)\/(-4) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, u: 12, x: 3}. Give prob of picking 3 x.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 195 - -1?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -544*g. Let b(h) = -h + 239. What is c(b(n))?\nAnswer: 544*n - 130016","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 10*m**2 + 12*m - 7. Let f be s(11). Suppose 28 = f*k + 12. Suppose -2*o + k*o - 32 = 0. Calculate the remainder when o is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 = -16*c + 12*c, 4*b - 2*c = -10. Let g be b - 74*1\/(-14). Let -g*t + 30\/7*t**2 + 2\/7 = 0. What is t?\nAnswer: 1\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661002 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -8121700191.\nAnswer: -8121700193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 517643943 to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1586*j**3*y**2 - 400*j**3 - 25*j**2*y + 5158*j*y**2 wrt j.\nAnswer: -9516*y**2 - 2400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((28\/12)\/(-7))\/(2\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vva when three letters picked without replacement from {v: 6, w: 3, a: 7, t: 1}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 4*r + r - 4 - 3*r - 9*r. Let w(m) = -m - 4. Let u be w(-3). Let p be (-15)\/6*(1 - u). What is z(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15675544 is divided by 40?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 10 = -4*z. Suppose 0*v - 2 = c - 2*v, -3 = z*c - 3*v. Suppose 2*y + 3*y - 110 = c. Round y to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 85?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 - 3)*(-2 - 5 + 5)*(0*t**4 + 4*t**4 - t**4).\nAnswer: 60*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3633*f**4 + 4*f**3 + 14 - 2 - 3648*f**4 - 5*f**3 + 2*f in the form m*f**2 + u*f**3 + h + q*f + l*f**4 and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 753347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228468283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670471 is divided by 24832?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + q**5 + 3 + (0*q**3 + 8*q**3 - 5*q**3)*(-q**2 + 4*q**2 - 2*q**2).\nAnswer: 4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - r + 2*r)*(-2*r + 0 + 0) - 1 + 1 + r**2 + (-r + 0 + 0)*(-5*r + 3*r + 4*r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/2 of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6878027823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14, 78, 264, 638, 1266, 2214, 3548, 5334?\n\"Answer: 11*q**3 - 5*q**2 + 2*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 4*m**2 - 4*m**2 + 0*m**2 - 32 - 70 + 4*m**3. Let b(a) = 7*a**2. Give b(q(s)).\nAnswer: 1008*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 537, 1046, 1527, 1974, 2381, 2742, 3051?\nAnswer: 3302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5538539\/11164296 + -5\/42289. Calculate the common denominator of 163\/3024 and z.\nAnswer: 33264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2*m)*(4*m**3 + 0*m**3 - 6*m**3) + 2*m**4 + m**4 - 5*m**4 - 208*m**4 - 279*m**4 + 550*m**4 to r*m**4 + q + y*m**2 + s*m + k*m**3 and give r.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -9*g - 4. Let b(a) = 2*a**3 - 2*a**2 - 4*a + 3. Let n be b(2). What is i(n)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.7, -5, 5 in descending order.\nAnswer: 5, -3.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -610\/9*y + 604\/3 + 2\/9*y**2 = 0. Calculate y.\nAnswer: 3, 302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 99*d**2. Let g(f) be the second derivative of -f**6\/360 - f**3\/3 + 3*f**2\/2 + 2*f + 4. Let h(b) be the second derivative of g(b). Determine h(s(w)).\nAnswer: -9801*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 2*b - b + 120, 0 = 36*b + 190*q - 187*q + 4182 for b.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k + 4. Let o(z) be the second derivative of z**2\/2 - 11*z. Let m(v) = v**2 + 7*v - 1. Let j be m(-7). Determine j*g(i) + 3*o(i).\nAnswer: -3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/2688 and -25\/1792.\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + -6)\/((-3)\/2). Factor -45*p**2 + p**4 + g*p**4 - 49 - 69*p + 19 - 3*p**3.\nAnswer: 3*(p - 5)*(p + 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 41*p - 13. Let h be m(3). What is the third derivative of -9*f**3 + 110 + 5*f**3 - 13*f**2 - h wrt f?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + -24*(-1)\/2. Suppose 2*z = -5*d + 35 - x, -3*d = 2*z - 15. Let c = 607 - 602. Solve 5*v + d = -c*y, -1 = -3*y - y - 3*v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -142 - -139. Let t be ((-44)\/(-33))\/(4\/30). Let c be (-58)\/(-80) - ((-54)\/t + 6). What is the nearest to 1\/4 in 0.5, c, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (3 - -7)) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -11 + 8 + -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 25, -4, -13, -2, 2.\nAnswer: -35, -13, -4, -2, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.01 - -10. Let n = -0.29 + v. Suppose -1 - 9 = 5*s. Sort n, 5, s in increasing order.\nAnswer: s, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 21. Suppose -3*y + 4*l - 7 = -2, l + 13 = -s*y. Let i be (3\/(-2))\/(y\/8600). What is i rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92.0000013 - -92. Round m to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65646 + -37571. What are the prime factors of r?\nAnswer: 5, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5))**(-1\/6)\/(h**(-2\/7))**15*(((((h*((h*h*h*h**(2\/5)*h)\/h*h)\/h)\/h)\/h)\/h)\/(h*h*h**(2\/5)\/h))\/((h\/(h**0\/h))\/(h*h**6)) assuming h is positive.\nAnswer: h**(968\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x - 15 = -104 - 54 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -4*f - 28. What is the remainder when 38 is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*l**2\/9 - 1326560*l\/9 - 168448 = 0 for l.\nAnswer: -47376, -8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 5:21 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 321, 342, 381, 438?\nAnswer: 513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2192 divide 1808975991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4782818687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a meter in centimeters?\nAnswer: 1420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 157*b**2 + 2. Let n(g) = 172*g - 59*g - 54*g - 58*g. Determine n(v(a)).\nAnswer: 157*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 0 + 550*t + 8 - 549*t - 9. Let g(n) = 18*n - 5. Give -g(q) + 6*h(q).\nAnswer: -12*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.34? (a) -12 (b) -0.05 (c) -0.5 (d) -5.65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-513)\/190*140\/(-945)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -99*l**2. Let g(t) = -3*t**2. Calculate x(g(s)).\nAnswer: -891*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -32*a - 12. Let h(m) be the first derivative of -m**3\/3 + 1203. Determine j(h(o)).\nAnswer: 32*o**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 17. Let t(d) = d - 17. Determine -4*t(g) - 3*y(g).\nAnswer: -g + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.6 (b) 2\/7 (c) 8\/3 (d) 0.04 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 711802518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*o - o - 5)*(-10 + 13 + 3).\nAnswer: 12*o - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/8 or -1\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12697 or 2856916\/225?\nAnswer: 2856916\/225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5 times -0.15?\nAnswer: 0.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13217 - -198343\/15. What is the common denominator of -149\/6 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 4*q + 5. Let k be u(5). Let x(w) = -3*w - 11. Let a be x(10). Let l = -37 - a. Solve 0 = l*v + g - 23, 0 = -k*g + 4*g - 12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -4. Let j be 0 - (-5)\/(-2)*-2. Let q(b) = b. Let d be q(j). Sort d, g, -3 in descending order.\nAnswer: d, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/((-6)\/8*-2). Solve p*h = -h + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (5\/(-4))\/(5\/(-360))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221102121012 - -121?\nAnswer: -221102120121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = -43*t - 62 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 9*a**2 + 15*a + 16. Determine g(11).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a (base 13) in base 14?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 12:21 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -13bcc3 (base 13) to base 2\nAnswer: -1110110000000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d - 7*d**2 + 9*d**2 + 29*d**2 + (2 - 2 + 2 + (0 + 1 + 0)*(-1 - 3 + 1))*(-4 + d**2 + 4).\nAnswer: 30*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13500598 is divided by 200?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n - 27*n = -1105. Suppose 4*p - 913 = -4*v - n, 4*p = 4*v + 732. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 38*q + 169. Let g be z(-4). Which is the closest to -3\/4? (a) g (b) 1\/8 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14481097 * 0.1.\nAnswer: -1448109.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/2)\/(d\/(d\/(d\/(d\/(d**(-4)*d))))))\/(((d*d**(-2\/7))\/d)\/d)**(-4\/21) assuming d is positive.\nAnswer: d**(123\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 109.8731 and -0.1?\nAnswer: -10.98731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-18) + -6)*(-1008)\/198\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2) - 0)\/((-29)\/(-116)). Is 17574\/14 - o\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 49?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n**2 - 9*n + 3. Does 19 divide y(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 5:37 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3074483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 8, 4*q - 5*q - 6 = 3*h. Let k(u) = -u**2 + 8*u - 9. Let m be k(6). Suppose -m*o = -0*o - 12. Calculate the remainder when q is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 136578.996 to the nearest one thousand.\nAnswer: 137000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*sqrt(425) + sqrt(425))**2.\nAnswer: 80*sqrt(17) + 1716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, z: 3}. What is prob of sequence yyyy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 3*p - 2793, 16*l + 4*p = 13*l + 2086. Calculate the remainder when l is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2\/11 - 5436*j\/11 - 16290\/11 = 0 for j.\nAnswer: -2715, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 169. Let p(f) = 500*f**2 - 304*f + 76. Let h(q) = -20*q**2 + 12*q - 3. Let k(g) = 76*h(g) + 3*p(g). What is x(k(a))?\nAnswer: -40*a**2 + 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21310 - -21315. Which is the closest to 3? (a) 3.1 (b) -0.04 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1345 divided by -4\nAnswer: -1345\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -57. What is the remainder when 81 is divided by o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -1\/149, 0.2, 1836364?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, v: 2}. Give prob of sequence vi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4525, -17921, -40247, -71503, -111689, -160805?\n\"Answer: -4465*z**2 - z - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-87)\/9 - 78\/117\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 687\/2 or 344?\nAnswer: 687\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 6. Let g be -9*5\/(45\/6). Let w be c(g). What is the derivative of -3 + 4 + 3*y**3 + w*y**3 + 3*y**3 wrt y?\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*g - 1 - 23*g + 3*g**3 + 108*g - 2*g**3 to p*g**3 + r + k*g**2 + x*g and give x.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 467*o**5\/60 - 5*o**4\/24 + 5*o**3\/6 - 5*o**2. Is u(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165, 327, 489, 651?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 537 = 19*v + 375. Solve -1 + 37 = -v*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = -48*c - 1460 + 1820 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.3 - -17.3. Let x = g - 7. Let j = x - 7.026. What is j rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -67 + (-5 - -1) - (5 + (-5 - 1))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/3)\/5*(-42)\/56.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 5. Suppose -3*r = -5*g + 41, -17*r + g = -15*r + 18. Calculate l(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(5\/3)*m*m))\/m)\/m*m**(5\/3)*(m*m**(-2\/33))\/m**3*((m\/(m**3*m))**(2\/3))**(-21) assuming m is positive.\nAnswer: m**(1219\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i**2 - 24*i - 4. Let h(u) = u - 1. Let g(l) = 3*l**2 + 22*l - 3. Let n(f) = -g(f) + 6*h(f). Let s(j) = 5*a(j) - 8*n(j). Find b such that s(b) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + 7. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89574 divided by -29858.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 2\/9 (c) 6\/7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 471 minutes before 2:18 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 220973 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*8\/(224\/5047). Let x = 738 + b. What is the highest common factor of x and 952?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8529 and -0.3.\nAnswer: 8528.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5274.\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aarsaouuoooh. Give prob of sequence uhso.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 10:26 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -628730.69 and -9.\nAnswer: -628739.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, 1\/12, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 4*o**2 - 5*o - 36. Let w be q(6). Let m(s) = -s**2 + s + 7. Let u be m(w). Is -19 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3293 is divided by 331.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 3:06 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3612 and 27321924?\nAnswer: 1174842732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - (-3 + 2))*10\/(-6). Suppose 128 = -z*t + 13*t. Suppose -4*b - 16 = 0, 0*q + 4*b = -q + t. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 52*b**2 + 52*b - 311. Is 77 a factor of n(60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) -72 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7196467*v**4 + 27*v**2 - 2*v + 1471 wrt v.\nAnswer: -172715208*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 2:53 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -9. Factor -6\/7*z**4 + 0*z + 0*z**g + 0 + 4\/7*z**5 + 2\/7*z**2.\nAnswer: 2*z**2*(z - 1)**2*(2*z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 43?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + k = 20, 0 = 9*a - 29*k + 25*k + 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5535667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0, 5513 in descending order.\nAnswer: 5513, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yayaaaaaaaaaa. Give prob of picking 1 y and 1 a.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 157 - 86 - 80 + 11*l + (104 + 5*l - 104)*(-1 - 1 + 3).\nAnswer: 16*l - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 3, 2\/13, -2\/9, -97.3 in decreasing order.\nAnswer: 46, 3, 2\/13, -2\/9, -97.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 14*g**2 - 2*g - 19. Let o be (-1030)\/206 - (-1 + 0 - 6). Suppose -5*n + 3*q = 85, -o*n + 3*q = 4*q + 23. Determine j(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3369 - 957. Suppose -10*m = -4*m - k. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekkkekepkkpzezmkp. What is prob of picking 3 e?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6682*j - 6679*j - 30 = i, 2*i - 2*j = -24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -24. What is the highest common factor of 50 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1716.991812 - -1717. What is r rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.4342*-9.\nAnswer: 39.9078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12568*i + 7975*i + 9881*i to s*i + p and give s.\nAnswer: 5288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5204 != 452798\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280678?\nAnswer: 2, 140339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (-8 - (0 - 24)) - 32?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 8:18 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.058 in -1, 0.03, -5, -15, -0.3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-35) + (-60)\/14 + -2. Let m(w) = 5*w + 3. Let t(u) = -u. Determine k*t(f) - m(f).\nAnswer: f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*k**2 + 2*k + 24*k**2 - 55*k**2 + 19*k**2.\nAnswer: -120*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.942 + 0.058. What is the nearest to 9 in -5, 4, 1, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2480000 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 7:10 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(120) + 2*sqrt(120))*-6 - sqrt(120)) + sqrt(120))\/sqrt(300))\/(sqrt(1568) - (sqrt(1568) - sqrt(1568)*-2) - 4*sqrt(96)\/sqrt(3)).\nAnswer: sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 780 and 121290.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 0*n - 2*n**2 + 1\/120*n**6 - 1\/15*n**5 - 5\/24*n**4 + 0 - 1\/3*n**3. What are the prime factors of b(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -17. Suppose 8*j = c*j + 244. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1799 - -178097\/99. What is the common denominator of -29\/51 and p?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 - -118. What is the smallest common multiple of 132 and l?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*(3 + -3 + (sqrt(208) + 1*sqrt(208))*-5) + 0))**2.\nAnswer: 748800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -73, -98, -159, -268, -437, -678?\nAnswer: -1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 (base 11) in base 12?\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 6 = -5*x + 2*h, x = -3*h. Suppose -x*z + 23 = -13. Which is smaller: 11 or z?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/(-20)*8\/3. Solve -d*w - 3 = -7*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 51912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 124749199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5383439 - 5394743 = -628*u for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 81 - 1160330?\nAnswer: -1160238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, -0.5, 2\/3, 202?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57399 = -181*u + 66630 for u.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 41*a**2 - 2*a - 49*a**2 + 2*a as j*a**2 + k + w*a and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1185176\/133 + 8911. What is the common denominator of q and 93\/4?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34 - -2026?\nAnswer: 1662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-2)*(-1014)\/845\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a - 41. Let p be r(-11). Let m = 71 + p. Solve 3*b + 1 = -m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3963 and 621453.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 304 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u = -16*u - 8. What is the smallest common multiple of u and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 - 3*s + 7*s + 42)*(-6 + 2 + 5) + (0*s + s - 3*s)*(2 - 2 - 2) - 4 - s + 4.\nAnswer: 7*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 3:34 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -1. Find the third derivative of 7*w - i*w + 4*w**3 + w**2 wrt w.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmdtyvmmmrrmdtd. Give prob of picking 1 v and 1 y.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than 228\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*z**2 - 3 - 4*z**2)*(3 - 6 + 2)*(2*z + z + 10*z).\nAnswer: 78*z**3 + 26*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-2))\/(3\/(-4)). Let b(q) = -15*q**3 + 3*q**2 + 7*q - 6. Let c be b(g). Round c to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 780 = -5*d. Let n = d + 366. Does 42 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6 + (790\/(-285) - -2). Sort -4, x, 0, -0.3 in decreasing order.\nAnswer: 0, x, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28584, 56978, 85370, 113760, 142148?\n\"Answer: -m**2 + 28397*m + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -7. Let r(a) = 34 - 34 - w*a**2. Let c(b) = -3*b**2. Calculate r(c(y)).\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 478, 958, 1620, 2458?\nAnswer: 3466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = w - 34, 4*w = -0*w + 3*s + 127. Calculate the remainder when 149 is divided by w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 104 + 3*p - 242 + 123. Let b(n) = -4*n + 18. Let x(a) = 2*b(a) + 3*m(a). Calculate x(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*n - 2. Let m(s) = -5*s**2 - s - 3. Let z(o) = -2*o**2 - o - 2. Let v(w) = -3*m(w) + 7*z(w). Calculate v(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/75*(-1)\/8. Let v(w) be the third derivative of 0*w + z*w**6 - 1\/12*w**5 + 0*w**4 - 2*w**2 - 1\/6*w**3 + 0. Give v(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118439 divided by 4?\nAnswer: 118439\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d = 13*d - 165. What are the prime factors of -2 + 21\/12 + d\/(-4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 3 + 3)*(2*o - 4*o + 4*o) + o**2 + 4*o**2 - 2*o**2 + 10 - 8*o**2 - 10 to the form u + b*o**2 + z*o and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((-6)\/2 + 1). Let u(q) be the second derivative of -q**6\/360 - q**4\/8 + 5*q**3\/6 + q. Let b(p) be the second derivative of u(p). Determine b(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d + 1. Suppose 3*a = 5*a. Suppose -5 + 0 = 5*y. Let n = a + y. What is g(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a - 7*a + 1388*a**2 + a - 295*a**2 - 10*a.\nAnswer: 1093*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a - 15 = 0. Sort 5, -2, a.\nAnswer: a, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 divided by 3?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 16. Suppose 2*v - o*n - 27 = -5, 0 = 4*n + 8. Suppose -v*j - 36 = -11*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**3 - 115*s**2 + 3*s + 93. What is u(-23)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4 = 19, 4*l - 12 = -4*n. Suppose 2*b + 6 = -0*p - p, 5*b + 20 = l. Solve -3 = 4*q + p*i + 11, 12 = 3*q - 3*i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 24, 24, 22, 18, 12, 4?\n\"Answer: -c**2 + 3*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*f + 107165258392 - 107165258392.\nAnswer: 62*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.92 times 73?\nAnswer: -67.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 98 * -3.27\nAnswer: -320.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j + 35. Let f(t) = -2*t**2. Give m(f(d)).\nAnswer: 8*d**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**5\/20 - z**4\/12 - z**3\/6 + 5*z**2. Let q be l(2). Suppose -2*d - 10 = -q*d. Solve -o - m = -3*o + 4, -d*m = 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**4 - 50900*w**3 + 305192*w**2 + 814016*w = 0.\nAnswer: -2, 0, 8, 12719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 703*h = 1412*h - 696*h - 87815. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -4*d - 36. List the prime factors of (-2)\/d + (-152)\/(-36).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - t + 182 + 808, h + 5*t = 486. Is h a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52188 is divided by 2065.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19279*h**3 + h**2 - 620*h - 1.\nAnswer: -115674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.13799773 - 0.138. What is n rounded to 7 dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - -0.5. Let i = -110 + 109. Let l = 0.0741 - -3.9259. What is the closest to i in l, a, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2902 is divided by 723?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 6. Determine m(16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 16158754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q + 96 = -21*q. Let d(h) be the first derivative of -1\/6*h**4 + 0*h + 4\/3*h**2 + q + 0*h**3. Let d(z) = 0. What is z?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - m**2. Let i(g) = 3*g**3 - 2*g**2 - 8*g. Suppose 9*h + 11 = -43 + 18. Calculate h*k(y) + 2*i(y).\nAnswer: 2*y**3 - 16*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -77*t + 118. Let v(f) = 26*f - 39. Let w(y) = -3*k(y) - 8*v(y). Differentiate w(s) with respect to s.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**9)*o**(-6\/11)\/o)**(-1\/29) assuming o is positive.\nAnswer: o**(-82\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = r - 7, 16963*r = -4*d + 16975*r + 44 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 19 and -39649933.55.\nAnswer: -39649914.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1177 + 1256. Calculate the remainder when u is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 128*r + 3157. What is the units digit of d(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 20, 22, 5, 1\/8, 278 in descending order.\nAnswer: 278, 22, 20, 5, 4, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3*x + 2 + (1 + 0 + 2)*(-14 + 19 + 17)*(2*x - 2*x - 2*x) to z + g*x and give g.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y. Let v be u(4). Suppose 0 = -3*w - 2 - v, 0 = c - w - 10. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.0169, -0.1, 1, -0.17, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*r + r**4 + 4)*(-3 - 5*r + 3).\nAnswer: -5*r**5 - 10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 10. Suppose -2*c - 50 = -b*c. Suppose p - c = 4*h, -18 = -2*p - 3*p + 4*h. Solve -f = -0 - p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m - 1. Let s be v(9). Let d(a) be the third derivative of a**5\/30 - a**4\/2 + a**3\/3 + 2*a**2. Is d(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.518 to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfff when four letters picked without replacement from vvvvfcccccvvcvcfccv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-56)\/(-24) - (-2)\/3. Let r be b - (3 - -2) - -8. Solve 11 = -2*u - 5*j, -j - 16 = r*u - u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -14, -0.03569 in increasing order.\nAnswer: -17, -14, -0.03569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613965287.\nAnswer: 13, 67, 704897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + (sqrt(242) + (-1 + sqrt(242) + 0 - sqrt(242)) + sqrt(242))*5)*5)**2.\nAnswer: -198000*sqrt(2) + 2428100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -6*w - 4. Let g be (-2 - w)*(-34)\/6. Let s = 23 - g. Solve -s = 4*x + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 12:02 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.5 - 21. Let t = -2\/391 - 1546\/3519. Which is the second smallest value? (a) v (b) 1\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3931159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*v**2 + 13*v**2 + 48*v**2)*(-4*v + 2*v + 0*v)*(-4*v + 3*v - v + 1) to the form g*v**4 + d*v + u*v**3 + l*v**2 + p and give u.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16498484, -16498479, -16498474, -16498469, -16498464?\n\"Answer: 5*k - 16498489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -8*v**5\/3 + 1238672*v**4\/9 - 15979487854*v**3\/9 - 24864080986*v**2\/3 - 73268395840*v\/9 + 33302643200\/9 = 0?\nAnswer: -5\/2, 1\/3, 25808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 2344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/5*-9*7\/(-42).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-35)*l)\/l**(2\/65))\/((l\/(l\/(l\/(l*l**(17\/2)))))\/(l*l**32*l*l*l)) assuming l is positive.\nAnswer: l**(1491\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 12:44 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**(-3)*m)**(-14)\/(m**(-7)*m**(2\/15)*m))**(-27))**(-2\/131) assuming m is positive.\nAnswer: m**(1584\/655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 379\/((-1 + 2)\/(2\/2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6 - -10702?\nAnswer: 10708.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7673634 microseconds in minutes?\nAnswer: 0.00000001278939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -5, -2, -4.\nAnswer: -6, -5, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*m = 3, -2*m + 1 = 5*i - 6. Sort 12, -5\/3, i in descending order.\nAnswer: 12, i, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzzzzzzzzzzkz. Give prob of picking 4 z.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.75 + 4.35. Let o = 0.1 - n. What is the biggest value in 3, 0.2, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5*((1 + 1 + sqrt(468) - (sqrt(468) + 0 + -4)) + 0 + 4) + -4)**2.\nAnswer: 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579529 is divided by 487?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -183 - -182. What is the third smallest value in 0, 0.39, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 9:03 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*x = 43*x + 3*k + 34, 28 = 5*x - 3*k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -26 (c) 0.14 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - -37.08. What is the closest to m in 0.5, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 2\/9 (c) -1592 (d) -0.15 (e) 14\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7*p. Let t(u) = 4*u**2 + 3*u + 3. Suppose 54 = 3*r + 6*r. Let q(z) = -23*z**2 - 17*z - 17. Let f(x) = r*q(x) + 34*t(x). Determine g(f(v)).\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/976 + -66377\/2928. Find the common denominator of s and 53\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - d**2 + 2*d + 2. Suppose -3*c - 6 = 3*i - 3, 0 = 2*i - 5*c - 5. Calculate l(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 + -22) - (4471 - 4468)*(-2)\/6?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(10\/(80\/(-12))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from vuzvv?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 116 = -4*p, 4*f + 66 = -p + 197. Let b(v) = -69*v + 351. Let l be b(5). Suppose l*t = f - 2. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27705268.87 to the nearest 100.\nAnswer: 27705300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 10382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*f + 2 = -35*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.2 - 2.8. Let y = k + -2. Which is the third biggest value? (a) -0.4 (b) y (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 79225, 79182, 79141, 79102?\n\"Answer: o**2 - 46*o + 79270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9.5 - -0.108444\nAnswer: 9.608444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -203.01 + 198. Let n = -10210 - -10215.351. Let g = n + y. What is g rounded to 2 dps?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31\/3 - 15. Let a = 51\/32 - 25939\/16416. Let g = a + -9419\/1026. Calculate the common denominator of g and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -93449.3 from 396669907.\nAnswer: 396763356.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12459 - -8859. Let b be ((-2)\/(-6))\/((-30)\/g). Suppose 0 = s - 181 - b. What are the prime factors of s?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205 - 31*q + 3*q - 204 - 17*q.\nAnswer: -45*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63.98873811 + 0.01195189. Let l = 64 - s. Round l to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 210 = 2*z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**4 - 261*q**3 - 2*q**2 + 351*q - 6?\nAnswer: -24*q - 1566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**4 - 5*v**3 + 3*v**2 + v - 2. Let s(o) = 2*o**4 - 4*o**3 + 3*o**2 + o - 2. Let l(g) = 3*a(g) - 4*s(g). Factor l(u).\nAnswer: (u - 1)**2*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 22. Let p = 19 + b. Suppose 0 = a + y - 49, y = p*a - 264 + 31. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 926874 a multiple of 466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8482850, -8482843, -8482840, -8482847, -8482870?\n\"Answer: -i**3 + 4*i**2 + 2*i - 8482855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1948, -11577, -27620, -50077?\nAnswer: -78948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**4 + 26588*o**3 - 4776848*o**2 - 9872592*o + 38639808 = 0.\nAnswer: -6822, -4, 2, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.097? (a) 1130 (b) -5 (c) -4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a century in years?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 45. Let f(u) = -u**3 - 23*u**2 + 2*u + 55. Let w be f(a). Which is smaller: w or 39\/5?\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 656782?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 10:54 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 greater than or equal to 11100\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 552, 1099, 1644, 2187?\nAnswer: 2728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 2 = 3*i + 2*i, 3*z - 4*i - 3 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4*(-3 - (-10102)\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -7. Suppose 4*t - 310 = -a*v, 4*v - 3*t - 324 = 2*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5315396999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100 - 98. Let p be -4 + 6 + 2 - z. Calculate the highest common factor of p and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(-r + 0 + 0) - 2*r - 1 + 1 + (14 + 17 - 1)*(-45*r - 99*r - 38*r).\nAnswer: -5461*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(288) + 2 + sqrt(288)))**2 + sqrt(288) - sqrt(288)) + 3*-4*sqrt(288).\nAnswer: 720*sqrt(2) + 10404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*y - 2 - 11 = 0, 19 = -3*m + 4*y. Let p = -17 - -19. Suppose -2*l + 2 = -p. Which is the third biggest value? (a) l (b) m (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -36, 6, 1, 237 in decreasing order.\nAnswer: 237, 18, 6, 1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -831132534, -831132536, -831132538, -831132540?\nAnswer: -831132542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, d: 1}. Give prob of picking 1 j and 1 d.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 + 23*p - 15. Calculate a(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13036 + -3?\nAnswer: 13033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2 + 4. Suppose -2 = -3*d + 1. Let o(j) = -j**2 + 10*j + 13. Let g be o(11). Let y(r) = -r**2 - r**2 - d + r**g. What is u(c) + 5*y(c)?\nAnswer: -c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6496 - 2301. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/(w\/((w\/w**18)\/w))))\/(w\/w**(-1\/4)*w) assuming w is positive.\nAnswer: w**(63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4665, -38232, -129319, -306684, -599085?\nAnswer: -1035280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x*x**(-2\/17)))\/x*x)\/x*x**2)\/(x\/(x\/x**(1\/10)*x)*x**(-2\/5)))\/((x**(2\/17)\/x)\/(x\/x**(-5\/3)))**(-34) assuming x is positive.\nAnswer: x**(-60307\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001569 rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 7:35 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - f**2 + f + 5. Let a be y(0). Let v(d) = -4*d**3 + 2*d**2 - d. Let z be v(1). Let k = 4 + -6. Sort a, z, k.\nAnswer: z, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -537, 35, 981, 2295, 3971, 6003?\nAnswer: 8385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4355845 to the power of 1\/2, to the nearest integer?\nAnswer: 2087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/28 + (-9)\/26?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*i = 25*i + 546. Calculate the remainder when 303 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6 (b) -0.43235 (c) 3 (d) -4\/9 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 158489519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-68)\/16 + 4 - 0. Put k, -0.5, 1 in ascending order.\nAnswer: -0.5, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 23*k - 20*k = -2, -5*k - 18 = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0.3 (c) -0.4 (d) -3143\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/11*u**4 - 2\/11*u + 2\/11*u**3 - 2\/11*u**2 + 0 = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*7272236\nAnswer: -7272236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r**2 + 0*r**2 - 3*r**2 - 3*r**2 + 5*r**2 - r**2 + (-3*r + 3*r - 5*r)*(-2*r + r + 3*r) to g + j*r**2 + i*r and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 96*r - 13722. Let u be l(145). Let z be (-56)\/(-3) + (-2)\/3. Calculate the greatest common factor of z and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.473 + 21.573. Which is smaller: -2744 or g?\nAnswer: -2744","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.7 - 4. Suppose g + 5 = -4*c - 4, -5*c = 15. Let t = 23 + -27. What is the nearest to p in g, 3\/5, t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4644 and 860.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4087\/2 - -1921. Let c = x - -123. Factor -1\/2*m + 0 + c*m**2.\nAnswer: m*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/49821457?\nAnswer: -1\/49821457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (5 - -5)*9. Let q = -90 - j. Let k(y) = y**3 - 6*y**2 + 3*y + 7. Let r be k(5). Sort 2, r, q in descending order.\nAnswer: 2, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 4*p**2 - 4*p. Let w be -4*(18\/(-8))\/(-3). Calculate x(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 892 + -885. Let b(j) = 5*j - 9. Determine b(w).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3558439, -7116900, -10675387, -14233912, -17792487, -21351124, -24909835?\n\"Answer: -2*g**3 - g**2 - 3558444*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2*(-9)\/6 - 3)\/1. Suppose a = -3*y - 2*i + 30 + 4, -5*i = -25. Is y greater than or equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1908\/901 + 4\/(-34). Solve 2*o - l*c + 16 = 0, c - 2 = 3*o + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.9 + -0.1. Let f = -2 + -1. Let p = f + 3. What is the second smallest value in l, -3\/2, p?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*o - 13*o + 109 = -107 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -30265 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-14) - (-1920)\/1344. Calculate the greatest common factor of 878 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -15*m**3 - 10 - 7*m - 23 + 13*m**2 + 14*m**3 + 9. What is the remainder when s(8) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*7*90\/525?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 - 98. Let w = -16 - k. Put 2\/27, w, -3, 0.3 in decreasing order.\nAnswer: 0.3, 2\/27, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -15. Let p(g) = -246*g + 4. Let d be p(s). Suppose 2*i - d = -5*y, -2*y - 116 - 647 = -3*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 0. Let w(f) = f**3 - 14*f**2 - 52*f + 22. Let d = -13 + 30. Let y be w(d). What is the third biggest value in z, 4, 0.03, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -5*i + 5*o - 6, 3*o = 15. Let a be (2700\/(-120))\/(2 + i). Factor a - 9*g + 3\/2*g**2.\nAnswer: 3*(g - 5)*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -3*n + 2*a + 2, 3*n - 3*a + 15 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 3)\/((-9)\/(270\/20)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*x + 54, 439*z - 444*z - 2*x = -33. What is the remainder when 352 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 8 = 2*d. Let m = 2874 - 2869. Suppose -m*y = -d, -2*p - y - 140 = -3*p. What is the highest common factor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -15, -5*t + 10*t - 55 = p. Let a(x) = 7*x**3 + x**2 - 4*x + 3. Let g be a(3). What is the units digit of (-2)\/(-8) + g\/t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1338189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 808 and 2616102.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16872732 bigger than 16872737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 16*d**2 + 15*d - 10. Let w be x(15). Let u(b) = b**2 + 10*b + 15. Let g be u(w). Is (-168)\/(-20)*g\/6 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one halves of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74 and 3827.\nAnswer: 283198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 8, -1.\nAnswer: -1, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 61, 120, 199?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 12280.\nAnswer: 61400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1131, 2311, 3491, 4671, 5851, 7031?\n\"Answer: 1180*m - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 27*j - 3 + 5*j + 2 - 4*j. Let b be p(-4). Let d = -39 - b. What are the prime factors of d?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*sqrt(1900)*4 + -3)**2.\nAnswer: 80*sqrt(19) + 30401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 0 = -4*c - 8, 3*c + 12 = 5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 - 81\/34)*288\/(-216) and 107\/10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*g - 60078 = -369*g - 541*g for g.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -18*q - 15. Give z(-8).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/8)*w**(-1\/3)*w*w*w\/(w\/w**(9\/5))*w*w**(1\/3) assuming w is positive.\nAnswer: w**(177\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + (-33)\/(-9))*(1 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*6*4\/16)\/(1155\/154).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*t + 2*c - 22, 3*t = 3*c + 42. Suppose -155 = -t*y + 16. Sort y, -5, 3, 1.\nAnswer: -5, 1, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 685, 1371, 2057?\n\"Answer: 686*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3133, 6264, 9395, 12526, 15657, 18788?\nAnswer: 21919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c + 5 = 0. Is c greater than -3\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7\/4 (b) -7 (c) -8\/7 (d) -69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 - 1.09. Let q = i - 0.01. Which is the closest to q? (a) 0.08 (b) 2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**2 + b - 2. Let m be u(2). Suppose -4*y - s = -22, 0 = -2*y + 4*s + 8 + m. Solve v + 4 = y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 1 + f**2 + f**2 - 3 to l*f**2 + k*f + y and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 817206 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-720)\/(-35))\/(-6)*-7. Find the third derivative of 0*m - 439*m**5 + 0*m + n*m**2 + 441*m**5 wrt m.\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -19 - 1\/2*k**2 + 0*k. Let i(o) = 4*o**2. Calculate i(a(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a century?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -284213, -284217, -284221, -284225?\nAnswer: -284229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 100. Let i = 65 - s. What is the greatest common factor of 8 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3332087181?\nAnswer: 3, 1607, 230387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 21319337 = -6129232. Let d be 13 + u + (2 + 1 - 1). What is d rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1675848017 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 929381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -184 - -177. Which is the nearest to 0.1? (a) q (b) -2\/9 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1\/40 (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*d - 0. Let h(u) = -72*u**3 - 2*u**2 - u + 5. Let b be h(d). Calculate the common denominator of 41\/18 and 1 - (b\/40 + -3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**2 - 8*z + 55. Determine c(-11).\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(((-20)\/4)\/(-40)). What is the hundreds digit of (-10)\/(y\/12*15\/635)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-seven halves of a meter?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**4\/4 + 4*t**3 + 9*t**2 - 9*t - 2. Is 15 a factor of p(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17934891*t**6 - t**2 + 11465957 wrt t?\nAnswer: 2152186920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -11*u + 6. Let a(v) = 24*v - 13. Let q(i) = 6*a(i) + 13*l(i). Let b(o) = -2*o - 3 + 3*o - 3*o. Give q(b(x)).\nAnswer: -2*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16, 69, 166, 313, 516, 781, 1114?\n\"Answer: i**3 + 16*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 3*p**2 - 7. What is the remainder when d(-5) is divided by (-33)\/2*6\/(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4070 (base 13) to base 10.\nAnswer: -8879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001289848 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1356 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6, -5, -22, -45, -74, -109?\n\"Answer: -3*z**2 - 2*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7*t**2 + 3*t**2 + 14*t**2 - 7*t**2 - 147. Let y(j) = 5*j**2 - 49. Let x(r) = 4*a(r) - 11*y(r). Differentiate x(z) with respect to z.\nAnswer: 26*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417211706 is divided by 44746?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6387\/(-6)*(-4 + 0\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218372827 to the power of 1\/2, to the nearest integer?\nAnswer: 14777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 195, 316?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1437, 2856, 4275, 5694, 7113?\n\"Answer: 1419*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 195*u**2 - 15*u - 5. Let s(a) = 39*a**2 - 3*a - 1. Let c(k) = 22*s(k) - 4*v(k). Let h be c(-4). Is (-4)\/6 + (-13)\/((-195)\/h) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/32 + -9*6\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**2 + 47*g + 3. What are the prime factors of v(-30)?\nAnswer: 3, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, g: 2, i: 2}. Give prob of picking 1 d and 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9522, 38298, 86302, 153534?\nAnswer: 239994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -21*u**2 - 4*u - 16. What is v(-3)?\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 0*i - 11 = 5*f - 1, -2*i + 2*f = -16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 1\/20*q**5 - 2*q**2 - 40*q + 0 + 1\/2*q**4 + 2*q**3. Find o such that b(o) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 1. Let p(t) = -14*t - 10. Let k(g) = g + 1. Suppose 1 = 2*b - b. Let j(i) = b*p(i) + 4*k(i). Suppose 5*l - 9 - 31 = 0. Give l*y(f) - j(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + sqrt(539) + -2)**2.\nAnswer: -14*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2422?\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(2)*2 - (-2 + sqrt(6)\/sqrt(3)).\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3411\/8 + -426. Which is the closest to 2? (a) k (b) -1 (c) -0.04 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/7, 2, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*-1*12\/180. What is the biggest value in 0.08, 2\/5, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58940 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*t**4 + 22*t**3 - 68*t**2 - 99*t - 29 wrt t?\nAnswer: 108*t**2 + 132*t - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 47\/(5687\/66)*11\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czaqz. Give prob of picking 1 a and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582 is divided by 83.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c - 7. Let t(f) = -f - 1. Let d(p) = -2*m(p) + 14*t(p). Suppose -4*n + n + 19 = 2*y, -3*n + 13 = -y. Let q(v) = 4 - 2*v**2 - y - 2. Give q(d(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-48)\/(-21) - ((-1782)\/(-847) - 2).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d. Let b(o) be the third derivative of -o**6\/60 - 5*o**4\/24 + 5*o**3\/6 - 1617*o**2. What is b(r) - 5*s(r)?\nAnswer: -2*r**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 347031.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5226.235 weeks to milliseconds.\nAnswer: 3160826928000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10*o - 39. Let j be v(5). Suppose -z - 10 = -8. Let y = z + 35. Calculate the highest common divisor of j and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*1*10\/(-2). Suppose 2*a - 3*a + j = 0. Suppose -4\/9*t + 2\/3*t**a + 0 - 2\/9*t**3 + 10\/9*t**4 - 10\/9*t**2 = 0. Calculate t.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**4\/3 + 46*a**3\/9 - 31*a**2\/9 - 4*a\/9 + 4\/9 = 0?\nAnswer: -1\/3, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*(sqrt(17) + sqrt(17) + -1 + 2) + 5 - (2*(0 + (sqrt(17) - (sqrt(51)\/sqrt(3) - sqrt(17)))) + 1)) + -1.\nAnswer: 8 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.33 + -0.17. Let v = 6.5 + c. Is v equal to -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 19*m**2 + 4*m. Let g(p) be the third derivative of p**4\/24 - 2100*p**2. Determine 4*g(s) - k(s).\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.755 - 369829?\nAnswer: -369828.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.1, 0.293, -3, -2, 0, -72, -0.9?\nAnswer: 0.293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7314 divided by -159\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - t = 13*r - 11, 4*t + 25 = 3*r. Solve 5*h - 11 = -r*x, 5*x - 1 = -5*h + 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 76 + 6 = 0. Let i be 3*(2 - (-26)\/k). Let r = -0.07 - -2.07. What is the third biggest value in i, r, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 130\/(-4) - 27\/54. Let h(f) = -f**3 - 34*f**2 - 34*f - 39. Give h(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5747.\nAnswer: 7, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/5, 3, 0.24, -5?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -2. Suppose -2*b = b - 3. What is the lowest common multiple of x and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 12*l**3 - 56*l**2 - 20*l + 34. Let h(y) = 13*y**3 - 60*y**2 - 22*y + 34. Let b(n) = -14*c(n) + 13*h(n). What is b(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.49199 to 3 decimal places.\nAnswer: 0.492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.02 (b) 0.5 (c) -2\/11 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16266 - 16266. Let r(x) be the second derivative of g - 3\/5*x**5 + 0*x**2 + 2\/75*x**6 - 50\/3*x**3 + 5*x**4 + 18*x. Factor r(n).\nAnswer: 4*n*(n - 5)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 6. Let k be v(-5). Suppose -w = -k + 5. Sort -3, 3, w.\nAnswer: w, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (90336\/9)\/1 + 12\/(-36) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - z - 4*z)*(-z**2 + 0*z**2 + 2*z**2)*(1 - 2*z - 1) + z**4 + z**2 - z**2 as x*z + o*z**4 + y + m*z**3 + p*z**2 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -220*g**2 - 230*g**2 - 775*g**4 + 450*g**2 - 634*g wrt g.\nAnswer: -9300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from dspnqsphh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 106 + -332. Is (-12 - -14)*v\/(-4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/13, -2, -0.3, 1029\/32 in increasing order.\nAnswer: -2, -0.3, -1\/13, 1029\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r**2 - 8*r + 10. What is b(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4 = -4*a, -3*j + 5*a = -0 + 3. Let q(s) = -9*s**3. Is q(j) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2822 - 161.376165.\nAnswer: -161.658365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x + 42. Let b be v(-10). Suppose 3*s + b*j - 4*j = 338, -3*s = 2*j - 322. List the prime factors of s.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*m*n**2 - 33*m*p + 867*m - 583*n**3*p - 3*n**3 - 6*n**2 + 4*n*p**2 wrt p.\nAnswer: -33*m - 583*n**3 + 8*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-1\/10))\/(a*a**(-1\/6))*a\/a**(-1\/6)*a**(-8))**(1\/84))**(2\/21) assuming a is positive.\nAnswer: a**(-29\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06711 + 0.0655581. Round h to 5 dps.\nAnswer: -0.00155","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w + 11. Let z(k) = -6*k + 10. Let h(v) = 5*l(v) - 4*z(v). Let u be h(8). Let q = 10 - u. Solve -10 = q*t + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 187*s**4 - 12*s**3 + 2*s**2 - 1345*s + 1 wrt s.\nAnswer: 2244*s**2 - 72*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 867566*153\nAnswer: 132737598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001131574 to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41106433.\nAnswer: 41106433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 19)*(180 - 456*i + 179 - 538 + 179) + 3 - 3 + 2*i.\nAnswer: 7298*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2129642 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/(a*a*a**(1\/9)\/a)))\/(a\/(a**10\/a)))**(1\/47) assuming a is positive.\nAnswer: a**(73\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2026481*n**6 + 2*n**3 + 4278010*n**2.\nAnswer: 243177720*n**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2037 + 403*n - 2037.\nAnswer: 403*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -83382 times -0.2186?\nAnswer: 18227.3052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 p when two letters picked without replacement from fvtpfgiv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 125*i - 1989. What is x(16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*i - 2*i = -21, 2*z - 30 = -5*i. Suppose z*l + 4 = 4. Let c be (-7 + 13)\/(l + -2 + 4). Solve c*u = u - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -1\/3*v**3 + 5\/2*v**2 - 9 + v. Let q be f(4). Calculate the greatest common factor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 + 2*f**2 + f + 1. Let x(j) = -3*j**3 + 5*j**2 + 2*j - 98. Determine 2*i(h) - x(h).\nAnswer: -h**3 - h**2 + 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.932 - 103.89. Let t = w + 103. Round t to 3 dps.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + 8 + 9 - 4) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-44) + 190944\/88?\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/1683 and 181\/2505120?\nAnswer: 82668960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/10 (b) -1 (c) -2\/63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 835*u**2 + 1339*u wrt u.\nAnswer: 1670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 11*d**2 + 6. Let c be x(-11). Let n = c - 3. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**4\/12 - l**3 + 5*l**2 + 12*l. Let d be y(-7). Suppose d*k + k - 56 = 0. Calculate the remainder when 24 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 11:37 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -4, -27 in descending order.\nAnswer: 2, 1, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(1539))**2 + 3 - ((sqrt(19) + 1)*6)**2*-3) + 1.\nAnswer: 216*sqrt(19) + 40639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 1:01 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, 166, 163, 158, 151, 142, 131?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 18 = 4*h, -k + 4*k = -5*h + 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4\/7 + 366*m**3\/7 - 1480*m**2\/7 = 0. Calculate m.\nAnswer: -370, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((d - 5*d - 9*d)*(6 - 3 - 1) - 3*d - 3*d + 4*d)*(6*d**2 - 2*d**2 + 1 + 3*d**2).\nAnswer: -196*d**3 - 28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 4*c - 14812 - 21174, 0 = 6*g + 5*c - 107993. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12347 = -473*s + 8938 for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 217 - 217. Suppose -14*a + 3*s - 277 = -16*a, j = a + 3*s - 134. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3581 (base 16) to base 8.\nAnswer: -32601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**5 + 205*u**4 + 6015*u**3 - 19225*u**2 + 19610*u - 6600 = 0.\nAnswer: -22, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/56 - (20\/16)\/(35\/(-3829)).\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + b5abab58?\nAnswer: b5abab58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - 8*-6*7\/(-168) - -2546. What is the greatest common divisor of 171 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 9*h - 6 = b - h - 3*h, -2*b + 4*h = -6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12889*c - 458*c - 6866*c.\nAnswer: -20213*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 5) in base 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42 in 1\/9, 2, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534*g**3 + 1545*g**3 - 497*g**3 - 26*g**2 - 512*g**3 + 26*g**2.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 252618979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -10. What is the second derivative of 3 + r*o**3 - 6 + o + 3 wrt o?\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*y + 1. Suppose -16 = -y*w + 4*z, 2*w + 2*w = -5*z - 7. Let u = -38.7 - -39. Which is the second biggest value? (a) -1\/2 (b) w (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -63221251 less than -821876280\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**3\/6 + 125*v**2\/6 + 1281*v\/2 - 1323\/2 = 0?\nAnswer: -63, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(16\/5)*r**(1\/11))\/(r*r**(-2\/3))**(-17) assuming r is positive.\nAnswer: r**(1478\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4189 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 2, 7, 14, 23?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -d6539 (base 14) to base 15\nAnswer: -a3253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1044 divided by -390895.\nAnswer: -1044\/390895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16515 - -22?\nAnswer: -16463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l + 6 = -15*l - 3*z, -5*z = 5*l + 40 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = -114 + 102 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-63))\/(2570\/(-4626))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*g**3 + 106737*g**2 - 3025074 wrt g?\nAnswer: -36*g**2 + 213474*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*i + 55 - 99. Suppose i*h = -4, s + h - 1638 = -0*h. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*w + 158*w + 163*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/5 (b) -2\/13 (c) -4 (d) -61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mim when three letters picked without replacement from mmmiimim?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14931690.\nAnswer: 2, 3, 5, 53, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0227938 equal to 4\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7971837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 k when two letters picked without replacement from {k: 1, u: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or 1\/30?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 12 = -2*z, -3*h - 2*z - z + 6 = 0. Suppose 383 = n - a, 3*a - h = -10. What are the prime factors of n?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.7 and -37914.33297095.\nAnswer: -37915.03297095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 2*z + 20, 4*t - 4*z = -8*z - 8 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 111 = 3*t - 5*c, -3*t = -2*c - 316. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 8*s + 2. Let q(l) = 7*l + 2. Let p be (-18)\/4 - (-4)\/(-8). Let u(d) = p*i(d) + 6*q(d). Let m be u(-2). Put 1, m, -5 in decreasing order.\nAnswer: 1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 3*z - 110. Let w(h) = -2*h + 30. Let a be w(-7). What is the greatest common divisor of a and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqbbkwbqsqqjbqqjb. What is prob of sequence sk?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 27.1. Let r = -2.1 + u. Let a = 4 - 7. What is the third smallest value in r, 2\/9, a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.1, 1\/4, 429?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 121 + 3*b - 3*b - 114 + 4*b as w + v*b and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/(-1)*12\/(-12). Suppose 4*w - s = y, -3*w + 6*w + 4*s = 2. Solve a - 3*a - 2*i = w, -2*a - 9 = -i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.13, -1\/230, 0.9, -3\/7 in descending order.\nAnswer: 0.9, 0.13, -1\/230, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**5\/4 - 37427*g**4\/2 + 155912*g**3 - 910463*g**2\/2 + 2170077*g\/4 - 224487 = 0.\nAnswer: 1, 4\/3, 3, 24943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644 is divided by 224.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*s - 310*s + 2 - 73*s)*(-2*s**4 - s**4 + 5*s**4).\nAnswer: -852*s**5 + 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -322 + 324. Let w(c) = -93 + 27 - c**y + 5*c + 31 + 31. Let j = 11 - 6. Calculate w(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.6696 - -7.6696. Let z = -42 - -39.7. Which is the closest to g? (a) z (b) 0.3 (c) 4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 301 = 73 - 132. Solve 0 = -160*w + 154*w + x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 100?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 16 - 116*l - l**2 - 3*l**2 - 112*l - l**3 + 238*l. Give k(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-5)*(-3416)\/25620.\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: a652 (base 15) to base 8\nAnswer: 104551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**4 - 809742*s**3 + 72853837308*s**2 - 2184959434164402*s + 2184886581136833 = 0. Calculate s.\nAnswer: 1, 89971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(5\/2))\/((u*u*u**(1\/9)\/u)\/u))**31\/((u**(2\/7)\/(u**(1\/5)*u*u))\/(u*u\/((u**(-1\/7)*u)\/u*u)*u*u\/(u\/(u**(1\/4)*u*u)))) assuming u is positive.\nAnswer: u**(140317\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 + 11 = 38*k + 26. Let u(r) = -13*r + 33. Calculate u(k).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1140 in 2\/15, 0.2, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 300 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 44717, 178217, 400717, 712217, 1112717, 1602217, 2180717?\n\"Answer: 44500*z**2 + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -170.9065 rounded to zero dps?\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46*s**5 - 4*s**3 + 6*s**4 + 62*s**5 + 6*s**4.\nAnswer: 4*s**3*(s + 1)*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 14*j - 8. What is the tens digit of a(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 674 and 79403.\nAnswer: 53517622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and -751472 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 43*u = 215634 - 40364. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 + 0 + 0)*(0 + 5 + 2) + (3*q + 0*q + 0*q)*(q**2 - 2*q**2 - q**2) + 6*q**3 + 6*q**3 + 4*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m - 5. Let a be q(-5). Suppose h = 6*h + a*z + 25, -5*h - 4*z = 21. Let r be -2 - (73\/(-18) + 2). Which is smaller: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -189 divided by 313105\nAnswer: -189\/313105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k + 4. Let f(o) = -o**2 + 5*o - 5. Suppose -4*n + 2*n = 9 - 15. Calculate n*f(g) + 4*h(g).\nAnswer: -3*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*q - 4049 - 2367 - 4777 = 417 for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s + 15*s + 0*s**3 + 15 + s**3 + 11*s**2. Let o be z(-10). Suppose o*l = 2*l. Solve l = -4*q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 11814*t + 94576.\nAnswer: -(t - 11822)*(t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -10*q - 25, 39*n - 5*q + 5 = 34*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22474, 22492, 22510, 22528, 22546, 22564?\nAnswer: 22582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**3\/9 - 7*r**2\/2 + 22*r\/3 + 33. Factor d(q).\nAnswer: -(q - 1)*(q + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191 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 h(q) = -2*q**2 - 10501*q + 519239. What is h(49)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, u: 1, q: 1, v: 9, f: 5}. Give prob of sequence ffuf.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1730 in 0.5, -79, 2\/3?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/35*(-2576)\/(-69).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 501000252 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(75\/85)*(-4)\/(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 343418508457465 and -0.1.\nAnswer: 343418508457464.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q - 1. Let f = 0 - -2. Let o be s(f). Let x be -14*66\/(-77) + -10. Which is the second smallest value? (a) 0.3 (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 38*b**2 + 111*b - 1238. Let v be g(40). Factor -3\/2*u + 0 - 23\/4*u**v - 7\/4*u**3.\nAnswer: -u*(u + 3)*(7*u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + f + 2 + 5 = 2*f, 0 = -9*f - 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*q - 0*q. Suppose -5*c + 16 + 4 = 0. Solve -n - 16 = 4*y, q*y - c*y + 19 = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 12:17 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 28*q**2 - 91*q + 127. Calculate b(-24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22407721 is divided by 1723670?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 2:29 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 2*k**2 + 3*k - 3. Let a be w(2). Let z(p) = -4 - 10*p**2 + 6*p**2 + 1 - p**a - 3*p. Calculate z(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*i - 50 = 3*i, -4*h - 3*i = -108. Suppose 4*t - 32 = -2*x, 2*t + x = -2*t + h. Solve 5*n - 3*q - 14 = t, n - q - 5 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6 = 2*v, 2 = j - 0. List the prime factors of v + 28 + 2 + -3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + 0.2. Let o be 296\/48 + 6*-1. Sort n, o, 0.03.\nAnswer: 0.03, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.41 - -2.59. Let l = 4 + -2. Let d = l - 2. Which is the second biggest value? (a) d (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) -1128750 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-723)\/(-45) + (-20)\/100. Is -3 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.3 and -12.2?\nAnswer: 13.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hthxbxhtth. Give prob of picking 2 x and 1 b.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/370*2*(4620\/(-126))\/(-11).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -8523\nAnswer: -2556.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 325071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.653947 greater than -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 199, 603, 1397, 2713, 4683, 7439, 11113?\nAnswer: 15837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*h + 14 = 6*h, -h + 47 = -5*z. Let f be (2\/z*-3)\/1. Let l(g) = g**3 - 5*g**2 - 7*g + 8. Let y be l(6). Is y equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*l - 9. Find the common denominator of ((-225)\/(-21))\/(l\/(-7)) and ((-33)\/(-45))\/(10\/125).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 2\/7 (c) -0.02 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 30 + 3 = 3*t, -4*o - 52 = -5*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 165\nAnswer: 165.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 3*c - 4*c)*(-2*c**4 + 10*c**4 + 291*c - 333*c).\nAnswer: -16*c**5 + 84*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6454 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91\/31 + -77\/248. Calculate the common denominator of i and 7\/500.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 + 4*w**2 + 4*w - 1. Let k(m) = -7*m**3 + 11*m**2 + 11*m - 3. Give -4*k(d) + 11*x(d).\nAnswer: 6*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p. Suppose 0*q = -3*q + 6. Let x(v) = -23 + 7*v**q + 20 - 32*v**2. Determine x(f(r)).\nAnswer: -100*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*l + 15642 = -17*l. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**2 + 1395*r + 1392 = 0.\nAnswer: -464, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -8*w + 48. Let q = 12 - w. Suppose -141 = -q*j + 59. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.2 (b) -356 (c) 3035\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17\/39 - 3\/13. What is the nearest to s in 0.4, 2, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from omooommoomom?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1104 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003066413 to six dps.\nAnswer: 0.003066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 44*b + 552. Give a(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 122, -0.1, 0.3, -2, -3.03 in decreasing order.\nAnswer: 122, 0.3, -0.1, -2, -3, -3.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 = n, -21 = 4*m + 5*n - 0*n. Let b = m + 27. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 8:43 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 9*i - 11*i = 29*i - 168. Find d such that 75\/2*d + 45\/2*d**2 + 0 - 27\/2*d**3 + 3\/2*d**i = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4 + 4*i**3 - 20*i**2 + 12*i.\nAnswer: 4*i*(i - 1)**2*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41667 - -61481. List the prime factors of p.\nAnswer: 2, 9907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -641369, -1282789, -1924223, -2565665, -3207109?\n\"Answer: g**3 - 13*g**2 - 641388*g + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*(-2 + (1*(1 + sqrt(112)) - (sqrt(112) + (0 + sqrt(112) - sqrt(112))*6))*-4 + 2)**2.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -60 and -4011.829.\nAnswer: -4071.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1873 > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 44, -10.\nAnswer: -10, 44, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -30\/71?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-11))\/((-280)\/160*(-24)\/21). Which is the closest to 0? (a) 0 (b) m (c) -6 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13\/3 or 2691?\nAnswer: 2691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 26*m + 270 + 1\/2*m**2. Give l(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191853 to the power of 1\/2, to the nearest integer?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/2 and ((-2)\/(-2))\/(72\/(-510)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8003, 16805, 26669, 37601, 49607?\n\"Answer: k**3 + 525*k**2 + 7220*k + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 463233225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*b - 4 = 4, 29 = -5*s + 2*b. Let o = s + 0. Is o >= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a = -3*i - 150, -24*a + i = -27*a - i + 10 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -2*n - 5*v, -3*v + 29 = 68*n - 64*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -16*w - 44. Let n(k) = k + 3. Calculate 6*i(s) + 88*n(s).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -985\/11?\nAnswer: -985\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15029592 is divided by 13981.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 5*p + 3. Let n be w(5). Solve 1 + 2 = -n*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44 or 38?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2034 - -6966?\nAnswer: 9000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1537, -1568, -1599?\nAnswer: -1630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h. Let d(s) = 904 - 10*s**2 - 904. What is w(d(t))?\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205533 (base 7) to base 6.\nAnswer: 432450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 + 4*t**2 - 286*t + 965. Determine u(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -244 - -245. Let k(n) = 23*n - 20. Let s be k(g). Solve 2*d - 7 = -s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 468702256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*j**4 - 1102 + 2207 - j - 1104 + 3*j**3 to n*j + f*j**3 + g*j**4 + a*j**2 + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 - 44*r. Let n(h) be the third derivative of -h**4\/12 + 5*h**2 + 1. Let z(f) = 2*d(f) - 44*n(f). Let s(x) = -3*x. What is s(z(i))?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 19*b + 17. Let w be r(0). Solve -4*z = -5*a + w, 8*z - 6 = 3*a + 11*z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -24.8. Let x = s - -3. Let d = -130\/3 - -43. Is x > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5147550497?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 209 - 125.6. Let u = 81 - v. Let l = 2.4 + u. Put l, -4, -3 in decreasing order.\nAnswer: l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 + 0.499836. What is b rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + 17 - 1 + 3*c - 2*c to b + v*c and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18170255?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**3 - 5*i**2 + i + 7. Let d(q) = -5*q**3 - 8*q**2 + q + 11. Calculate 5*d(a) - 8*v(a).\nAnswer: -a**3 - 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/15, -14, 14, -3\/4, 0.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c + 15. Let n(s) = -2*s - 23. Let i(y) = -5*n(y) - 8*w(y). Suppose 5*f - 70 = 3*q, 2*f + 2 - 46 = 2*q. Let a be 54\/10 - (-8)\/q. Calculate i(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -759 = -3*a + 351. Let d = -249 + a. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-380)\/(-646))\/(1\/17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10379988 + -0.81\nAnswer: 10379987.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 37, 46, 65, 94, 133, 182, 241?\n\"Answer: 5*o**2 - 6*o + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 + 258. Suppose -3*l - f - 4*f + v = 0, 5*l - 358 = -3*f. What are the prime factors of (-1)\/(((-2)\/l)\/1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(5\/6))**(10\/7)\/((((y\/y**(-5\/3))\/y)\/y)\/y**(-7\/5)))**(2\/25) assuming y is positive.\nAnswer: y**(-184\/2625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 - -38. Suppose a*y - h - 23 = 0, 0 = 5*y - h - h - 26. Suppose -y*g + 3*b = -302, g + g + b - 156 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i - 6 = 0. Let q(z) = 2*z**2 - 11*z - 2. Suppose 2*s + 0*s = 4*n + 4, -4*s = 3*n - 30. Let y be q(s). Sort y, 2, i.\nAnswer: i, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 71 + 454*q + 257 + 34 + 94.\nAnswer: -2*(q - 228)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -128 - -131. Suppose j*g - 7831 - 290 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.965 + 8.365. Which is the biggest value? (a) 5 (b) -3 (c) -24 (d) 4 (e) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, 1, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 6*v - 10. Suppose 136 = 2*h + 150. Give r(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -280*m - 84 - 60*m + 335*m + 2*m**2 as y + w*m + k*m**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, j: 1, z: 2, r: 2}. What is prob of picking 1 r and 1 j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*k + d - 18, 0 = 4*k + 5*d - 15. Solve 1 = 4*u - 4*l + 5, k*l = u - 11 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.4 + 2.4. What is the second smallest value in t, 1.3, 4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -639 + 639.00000417. What is j rounded to 7 dps?\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/9680 and -85\/8524?\nAnswer: 20628080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/3)\/(w\/((w*w*w\/w**(3\/4)*w)\/w)))\/(w*w**(-2\/5))**3*(w**(-11)*w**(-14))**(-2\/61) assuming w is positive.\nAnswer: w**(3427\/3660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68196*h + 31 = 5*x + 68194*h, 2*x = 2*h + 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 25696409+87\nAnswer: 25696496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, 353, -960, 4, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -6\/11, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-14)*(20\/(-100))\/(7\/(-2695))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 4*w - 12, -4*y + 22 = 20*w - 19*w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1693?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.057270758.\nAnswer: 0.171812274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 2301.\nAnswer: -1\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (21 - 36) + -8 + 4\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3169*w**2 - 216*w**3 + 3169*w**2 - 268*w**3 + 477*w**3.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/sqrt(3) - (1*sqrt(16))\/sqrt(8) - ((-3*sqrt(20) + sqrt(20) + sqrt(20))\/sqrt(10) + sqrt(2) - 2*sqrt(18)))**2*-1.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + w - 297 = -4*w - 0*w, 0 = 3*w - 22 - 92 - 63 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -51660.26231 - 15?\nAnswer: -51675.26231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.42 * -0.71\nAnswer: 0.2982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*p + 26, -164 = 3*d + d - 4*p. Is d != -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 2*g - 3*g + (3 + 0 - 5)*(-g + 1 - 1) + 2898 - 2896 + 519*g - 57*g)*(-1 + 5 - 3) to m*g + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/10 of a century in months?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 6 (c) 0.4 (d) 1\/2 (e) -20 (f) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24557 and 2938?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 7*f + 1. Let h(d) = d. Suppose 50 = -25*v - 75. What is v*h(j) + i(j)?\nAnswer: j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 154766173579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 61598, -6, 5, -2, 4 in ascending order.\nAnswer: -6, -2, 4, 5, 61598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/15*1)\/(((-70)\/273)\/(-5)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1443 = -5*y + 25107. Let n = y - 1501. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2 - 3, -102 = -3*z + 3*j. Let x = 80 - 59. Calculate the remainder when z is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9226.999988318 + 9227. What is a rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**6\/6 + 2*k**5 - 95*k**4\/12 + 10*k**3 - 8*k + 6. Factor g(j).\nAnswer: -5*j*(j - 4)*(j - 3)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5446 (b) -1\/4 (c) -3 (d) -4\/5 (e) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533 is divided by ((-48)\/(-504) - (-2239)\/84)*(-7 - -11).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**3 + 1172*n**2 - 4675*n + 5. Determine d(4).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30501 (base 7) in base 14?\nAnswer: 2a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -736.87 and 0.5.\nAnswer: -368.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*g - 11 - 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 o when three letters picked without replacement from {d: 3, y: 3, o: 1, m: 5, j: 4, l: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0*r + 5*r = 2440, -5 = r. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*c**3 + 4*c**3 - 3*c**3)*(-1 + 2 - 3) + c**2 - c**3 - c**2 - 2*c**3 + 3*c**3 + 0*c**3 + 3 - 4*c**3 - 3)*(-3 - 2*c**2 + 3).\nAnswer: 4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7, -24, -55, -106, -183, -292, -439, -630?\n\"Answer: -w**3 - w**2 - 7*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1995 + -1991. Solve -2*m + x*z = -8, -3*m + 6*m = 5*z + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 - -48. Let y be v\/((-4)\/6 - (-35)\/21). Let d(o) be the first derivative of -o**4\/4 - o**3\/3 - o**2\/2 + 4*o + 1. Give d(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2659\/8 + -332. What is the nearest to 2 in -3\/7, -1\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18560 - -0.614?\nAnswer: -18559.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -16.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h - 5*h + 0*h)*(-4 - 1 + 3) - 2*h - 2*h + 5*h + 310 + 25*h - 310 - 8*h - 6*h + 5*h to the form l*h + x and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-30)*4 - (-6)\/(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.608 minus -16.82?\nAnswer: -7.788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 51051.1474 to the nearest ten.\nAnswer: 51050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + a**2 + 7*a - 1. Let l be k(3). Let r(i) = -l*i**2 + 2*i + 7*i**2 + 54 - 55. What is r(2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 10. Suppose 3*k = j*k + 4. Let h = 5 + k. Solve 4 = 4*l, -l + h = -3*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1375)*-4 + sqrt(55)))\/(sqrt(15)\/(4*sqrt(243))).\nAnswer: 3420*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)\/k*k**7)\/(k**(-3)\/k*k**(1\/3)\/k) assuming k is positive.\nAnswer: k**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.447596 nanoseconds in days?\nAnswer: 0.00000000000105842125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-755)\/(-5) + -2)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -66, -132, -198, -264, -330, -396?\n\"Answer: -66*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*h + 105 = -36*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*o + 1001 = 8125 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 8. Let v be (0\/(1 - -2))\/2. Let n be l(v). Let a(k) = -k**2 - 13*k + 6. Is a(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 5*l**3\/3 - l**2\/2 - 2*l - 2. Suppose -3 = 5*j + 7. Does 7 divide x(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468 = 3*c + m - 80, -2*c = -2*m + 256. Let a = c + 577. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*(1 + (sqrt(13) - sqrt(39)\/sqrt(3)) + -3 + 3 + (-3 + -3*sqrt(13) - (2 + sqrt(13))*3)**2).\nAnswer: -550 - 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlpzxklkd. Give prob of sequence px.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.5 + 16. Let g = 5 - z. Let o = 2\/3 - 1\/3. What is the third smallest value in -2\/7, g, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/27)\/((-10)\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*w + 1215 = -23*w for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 3*z - 3*x - 214, 0 = -4*z + 2*x + 212. What is the greatest common divisor of z and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}