diff --git "a/data/dm_maths/full_data/7542_11255.jsonl" "b/data/dm_maths/full_data/7542_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/7542_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Collect the terms in 1036*g + 1023*g + 1 - 1 - 2026*g.\nAnswer: 33*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22154 and 342?\nAnswer: 199386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1090, 2185, 3282, 4381, 5482?\n\"Answer: d**2 + 1092*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)*2*2)\/(sqrt(12)*5).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4*-50 + 1. Suppose 12 = 5*x - 3. Suppose n + b = x*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 7 - 1. Solve 0 = -7*a + j*a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**4 + 2*b**3 - 2*b**3 + (3 - b - 3)*(0*b**3 - 4*b**3 + b**3) as z*b**3 + i + y*b + n*b**2 + j*b**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in years?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160442574.\nAnswer: 2, 3, 19, 1407391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2\/7 - 156616*i\/7 - 6132142864\/7 = 0.\nAnswer: -78308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3724.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**3 + 5*t - 5. Suppose -2*p = -2*d + 2, -3*p + p - 3*d = -23. Let a(c) = 3*c**3 - 4*c + 4. Give p*r(b) + 5*a(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/3 - 4268*d**2 - 9107912*d - 19436284208\/3.\nAnswer: -2*(d + 2134)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**3 - s**2 - 4. Let d = 23 + -33. Calculate the remainder when ((-28)\/d)\/(3\/15) is divided by w(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a = 9. Let u = 6 - a. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -1 + 3*d + 1. Let k be o(1). Let y be k\/9 - (-16)\/(-3). Let r(j) = j + 3. Determine r(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**2 + 74*v + 173. Calculate y(27).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 348204179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33886 - -169462\/5. Solve 0*u - y + 2\/5*u**2 = 0.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**2 - 314*q + 1595 = 0?\nAnswer: -319, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 9:20 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 109577424 and 84767?\nAnswer: 3177745296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t**3 + t**2 - 3*t. Let f(p) be the first derivative of p**4\/4 - 5. Let g be -5*8\/(-60)*63\/(-42). Give g*s(b) - 5*f(b).\nAnswer: b**3 - b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 41272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 15*f + 4. Let r be z(15). Let j(i) = i**3 - 3*i**2 + 13*i - 3. What is the units digit of j(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -246 + 233. Let z be (-5)\/(65\/(-11)) - 2\/r. Solve -5 = -h, -3*h = m - 5*m + z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngdd when four letters picked without replacement from {h: 2, z: 2, d: 1, g: 3, k: 1, n: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495) + (sqrt(495) - (1*((-2*sqrt(495) - sqrt(495) - sqrt(495) - sqrt(495)) + sqrt(495)) - sqrt(495))))\/(-5*(sqrt(1331)*-2 - sqrt(11))).\nAnswer: 21*sqrt(5)\/115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 626557 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*c + 204 + 5, 0 = -2*l + 4*c + 126. Solve -3*b = -58 + l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -557.\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 103136853*d**5 - 71795441*d**2.\nAnswer: 6188211180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 40b - 1?\nAnswer: 40a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 42. Let k = 22 + m. Calculate the highest common divisor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -207 - -209. Suppose 2*r = -0*r + 34. Suppose t = 5*x + r, -10 = t - x + 5*x. Calculate the highest common factor of t and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 5. Let l(r) = -r - 3. Let c(o) = -5*l(o) + 2*q(o). Suppose 2*u - 8 = 5*u + 4*t, 0 = -4*u + 2*t - 18. Let h(v) = 3*v + 6. Give u*h(a) + 5*c(a).\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 251 + -251. Let q(m) = m**3 - 2*m**2 - 2*m. Let d be q(l). Solve d = 4*c - v + 3, 0*c + 2*c + v + 9 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469.43192511 minus 0.5?\nAnswer: 1468.93192511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2105436 bigger than -2105631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 1. Let x(w) be the third derivative of w**5\/60 + w**3\/2 - 8*w**2. Suppose -5*c + 0 = -15. Give c*b(z) + x(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 35*b**3 - b**2 + 6*b - 9. Let f(n) = -34*n**3 + n**2 - 5*n + 8. Determine 6*a(i) + 7*f(i).\nAnswer: -28*i**3 + i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29127011.\nAnswer: 31, 939581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-1)\/23*1\/(-4)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**2 - 6*a - 13. Give f(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2451261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**2 - 83*b - 415. Let s be d(-7). Solve 0 = -s*u + 25*u + 36 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f - 9*f. Suppose -3*l + f*l - 22 = -2*y, 0 = l - 4*y + 24. Is ((-333)\/(-36))\/((-1)\/l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 - (-1)\/3*-9. Suppose 5 = -a, -4*u + 8 = -a - 9. Suppose 0 = b - u*b - 5*x + 38, y*b = -2*x + 74. What is the lowest common multiple of b and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 569, -92, -767, -1456, -2159, -2876?\n\"Answer: -7*t**2 - 640*t + 1216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6\/7, -1\/6, -5, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**3 - 252*z**2 - 456*z + 1952 = 0.\nAnswer: -61, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 159 - -9\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -2 + -3*sqrt(5) + -3*sqrt(45))**2.\nAnswer: 44*sqrt(5) + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.080443024 to three decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**4\/6 - 33*c**2. Let p(w) = 2*w**2. Calculate k(p(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 1. Let b be j(-1). Suppose 5*o + 20 + 0 = b. Let m be (-1 - o - 2)*34. Calculate the greatest common divisor of m and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 14951 = 2*z, -33*g = -37*g - 28. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 5 + 5 + -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*c**2 + 643*c**3 + 662*c**3 - 2 - 1287*c**3 to the form p*c + h*c**3 + i*c**2 + r and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**7\/189 + 7*z**6\/135 + 3*z**5\/10 + 29*z**4\/54 + 10*z**3\/27 - 2536*z. Factor n(o).\nAnswer: -2*o*(o - 10)*(o + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.911 times 5?\nAnswer: -449.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 51492 = -2*g - 12722, -38766 = -2*g + 4*r. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4512 is divided by 1122?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 7*q**5\/60 - q**4\/3 - 6*q**2. Find the second derivative of j(y) wrt y.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*b + 5*l - 3*l, -3*l + 6 = 0. Suppose x = b*x. Suppose x = -k + 51 - 361. What is k rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + k - 82, -117*i + 228*i - 434 = 117*i - 25*k + 1092 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 d when three letters picked without replacement from {p: 2, d: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1684*b**2 + 4*b. Let i(h) = -h**3 + h - 1. What is -i(t) + k(t)?\nAnswer: t**3 - 1684*t**2 + 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -3, -5, 3, -83, -600.\nAnswer: -600, -83, -5, -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in -1\/9, 1\/7, -0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 5 = -4*d, -3*d - 14 = -4*j - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/8 (b) 2180 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 20*w**3 - 2 - 4*w**3.\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84 + 131. Suppose p = 2*w - f, -p + w = 4*w + 57. Let b = 43 - p. List the prime factors of b.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 2*x + x - 10, 5*x = -h + 13. What is the highest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**21)*l*l\/(l**(3\/7)\/l)*l)\/(l**(-8\/9)\/l**(-25)) assuming l is positive.\nAnswer: l**(29\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -615, -848, -1241, -1794, -2507, -3380, -4413?\n\"Answer: -80*a**2 + 7*a - 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 + 4 - 15\/(75\/(-110))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/264105 and -131\/156?\nAnswer: 13733460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 889100 and 1422560?\nAnswer: 7112800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 31, 1\/2, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46496 is divided by 2112.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6431141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 17. Suppose 0 = -5*r - 4*x + 587, s*r + 5*x - 399 - 191 = 0. Suppose 4*t - r = -f, t - f - 3*f = 33. What is the remainder when t is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5\/3 - 638*a**4\/3 + 66716*a**3\/3 - 720144*a**2 - 4525632*a + 11757312 = 0. Calculate a.\nAnswer: -7, 2, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/(-32)*20768\/(-14520) and -8\/495.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1124 is divided by 68.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2682037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-33)\/132*(-8)\/(-2). Which is the fourth smallest value? (a) -6 (b) o (c) 1.1 (d) -0.4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -507938*2*(-182)\/728 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkskkkkkkkk.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1206 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 157674891*j**2. Let c(d) = -d**2. Determine a(c(l)).\nAnswer: 157674891*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 606 - 606. Solve f = 16*m - 11*m - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9833771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*l + 2471 = 0, -l = -0*l + 1. Let g be (-20)\/w + (-2)\/(-11). Let y be (-3)\/((-27)\/6) - 38\/48. Which is the closest to y? (a) -2 (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (404 + 17)\/((2 + 0)\/2).\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1 - (2 - -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.7 - 0.3. Suppose o - 16 = -q - 21, 4*q + 3*o = -20. Which is the smallest value? (a) s (b) 0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 13*c - 10. Let r be x(5). Suppose 0 = -n + 3*z - 10, n + 3*z = -2*n + r. Let g(b) = -b**2 + 2*b + 6. What is g(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/41, 5, -12, -52, -2\/15, -4, 0.06?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355 = -364*g + 537 + 910 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 129285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2710 and 385130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*h + 15 = -2*f, h + 5 = 0. Suppose c + 8 = f*c. Solve 5 = c*n + 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53023108 to the power of 1\/2, to the nearest integer?\nAnswer: 7282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/8 of a microsecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.62562mm in kilometers?\nAnswer: 0.00003162562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 10\/(-3) - (-16)\/12. Suppose 0 = -i - j*i - 4*h + 10747, -4*h - 3609 = -i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g + 5 + 445 = -4830. Solve 5*d + 4*i - 7 = 0, 0 = 164*d - g*d + i + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -2*b**6\/15 + 11*b**4\/4 - 13*b. Find the third derivative of c(y) wrt y.\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -126\/67 bigger than 6857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002130561204 rounded to five dps?\nAnswer: -0.00213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 18*p + 46. Let t be c(15). Suppose -4*n = -25 + t. Solve -3 = a - 4*f, 0*a + f = 2*a + n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 6563 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v + p - 18 = 0, 2*p + 15 = -49 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 3*w + 39, -w - 1432676 = 4*j - 1432647 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3)*y)**(-1\/5)*(y*(y\/y**6*y)\/y*y)\/(y*y**5)*(y\/(y**(1\/2)\/y))**(-3\/43)*((y\/(y*(y**(-5)\/y)\/y)*y)\/y)\/(y**(1\/6)\/y) assuming y is positive.\nAnswer: y**(-992\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 39.8815ug?\nAnswer: 0.0398815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.5, -1, 1\/15, 3, 2, 81\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3) + 132\/36. Suppose -5*g - 4 = 2*k, -10 = 3*g + 2*g. Let y be (4 - k) + (-4)\/(-2). Is x greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 7:57 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/4)*c*c**9*c*c**(-5)*c**(-10))**(1\/10))**(-1\/3) assuming c is positive.\nAnswer: c**(17\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*n - 25, -3*t + 56 = t - n. Let p be ((-530)\/t)\/(6\/621). Let b = p - -14729\/4. Calculate the common denominator of b and 37\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2715417 is divided by 1357695.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 27 + 1. Suppose 0 = 4*o - u - 3, 3*o - t - 4 = -u. Let w(c) = 3*c - 2*c**3 - 996*c**2 + 1 + 2013*c**2 - 1014*c**2 - 4*c. Give w(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-21))\/(36\/27).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8225, 0, 4 in descending order.\nAnswer: 4, 0, -8225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -4. Which is the closest to 1\/2? (a) p (b) 3\/4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*r + 25, -18*r = -21*r - 15. Sort -5, 14, g.\nAnswer: -5, g, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)\/z)\/(z\/z**(2\/33)) assuming z is positive.\nAnswer: z**(-196\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 4*b**2 + 5)*((-2 - 1 + 0)*(0 + 3 - 1) - 3 + 0 + 4)*(5 - 5 - 4*b) to k*b + h + o*b**2 + n*b**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 2*n + 1. What is p(4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d - 19. Let t = 31 - 32. Let j be (t - -7*1)*2\/(-4). Let h be s(j). Is h > -2\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -27. Let o = -24 + s. Let j = o - -36.0000048. What is j rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**3 + 3*y**2 - 1. Let z be b(-2). Suppose -20 = -g - 2*q, g + 2*q - z = 5*q. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(9\/6*(-2)\/101). Suppose 2*v + 4*w - 73 = k, -4*w + 91 = v. Does 19 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*p - 323 = -713. Put -5242, 2\/5, p in decreasing order.\nAnswer: p, 2\/5, -5242","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27.22 in 3, -3, 0.4, 9359?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 16*s - 17. Let z be u(-17). Solve z*m = -3*m + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23b01 (base 12) in base 14?\nAnswer: 1381b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b - 1939 = 356. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 10:30 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/6 - 35019616*o**2\/3 - 613186752393728*o\/3.\nAnswer: -o*(o + 35019616)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-134)\/(-10) + (-2)\/5. Suppose -2*q - m = -63. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 4872?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (sqrt(33) - (sqrt(33) - (sqrt(33) + (sqrt(3300) - (2*sqrt(3300) + sqrt(3300)))))))\/sqrt(3) + 3 + -4*(sqrt(11) - (sqrt(11) + 3)).\nAnswer: -18*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2\/11 (c) -2 (d) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*y - 0*y - 6, 3*y = -5*u - 8. Let i = y - -4. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, s: 2, b: 1, n: 2, t: 3}. Give prob of sequence fn.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-8))\/((-243)\/(-72)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q + 0 - 34 = 0. Suppose q*m = m + 5*z + 27, m = -2*z - 8. Suppose -5*f - 182 = -4*p, -m*p = -p + 2*f - 52. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 2*s**2 - 4*s - 83. Determine t(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -4 - (-2 - -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*3*2\/30)\/((-383)\/(-3830))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273652 is divided by 4142.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3))**(-5\/14)*u\/(u*u**(-1\/13)\/u*u*u)*u\/(u\/u**(2\/27)) assuming u is positive.\nAnswer: u**(1093\/4914)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3db4c3 (base 15) in base 3?\nAnswer: -12121010012010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a + 3. Suppose 2*z = -1 + 5. Let w be i(z). Let d = w + 8. What is the smallest value in 2, 0.4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 809631029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -28713272\nAnswer: 28713271.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/3 + -25 + 39 + (4 - 10).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 435 and 26622?\nAnswer: 133110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**8)*w)**30 assuming w is positive.\nAnswer: w**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41469 + 41475 - 6*h**2 + 41391 - 124335.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-8))\/(4\/12*-1). Let n = -3 + s. What is the closest to 1 in n, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -3*m + 10. Calculate the greatest common divisor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9229 + 6448 = -741*i - 2107 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -36.89 and -255482?\nAnswer: 255445.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 254, 343, 432, 521, 610, 699?\n\"Answer: 89*k + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a. Let d(n) = 126*n - 1051. Calculate d(b(y)).\nAnswer: 252*y - 1051","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 + 50*r - 4. Give z(24).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/529 and 95\/110354.\nAnswer: 2538142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*f**2*o**3*v**2 + 3*f**2*o**3*v - 2*f**2*o**2*v**2 - f**2*o**2*v + 5*f*v**2 wrt o.\nAnswer: -336*f**2*v**2 + 18*f**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j - 12. Let i be p(-7). Let z = i - -11\/2. Find q such that -z*q**3 + 0 - q**2 - 1\/2*q = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-27)\/15 + (-1853)\/1090?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11736 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 58 times 40980\nAnswer: 2376840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 9:47 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w**2 + 3*w**2 - w**3 - 1250 + 1248. Let r be p(-4). What is the units digit of -2 + 466\/r - 6\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -8*g**3 - g**2 + 11*g + 29. Determine q(-2).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, i: 1}. Give prob of picking 1 i and 1 k.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -9. Let x be ((-3)\/((-150)\/(-4)))\/(l\/(-35)). What is the third smallest value in 1\/6, -0.29, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, q: 7}. What is prob of sequence ddqq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1 + sqrt(1216))*4)**2.\nAnswer: -19472 + 256*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 - -3145?\nAnswer: 3130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 10*c + 6. Let v(q) = 7*q + 4. Suppose 6*n = -3*g + 2*g - 38, n + 5*g - 13 = 0. Give n*v(z) + 5*b(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 + 0*g**2 + 4*g**2 + (-2 + 2*g + 2)*(-2 + 2*g + 2) + 371*g**2 + 41 - 23 - 20.\nAnswer: 377*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*i**3 - 5*i + 1 - 4*i**3 + 5*i to the form f*i**3 + w*i + h + k*i**2 and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6.7*34.8\nAnswer: 233.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**3 - 5*v**3 - 5*v**2 + 3*v**2)*(0 - 6 + 0).\nAnswer: -6*v**3 + 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -63322684 times 13?\nAnswer: -823194892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-111078)\/(-486) - 8\/(-18). Let h = j + 1161. List the prime factors of h.\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d*d*d**(-7)\/d*d**(-5)*d assuming d is positive.\nAnswer: d**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 329?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*x**2 + 31 - 31)*(x**2 - 2*x**2 + 2*x**2) to o*x**2 + t*x + z + c*x**4 + w*x**3 and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - b - 2*b**2 - 27 + 53 to y*b**2 + g*b + m and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 840731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.817 times -3?\nAnswer: 8.451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**2 - 5*g - 5. Let l be d(-2). Let n be 17\/(-2) - (l\/2)\/(-5). Let s = -10 - n. Solve s = j - 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t + 5*t - 5*t)*(t**4 + 4 - 4) + 0*t**5 + 0*t**5 - 2*t**5 + (-2*t**5 + 0*t**5 + 0*t**5)*(2 + 2 - 3) + 0*t**2 + t**5 + 0*t**2.\nAnswer: -10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) - (sqrt(1008) - (sqrt(1008) + sqrt(1008) + 4 + 2*sqrt(1008))**2) - sqrt(1008).\nAnswer: 372*sqrt(7) + 16144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16046 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 3710.\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 10, -3.\nAnswer: -52, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1010 = 27*v - 448. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79280831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(5))**2*4 + sqrt(20)*-6.\nAnswer: -28*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b + 3*b - 4*b)*(-b**2 - 2*b + 4*b**2 + 0*b).\nAnswer: -27*b**3 + 18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -4, 63\/2?\nAnswer: 63\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-1572)\/12150)\/(-1))\/(7 - -5 - 8) and 25\/648?\nAnswer: 16200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13179, 0.1, -3, 33\/5.\nAnswer: -13179, -3, 0.1, 33\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 17*x**2 + 22*x - 16. Let v be l(16). Suppose 11*k - v = 7*k. What is the remainder when k is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -4 - (-2 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -540 - -952. Let q be (1\/(-10))\/(t\/1110). Let s = q - -2\/103. Which is the closest to s? (a) 4 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*y + 3 - 7*y + 4*y - 3*y + (y - y - y)*(3 - 2 + 0) + 0 + 0 - y + (-2*y + 2*y + 4*y)*(1 - 1 - 3) to q*y + m and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wyywyyyyyyywywyyywy. Give prob of picking 1 w and 2 y.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.040587um?\nAnswer: 0.007040587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 158529129.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, x: 2, o: 1, v: 1, c: 1}. What is prob of picking 2 l and 1 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/1031274 and -41\/54855?\nAnswer: 5156370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 123, -54, -93 in decreasing order.\nAnswer: 123, 5, 3, -54, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 t, and 1 q when three letters picked without replacement from qttqqttvxvvvqvtt?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 224 - 4*t**2 - 29 + 5 + 0*t**2 - 61*t + 3*t**2. What is the hundreds digit of z(-47)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4\/3 - 970*n**3\/3 - 19082*n**2\/3 - 35246*n\/3 - 5712 = 0.\nAnswer: -17, -1, 504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -313.49 to the nearest integer.\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2078*t**3 + 25*t**2 + 18*t - 16. Determine v(1).\nAnswer: -2051","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o**2 + 2*o**2 + 2*o**2 + 1 - 1 - 4*o**2 + (3*o - o + 0*o)*(o + o - o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16744*q - 3640 = -16784*q. Solve 6*p + q - 115 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 1, j: 6, i: 4, p: 3}. What is prob of sequence vj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1051 - 25251?\nAnswer: -30342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**8\/20160 + s**5\/30 + s**2. Let t(a) be the third derivative of o(a). Let v(w) = w - 3*w - w + 0*w. Calculate v(t(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10*10\/2726. Let i = v - -2656\/47705. Let c = i + 3\/70. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4073*h**3 - h - 23873 wrt h?\nAnswer: 12219*h**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/((-12)\/4) - 3. Suppose -h*x = -4*x + 28. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, n: 1, v: 4, u: 1, o: 1}. What is prob of sequence uvv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 91\/634?\nAnswer: 91\/634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -26. Let d be z\/(-3)*12*-1. Let i(w) = -w**2 - d*w + 2*w + 6*w. Let p(k) = -7*k**2. Determine i(p(h)).\nAnswer: -49*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g. Let w(i) = 70528*i - 213*i**2 - 70528*i. Calculate b(w(u)).\nAnswer: 213*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, e: 2, z: 7}. What is prob of sequence zz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2060 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162247551?\nAnswer: 3, 54082517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 10 - 5 = 0. Suppose 0 = -2*v + v + 6. Let i be 9\/(-4) + v\/(-8). Put -1\/6, q, i in decreasing order.\nAnswer: q, -1\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.7 - 64.22. Round m to zero decimal places.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -4.02263719?\nAnswer: -4.02263719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3 - 787*d**2 + 9601*d + 10387 = 0. What is d?\nAnswer: -799, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*d**2 + 3 + 0*d - d - 2*d**2 to the form x + g*d**2 + s*d and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 2*u + 0*u + (4 - 5 - 1)*(2*u - 2 + 2) + 0 + 0 - 2*u - 3*u + 4*u - 3*u to h*u + g and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 182766000?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 o when three letters picked without replacement from ofohrfkur?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 7*k**2 + 4*k - 4. Let y be o(-6). Suppose 2 = -3*m + y. Factor 0*u + m*u**4 + 2\/3*u**5 + 4\/3*u**3 + 0 + 0*u**2.\nAnswer: 2*u**3*(u + 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 417 divide 1080178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4*(13 - (-2 + 7)). Solve -3*r = -n*r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-12)*z**(-2\/7) assuming z is positive.\nAnswer: z**(-86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -404332 (base 5) to base 16.\nAnswer: -3324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 6*g - 3*n + 27 + 25, 2*n = 2 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtdx when four letters picked without replacement from dxtddttgttttdttxxdg.\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 0 - 3 + h**2 - h**3 + 6*h. Let z be g(3). Let k = 8 + z. Calculate the lowest common multiple of k and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 8*a - 17. Let c be p(-10). Factor -c*n - n - 27*n**2 + 2*n**2 - 6*n - 15*n**3.\nAnswer: -5*n*(n + 1)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (134*b + 122*b - 67*b - 2 + 38*b)*(-2*b + 2*b**4 + 2*b).\nAnswer: 454*b**5 - 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115 - 97 - 60*r**2 - 123 + 333.\nAnswer: -60*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 3:37 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*f**2 - 57*f - 15*f + 17*f - 75*f**2 to the form w*f**2 + g*f + b and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*q - 16 - 22 = 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 5530.9599 to the nearest one hundred.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2652283 to the nearest integer?\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11473, 22876, 34275, 45670, 57061?\nAnswer: 68448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -561, 5, -3, -5 in increasing order.\nAnswer: -561, -5, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 30a7a2 (base 11) to base 2\nAnswer: 1111001011100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1470990087 - -65.33\nAnswer: -1470990021.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(300) + 1 - sqrt(300) - 1*(sqrt(300) + 0))**2.\nAnswer: -60*sqrt(3) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -113*b - 5650. Let i be c(-50). Solve -43 + 9 = 5*w + 3*z, i = 3*w - z + 12 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 78 = -8. Let h(p) = 5*p**2 + p**3 - 14 + 6*p**2 + 11*p - 2*p. Give h(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6750944, -6750860, -6750714, -6750500, -6750212, -6749844?\nAnswer: -6749390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 9:52 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -3 + 2 - 6) + -2 + 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7709, 30937, 69679, 123935?\n\"Answer: 7757*u**2 - 43*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6328 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**4 + 4*w**4 - 5*w**4 - 3*w + 2*w**3 + w - 3 to the form m*w**3 + v*w**2 + s*w**4 + d + k*w and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 4594356?\nAnswer: 4594356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 2:49 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1876, 7487, 16848, 29965, 46844, 67491, 91912, 120113?\n\"Answer: a**3 + 1869*a**2 - 3*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/806597 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 165*d.\nAnswer: 5*d*(d - 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73519*q - 23985 = 73506*q. What is the greatest common divisor of 492 and q?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -153\/8 + 75\/4. Let h = 0.3 - 0.5. Let r = -4029.5 - -4030. Which is the third smallest value? (a) j (b) -1\/8 (c) r (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 36, 68, 108, 156, 212?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 8164?\nAnswer: 8164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -197*f*i**3 + 3*f*i - 537396*f + 48*i**2 with respect to i.\nAnswer: -591*f*i**2 + 3*f + 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -349745*x. Let v(s) = -9*s. Calculate l(v(a)).\nAnswer: 3147705*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9494 and 909.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -14*t + 12*t + 4*z, 0 = -t - z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6\/11 (b) 3\/4 (c) 121 (d) -0.3 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 738449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 35\/13075721?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 - (-3 + 2 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*u - 33 = 0. What is the greatest common divisor of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab (base 14) to base 15.\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17355401.\nAnswer: 7, 139, 17837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1770 and -92\/42482655?\nAnswer: 84965310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 + 9*k - 8. Let i be w(-6). Let c(r) = 11*r + 2 + i - 12. Let f(y) = -3*y. Give f(c(p)).\nAnswer: -33*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-18) - 11\/(2376\/(-3408)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14, -35, -48, -47, -26, 21?\n\"Answer: q**3 - 2*q**2 - 22*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17262\/5 - -3437. Which is greater: z or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29842 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 22081 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 1)*(-23)\/(-16). Let y(h) = -4*h**2 + 29*h + 22. Let r be y(8). Which is smaller: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 1928\/280)\/((-2)\/(-5)). Is -1\/1277 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from rsfdttf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25012*g**5 - 364*g**4 - 66812*g**3 - 56356*g**2 - 16520*g - 1600 = 0. Calculate g.\nAnswer: -1, -5\/13, -8\/37, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26100117?\nAnswer: 3, 17, 101, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -789 + 1651. Is h a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 4 = l, -l - v - v + 2 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*c**3 + 16*c**3 - 7*c**3 + (2*c**2 + 1 - 1)*(c - c - c) to the form v*c**3 + m + g*c + r*c**2 and give v.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 u when three letters picked without replacement from {x: 2, u: 18}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrqqrqqqrqrqrrr. What is prob of picking 3 q?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 165293 and 0.0196.\nAnswer: 165293.0196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1017*o - 8152 = 1019 + 8118 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-63)*2728\/(-6820))\/((-2)\/(-7))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z, -52 = 10*f + 5*z - 32 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4681 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 15*k - 5. Let r(w) be the first derivative of 23*w**2\/2 - 8*w - 85. What is 5*r(f) - 8*x(f)?\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4242404 (base 5) to base 9.\nAnswer: 118200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(112)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5060, -6, 3, -4?\nAnswer: 5060","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2 + 17 = 0. Let r(c) = -c**2 - 4*c + 3. Let p be r(-4). What is the third derivative of -2*z**3 - 4*z**2 - 3 + v + p*z**3 wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42463879?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 301, 1128, 2475, 4336, 6705, 9576?\n\"Answer: -g**3 + 266*g**2 + 36*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i. Let s(q) = -6*q - 1. Let n(h) = -4*f(h) - s(h). Calculate n(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -786 (b) -5 (c) -0.1 (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + 2*s - 2. Let g be k(-2). Let w(z) = z**2 - z. Let y(x) = 3*x**2 - 5*x + 2. Let u(j) = -6*w(j) + y(j). Calculate u(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 - (2 - 306) - 125?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2*u = -7, 0 = -2*u - 3 + 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6458 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 l when four letters picked without replacement from lrtlltrurarr?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/205390 and 11\/205390.\nAnswer: 205390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 74162 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x + 197210000 = 10*x. What is x rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1974573 is divided by 410?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*f - 6*f - 81*f - 525*f**3.\nAnswer: -525*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0, 3, -1\/4, -2536, 12\/7, 5, 1\/15?\nAnswer: -2536","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, -3\/119, -2\/13, -10?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 190802 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4889646, -9779277, -14668908, -19558539, -24448170, -29337801?\nAnswer: -34227432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -6 - 2. Suppose o - 1 = -q. What is the common denominator of 49\/2 and (-303)\/28 - (q - 40\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3095+-1.463\nAnswer: 3093.537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 12 = 16*p - 222. Let w(m) = 2*m**3 - m**2 + 1. Let u be w(-2). Let q = 64 + u. What is the greatest common divisor of p and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -10\/9, 3\/31, 0.3?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*(-220)\/35)\/(288\/(-216))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 2, 7, 14, 23, 34, 47?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7237 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 22. Let k be t(0). Let h be k\/33*(4 + -1). Solve -4*r = -0*u - h*u - 10, 3*u = -r + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1110)\/(-42))\/37*-7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**9*x\/x**(5\/7)*x*(x*x*x\/x**(-12)*x)**(2\/51))**22 assuming x is positive.\nAnswer: x**(85712\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64081 is divided by 8009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*u - 18*u + 5*u.\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 38*x - 49 = 0. Solve -y + 11 = 4*w, x = 35*y - 32*y - 4*w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 99870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 0.4 (b) -6 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2 + r + 5. Let d(o) = 5*o**2 + o + 4. Let q(a) = 7*d(a) - 6*j(a). Let p be q(-2). Solve 2*t - 6*t + p = 0, 3*u + 4*t = 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*n - 2*n. Let w = 8 + -11. Put n, 0.3, w in ascending order.\nAnswer: w, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -39, -135, -321, -627, -1083, -1719, -2565?\nAnswer: -3651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.65224948 + 13700?\nAnswer: 13659.34775052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4886, -2314, 1972, 7972, 15686?\n\"Answer: 857*b**2 + b - 5744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -437 = -22*k + 355. Calculate the remainder when 106 - (-2 - (-3 - 0)) is divided by k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 7093.\nAnswer: -7\/7093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14759243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263969882?\nAnswer: 2, 11, 467, 25693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3350538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + f)*(-4 - 13*f + 24*f - 7*f).\nAnswer: 4*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 4:50 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 40. Let o = -10 - f. Suppose -2*a - 6*v = -5*v - 526, o*v + 16 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -267ab3a - -1?\nAnswer: -267ab39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 747 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1147*v**3 + 11*v**2 + 312*v + 11. Let f(k) = -382*k**3 + 4*k**2 + 102*k + 4. Let x(g) = -11*f(g) + 4*n(g). Find the second derivative of x(s) wrt s.\nAnswer: -2316*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/36241 + -63061\/242995905. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 0 + 7 + 1 + 64 + (154 - 165).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -11. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 209436?\nAnswer: 209436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 111*y + 34. What is the tens digit of q(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/2*136\/(-544).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111120122022211 (base 3) in base 6?\nAnswer: 414402121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. Suppose -8 = -z*n - 0. Suppose -3*j = -n*j + 14. Round j to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/880)\/(((-10)\/(-50))\/((-68)\/(-510))).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-four fifths of a kilogram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -13. Let x(l) = -2*l - 2*l + 1 + j + 0. Let s(y) = 3*y. Let g(a) = 3*s(a) + 2*x(a). Differentiate g(p) with respect to p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 5 = w + 2*v, 4*w - 4*v = -8. Let j be (0*w\/(-3))\/3. Suppose -3*g = j, -7*g = -z - 3*g + 2. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 194555067 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxfx when four letters picked without replacement from {z: 2, f: 3, x: 2, d: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 569413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 76\/35 or 1?\nAnswer: 76\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*y, -3*y - 47 + 53 = -4*t. Let j(g) = -g + 1. Let q(d) be the second derivative of -d**3\/6 + 2*d**2 - d. Let l(v) = -2*j(v) + q(v). What is l(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596.5624 centuries in millennia?\nAnswer: 59.65624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 12, 0.1, -3296242?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 81096.05ml in litres?\nAnswer: 81.09605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-16)*(-8)\/48*-4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-239)\/35 + 36\/24 - -1) + 6. Does s = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Total of 56822 and -0.276.\nAnswer: 56821.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553696.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/3 + 68*q**2\/3 + 71*q\/3 - 46.\nAnswer: -(q - 69)*(q - 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 1335 = 569. Is i at most as big as 269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -37. Suppose -4*f + 0 = 24. Let v be (f\/9)\/(8\/12). What is the second biggest value in l, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*f = 257, 3*u + f - 251 = -94. What is the remainder when 59 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2862 or -54364\/19?\nAnswer: -2862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12113.02134us to weeks.\nAnswer: 0.00000002002814375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 16*f - 1. Let l be r(1). Let a(g) = 17*g + 35. Let t be a(5). Calculate the greatest common factor of t and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*r + 1 + 26*r + 15*r - 48*r to the form n*r + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*x - 23*x + 13*x + 34*x + 145*x as f*x + d and give f.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-8)\/(-14))\/(12\/294) and 52\/3 + 16\/24?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783 is divided by 168.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115.33 - -116. Let q = y + -0.6. Let v = -0.11 + q. Which is the third biggest value? (a) v (b) -4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*m + 90 = 3*x, 90 = 3*x + 3*m. Is x\/(-1)*(-30)\/50 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 733*p - 76. Suppose -8*n + 57 + 15 = 0. Is y(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 532?\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 18809 to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 107 = 4*y + 31, 44 = 2*y - w. Suppose -n + 14 = 2*h - 0*h, -5*h + 42 = 3*n. Let z be (-178)\/(-6) - n\/y. Which is greater: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4692 and 4278?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -2\/7, 31323, -0.2, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6221 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 1. Let f(v) = -3*v**3 - 5*v + 3. Determine -f(l) + 3*j(l).\nAnswer: 3*l**3 + 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -3.8868?\nAnswer: 3.3868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**6\/360 - q**5\/120 + q**4\/12 - q**3 + 3*q**2\/2 + 9. Let n(i) be the third derivative of f(i). Give n(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64283.\nAnswer: 64283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 3*x - 4*x)*(2 + 6*x - 2) + (0 + 0 + 1)*(36*x**2 + x**2 + 32*x**2).\nAnswer: 81*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12968 * -6.88.\nAnswer: -0.8921984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 11*p**2 + 19*p + 30. What is m(7)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 802512 to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/14 + 180\/385. Let z(p) = -p - 10. Let a be z(7). Let w = a + 19. What is the closest to 0.1 in n, w, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196872 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 358, 1674, 3854, 6886, 10758, 15458, 20974, 27294?\nAnswer: 34406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 3:45 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3140 + 1244 = 8*b. Let a = 550 + b. What are the prime factors of a?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 7 = 22. Let b be 1\/8 - (-2)\/(-16). Let p = b - u. Solve -k = -2, 2*r + 22 = -r + p*k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15545a (base 12) to base 11.\nAnswer: 227908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322*g + 32086330 + 25219044 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -1754\/54733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*s = -2481 - 1757 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3815\/1184 or 2?\nAnswer: 3815\/1184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - (2 + sqrt(52)\/sqrt(4)) - sqrt(156)\/(-2*sqrt(12)).\nAnswer: -2 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45100 = 3824*b - 3004*b for b.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25aa38 (base 13) in base 9?\nAnswer: 1635038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -20. Let c(r) = 17*r. Let d(s) = -8*s. Calculate a*c(l) - 13*d(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((1 - -3)\/20). Let c = -8 + k. Put -1, c, -0.5 in increasing order.\nAnswer: -1, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times 473070?\nAnswer: 9461400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/(23\/(-46)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 127 times 15.552\nAnswer: 1975.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 - (-22)\/(5 - -6) - 6. Solve 4*r + 2*v + v = 37, w*v = -2*r + 26 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 92 - 60. Let j = -12 + a. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**5 + 5*b**5 - 2*b**5)*(267 + 139 - 367 + 341).\nAnswer: 2660*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 + 15 = -6*a. Solve 2 = 4*z + a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1634685 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + -8 + -1 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 154*m**6*u**2 - 2*m**2*u**2 + 2*m*u**2 wrt m?\nAnswer: 18480*m**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32 and -1.796.\nAnswer: 57.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10716, 24956, 39196, 53436, 67676?\n\"Answer: 14240*k - 3524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 + 10*h - 8*h - 2*h - 24*h**3.\nAnswer: -24*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1)\/y*y*y**(-2\/19)*y)\/((y\/(((y*y*y*y**(4\/7)*y)\/y)\/y))\/y*y**(-2\/25)) assuming y is positive.\nAnswer: y**(11791\/3325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1192652*a**4 - 2159937*a?\nAnswer: 14311824*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/292 and (-583)\/990 - (-2 - (-38)\/18)?\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 585a - 7?\nAnswer: 5853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5115708 a multiple of 884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-6) + (-14)\/(-84).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 * -90.749.\nAnswer: -10.88988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110100 (base 2) in base 5?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -5) + (-2 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 21414245.\nAnswer: 4\/21414245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -3 - 1) + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 2487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -198500 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169878?\nAnswer: 2, 3, 23, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52024, 52014, 52002, 51988, 51972, 51954, 51934?\nAnswer: 51912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 32 = -c. Suppose 2*w - c = -2*w. Determine s so that 2*s**3 + s + 0 - 1 - 2*s - s**4 - s**5 + w*s**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 + 64. What is the greatest common factor of 26 and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401*q = 395*q + 9600. Is q a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -191 + 258. Calculate the remainder when h is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4778, -3519, -122, 6475, 17334, 33517, 56086?\nAnswer: 86103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(19))*2 + sqrt(19) + sqrt(228)\/(sqrt(12) + sqrt(48)))**2 + sqrt(190)\/(-3*sqrt(50)\/sqrt(5)).\nAnswer: -41*sqrt(19)\/3 + 1936\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101111101011000 (base 2) in base 7?\nAnswer: 325460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t - 180 = 0. Let i = t - -45. Solve i = 2*j + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5782\/13743?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -9*m**2 - 38*m - 6. Let v be n(-4). Sort -1, -2, 3, v in decreasing order.\nAnswer: 3, v, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 150 = 6*k. Suppose 3*l - 6 = l. Let i(j) = j**2 + 2. Calculate the remainder when k is divided by i(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-63))\/(1\/9*1)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -104177491 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k**5 - 318*k**4 - 6936*k**3 + 4858*k**2 + 403068*k + 736560 = 0. Calculate k.\nAnswer: -12, -9, -2, 31\/4, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115852 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8475588.\nAnswer: 2, 3, 11, 17, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190400668 to the power of 1\/2, to the nearest integer?\nAnswer: 34502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28502 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 12:49 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 7:43 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144)\/(-252))\/((-4)\/84*3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -s - 11*s + 9*s - s**4 + 4*s**2 in the form v + a*s**2 + d*s**3 + n*s + o*s**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 + 247*w + 112*w - 65.\nAnswer: 359*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -99*v**5\/5 + 30*v**3 - 124. Find the third derivative of o(j) wrt j.\nAnswer: -2376*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 41 - 124 = -4*i, b = 5*i - 25. Let o(f) = -f**3 - 16*f**2 - 16*f - 13. What is o(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6603 * 0.3.\nAnswer: -1980.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1920\/(-420))\/((-12)\/(-42))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = -5*q + q + 4*c, 5*c = 3*q - 239. Let o = q - 73. Let d = 1 - -3. Solve d*f + 3*a - 1 = 0, o*a - 2 = f + 3*a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*y + 43*y - 3*y**3 + 29*y**3.\nAnswer: 26*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13525?\nAnswer: 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37\/35 + -6\/5. Let n be -1*((-48)\/270 + 2\/(-9)). Which is the third biggest value? (a) n (b) -2\/19 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107046 + 107046 - 13*r**3.\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 60027.15 millennia in centuries?\nAnswer: 600271.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 2*d**2 - 4*d + 5. What is s(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 29*b**2 + 4. Let g be p(-3). Suppose 0*r = 5*r - g. Let j = r - -6. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 4. Let d(h) = -h**2 + 4*h - 5. Let i(q) = -q**2 + q - 1. Let c(j) = d(j) - 2*i(j). Let v be c(s). Calculate the highest common factor of v and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6 = -j. Suppose -27 = -j*r + 5*d, -3*r = 2*r + 5*d - 5. Calculate the greatest common divisor of r and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b**2 - 645*b + 3083. Determine s(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.053 - -10.053. Let j = 12 - s. Which is the fourth biggest value? (a) -1 (b) -1\/6 (c) j (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325274030?\nAnswer: 2, 5, 37, 879119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7)\/(13902\/819 - 17) is divided by 118?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 5*s + 3, 4*v = 2*s - 5*s - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8862.359l?\nAnswer: 8862359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 + 137*o + 35*o + 18*o)*(-329 + 195 + 411).\nAnswer: -277*o**3 + 52630*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4*k**2 + 4*k + 8 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 3. Let l(g) = g**2 - 2. Let r(o) = -11*l(o) + 6*z(o). Let q be r(4). What is the greatest common factor of q and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3\/8, -1\/4, 1, -2\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 845, 1430, 2015, 2600, 3185?\nAnswer: 3770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 828 divided by 3\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -46*l**2 + 92*l**2 - 40*l**2. Let s(h) = -2*h + 1. Determine r(s(m)).\nAnswer: 24*m**2 - 24*m + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 14*d**2 - 33*d - 57. What is t(12)?\nAnswer: -741","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2257 a factor of 88104252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3519*i - 14082. What is b(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(3 - (-26)\/(-8)). Suppose -h = -t - 15. Let p = 24 - h. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (49 - 80)) + 4 - (-2 - 18).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 773742 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, t: 3, f: 2, h: 8}. Give prob of sequence nff.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in 92, -0.4, 1\/4, -8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-1 + -5 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13705990*i**2*n**2 + 25*i*n**2 + i*n - 2*i + 4*n**2 - 2093 wrt i.\nAnswer: 27411980*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 842744 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6*w + 16 = 0. Let d(u) be the first derivative of u**2\/2 + 5*u + 38. Calculate d(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**2\/2 - 2*l + 4. Is 8 a factor of g(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*1\/(2\/(-4)). Let v(y) = 9*y + 2. Let w(s) = -16*s - 5. Let c(d) = 5*v(d) + 3*w(d). Give c(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5647064*f**5 - 48*f**2 + 8424*f - 4.\nAnswer: 338823840*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.05 + -1. Let p = -2271.3 + 2275.3. What is the closest to -2\/5 in p, z, 1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oakooamkoamommkmmmo. Give prob of sequence am.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + 16*n - 13. Let q be o(-9). Suppose -q = 3*u + 1. List the prime factors of 2\/(8\/(-90))*u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/5*p**2 - 3\/5*p**3 - 1\/2*p**4 - 1\/10*p**5 + 4\/5*p.\nAnswer: -p*(p - 1)*(p + 2)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 936 = -6*v. Suppose 0 = -15*q + 11*q + v. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 552 - 574 - (-31 + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280385380?\nAnswer: 2, 5, 11, 487, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**3 - 7*t**2 + 6*t - 7. Let c = -9 + 16. Let w(u) = 2*u**3 + 3*u**3 - 3*u + 6*u**2 + 6 - 2*u. Let y(m) = c*w(m) + 6*h(m). Factor y(s).\nAnswer: -s*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**7\/630 - k**6\/72 - k**5\/15 + 19*k**4\/18 - 40*k**3\/9 + 1605*k**2. Factor z(i).\nAnswer: (i - 5)*(i - 2)**2*(i + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 15 - 7 = 2*z, q - 9 = 3*z. Let w be -2*-2*(-1)\/q. Let r = -2 - -5. What is the biggest value in r, 3\/7, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a**3 - 2*a**3 + 4*a**3)*(2*a - 3*a + 0*a) + 264*a**4 - 503441 + 503441 to the form t + u*a**2 + i*a**4 + w*a**3 + y*a and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.9382 + 12.499448. Let o = -66.438102 - g. Let i = -64 - o. Round i to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 4\/417 (c) 6\/71 (d) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -10. Let j(a) = -a**2 + 13*a**2 - z*a**2. Calculate j(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.018 in 25\/4, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*(sqrt(2700) + 4) + (3 + sqrt(2700))*-6).\nAnswer: -600*sqrt(3) - 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-9))\/((-3)\/(-18)). Let a(u) = -u**2 + 9*u**w + 0*u**2 - u**2. Let b(v) = 2*v**2. Give b(a(m)).\nAnswer: 98*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68796)\/1134)\/(10\/(-75)*5)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 51320361?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -148, -5, -1\/2, -3 in ascending order.\nAnswer: -148, -5, -3, -1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = b - o + 20, 0 = -5*b + 2*o - 10. Let k(c) = 0 - c + b. Let d(i) be the second derivative of i**3\/6 - i. Calculate d(k(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 103121?\nAnswer: 103122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15675381?\nAnswer: 3, 569, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than -14349\/3133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.32 + -14.32. Sort -22\/5, v, 11.\nAnswer: v, -22\/5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201518 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**14*g*g*g*g**(-3\/2)*g\/(g\/(g\/(g**(-2\/3)\/g)))*g\/g**(5\/6) assuming g is positive.\nAnswer: g**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + -156286?\nAnswer: -156275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 3:21 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18952705*u**3 + 22060471 wrt u.\nAnswer: 56858115*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45004*v**2 - 1 + 3 - 2.\nAnswer: -45004*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 10 = -x, 39*i - 37*i - x - 8 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/25)\/((-3)\/(-60)). Let c(j) = -j**2 - 29*j - 32. What is the smallest common multiple of c(h) and 18?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1686 - -2588. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 16 = -3*u, 7*r - 20 = -u + 4*r. Let p(f) = -u - 9 + 19 - 100001*f. Let d be p(2). What is d rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 47 - 20. Let u = p - 55\/2. Is -0.1 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 7*n**5\/4 + n**4\/2 - 21*n**3\/4 - 5*n**2 - n = 0.\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4206594 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, -24, -125, -318, -633, -1100, -1749?\nAnswer: -2610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 18. Let k = 0 - f. Which is bigger: 1\/4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2295.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + -1*sqrt(2).\nAnswer: -6 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 7*g**2 - 2*g**2)*(-33 + 33 + 9*g**3) - g**5 + g**5 - g**5 - 4*g**5 + 5*g**5 + g**5.\nAnswer: 19*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngt when three letters picked without replacement from {g: 1, n: 1, t: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6 - (-9)\/27. Suppose p = 3*c + 6. Let g = 3 + c. Sort g, -5, 3 in increasing order.\nAnswer: -5, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003081432 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence de when two letters picked without replacement from sdedvdsssesdsaasasa?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -400 and -350199 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8103 - 8103.5. Let d be (-20)\/(-39)*6\/(-4). Which is the third biggest value? (a) l (b) 0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2*sqrt(350))\/sqrt(7) + -2)**2.\nAnswer: -120*sqrt(2) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 - -97. Let t = 18 - p. Let r = 24 + t. Is -3 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 32*z**2 + 7*z**2 + 5*z**2 - 1 + 2*z. Let k be s(1). What is the highest common divisor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36194 less than 28?\nAnswer: -36166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 2 + 2 + 2*f + 2*f**2 - 2*f + 3 - 3 + f**2 + (-4*f + 4*f + f)*(4*f + f - 4*f) + 38*f - 7*f**2 - 38*f)*(-1 + 2 + 2)*(3 - 4 + 0).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 - 35. Suppose 5*c - 97 + 154 = h, c - 311 = -5*h. What is the remainder when h is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 858 and -142.8.\nAnswer: -122522.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 90925, 90875, 90783, 90643, 90449?\n\"Answer: -o**3 - 15*o**2 + 2*o + 90939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 6. Let j(n) = 7*n**2 + 6*n + 11. Let f(h) = h**2 + h + 1. Let s(t) = d*f(t) - j(t). Find the first derivative of s(p) wrt p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -60119 - 187?\nAnswer: -60306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 15*p + 3. Let g = -9 - -9. Suppose -a = -3 - g. Let f(t) = 5*t + 1. Let w(b) = a*y(b) - 8*f(b). Differentiate w(n) wrt n.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.9? (a) 4 (b) -4 (c) -1257.6 (d) 1 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -2, -32, -96, -206, -374?\nAnswer: -612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*o + 484 = -55*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqaayfc. Give prob of sequence yqc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18558, -37119, -55680, -74241, -92802, -111363?\nAnswer: -129924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -1)\/(5 + -3). Let r(x) = x**2 + 4*x - 7. Let p be r(-6). Suppose w*b - 75 = -p*b. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 4:20 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, k: 4}. What is prob of picking 2 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228238271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 2*p + 2. Let t be z(-2). Suppose -12 = -t*l + 8. Calculate the highest common factor of l and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3639 and 4489313.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8970 and 8073.\nAnswer: 80730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779872 is divided by 335?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 273687 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.053*-0.2.\nAnswer: -0.0106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, z: 3}. What is prob of sequence zzvv?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 135611071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/8*2\/3. Let t be -2 - 4\/(l\/3). Let d(z) = 2*z - z**2 - t + 3*z - 3*z - 2. Give d(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.5595 - 2.196. Round y to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-495)\/(-54))\/(46\/(-69)))\/((-1)\/4).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.463 - 0.605. Let h = 7389.632 + -7435. Let t = w - h. Round t to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 948\/3049 or 1?\nAnswer: 948\/3049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -10*k + 99. What is the remainder when 63 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 11263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*o = -107*o - 91*o - 80 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*((-8 - 5 + 4)*(-2 + j + 2) - 2*j - 3*j + 4*j).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.632 - 0.012211044.\nAnswer: -16.644211044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.24 + 0.14. Let p be (-2 - -1)\/((-636)\/418). Let b = 1\/106 + p. What is the closest to -2\/5 in 0.4, b, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 39456035*t**2 + 77838915168040*t + 77838954624080.\nAnswer: 5*(t - 3945604)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w + 26 = 4*f, -3*f = w - 7. Let a = 14 - w. Solve 2*o = 6*o - a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -531, 17, 32, 5 in descending order.\nAnswer: 32, 17, 5, -531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -931, -942, -967, -1012, -1083, -1186?\nAnswer: -1327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 + 24 + -2 + -9 + 8)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3\/6 - 48*q**2 - 4608*q - 147456 = 0 for q.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 1:47 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 141 = -3*b, -18 = -3*b + u + 123. What is the greatest common divisor of b and 1739?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 1 + 1)*(3 - 3 + 3*g**3) + 0*g**4 - 10*g**4 + 4*g**4.\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 349878 and -43.\nAnswer: -15044754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 9:25 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1112 and 3899923?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1105.1 - -1105. Let x be (-4)\/(-35) + 2\/(-5). Which is the closest to x? (a) p (b) -6 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -15 - 45. Let f = 5\/277 - 287\/554. Which is the closest to 1? (a) f (b) 0.05 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 15*o**3 - 9*o**2 + 9*o - 121. Let m(j) = -7*j**3 + 4*j**2 - 4*j + 61. Determine 9*m(s) + 4*q(s).\nAnswer: -3*s**3 + 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24.6 - -25. What is the second biggest value in 1\/5, -1\/7, w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20\/(-25))\/(2\/55). Let d = h - -26. Suppose -d*y + 68 = -5*j, 2*y = 2*j + 24 + 8. Solve -3*i - y = 3*v, i - 2*i - 4 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*j - 8, 0 = -d - 2*j - 3 - 3. What is the third derivative of -3*o**3 - 16*o**2 - 14*o**2 + 14*o**d - 6*o**3 wrt o?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 4*y**2 + 2. Let d be p(4). What is the remainder when d\/3*30\/2 is divided by ((-70)\/28)\/(5\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39810*l**5 - l**3 + 7*l**2 + l + 3552 wrt l.\nAnswer: -2388600*l**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*d + 66*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12, 24, 46, 78, 120, 172, 234?\n\"Answer: 5*m**2 - 3*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -108*(-13)\/(195\/400). Round u to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.12 + -4.88. Let f = 0.07 - 0.27. Which is the smallest value? (a) 0 (b) f (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 407 = 11*o - 12*o. Calculate the greatest common divisor of o and 2701.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152 + 247. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 16*q**2 + 4*q + 5. Let c(y) = -14*y**2 - 3*y - 6. Let x(r) = 3*c(r) + 2*s(r). Let z be x(-8). What is the highest common divisor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-1\/2)\/h))\/h*h)**(-7)\/(h**(1\/6)*(h\/(h**(-5)*h))\/h)*((h*h**(-5)\/h*h)\/h**1)\/(h\/h**(-1\/2)*h*h*h**(-2)*h) assuming h is positive.\nAnswer: h**(-175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 208, 5, -1, 7, 4 in ascending order.\nAnswer: -1, 4, 5, 7, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -8*t + 1. Let q be r(-4). Suppose 0 = -3*v - 12, 0 = 4*u + 2*v - 4*v - 40. Suppose -u = 5*y - q. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3183 - 127431\/40. Let r = 1981\/575 + -22\/25. Let c = r + 971\/276. Calculate the common denominator of c and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1851203657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 517455006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 33 = 2*i, 4*w + i - 40 = 6*i. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -792.909 + 255.395. Let t = -538.206 + 1.206. Let o = y - t. Round o to two dps.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -1. Let w be (-2)\/(-30) - (-3)\/9. What is the nearest to w in g, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 276975 and -0.42.\nAnswer: -116329.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 1\/4 (c) 0.3 (d) -0.266 (e) -0.1 (f) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 6*w = 40, -7*g - 4*w + 10 = -16*g + 12*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21778 - 19229973\/883. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 13343258.\nAnswer: 13343257.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*t + 21*t - 6*t**2)*(2 + 2 - 6)*(2 + 1 - 4) - 2 + 5 + 0*t**2 + t**2 + (-t + t - 2*t)*(t - 2*t + 3*t).\nAnswer: -15*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 69224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -599, -600, -601?\nAnswer: -602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17502636?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpqizigv. What is prob of sequence iiz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h**3 - 12*h**2 + 6*h - 3. Let l(u) = 7*u**3 - 13*u**2 + 7*u - 3. Let r(c) = -5*l(c) + 6*o(c). Let q be r(7). Solve -5*x = q + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**3\/5 + 4988*m**2\/5 + 3482688*m\/5 + 449825472\/5 = 0.\nAnswer: -1164, -166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uaummqmaqmaqoqomouoy. What is prob of picking 1 u, 1 q, and 1 a?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 916\/9 + -102. Put 4, 2\/3, j in decreasing order.\nAnswer: 4, 2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -586.041 + 586. Put w, 2, -4 in decreasing order.\nAnswer: 2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/30)\/((-1)\/(-15)). Let p(l) = -5*l - 23. Let m be p(d). Let t be ((6\/3)\/(-4) - m)*2. Which is the closest to 2\/5? (a) t (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 77, 135, 211, 311?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 860 - 4?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378*y + 380*y = -2*l + 1087692, 0 = -y + 3*l + 543818. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 + 5*u - 2. Let t be c(-3). Suppose 4*g - 2*z = -0*g + 2, -8 = -5*g - 3*z. Let b = 3 - g. Solve 2*s = b*r + t, 0*r + 4 = -2*r - s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 322 + -308. What is the highest common factor of u and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 6*w**2 - 17*w - 181. Does 70 divide j(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = l - 36, 4*l + 104 = 6*l + 4*x. Let p = l + -48. Let h = -10 + 15. Put -6\/11, p, -5, h in descending order.\nAnswer: h, -6\/11, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**4\/12 + 4*p**2 + 7. Let j(a) be the second derivative of y(a). Let i(w) = 36*w**2. Determine i(j(r)).\nAnswer: 144*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 11:07 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -626 at least as big as -624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = 180*i - 210*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9 + 2.3. What is the smallest value in -0.8, -2\/5, y?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41200927 divided by -103?\nAnswer: 400009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 9 + 0*p**2 + p + 8*p**2 + 4*p. Let w(x) = -3*x**2 - 2*x - 3. Let o(n) = -4*d(n) - 11*w(n). List the prime factors of o(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0316 and -4.2.\nAnswer: -0.13272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 799656.5 seconds?\nAnswer: 799656500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.856957 millimeters in kilometers?\nAnswer: 0.000003856957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 28730948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106034932.\nAnswer: 2, 26508733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 2*u - 1\/2*u**2 - 2. Let n be p(-2). Solve y = 5*g - 13, -2*y = -7*y - n*g - 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -280, -1724, -4132, -7504?\nAnswer: -11840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(2*x - 8*x + 2*x)*(x**4 - 3*x**4 + x**4).\nAnswer: 8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -14\/919, -0.3, -16.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2886 = -84*w - 450. Calculate the highest common factor of 667 and w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499106.\nAnswer: 2, 163, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 421872, 421871, 421870, 421869?\nAnswer: 421868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 32760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 32283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 + 10*m**3 + 7*m**3 + 3*m**3.\nAnswer: 21*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 8 = 41. What is the common denominator of 5 + (w - -4) - 579\/72 and 99\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 10:22 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046\/1509805 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11 - ((-15 - -28) + -31 + 17)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 36, -39, 0.3, -2 in descending order.\nAnswer: 36, 0.3, 0, -2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12640 - 6893 + 32263 = 21*h. What is the greatest common factor of 1267 and h?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -3, 117, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38702*p + 38645*p + 1425 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjx when three letters picked without replacement from {u: 2, x: 1, j: 5, i: 2, f: 4, g: 1}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*60412.44.\nAnswer: 241649.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 930 + -919. Let y(l) = l**3 - 14*l**2 + 42. Calculate the remainder when y(14) is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8237*h + 2 + 4*h**2 + 8217*h - h**2.\nAnswer: 3*h**2 - 20*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(8\/7)\/x**8)\/(x*(x\/x**(1\/2))\/x*x)**(-8\/5) assuming x is positive.\nAnswer: x**(-156\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (0 - -2)) + (26 - 29).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4534*k + 263319*k**2 - 76712*k**2 - 4534*k.\nAnswer: 186607*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*3*(-4)\/4. Let f(a) = a**3 + 5*a**2 + 4. Let k be f(-5). Suppose 3*b = -p*i + 315, 4*b - 393 = i + k*i. What is b rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -40*r**4 + 188*r**3 + 20*r**2 - 300*r + 204. Let i(d) = -8*d**4 + 38*d**3 + 4*d**2 - 60*d + 41. Let v(p) = 24*i(p) - 5*u(p). Factor v(c).\nAnswer: 4*(c - 3)*(c - 1)**2*(2*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 66, 88, 110, 132, 154?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o - 56865 = 35577. Is 42 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Is 234066 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 11247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/12166 and -53\/3?\nAnswer: 36498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/(-8) + (-2 - -2) and (15 - 10)*(332\/(-180) - -3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79030 + 159097. What are the prime factors of p?\nAnswer: 3, 13, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-629)\/37)\/(3 - 20\/4).\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 16 = 2*o. Let a = 8 - o. Suppose -5*r = 2*t - 28, a = 2*r - 4*t + 8 - 0. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 42 = -14*x + 11*x, -2*u = -4*x - 38. Let b(g) = u - 18*g**2 - 27. Let h(c) be the first derivative of -5*c**3\/3 + 1. Give b(h(z)).\nAnswer: -450*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 9. Let t be ((-8)\/6)\/(12\/214). Let v = t - -24. Which is the smallest value? (a) v (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.9 (b) -0.3 (c) -2\/7 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1824 divide 871872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**7\/147 + z**6\/105 + z**5\/70 - z**4\/42 - 8*z. Suppose g(l) = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6669 = -3607. Suppose 3*o + z = -o + b, -4*z = -o + 621. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*g - 354 = 0. Suppose 6*s - 2*s + 5*d = 1402, -s - 3*d = -g. Let n = s - 247. List the prime factors of n.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132 (base 9) to base 11.\nAnswer: a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -1 - (57 - 136 - -87)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -254950 times -3.9?\nAnswer: 994305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14170 (base 10) to base 5.\nAnswer: 423140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -50522147.4*-0.4\nAnswer: 20208858.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8.619707 days?\nAnswer: 744742684800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.4 and 0.17.\nAnswer: 2.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6 + 60 = 0. Let f = -8 + i. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6679 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(144) + -4*sqrt(144) - sqrt(144)))\/((sqrt(6) + -1*sqrt(96))\/sqrt(3)).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a decade in months?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 - 6*h + 4*h + 3*h**3)*(h - 2*h + 0*h).\nAnswer: -6*h**4 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**4 + 44521625*d**3 - 44521635*d**2 - 44521625*d + 44521630 = 0.\nAnswer: -8904326, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/18 + (-10)\/(-6). Are j and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 558673, 1116858, 1675043, 2233228, 2791413?\nAnswer: 3349598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b + 587 = 191 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 9*x + 4. Let n be q(-2). Let r be 3\/(-21) - 408\/n. Differentiate -454 - r*s**3 + 477 - 16*s**3 with respect to s.\nAnswer: -135*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 3*w - 3. Suppose 20 = -0*h + 4*h. Let q be t(h). Let p(x) = -x**2 + 7*x + 7. List the prime factors of p(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-9)*(-1983)\/36. Let t = 19111\/126 - l. Find the common denominator of t and -55\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-496)\/(-104) - 8\/2) + 0. Which is greater: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229977 divided by 3.\nAnswer: 76659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*((-5)\/(-3) - -1). Let j(f) = -32*f - 4. Let l(c) = -19*c - 2. Let t(r) = -3*j(r) + 5*l(r). What is t(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 439 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, -1 in descending order.\nAnswer: -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/21 + (15\/3 - 3).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -34.5. What is the nearest to -2 in 2\/3, 2\/11, x?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 10*f - 4. Let n(p) = 5*p - 4. Let q(y) = 5*y - 5. Let c(k) = 3*n(k) - 2*q(k). Calculate -7*c(w) + 3*j(w).\nAnswer: -5*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**2 - 113*c = 0.\nAnswer: -113, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4748 - -4852. Sort 2, -5, a, -3.\nAnswer: -5, -3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*f + 24. Let x(i) = i - f*i**2 - 8*i + 8*i. What is x(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7754813?\nAnswer: 11, 704983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30906139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 680 = 4*b - 14859, 4*b + 15571 = 5*g. What are the prime factors of g?\nAnswer: 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114255.\nAnswer: 3, 5, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.49 + 0.01. Put 1, -3, u, -18 in descending order.\nAnswer: 1, u, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2124.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 3, -0.2, -0.3, -3\/91?\nAnswer: -3\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1212\/275 + 342\/25. Let s = 30 - 22. Which is smaller: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.4 in 0.02, -3, 2, -21.14, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 2*o + 2. Suppose 2*q = 2*f + 4, 0*f + 4*q = 3*f + 10. Suppose -f*u - 5 = -1. Give x(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2523, 5235, 7935, 10617, 13275, 15903, 18495?\n\"Answer: -k**3 + 2719*k - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 4.32.\nAnswer: -0.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3993*d**4 + 96*d**2 + 10*d + 2 wrt d?\nAnswer: -95832*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 15*w + 1592. Let a be n(-101). Calculate the highest common divisor of a and 4081.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-13)*l*l**(-6\/19))\/(l**(-2\/9))**(4\/23) assuming l is positive.\nAnswer: l**(-48286\/3933)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16 - -5256716.5652\nAnswer: 5256732.5652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23199 + 11461. Is p\/(-10) - 6\/(-30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 237\/11 + -219\/11. What is the biggest value in -2\/5, 1, w, -1\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-98))\/(3\/9)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 630 + -113429\/180. What is the common denominator of -109\/30 and p?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (-59 + -13 - -51)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -3, 13, 5 in decreasing order.\nAnswer: 13, 5, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 256060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(25)\/sqrt(5) + -5 + -4.\nAnswer: -5 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - z**2 + 2*z + 1. Let j be h(0). Suppose -3*w**3 + 3*w**3 + 2*w**3 + 60*w**5 - w - 61*w**5 - j - w**4 + 2*w**2 = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lljlljljjj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4905050?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20636, 20435, 20224, 20003, 19772, 19531, 19280?\n\"Answer: -5*a**2 - 186*a + 20827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 12:20 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-63)\/(-4) + -1)*4. Let o(h) = -h**3 + 4*h**2 - 3*h + 3. Let y be o(2). Suppose -2*b + y = -w. Solve -5*z - 34 = -10*z + 3*x, 4*z - 4*x = b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*x**4 + 142*x**3 - 4*x**2 - 803*x - 5355092?\nAnswer: -8*x**3 + 426*x**2 - 8*x - 803","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90986.\nAnswer: 2, 7, 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1067*u + 1059*u + 1056 = 0. What is the greatest common factor of 36 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w**3 + 390*w**2 + 6*w - 646. Calculate i(78).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -23*o + 1. Let i be k(1). Let r be (-5)\/(-15) + i\/(-6). Suppose -r*l - 10 = p - 2*l, 0 = -2*p - 5*l - 25. Is p bigger than -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 6*n**2 + 3*n + 24. Let h be a(7). Find the common denominator of (h\/(-290))\/(-7*5\/(-1925)) and -20\/11.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*k**3 + 9 - 27 - 17*k**3 + 23*k**3 wrt k.\nAnswer: -39*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 758 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 130. Let t(q) = -3*q. Determine t(z(g)).\nAnswer: 3*g - 390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.001 (b) 0.5 (c) 11 (d) 1 (e) -1\/337\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 11:07 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5287 - 3536. Which is smaller: 2\/3 or w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 2 = -2, -4 = a - 4*v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -169.1+-0.2\nAnswer: -169.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-74)\/2072*((-147)\/36)\/7\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 11698 + 11782 = 32*i, 0 = -4*c - i + 23 - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 28236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 - (5 - 1) - ((7 - 11) + 9 + -3).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o - 128 = -s + 153, -4*s + 4*o + 84403 = 84335 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 - 56 - 111 + 290 - 63 - 6*w**3.\nAnswer: -6*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (82\/(-205))\/((-3)\/105)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3761647 - -2561647. Round m to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387975?\nAnswer: 3, 5, 7, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74536 or 2859?\nAnswer: 74536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2361195 and 202075?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9200 and 932650.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*l + 10 = 0. Let n(m) = 5*m**2 - 7*m + 1. Let i(h) = -6*h**2 + 9*h - 1. Let k(y) = 3*i(y) + 4*n(y). What is k(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6, -24, -54, -96, -150, -216?\n\"Answer: -6*y**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -133, -1069, -3607, -8545, -16681?\n\"Answer: -133*s**3 - 3*s**2 + 4*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h + h**2 - 2*h**2 - 1358 + 1356. Let l(u) be the second derivative of u**4\/12 + 5*u**3\/6 + u**2 - u. What is -5*l(v) - 4*z(v)?\nAnswer: -v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46829 is divided by 836?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10095 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-12 + 5 - -3) + 5 + -1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2524 + 2518. Which is the third smallest value? (a) -0.5 (b) z (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 878 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -382, -381, -380, -379, -378, -377?\n\"Answer: m - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -402405 != -402407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-134)\/(-536)*(1\/(-51))\/(4\/((-128)\/20))\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9098605.\nAnswer: 5, 29, 131, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-297))\/((-3)\/24)*(-63)\/(-42)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*y**3 - 12417*y - 932 wrt y?\nAnswer: -12*y**2 - 12417","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**6\/120 + 7*b**5\/60 - b**4\/6 - b**3\/6 + 3*b**2. What is the remainder when k(5) is divided by (-8)\/6*(-15)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**8\/6720 - 23*r**6\/720 - r**5\/60 - 14*r**2. Let t(o) be the third derivative of m(o). Differentiate t(s) wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**6\/720 + m**5\/30 + m**4\/12 - 4*m**2. Let t(q) be the second derivative of g(q). What is t(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 9:16 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -16*h**3 - 6*h**2 - 14*h - 14. Let c(m) = 21*m**3 + 5*m**2 + 15*m + 15. Let o(d) = -3*c(d) - 4*i(d). Give o(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6480, 11854, 15090, 15120, 10876, 1290?\nAnswer: -14706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -29754842 to the nearest 10000.\nAnswer: -29750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**6\/720 - 53*n**5\/120 + n**4\/144 + 53*n**3\/12 + 1707*n**2. Factor z(i).\nAnswer: -(i - 1)*(i + 1)*(i + 159)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 3630533?\nAnswer: -3630533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/18)\/((-5)\/(-3)). Let b be 2 + (11 - -1)*(-36)\/135. What is the closest to -1\/2 in -5, c, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*a - 468 = 170*a. Let h(v) = 0*v**3 - 2*v**3 + 15 - 14. Let m(l) = l**3 - 1. What is a*h(o) - 5*m(o)?\nAnswer: 3*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2453295690*u**4 + 34346202312*u**3 - 601061829692*u**2\/5 + 15349768*u\/5 - 98\/5 = 0.\nAnswer: 1\/78315, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2597, 1\/48, 0, -2?\nAnswer: 2597","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 2. Let k be j(-2). Suppose -3*g + k*g - 27 = 0. Let h(y) = y**2 + 10*y + 13. Calculate the least common multiple of 18 and h(g).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, f: 3}. Give prob of picking 2 g and 2 f.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k. Suppose 5*c + 3 = 6*c. Let d = 68 - 69. Let i(g) = 4*g + 1. Give c*l(z) + d*i(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 45*w + 1\/3*w**2 = 0. What is w?\nAnswer: 0, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/15)\/2)\/(((-272)\/(-760))\/17)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10138\/4447 or 3?\nAnswer: 10138\/4447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 241*m. Let o(q) = 3775651*q**2. Calculate o(j(c)).\nAnswer: 219293585731*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 1. Suppose 0 = -h + f*h + 2*z - 1293, 5*z = -5*h + 1290. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19*5\/(-95))\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 72820, 72872, 72948, 73060, 73220, 73440, 73732?\n\"Answer: 2*y**3 + 38*y + 72780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 791626 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5 + 28*v - 20 - 34*v. Let c(f) = -f**2 + 9*f + 3. Calculate the remainder when z(-11) is divided by c(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*g**2 + 34*g - 29*g**2 - 23*g**2 - 5 + 16 - 26*g**2 to the form f + n*g + q*g**2 and give n.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 17*r - 15. Let w be h(15). What is the first derivative of -w + 23 + 35 + 15*x**2 wrt x?\nAnswer: 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39120 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e5 - 0?\nAnswer: -e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 40. Let p = z - 20. Suppose -5*o - 4 = -4*o, -n + p = -2*o. Solve -w = 4*s - 9, 2*w - 5*w - 2*s + 7 = n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*l = 20*l - 15. Let q(r) = -r**3. Let s(k) = 4*k**3 - k**2. Calculate l*q(g) - s(g).\nAnswer: -g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/234)\/((-4)\/18))\/((-33)\/(-264))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(9*2))\/((-1068)\/(-4806)))\/((-615)\/(-240))?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/27)\/v**12 assuming v is positive.\nAnswer: v**(-322\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 349*u - 1380. What is the thousands digit of z(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p - 1. Calculate the remainder when 48 is divided by f(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.81 - 0.68. What is m rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - (720\/(-42) + 8\/2). Solve -12\/7 - h*d + 18\/7*d**2 = 0.\nAnswer: -2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*t - 48 = 53*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 3)*(-6*b - 7 + 7)*(-28 - 31 + 15).\nAnswer: -528*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 90. Suppose b = o - 31. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5 - 7 = 0. What is the remainder when 34 is divided by (-330)\/(-44) + y\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**4 - 345*v**3 + 342*v**2 = 0. Calculate v.\nAnswer: 0, 1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 700094808.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = -48*i - 144 + 136 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130.2743 minutes in hours?\nAnswer: 18.837905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/28)\/((-42)\/4). Let g be 2\/(-10) + ((-63)\/140)\/((-6)\/16). Which is smaller: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 906736 is divided by 126.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((-10)\/(-6)) - -63. Let d be 725\/h - 2\/(-8). Let f = d - 12. Which is smaller: 0.1 or f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104216 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 - 5*s**2 - 3*s**2 + s + 5*s**2 + 2*s**2 - 6 - 49*s**3 to the form f*s**2 + y*s**3 + m + o*s and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 2*o**2 - 4*o**2 + o**2 - 2 - 3*o. Suppose -z - 14 = -3*z. Let c = -9 + z. Determine s(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3794187 greater than -3794188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 25 = 3*s, 0*n + 2*n = s + 11. Let z(h) = -2*h**3 - 19*h**2 - 11*h - 5. Let o be z(s). Let c(q) = q**2 - 14*q + 9. What is c(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1318 - 1314. Let l(c) = -11 + 8*c - 6*c + c + 2*c - o*c. Suppose 15 = 5*r - 25. Give l(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2993 + 0.0298108?\nAnswer: 2993.0298108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 1:49 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -11*i**2 - 20*i - 20. Let f be (8 + 16)\/3 - -4. Let s(g) = f + 7*g + 15 - 39 + 8 + 4*g**2 + 11. Determine -6*b(h) - 17*s(h).\nAnswer: -2*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -51, -0.2, 0, -0.58?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 179\/6 + -373\/6. Let c = y - -33. Let -8\/3*r**2 + c*r + 0 = 0. What is r?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 3*o - 11, -78*z + 75*z + 2*o = -6. Let k(c) = -c**3 - 6*c**2 - c - 7. Let f be k(-6). Sort z, -4, f in descending order.\nAnswer: z, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4386407443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -911\/40 + 102\/5. Find the common denominator of 75\/4 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 17 = 4*i, 33*g = -2*i + 30*g - 19 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1164, 1171, 1180, 1191, 1204, 1219, 1236?\n\"Answer: i**2 + 4*i + 1159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/751? (a) 2 (b) 4 (c) -3 (d) 33 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -943*i - 10. Let s be w(-6). Suppose 0 = -5*z + 3017 + s. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 + 0*z**4 - z**4 + (z + 2*z - 5*z)*(-4*z**3 + 4*z**3 + 4*z**3).\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36\/23 - -258\/253. Which is smaller: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -253, 1498, 4435, 8552, 13843, 20302?\n\"Answer: -j**3 + 599*j**2 - 39*j - 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u + 1. Let x = -110 - -109. Calculate g(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 3, -149, -7 in decreasing order.\nAnswer: 5, 3, -2, -7, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*i + 10, -3 = 2*r - 4*i + 3. What is the fourth biggest value in -0.4, -0.2, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 4 - 4 + (-g + 1 - 1)*(-4 + 4 - 1))*(19137 - 10184 + 17*g - 10170)*(-g**2 + 2*g**3 + g**2).\nAnswer: 102*g**5 - 7302*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 65 + -5?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52817121*t**5 - 26*t**2 - 366116*t wrt t.\nAnswer: -3169027260*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 6. Calculate p(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/((-32)\/(-470)))\/(-1). Let c = k + 143. Find the common denominator of c and -39\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -21\/5, -40, 0.1, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 49*h**2. Let o(d) = 5*d**2. Determine a(o(v)).\nAnswer: 1225*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 59?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8637 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, 0.3, 3, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 2431542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 11:53 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 8*k + 2. Suppose 4*q - 2 = 2*j, 2*q + 5*j + 15 = 7*q. Let d be l(q). Is 2\/7 + (-738)\/d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 + 5 - 6*a**2 + 7*a + 32*a**2 + 4 - 11*a**2. Let v be o(8). Which is smaller: -2\/21 or v?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/3)*o)**(-6))**(-40)*(((o\/((o\/(o**3*o))\/o*o)*o)\/o)\/o**5)\/((o\/o**(4\/5))\/o*o*o\/(o*o*(o**9*o)\/o*o*o)) assuming o is positive.\nAnswer: o**(854\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43071, -44444, -46767, -50046, -54287?\nAnswer: -59496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1422 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 4*a - 30, 0 = -o + 4*a - 46947 + 46922 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/(1\/(-6)*1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14388, 28855, 43322, 57789, 72256?\nAnswer: 86723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 1. Let c(z) = -z**2 - 6*z - 1. Let j be 1*16\/(0 + -4). Let a(o) = j*l(o) - c(o). Determine a(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5234.252 millimeters?\nAnswer: 0.005234252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -740 + 738. What is the nearest to 0.035 in j, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -224 + 181 - (0 + 3 - (49 - 37))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29237*g**2 - 29423*g**2 + 1 + 58865*g**2 - 1.\nAnswer: 205*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 10:58 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*z + 34*z = -364. Suppose 2*q + 1 + 21 = 0. Let y(n) be the second derivative of n**3\/3 - n**2\/2 - n. Let l(x) = 5*x - 3. Calculate q*y(c) + z*l(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2641, -5404, -8167, -10918, -13645, -16336, -18979?\nAnswer: -21562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 1\/6*s**4 - 2*s - 1\/10*s**5 - 1 + 0*s**2 + 0*s**3. Let v(g) be the first derivative of d(g). Factor v(o).\nAnswer: -2*o**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(2\/39))**(-2\/27) assuming v is positive.\nAnswer: v**(-74\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12179 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 249\/2 - 134. Let z = -28\/3 - w. Factor 1\/3*y**2 + z*y**3 + 1\/6*y + 0.\nAnswer: y*(y + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 > -22139\/1172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 650 divide 727032150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 2*h**3\/3 - 6*h**2 + 18*h - 2. Factor p(f).\nAnswer: 2*(f - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2664249008?\nAnswer: 2, 19, 8763977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1802)\/172 - (-23 - 282\/(-12)) - -11?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -912 + 2199. Is w a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 4:28 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21 (b) -69\/28 (c) -2\/27 (d) 3\/5 (e) -7 (f) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -30, 323, 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/493 and 9\/290?\nAnswer: 4930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81116519 and 2684?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36452 + -36445. Let n(f) = 2*f**3 - 6*f**2 + 32*f. Let h(v) = 2*v**3 - 7*v**2 + 32*v. Calculate t*n(p) - 6*h(p).\nAnswer: 2*p**3 + 32*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52063 is divided by 186?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -108 + 111. Let d(w) = 24*w**2 - 4*w - 5. Let v be d(-4). Suppose -a*u + v = 50. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 8\/11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313152 is divided by 1078.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - -5*32\/(-120). Sort 10\/11, -0.1, n in decreasing order.\nAnswer: 10\/11, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 2, 238204 in increasing order.\nAnswer: 1, 2, 3, 238204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 6:38 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*h - v - 3, 4*h - 4*v + 24 = 0. What is the remainder when 46 is divided by (h + 5)\/((-2)\/(-12))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4056 = 6*m - 4170 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -7*y**2 - 12. Let t(v) be the second derivative of -13*v**4\/12 - 11*v**2 - v - 38. Let i(c) = -11*b(c) + 6*t(c). Let o(k) = -16*k**2. Give o(i(j)).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/2 + 3026199*z\/2.\nAnswer: 3*z*(z + 1008733)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-4)*(0 + -2). Let y = u - -10. Suppose y*a - 5*t - 155 = 0, -a + 5*t + 9 = -6. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, j: 9, z: 5, o: 5}. What is prob of sequence zs?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/9*r**5 + 5\/9*r - 1\/9*r**4 - 2\/9*r**2 - 2\/3*r**3 + 1\/3.\nAnswer: (r - 3)*(r - 1)*(r + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 376, 1556, 3534, 6310, 9884?\nAnswer: 14256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -636894696 divided by 788\nAnswer: -808242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*f + 6249 - 6025 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 11*d + 15*d = 11, 0 = -5*h - 3*d + 21. Factor -3*z**4 + 9*z**3 + 22*z**3 + 57*z**2 + 23*z**h.\nAnswer: -3*z**2*(z - 19)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**2\/9 - 76*c\/9 - 722\/9 = 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-175))\/((-2)\/(-30))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 913, 846, 273, -1058, -3399, -7002?\nAnswer: -12119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -7. Let v be 80\/70*1\/(-4). Which is the nearest to v? (a) -0.4 (b) 0 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 + -4 - 1) + (-83 - -75).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9 - -1)*1\/((-4)\/2). Suppose 0 = -k*j - 16 + 28. Find q, given that -q**3 - 5*q**2 + 24 - 44*q + 29*q**2 + 5*q**j - 8*q**3 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 298 + -97. Suppose -4*v - 19*r + 199 = -14*r, -3*r = -v + 54. Calculate the remainder when c is divided by v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0*j**4 - 3*j**2 - j**4 - 4 + 1 in the form d*j + h*j**2 + i*j**3 + n*j**4 + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**13*h*h*h**(-2)*h)\/((h\/h**(-11)*h)\/h*h**(-3\/8)) assuming h is positive.\nAnswer: h**(19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - h. What are the prime factors of n(5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 13*x - 36 = 3*u, -2*x + 4*u + 24 = 0. Solve 18*t - x*t = -18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 11*v = 7*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -278490.\nAnswer: 278489.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*m**2 + 12*m**2 - 4 - 4*m**4 + 60*m + 0 - 12*m**3 + 4 = 0. What is m?\nAnswer: -5, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -29477\nAnswer: 265293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1105\/8 - 138. What is the nearest to -2\/3 in 3\/7, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/18 and 2\/5 - (-4173)\/5330?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36503 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 28 - 3*f)*(28 + 2 + 42).\nAnswer: -216*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 3211 = -6641. What are the prime factors of l?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 4*a - 1798.\nAnswer: 2*(a - 31)*(a + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 536 - 126*l**2 - 7650*l**2 + 1683*l**2 + 1525*l**2 wrt l.\nAnswer: -9136*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/2 + 0)*(-60)\/(-8). Find the common denominator of 18\/g - 231\/(-60) and -13\/50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 + 99 + (2 - (-8)\/2) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 189*q**4 - 71*q wrt q?\nAnswer: 2268*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 27. Let y = -1 + 5. Is l at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 175, 5, 2, -47, -5 in descending order.\nAnswer: 175, 5, 2, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8483643*0.4\nAnswer: 3393457.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 878 a factor of 1087946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 1235*r**2 + 16414*r - 830280.\nAnswer: (r - 20)*(r + 34)*(r + 1221)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a minute in seconds?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, p: 5, r: 1, t: 6, z: 2}. What is prob of picking 1 z, 1 y, and 1 t?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/6)\/o*o**(-8)\/o*(o\/(o\/(o*o*o**(-2\/3)))*o)**43)\/((o*o\/(o*o\/((o**(2\/27)\/o)\/o)*o*o))\/o**(2\/3)*((o*o**0)\/o*o)**27) assuming o is positive.\nAnswer: o**(3677\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 133847.9 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2861 divided by -66697?\nAnswer: 2861\/66697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28147200, -56294398, -84441596, -112588794?\nAnswer: -140735992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 5:43 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njk. What is prob of sequence nk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117014766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 5*c + 8. Let q be b(-6). Factor 2*k**2 + k**3 + q - 4*k**2 + 1 - 1 - k.\nAnswer: (k - 2)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*p = -2*p - 127, -4*c + 4*p + 104 = 0. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2447 + -2447.0000006562. What is g rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000027421 rounded to seven decimal places?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7372948 equal to 7372957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t - t**5 + 0*t + (6*t**2 - 2*t**2 - 2*t**2)*(t**3 + 0*t**2 + 0*t**2) + 0 - 2*t**5 + 0 + 7735*t - 15*t**5 - 3*t**5 - 7876*t.\nAnswer: -19*t**5 - 141*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 722 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-180))\/((-1)\/(-50)*10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 25. Which is the third smallest value? (a) -3 (b) l (c) 4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -4*n + 22, 5*l = 3*n + 34 - 36 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1562*i - 84422. Give g(53).\nAnswer: -1636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 16.0798 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a + 4*a + 144. Let k = 17 + a. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7600579 is divided by 165.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69630872 divided by 4.\nAnswer: 17407718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.4 + 23.8. Let l = -15 + 16. Let g = -36.6 + 36. What is the third biggest value in l, h, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4541606692 to the nearest 100000.\nAnswer: -4541600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3066474 or -3066477?\nAnswer: -3066474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 30250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*u**2 + 57*u**2 + 0 - 1.\nAnswer: -3*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5100000*o. Suppose -5*r - 21 = -11. Let z be m(r). Round z to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.28 rounded to 0 dps?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/7)*m**(-1\/5))\/(m*m**(-4)*(m\/(m\/m**(5\/4)))\/m) assuming m is positive.\nAnswer: m**(437\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*b = -136*b + 2438. What is the highest common factor of 4 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27813002?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zr when two letters picked without replacement from {r: 1, h: 3, z: 2, d: 1, w: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 10. Let w = 4 - s. Let i = -1\/32 - -19\/96. Which is the second smallest value? (a) i (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 1:46 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 475*a**3 - 153*a**3 - 161*a**3 - 159*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/3)\/f**(-4\/5) assuming f is positive.\nAnswer: f**(17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-5))\/(8\/(-10) - -1). Suppose 8 = 4*k - 0*k, -4*f + c = -4*k. Suppose 0 = 3*h - f*u + 924, 3*u = -3*h - 726 - 219. Round h to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(4\/9)*l**(1\/4))\/(l*l**24*l**(1\/29)))**(-25) assuming l is positive.\nAnswer: l**(635275\/1044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -51*o**2 + 0*o - 1\/180*o**6 + 0 + 1\/18*o**4 + 0*o**3 - 1\/90*o**5. Factor g(b).\nAnswer: -2*b*(b - 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 25531790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*x**2 + 7*x**2 + 8 + 0 - 84*x**2 as k*x + s*x**2 + o and give s.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = n - u, n - 2*u - 4 = 7. Let r be (-20)\/n + 6 + 2\/3. Is 42\/(r - -3) - -2 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5155*z**2 + 10301*z**2 + 3786*z**3 - 5147*z**2)*(-5*z + 3*z + 0*z) to the form g + m*z + i*z**3 + v*z**4 + x*z**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48.9 + -49. Which is the biggest value? (a) l (b) 4 (c) 0 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2. Let z(r) = 31*r + 32*r - 101*r + 31*r. Determine z(d(q)).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 36430, 72847, 109266, 145687, 182110?\n\"Answer: v**2 + 36414*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (0 + -4)) + -13 + -10 + 8\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*n = -96, -n = 7*a - 2*a + 120. Let s be (-40)\/(-140) - a\/14. Let q be 78\/(-9)*(-2)\/12. Do s and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/9 + 76*i**3\/9 + 104*i**2 + 3380*i\/9 - 4394\/9.\nAnswer: 2*(i - 1)*(i + 13)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/7*f + 269\/7*f**2 - 192\/7 - 65\/7*f**3 + 4\/7*f**4.\nAnswer: (f - 8)**2*(f - 1)*(4*f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 4, -5*p + 5*s = 10*s - 20 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 30 = -y. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (-28)\/(-13) + 648\/351. Is 6523\/c + ((-63)\/6)\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7c (base 14) in base 3?\nAnswer: -11002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31393946.6 take away -0.222?\nAnswer: 31393946.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13461906 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58151 - 58157. Let a = -4 + 0. Sort a, 10, n in decreasing order.\nAnswer: 10, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - -2) + 47 + 76 + -103.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78*-0.2.\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(108) - (sqrt(108) + 1 - sqrt(108))) + sqrt(108))**2 - sqrt(108)) + 5 + 4 - 6*(-4 + 1*sqrt(108)))*6.\nAnswer: -396*sqrt(3) + 2796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 3*g - 7. Calculate o(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 43 * 288\nAnswer: 12384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-130)\/(-715) - (114\/22 - 1). Suppose 7*m = 11*m - 4. Is m >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0*d + 16. Let f be 3*1 + (d - -8). Solve 0 = f*k - 4 - 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 11, -1\/127, 8, 4, 0.5, -1\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.71 + 0.09. Let l = 1 - y. Let q = -19.9 - -20. What is the nearest to q in 4, 2\/13, l?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1856)\/5824*78)\/((-3)\/(-7))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*n + 20*n + 708. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 3*k**2 + 1. Let v be p(4). Let r = -1 - v. Calculate the smallest common multiple of 4 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 0*u**3 - u**2 - 12546802*u + u**3 + 12546801*u - 26. What is s(0)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -128.1 - -127.8. What is the biggest value in -3, 4, -26, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -790320567 times 0.1?\nAnswer: -79032056.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29\/2 in -318, -4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -r - 5. Let q = -2 + 4. Let z(u) = 4*u**2 + 0*u**3 - r - q*u**3 + 3*u**3 - 6*u. What is z(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/25, 0, -0.23, -1.1?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 7 = -2*c, 3*c + r = 4 - 1. Differentiate -c + 7*b**4 + 6 - 3 + 2 with respect to b.\nAnswer: 28*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 32. Let w = 178238 + -178125. What is the remainder when w is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + (1*sqrt(4050) - sqrt(4050)) + (sqrt(250)*1)\/sqrt(5))\/(2*sqrt(4000)).\nAnswer: sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y = 70 + 84. Let b(n) = -203*n - 30. Is b(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 - 124*i - 1125. Calculate the remainder when v(-10) is divided by 43.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -54*w**3 - w**2 + 6. Let f(h) = -55*h**3 - h**2 + 7. Let i(z) = 6*f(z) - 7*q(z). Is i(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 31, 56, 101, 172, 275?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1*(-20)\/(-4)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*o**2 - 727*o**2 + 376*o**2.\nAnswer: 37*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1420*d**4 + d**2*w + 38*w - 9 wrt d?\nAnswer: -5680*d**3 + 2*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2*n + 5*u + 70, 5*n = u + 98. Find the common denominator of (-266)\/(-24)*n\/(-14) and -25\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 125922, 125903, 125884, 125865?\n\"Answer: -19*y + 125941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -3. Suppose 0 = -p*g + 4 + 2. Suppose 78 = g*o - 0*o. What is the highest common factor of 39 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 - 63. What is the nearest to 2 in 4, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4034138015 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -32, -4, 1\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/7 (b) 2 (c) -2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + x**2 + x - 3. Let h be r(2). Let t = h - -17. What is the smallest common multiple of t and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 364 and 336?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 182051 - 108138259\/594. Find the common denominator of 41\/108 and k.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 m when two letters picked without replacement from grgioigrgmomg?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -27*a**3 - 3*a**2 - 15*a + 15. Let x(i) = 7*i**3 + i**2 + 4*i - 4. What is 4*d(l) + 15*x(l)?\nAnswer: -3*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 6*f + 40. Suppose 9*t + f = 4*t. Is t\/18 - (-14885)\/117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -167\/14 - -430\/7. Suppose l = -g + 1, 3*g - 14 = -5*l + g. Find the common denominator of u and l\/6*68\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105681.8 - -0.2?\nAnswer: -105681.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 - 6.4. Let p = -0.152 - -0.052. Which is the third biggest value? (a) p (b) 0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -422, 1098, 2624, 4156?\n\"Answer: 3*n**2 + 1511*n - 1936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 102 divided by 27\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 10:52 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -8\/201164621?\nAnswer: -8\/201164621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (0 - 4\/12)*-13896 - 0\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -100643 + 63?\nAnswer: -100570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 671 (base 12) to base 8\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 671647 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-168) - (-2)\/(-7).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*y = 56*y + 92596. Calculate the remainder when y is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*x - 2, 5*g - 3*x = -1 + 17. Let m = 208 - 192. Let v be m\/40*(0 - -5). Solve v*r = 3*n + 5, -4*r - n + g = 13 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 8:20 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-141)\/(-21) - (36\/(-28) + 1). Let m(q) = q**3 - 2*q**2 - q + 3. Let g(c) = c**2 + c**2 - 7 - 3*c**3 + 2*c**2 + 2*c. Give l*m(j) + 3*g(j).\nAnswer: -2*j**3 - 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180131 is divided by 4419.\nAnswer: 3371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 4 = 2*q + t, -36 = 2*q + 3*t. Let u(d) = d**2 + 1. Let f(s) = -7*s**2 - 10*s + 8. Let i(z) = f(z) + 6*u(z). Calculate i(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.84832705 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144 - 10*f + 30*f + 144.\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**4 - 1885*v**3 + 2*v**2 + 22*v + 6 wrt v.\nAnswer: -48*v - 11310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) -3 (b) 0.4 (c) 18 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6*244\/(-610)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 7:03 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*(3 + 2*(sqrt(396)*3 + sqrt(396))*-3 + -4) + 2)**2.\nAnswer: -1440*sqrt(11) + 228121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 + -80.74. Let x = -0.96 - -0.06. Let b = x + l. What is b rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**3 + 2*j**2 - 2*j - 2. Let f(c) = 3*c**3 + 3*c**2 - 3*c - 3. Let x be 1 - (-2 + 11 + -5). Calculate x*o(a) + 2*f(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3 - 8*l**4 + 1 - 7\/2*l**5 + 11\/2*l + 7*l**2 = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -508*o - 908. Let m be r(-2). Solve m = -23*j + 200 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 1497612?\nAnswer: 7488060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6193850 to the power of 1\/2, to the nearest integer?\nAnswer: 2489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59.067 - -59. Let u = l - -13.067. Is u greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-5)\/(-10))*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -25*p**3 - 2*p**2 + 2*p. Let x be o(1). What is the units digit of (-130)\/(-4)*((-520)\/x)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 287 in 0.3, -0.4, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*x, u + 2*x = -2*x - 1. Determine a so that 180*a**4 - 54*a**4 - 2*a + a - 3*a + 36*a**2 - 109*a**u - 49*a**5 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**2 + 173*c - 15*c + 3*c**4 - 2*c**4 + 72*c wrt c?\nAnswer: 12*c**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -0.08 (b) -18 (c) 1 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29, -210, -667, -1532, -2937, -5014, -7895?\n\"Answer: -22*g**3 - 6*g**2 - 9*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87742, 87463, 86998, 86347?\nAnswer: 85510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1133652366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35652 or 35660?\nAnswer: 35652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4249067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -14*g + 6*g. Suppose g + 32 = 9*q. Sort 3, 4, q, 1 in descending order.\nAnswer: q, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z - 377211 + 116211. What is z rounded to the nearest 1000?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6592 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 887*u + 36. Let j(d) = 2153641*d + 87414. Let h(p) = -6*j(p) + 14569*t(p). Let i(c) = 4*c. Determine i(h(o)).\nAnswer: 3428*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 17*p + 18. Let y be a(16). Suppose y*l + 2850 - 6728 = 0. Let i = 3470 - l. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - p + 209, 79 = 3*b - 3*p - 146. What is the remainder when 139 is divided by b?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/11, 3, 26\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3 + 7. Let c be (-4)\/(-10) + (-7)\/5. Sort c, -3\/4, q.\nAnswer: q, c, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 55576 and 0.1.\nAnswer: 55576.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55025 and 300?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -3199?\nAnswer: -3\/3199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39102296?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -18, -7\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 617458 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3144 - -5?\nAnswer: 3152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022.7 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2\/5 - 150836*i\/5 - 30168.\nAnswer: 4*(i - 37710)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2719223 is divided by 271922.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:06 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 7*l + 9. Let w(j) = -j - 1. Let p(m) = 2*b(m) + 18*w(m). Let o(q) = 8*q + 1. Suppose 0 = y - 0 - 7. Let c(v) = y*p(v) + 3*o(v). Determine c(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23057510033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z**3 + 25*z**3 - 8*z**3.\nAnswer: 29*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d**2 - d**2 + d**2)*(221*d**2 + 367 - 367 - 1090*d**2) in the form r*d**3 + y*d + i*d**4 + j*d**2 + p and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(36)\/sqrt(192) + (sqrt(3) - sqrt(15)\/(sqrt(45) + sqrt(5))).\nAnswer: sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(294)*-4))**2.\nAnswer: 3\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 281704885 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -101020 (base 3) in base 15?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 84864 = 28404 - 61972. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6 + 2*y + 9*y - 2 - 1. Is t(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.54 - 3.89.\nAnswer: -4.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1)*c)**4\/(c**0)**15 assuming c is positive.\nAnswer: c**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -1 + 3 - -1) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) -0.01 (c) 2 (d) -3 (e) 2657\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146534 is divided by 1340?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2. Let u(o) = -o**2 - 9*o - 14. Let f be u(-7). Let i(l) be the second derivative of 0 + f*l**2 + 1\/12*l**4 + 0*l**3 - 2*l. What is i(y(a))?\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 180.86 - 181. What is the third biggest value in 0.1, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -5, 5, 8, 0, 2 in ascending order.\nAnswer: -14, -5, 0, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -cce347?\nAnswer: cce34c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-5)\/b)\/b)\/b)\/(b**(-3\/11)*b*b) assuming b is positive.\nAnswer: b**(-107\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -43, -3 in ascending order.\nAnswer: -43, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**5 - 61*a**4 + 2*a**2 - 59746*a.\nAnswer: 40*a**3 - 732*a**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*y + 41*y = 8, 4*g = 5*y + 148. Calculate the smallest common multiple of 12 and g.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**4\/24 - h**2. Let y(j) be the third derivative of -j**5\/30 + 691*j**2 + 2. Give n(y(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5*d + 6. Suppose 0 = 4*j - 5*b + 40, j = -4*b + 13 - 2. Suppose 4 = n - 4*l, l = -3*n - 2*l + 27. Let o(u) = -3*u + 4. Calculate j*c(v) + n*o(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3702, 7610, 11518, 15426, 19334?\n\"Answer: 3908*f - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j**2 + j**2 + j**2)*(6*j - 15*j**2 - 1 + 20*j**2 - 2*j**2) in the form t + x*j**4 + y*j**2 + f*j**3 + z*j and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19540, 39076, 58612?\nAnswer: 78148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 7. Suppose x = -3*n - 20, -n - 6 + 1 = 0. Let m(f) = 2*f + 1 - 9 - f. Determine x*m(p) + 6*b(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 39 + 31. Let x be -2*(-2 - 30\/k). Let j = 86\/343 - 1\/1372. Which is the nearest to x? (a) -0.4 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 79, 115, 131, 127, 103?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 10*v**2 - 2 + 3 - v + 11*v**2. Suppose 4*f - 2*d + 21 - 19 = 0, -3*d + 4 = -5*f. What are the prime factors of x(f)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1152)*-1 - sqrt(8))*-5)\/(sqrt(20)\/sqrt(80) - (sqrt(324)*-2 - sqrt(324) - sqrt(4))).\nAnswer: 260*sqrt(2)\/113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 41*c**3 + 45*c**2 + 6*c + 20. Let k be o(-7). Round k to the nearest 100.\nAnswer: -11900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 d, and 1 x when four letters picked without replacement from ddxxqxd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**6\/360 + j**5\/20 - j**4\/6 - 127*j**3\/6 - 197*j. Let g(d) be the second derivative of i(d). Give g(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*f = -35 - 78, -3*m - 348 = -3*f. Let t = m - -197. Is t > 394\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - 6. Let j = 26 - 10.5. Let x = q + j. What is the closest to -0.3 in 0.2, x, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144*-17085\nAnswer: 2460240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15\/43 - 13\/86. What is the closest to 0 in -2\/3, 1, 4\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76215099 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161743771.\nAnswer: 7, 31, 127, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 194*f + 708 = -24*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 516, 941, 1260, 1389, 1244, 741?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 261 - 150. What are the prime factors of u?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11*5849\nAnswer: 64339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/6 + 53086240*v\/3 + 1409074438668800\/3.\nAnswer: (v + 53086240)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413*g = 428*g - 13290. What is the remainder when g is divided by 225?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 0*r**2 + 2*r**3)*(7*r + 3*r - 6*r) - 4*r**4 + 5*r**4 + 0*r**4.\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 363*i**2 + 13*i - 35. Let c be q(3). Let j = c + -1994. List the prime factors of j.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. Let n(y) = -y**2 + 31*y + 4. Let m(d) = -2*d**2 + 70*d + 9. Let j(x) = -4*m(x) + 9*n(x). Let l(w) = -4*w**2 - 3*w. Determine g*l(a) - 6*j(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199154400.\nAnswer: 2, 3, 5, 82981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 10. Let g(s) = 2. Let p(x) = 5*g(x) + q(x). Let h(l) be the third derivative of l**5\/5 - 9*l**2. Give h(p(i)).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**2 - 14*x**2 - 5*x**2)*(3 + 0 - 1) in the form s + v*x**2 + d*x and give v.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**8\/840 - s**5\/60 + 2*s**3 + 3. Let u(n) be the third derivative of q(n). Find the second derivative of u(r) wrt r.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000418 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*y = -12, -3*j + j + 7 = 3*y. Let a(p) = 2*p - j*p + p + 5 - 3*p. What is the units digit of a(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 10) in base 12?\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*z - 5*s, 2*z + 3*s - 2*s = 3. Let n be (z\/1 - 2) + 2. Let a = n - -3. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3\/3 - 135113365*s**2\/3 + 270226745*s\/3 - 135113375\/3.\nAnswer: -5*(s - 1)**2*(s + 27022675)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5 - 106*l + 4 - 47*l + 8*l. Is v(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -92 + 131. Suppose 0 = 35*s - b*s + 216. Suppose -15 = 3*a - s. Calculate the remainder when 23 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 94*n**2 + 98*n + 470. Let p be o(-93). Solve 1 = -t - z - p, -3*t + 2*z = -7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151c7 (base 14) in base 11?\nAnswer: -364a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1433579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**21*c)**15\/(c*((c*c*((c\/(c*(c\/c**(-41))\/c))\/c)\/c)\/c)\/c*c**(-3\/17)*c) assuming c is positive.\nAnswer: c**(6310\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (4 - 7) - (0 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**3 - 489*w**2 - 20640*w - 57600 = 0. Calculate w.\nAnswer: -80, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from {o: 1, c: 4, i: 6, j: 4, y: 1}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16975)\/(-582))\/(-175))\/(1\/174).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2 = -2*g, 3*l = 2*g + 295. Suppose 5*p - l = -24. What is the tens digit of p - (-2 - 1)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 3, r: 3, d: 3, g: 10}. Give prob of picking 1 z and 1 r.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 10*q**3\/3 + 2317. Let m(d) = 65*d**2. Give z(m(c)).\nAnswer: 42250*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (0 - ((-7 + 2 - 1) + 12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1\/8, -2, 9?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312 = 2*r + 22*n, 32*r - 53*n + 8 = 63*n + 60*n - 172*n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 187509001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i - 2. Let g be w(-2). Let t = -2 + g. Solve 5*o - 1 + t = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + 4 + (14 - 27)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-23)\/(-5) + (-4)\/(-10). Suppose -7 = w*v - 262. Suppose -2*a = -a + 2*r - 10, -v = -4*a + 3*r. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 6 - 13 = -2*i, -o - i = -3. Let h be o + (20 - 2) - 1. What is the units digit of (-6)\/h + 462\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from {u: 2, d: 1, q: 7, s: 2, c: 1, n: 6}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83 - 78. Is a <= 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -247 + 0*p + 0*p + 7*p**2 + 257 - p**3. Determine t(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 14 (c) -1749 (d) -1 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y = -503655 + 504032 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 7 (c) 24845\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m. Let t(y) = -11 - 12 - 8*y + 12 - 20*y. Let d(v) = 5*i(v) - t(v). Let w(k) = -2*k - 5. What is 2*d(j) + 5*w(j)?\nAnswer: -4*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2211111312 + 112110?\nAnswer: -2210333202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/247 - (-36)\/65 - 1740\/100.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + h**2 + 2*h)*(6*h - h - 3*h) - 2*h**3 + 4*h**3 - h**3 - 2*h + h + 3*h**3 + 0*h.\nAnswer: 6*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 divided by -29?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -41. Let o = -17 + k. Let -12*f + f**3 - f**3 + 11*f**2 + f**2 - 4*f**3 + o = 0. Calculate f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-7 + (3 - -20) + 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 191042 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 + 359*q**2 + 374*q**2 - 2*q - 780*q**2.\nAnswer: 2*q**3 - 47*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.59335, -5 in descending order.\nAnswer: 5, -0.59335, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64.90014 - -65.05022293. Let p = 76.85002007 + v. Let r = p - 77. Round r to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 1021320?\nAnswer: 1021321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3.9 (b) 3\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -595, -1121, -1657, -2209, -2783, -3385, -4021?\n\"Answer: -s**3 + s**2 - 522*s - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -27. What is the second smallest value in 5\/4, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42263257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7023083.\nAnswer: 53, 132511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-15)\/5*((-5)\/9)\/(5\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 136 - 136.0000467. Round q to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04594 and -5.\nAnswer: -0.2297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14889061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002789 rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 s when three letters picked without replacement from rrrrrrrrrrrsrrr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 912 and 6.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 124 - 112. Calculate the highest common divisor of m and 388.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -440*a + 449*a - 227709 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80119*-0.1\nAnswer: -8011.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 17584 = -3361. Let h = x - 58685\/14. Find the common denominator of 41\/11 and h.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g*i*u + 18*g*i + g*u + 684*g - 2914*i*u + 20 with respect to i.\nAnswer: -3*g*u + 18*g - 2914*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/(-1050))\/(12\/(-14))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93 + -45. Let b be (-5)\/40 + 3\/o*10034. Suppose 5*a - 2*a = b. List the prime factors of a.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**3 + 7*j**3 - 3*j**3 - j**3.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2532625581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 60304?\nAnswer: 120608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 0.5 (b) 67\/2 (c) -1 (d) 331 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8680056?\nAnswer: 2, 3, 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*a + 10*a - 3*a + 7 + 6*a wrt a.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1222522226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 10*l**2 - 4*l - 2. What is n(10)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 21?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288 = 2*j + 11*t, 5*j = -t + 2855 - 2824 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36091532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -1787?\nAnswer: 2\/1787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 10*x**5\/9 - 18374*x**4\/9 - 5316*x**3 + 7328*x**2\/9 + 58880*x\/9 = 0.\nAnswer: -2, -8\/5, 0, 1, 1840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2244 - 203?\nAnswer: 2041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 + 5*d**2 - 4*d + 3. Let h(b) = 3*b**3 - 7*b**2 + 6*b - 5. Let p(t) = -51*t + 862. Let k be p(17). Determine k*h(o) - 7*z(o).\nAnswer: -o**3 - 2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + -7 + 3 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 33*q**2 + 2*q - 27. Let h(a) = -16*a**2 + 15. Let n(i) = -10*h(i) - 6*w(i). Let g(b) = -15*b**2 - 5*b + 5. Give 12*g(m) - 5*n(m).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2596 divide 40279536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 43 = 5*z. Let o be -2 + (2 - z)\/1. Suppose n + 5 - o = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.12 (b) 2 (c) 5 (d) 31 (e) -2\/69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9152053 rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -26*p**2 + 570*p - 122. Calculate f(21).\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-2\/7)*b)**(-39))**(-15)*((b**(-4)\/b)\/((b**5*b)\/b))**(-3\/19) assuming b is positive.\nAnswer: b**(178050\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 11. Calculate the remainder when ((-54)\/10)\/((-4)\/o) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 15*q**3 + 14*q**3 + q**2.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5161.612 - -1347.\nAnswer: 6508.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 9) in base 7?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 5 + 225\/(-110))*-2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -16 + 7 - -16.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/(((-36)\/16)\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119025 and 2116.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6832273.2 + 585240.9?\nAnswer: -6247032.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/8, -64, 8, -5, -10?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9816220*g**5 + 420945*g - 4.\nAnswer: -196324400*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0098124 minus 218780?\nAnswer: -218777.9901876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23022080 and 37145.\nAnswer: 1955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.058, 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1268*y**5 - 195507*y**2 + 195507*y**2 - 448*y wrt y?\nAnswer: -25360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 5 = -2*h - 4*w, -h = 5*w + 3. Let t be (30\/h - 4)\/(6\/(-8)). Solve 4*k = 3*b - 25, 0 = 2*b - 3*k + t - 20 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, -4\/5, -0.3, 23.6, 0.2, 368\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1dd (base 16) in base 12?\nAnswer: -339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21482 - 365192\/17. Which is the smallest value? (a) -2\/25 (b) 4\/179 (c) s (d) 1 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 15*w**2 - 240*w - 3. Let f(z) = -9*z**2 + 239*z + 2. Calculate -3*f(d) - 2*u(d).\nAnswer: -3*d**2 - 237*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157.460521 - 157.47. Round w to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 9*w + 9. Let f be k(-10). Let c = f + 5. Suppose 5*v - 16 = 4*t + 6, v + 2*t + c = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4523041 take away 6?\nAnswer: -4523047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -886. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {c: 4, h: 6, k: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 4568460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-18\/5)\/b)\/b)**(-49)\/(b**24\/b*(b**(12\/11)\/b)\/b) assuming b is positive.\nAnswer: b**(13877\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 6:49 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 278.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - 168\/(-15))\/((-4)\/(-30)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((7 - (9 + -1)) + 12 - 6) + 6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 4:26 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.074 - 0.044. Let h = g - 30.03. Let l = h + 30.0000001. What is l rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 11 + 43 = 0. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -162 + 169. Suppose -3*f - f = -v*f. Let 27\/2*l + 3\/2*l**3 + f + 9*l**2 = 0. Calculate l.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107797 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 5:43 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h**5\/4 - 190795*h**4 - 915769*h**3\/4 + 167899*h**2\/2 + 91577*h - 30526 = 0. Calculate h.\nAnswer: -30526, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 17 - ((3 - 5) + (0 - -6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4570569188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 8. Let b(x) = -1633*x**2 + 6*x - 1620. Let i(z) = -b(z) + 6*m(z). What is the derivative of i(v) wrt v?\nAnswer: 3266*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -3709457660.\nAnswer: -3709457660.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 < -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 491\/3, 4\/7, 3, 1 in ascending order.\nAnswer: -1\/5, 4\/7, 1, 3, 491\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 9*b**2 + 80*b + 12. Calculate the smallest common multiple of 14 and a(13).\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-13571155)\/(-7))\/5)\/3. Let w = -129225 + y. Let n = w - 11191\/420. What is the common denominator of 57\/14 and n?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, o: 2, n: 1, i: 1, t: 5}. Give prob of picking 1 o, 1 n, and 1 i.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 507182 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(156))\/sqrt(12) - sqrt(13) - sqrt(26)\/sqrt(162))**2.\nAnswer: 13\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/3)\/(955\/382).\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 (base 3) in base 14?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 6:52 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 7*y**2 - 5*y - 21. Let p be f(8). Let z(n) = n**2 + n - 4. What is z(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from {i: 7, p: 3, h: 5, w: 1}?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 6. Let h be s(0). Let b be (-32)\/h + (-8)\/(-24). Sort b, -3, -1 in ascending order.\nAnswer: b, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4 + 0 - 3 - 2*z. Let p be h(-5). Let r be -6 + (-64)\/(-20) + 4 - (-354)\/30. Solve 2*n - r = -p*i + 4*n, 6 = -4*i - 2*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 7. Suppose -3*n - 9 = -15. Suppose 0 = -3*s - n*i + 8, 5*i = s + 2*i + 1. Let h be (-6)\/3 - -1 - s. What is f(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -676. Differentiate -671*z + o*z - 12*z**3 - 91 - 70 wrt z.\nAnswer: -36*z**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 18 = 3*w, -c - 1 - 11 = -5*w. Suppose -c*k - 2*t - 287 = -812, -5*t = 5*k - 880. Let m = 2 - -14. What is the remainder when k is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, 6, -1, 28, 0.3, -4\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -3c39238?\nAnswer: -3c39235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 13*m = -14*m - 13, 5*m + 17 = 2*r. What is the remainder when 990 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -930882 - 1595074 - 3*t**3 + 747844 + 286*t**2 - 63504*t - 1042*t**2.\nAnswer: -3*(t + 84)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 3*p**5\/5 - 22*p**2 + 34. Find the second derivative of g(u) wrt u.\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 4*h - 3. Let g be k(5). Suppose 0 = -g*n + 9 + 3. List the prime factors of (n + -2)\/(3\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92 - 107.2. Let i = 9 + z. Let n = 3 - i. Round n to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*j + 11, -h + 4 = 4*j - 5. Suppose 11 = j*i - i. Suppose -8 = 4*p, 2*c + 2*p - 19 = i. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 47159 = 32073. Let p = g - 2783. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 3682.7.\nAnswer: 3696.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51222 (base 12) to base 7.\nAnswer: 620141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**6\/60 + z**5\/2 + 7*z**4\/6 - 254*z**2. Suppose k(d) = 0. What is d?\nAnswer: -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + q - 1)*(-2*q**2 + 3 - 3) - 3 + q**3 + 20 - 13 as v + s*q + n*q**3 + c*q**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 125878056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16707.34 times 3\nAnswer: 50122.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 9:36 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -4*r - 15 + 24 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297, 594, 891, 1188, 1485, 1782?\nAnswer: 2079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2129\/401555 - 2\/1639. Let q = 59\/49 - u. Determine z, given that -2\/5*z + q*z**2 + 0 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73663490761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - i**2 + 2*i - 4. Calculate the smallest common multiple of 134 and p(-3).\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 4181498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(-5))\/(0 - 1). Solve z*l = -4*l + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -9 - (-385)\/35.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 3*p**2 + 2*p + 1. Let d be x(4). Let a = 23 + d. Does 2 divide (2 + a\/(-12))*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 318490 to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 2*g**2 + g - 2. Let t be j(2). Suppose 7*p + d = 2*p + 22, -3*p - 5*d = t. Suppose f + 0*f = p. Solve 0 = f*k - 0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -3. Suppose 0 = 2*h - h - 5. Suppose 3*k - 94 = -h*t - 0*k, 0 = 2*t + 3*k - 43. What is the remainder when t is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4*1 + (-397)\/(-770). Let u = -2991\/770 - y. Calculate the common denominator of u and -143\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 6, 31, 41 in increasing order.\nAnswer: 6, 8, 31, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -69*t + 13 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -17*k**3 + 18*k**2 + 6*k - 29. Is b(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-13)\/(y**(-5)*y))**(2\/27) assuming y is positive.\nAnswer: y**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1178 (b) -0.1 (c) 1 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1221576 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 + q**2 + q**3 - 2*q**3 + 2. Let r be i(4). What is the third derivative of -4*m**5 - 4*m**2 + 2*m**5 + 3*m**r wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 (base 10) in base 12?\nAnswer: 6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-23.7.\nAnswer: 47.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1782\/(-495) - ((-24)\/15 - -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29\/50 + -403\/350. Which is the nearest to 1? (a) s (b) 5 (c) -0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32587.31 rounded to the nearest 100?\nAnswer: 32600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, b: 9}. Give prob of picking 3 b and 1 z.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 10:05 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -31.4. Which is the closest to -1? (a) 0.1 (b) 1\/8 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3235 divided by 385\nAnswer: -647\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/635040 and 89\/20520.\nAnswer: 12065760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10*f - 12*f - 14*f + 30*f - 12*f + 21. Let l(p) = 2*p + 20. Determine -4*l(m) + 5*r(m).\nAnswer: 2*m + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007133 to four dps.\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 95734523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.936?\nAnswer: 3.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**19\/(n**(3\/2)\/n*n)*(n\/(n\/n**(-7)))**(12\/7) assuming n is positive.\nAnswer: n**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 111, 276, 551, 936, 1431, 2036, 2751?\n\"Answer: 55*t**2 + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.24873 millimeters in meters?\nAnswer: 0.05824873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6818100 to the nearest one hundred thousand.\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h + 3*h + 3*h**2)*(5*h - 5*h + 5*h**2) - 394*h**2 - 416*h**2 + 829*h**2 + 22*h**4 as u*h**2 + c*h + v*h**3 + p + b*h**4 and give b.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 6*x = -21. List the prime factors of x\/(-3)*-5 - -390.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 11*z**2 + 2*z + 61. Let i(q) = -4*q - 8. Let x be i(-5). Is u(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.015 + -820.015. Let n = f + 819.6716. Let w = n - -0.32. What is w rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 2, 0.2, 1746, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 32 = 11. Let z be (33\/(-6) - -6)*10. Suppose z*x + a - 149 = 2*u, 0 = -3*x - 3*u + 60. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23451?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47\/7 + 463\/70. Let g = 12 + -21\/2. Sort r, g, 5 in descending order.\nAnswer: 5, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 1:59 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -84*l - 845. Calculate the remainder when y(-17) is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.8 + -270403293?\nAnswer: -270403306.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a. Let n(c) = 3*c**2 - 3*c + 18. Let t(o) = 12*l(o) + n(o). Suppose t(p) = 0. What is p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 415 + -417. Let f = -3 - -2. Is s*(f - (-93)\/(-6)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.41 - -531.41. Let f = g + -525. Let m = -0.1 - -0.1. Which is the nearest to f? (a) m (b) 13 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-33 + 37)*(-10)\/(-4). What is the units digit of 16 - (10 - (g - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2136120 and 11392640.\nAnswer: 34177920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*z = -210 - 59 + 32. What is the closest to -0.4 in -0.5, 63, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/6278382 and -131\/180.\nAnswer: 62783820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 + -51. Suppose -4*p = -5*t + 35, -2*p + n*p - 1 = 3*t. Find the second derivative of -30*c**3 + 25*c**3 + 18*c**t + 9*c wrt c.\nAnswer: 78*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/((2*sqrt(84))\/sqrt(12) + sqrt(7))*-4 + 4.\nAnswer: -4*sqrt(19)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*n + 317*n = -3*m + 46 + 11, -m - 41 = -3*n for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 48\/(-30) + (-1368)\/(-30). Suppose w*f - 38*f - 12 = 0. Let k(z) = -3. Let g(t) = t**2 - 4. Give f*g(r) - 3*k(r).\nAnswer: 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6\/427, 2\/5, 29, 5.\nAnswer: -6\/427, 2\/5, 1, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 + 0\/(-5))*58\/3. Let p = a - -68. Let y = p + -116. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*r - 16*r + 3. Let v = 10 - 3. Let j = v - r. Calculate the remainder when j is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19459826, -19459810, -19459784, -19459748, -19459702, -19459646, -19459580?\n\"Answer: 5*r**2 + r - 19459832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 11:46 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 51 + -ca?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116158 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22111549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2298206 and 81075.\nAnswer: 172365450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from {f: 7, z: 2, p: 1, b: 1, x: 6}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207*q + 217*q = 1780. Calculate the remainder when q is divided by 44.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -529.92 - -529.7. What is the second smallest value in l, 0.2, -6\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1006, -1004, -1000, -994, -986, -976, -964?\nAnswer: -950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3991724.2 minus 26?\nAnswer: -3991750.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/4)\/(-3)*((-7344)\/(-1190))\/(-72)?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 c when four letters picked without replacement from {w: 2, c: 2, i: 2, x: 1, y: 5, p: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/9)\/((-38)\/6). Let i be (-11)\/(-3) + (2 - 6). Which is the biggest value? (a) -0.1 (b) i (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44.3 + 44. Sort c, -1\/4, 2 in ascending order.\nAnswer: c, -1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8677 and 22.795.\nAnswer: 197792.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -160 - -166. Suppose -2*y + k = y. Solve -2*s + 3 = 2*s - l, 4*s + y*l + 6 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mpnppilpmvpln. Give prob of picking 2 m and 2 n.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 250955825 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 13 - u**3 - 2*u**2 + 11*u**2 + 0*u**2. What is the lowest common multiple of 2 and p(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*r + 62*r - 141*r + 34*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 - 6*z**2 + 2*z**2)*(0 - 2*z + 0)*(-59 + 318 + 44).\nAnswer: 606*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164331 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/5*(3 - 28\/8). Which is greater: p or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 144 - 2. Suppose 5*v - 1045 = -0*v. Let g = v - f. List the prime factors of g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55552 - ((-60)\/(-12) + -18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12367.65 plus 2024907?\nAnswer: 2037274.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 9*p = -2. What is the third derivative of 730*j**3 - 364*j**3 + 3 - 366*j**3 - 52*j**4 + 4*j**p wrt j?\nAnswer: -1248*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4545.295 - -4519. Let o = -0.39 + -0.005. Let k = o - y. Round k to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + -31020?\nAnswer: -31100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -40515?\nAnswer: -81030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-14))\/(161\/1127).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4517064 and 14053088.\nAnswer: 126477792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 2*r = -4*z + 38, -2*z = -r - 16. Suppose z*k = 4*k + 174. List the prime factors of k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*s + 3 - 3)*(0*s - 2*s**2 + 0*s) + 9*s**3 + s**3 - 2*s**3)*(-37 - 54 + 31) as x*s + b*s**2 + k + r*s**3 and give r.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000 - -1001001?\nAnswer: -11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9672635 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - (-78)\/(-24)) + 1110\/(-40). Put -4, g, -3, -5 in descending order.\nAnswer: -3, -4, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*d - 132 = -335, 5*r = -4*d + 211. Suppose -j + r = 2*j. Let 2*i + 3*i**2 - i**4 - 13*i**3 + j*i**3 = 0. What is i?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.08\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/170060 and 71\/13300.\nAnswer: 113089900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 9:11 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 4, -2\/5, -0.3, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -264.6 - -67.8. Round w to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h - 624577. Let s(i) = -2*i**2. Give t(s(x)).\nAnswer: 4*x**2 - 624577","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 47*h**2 + 113*h + 3083. Let s be g(-46). Does 2\/1751 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 284*o + 770. Let c(g) = 95*g + 257. Let k(v) = -14*c(v) + 5*l(v). Is k(10) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 + 8*m**2 - 8*m**2 - 2*m + (0 + 2 - 6)*(-2*m + m**2 + 2*m).\nAnswer: -8*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -12. Suppose -2*u + 574 = -x, -g = -2*x - 2*x. Calculate the highest common divisor of 32 and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - 55.33. What is j rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5413, 5427, 5441, 5455?\n\"Answer: 14*z + 5399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 260, 438, 642, 866?\nAnswer: 1104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 + 2*z. Let u(h) = 20 - 5*h**2 - h - 3*h - 19. Let g(d) = 3*c(d) + 2*u(d). Find the second derivative of g(w) wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 343 and 10.\nAnswer: 3430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84358 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 73, 101, 127, 151?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -17, 4, -24, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 873.87 rounded to the nearest ten?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.258 less than 4131.3?\nAnswer: 4131.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1101 - 1447 = 196*l for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 4 + 9*t - 3.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 16*x**2 - 128*x + 5. Let t = -12080 + 12088. Calculate p(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 26*h + 29*h - 14, -h = 2*q - 13 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-9))\/(4160\/11232))\/((-69)\/10)\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.3192 (b) 3 (c) 0.3 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -362, -725, -1088, -1451, -1814, -2177?\nAnswer: -2540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/4 - (-19)\/4. What is the units digit of (o\/4 + -3)*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**5\/5 - 116*v**4\/5 - 26*v**3\/5 + 1484*v**2\/5 + 1392*v\/5 = 0.\nAnswer: -3, -1, 0, 4, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**7\/630 - 413*d**6\/360 + 3151*d**5\/10 - 71415*d**4\/2 - 146004*d**3 - d**2 + 30*d. Factor p(n).\nAnswer: (n - 138)**3*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313*w = 2221195 + 1362029. What are the prime factors of w?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 680576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 7, 2\/7, 2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -16*s + 5. Let j(v) = -8*v + 2. Let x be j(3). Let k be 2\/(-8) - (-136)\/32. Suppose -k*d - 6 = 10. Let o(l) = 3*l - 1. Determine d*m(u) + x*o(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2626*d. Let q(s) = -3*s. Calculate w(q(n)).\nAnswer: -7878*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 7 = -29. What is the smallest common multiple of i and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (473960\/13872)\/(2\/(12\/10)).\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 252 + -244. Suppose 4*b + 9 = 3*c, 0 = -4*c + k*c - 3*b - 12. Let f = 2.6 + -0.6. What is the biggest value in f, c, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -10 + 2. Does 15 divide (-1 - 1)\/(a\/19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2396, 4, -4, -5, 1 in increasing order.\nAnswer: -2396, -5, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 14*q**2 + 12*q - 8. Let b be a(13). Let u be (4 - -1 - b) + -1. Is 2 a factor of (-20)\/u + 124\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 4, 12, 24?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 8. Let g be x(-7). Let k(l) = l + 1 - 4*l + 1 + 2*l. Determine k(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175*1031.\nAnswer: 180425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 205*i + 1278. Determine v(6).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Convert -114242020 (base 5) to base 4.\nAnswer: -2003321210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1088236 and -29\/4080885.\nAnswer: 16323540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -0.001965, 10, 12, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -177*w + 8. Let q be t(-4). Let k be q\/18 - (-2)\/9. Let c = k - 35. Solve 0 = 5*j - 2*n - 3, -c*n - 5 = 5*j + 20 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*39\/6 + 3. Let d be (-4 - -2)*f\/55. Factor d*q**2 + 2\/11*q**3 - 4\/11 - 2\/11*q.\nAnswer: 2*(q - 1)*(q + 1)*(q + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (5 + 0 + 2 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2 = -4*h, -41*h = -5*i - 40*h - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154\/(-33)*27\/378*-48.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*q - 2. Let t(m) = -2*m - 4 + 2*m + 1 + m. Let v be t(q). Solve 0 = r - 4 - v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*m**2 + 129*m - 639*m + 170*m + 222*m.\nAnswer: -46*m**2 - 118*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-2 - -4))\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -54, -65, -88, -129, -194?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16491 or 70?\nAnswer: -16491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422748*n**2 + 845478*n**2 - 422739*n**2.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -836*l*x - 3253*l wrt x?\nAnswer: -836*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000827 to five decimal places.\nAnswer: -0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-651)\/252*3*(-104)\/390*-15?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6510410 - 5?\nAnswer: -6510415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001203 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f - f**5)*(-6 - 6 - 7).\nAnswer: 19*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.008 + 0.508. What is the second biggest value in -10, 0.4, -0.4, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u = -59 + 7. Let a(s) = 8*s + s**3 - 2*s + 9*s**u + 382 - 386. Give a(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 9225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 7*h + 10. Let r be w(-5). Let g = -13 + 25. Let m be g\/(-4) - ((-36)\/(-5))\/(-3). Sort -3, m, -4, r in descending order.\nAnswer: r, m, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 - 1)*(4*n - 5*n + 3*n) to the form x + p*n and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*u = -1, 3*q = q + 4*u + 26. Suppose 9 = -3*o, o - 133 = -k - q*k. Suppose -2*j + k = 6*i - 2*i, -16 = -2*j + 5*i. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 970.1259mg?\nAnswer: 0.0000009701259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5204 divided by 3?\nAnswer: 5204\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1118 - 577?\nAnswer: -1694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 711612.54*-4\nAnswer: -2846450.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttc when three letters picked without replacement from cttccccttcc?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x = 3*a + 70, -495*x + 246*x = -248*x - a + 6 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*m - m - 2*m)*(0 + 1 + 2) + 0*m - 4*m + 3*m)*(-2 + 0 + 1)*(-9*m + 61 - 61)*(37 + 20 + 0).\nAnswer: 1026*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*b - 2*b**3 - 20*b + 2*b - 1314*b**4 + 2*b**2 + 1316*b**4 - 1 in the form o*b**4 + i + k*b + n*b**3 + t*b**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2)**(-50)\/(y**(1\/3))**16*((y*y**(7\/2))\/(y*y\/(((((y*y**(2\/5))\/y)\/y)\/y)\/y)))**(-1) assuming y is positive.\nAnswer: y**(-3157\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**3 - 7*m**2 - 5*m - 4. What is k(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*d = 305*d - 152*d + 807. Solve d*s - 5 = 274*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y - 1404. Let g(h) = -2*h - 1384. What is 2*g(a) - 3*j(a)?\nAnswer: 2*a + 1444","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -258*w**6 - 324*w**2 wrt w?\nAnswer: -30960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124 - 116. Calculate the highest common divisor of g and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, b: 2, m: 1, z: 9, p: 1, n: 3}. Give prob of sequence np.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a - 2. Let i be c(-3). Suppose -4*j = 4*d + 4 + 16, 20 = -i*j. What is the derivative of 4*t + d + t + 3 - 2*t wrt t?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 41 = -11. Let h be (-4)\/q + (-96)\/15. Let d(t) = t. Let k(r) = 7*r. Let g(i) = h*d(i) + k(i). Let c(x) = x**2. Calculate g(c(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + (-4 - 0) + (83 - 76) + -2.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*k**3 + 36*k**2 - 36*k**2)*(-5*k + k + 2*k) + (-13*k**2 + 7*k**2 - 3*k**2)*(-2*k**2 + 2*k**2 + k**2).\nAnswer: -129*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 21910*t - 6446. List the prime factors of f(3).\nAnswer: 2, 14821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 452, 888, 1324?\nAnswer: 1760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-30))\/((-1722)\/(-34440))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24204 - 24190. What is the highest common factor of 5530 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3 - 662. Put -4, q, 1, 0.5 in descending order.\nAnswer: q, 1, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/769506 and 2\/741.\nAnswer: 190067982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**3\/19 - 30404*y**2\/19 - 30406*y\/19 = 0.\nAnswer: -1, 0, 15203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -3*j**3\/2 + 3*j**2 - 25*j. Let v(t) = t - 1. Determine -a(f) - 6*v(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 7:24 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15241 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32\/7 + 85\/14. Let i be (-5)\/(5\/(-2)) - 10. Let q = i - -10. Which is smaller: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -408, -361, -282, -171?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*r = 5, -4 = -2*u - r - 5. Solve 3*z = 3*o + 6, -2*o - 10 + u = -3*z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -635, -2159, -5125, -10013, -17303, -27475?\nAnswer: -41009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8525.29 - 8435. Let k = z - 91. Let g = k + 0.21. Which is the third biggest value? (a) g (b) -5 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10753 (base 8) to base 4\nAnswer: 1013223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -13) + -4 - (2 + -2 - -16)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3, 5*g + 1687 = 5*m + 2*g. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3100 (base 4) to base 11.\nAnswer: -17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(363)*-1 + 5 + -1 + sqrt(3) + 5 + -3)**2.\nAnswer: -516*sqrt(3) + 5583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -69*u + 166. Let m be k(2). Solve 35*h + 14 = m*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4400 (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-26)\/8)\/(11\/(-44)). Differentiate m*b + 6 + 0 - 9*b with respect to b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n - 1. Let j(p) = -p**2 + 6*p - 4. Let r be j(6). Let k(t) = -3*t - 2. Give r*i(y) + 3*k(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81780 is divided by 117?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 150*o**4 - 2*o - 303*o**4 + 130*o**4 - o**3 to b*o**3 + k*o**2 + u + t*o**4 + c*o and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 703620306 divided by 78180034?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33130912 to the power of 1\/2, to the nearest integer?\nAnswer: 5756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 9 - 29. Let s = d - 11. Let b(g) = -g**2 - 7*g - 3. What is the units digit of b(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/(65\/(-40))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 13*y - 11. Let u be a(1). Let o = -16 + 15. Let p be (-4 - 3)*(-2 - o). Solve u = -w + p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 20 (c) 2 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 i, and 1 y when three letters picked without replacement from ibyro.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156 + 79 - -57)*4\/(-90)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001016623968 rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 5*c + 3. Let l be j(5). Suppose 179 = 4*f + 67. What is the remainder when f is divided by (-1)\/l + 186\/18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -47, -75, -105, -137?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 235, 3, -4 in increasing order.\nAnswer: -4, 3, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/6*2367\/(-1). Let q = 1135 + w. What is the common denominator of q and 2\/(-13) + (-440)\/(-832)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 153*a**3 - 5*a**2 wrt a.\nAnswer: 918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 20. Let h be ((-15)\/(-45))\/(-1*j). Is h at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12839854 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84323 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/6)\/(112\/252)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.843 + -19.28039. Round g to two decimal places.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c + 2. Suppose 0 = 4*r - 3*r - 2. Let z be (-1)\/r + 38\/(-4). Let m be z\/(-4) - (-3)\/2. Let s(x) = x + 1. Give m*s(n) - 3*o(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-264)\/(-4) + (-1)\/1.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + 29. Let o be (-9 - m)*(2 - 2). Suppose 2*s = -3*f + 530, -4*s + o*f - 4*f = -1052. List the prime factors of s.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492305445 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 + 612521621.4?\nAnswer: 612521621.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43)\/((-11825)\/55)*((-45)\/(-4))\/((-35)\/140).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-1 - 3\/(-5)). Let q = 704 + -702. Let u be (0 + (-4)\/2)\/(-1). Solve -27 = -q*s - s + l*a, s - u*a - 10 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*3)**2*-6 - sqrt(720).\nAnswer: -38880 - 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/2))**5*(o*o\/(o\/(o**(-4)*o)))**(-43) assuming o is positive.\nAnswer: o**(187\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 6*b. Let r = -3 - -5. Let k(a) = 3 - 5*a - a**r + 6*a + 2. Give k(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = j - 3. Suppose 0 = c + h - j, -3*c = -0*c + 5*h - 20. Let i(o) = o**2 - 10*o + 18. What is the remainder when i(10) is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 18*t**2 + 13\/30*t**5 + 34*t + 0 - 1\/12*t**4 - 1\/6*t**3. Let q(o) be the first derivative of n(o). Determine q(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1396232?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.7 * -266.837.\nAnswer: -453.6229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157910?\nAnswer: 2, 5, 15791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k**4*l - 179*k*l + l + 378 wrt k?\nAnswer: -4*k**3*l - 179*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 625 and 5?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**2 - k. Let d(v) be the third derivative of -v**5\/3 + v**4\/8 + v**2 + 4. Let g(y) = y**2 + 5*y. Let t be g(-6). Calculate t*d(c) + 17*r(c).\nAnswer: -c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 2.88.\nAnswer: 23.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 69*f**2 + 677*f + 1013. What is d(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8282*n. Let v(h) = -79*h**2. What is v(y(t))?\nAnswer: -5418730396*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -849*x**4\/4 - 1517*x - 1442. What is the first derivative of q(h) wrt h?\nAnswer: -2547*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 157*l + 858 = 169*l, 0 = 2*l - 144 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 233916 and 20.\nAnswer: 1169580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 103*q**2 + 1. Let c be d(1). Let y be (-4)\/18 - c\/18. What are the prime factors of (-32)\/y - (-1)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = z - 0*z. Calculate the highest common divisor of z and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k - 4*k - 3*k - k**2 + 2*k - 4*k. Suppose -g - 3*j - 7 = -4, 4*g + 3*j + 21 = 0. What is v(g)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -81 - -11?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20003 - 2321?\nAnswer: -22330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**2 + 26*q - 43. Calculate j(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 3*x - 105, 7*j - 108 = 3*j - 4*x. Calculate the remainder when 162 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 42*l**2 + 1 + 3 - 3 + 5*l**2 + (-4*l + 3*l + 0*l)*(-2*l + l - 2*l).\nAnswer: 50*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5731*d*o*q**3 + d*o*q**2 + d*o - o*q**3 - 2176*o*q - 12*o wrt q.\nAnswer: -34386*d*o*q + 2*d*o - 6*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -115\nAnswer: -1\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 17 (b) -3 (c) 2\/7 (d) 7 (e) 0.1 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20452109 divided by -20452109.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -59 and 0.19804.\nAnswer: -58.80196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 1734.\nAnswer: 1730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110121102200 - 0?\nAnswer: 110121102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36307248 to the power of 1\/3, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1921 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/60 - 17\/51.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 12:34 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22*4104\/(-3135)*(-10)\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 258293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t + 2193 - 1043 + 3*t - 1088.\nAnswer: 11*t + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -70*p - 1190. Let y be r(-17). Solve w + 5*b + 13 = b, 3*w + 2*b - 1 = y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -10.08 (c) 4\/31 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**3 + 3*a**3 + 2*a**3 + (-3*a**2 + a**2 + 4*a**2)*(-2*a + 4*a - 3*a) + (2*a + 0*a + 0*a)*(-4*a + 3*a - a)*(6*a - 10 + 10) - 2*a**3 - 2*a + 2*a.\nAnswer: -27*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -361320?\nAnswer: -361320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 152\/7 - 3510\/161. What is the third biggest value in -0.1, c, -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1679\/(-161) + 7)\/((-6)\/448). Sort 0.1, w, -4, -1 in decreasing order.\nAnswer: w, 0.1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10986 + -6078. Suppose 0 = -5*m + 3*p - t, 4*m - 2*p + 7*p + 3956 = 0. Let i = m + 1393. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 243*t + 816. Calculate the remainder when 731 is divided by s(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119371?\nAnswer: 7, 17053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -35*20\/6*294\/1225\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8646 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: Factor 5*x**2\/4 - 285*x\/2 + 565\/4.\nAnswer: 5*(x - 113)*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 - 4*o + 7. Determine r(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**4\/2 + 8*v**3\/3 - 4*v**2 + 4*v - 6441. Calculate h(4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 56, 9608?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is -46693 (base 10) in base 14?\nAnswer: -13033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4188.\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 8 - (-8 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 6*i**2 + 8*i. Let g be o(7). Suppose 3*s - 37 = -g. What is the greatest common factor of s and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16222405*j*p**5 + 67347*j*p + 36*p wrt p?\nAnswer: 324448100*j*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 + q**2 - 155*q**3 + 8*q**3 + 141*q**3 to t*q + v + n*q**2 + c*q**3 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*y = -5. Which is the second biggest value? (a) -0.5 (b) -2\/15 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/16240900 and -67\/260.\nAnswer: 16240900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 4*p - 10. Let c be h(-6). Suppose -2*j = 4*x + 2, -14 = -c*j + 3*x + x. Calculate the greatest common divisor of j and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-45)\/2*(-208)\/3744. Let u = 45 + -48.7. Let f = -0.3 + u. Which is the second smallest value? (a) -0.2 (b) j (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbxb when four letters picked without replacement from bbxbbxxxbx.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4106884637.\nAnswer: 19, 5333, 40531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 44\/48 - 5\/20. Suppose 0 = -5*y + 10, 5*x + 3*y = 1 - 0. Let b be 1 - (-1 + x - -6). What is the nearest to k in b, 2\/13, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q - 9. Let t(r) = -585*r**2 + 35*r + 35. Let d(o) = -16*o**2 + o + 1. Let n(k) = -70*d(k) + 2*t(k). Give s(n(c)).\nAnswer: -100*c**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(152)*-1)\/(1*sqrt(968) - sqrt(8)).\nAnswer: sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -319 - -33.2656291\nAnswer: -285.7343709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -627255, -5017963, -16935599, -40143627, -78405511, -135484715, -215144703?\nAnswer: -321148939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5204.298l?\nAnswer: 5204298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -13370433.76 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10))**49 assuming t is positive.\nAnswer: t**(-490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 185 divided by -37\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**4 - s - 1. Let m(g) = -79*g**4 - 16*g**2 + 2*g + 2. Let j(a) = -m(a) - 2*p(a). Find the third derivative of j(u) wrt u.\nAnswer: 1992*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + -1)**2 - -6*sqrt(12)\/sqrt(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1388 - -49981\/36. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i. Let m be n(1). Suppose m + 11 = 2*k. Solve 2*s = -0 + k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -25a0 + -13?\nAnswer: -25b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + 7\/(-3))*3. Let j = 79 - 75. What is the closest to -2\/9 in f, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-two fifths of a meter?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2552867, -5105714, -7658549, -10211366, -12764159, -15316922, -17869649?\n\"Answer: c**3 - 2552854*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*o + a + 2*a, 3*o - 5*a = 0. Let x(g) = 3*g**2 + 5*g + 5. Let f(k) = k**2 + k + 1. Let v(w) = o*f(w) - x(w). Let u(p) = 37*p. What is v(u(r))?\nAnswer: 2738*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 + 45 = 3*b, -2*d - 76 = -8*b - b + 7*b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-6))\/(-7)*35\/(-4900)*-35?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**3 + 27*y**2 + 24*y = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (2 - -3) - (-42 - -58)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**3 - i**2 + 3*i + 1. Let u be 26\/(((-25)\/(-15))\/(5\/6)). Suppose -3*j - 9 = -o, 0*j - 5*o = j - u. Give z(j).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84*k**3*u**3 + 2*k**3*u*v**2 + 2*k**3*v + 32*k**2*u**3*v**2 + 2*k**2*u**3*v - 2*k*u**3*v**2 wrt k?\nAnswer: -504*u**3 + 12*u*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 438581 and -0.4.\nAnswer: -175432.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 19. Let u be ((-8)\/w)\/((-1)\/(-4)). Let y(q) = 2*q**3 + q**2 - 3*q - 3. What is y(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (627\/(-495))\/19*(48\/22)\/(-8)?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/43, -2\/3, -3, -409, -15, 3\/5 in increasing order.\nAnswer: -409, -15, -3, -2\/3, 2\/43, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqjulggl. Give prob of sequence gl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95222 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1127094.6899915 + -1127095. Let y = w + 0.31. Round y to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101470 is divided by 50021?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b + 16*b = -2*l, 0 = -4*l + 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 2*w + 6, 1174*w - 1179*w = -7*v + 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 249287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110000000100101 (base 2) to base 6.\nAnswer: -305541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -437.259 - -437. Let k = 0.241 - y. Which is the second biggest value? (a) k (b) 1 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -23. Let b = -3.27 + -0.33. Let l = b + 4. Put l, 3, w in descending order.\nAnswer: 3, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**4\/2 + 7*m**3 - 15*m**2\/2 - 24*m - 39. Let c be z(-11). Suppose 0 = -c*t + 17*t + 12. Solve -t*g = 11 - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(5 - (0 - -4)). Let o(j) = 2*j**2 - j - 23. Does 24 divide o(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30046.\nAnswer: 2, 83, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 2*r + 0*r)*(-4212 - 4920 + 7157).\nAnswer: 3950*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 3*z - 4*f + 2926, -f - 1 = 0. Is 40\/50*z\/(-8)*-5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 3*a = 20, 850*a - 15 = 853*a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120076 is divided by 864.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 150\/120*-1*2*17*(-168)\/(-33915).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (48\/(-80))\/((-3)\/15). Put -0.4, -72, j in descending order.\nAnswer: j, -0.4, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2519042?\nAnswer: 2, 827, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4ae (base 16) in base 2?\nAnswer: -10010101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43774 + 13174 = 450*a for a.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 304?\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 3. Let d(f) be the second derivative of -11*f**3\/6 + f + 285. Calculate d(r(u)).\nAnswer: 11*u - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 68 = -c, -56 = -3*g - 4*c + 2*c. Suppose 5*i + g = 126. Let p = 15 + -7. Calculate the remainder when i is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 607940.4 months?\nAnswer: 50661.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 234375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (6 + 0 - 5) + -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*j**3*x**2 - 2*j**3*x + 641689*j**3 + 6*j**2*x**2 - 46*j*x**2 - 8*x**2 wrt x.\nAnswer: 36*j**3 + 12*j**2 - 92*j - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*q = -371, p + 6*q - 2*q = 133. Calculate the greatest common factor of p and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 15*m**4 + 64*m**3\/3 + 8*m**2 - 9. Determine q, given that b(q) = 0.\nAnswer: -2\/3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + 1)*6)**2 + 2 - (sqrt(68)\/sqrt(4)*4 + (sqrt(17) - ((sqrt(612) + 2 + sqrt(612))**2 - sqrt(612)))).\nAnswer: 613*sqrt(17) + 41658","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -404 - -693. What is the greatest common divisor of h and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14423105 (base 6) to base 11.\nAnswer: 312405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 0.1, -2\/3, -0.1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -269.\nAnswer: 19\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 3 = 23 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (245 - 245 + 32*g)*(1 + 0 + 0) as p + x*g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (433*i - 488 + 430*i + 430*i - 1282*i)*(i + 2*i + 2*i - 2 + 2 + 2*i + (0*i + i - 2*i)*(-2 - 1 + 1) + 2*i - 1 + 1) as a + g*i**2 + y*i and give g.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a second in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -18*w + 248. Give n(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -248 (b) -12 (c) -1\/6 (d) 25 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a hour in milliseconds?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15713 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 2:46 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -207301199.7 - -4.\nAnswer: -207301195.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1157*w + 573*w + 579*w + 1. Calculate m(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1388 and 632962353?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27\/6 - ((-15)\/6)\/(-5). Let j = 0.8 + -0.6. Let z = -0.5 + j. Which is the closest to 0? (a) g (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.889 plus 0?\nAnswer: 23.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = -10*r + 4994. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5\/k**(-5))\/(((k\/(k*k\/k**0))\/k)\/k)**(2\/31)*((k**2\/k)\/k)**(3\/5)\/(k\/(k*k**(2\/5)))**(3\/14) assuming k is positive.\nAnswer: k**(11153\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -14*d - 138. Let y = 22813 + -22825. Calculate r(y).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2 - 10*i - 5. Let p(f) = 6*f**2 - 16*f - 8. Let z(a) = 8*j(a) - 5*p(a). Let b(t) = 88*t**2. Give z(b(n)).\nAnswer: 15488*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 533 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 68.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 24 - 86 = 0. Calculate the remainder when 60 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*m + 16. Let g(q) = 3*q + m + 3*q + q. Calculate the remainder when 106 is divided by g(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6\/29 - -11\/87. Let n(o) = -1. Let v(y) = -y - 12. Let u(t) = 5*n(t) - v(t). Let l be u(-8). Which is the third smallest value? (a) 2\/7 (b) s (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 2650306?\nAnswer: 2650312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803268692 to the power of 1\/3, to the nearest integer?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*d*j*v + 67*d*j + 2*d + 28*v**2 with respect to v.\nAnswer: -16*d*j + 56*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.154? (a) 0.13 (b) -13 (c) 578\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 9584*a + 20 = -9574*a, -3*a + a = -5*v - 33 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 9)*(-2*s + 0*s - s) to the form h*s + z and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 3*j + 9. What is m(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 23037318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106331 is divided by 206.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55797285 divided by 11159457.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 46\/14 + (-2)\/7. Let z be (0\/(-2))\/2 + 0. Let l(j) = -1 - j + 4 + 2*j**2 + z*j - 2*j. What is l(p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**8\/336 + 13*s**6\/120 - 4*s**5\/15 - s**4\/2 + 8*s**3\/3 + 1010*s**2. Solve j(c) = 0.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2)*7)\/((-47)\/2632*28).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 4 (b) 79 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 1. Let u be q(3). Suppose 0 = -u*c - 45 - 15. Let v = -2 - c. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 4:20 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + 0 + 3\/3. Suppose -35 = x*p - 233. Which is smaller: p or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34920)\/(-648) - 32\/36?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2202*m - 114530. What is k(52)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-224)\/(-36) - 2\/9. Suppose 5*y - 19 - p = 0. Suppose -y*h - 2 = a, 0*a = -3*a + 3*h + 84. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100238251 is divided by 97.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -4787?\nAnswer: -1436.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 332*n**2 - 24*n + 11. Let a(v) = -v**3 + 498*v**2 - 36*v + 13. Let f(g) = -5*a(g) + 7*s(g). What is the second derivative of f(o) wrt o?\nAnswer: -12*o - 332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1664 and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = w - 4284, -5*o = -0*o + w + 10710. Suppose 0*j = -j + 1, 3*j + 12 = 3*m. Calculate the remainder when o\/(-45) - (-2)\/m is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 15, -2*b + m = 3*m - 10. Let h = 2 - b. Let f(p) = -p**3 - 3*p**2 + 22*p - 10. Let j be f(3). Solve -2*d - 3*d = 5, 0 = -c + h*d + j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3025328232 to the power of 1\/3, to the nearest integer?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*w**3 - 591303*w**2 - 277*w + 564256086.\nAnswer: -6*w**2 - 1182606*w - 277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -137, -124, -105, -80?\n\"Answer: 3*c**2 + 4*c - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h - 284. Suppose -2*k + 200 = 5*i - k, -5*i + 5*k + 230 = 0. Let m be z(i). Solve -31 = -7*v - m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 + 71*f\/2 + 72.\nAnswer: -(f - 144)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -4, 2\/5, 0.1, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 i, and 1 m when three letters picked without replacement from {p: 1, i: 1, j: 4, n: 3, m: 4, h: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/39 + 10\/13. Which is the closest to 2\/3? (a) 1\/4 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d - 2*d - 6*d)*(0*d + 2*d + 0*d) + 0*d**2 - 5*d**2 + 0*d**2 in the form f + x*d**2 + w*d and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 379360 + 848970. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122, -19, 3, -8, 0, 2, 15 in increasing order.\nAnswer: -19, -8, 0, 2, 3, 15, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16375 - 114581\/7. Factor 8*g**2 + 8\/7 + 16\/7*g**4 - n*g**3 - 2\/7*g**5 - 34\/7*g.\nAnswer: -2*(g - 4)*(g - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*h - 1122, 2*h + 40 = 4*c - 416. Let b = -5363 + 85741\/16. What is the common denominator of -4 + h\/108 - (-2)\/9 and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.8 + -18. Let i = 7.5 + a. What is the second smallest value in -3\/7, 2\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 94 and 0.006.\nAnswer: 0.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 1238*n = -1241*n + 148, -6*z + 2*n + 200 = 0 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273 a factor of 11409899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/9))**39*y**(-39)*y**(-42\/5) assuming y is positive.\nAnswer: y**(-581\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81596 - -244934\/3. Determine p so that 2\/3*p**2 - d + 48*p = 0.\nAnswer: -73, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83003 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: Two letters picked without replacement from igrrmmirrgym. Give prob of picking 2 i.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/1*(-2)\/4. Suppose -25 = -v + y*c + 20, 85 = 5*v + 3*c. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -0.3, -1\/2, 1.\nAnswer: -1.1, -1\/2, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.002 + 2.998. Let c = -58 + 57. What is the closest to n in 1, c, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ejlecjjlcspjj?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 14 = -4. Suppose v*w - 3*c - 143 = 66, w = -4*c + 99. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 10}. Give prob of picking 2 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 18 = 4. List the prime factors of -4 + o + 3 - -57.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01377319248 rounded to 4 dps?\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12630 is divided by 313.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3823713508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9598.933 millilitres?\nAnswer: 9.598933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/274307? (a) 0 (b) -1 (c) 0.1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*s + 14 = 0, 2*s + 18 = 5*j + 8. Suppose 32*p - 31*p = 149. Suppose 103 = 18*c - p. Put c, 0, j in decreasing order.\nAnswer: c, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/8*n**2 - 1\/8*n**4 - 5\/8*n**3 - 7\/8*n - 1\/4.\nAnswer: -(n + 1)**3*(n + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 8*i + 3. Let v be b(5). Calculate the remainder when v + 0 + (-12)\/(-4) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 6:09 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 15*y + 12. Let s be o(-6). Let t be s\/30 + 4\/10. Solve 26 = t*u + 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*c**2 - 17*c + 16*c - 4 + 19*c**2 - 44*c + 2.\nAnswer: -98*c**2 - 45*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**2 + 61*h**2 + 39*h**2.\nAnswer: 107*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2142292 - -2142291.95199578. Let m = 0.048 + v. What is m rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3477 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 751.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23000169?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4 = -4*r - 2, -2*r = 0. Let i be (a\/(-3))\/(4\/30). Suppose 3*t - 29 = t + i*d, -2*t + 24 = -4*d. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/336, -2\/9, 1\/4, -1.2, 1, -3 in decreasing order.\nAnswer: 1, 1\/4, 1\/336, -2\/9, -1.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2 - 0. Let b(o) = -19*o. Does 13 divide b(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 89*q**2 - 154*q + 307. What is the tens digit of n(87)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/17 (b) -0.1 (c) 11.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 13*s + 16 = -9*s, -s + 39 = 3*b. What is the highest common factor of b and 3934?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4767284 is divided by 397251.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2432) - (sqrt(2432) - (sqrt(2432) + 1*2*sqrt(2432)))))\/(-2*(sqrt(2) + sqrt(72)) - (sqrt(162) - (sqrt(162)*5 - sqrt(162)))).\nAnswer: 24*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*h + 542 - 542 as g*h + z and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225) + (sqrt(225)*5 - sqrt(225)))\/(sqrt(3) - sqrt(12)*-4) + -5.\nAnswer: -5 + 25*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 23*y - 5*y - 14*y + 13 - 10*y + y**2. Let s be h(2). Let l(r) = r**3 + 9*r**2 - 9*r + 14. Let k be l(-10). Sort -5, s, k in descending order.\nAnswer: s, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 7*f**2 - 6*f - 5. Let p(v) = 4*v**3 - 20*v**2 - 17*v - 16. Let i(d) = -7*k(d) + 2*p(d). Is i(-8) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2\/3 - 8192*q\/3 - 8388608\/3 = 0 for q.\nAnswer: -2048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 0*x**2 + 4*x**2 + x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*b - 1834 - 1686. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56866812467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (36\/90)\/((12\/(-70))\/((-69)\/3864))\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 150 or -439\/285?\nAnswer: -439\/285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b. Let v(k) = 209*k**2 - 44. Let o(s) = -14*s**2 + 3. Let p(x) = 44*o(x) + 3*v(x). Determine p(j(y)).\nAnswer: 176*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*f**2 - 292*f + 570*f - 278*f.\nAnswer: -64*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/156624 and -16\/15.\nAnswer: 783120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a second in milliseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 125.15, -0.3, -1, 1\/9?\nAnswer: 125.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -4\/3 (c) -9 (d) 1\/8 (e) 79.6 (f) 287 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 0 + 0)*(t + 2*t + 0*t)*(-33*t**2 - 9*t**2 + 78*t**2).\nAnswer: 108*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -974 + 979. Solve -y - 5*j - 1 = -4*j, -17 = -y + h*j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-60)\/(-10) + (-4)\/1. Suppose 5*m - 25 = 2*l, -10 = -x*m + l - 4*l. Let j = -1638 + 1663. Solve -i = 5*o - j, 0*i = -4*o - m*i + 41 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 20, 25\/3, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1299289, 2598568, 3897847, 5197126, 6496405?\nAnswer: 7795684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 55 = 5. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122002 - -10?\nAnswer: -121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32189, 32188, 32187?\nAnswer: 32186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -6) + (3 + -7 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-5740))\/((((-52)\/14)\/(-13))\/(-2))?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -611507, -1223000, -1834479, -2445950, -3057419, -3668892, -4280375, -4891874?\n\"Answer: -q**3 + 13*q**2 - 611525*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 203007 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 - 7*p**3 + 42 + 48.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**5\/270 - 167*f**4\/27 - 111556*f**3\/27 + 547*f**2. Factor v(d).\nAnswer: -2*(d + 334)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 + 94. Let s = -165 + 167. Solve y*j = s*j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 9:01 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k - 24 = -72 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l - 15. What is p(-11)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14*(3 - 0))\/(-2). Let j = x - 25. What is the third biggest value in 0.1, 1\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -39aa?\nAnswer: -3a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 1212.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*2\/(-4) + 5\/1. Let -11*b**l + 0*b**3 - 5*b**3 + 9*b**4 - 4*b**2 - b**3 = 0. Calculate b.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164351857.\nAnswer: 164351857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1315, -919, 189, 2375, 6005, 11445, 19061?\nAnswer: 29219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1463, -2406, -3347, -4286?\nAnswer: -5223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-36)\/(-8))*(-12)\/(-100)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 19) + -39 + 50.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -5*w - 4. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3751700017 and -6217.\nAnswer: 3751693800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from dndddnannan.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 31*d - 48. Let k be l(-29). Suppose k*p + 1690 = 15*p. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*p = 5*y + 400*p - 70, -2*y + 3*p - 67 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 greater than or equal to -368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence menv when four letters picked without replacement from rnnnmrevnmnnnearn.\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 17.89*-9549\nAnswer: -170831.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26699 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 4*r - 33. Calculate the smallest common multiple of s(-6) and 36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.13 and -5.6?\nAnswer: 6.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j**2 + 70*j**2 - 40*j**2.\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -369, -1260, -2997, -5862, -10137, -16104, -24045?\nAnswer: -34242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 897.1016 decades to years.\nAnswer: 8971.016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -7. Let z be (-2)\/m - 4\/(-10). Let y(g) = g + z + g**2 + 0 + 6. Calculate y(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14540 and 2908?\nAnswer: 14540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 7:21 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14622*s - 14589*s - 594 = 0. Let m = 162 - -72. Calculate the highest common divisor of m and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvz when three letters picked without replacement from {u: 1, h: 1, i: 1, v: 1, z: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 5*u + f - 3*f, -u = -5*f - 21. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 6*a**2 - 5*a + 7. Suppose -p - 14 = -0*p. Let i = 9 + p. What is the units digit of x(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99 + 63*f**2 - 108 + 207 to the form z*f**2 + h*f + o and give z.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59395862047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 2\/23 (c) 2\/25 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85211?\nAnswer: 7, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.101 and -4312.6.\nAnswer: -4312.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1074231 (base 8) to base 2.\nAnswer: 1000111100010011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*x - 16*x + 2400. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 + 444*c**3 + 880*c**2 - 1776*c - 3536.\nAnswer: (c - 2)*(c + 2)**2*(c + 442)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 67050 to the nearest 1000.\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6476 (base 13) in base 3?\nAnswer: -201010212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1)*q)\/q*q\/((q**(-5\/14)\/q)\/q) assuming q is positive.\nAnswer: q**(47\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 i when three letters picked without replacement from ietiooooootojt.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.048 + -2.952. Let j = -4.91 - 0.09. Put -1\/3, w, j in descending order.\nAnswer: -1\/3, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 1:12 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 + -860\/13. Let h = 7 + -6.6. Let y = 0.9 - h. Which is the second biggest value? (a) y (b) x (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1874644 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 13\/5 of a millennium?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**8\/672 + q**7\/210 + q**6\/80 - q**5\/30 - q**4\/12 - 25*q**2. Factor t(r).\nAnswer: -r*(r - 2)**2*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwwzzzlezzwe. Give prob of sequence wzzz.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12254, -4, -25.\nAnswer: -25, -5, -4, 12254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*(0 + sqrt(288) + 2))**2 - (1 + sqrt(6)\/sqrt(3) + -5 + sqrt(200) + 0)**2).\nAnswer: 170 + 680*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12 + -11)\/(2\/14). Suppose -8*k + t*k = 605. Let y = k - -1336. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -89 in 0, -349, 1\/114?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 567318136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/((-324)\/(-402)))\/((-49)\/(-41454)*94)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 64 - 184 + 65 - k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 2*w - 2 - 2*w**2 + 2\/3*w**3. What are the prime factors of l(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1818, 3641, 5464?\nAnswer: 7287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 160 - 35. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -38 + 9\/(-12) + (-57)\/(-12). Which is greater: d or -35?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(3) + sqrt(3)*4) + -2 - (sqrt(6) - (sqrt(150) + sqrt(150)*2))\/sqrt(2).\nAnswer: -2 + 71*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2253 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4 = -3*q. Suppose q = -2*u - 0*f + 2*f, 0 = -2*u + 5*f - 5. Sort u, 7, -3.\nAnswer: -3, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*14*(-30)\/35.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 18. Let i = -0.23 - 2.17. Let h = i + r. Which is the smallest value? (a) h (b) 0 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378052 is divided by 125964?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqknnbkkkkkknqkkbmbk. What is prob of sequence qnn?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35 and 0.7549.\nAnswer: -26.4215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 13*a**2 - a + 2. Let b be l(2). Is (b\/39)\/((-2)\/(-21)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -20*x**2 + 14*x - 14. Let l(u) = 7*u**2 - 5*u + 5. Let g(m) = -14*l(m) - 5*v(m). Let t(r) = -9*r**2 + r**2 + 2*r**2. Give g(t(z)).\nAnswer: 72*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**2\/2 + 4338*k + 26082 = 0.\nAnswer: -6, 2898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/3, -34, 0.3, 2 in ascending order.\nAnswer: -34, -4, 0.3, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 59952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -295632.9 rounded to the nearest 100?\nAnswer: -295600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8242144cm in meters?\nAnswer: 0.008242144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 993748000 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -143 + -2?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (685*l - 685*l + 2*l**2 + 32)*((3 - 2 + 1)*(-2*l**2 - l**2 + 4*l**2) - 3*l**2 + l**2 - l**2).\nAnswer: -2*l**4 - 32*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 31*x**2. Let b(g) = -4134*g - 538. Determine b(m(v)).\nAnswer: -128154*v**2 - 538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -40*k**2 + 24*k + 24. Let u(w) = w**2 - w - 1. Give -2*g(h) - 48*u(h).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -3 - (-2 - 0). Is 12 a factor of 12\/1*(2 - y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 316 and 1672.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1423*a - 54575 = 54996 for a.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 49838304 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/25620 and -93\/17080?\nAnswer: 51240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + i - 4*n = -67, 26 = 2*i + 2*n. Calculate the remainder when (104\/6 - 0)\/(38 + (-2164)\/57) is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -11*c + 3 - 3 + 2 + 12*c. Let w(q) = -q**2 + q + 1. Let z(n) = 6*p(n) - 6*w(n). What is the first derivative of z(h) wrt h?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4446325, -8892650, -13338975, -17785300, -22231625?\n\"Answer: -4446325*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.66 times -0.04?\nAnswer: 0.0264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5135107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-54)\/(-2)*1 - -2. Suppose 0 = 4*w + d - 5. Let i be 3\/(3 + w)*0. Put i, 3, -5 in ascending order.\nAnswer: -5, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008391 rounded to 7 decimal places?\nAnswer: -0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 2*k - 45. What is the units digit of r(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -8*j**3 + 9*j**2 + 7*j - 4. Let w(c) = -7*c**3 + 8*c**2 + 6*c - 3. Suppose 17 = -13*v + 10*v - 4*o, o + 27 = -4*v. Give v*w(p) + 6*k(p).\nAnswer: p**3 - 2*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6 - 7 + 3. Let r(p) = -p**2 - p - 5. Let n = -13 - -19. Calculate n*f(h) + 2*r(h).\nAnswer: -2*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 2*z + 4 = p, -4*p - 8 = -4*z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h = -8*h + 198 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-28)\/(z**(-32)*z))**8 assuming z is positive.\nAnswer: z**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 4*y + 1. Let k be 40\/16 + 2\/(-4). Calculate the lowest common multiple of 10\/(-6)*(-6)\/k and s(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80122 is divided by 80110?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -9a71?\nAnswer: -9a76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 470428 and 5516?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*b = 62, 8*l + b - 234 = 3*l. Let w = -53 + l. Is w less than -15\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j + 2*j - 9 - 6. Let c be p(-15). Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1799 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -307700 divided by -76925?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 510, 721, 946, 1191, 1462, 1765, 2106, 2491?\nAnswer: 2926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57534 divided by -6?\nAnswer: -9589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -521, -518, -477, -380, -209, 54, 427?\nAnswer: 928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 878.44311 seconds in hours?\nAnswer: 0.244011975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 12 - 2. Suppose 2*d + 10 = -4*n, 2*d - 2*n = -0*d + l. Solve -h - d*h = -4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0.1, 69.391 in increasing order.\nAnswer: -15, 0.1, 69.391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 796\/10 - (-8)\/20. Suppose v = 7*v. Suppose -3*i = 5*c - 76, 4*i = -v*i - 4*c + 112. Calculate the greatest common divisor of t and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 - 13 = -3*f, -b = 2*f - 8. Solve -3*y - v = -b, 5*v - 26 = -y - 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -6 - 30. Let a(y) = -7*y + 14. Let l(x) = 8*x - 14. Let j(f) = 3*a(f) + 2*l(f). Calculate the remainder when j(-4) is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (9 - (6 + -6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*h*k*y - 2*h*k + 11*h + k*y - 32*k - 26*y with respect to y.\nAnswer: -15*h*k + k - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -438 - -436. Let i be (-1 - r)\/((-5)\/(10*-1)). Factor -1\/5*m + 0 + 1\/5*m**i.\nAnswer: m*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**3 - 3*l**2 + 6*l + 2. Suppose 1 = -4*c - h, -4*c - h = 3*h + 16. Let v(q) = q**3 - q**2 + q. Let j(n) = c*m(n) - 5*v(n). Determine j(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 - 3*o**3 + o - 17*o**3 - 165.\nAnswer: -23*o**3 + o - 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (72 - 41) + -10 - -48?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/254 - -62\/127. What is the closest to 2\/3 in -2, -13, 0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -27*n**2 - 37*n. Let w(r) = -2827*r + 3. What is w(v(j))?\nAnswer: 76329*j**2 + 104599*j + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22458 - 2*r - 22458 + 6*r - 7*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 993.4501 litres?\nAnswer: 993450.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(1 - 7 + 0)*(-p**2 - 1 + 1).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2640.2 - 2640. Which is bigger: 374 or m?\nAnswer: 374","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -959 = -18*j + 355. Suppose 42*t - 95 = j. Let 0*y + 0 - 2\/7*y**2 - 2\/7*y**t - 4\/7*y**3 = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*u - 229 = -39*u. List the prime factors of u.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0\/(-2) + 122\/(-8) and (-68)\/(-14)*9\/(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 1462*x**2 - 3*x + 4. Let p be k(1). Let j = p + -616. List the prime factors of j.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u - 7. Let l(w) = w + 6. What is the remainder when 50 is divided by l(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 - 22*v**3 + 177*v**2 - 616*v + 784.\nAnswer: (v - 7)**2*(v - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -333 - 130. Is (o\/6)\/(1\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 + 5*t - 5*t**3 + 1 + 5*t - 9*t - 3 to z + i*t + n*t**2 + v*t**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 528 + 567 - 1096 - 719*k as l*k + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125 and 806625?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -107, 209, 20?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-343)\/(-14)*(-36)\/(-21).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/23)\/((b**(-3\/11)\/b)\/b))\/(b**(-4\/15)*b**22) assuming b is positive.\nAnswer: b**(-73523\/3795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3784)\/76*(-22)\/(-4). Let y = -274 - o. Let u be ((-15)\/8)\/(78\/(-52)). Which is the third biggest value? (a) y (b) u (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-5 + (-30)\/25*-4). Suppose 2*x + n*x = 6349. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -3*y - 11*s + 6*s, 0 = -3*y + 4*s - 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.6 - 14.7. Round r to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103223 (base 4) to base 2\nAnswer: -10011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 62*n - 42*n. Suppose w - 4*w + 12 = 0. Suppose -n*q - w = -7*q. Solve 12 = -q*f + 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 9543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20222616 to the nearest integer?\nAnswer: 4497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95 - -103. Solve -36*u = -40*u - f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-15) + (-22)\/(-5). Suppose 4*a + 102 = -a - 4*k, -2*k = -t. What is a rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2766 - -2806. Let k = 3 + -10. What is the remainder when 67 is divided by (-16)\/(-4) + k + a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1330 * 415.33\nAnswer: -552388.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203113 + 12?\nAnswer: -203101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 - -44. Let u = f + -96. Calculate the least common multiple of u and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**3 - 68*d**2 + 316*d - 252 = 0. What is d?\nAnswer: 1, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 209 - 305. Let i = 61 - t. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32893 is divided by 2367.\nAnswer: 2122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(343) + -1) - sqrt(343)*-1*5) + -2 + 5.\nAnswer: 4 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/9*(-15)\/(-5)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.042326076 from -0.3.\nAnswer: -0.257673924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 2*y**2 - y + 0*y**2 - y**2 + 3*y**2 + (0*y + 2*y + y)*(6*y + 7*y - 7*y).\nAnswer: 22*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.8 + 21. Let z = s + -16. Let q = z + 7.859. Round q to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -5. Let u = 0.73 - 9.73. Which is smaller: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 8:10 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-3*4\/12 + 2). Find k, given that 20*k**2 + 20*k**2 + 2542*k**4 - 2537*k**4 + 30*k**b = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7}. Give prob of picking 2 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**2 - 3*u + 3*u + (-5 + 4 + 3)*(3*u**2 + 2 - 2).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 357 and 459.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18 (b) 1\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*u - 15*u**3 - 38*u + 3*u**3.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*s + 3. Solve j = s*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 7:12 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((24\/(-60))\/((-36)\/10))*-1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.4*3299.9\nAnswer: -4619.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12280 - 4028. List the prime factors of r.\nAnswer: 2, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/95 not equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*j**2 - 42*j**2 - 112*j**2 - 132*j**2 as n*j + h + x*j**2 and give x.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(6\/261*-303 + 91\/13)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 586800000 to the nearest 1000000.\nAnswer: 587000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/31064 and -27\/38745280?\nAnswer: 426198080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 4:04 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -75, -57, -27, 15?\n\"Answer: 6*t**2 - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a hour in minutes?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -207*c + 6. Let h be r(-5). Let d = -350 + h. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + 120\/(-32))\/((-7)\/16*2). Suppose 0 = -w - 2*w - 12. Let t = -167\/930 + 2\/155. Put v, w, t in decreasing order.\nAnswer: t, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - m**2 + 3*m + 2. Let r be (6\/(-10))\/((-2)\/(-10)). Let v be x(r). Suppose -v*u = -7*u - 20. Solve u*q + 14 = -1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 903804 bigger than 903806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y**2 + 4*y - 3. Let z = 292 - 293. Suppose 1 + 47 = 16*b. Let i(k) = -k**2 - k - 1. Determine b*i(h) + z*t(h).\nAnswer: 2*h**2 - 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccrcrcrjcrccrccrc. What is prob of picking 1 c, 1 j, and 2 r?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.72408 to two decimal places.\nAnswer: 3.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 565*c + 1150.\nAnswer: -5*(c - 115)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2. Let c(k) = 12204*k. Determine c(u(t)).\nAnswer: -12204*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k + 11. Let h be c(-6). Let b be ((-70)\/5)\/(((-16)\/(-10))\/(-4)). Let z = h + b. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 6*k + 8 = 0. Let l(d) = 70*d**2 - 28*d**2 - 24*d**2 - 21*d**k. Let p(n) = -3*n. Determine l(p(u)).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1056051568?\nAnswer: 2, 11, 13, 461561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 153216 to the power of 1\/2, to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1218 divide 1361724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 3, -4, -647, 1 in ascending order.\nAnswer: -647, -6, -4, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 3) + (-16 + 1 - (73 - 64)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/4)\/(17\/68). Suppose -b*w - w - 16 = u, -4*u + 6 = -2*w. Let a = 32 - w. What are the prime factors of a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -136 in decreasing order.\nAnswer: 1, -4, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-15))\/((-4)\/114). Let k = -22 + q. What is the least common multiple of 21 and k\/15 + (-121)\/(-5)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1363 is divided by 222.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -647217, -647222, -647231, -647244, -647261, -647282, -647307?\nAnswer: -647336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -10*y - 3. Suppose 2 - 4 = -s. Suppose 3*r + 8 = 47. Let u(t) = -16 - 3*t - r + 28. What is s*f(n) - 7*u(n)?\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -24\/11, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5 = -15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26409*t**2 + t + 8015*t**2 - 8947*t**2 + 1 - 2*t + 0*t.\nAnswer: -27341*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1060 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*n + 87*n + 678 = -165*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452 rounded to the nearest 10?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-63)\/(-30))\/7)\/(6\/(-16)). Suppose b + 96 = 5*b. Suppose -15*d - b = -11*d. What is the smallest value in m, d, 7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 102 = 5*w. What is the greatest common divisor of 70 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 91*d**2 - 3331*d + 125. Calculate q(-119).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -977016 or -977042?\nAnswer: -977016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1191 divided by 1191?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 5*g**2 + 5*g - 6. Let x be n(-5). Let v = x + 158. Let c = v - -248. Is c a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4295*x**3*y*z - 2*x*y + 27*y*z - 74*z wrt x?\nAnswer: -12885*x**2*y*z - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i = -2722. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1242 or -44653?\nAnswer: -1242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -105*n**2 - 3*n**4 + 243*n**3 + 290*n**3 - 476*n**3 + 51*n.\nAnswer: -3*n*(n - 17)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 112440130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -679\/92 + 3\/23. What is the common denominator of x and 9\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10032 is divided by 474?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 871958 + 174?\nAnswer: 872021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 126597, 2, -6 in descending order.\nAnswer: 126597, 2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2384196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1. Let h(u) = 2*u**2 - 4*u - 7. Suppose 3*w = -w + 12. Let c be h(w). Let p(z) = 2*z - 9. Determine c*p(v) + 6*t(v).\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/19166 and -19\/420.\nAnswer: 574980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1686, 1682, 1676, 1668, 1658, 1646, 1632?\nAnswer: 1616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zozzozzzoo. What is prob of picking 2 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 0.04 (b) -2\/31 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7651076.04 - 7521978. Let d = -129096.63999976 + r. Let y = 1.4 - d. Round y to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59 * -0.1.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8095862 is divided by 317?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17672, 17679, 17688, 17699, 17712, 17727?\n\"Answer: i**2 + 4*i + 17667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50214829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**7\/70 + 3*t**6\/40 - 3*t**5\/20 + t**4\/8 - 4*t**2. Suppose p(x) = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -6, -0.2, 9.439, 1.\nAnswer: -6, -0.2, -0.1, 1, 9.439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 534490 and 1870.\nAnswer: 9086330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (990\/1080 - 3\/12)\/((-28)\/(-6)). Which is the nearest to -0.1? (a) -2\/7 (b) q (c) 0.4 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - 2*m - 988456. Let x(w) = w. Determine a(x(y)).\nAnswer: 2*y**2 - 2*y - 988456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*z - 2*z. Let x(k) = -11*k + 1. Is x(z) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -48516, -100105, -151694, -203283, -254872?\n\"Answer: -51589*t + 3073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + a98?\nAnswer: a9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211301 (base 6) to base 7.\nAnswer: -354043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1597574725?\nAnswer: 5, 691, 92479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24*(52\/12 - 4). Suppose -i + 4 = 4*b. Which is smaller: b or 1\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -11 - 8 - (2 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.7 - -15. Let q = 0.7 + m. Suppose -7*j = -2*j - 10. Which is greater: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/8*(-488)\/366?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + (sqrt(4608) + 1)**2 + sqrt(4608).\nAnswer: 144*sqrt(2) + 4604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 4dc?\nAnswer: 4da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 13371.50233.\nAnswer: 13367.50233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or -4391204?\nAnswer: -4391204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -754*p**2. Let y(i) = 3*i. Give v(y(h)).\nAnswer: -6786*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5919, 3, -3\/2 in decreasing order.\nAnswer: 5919, 3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-5)*80\/12. What is the units digit of 10\/3*u\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:32 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100320100*q**3 - 93*q**2 - 76873 wrt q?\nAnswer: 601920600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from saxaaxa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*(z**(1\/3)*z)\/z*z*z**(-1)*z**(12\/5)\/(z*z*z**(-4\/7)) assuming z is positive.\nAnswer: z**(242\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/(-10))\/((-3)\/(-222)). Which is smaller: -35 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 41. Let x = v + -39. Solve x*l = 4*l - 4*g + 20, -2*g = -3*l - 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-72)\/(-20))\/6)\/(10\/(80\/72)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (-9 - -4) - -1. Suppose -b*i + 434 = 5*i. What are the prime factors of i?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.037, -2\/3, -0.0592?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -899 - -1604. Calculate the common denominator of (-2)\/5 - (-2608)\/320 and (o\/198)\/(-1) - 6\/9.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1988 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d + 11. Let m be f(0). Let r(u) = -8*u**2 - 11*u + 11. Let t(v) = -3*v**2 - 4*v + 4. Determine m*t(q) - 4*r(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 373*o**5\/60 + o**4\/24 - 43*o**3\/6 - 8*o**2 + 2. What is the second derivative of f(u) wrt u?\nAnswer: 746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -3*o + 16, 4*j = 2*o - 4*o + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53277 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (5 - -1) + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15376?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -15*(-4)\/36*3. Let i(u) = u**2 + 10*u - 1. List the prime factors of i(r).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 0)*(-l + 104 + 238 - 431)*(-4*l + 2*l + 0*l)*(-2*l**2 + 2*l**2 - 2*l**2).\nAnswer: 20*l**4 + 1780*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22242 is divided by 618?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccc. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of u**4\/2 + 20*u**3\/3 + 23*u**2 + 28*u - 177. Suppose o(x) = 0. Calculate x.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1499236125.4 rounded to the nearest one hundred thousand?\nAnswer: -1499200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57624 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q + 3. Suppose -2*l = -3*l. Let h = l - -22. What is the least common multiple of c(-3) and h?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029.469 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40 - 17*h + 40 to the form o*h + b and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 244 and 16348.\nAnswer: 3988912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 678*y + 679*y + 1137, f - 1117 = -3*y. Solve 2*b = -f + 1138 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447968.\nAnswer: 2, 13999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2057) + -3 + -3*sqrt(2057))*1 + 0)**2.\nAnswer: 132*sqrt(17) + 8237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 3. Let q be v(0). Find the third derivative of j**2 + q*j**3 + j**3 + 2*j**4 - 4*j**3 wrt j.\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -59. Let b = 8 + p. Suppose -4*i + 3*i = -b. Calculate the highest common divisor of 176 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 523 - 2577\/5. Calculate the common denominator of -113\/258 and r.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 42 = 3*r, 5*r - 8*s = -3*s + 50. Suppose -2*c = 2*c - w - r, 3*c + 14 = -4*w. Let p = -8 - -10. Solve p = 4*i - c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4068, -3, -1\/3, -0.7 in decreasing order.\nAnswer: 4068, 0.3, -1\/3, -0.7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*q + 3*h + 3, q = 5*h + 27. Suppose -2*s + 2*x - 2 = 0, 0 = 3*s - 4*x + 4 + 4. What is the least common multiple of s and 329\/63 + q\/(-9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 291816701*u**3*y + 3*u**2*y - 25*u**2 + 4*u*y + 4*u - 665*y - 2 wrt u?\nAnswer: 1750900206*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3\/7 - 92*z**2\/7 + 862*z\/7 + 2108\/7 = 0.\nAnswer: -2, 17, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/9))**(6\/11))**(-43\/2) assuming i is positive.\nAnswer: i**(86\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/8 of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1329 - -1921. What is the remainder when h is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 24 = -4*d - 4*q, 5*d + q = 15. Suppose -4*w + 6*w = -3*c - 1, 3*c = 5*w + 34. Suppose -b - c*b = -d. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5807 and 5834 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/2720 and 13\/680.\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -35*j**3\/6 + 2*j**2 - 11*j. Is l(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3410 and 122693350.\nAnswer: 1349626850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1, -13, -1, 49, 149, 311, 547, 869?\n\"Answer: 2*z**3 + z**2 - 31*z + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 909\/2*b + 1\/8*b**2 + 826281\/2 = 0.\nAnswer: -1818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, z: 2, r: 2, s: 8}. Give prob of sequence rsj.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/(-16))\/((-2)\/(-28)). Let c = 61 - d. Suppose -2 + 1 = -v - f, 4*v - 5*f - c = 0. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2 - 5*b - 9. Let f be n(3). Solve -h = f*r + 2*r, 0 = -5*r - 2*h + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 369 - 369 + 7*n to the form d + c*n and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-8)*38\/57\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -36*w - 7. Calculate the remainder when s(-4) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*t**4 - 8*t**4 + 1 - 14 wrt t.\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2 + sqrt(612) - sqrt(612)))**2 + sqrt(68)\/((sqrt(4) + 2*sqrt(4) + sqrt(4))*5 + sqrt(4)).\nAnswer: sqrt(17)\/21 + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 77*a + 576. Determine v(34).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 14*i**2 - 4. Let p be v(3). Suppose -p = -5*z - 32. Solve -4*a = -z - 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 665*o**3 - 2*o**2 + 4*o - 4. Let p be h(2). Is (2 + p)*(1 - (-4)\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 25*w**2 - 224*w + 48. Let r be v(-32). Let g = 31 + -15. Calculate the highest common divisor of g and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 193 + -194. Let u(v) = v - 7. Let g be u(8). Let q be (g - 1) + 9\/(-15). What is the nearest to z in -3, -0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4) + 4 - sqrt(7) - (sqrt(7)*-1 + 1))**2 + 1.\nAnswer: 6*sqrt(7) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 7*a**2 - 7*a + 15. Let u be o(6). Suppose -15 = -h + u. What is the greatest common divisor of h and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(630\/(-4))\/(-15)*4\/(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 22 - 19. Let o(p) = 13*p**3 - p**2 + p - 1. Let w be o(n). Suppose -20*m + 0 + 40 = 0. Solve 5*l + w = m*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24757075 divided by 33?\nAnswer: -24757075\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9142 + 199*b + 9142)*(-47*b**2 - 180 + 180).\nAnswer: -9353*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25 or 1\/4?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + -3c26b?\nAnswer: -3c275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-3)\/d)*d**(-3\/5))\/((d\/d**6)\/(d**6\/d)) assuming d is positive.\nAnswer: d**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1104 + 4411330?\nAnswer: 4412434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 65177359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271056?\nAnswer: 2, 3, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/25*(-15)\/(-18). Let z = 61 - 190. Let g = -259\/2 - z. What is the closest to h in 1\/6, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48382 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 5*d**2 + 8*d - 8. Let s be o(6). Suppose 15 = s*v + v. Suppose 0 = -3*h + 3, 2 + v = 4*z + h. Solve -4*a + 3 + z = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 45?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3600 (base 10) to base 3\nAnswer: 11221100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -0.048, 8, 2, -1, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265807602?\nAnswer: 2, 3, 823, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3636872?\nAnswer: 2, 454609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1982516625.\nAnswer: 3, 5, 17, 23, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-2)*(250\/(-350) + 8\/(-28)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - -7. Suppose 0 = -5*r + 15, r + 4*r = -2*h + b. Let y = -7 - -11. Calculate the lowest common multiple of y and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3550\/(-852))\/(-5)*(-138)\/(-20).\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -70*d + 18. Let o(x) = -141*x + 34. Let y(z) = -7*l(z) + 4*o(z). List the prime factors of y(-4).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 41. Let o(k) = -9*k**2 - k**2 + l*k**2 - 3*k**2. Let y(m) = 15*m**2. Determine o(y(s)).\nAnswer: 675*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 166, 165, 128, 43?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1.3, -5, 3, -22?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/8)\/(9\/(-66)). Suppose -z = -3*q + 28. Calculate the remainder when 19 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96416.\nAnswer: 2, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 11*h**2 - 9*h - 24. Let n be z(10). Let y be (-2)\/(-5) + n\/35. Solve y = 5*o + 2*i, 15 = 5*i - 8*i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -120 - 2*o + 10*o**3 + 122 + o**4 + 24*o**2 - 5*o**3 in the form l*o**4 + f*o + p*o**2 + j*o**3 + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 221.35 - 221. What is the closest to -14 in b, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -13 + 8 - ((-8)\/(-2) + 1). Let g(z) = z**3 + 10*z**2 + 5*z + 47. Let w be g(x). Which is the closest to 27? (a) w (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1072 and 41674.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 528678913?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -420598, 7 in increasing order.\nAnswer: -420598, -2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 9:09 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -98757 + 2?\nAnswer: -98755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.31233 weeks to seconds.\nAnswer: 19542497.184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 11*z**2 - 14*z - 27. Determine c(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 + -98. What are the prime factors of (-1 - 32\/a)*35?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 970, 7, 0, 1\/2, -2 in increasing order.\nAnswer: -2, 0, 1\/2, 1, 7, 970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (106\/(-564) - 2). Let u be 186\/(-94) - 2\/(-1). Let t = u - x. Which is the second biggest value? (a) -0.03 (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4272347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 12, n: 6}. Give prob of sequence nnd.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -123220121324?\nAnswer: -123220121321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 285 and 523545.\nAnswer: 523545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 9*o**2 - 4*o - 34. Let y be p(-9). Suppose 4*b = 2*b + 4. Suppose 4*u - 5*m = 4182, -y*u - b*m = -0*m - 2082. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1671933505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - m - 3. Let v(s) = -2*s**2 + 5. Let w(l) = 2*j(l) + v(l). Let y be 2\/6 - 4\/3. What is w(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 5938.\nAnswer: 35628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2003992, 4007983, 6011974, 8015965, 10019956, 12023947?\nAnswer: 14027938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2. Let v(l) = 2 - 9*l**2 - 2 - l**2. Give v(w(k)).\nAnswer: -40*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 477 - 477 - 7*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 4*k - 8. What is j(8)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b. Let t be x(0). Let g = t - -4. Suppose 0 = -4*p - 5*j - 7, 5*p = -0*p - 5*j - 10. Put g, -5, p in ascending order.\nAnswer: -5, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-3) + 8 + (-96)\/9. Let c(q) = -3*q - 115. Give c(j).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91721817?\nAnswer: 3, 11, 17, 54499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 97f (base 16) to base 4\nAnswer: 211333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*12)\/(14232\/24906).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-1 - (0 + -4)). Let v = -9 - d. Suppose -18 = 2*x + 2*n, n - 19 = 3*x + 2*n. Sort v, 2, x in descending order.\nAnswer: 2, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7140 - -7138. What is the closest to -1\/2 in 2, b, 35, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11955964 by -386.\nAnswer: -30974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -790.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -565*d**3 - 238*d**3 + 1 - 1 + 110*d**3 + 28*d**3.\nAnswer: -665*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. Let k(x) be the first derivative of -x**2 - 3*x - 1. Calculate the least common multiple of w and k(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1702.3 and 4.\nAnswer: -6809.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 3 = 4*b, -3*b - 18 = -2*b - 5*l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/sqrt(48)*-4 + -3*sqrt(27) + 4 - (-5*(sqrt(192) + -3*sqrt(192))\/sqrt(4) + 2).\nAnswer: -51*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 + -15 + 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2 = -2*f, -3*f + 15*k = 14*k - 3. Let t be f\/((1\/3)\/(-1)). Put t, -2, 10, -1 in descending order.\nAnswer: 10, -1, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6014 + 1019 = l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (228\/(-10) - 0)*7200\/(-270)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**3 + 1333*i**2 - 241*i wrt i.\nAnswer: -12*i + 2666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d - 26. Calculate n(-7).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0, 3, 8.\nAnswer: -2\/3, 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -174791*w + 59523?\nAnswer: -174791","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004175525007 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(7\/4))**(-15)\/(h**8)**(2\/25) assuming h is positive.\nAnswer: h**(-2689\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448408734.\nAnswer: 2, 3, 173, 431993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3 + 20*n**2 - 9*n**2 + n + 0*n + 0*n**2. What is the units digit of c(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 5*s**2 - 6 - 2*s**2 + 3*s**2 + 3*s. Calculate f(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1020*r - 91*r - 1114*r**2 - 727*r wrt r.\nAnswer: -2228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 4 = -3*g. Is 2\/27 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 10:34 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 1950 = 44*p + 27*p for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 134297048 a multiple of 1423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -33*c**3 + 3*c**2 - 3. Let q be (-14 - -2 - (-21 + 17)) + 5. Let x(j) = 166*j**3 - 16*j**2 + 16. Determine q*x(k) - 16*b(k).\nAnswer: 30*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 5*q - 7. Let v be u(3). Suppose 0 = -g - v - 1. Let p = g - -24. Solve d + d + 4*a + p = 0, 5*a + 8 = -2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 + 40*a**2 - 60*a - 34. List the prime factors of k(17).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -560?\nAnswer: -557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1320.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-10) + -2 + 1144\/20?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 20*o**2 + 35*o - 26. Give s(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -5. Let m be (0\/2 - -1) + 2. Solve 3*x + m + 0 = q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 4 = -21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5 = 0, 0*v - 2*v = l + 3. Let t = -9.9 - -174.9. Let i = -167 + t. What is the nearest to v in 0.01, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiziziiiz. Give prob of picking 2 i and 2 z.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 108\/702 + (-56)\/(-182). Let l(h) = h**3 - 6*h**2 + 6*h. Let u be l(5). What is the third smallest value in 1, u, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-8) + 12032\/1024.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 2*w + 12. Let n(u) be the second derivative of -3*u - u**2 + 0*u**w + 1\/6*u**4 + 0. Determine g, given that n(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -243593 + -270846885.\nAnswer: -271090478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 - 160 = -3*b + 2*y, -15 = 3*y for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-20))\/(((-441)\/70)\/(-21)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 0 - 12*w**3 + w**3.\nAnswer: -11*w**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, a: 1, j: 1, e: 2}. What is prob of picking 2 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -852 = -57*m + 117. Let s(c) = 3*c - 50. Give s(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8956017 is divided by 1279414?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*j - 3040 = 75*j - 62*j. Let k = -26 + 91. Calculate the remainder when j is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8779898mm in kilometers?\nAnswer: 0.0000008779898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v**2 + 2*v + 3. Let b be q(-3). Let z = -34 + b. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71374 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1612 - 1608. Solve -u*g - 950 + 930 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -953 (b) 0 (c) -0.5 (d) -55 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -140 - -350. Suppose 596 = 2*j - i. Let o = -259 + j. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1254.2 - -1254.2. What is the second biggest value in -4, 3, 5, z, -225?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 65897 + 0?\nAnswer: 65897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mty when three letters picked without replacement from {j: 1, t: 1, y: 2, c: 1, i: 2, m: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 29 = -5*t - 6, 102*t - b + 157 = 125*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: -32.2+249.4\nAnswer: 217.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 111000220?\nAnswer: 111000220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, f: 4, h: 2, e: 4, c: 5, b: 1}. What is prob of picking 2 e and 2 z?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17294.7 + -17156.6927. Let j = 138 - d. What is j rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 504*w**2 + 13*w - 7. Is z(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 o when four letters picked without replacement from qqqqoqoqqqqqqqqqqqqq.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13728208141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 14 = j, 0 = -2*q + 2*j + 3*j + 16. Suppose 0 = q*t - 5*o - 71, 2*o - o + 111 = 5*t. Calculate the remainder when 39 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 337*n + 59*n - 142*n + 176*n + n + 0*n + 0*n + (-3 + 3 - 2)*(0 + 2*n + 0) + 2 - 2 + n + n - 4*n + 2*n.\nAnswer: 427*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4 = 3*s - s, -5 = 5*r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1751748*i**2 - 3503589*i**2 + 1751840*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -292864 or -3807237\/13?\nAnswer: -3807237\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 870 = 5*g, 180 = 3*f - 2*f - 3*g. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 11) in base 2?\nAnswer: -101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + (1 - 2)\/(-1). Let f = v + 9. Solve f*r + 10 = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -569821 by 14.\nAnswer: -81403\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6167752*s**3*x**3 + 32*s**3*x**2 + 1098*s**3 + x**2 - 63 wrt x?\nAnswer: -37006512*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**19\/n))\/n**21)**(14\/5))**(24\/5) assuming n is positive.\nAnswer: n**(-13104\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 2*t = 37, 230*x + 2*t = 227*x - 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**6\/3 - 4*b**5\/5 - 25*b**4\/6 - 3*b**2 - 578*b. Find the third derivative of n(o) wrt o.\nAnswer: -240*o - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -8*v + 44. Let n be h(5). List the prime factors of -1*(2 + n) - -221.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v + 8\/7 - 2\/7*v**2.\nAnswer: -2*(v - 2)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 - -4.94. Let p = 5.13 - v. Let b = p - 0.9. What is b rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from ntntm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 45. Suppose 3*m = 2*m + q. Suppose -12 = -g - 2*t, 4*t + t = m. Solve j - 20 = 3*x, -4*x = j + g + 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 2\/6*0. Calculate the remainder when 62 is divided by (-4)\/(-20) + (-79)\/w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 45621.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2513170774?\nAnswer: 2, 19, 467, 141619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 601147 + -77?\nAnswer: 601050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 25*z - 106. What is w(-15)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 4176.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.635173629 - -0.24.\nAnswer: -2.395173629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 469\/2 - 4241\/18. Calculate the common denominator of s and -89\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (7 - 0) - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.4 - -27.36. Let z = 2072.04 + -2072. Let y = z + j. Which is the nearest to 1\/3? (a) 0 (b) y (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -115*v**2 + 33*v**2 + 39*v**2 + 37*v**2 - 5*v**3 + 17*v + 67. What are the prime factors of g(-6)?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymkk. Give prob of sequence kmyk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -30403182 - 17?\nAnswer: -30403199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -323*z + 1253. What is the units digit of j(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.3 and -139834.\nAnswer: 321618.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, b: 11}. Give prob of sequence bb.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 8:34 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3\/3 + 238594*r**2\/3 - 88312772*r\/3 + 88074176\/3 = 0. Calculate r.\nAnswer: -119666, 1, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 3*n. Let g(j) = -4*j**2 - 6*j + 6. Let t(f) = 3*f**2 + 5*f - 5. Let i(k) = -5*g(k) - 6*t(k). Calculate i(d(o)).\nAnswer: 2*o**4 + 12*o**3 + 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 184968?\nAnswer: 184969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 5) to base 6\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luu when three letters picked without replacement from {l: 2, u: 9}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 - 0.97. Let y = p + 4. What is the second smallest value in 0.1, -2, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 588 and 4452.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -14. Let t be 16\/(-2) - 7\/7. Let q = -9 - t. Which is the nearest to q? (a) 0.5 (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 g when two letters picked without replacement from glqlalotaqql.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*y - 4*y + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23440044 (base 8) in base 2?\nAnswer: -10011100100000000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 394485575?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 5 + 0)*(6*p**2 - 20*p + 5*p**2 + 21*p) as g*p + l + i*p**2 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1266 * 604\nAnswer: 764664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 20 - 5. Let g(r) = -r + 1. Let i be g(p). Let x(o) = -o - 3. Let n be x(-7). Sort n, i, 2.\nAnswer: i, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*p - 0*p. Suppose -g + 3*f - 6*f - 3 = 0, f - 1 = -g. Put 0, p, g in decreasing order.\nAnswer: g, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3784\/344)\/((-22)\/(-186))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1486365?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**(-9)*b)*b**(2\/47)*b*b*b**(-11)*b**12\/b*b assuming b is positive.\nAnswer: b**(566\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(153) - (sqrt(153) + (sqrt(153) - (sqrt(153)*2*-6 - sqrt(153))) + sqrt(153) - sqrt(153)))*3)\/(sqrt(18)\/(sqrt(24)\/(2*sqrt(12)) - sqrt(2))).\nAnswer: -63*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1458.99996324 + -1459. What is i rounded to six decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.24 + 15.0408651.\nAnswer: 15.2808651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 803449435*a. Let b(m) = -2*m**2. Give b(p(j)).\nAnswer: -1291061989203638450*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.115, -0.2, 3\/2?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 6:15 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 5*c + 3. What is the remainder when 10 is divided by d(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23619.75 - -5\nAnswer: -23614.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2203 = x + 2*s - 1044, 3*s + 9741 = 3*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1604 is divided by 789?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 827718 divided by -81\nAnswer: -275906\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -2, 4\/3, -4 in ascending order.\nAnswer: -4, -2, 1\/8, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 64301 and 459?\nAnswer: 29514159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, i: 5, d: 1, l: 4}. Give prob of picking 1 i and 3 y.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - 23318\/(-3560)*10\/(-4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 3*i**2 - i - 3. Let w be n(-3). Suppose -4*v = -2*k - 54, w*v - 3*v = k - 48. Let u = v - 10. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11835 + -11154. Solve -c*y - 3 = -682*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-12\/5)*(h\/(h*h\/(h*h**9*h))*h)\/h assuming h is positive.\nAnswer: h**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16599265 rounded to the nearest one hundred thousand?\nAnswer: -16600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 404*h**3 + 23.\nAnswer: 404*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1\/14, -28, 5\/6, 2, 3\/2?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/5 - 2*w**3 - 19*w**2\/5 + 6*w.\nAnswer: -w*(w - 1)*(w + 5)*(w + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4523251 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + w = -96 - 71, -3*w + 159 = 5*g. Suppose g*b - 3 = 30*b. Solve -3*m = -2*m + b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*h - 181 - 52 - 46 = 27 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32b908 (base 13) to base 4.\nAnswer: 10210022121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1785 divide 17789310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 666 + -657. Suppose 3\/2 - v*f + 27\/2*f**2 - 6*f**3 = 0. What is f?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*i. Suppose -4*w = -o + 4, i*w = -3*o - w - 1. Which is greater: o or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(528) - (-1*sqrt(528) - sqrt(528)))*-2)\/((sqrt(24) - sqrt(24)*2)\/sqrt(8)*-3)*6.\nAnswer: -48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37594.9 micrometers in kilometers?\nAnswer: 0.0000375949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert a059 (base 11) to base 10.\nAnswer: 13374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (16644*r + 7560*r + 25674*r + 24347*r - 6114*r)*(-1 - 1 + 4) + 0*r + 2*r + 0*r in the form i*r + h and give i.\nAnswer: 136224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 2*w + 4664*w**3 - w - 4658*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1011010011111100?\nAnswer: -1011010011110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r + r)*((3 + 1 - 6)*(1 - 1 - 2*r**3) - 253*r**3 + 446*r**3 - 37*r**3 - 2 + r**3 + 2).\nAnswer: 322*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -571 = -2*j - 2*v - 451, -3*v - 275 = -4*j. What is the remainder when 1114 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6696393 * -1.\nAnswer: 1.6696393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -60*t. Let r(b) be the third derivative of -b**4\/24 + b**2 + 128. What is -4*l(v) + 220*r(v)?\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 28, 97, 280, 643, 1252, 2173, 3472, 5215?\n\"Answer: 11*b**3 - 9*b**2 + 19*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5)*v**(-5))\/(v\/(v*(v**(-3\/4)\/v)\/v)*v\/((v*v*v**(2\/13)*v)\/v*v)*v))\/((v**(-1\/3)\/v)**17\/(v**(1\/6)\/(v**(-2\/3)\/v))) assuming v is positive.\nAnswer: v**(4759\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3 + 3. Suppose -k*q + 2 = -4. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a kilometer in meters?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*l - 9348 + 3100 + 3141 + 3107.\nAnswer: 77*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**4\/2 + 113*j**3\/3 - 2697*j**2\/2 - 2793. Find the second derivative of q(t) wrt t.\nAnswer: 12*t + 226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**3\/3 - 1. Suppose 0 = 5*r - 5. Let p(h) = -1 - 2*h + r. Determine u(p(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/220)\/(-1))\/(((-36)\/40)\/(-9))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d - 2. Let s(l) = -l + 1. Let o(c) = -f(c) - 3*s(c). Let z(k) = 10*k + 10. Let p(h) = -h + 18. Let i be p(0). What is i*o(v) + 2*z(v)?\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/12 and 143\/186.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a0 - 33c?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -17*h + 75. Let z(k) = -279*k + 1200. Calculate 33*a(p) - 2*z(p).\nAnswer: -3*p + 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 u when three letters picked without replacement from ouoouoouoo.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2449 is divided by 359.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -81.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 38*i + 341. What is s(11)?\nAnswer: 759","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1778484329\/7 + 253528320. Let t = b - -538979. Let y = -1887 - t. Calculate the common denominator of y and 13\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**5 - 7160*k**4 + 1430175*k**3 + 5950460*k**2 - 22884080*k - 93374400 = 0. What is k?\nAnswer: -4, 4, 245, 1191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000041323 rounded to 7 dps?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((-1 + sqrt(125))*-5 - 4*(sqrt(125) + -1))*-1)**2*-4.\nAnswer: -40827 + 3240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 78 (base 11) to base 13\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/2*(35\/(-15) - -1) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*s - 7*s - 2 - 38*s - 5*s - s - 9119*s**2 to the form g*s**2 + a*s + k and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -118, -6, 176?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-10) + (-11664)\/90. Let j = -2 - -6. Find the common denominator of ((-3)\/18)\/(j\/l) and 5\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 + -114. Let c(v) = -v**3 - 29*v**2 - 4*v + 56. What is the hundreds digit of c(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvn when three letters picked without replacement from nnvnvnznvvvzvvnvz?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and ((-5)\/(-10))\/(17\/(-6 - -38630))?\nAnswer: 10224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314038 = -12090*l - 303354 + 12892 for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*j + 26*j**3 + 13 - 13 + 10*j wrt j.\nAnswer: 156*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + s**2 + 3. Let r be x(0). Suppose -2*q = -b - 16, 2*q - 27 + r = 3*b. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1439223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpddpdpddnnd. Give prob of sequence dpp.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as 11204\/19785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(1216) - sqrt(1216)*-4*2))**2 + 3)*-2.\nAnswer: -197000 + 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8407, 33746, 75977, 135100?\nAnswer: 211115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 35597, 0.13, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1113, -4212, -9355, -16542?\n\"Answer: -1022*l**2 - 33*l - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 274120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2641 is divided by 565.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*y + 665 + 9303 = 0 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010101 (base 2) in base 7?\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4)\/(j**2*j)*((j\/(j*j*(j*j\/(j\/(j*j**(2\/19)\/j)))\/j)*j)\/j)\/j**2 assuming j is positive.\nAnswer: j**(-192\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 18*m - 5*m)*(-m**2 - 4*m**2 + 2*m**3 + 6*m**2).\nAnswer: -40*m**4 - 20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 - 2314 = -4*c. Calculate the highest common divisor of 19 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308 and 14636468?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (0 - -7)) + 1 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*h - 104 = 0, -4*h - 58 = -3*y + 10. Suppose 4*g - 16 = y. Suppose 7*q - g = 4*q, 0 = -2*u - 2*q + 24. Solve -u - 6 = 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 351, -917, -3029, -5985, -9785, -14429?\n\"Answer: -422*j**2 - 2*j + 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + -23 - (8 - -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 264 = -2*t. Let k = 30 - t. Which is bigger: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1, 54, -0.2, 35\/9, -274?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**4 + 5*t**5 + 5*t - 20*t**2 - 7*t**3 - 6*t**3 + 3*t**3 + 6*t**4 + 10 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/4 + -4 + 33\/6. Let s = 0.3 + 0.2. Which is the third biggest value? (a) -2\/7 (b) r (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 1736?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -6*o**3\/11 - 24036*o**2\/11 - 95976*o\/11 + 288144\/11 = 0?\nAnswer: -4002, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8103*r - 1373*r + 9368 = 108110 - 515686 for r.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 14 - 16 = 0. Let j(v) = v. Let p(r) be the first derivative of 3*r**2 + r - 59. Let n(b) = 5*j(b) - p(b). Determine n(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*i + 706 = -441, 5*n + 3*i = -1149. Let m = 244 + n. Solve 5*d + m = 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 71 = -69, 2227 = c - i. What is the greatest common factor of c and 712?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47311300 to the nearest 100000.\nAnswer: 47300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12088434671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 23*o. Let y(t) = 19*t**2. Calculate l(y(d)).\nAnswer: 437*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 1 + 1 - 804*m + 804*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*(2\/(-26) - 95424\/117).\nAnswer: 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10558 + 5606. What are the prime factors of o?\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3720)\/(-4340) + (-23)\/35. Suppose -1 = -2*d + 9. Which is the nearest to 1\/2? (a) k (b) -8 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.52 + 0. Let m = d + 0.02. Let u = 13 + -10. Put u, -2\/11, m in decreasing order.\nAnswer: u, -2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -321964*x**3 - 543814*x wrt x.\nAnswer: -1931784*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1678, 3271, 4864, 6457, 8050?\n\"Answer: 1593*m + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1479 (b) 1 (c) -455\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -14 - 2 - 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppp. Give prob of picking 2 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -54527, -54548, -54567, -54590, -54623, -54672, -54743?\n\"Answer: -w**3 + 7*w**2 - 35*w - 54498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10636479 divided by 1869?\nAnswer: 5691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1385*z + 1004*z + 5*z + 1306*z. Let l(s) = -4*s**2. Determine l(y(n)).\nAnswer: -54760000*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*g - 2*i - 117 = 0, -4*g + 428 = 2*i. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 3*d**2 + d**2)*(2*d**2 - 2 + 2) + 0*d**3 + 26*d**4 - 2*d**3 + 173*d**4.\nAnswer: 203*d**4 - 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**3\/5 + 896*r**2\/5 - 19776*r\/5 + 23040 = 0.\nAnswer: 12, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01963822 to 4 decimal places.\nAnswer: -0.0196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**2 + 4. Let c be k(0). Suppose 20 = c*b, -b + 0*b = 3*s - 23. Is 1 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, o: 1, d: 1, l: 7}. What is prob of picking 2 l?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 2*v**2 - 2*v - 1. Let x be c(3). Suppose 4*d - 3*u = 95, -x*d + 5*u - 16 = -81. Suppose -w = w. Solve o - 16 = 3*s + 1, -4*s - d = w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.043 in -3\/67, 4, 20?\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 17 - ((-4 - 1) + -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10.5, -6358\/37, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 9*t - 20. Suppose -7*n + 5*n + 18 = 0. Let o = t + n. Solve -5*h = -0 - o for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6 = 4. Let u be (-1)\/((0 - 2)\/k). Let h be (0 - 3) + 2 + u. Solve n + 2 = 2*w - 4, h = n - 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13061656 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11541 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -7*h**2 - 18*h + 250. Let i be d(5). Which is greater: 8\/9 or i?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40750, 40455, 40158, 39859, 39558?\nAnswer: 39255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -54 + (1 - -48) + (-4 - (-3 - 0))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*q = -263*q - 411*q - 35772 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (12\/4 + -7). Solve 23 = p*w + 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*i + i - i)*(-3 - 5 + 2) + 6*i - 4*i + 0*i + (-1 - 3*i + 0*i + i)*(9 - 2 + 14))*(2 + 0 - 1).\nAnswer: -28*i - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -30, -43, -56, -69?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 + 12. Let k = h - -58.00101. Round k to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357031478 is divided by 71406294?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 5*p**2 + 11*p - 22. Let s be n(-7). Put 5, -25, 3, s in increasing order.\nAnswer: -25, s, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1019*z - 1009*z + 2009*z - 3 + 3.\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 8\/235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612937240 to the power of 1\/3, to the nearest integer?\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/4)\/(j*j**(-5\/4)*j*j)*(j**(-2\/3))**(-10) assuming j is positive.\nAnswer: j**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 51\/((102\/(-120))\/(-17)). Let z = l + -167. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/40958102 and -93\/28?\nAnswer: 573413428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 + 86. What is the remainder when i is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*l = -64, 2*r = -2*r + 5*l + 83. Let h be ((-1)\/5)\/(r\/(-45)). Let w = -3 - -2. What is the closest to h in w, 3\/7, 5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -778*i - 187772 = -130978 for i.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjdj when four letters picked without replacement from {d: 1, s: 1, j: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -15. Calculate the remainder when 29 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/9)\/((-96)\/216*(-3)\/(-10)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 4*v = -l + 14, 258755*v = 2*l + 258759*v - 28 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 6. Suppose -a = -m - 26. Let y = -21 + a. What is the remainder when 51 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5059719?\nAnswer: 3, 7, 19, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 + 30*j - 501. Let k be g(9). Solve 437*x - k = 441*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.20155*-3.\nAnswer: -6.60465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, m: 3}. Give prob of picking 1 m and 2 s.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.161 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-195))\/((-2)\/6)*-5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1007137 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**6\/24 - 5*c**5\/12 - 5*c**4\/3 - 10*c**3\/3 - 31*c**2\/2 + c - 11. Let z(b) be the first derivative of s(b). Factor z(m).\nAnswer: -5*(m + 1)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 5*f = 0, -2*t - 3*f = -2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(0 - -1))\/(28\/(-207228)). Suppose 68 = -y + 569. Let i = v + y. Round i to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 494, 978, 1450, 1904, 2334, 2734, 3098, 3420?\nAnswer: 3694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 14*d**2 + 4*d + 59. Let g be u(-14). Suppose -2*j + 33 = 5*m, m = -3*j - 2*m + 45. Solve -j*x + g*x + 11 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.002 or 1530?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 348348 and 4212?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 311919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 1126936 = 4*x, -41*x + 39*x = 4*l - 563490. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.061\nAnswer: 0.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rrrorrrr.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -41*r - 1439. Let u be s(-35). Let t(m) = m**3 + 6*m**2 + 10*m + 1. Calculate t(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7939\/(-13240) - 33\/(-55). Let w = 41053\/23832 - z. What is the common denominator of w and -37\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-221)\/(-102) - (-2)\/(36\/(-3)). Suppose 0*j - 1204 = -4*c - q*j, -5*c + 1491 = -j. What is the highest common factor of c and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 3:22 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 3:12 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/36? (a) 4 (b) 2 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i**2. Let t(j) = -2*j - 14. Let y(g) = -1. Let z(r) = 4*t(r) - 56*y(r). What is o(z(p))?\nAnswer: 384*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-24))\/(51\/34)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 9*x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3373?\nAnswer: 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 48\/27 - 4\/(-18). Suppose 3*c = -5*b + 2901, -q*b - c = -b - 581. Let i = -310 + b. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 - -70. Is 18 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from rorrrrrebdboebrddd?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*r + 25. Suppose 0 = -2*m - 0*m + 4. Let w be (-1)\/2 - (-2)\/3. What is the second biggest value in m, w, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**6\/90 - 8*n**5\/15 - 32*n**4\/3 + 5*n**3\/2 - 18*n. Let h(d) be the second derivative of q(d). Factor h(v).\nAnswer: -4*(v + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-58)*(-4)\/32*(-5)\/((-20)\/32)\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5 (b) -18.1 (c) 2\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - -1. Suppose -2*w + 5*i = 2*i - b, 0 = -4*w + 5*i + 82. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 + -61. Let j(v) = -101*v**3 - 4*v**2 - 7*v + 2. Let k be j(n). Round k to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 13*h**2 + 4*h + 3. Let o(y) = 70*y**2 + 23*y + 19. Let r(w) = 6*o(w) - 34*u(w). Let g(b) = -9*b**2 + b + 5. What is -12*g(t) + 5*r(t)?\nAnswer: -2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21793 is divided by 2722.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4140530.3 less than 57.3?\nAnswer: 4140587.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-2\/9)\/t))\/t*t**(-7)*t)\/((t**(-8)*t)\/(t\/(t*t\/(t*t\/t**4*t)))) assuming t is positive.\nAnswer: t**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 3*u. Let o(q) = q**3 - 7*q - 2. Let b(g) = 3*g + 1. Suppose 5*x = 4*x + 2. Let i = x + 3. Determine i*b(t) + u*o(t).\nAnswer: 2*t**3 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 3. Let n be h(0). Suppose -2*k = -n*k - 3. Calculate the remainder when k*(-1)\/3*37 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxq when four letters picked without replacement from qqxxqx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 6*p**2 - 8*p + 8. Let x be b(7). Let z(r) = 68*r**2 - 2*r + 1. Let f be z(x). Suppose h = -13 + f. 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: Convert 125.0902 litres to millilitres.\nAnswer: 125090.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11019 + -55282\/5. Let f = u - -4463\/120. What is the common denominator of 4\/14 - 1479\/(-189) and f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-4 + (-4174)\/240). Let r = 454\/15 - h. Find the common denominator of r and 67\/9*1\/(-2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, -4, 343, 1.\nAnswer: -6, -4, 1, 4, 343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*q**2 + 31*q**2 + 28*q**2 + 2*q**2 - 3*q**2 - 4*q**2 + (q**2 + q**2 - q**2)*(-2 + 1 - 1).\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-12) + ((-11)\/(-33) - 1).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + sqrt(832)*3.\nAnswer: -5 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -15. Let l = -2 - f. Suppose -1 = l*z + 1. Which is the second biggest value? (a) -2 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 285\/(-12) + (-1 - -1) and ((-2)\/(-57))\/((-4)\/(-6)).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -126 + 99. Let f be n\/(-5) - 12\/30. Solve 0*i = i - f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*p + 492 - 72 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 5*a - 6 = 2, a + 12 = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*y**2 - 276 + 276.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 285763 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 6. Let j(l) be the second derivative of l**3\/6 + 3*l**2 + 2*l. Let n = 9465 + -9462. What is n*b(g) - 2*j(g)?\nAnswer: g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 255 = -60. Let c(o) = 2*o + 1. Let n be c(4). Calculate the highest common factor of l and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**3\/3 + 23*n**2\/2 + 21*n - 5. What is the hundreds digit of t(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 12:48 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1180a16 - -2?\nAnswer: 1180a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22724\/35 or 650?\nAnswer: 22724\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78701 is divided by 2660?\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12 + 13)\/((-1)\/(-5)). Let p(k) = -k**3 + 6*k**2 - 4*k + 6. Let a be p(4). Suppose 67 = c*t + a. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1596*q - 468*q + 967*q.\nAnswer: 2095*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**2 + 32*d + 37. Let f(w) = 18*w**2 + 160*w + 184. Let j(u) = -6*f(u) + 28*z(u). Factor j(r).\nAnswer: 4*(r - 17)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -3\/2 (c) 17 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85.2 + -85. Let b = -1264 + 192129\/152. Let z = 451\/760 + b. Which is smaller: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 - v**2 - 188*v**3 - 2*v**2 + 4*v**2.\nAnswer: -188*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o**2 + o + 1. Let f be x(-1). Suppose 0 = 6*n - f*n + 126. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 + (1 - 1) - 3050\/(-366). Which is the nearest to 1? (a) -0.658 (b) 3\/4 (c) v (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 231379 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*s + 3241 - 1707 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 11:20 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4793?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*m + 2*m. Suppose -4*k + 29 = -m*k. Suppose -6 = -3*t - 2*z, 5*t + 0*z = 3*z + k. Solve 5*u - 4*u - 3 = -t*h, -4*h + 18 = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-24)*m)\/(m**(-21)*m)*m**20\/m**(1\/15) assuming m is positive.\nAnswer: m**(284\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-11) - (-224)\/22. Let v(i) = 72*i - 2701. Let z be v(38). What is the greatest common divisor of m and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + s - 4*s)*(-37 - 36 - 8) + 0*s + 0*s - 3*s + 42*s - 32*s + 11*s.\nAnswer: 180*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h - 12 = -36. Let a(t) be the first derivative of 0*t + 0*t**3 - 1\/24*t**6 + 0*t**h - 1\/16*t**4 - 1\/10*t**5 - 6. Determine c so that a(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (108\/8)\/(-9)*40. Let p be o\/25*(-5)\/2. Let n(z) = p*z**2 + z**3 + z + z - 2*z**2 + 0*z**2 + 2. What is n(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 11\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -3. Suppose -u + 6 = y. Suppose -u*l - 4*k + 1 = -0*k, -3*l + k = 13. Is -3 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346141?\nAnswer: 346141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-282*z + 2 + 395*z + 301*z)*(-2 + 2 + z**4).\nAnswer: 414*z**5 + 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*6*(4*sqrt(190) - sqrt(190)))\/(2*((sqrt(10) - sqrt(80)\/sqrt(8)*-4) + sqrt(10) + sqrt(10) + sqrt(10) - sqrt(10))*3).\nAnswer: 6*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8 - 1 - 9*s + 6 + 10. Let w(f) = -f + 1. Calculate a(h) - 6*w(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12021022 - -1010120?\nAnswer: -11010202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 240414, 3, -7 in decreasing order.\nAnswer: 240414, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -2*i - 2*p, 93 + 202 = 4*i + p. Is 25 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130 and 14066?\nAnswer: 70330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 198?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5588.\nAnswer: 2, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9616 - -307611\/32. What is the common denominator of -25\/48 and j?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 5, r: 15}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 145.8743 centuries?\nAnswer: 14587.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -177434 * -5\nAnswer: 887170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000099223 to seven decimal places.\nAnswer: 0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqqtmrrtrrkq. What is prob of picking 2 r and 1 m?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 1\/3*h**3 - 1\/4*h**4 + 2*h + 2*h**2 - 70. Determine x(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 118\/((-4)\/(-4)) - -4. Suppose 3*u = 15, 0*a - 2*a - 4*u + i = 0. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12, -66, -204, -468, -900, -1542, -2436, -3624?\n\"Answer: -7*g**3 - 5*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 5)*(-1 - 13 + 5)*(2*i**2 + 0*i**2 - 4*i**2).\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 379 + -372. What is the nearest to 3\/4 in 0.2, p, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*sqrt(200) - (-3 + sqrt(200))*1)**2.\nAnswer: -660*sqrt(2) + 24209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -2546337829.36.\nAnswer: -2546337829.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 349 + -345. Solve x*n - 2 + 9 = 3*v, 7 = 5*v - 2*n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/u**(5\/8)))\/u)\/(((u*u**(-10)\/u)\/u)\/u) assuming u is positive.\nAnswer: u**(101\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 4805782678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -251507915, -251507916, -251507917, -251507918?\n\"Answer: -p - 251507914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9327320 and -4?\nAnswer: -37309280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 398952 and 295956.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -930 + 935. Suppose -5*d - n*v + 9*v + 7569 = 0, 5*d - 7601 = -4*v. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38144163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 30714.29kg?\nAnswer: 30714290000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -129\/14? (a) 10\/9 (b) -2\/15 (c) 0.4 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1.3 (b) 5\/3 (c) 0.036 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p - 112. Suppose 1 = h - 10. Let w(z) = 14*z + 336. Let x(r) = h*m(r) + 4*w(r). Let j be x(0). What is the greatest common divisor of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15171, -15270, -15367, -15462, -15555, -15646?\n\"Answer: m**2 - 102*m - 15070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 932 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/8 (b) -5 (c) 4\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 50\/18 + 6\/27. Suppose 2 = -t*n + 2*z, n + 4*n - z - 6 = 0. Let v(q) = -q**2 + q. Let p be v(1). Solve p = -2*j - n*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (35\/20)\/((-2)\/40). Let b = -20 - c. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*b + 29*b = -4*z + 13, 3*b - 15 = -4*z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1482 - 918. Suppose -394 - f = -2*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-1)\/2)\/((-1)\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a + 37. Let i be d(-7). What is the third derivative of -3*c**2 + 2*c**4 - 13*c**2 + 32*c**i - 3*c**4 wrt c?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30711 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -6 (c) 0.689 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 107583776 divided by -9313\nAnswer: -11552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-4 - 6\/(-2)). Suppose 0 = 2*y - u - 5. Suppose -o - 3*s + 10 = -1, 7 = -y*o - s. Put 2, o, 0 in descending order.\nAnswer: 2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 60, 84, 110, 138, 168, 200?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 49 - 2*u - 11\/6*u**3 + 5\/12*u**4 + 21*u**2. What is the first derivative of p(t) wrt t?\nAnswer: 10*t - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101111011 (base 2) in base 12?\nAnswer: -277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1 = -o, 2*p - 5*p + 21 = 3*o. Let d(g) = -g**3 + 10*g**2 + g - 8. Let h be d(10). Factor p*w**2 - 4*w**2 - 2 + 4*w**h.\nAnswer: 2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 divided by -38625.\nAnswer: 82\/38625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 12:50 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1211168.24 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421647997?\nAnswer: 131, 337, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 divided by -31?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15 - 2)\/((-3)\/12) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27.8 + 28. Which is the third biggest value? (a) n (b) -117 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -3, -2, -5 in descending order.\nAnswer: -2, -3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10257 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2134141111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 5. Let w be l(3). Suppose 2*s + w*r - 3*r - 4 = 0, -5*s + r + 13 = 0. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b + 10. Give j(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4*j = 12, -2*k - 132 = 6*j - 128 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-823 - -870) + 1 + -34 + 1 + -116?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2*c - 68 = 0, -1887*f + 1886*f - c = 19 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + 3464255*v**2 + 62356833*v + 280606113.\nAnswer: -(v - 3464273)*(v + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 1008.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 5:25 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (-8 - -10)) + -12 + -2 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 586979 > 33\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, 4, 1, 6 in decreasing order.\nAnswer: 6, 4, 1, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-10)\/l)\/(l\/l**6))\/(l*l**(-2)*l**(-6)*l) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*p - 4*p + 616, 0 = -3*p - 5*s + 926. Let i be (p\/1900)\/((-67)\/3835). Let l = i + -1\/1273. Find the common denominator of l and -15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 14*t**2 + 91*t. Let w(y) = y**2 + 6*y + 2*y**2 + 0*y**2 - 2*y**2. Let a(b) = -9*b + 474. Let j be a(52). What is j*s(l) - 91*w(l)?\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2. Differentiate 1 - n + 3*q + 3 - q with respect to q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3250)\/(-390))\/((-5)\/(-6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 60025.35 litres?\nAnswer: 60025350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9818 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.8 + 7.734. Let m = n - -1.866. Which is the closest to 0.1? (a) 0.4 (b) m (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/66)\/(9\/(189\/7))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from onffyqykk. What is prob of picking 1 o, 2 f, and 1 k?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (3 - (-6 - 30\/(-6))). Let 1\/4*d**j + 3\/2*d + 9\/4 = 0. Calculate d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58797 divided by -19599.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -1. Let m be (2\/10)\/(344\/(-184)). Let x = m - 4\/43. Which is the nearest to 1\/2? (a) 2 (b) x (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 2*p + 39. Let o be z(6). Suppose 14*i + 3540 = o*i. Suppose 5*u - 175 = i. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228711?\nAnswer: 3, 7, 10891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18166*c - 21*c**3 + 18166*c + (2*c + 2*c - 6*c)*(0*c**2 - 3*c**2 + c**2).\nAnswer: -17*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18605*l**5 + 20435*l**4 + 184175*l**3 + 130585*l**2 - 14190*l + 360 = 0. Calculate l.\nAnswer: -2, -1, 3\/61, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*c = -37630, -3*a + 3*c - 37626 = a. Calculate the common denominator of (a\/(-230))\/9 + -3 and -37\/16.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9736312 by 212.\nAnswer: -45926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-85)\/(-4) + 8\/(-32). Suppose 2*n - 12 = 2*b, n + k = -b - 3*n. Is (-32)\/(-144) - 4255\/b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 - 1.39. What is m rounded to two dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**7\/2520 + a**5\/40 + a**4\/4 + 5*a**2. Let r(j) be the second derivative of h(j). Determine r(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 5544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 56 + 1a85?\nAnswer: 1b0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 6*y - 2 + y**2 + 2*y**3 + 8*y + 0 in the form t*y + l*y**2 + c*y**3 + b and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eaax when four letters picked without replacement from avhvavvvauevx?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -4, 1, -8 in increasing order.\nAnswer: -8, -4, 1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24024 and 30360.\nAnswer: 2762760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 10*w**3 + 38*w**2 - 44*w - 58. Let h(z) = -13*z**3 - 39*z**2 + 46*z + 60. Let o(s) = 4*a(s) + 3*h(s). Determine o(-36).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 55\/(-15)*(0 - 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -5*v + 3*v - 16, 5*v + 15 = -5*z. Let g be 2 - (1 - (v + -1)). Let d be 2\/(-4)*0\/g. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*o + 35 = 0, l - o + 70 = 3*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2 + 10*z - 2 + 3 - 1. What is the lowest common multiple of 4 and d(2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5*l - 20 = 0. Suppose 1180 + 130 = 5*h + a, 2*a - 1054 = -l*h. Let z be 12\/h*(-12)\/8. Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -73404*m**3 - 2*m**2 + 47*m - 83431504 wrt m.\nAnswer: -220212*m**2 - 4*m + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 136*f**2 + 119*f + 119. Let b(r) = r**2 + r + 1. Let a(m) = -238*b(m) + 2*w(m). Calculate the remainder when a(1) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-2353)\/(-724))\/(1\/16) and 208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212895, 212854, 212813, 212772, 212731?\nAnswer: 212690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 146*z**3 - z**2 + 2*z - 5. Let j be l(2). Suppose 2*q + 5*i - 1730 = -587, -j = -2*q - i. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 104 (b) 0.1 (c) -2 (d) 7 (e) -15005\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -19?\nAnswer: 1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1730031*z - 1730061*z - 7 + 5.\nAnswer: -30*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(sqrt(48)\/(sqrt(12) - sqrt(972))))**2 - ((1*(1 + sqrt(2)))**2 - (sqrt(18) + -2)).\nAnswer: sqrt(2) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21022212 + 1200?\nAnswer: 21101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -20*l - 47. Let m(q) = 13*q + 31. Let t(v) = -8*m(v) - 5*u(v). Let w be t(-5). Find p such that -3 + 4*p**3 + 5 - 3 + 2*p + w*p**2 = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(-13\/2)*q**(3\/2)*q**1\/q assuming q is positive.\nAnswer: q**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 5282 + 5272 - 10554.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, f: 1, e: 1, w: 2}. Give prob of sequence efo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i - 3 = 0. Suppose -w - 1 = z + i, 3*w = 3*z - 18. Let o = -16 - -10. Which is bigger: o or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hghghxxxhhmm. Give prob of picking 2 m.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.92 rounded to zero dps?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**2 - a + 1. Suppose -13 = -5*o - 8*o. Let f(r) = 2*r**2. Let d be f(-1). Let l(h) = 2*h**2 + 0*h**d - h**2. Give o*c(g) + 3*l(g).\nAnswer: -2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-8) + 503\/(-4). Let q = -107 + 28. Let c = q - u. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43032\/1169 less than -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 36, -2*r - 2*l = 25 - 49 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 5*v - 3*u - 15 = 0, 2*u + 32 = 5*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17285 = -140*a + 71885. What is the lowest common multiple of 1365 and a?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103671955 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 702546?\nAnswer: 2, 3, 13, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.327773 millennia to centuries.\nAnswer: 33.27773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by -13690.\nAnswer: 36\/6845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -43390.98 to the nearest one hundred.\nAnswer: -43400","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.024 and -0.017935.\nAnswer: 0.00043044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 j, and 1 t when three letters picked without replacement from cktftkttjkccc?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 1230110221223?\nAnswer: 1230110221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e + -1829?\nAnswer: -1848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16 - 10) + (5 - -3). Solve -13*l = -o - 38 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.051\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17509 - 6?\nAnswer: 17503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*u**3 - 1 + 1 + 96*u**3 + 95*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*n - 368*c + 363*c, 4*n + c - 33 = 0. Solve 0 = -2*s - n + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 2618314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1958.3 - -1862. Let u = 96 + t. Which is the fourth smallest value? (a) u (b) 4\/7 (c) 0.4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-7 - 0 - -5) + -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 4*g**3 + 0*g**3)*(-g**2 + 4*g - 4*g) - 4*g**5 + 4*g**5 + 3*g**5 + (-2*g**2 - 3 + 3)*(-34601*g + 34601*g - 200*g**3).\nAnswer: 405*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(2\/15)*j)\/(j\/((j\/j**(2\/5)*j*j)\/j)))\/(j\/(j*j**(1\/4)*j)*j)**(-25))**(-1\/26))**(-3\/4) assuming j is positive.\nAnswer: j**(-271\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 72 and 30?\nAnswer: 2160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -870\/293 (b) 6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 30*j - 1012. Let h(d) = -10*d + 307. Let n(f) = 3*a(f) + 10*h(f). What is n(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*k + 32 = 291*k - 5*y, 5*y + 26 = -3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 41 + 19 + -39 + (21 - -2)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**4\/17 + 850426*p**3\/17 - 850424*p**2\/17 = 0.\nAnswer: 0, 1, 425212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**8\/80640 - d**7\/3360 - d**6\/576 + 2*d**5\/15 + 16*d**2. Let i(l) be the third derivative of n(l). Factor i(j).\nAnswer: -(j + 1)*(j + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26256 and -14.748?\nAnswer: 387223.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -383, -867, -1545, -2417, -3483?\nAnswer: -4743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - b + 156. Suppose -6*p - 5*p = -9*p. Let o be n(p). What is the greatest common divisor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182 and 210665?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 15455625?\nAnswer: 2\/15455625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*i - 12 - 4, -5*r = -i - 40. Suppose j - 1 = -0, -r = -2*p - 2*j. Suppose -1114 + 322 = -p*d. Calculate the highest common divisor of d and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 + 450. Let s = z - 380.79. Round s to 1 dp.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 688 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.44 + 0.04. Let i = -1\/10 + -3\/20. Which is the nearest to i? (a) -2 (b) d (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/61, 622, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319813?\nAnswer: 13, 73, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 2:20 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 9*k - 3. Let t be p(-8). Let u = 103 - 63. Let b = u - 17. Solve 2 = a, 0*a + 4*a = t*n + b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-6)*7\/21\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k**3 + 106*k**2 - 66*k**2 - 40*k**2.\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23, -109, -329, -637?\n\"Answer: -44*l**2 + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 3*r - 43, -5*r + 67 - 6 = 14*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 6.3881\nAnswer: -25.5524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 + 13*p**3 - 10 - 3*p**3 + 0*p**3 + 4*p**3 + (5*p - 5*p - p**3)*(-11 - 5 - 2).\nAnswer: 32*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from {x: 2, v: 7, r: 5, w: 5}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 17, 15, 913 in descending order.\nAnswer: 913, 17, 15, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - o**2 + o + 3. Suppose r = -3*r. Let g be u(r). Is 0 + 2 + (g - -314) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2001000222 (base 3) to base 14.\nAnswer: 1089b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 - -3 - 7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -1901*f - 179. Is n(-5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*d - 554 = -0*c, 0 = 2*c + 2*d - 224. Let a = -98 + c. What is the remainder when 18 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -9*z**2 - z - 4. Let m(a) = -10*a**2 - a - 5. Let w(u) = -4*m(u) + 5*v(u). Let h(p) = p**2. Let n = -9471 + 9470. Determine n*w(o) - 6*h(o).\nAnswer: -o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -29*y. Let v(f) = f**3 + 8*f**2 - 16*f + 41. Let b be v(-10). Give m(b).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m - 175 + 196 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320 (base 11) in base 14?\nAnswer: 8a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*z - 51*z - 2 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, y: 17}. Give prob of picking 1 q and 2 y.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2202979841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7523 (base 8) to base 14.\nAnswer: 1603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**2 + 114232*m + 228448 = 0.\nAnswer: -28556, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 5*f**3 - 12535*f**2 + 7862575*f - 7850045 = 0.\nAnswer: 1, 1253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -17*g**3\/7 + 5*g**2 + 121*g\/7 + 69\/7 = 0.\nAnswer: -1, 69\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -547297, -1094595, -1641893, -2189191, -2736489?\n\"Answer: -547298*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2\/9 + 39750704*u\/9 - 98757404280976\/9.\nAnswer: -4*(u - 4968838)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10282.\nAnswer: 2, 53, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -0.01, -0.4, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 15543444?\nAnswer: -15543451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**5\/4 + f**4\/6 + 3*f. What is the third derivative of v(g) wrt g?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10560.2 + 0.5?\nAnswer: 10560.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4908, 4511, 4112, 3711?\n\"Answer: -t**2 - 394*t + 5303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 7:03 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*w - 18 + 30 - 5*w**2 + 36 - 9*w - 9*w = 0.\nAnswer: -24, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2812 = 74*j. Is j a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -1\/7*q**3 + 3 + 1\/28*q**4 + 3\/14*q**2 - 1\/7*q. Factor k(s).\nAnswer: (s - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, -195, -840, -2095, -4164, -7251, -11560, -17295?\nAnswer: -24660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -9. Let v = 8 - u. What is the highest common factor of 9 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -16*v + 182. Determine c(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = 7*v + 126. Let i(j) = 3*j - 1. Let n be i(1). Solve -3*m = -n*w - 17, m = -2*m + 3*w + v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 596 + -52. Suppose -2*n = -2*r + n + a, 2*n = -5*r + 1379. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.4986?\nAnswer: 2.493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 0 + 7*c - 33 + 21. Give l(-5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6113*w - 2. Let a(m) = -915*m. Calculate t(a(o)).\nAnswer: 5593395*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1\/4, -3, -0.1, -87, 106?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**3 + 3*x - 3. Let p(a) = -2*a**2 + 4 + a**2 + a - 2. Let z be p(0). Is g(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000111010100011001 (base 2) to base 10.\nAnswer: 816409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/((d*d*d**1)\/d))\/d)\/d)\/((d*((d\/(d**(-2\/11)\/d))\/d)\/d)\/d))\/(d*d*d**1*d)**41 assuming d is positive.\nAnswer: d**(-1839\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8*((-1974)\/3008)\/(6\/8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(2*sqrt(198) + sqrt(198)))\/sqrt(9))\/(6*(sqrt(44)*6)\/sqrt(4)) + 0)*6.\nAnswer: -5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3896 and 685696.\nAnswer: 685696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + -1)*4\/6. Let g = 26 - b. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 15 + 19 = 4*l, 3*l = f + 1. Suppose 5*w = 7*w - 46. Let m = w - f. What is the smallest common multiple of m and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2792 + -2445. What is the remainder when b is divided by (150\/(-12))\/((-2)\/4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48327*-1.8\nAnswer: 86988.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1012, 5, -2, -1281 in ascending order.\nAnswer: -1281, -1012, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 - 34. Let q be (-8)\/m + (-21)\/(-2). Solve -4*h - q = 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -34\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30009*h**2 + 881*h - 2.\nAnswer: -60018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 27*t + 123. Calculate a(31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**4\/40 - k**3\/30 - k**2\/10 + 17. Determine d so that v(d) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*u**2 - 38*u**2 + 18*u**2.\nAnswer: -69*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2023343942 to the power of 1\/3, to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*i**4 + 0*i - 2 + 2*i + 30*i**4 - 28*i**2 to the form h + j*i**2 + a*i + x*i**3 + v*i**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiliiuuinliiuuiuln. What is prob of picking 2 n?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 905 divided by -5.\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*j + 184 - 499 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -8 (b) -9 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g - 1. Let t be q(-2). Let i(u) = u - 4. Suppose -2*s + 4*s + 2*v = 0, 5*s - v - 24 = 0. Let x be i(s). Solve x*w + t*w + 3 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6182 and 2530.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**5 - 5*q**5 + 3*q**5 + (464 + 662*q**4 - 464)*(6*q - 4*q - q).\nAnswer: 663*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1458 - 2*x**3 + 2*x + 1458 - 35*x**2 + 7*x - 8*x to the form k*x**2 + y*x + p*x**3 + v and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2. Let h be (1\/3)\/((-5)\/(-15)). Let f be w(h). Let i(y) = -f + y**2 - 1 + 2 + y. Let g(v) = v**3 - 3*v**2 - 4*v. What is g(b) + 2*i(b)?\nAnswer: b**3 - b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 54 - 7*s + 0*s + 4 - 115. Let j be a(-8). Sort 0, -5, j in descending order.\nAnswer: 0, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s**3 - 16*s**3 + s**2 + 30*s**3.\nAnswer: -2*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619329750?\nAnswer: 2, 3, 5, 13, 63521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 14. Let t(q) = -1. Let i(g) = f(g) + 2*t(g). Give i(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -43. Suppose 0 = -4*g + y + 54, 3*g - 32 = -q*y + 7*y. Calculate the lowest common multiple of 8 and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101359*j**4 - 323*j**2 + 29*j wrt j?\nAnswer: -2432616*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-8) + -2 - 177\/(-4). Let i = q - 129. Let j be ((-3)\/(-5))\/(17\/i) + 3. Let s(c) = c - 1. Determine s(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 4*d + 2 = 3, -8 = 2*d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 20250 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.35 in -2, -8, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4239570, -8479182, -12718794, -16958406, -21198018, -25437630?\n\"Answer: -4239612*q + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - -33?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -199, -253, -349, -487, -667, -889?\n\"Answer: -21*q**2 + 9*q - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 3*c - t, 6*c - 45 = 2*c + 5*t. Let k be (-1 - 3)*(-42)\/4. Suppose 17 - k = -5*d. Solve -2*g = g - 5*a + c, -4*g = d*a + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*3.8\nAnswer: 1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*b + 23 - 24 = -137. What is the greatest common divisor of b and 716?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 24bc0 (base 14) to base 9\nAnswer: 146566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -2. Find the common denominator of 109\/(-12) - j\/8 and 13\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, d: 4, o: 10}. Give prob of sequence dot.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s\/s**15)\/s)\/s)\/s**(-17))\/(s**(-2))**(2\/7) assuming s is positive.\nAnswer: s**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 5. Suppose 3*z - 5*x + 0 - 11 = 0, -z + 2*x = -4. Suppose o + 4*j - 2 = 2, z*o + 5*j = 8. Calculate u(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 2*u = -45. Let y be -1 + 3 - 1*-217. Suppose 2*i + i = -d + 213, 0 = 3*i - d - y. Calculate the highest common divisor of i and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -771*l - 433*l = -26488 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 127. Suppose 5*f = -25, -2*i + 73 = 2*i - 5*f. What is the highest common divisor of o and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 - 42. Let q = 365 - 581. Let n = q + 224. Calculate the smallest common multiple of n and i.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 7238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14196*-2.34.\nAnswer: -33218.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 17*p**2 + 8*p + 7. What is the units digit of h(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7806750 divided by -1301125.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2 - (-11)\/5) + 227\/90 and -31\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -108 - -207. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 4*d**2 + 6*d - 5. Let p be u(8). Let m = 2401\/8 - p. What is the common denominator of m and ((-2)\/(-8))\/(11\/(-231))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190600 rounded to the nearest 10000?\nAnswer: 1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 6*i + 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 23 - 6*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1845 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 4*d - 2 + 5. Let c(b) = -5*b - 5. Let r be (-16)\/(-10)*15\/6. What is r*c(v) + 7*f(v)?\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 501199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + -11 + 9 - -13\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(72) + sqrt(18))**2.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 52480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 210929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7683294.\nAnswer: 2, 3, 1280549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/690*-790 + 4\/1 + 29\/(-6).\nAnswer: 51\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -10. Suppose 0 = f*w - 7*w. Let l = 1586\/939 - 7\/313. Which is the closest to w? (a) l (b) -1\/6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(34)\/sqrt(2)*2)**2.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 921448635?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 1:39 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a hour in seconds?\nAnswer: 45900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 451414339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -10. Let p(z) = z - 13 - 6*z + 12*z. What is the lowest common multiple of p(3) and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22.8? (a) -0.34 (b) 0.1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/(-147))\/(10\/210). Solve 0 = 19*d - 17*d + q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11921 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17110322?\nAnswer: 2, 929, 9209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33845 - -447?\nAnswer: 34403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -883, -189, 985, 2639?\n\"Answer: 240*r**2 - 26*r - 1097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 5*d**2 - 3*d - 14. Let f be m(6). Suppose 48 - 16 = f*w. Let z = 18 + -10. Calculate the smallest common multiple of z and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1793865045?\nAnswer: 3, 5, 7, 1531, 11159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 - 1) - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2 = f + 11, -2*f - 2*x - 2 = 0. Suppose -f*m + 13 = -8. Put m, -1, 5 in decreasing order.\nAnswer: m, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2036*0.575.\nAnswer: 1170.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/18)\/(357\/10710)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -842 * 636606\nAnswer: -536022252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18632, -37217, -55908, -74759, -93824?\n\"Answer: -9*p**3 + p**2 - 18525*p - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pstszzsqzpzj. Give prob of sequence pqsj.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 15*n + 17. Let p(h) = -29*h - 34. Let g(k) = 7*a(k) + 4*p(k). Differentiate g(s) with respect to s.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204\/(-51)*(-84)\/(-24)*(-12)\/(-280)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 107, 14 in descending order.\nAnswer: 107, 14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -7 + 14 - -31 - (15 + -10).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46366 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) -1\/4 (c) 4 (d) -61 (e) 823\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 14, -7\/8, -0.39, -5, -0.5?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 12*k**2 - 2*k. Let l(i) = -i. What is 2*l(d) - w(d)?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -772 (base 13) in base 15?\nAnswer: -5a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1570 + -31417\/20. Calculate the common denominator of w and 133\/(-21) + (-5)\/2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22\/(-143) - ((-124704)\/52 + -3). Round g to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-9))\/((-4)\/36). Put -5, 5, 8, u in increasing order.\nAnswer: -5, u, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 294\/191351 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 11*g + 24. Let w be b(12). Suppose 3*d - 10 = -2*d - h, -5*h = -3*d + 34. What is the greatest common divisor of w and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3117 = 2*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -658 * -5.\nAnswer: 3290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26.00000345 - 26. Round l to seven dps.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 1\/11, -5\/3, 1\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*82\nAnswer: 24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.049, 0.2, -2340\/19, -0.05?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-188500)\/(-79750)*(-22)\/4\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (10 + (68 - -6))*6\/9 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -409, -789, -1831, -3871, -7245, -12289, -19339, -28731?\nAnswer: -40801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, w: 1, m: 2, r: 2}. What is prob of sequence lw?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2 + 28*z**3 + z - 29*z**3 + 1. Let a(g) = -4*g**3 + 17*g**2 - 20*g - 17. Let x(y) = a(y) - 3*b(y). What are the prime factors of x(15)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 2*j + 25, 2 = -3*j + 17. Let g = 9 - o. Suppose 8 - 7*h**3 + 5*h**2 - 8 + g*h = 0. What is h?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxdi when four letters picked without replacement from {f: 1, d: 1, s: 1, x: 2, i: 1, c: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 10 + 6)*(9*t + 6 - 6).\nAnswer: -81*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 4:58 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.40747 and -3598 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(264)*2 - sqrt(264))\/sqrt(8))\/(sqrt(11) + (-2*sqrt(132))\/sqrt(12)) - (sqrt(15) + (sqrt(15) + sqrt(90)\/sqrt(6))*6)\/(2*sqrt(245) + sqrt(5)).\nAnswer: -28*sqrt(3)\/15 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 + 13 - 11 + 2*y + 43*y**2 to i*y + u*y**2 + z and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/5 - 4\/(-10). Let a(f) = 2*f**2 + 4*f + 6. Let q(o) = -2 + 3 - 2*o + 3*o. Let h(p) = r*q(p) + a(p). What is the first derivative of h(n) wrt n?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 5:36 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -9. Let o(s) = s**3 - s**2 - 3*s - 4. Let y be o(f). Sort y, -2, 4 in decreasing order.\nAnswer: y, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 2*u + 12 = 0, u - 12 = 24*g - 20*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5 = -0. Let x be n*(-15)\/(-6 + 3). Solve 3*d + p = -2*d + x, 4*d = 4*p + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(28) + 0 + -5))**2.\nAnswer: -500*sqrt(7) + 1325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f - 13. Let n be x(4). Let g be 2 + 16*7\/(-2). Let p be 3*(1\/(-2) + (-45)\/g). Solve n = -2*u - p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a week in seconds?\nAnswer: 45360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 844796\/7 - 120680. Solve a + 3*f + 3\/7*f**2 = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-20))\/((-11)\/22). Let o = 10 - 4. Suppose 0 = 4*x + o - 2. Which is the nearest to x? (a) 2 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/9)\/((-597)\/9). Let v = l + -392\/597. Which is the second biggest value? (a) -1\/4 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2) + (-2)\/4. Let y be (1 + r)*(-20 + 22). Solve 0 = -y*v - 0 - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1838 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, k: 6}. What is prob of sequence dd?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2960*f + 2960*f + 4*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 7*u - 8. Suppose j + u*j = 972. Suppose j + 66 = 5*m. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*7 - (-10 + 10). Let z = v + -31. Sort -2, z, 5 in decreasing order.\nAnswer: 5, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = -4*h - 297. What is the remainder when 134 is divided by (-3)\/(2 - 5) + 3 + h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50348 - 68755 = -559*p + 8908. Solve 19*z + p = 77 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1*10*(-9)\/(-180)*84\/156\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (6 - -2)) + (0 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -6. Sort o, -10, 0.5.\nAnswer: -10, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -120*w**3 + 2*w**2 + 2*w + 1. What is the hundreds digit of z(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = -4*r + 4*c - 44, 3*c = 0. Is 2\/r + 9292\/44 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t = 25. Let d(h) = 3*h + 1. Let g(p) = -12*p - 5. Let f(o) = -22*d(o) - 6*g(o). Calculate the remainder when f(11) is divided by t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 262*s - 12191. Calculate l(46).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12173*g + 2*g**2 - 36517*g + 3*g**2 + 12122*g + 12134*g.\nAnswer: 5*g**2 - 88*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 213 + 1615?\nAnswer: 1828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2668 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6399 = -52*z + 6711 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/13 + 909253548\/(-546). Round t to the nearest ten thousand.\nAnswer: -1670000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76903779?\nAnswer: 3, 3671, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 48 = 552. Suppose 0 = -4*q - q - j. Let l = q - -95. Does 35 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h**3 + 1116636*h**2 + 6979576*h + 1675104 = 0. Calculate h.\nAnswer: -6, -1\/4, 69796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q**2 - 17*q - 31. Determine h(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wusumlwnl. What is prob of picking 1 m, 1 n, and 2 w?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = 708 + 1686. Let x = 798 + f. List the prime factors of x.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -15*g + 4 - 3 - 1. Let m be 72 - -4 - (5 + -8). Let u(b) = 5*b**2 - 3*b**2 + 79 - m. What is p(u(a))?\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1*1\/3). Let y = b + 5. Calculate the greatest common divisor of 88 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**5 + 485605171*l**3 - 1473*l - 20889?\nAnswer: -20*l**3 + 2913631026*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5898.397 litres in millilitres?\nAnswer: 5898397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2445 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/(-67))\/(90\/(-20)). Let t = 3119\/603 + h. Find the common denominator of -41\/12 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/12*-1 - (-10)\/240*1086. Solve -30 + y = 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 36. Suppose 4*j = -5*d + 101, -2*d = d - s. Let m = -4 + 41. Calculate the remainder when m is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.218942104 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 231.26222 - 231.3. What is w rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 + 47. Suppose 4*s - m*v = 169 - 31, -s + v = -33. Calculate the remainder when 106 is divided by s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 3:39 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 - -4 - 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*n + 4*n - 5*n)*(-1 + 3 - 4) + n - 4*n + n + 9*n - 2*n + 3*n)*(-2*n - 3*n + 100 + 2*n + 2*n).\nAnswer: -4*n**2 + 400*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 28 = -4*f - 6, -3*f + 3*q = -15. Let p(l) be the first derivative of 0*l**f - 3 - 5\/4*l**4 - 4*l + 0*l**2. Differentiate p(y) wrt y.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*c - 31. Let m(h) = h - 7. Let s be m(3). Calculate the least common multiple of c and 5\/((-18)\/(-24) + (-1)\/s).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 1 = -12*n. What is the lowest common multiple of 25 and n - ((-46)\/2 + -4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*b + 4192, 16*b - 15*b - 3*c = 2118. 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: -1101101110110001111110 (base 2) to base 9\nAnswer: -6685508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 643*d**2 + 42113*d**3 - 643*d**2 + 0*d + 0*d.\nAnswer: 42113*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 - 2046*p - 10274. Determine u(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/3)\/c**(7\/5))\/(c**(1\/5)\/c*c\/(c**(1\/23)\/c)) assuming c is positive.\nAnswer: c**(-422\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 1:19 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -214016288 divided by 4336\nAnswer: -49358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*u + 4 = 0, -16 = -2*r - 3*u - 2*u. Let j = -6 - -3. Which is the smallest value? (a) -0.3 (b) j (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2*y**(5\/3))\/(y**(2\/7)\/(y\/y**8)) assuming y is positive.\nAnswer: y**(-76\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52350 (base 6) in base 11?\nAnswer: 532a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17362 - -2?\nAnswer: 17364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13*(-1 - (5 - 10)). Suppose 4*q = -2*z + 56, -4*z - s = -4*q - 8*z. Calculate the greatest common factor of q and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 2)*(2 + 1 - 1)*(-9 + 9 + 6*n) + 2*n + 3*n - 2*n + (-4*n + 2*n + 4*n)*(-2 - 3 + 4) - 4*n - n + 4*n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83 and 82253?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 + -0.5. Let g = 13.6 - 14. Which is the third biggest value? (a) o (b) -3\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 4:54 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 176\/(-192) - ((-2)\/6)\/(-1). Let z = 1.06 + -0.3. What is the third smallest value in z, -1\/10, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 35907459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5)*k*k\/(k\/k**(1\/6)))\/(k**1*k**(-1\/12)) assuming k is positive.\nAnswer: k**(13\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6*o**2 + 10*o - 61. Let f(g) = 3*g**2 + 6*g - 31. Let r(q) = 5*f(q) - 3*y(q). Let i(p) be the first derivative of r(p). Let l(u) = 8*u. Give i(l(s)).\nAnswer: -48*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 90, -1, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 637*a + 62*a - 4 + 10 - 10. Suppose 4*x = x - 12. Let q be j(x). What is q rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1206, 1\/4, -80.2 in decreasing order.\nAnswer: 1206, 3, 1\/4, -80.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*s - 477 = -78*s + 1323 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-14))\/(75*(-21)\/(-12250))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189199 is divided by 494?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w - 6. Is 18 a factor of z(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-843)\/(-126) - (-4)\/6 and (-6 + 186\/36)*329\/210?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 104\/5*v**3 - 72\/5*v**2 - 36\/5*v**4 - 108\/5*v + 4\/5*v**5 + 108\/5.\nAnswer: 4*(v - 3)**3*(v - 1)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 5:07 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 99105771 or 693740395\/7?\nAnswer: 99105771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 47*f - 7*f**3 - 57*f + 87*f in the form j*f + g*f**3 + d + n*f**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 4*i**3 - 3*i**3 + (-i**2 - 1 + 1)*(-1 - i + 1) + 4 - 4 - 2*i**3 - 23*i**3 - 13*i + 11*i + 59*i**3.\nAnswer: 34*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46913390, -2\/11, 2 in decreasing order.\nAnswer: 2, -2\/11, -46913390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/q**(-2))\/q)**(4\/15))**(-14)*((((q**(1\/4)*q)\/q)\/q*q*q*q*q)\/q)**(-11\/3)*(q*q**(-2\/5)*q)**(-16) assuming q is positive.\nAnswer: q**(-901\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96688357 to the nearest integer?\nAnswer: 9833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 2*p + 10 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -20, -q + 1875*u - 1880*u = -15 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42226, -42211, -42196, -42181, -42166, -42151?\nAnswer: -42136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 1082*s**2 - 2253*s + 21. Calculate z(2).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 47 = 3*q + 8, 2*h + 3 = 5*q. Suppose -j = -4*j + h. Solve j*v = s - 3*v - 2, v = -3*s + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*2\/(-8)*-2. Let y be ((-3)\/(-9))\/(z - -2). Let f = 0.4 - 0.3. Which is the nearest to f? (a) 4 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 134841704 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-103)\/15) + 1\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 5 = -2*g, 4*i - 8*g - 40 = -4*g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(4\/10)*(-12)\/(-24).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0661*-0.5.\nAnswer: -0.03305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-285)\/(-1140))\/(46\/16)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, 63, 229, 557, 1101, 1915?\n\"Answer: 9*f**3 - 5*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 260*h - 707*h - 17433 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -582, -504, -374, -192?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(4\/(35 + -3)). Suppose 0 = -2*d, x - 2*d = 2 + 1. Suppose -n = k - x*k. Solve -q + 3*r + 4 = q, -k*r + 8 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j - 5*j + 3*j**3 + 2*j**3 - 4*j**3 + 0*j**3 + (2*j**2 - 2*j**2 - 2*j**2)*(-2 + 2 + 2*j) + 4*j**3 - 2*j**3 + 0*j**3 - 2*j**3 + 5*j**3 - 4*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002379954 to 6 decimal places.\nAnswer: -0.00238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.8 - 174.8. Let l = r - -263. Let j = 91.9 - l. Round j to zero dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k**3 + 12*k**3 + 11*k**3 - 7112 + 8*k**3 - 46*k**3.\nAnswer: -3*k**3 - 7112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-5))\/((-6)\/(-40)). Let b(h) = -h**2 - 9*h - 3. Calculate the remainder when 22 is divided by b(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (0 - 3)\/((3\/(-502))\/(675\/270))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 738584 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a microgram in nanograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 13*w**2 - 321*w - 339. Let k(r) = -6*r**2 + 162*r + 170. Let i(f) = 5*k(f) + 2*m(f). Solve i(s) = 0.\nAnswer: -1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10 - 9)\/(1\/3). Let n = 7 - -23. Suppose 0*h + n = m*h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*x**5 - 144*x + 180*x**2 - 20*x**3 - 36*x**2 - 16*x**4 + 49*x**5.\nAnswer: 4*x*(x - 3)*(x - 2)**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125 (base 9) to base 4.\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*c - 454 = -299*c + 374 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92376 = -56*t + 91648 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 362*y**3 + 513*y**2?\nAnswer: 2172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 17*n**2 + 3*n + 47. Let l be o(-17). Let c(x) = -x**3 - 5*x**2 - x - 5. Give c(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -610 - 725*a + 304 + 306 + 104*a.\nAnswer: -621*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9409*b**2 - 1356*b**4 - 1738*b**4 - 18238*b**2 + 5623*b**2 wrt b.\nAnswer: -74256*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/28 and ((-2)\/56)\/(((-10)\/5)\/(-122)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 0 + 2*l - 13\/8*l**4 + 91\/30*l**5 - 62*l**2 + 0*l**3. Find the second derivative of g(q) wrt q.\nAnswer: 364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-21) + 8\/3. Suppose -2*p - 2*x = x + 5, v*p - 3 = 5*x. What is the closest to -1 in p, -0.5, 4\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-85)\/(-425)*5\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -203\/3080880 and -73\/330.\nAnswer: 3080880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p = 3*p - 31560. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -65*c + 65642 - 65642. Let b(s) = -s. Determine k(b(i)).\nAnswer: 65*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 13.4. Let o be (-2)\/(-6)*(-1)\/(-2). Suppose u - 9 = d - 5*d, 5*d = -3*u + 20. Which is the third smallest value? (a) n (b) d (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4793 - 4019. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119183 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -377 + 1070. List the prime factors of t.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94644\/(-72)*3636\/(-99)?\nAnswer: 2, 101, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u - 4. Let c be 6\/(-4)*(-7 + 5). Let s(n) = -3*n**3 - 2*n**2 + n. Let k be s(1). Let j(h) = 2*h - 3. Determine c*i(z) + k*j(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (2 - (-6 + 9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2.7 (b) 0.07 (c) 604.93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/6288 and -109\/4060.\nAnswer: 6382320","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: -32.9 - -624.09\nAnswer: 591.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-92169)\/168 - 1\/(8\/3). Let y = n + 4371\/8. Are -2 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.67296 + 134.18804. Let w = o + -133. Let q = -0.201 + w. Round q to one decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 412, 1925, 4822, 9409, 15992, 24877?\n\"Answer: 51*p**3 + 386*p**2 - 2*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 5*r - 224 - 36 = 0, 32 = z + r for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) -3 (c) 98 (d) -2\/9 (e) 126\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4701566 rounded to the nearest one thousand?\nAnswer: 4702000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 12, r - 4*r = 5*d - 29. Suppose 0 = 4*x - 108 - 24. Calculate the greatest common divisor of r and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1126 + -1125.9. Which is the closest to -0.1? (a) -1\/5 (b) -1\/2 (c) 3\/5 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1057, -1075, -1095, -1117, -1141, -1167, -1195?\nAnswer: -1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaa. What is prob of picking 4 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 6*v - 14. Let h be 2\/7 - 58\/7. Let l = -13 - h. Sort l, 2, v.\nAnswer: v, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - -20?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 9*o**6 - 2*o**5 - o**2 - 39. Let r(v) = 36*v**6 - 9*v**5 - 5*v**2 - 157. Let x(m) = -2*r(m) + 9*y(m). Find the third derivative of x(q) wrt q.\nAnswer: 1080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -340*h**4\/3 - 1396*h. Let x(d) = -2*d. Give r(x(f)).\nAnswer: -5440*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 596*b**5 - 416*b wrt b.\nAnswer: 11920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*y + 1. Suppose 0 = -6*d + y*d - 6. Is (33\/(-6) - 0)*d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 138028.714 + -137700. Let y = -329 + j. What is y rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8767736 is divided by 1749.\nAnswer: 1748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-480)\/(-156))\/(14\/15). Let u = -22\/7 + s. Let p = 12 - 17. What is the smallest value in u, p, 2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 19*l - 46. Let m be c(6). Suppose -m = 2*h - 72. Solve -7 = -3*f + h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 8*z**3\/3 - 1703. Let f(n) = -15*n**2. Determine f(x(u)).\nAnswer: -960*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13995036134 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-3 + -1 + 24 + -50).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000303 rounded to 6 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-830)*((-4)\/(-50))\/((-1486)\/(-92875)).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -47*k + 569. Let m be c(12). Solve -7*b + 10*b + 4*p + 23 = 0, m*p = -5*b - 30 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-4)\/((-24)\/(-78)). Suppose 52 = -u - 5*w, u + 3*w = -d - 40. Is -231\/4 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 14538*u**2 - 43621*u + 29082.\nAnswer: (u - 2)*(u - 1)*(u + 14541)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (8 - 981\/108)\/(((-60)\/55)\/2).\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 37 (b) 6.5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/2 and -14\/291.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 - 360 = -9*y. Suppose -y*b = -22*b - 90. Calculate the smallest common multiple of (-1 - 14)\/(-3 + 2) and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 160*h**2 + 5*h - 3. Let u be (-17)\/136 - (-9)\/8 - -4. Suppose 6*i + 14 = 3*i - 4*f, -3*i - u*f = 19. Is g(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*sqrt(605)*-2 + -1*sqrt(605)*-3 + -2)**2.\nAnswer: -1210*sqrt(5) + 73230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 12:25 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 21*c. Let z(w) = -5*w + 3. Let x(i) = 10*i - 5. Let l(t) = -6*x(t) - 10*z(t). Let k be 10 + (-3 - 12) - 8. Let a = 1 + -7. Give a*y(v) + k*l(v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 5) to base 2.\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f + 175. Let b(u) = -544*u. What is b(s(m))?\nAnswer: 3808*m - 95200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (16\/(-24))\/((-8)\/(-54)) and 97\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 2*j - 5*j**2 - 2*j**2 + (-3*j**2 + 4*j**2 + 0*j**2)*(-1 + 0 - 1) to z*j + h*j**2 + g and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1, -5, -3 in descending order.\nAnswer: 11, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -321 or 0?\nAnswer: -321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-8)\/(-10))\/2)\/((-10)\/(-100)). Let w be 3 + (-3 - (1 - 2)). What is the first derivative of 10 - 17 + w + 5 - y*b**4 wrt b?\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 - 3 - -2) + -2. Let o be (j\/(-16))\/(1\/(-44)). Let x(n) = -2*n + 3. Let f(m) = -10*m + 16. Give o*x(g) - 2*f(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + 228\/20 - 15\/(-25). Suppose -z*y - 4 = -18*y. Solve -2*k + 3*m + 2 + y = 0, -k + 2*m = -2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -11100011111?\nAnswer: -11100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-117)\/(-45) + (-6)\/(-15). Let q(m) = -m**2 - m - 1. Let j(i) = 4*i**2 + 5*i + 4. What is p*q(t) + j(t)?\nAnswer: t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2621 + -2559. Solve -3*w = z - 77 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 16*r**2 + 18*r - 42. Let f be g(-18). Suppose 7*y - 4*y = -f. Let x = 197 + y. List the prime factors of x.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2134*v + 40 = 2139*v, 5*x - 5*v = 10. Solve 0 = -5*g + x*p, 2*p + 0 = -g - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, r: 11}. What is prob of picking 3 w?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptp when three letters picked without replacement from {p: 5, t: 2, r: 4, i: 7}?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -746060*c**2*x**3 + 109770*c**2*x + c**2 - 5*x**2 wrt x.\nAnswer: -4476360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 2*u. Calculate l(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(2 + 0))\/((-366)\/7503 - (-720)\/23165)?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5216 + 2112487\/405. What is the common denominator of ((-13)\/(364\/21))\/(99\/(-320)) and f?\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/15 - 344*t\/5 - 19118\/3.\nAnswer: -2*(t + 121)*(t + 395)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -21*m**2 + 2*m - 1. Let v(z) = z**2 + 2*z - 2. Let p be v(-3). Give y(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1881724878.\nAnswer: 2, 3, 11, 59, 53693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1236019169 by -4306687.\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -935 (base 14) in base 8?\nAnswer: -3423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77492613 divided by -25830871.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 523\/6261 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 19517*r. Let p(c) = c**2. Give p(t(l)).\nAnswer: 380913289*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.61982 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(4*r - 21 + 3 - 2*r).\nAnswer: 4*r - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58485, 58454, 58405, 58338, 58253?\nAnswer: 58150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 15626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 3*h + 17, 5*y - h - 3*h + 29 = 0. Is -3 - y - (-6 - 0) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41249 - -42771. What is the smallest common multiple of r and 14?\nAnswer: 10654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1513 and 3355389.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6898420?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -383*o**3 + 3*o**2 - 3*o - 4. Let x be k(-1). Suppose 5*f = -5*r + x, -13*f + 14*f = 4*r + 102. Which is bigger: f or 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590503967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 16*b - 25. Let z be y(-5). Sort -18, 0, z, 1 in decreasing order.\nAnswer: z, 1, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 22. Let u be -2 + c + 141 + 1. Let k = -102 + u. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*r**2 + 4*r**3 + 0 + 0*r - 4\/3*r**4.\nAnswer: -4*r**2*(r - 2)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 + -4.8. Let n be (-1)\/(3\/2 - -1). Let t = -2 - -3. What is the biggest value in n, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/20 + (-3)\/(-5). Solve -1 = i + x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1383 is divided by 6\/(-10) + ((-1547371)\/245)\/(-23)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 19, 1358, -2, 0.04 in increasing order.\nAnswer: -2, -1, 0.04, 19, 1358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 160323870?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.8 + 7. Let w = -0.6 - 7.4. Which is the smallest value? (a) 3\/7 (b) w (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*i = 59, 2*n = n - 2*i + 23. Let g be -3 + 9\/(-18)*18\/(-1). Let w be (g\/(-4))\/(3 + 210\/(-68)). What is the highest common divisor of n and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 8*w + 4*w. Suppose -w*b + 268 = -2*l + 686, -417 = -2*l + 3*b. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2457.2*186.\nAnswer: 457039.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219889 is divided by 596.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19, 70, 151, 262?\n\"Answer: 15*l**2 + 6*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2656 - 2656 + 7*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6334558 millennia to centuries.\nAnswer: 6.334558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13 (b) -49\/323 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*a + 161*a + 135*a + 183*a - 755*a.\nAnswer: -102*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.7 + -0.145.\nAnswer: 19.555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 1, h: 1, v: 1, o: 2, e: 1}. What is prob of sequence oz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/13)*g**(4\/9)*(g**(2\/5))**35 assuming g is positive.\nAnswer: g**(1699\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-2\/9))*b)\/(b**(2\/15)*b))\/(b**(-2)*b**4) assuming b is positive.\nAnswer: b**(-106\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k + 4 = 0. Let g(j) = j**2 + 14*j - 14. Let h be g(-15). Let u be h\/(k - 15800001\/15800000). Round u to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2477 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -6. Let a be (2\/3)\/((-1)\/f). Is a equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 8:26 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -10*m**3 + 20*m**2 + 3*m + 3. Let l(n) = -9*n**3 + 20*n**2 + 2*n + 2. Let g(s) = 2*b(s) - 3*l(s). What is the third derivative of g(r) wrt r?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 211 + -250. Let j = c + 102. What is the smallest common multiple of j and 12?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + -1 - (0 + sqrt(2448))) + sqrt(51)\/(-1*sqrt(3)*6))**2.\nAnswer: sqrt(17)\/3 + 53\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**2 - 3*l + 1. Let r(x) = -9*x**2 + 7*x - 1. Let y(z) = -6*r(z) - 11*t(z). Is y(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a decade in years?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*k**4 - 4*k**2 + 3*k**3 + 23*k**4 - 9*k**3.\nAnswer: 2*k**2*(k - 2)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(5) + sqrt(45))**2 + 5 + (sqrt(605) - (0 + sqrt(605))**2) + sqrt(25)\/(sqrt(5)*1)*6 - (-1*(sqrt(245) + -5 + sqrt(30)\/(-3*sqrt(6))))**2.\nAnswer: -6905\/9 + 254*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 870 divided by 6\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7 + 927 - (-4 + 1) - 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*f**3 + 50*f**3 - 7*f**3 - 176*f to g*f**2 + w*f + k + y*f**3 and give w.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 12 = 3*u - 4, -11*u + 54*h + 9 = 53*h - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2. Let o(n) = -827*n**2. Determine x(o(q)).\nAnswer: 683929*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*n**4 + 76 + n - 26*n**4 - 29*n**4 - 3 with respect to n.\nAnswer: -288*n**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 6169800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 - 0.6000184. Round n to 6 decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*w + 55, 0 = 22*k - 26*k - 24. Put -224, w, -3 in ascending order.\nAnswer: -224, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12854.39 millilitres to litres.\nAnswer: 12.85439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19\/6 + 7\/(-42). Suppose 4*d + 4*n - 5*n - 99 = 0, -w*n = -5*d + 122. Calculate the highest common factor of 10 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 111001392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 13*p**2 + p + 121. What is u(13)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 17*f**2. Let b(q) be the first derivative of q**3\/3 - 11. Calculate r(b(o)).\nAnswer: 17*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (32\/10)\/((-11)\/(-55)). Let t = 21 - a. Calculate the remainder when 17 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glss when four letters picked without replacement from lgss?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 83*g - 697. Give v(74).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 358079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3072735 and 15363675?\nAnswer: 15363675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8232.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d - 18 = -17*d. Suppose d = 7*j - 4*j. Let y = j - -51. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -10\/3*v**4 - 10\/3*v**3 + 10\/3*v**2 - 2\/3*v**5 + 0 + 4*v = 0.\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and -0.44?\nAnswer: -5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 34 = -4*k, -4*k - 54 = -19*a + 8*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.405409 years to centuries.\nAnswer: 0.06405409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s**2 + s**3 + 4*s**2)*(s + 2*s - s) + 4*s**4 + 0*s**4 - s**4 - 7 - 2*s**4 + 7 as c*s + n*s**3 + i + q*s**4 + h*s**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, g: 5}. Give prob of sequence aga.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(2\/(-4) + 0). Suppose 0*g - 180 = 3*g. Let w be g\/(-14) + 2\/(-7). Solve -w*l + 8 = -s*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -4*v + 4*p, -v - p = 3*p - 45. Suppose -20*w = 3 + v. What is the third smallest value in -0.1, -4, -0.5, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6656)\/256 - -1*2*-4. Let j(b) = -3*b - 2*b - 3 + 9*b. Let m(x) = -23*x + 17. Give a*j(u) - 6*m(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w - 13*w = 16*w - 1064. Calculate the remainder when 27129 is divided by w.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67203222*s**2 + 78616491 wrt s?\nAnswer: 134406444*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 - 5*h**3 + 2*h**3 + (-12*h + 12*h - 6*h**3)*(-2 - 2 + 0).\nAnswer: 23*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1404018.\nAnswer: 2, 3, 7, 11, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -144 + 145 + 9 + 63?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**28*s\/(s*s\/s**(-2\/51)*s) assuming s is positive.\nAnswer: s**(1324\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -79, -3, 88, 0.08468?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 12*r**2 + 22*r + 29. Let y be m(-10). Let l(j) = 46*j + 53. What is the hundreds digit of l(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -218 - -185. Let i(r) = -17*r + 200. List the prime factors of i(x).\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y**4 + 3*y**4 + 0*y**4)*((-5 - 1 + 4)*(2 - 5 + 2) - 4 + 10 + 4 + 345 - 544 + 861) as w*y**3 + z + t*y**4 + o*y**2 + r*y and give t.\nAnswer: 674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.97 and 7322.\nAnswer: 7323.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**5 + 21760*o**4 - 43555*o**3 - 65290*o**2 + 87100*o + 87080 = 0. What is o?\nAnswer: -4354, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293960 - 588100 + f + 294052.\nAnswer: f - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 31*u + 3*u = 416 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, -1, 16379, -1\/2, -38.79?\nAnswer: 16379","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1277 divided by -3.\nAnswer: 1277\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29808?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 13140?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001110101110010101010 (base 2) in base 11?\nAnswer: 1502125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 433, -45416, 1\/2, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 830 and 830 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 95 = 3*o, 12*o = -2*m + 51 + 41 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 0*m + 0*m)*(-2 + 0 + 0) - 3*m + m - m - 2*m + 0*m + 4*m + 3 + m - 3 + 0*m + 0*m - 2*m + (0 + 0 - 2)*(-2*m + 1 - 1).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3\/5 - 4*d**2 + 67*d\/5 - 48\/5 = 0. Calculate d.\nAnswer: 1, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32851921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 583 + -3481\/6. Is p > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(7) - (5 + sqrt(42)\/sqrt(6)))*-6*4.\nAnswer: -24*sqrt(7) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -24. Let f = n + 9.7. Let o = 18 - 18. What is the closest to 0 in o, 0.1, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 874037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23824.\nAnswer: 2, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 38 + (1 - 14) + -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 5\/47, 0.1, -0.2, 4\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - -2 - 4) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1251 + 20?\nAnswer: -1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1089 and -10.\nAnswer: -1.089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -23*d**2 + 35*d - 4443. Let i(l) = -10*l**2 + 17*l - 2221. Let k(v) = 9*i(v) - 5*w(v). What is the derivative of k(o) wrt o?\nAnswer: 50*o - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1308, -1380, -1446, -1512, -1584, -1668, -1770, -1896?\nAnswer: -2052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.209? (a) 0.48 (b) 0 (c) 2.22 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 2991?\nAnswer: 20937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**5\/8 + 9*a**4\/8 - 15*a**3\/4 = 0 for a.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**4 + o**4 + o**4 + (-4*o**3 + 3*o**3 - o**3)*(-o + 44*o - 15*o) - 71*o**4 - 369*o**4 - 128*o**4.\nAnswer: -625*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*a = -5*p + 67*a + 7, -3*p - 2*a - 15 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9409 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + -1*1*sqrt(132) + sqrt(132) + -3*(sqrt(132) + -1*sqrt(132) + sqrt(132)))\/(-6*sqrt(84)\/sqrt(7) + sqrt(300)*-1).\nAnswer: 2*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 - 18*d**2 - 50*d + 66.\nAnswer: 2*(d - 11)*(d - 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-4) + 2\/(-4). Suppose 2 = m + u. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-105)\/(-28))\/(54\/(-64)). Let z = w + 262\/63. Which is the biggest value? (a) z (b) 1\/3 (c) 1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1624 (base 7) to base 16\nAnswer: 28f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-234)\/10 - (4\/(-9) - 31691\/33165)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 12:47 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-3*(sqrt(320) - 2*sqrt(320)) - sqrt(320)) + 0)**2 + ((2 + sqrt(320) + 2 + 2)*-2)**2.\nAnswer: 384*sqrt(5) + 2704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 11*y + 5*v - 91 = 0, y - 4*v = 7. What is the remainder when 72 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -406, 41, -45, 0, -3 in decreasing order.\nAnswer: 41, 0, -3, -45, -406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88*c**5 + 42*c + 5*c**5 + 50*c**5 + 205*c wrt c.\nAnswer: -660*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115786.\nAnswer: 2, 11, 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/12*(-20)\/(-15). Let j(k) = 6*k - 3. Let z(t) = -2*t + 1. Give s*j(d) - 7*z(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010860498 rounded to 5 decimal places?\nAnswer: -0.01086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 = -23942*f + 23899*f + 428 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-756)\/14 + (65 - 38).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3\/15 + 116*i**2\/15 + 496*i\/15 = 0. Calculate i.\nAnswer: -4, 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9725065 microseconds to seconds.\nAnswer: 0.0000009725065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8 + 34)*96\/6?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1017982 and -35.\nAnswer: 1017947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2 - 20 = 0. Let y be (-16)\/48 + (-2)\/g. Is 2 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -25 - 62*z**2 - 9*z + z**3 + 68*z**2 + 19. What is s(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -452\/41 + 32828\/2829. Find the common denominator of f and 119\/6.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/297 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -201\/7 + 29. Let w = -1337 + 1336.8. Which is the closest to k? (a) -2 (b) 1\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*b**3 - 9 - 96*b - 10*b**3 - 97*b**2 - b**5 - 28 - 11*b**4 + 1 = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 + 6*j + 5. Suppose 2*d - 2*g = 0, -g + 2*g - 25 = -4*d. Determine w(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*x**2 - 151*x**2 + 14*x**3.\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43172456.\nAnswer: 2, 5396557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12210 (base 10) in base 7?\nAnswer: 50412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.8? (a) -3 (b) -1.9 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(585\/(-26))*(3 + 82881\/(-24)). Is w greater than or equal to -2300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (74\/4)\/(2*3\/12). Is f*2*(-170)\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -494*v**5 - 724*v**2 wrt v?\nAnswer: -29640*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.2 - 2.5. Let l = g + -6.7. Let o = 4.5 + l. Which is the biggest value? (a) o (b) -14 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104 (base 5) in base 6?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -39475 divided by 5?\nAnswer: -7895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeggegeggeeegegegg. What is prob of sequence eegg?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -42 + 31 + (-70)\/(-6). Let c(l) be the second derivative of -7\/6*l**4 + 0*l**2 + 1\/5*l**5 + f*l**3 + 1\/5*l**6 + 0 + 11*l. Factor c(o).\nAnswer: 2*o*(o - 1)*(o + 2)*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-2 + 1 + 2). Let p be (918\/6885)\/((-138)\/10 + 0). Are p and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 24*g - 1. Let l(w) be the first derivative of -2*w**3\/3 + 16. Give l(v(f)).\nAnswer: -1152*f**2 + 96*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1325, -2\/11, -8, 0.2, 0.1 in increasing order.\nAnswer: -1325, -8, -2\/11, 0.1, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -166 + 244. Let w = -74 + h. Let t(y) be the first derivative of -2*y**3\/3 + 3*y**2 - 2*y - 1. Calculate t(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 346446 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.62 - 14.55. Let r = d + 2.59. Round r to 1 decimal place.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 6*s**2 + 6*s + 7. Let d be q(5). Suppose 0 = -3*a - 3*m + d, 5*a - 40 = m - 2. Solve 2*z = 4*f + 22, -2*f + a*f = 5*z - 30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.921 - 0.079. Let o = -0.1 + 5.1. Let x be ((-7)\/(-49))\/(1 - 0). What is the second smallest value in x, -1, o, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + v**2)*(-1 + 1 - 2*v) - 522*v - 87*v**3 + 522*v in the form m*v + f*v**3 + l*v**2 + y and give f.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -155, 5, -7080.\nAnswer: -7080, -155, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 x when two letters picked without replacement from wwxkwltxtwxtxxtwttll?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2*sqrt(143)*-3 - sqrt(143))*3)\/(2*sqrt(99)*-3 + (2*sqrt(99)*1 - sqrt(99)) + sqrt(99)).\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-7)*(-826)\/236. Let a be 2*2\/4 + 1. What is the third derivative of 2*d**a - 24*d**3 - 8*d**i + 24*d**3 - 7*d**5 wrt d?\nAnswer: -900*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -3*o - 36. Factor -7*l**2 + l**3 - o + 24*l - 2*l**2 - 6*l**2 + 2*l**3.\nAnswer: 3*(l - 2)**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 440\/(-2420) + 26\/(-220)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 94072.\nAnswer: 19\/94072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2723780.71099669 - 2723753.411. Let n = j + -27.3. Round n to 7 decimal places.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2, b + 0*b - 4*r - 11 = 0. Let y be 14\/b*(-2)\/(-14). Suppose -6 = -4*z - 2*v + 4*v, v = -z - 3. Is z at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1358 - -1357. Let j = 66 - 66.1. Which is the nearest to j? (a) -1\/2 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d*m**3 + 104*d*m**2 + d*m + 5*d - 58*m**4 + 6*m**3 wrt m?\nAnswer: -6*d - 1392*m + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 21.6. Let y = -1.4 + m. What is the nearest to -3 in y, -0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -25 (b) -4\/5 (c) -12\/31 (d) -4\/27 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 1 - (14 + -48 + 14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -8. Let f = 16 - 12. Suppose w*p = -f*y + 7, 4*p + y - 4 = p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-10)*(1 - -4). Suppose -b + m*b = 100. Let q = b + -11. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490422 is divided by 1102?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/31264 and 55\/64.\nAnswer: 62528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 32 = -d, 15*c - 139 = -4*d + 14*c. Suppose 2*l = -h + 58, -5*l - 103 + 10 = -h. What is the remainder when h is divided by d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*14067.1\nAnswer: -42201.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 133019334 to the power of 1\/4, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 14 + 14*b + 38 - 17 + b**2. Let k be l(-12). Calculate the greatest common divisor of 88 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70082209 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**7\/42 - 3*d**6\/10 - 7*d**5\/20 + 3*d**4\/4 + 4*d**3\/3 - 2*d - 43. Factor m(u).\nAnswer: -u*(u - 1)*(u + 1)**2*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 9 - 2) + (-18)\/(1 - -5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -2. Let n = 1778.6 + -1779. Which is the fourth smallest value? (a) 0.3 (b) n (c) g (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544789087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/2 + 93233*j\/2 - 93231 = 0.\nAnswer: 2, 93231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 128 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4347300257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 + 3*q - 6. Let i(g) = 6*g**2 - 8*g + 16. Let x(w) = -3*i(w) - 8*t(w). Let b(v) = -37*v. Calculate b(x(j)).\nAnswer: 74*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 12 + 2. Solve z*t + t = 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + sqrt(32)\/sqrt(4) + -2 + (sqrt(968) - (sqrt(968)*1 + sqrt(968))))**2.\nAnswer: 72*sqrt(2) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - 79*s - 1033. Calculate k(49).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02 and 4337115.\nAnswer: 4337114.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 612092 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*k. Suppose k = 5*i - 270 + 45. What is the highest common factor of 15 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 k, and 1 d when four letters picked without replacement from {c: 1, k: 2, q: 6, d: 1, i: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -v**2 - 17835*v + 148765?\nAnswer: -2*v - 17835","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u**3 + 6*u**2 - 6*u - 1. Is x(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 2*d**6\/15 - d**2\/2 + 6*d. Differentiate m(k) wrt k.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21594925*j**3 - 11888836*j**2 wrt j?\nAnswer: 129569550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, 12\/14611, 9\/4, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1400 = 79*y - 58*y + 49*y. Let l(o) = -8*o - 25. Give l(y).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545798\/3 < 181932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s**3 - 20*s**2 - 70 with respect to s.\nAnswer: 6*s**2 - 40*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -9 + 2*v + 9. Let u(k) = -k. Calculate -2*o(l) - 5*u(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -5, 210.\nAnswer: -5, -3, -2, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13054313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 - 15*v - 315. What is k(-9)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 384*k**3 - 288*k - 144. Let l(f) = -f**3 + 2*f + 1. What is -144*l(g) - o(g)?\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.149143 + -0.15673. What is z rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 350 + 468. Suppose -2*h - s = -4*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-98)\/(-6) + -4)*6 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 8370 = 91*h + 66*h. Solve 46*n = h*n - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + 2 - 2)*(123*o - 31*o**2 - 123*o).\nAnswer: -31*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.969577 and 0.0625661.\nAnswer: 1.0321431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58.867 + -10.597. Round n to the nearest integer.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5031 divided by -13.\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 5) in base 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0. Let c(f) = 7*f - 6. Let n be c(3). Let k be (-7)\/(-5) + n\/25. Solve -2*r + k*d + 6 = p, -3 = -0*d - 3*d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (2 - 4) - (3 + -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4707065.\nAnswer: 5, 11, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*d + 4032 = -13*d. Let l = 22 + -13. Calculate the highest common factor of l and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 643 + k**3 + 10*k**3 - 643.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 7*b + 7. Let p be j(8). Let f = p - 12. Find the third derivative of 2 - 8*u**f + u**2 - 2 + 12*u**3 wrt u.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343977090 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 6 = -7*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415*v**2 + 433*v**2 - 1290*v**2 - v**3 + 442*v**2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 485, 4459, 15309, 36473, 71389?\nAnswer: 123495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 366617 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/216)\/(2\/8))\/((-3)\/(-81))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1285714 is divided by 11583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**2 - 6549*p + 6093398 = 0?\nAnswer: 1123, 5426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-11 - -15 - 4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3337\/2 (b) 0 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 6*a + 10. Let q be -1 + 3\/(-3)*-8. Let m be i(q). Suppose m*n = -2*n + 35. What is the remainder when n is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 49 = -t, -88 = t - 3*t + 3*c. Suppose 5*i - 74 - t = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, j: 4, u: 1, h: 2}. What is prob of picking 1 j, 1 u, and 1 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 l when two letters picked without replacement from ulxluuluuupuuxqlluqu.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162607*-0.3.\nAnswer: 48782.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 + (-1586)\/52)\/(-1*(-3)\/(-54))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73\/4 of a litre?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 26*m - 48. Give i(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = j - 3*c - 4, -6 = -4*j + 3*c. Suppose j = 3*p - 12 - 0. Put 0, -1, p in descending order.\nAnswer: p, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(242) - (sqrt(6) + sqrt(18)\/sqrt(3))\/sqrt(3)).\nAnswer: -27*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 7124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 2706\nAnswer: -1\/902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13286 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9394150.\nAnswer: 2, 5, 187883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 0.1 (b) 3\/22 (c) -0.835\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 206582353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -5. Let t = 5 + k. Put t, -1\/4, -4 in ascending order.\nAnswer: -4, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1399 - 9775\/7. Factor g*t**2 + 54\/7*t + 2\/7*t**3 + 54\/7.\nAnswer: 2*(t + 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzszzzzzzssszzzzss. Give prob of sequence ss.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - ((13 - -42) + (2 - 29)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1123 (b) -4 (c) 6 (d) 12\/5 (e) 0.05 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -233567685 by -1996305.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 h, and 1 s when four letters picked without replacement from sshhshfffhf?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 761489184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 0 + o - 5*o**2 + 1 - 2*o**2 + 6*o**2. Let d(k) = k**3 - 3*k**2 - 13*k + 4. Let g(b) = -d(b) - 3*p(b). Calculate g(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**4\/24 - g**3\/6 - 21*g**2. Let i(y) = -2*y + y + 1 - y + 1. What is 6*i(k) + 10*r(k)?\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 - 559*d**3 - 558*d**2.\nAnswer: -d**2*(d + 1)*(d + 558)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16276 less than -0.6?\nAnswer: -16276.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (150\/(-90))\/((-2)\/((-24)\/(-10)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + 41. Which is the second smallest value? (a) -3\/7 (b) z (c) 0.4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49833410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/10 in 0.2, -1\/2, 0, -81, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 7*x**2 - 5*x - 1. Suppose -26 = -4*t - 2. Let i be b(t). Let d(o) = o + 6. Let r be d(-5). Sort i, r, 3 in descending order.\nAnswer: i, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1310643950?\nAnswer: 2, 5, 7, 11, 67, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-343)\/14)*((-45682)\/(-753))\/(2\/3).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**3 + 2*u**2 - 32*u - 60. Let p be h(-2). Sort 8, 280, p in decreasing order.\nAnswer: 280, 8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 3\/4 (b) 0.27 (c) -405\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2857889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = 6*o. Let r = -5 - -3. Which is the closest to o? (a) -5 (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*b - 5. Let g be (b\/4)\/((-3)\/12). What are the prime factors of (-4 - g)*8*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6 = -0*t. Suppose -6*v + v = 15. Let b be 3\/(3\/(-14))*v. What is the greatest common divisor of b and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -13, 2, -1.\nAnswer: -13, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -72*d - 74*d - 70*d. Which is greater: -2\/3633 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-10)*18*314\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.21 - -0.31. Let n = 13.9000101 + m. Round n to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cff when three letters picked without replacement from ffkkccocxffoff.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -147.32 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 17 = 3*c + 16, -4*f = 5*c + 39 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n - 1388 + 1808 = 0. What is the smallest common multiple of 17526 and n?\nAnswer: 87630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2\/7 (b) -2\/13 (c) -1\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -255 divided by -53\nAnswer: 255\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 8352 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -202694 = -202668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10902 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6367, 6377, 6389, 6403, 6419, 6437?\n\"Answer: h**2 + 7*h + 6359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110 - 58. Let p = 92 - i. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83992 divided by -3?\nAnswer: 83992\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1001 - -213300?\nAnswer: 220301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7760 divided by 2?\nAnswer: 3880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.557 and -3.\nAnswer: 1.671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**4 - 30*k**3 - 84*k**2 - 18*k + 135 = 0.\nAnswer: -5, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 229598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -12201222212?\nAnswer: -12202000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5422262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-5))\/(((-78)\/(-900))\/(-13)). Calculate the highest common factor of j and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27373776 and 73536?\nAnswer: 109495104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 18*s + 23. Let h be v(-12). Suppose -4*k + 2*k = -188. Let d = h - k. Put d, 4, -4, 0 in descending order.\nAnswer: 4, d, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, z: 12}. What is prob of picking 1 z and 2 o?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-3)*8\/36. Let p = 45 - 37. Suppose 3 = 11*j - p*j. What is the nearest to j in m, -2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 85 - 1. Suppose 3*s - 45 - i = 0. What is the highest common factor of s and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**2 + 29*k - 3*k**3 + 0*k**3 - 8*k**2 - 27*k as o*k + n*k**2 + g*k**3 + s and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -2*u**7\/35 - 5*u**4\/12 - 8*u**2. What is the second derivative of r(g) wrt g?\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6991.29 millilitres in litres?\nAnswer: 6.99129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 156 + -89. Let r = -65 + j. Which is the second smallest value? (a) -2 (b) 4 (c) r (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 4) in base 2?\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 2*v**2 + v. Let q be t(-2). What is the fourth smallest value in -3, -0.026, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 - 3*l + 6. What is a(4)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50808570 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206.3295ml to litres.\nAnswer: 0.2063295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 447015 (base 11) in base 10?\nAnswer: 712101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(165)\/sqrt(20))\/(sqrt(15)\/(-3*(sqrt(5) - sqrt(20)))) + 5.\nAnswer: 5 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 0.2 (c) 3\/116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -16*y**3 - 5*y**2 + 5*y - 3. Let r(v) = 24*v**3 + 7*v**2 - 7*v + 4. What is 5*r(a) + 7*z(a)?\nAnswer: 8*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.50645956352 + 756.26651016648. Let d = r - 7.77259873. Let j = d + -749. What is j rounded to 5 decimal places?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j, -5*v - 1060 + 4250 = j. Let m = -960 + v. Let l = -206 - m. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -940, -0.2.\nAnswer: -940, -13, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3334646 by -2.\nAnswer: -1667323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (4 + 0) - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8031 + 18*l**2 - 8031.\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -311, -271, -219, -149, -55, 69, 229, 431?\n\"Answer: k**3 + 33*k - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 3\/1697441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express o - 2*o**3 - 2*o + 1 + 3*o - 6*o**4 + 8*o**4 - 2*o**2 as t + g*o**3 + v*o + n*o**2 + d*o**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 60 = 10*q. Suppose 3*u - 5*k - 519 = 0, 5*u - 890 - q = -5*k. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2194600 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -986 and 1.2?\nAnswer: 987.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/42 and 82\/1791735?\nAnswer: 25084290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhz when three letters picked without replacement from hzzhzz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26756237 by 1408223.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3294.00000201143 + 3294. What is d rounded to seven dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**6\/24 - 3*n**5\/20 + 11*n**4\/48 + n**3\/4 + n - 119. Factor g(k).\nAnswer: -k*(k - 1)*(k + 3)*(5*k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.4 * -5\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -192788*57\nAnswer: -10988916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.4 - 1.3. Let s = -21 - -18.4. Let h = 0.6 + s. What is the closest to b in 0.2, -1\/2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**4\/6 + 5*m**3\/3 - 176*m**2 - 2. Give s(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-33)\/6 - 3\/2. Let r(d) = 0*d + 7 + 4286*d**2 - 3*d + 6*d + 0*d. Let a be r(h). What is a rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*w - 4322 = 778. Suppose 110*y - 7920 = w*y. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 64, -62, -290, -650, -1172, -1886?\nAnswer: -2822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + -8 + 64 + -178 + 72.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 288634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -144 + 143.43. Let g = 1553 + -1561.43. Let a = q + g. Sort -2\/3, a, -1\/3 in descending order.\nAnswer: -1\/3, -2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -8 + 11 - 3*i**3 - 20*i**3 - i**2 + i. What is the tens digit of s(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 55*t**2 - 2*t - 4. Let f(q) = 111*q**2 - 5*q - 11. Give 7*a(i) - 3*f(i).\nAnswer: 52*i**2 + i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 + 19 - (11 - ((-9 - -4) + 11))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 + 110*l**2 - 1211*l - 1320.\nAnswer: (l - 11)*(l + 1)*(l + 120)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-6))\/(-5)*1841\/(-9205).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 223.4927 tonnes in milligrams?\nAnswer: 223492700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqsbzqqsssxzs. Give prob of sequence sx.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2776797533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s. Let m(z) be the third derivative of 115*z**4\/12 - z**3\/3 - 5443*z**2. Calculate m(w(i)).\nAnswer: 230*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/(-24))\/(1\/24). Let r(w) = -w - 2 - 17*w**2 - 2*w + p*w**2 - w. Give r(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*t - 46 + 1056 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1146883, 1146882, 1146879, 1146874, 1146867?\n\"Answer: -c**2 + 2*c + 1146882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 2*h**2 - h. Let n be j(-2). Suppose -n*g + 2 = 2*r - g, 0 = -2*r - 4*g + 8. Which is the nearest to -0.1? (a) 3 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156, -298, -438, -576, -712, -846, -978?\nAnswer: -1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, x: 1, t: 2, m: 1, c: 1, a: 1}. Give prob of picking 1 m, 1 x, and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1)*w*w)**(-6))**15\/(w*w**(-3\/7)*w*w*w*w**(-5))**(-18) assuming w is positive.\nAnswer: w**(-2700\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7450612 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*r + 3*j + 262, -963 = -4*r - 5*j. Let z = -149 + r. Let a = 189\/2 - z. Put 0, -3, a in increasing order.\nAnswer: a, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s + 2*f - 19, -3*s - 2*f + 13 = 0. Suppose 0 = -g + 11 + s. What is the smallest common multiple of 41 - (3 + 1 + 1) and g?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 13*n**2 + 5*n. Let t be w(12). Let z = 120 + t. Let i(u) = -3*u - 2. Let o be i(-2). What is the greatest common factor of z and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*g - 101 - 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(18*l + 72 + 49*l - 68*l).\nAnswer: l - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/2*(-6 - 0). Let c = v - -9. What is the units digit of 0 - 0 - (-7 - c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.1 - 0.9. Let c = r - -3.14. Let j = -0.54 + c. What is the closest to -5 in 5, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**4 + 9*z**3 - 3*z**2 - 9*z + 6 = 0. What is z?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2, -0.3, -9, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -145445707 - 6?\nAnswer: -145445715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5350809229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 11:47 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 316 and 4143.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**3 - t**2 - 3*t - 3. Let n be f(-1). Let p(b) = b**2 + 2*b + 1. Let j be p(n). Solve -2*k + 2*d + 9 = d, 3*k + 3*d = j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5517264041?\nAnswer: 5517264041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -181*f**6 + f**5 + 120*f**2.\nAnswer: -21720*f**3 + 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5600 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (6 - (10 + -6)) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1150, -2295, -3440?\n\"Answer: -1145*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -31687, -0.2, -0.4, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 0*f**2 - 41\/3*f**3 - 123*f + 0 + 35\/6*f**4. Find the second derivative of y(w) wrt w.\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -60\/1301 or -1?\nAnswer: -60\/1301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*u - u + 27*u - 65*u.\nAnswer: -94*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*k = -71*k - 5*d + 15110, -2*k = -4*d - 10088. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 238.32048 + -244.64. Let o = d + 5.52. Let z = o - -0.8. Round z to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3*m. Let u(k) = -141*k**2 - 24*k + 142. Let o(b) = 758*b**2 + 129*b - 758. Let l(t) = -8*o(t) - 43*u(t). Give l(m).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x. Let j(w) = -13*w + 6. Let y = 335 - 329. Let i(d) = -24*d + 11. Let u(s) = y*i(s) - 11*j(s). Calculate -6*o(f) + 26*u(f).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 l, and 1 v when three letters picked without replacement from vopvl?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qiq when three letters picked without replacement from uyuyqiyyq?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 129716473031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -321 - 13?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -698, -4215, -10070, -18257, -28770?\n\"Answer: p**3 - 1175*p**2 + p + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4641*x**2 + 403*x - 5828. Let t be s(14). What is t rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.9 - 2. Let d = v + -0.3. Let l = -3210 + 3209.5. Which is the nearest to 0? (a) d (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 410.732 millilitres?\nAnswer: 0.410732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16984?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/9 - (-2640)\/(-45). Let w = u - -64. Solve 5*o = w*n - 29 + 12, -2*n + 6 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001430327153 rounded to 5 decimal places?\nAnswer: 0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 463, 465, 467, 469, 471, 473?\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2469 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -344*n**6\/15 - 290*n**3\/3 - 2615*n**2. Differentiate r(j) with respect to j.\nAnswer: -8256*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3382885 - 2\nAnswer: 3382883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 4. Let i(u) be the second derivative of -424*u - 1\/6*u**3 + 0 + 5\/2*u**2. Suppose -5*v + 19 - 4 = 0. Determine v*q(k) - 2*i(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/80 and (5*(-34)\/4)\/(0 + -4).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 19, 1, -0.5, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(2\/13)*i**15*i**(-5\/3)\/i**(-2) assuming i is positive.\nAnswer: i**(631\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 10*s**2 - 4*s**2 - 1 + 2*s**2 + 0. Determine j(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/14 + 8\/(-112)*-177346 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11651 - -12923. Is 99 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 64\/5 of a meter?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -6 (c) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2540\/381*((-1)\/(-4))\/(1\/(-18)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24333?\nAnswer: 3, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -63 (base 15) to base 4\nAnswer: -1131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/3 + 26279750*s**2\/3 + 172656315015625*s\/3.\nAnswer: s*(s + 13139875)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -26301 minus 721186?\nAnswer: -747487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (11 + 1 + -5 - 3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 1332?\nAnswer: -1335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 4. Let z(s) be the third derivative of s**3\/3 - 470*s**2. Let u be 2*6\/(-20)*-5. Calculate u*t(l) - 5*z(l).\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 21*t + 67. Let w(m) = -58*m - 201. Let n(v) = -8*c(v) - 3*w(v). What is n(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**4\/2 + 11*t**3\/3 + 4*t**2 + 2*t - 8. Is y(6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 2)\/((-2)\/(24\/44)). Which is the closest to i? (a) 5\/4 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*340839\nAnswer: -1704195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/12*2 + 1444\/24. Let j be ((-5584)\/(-6))\/(5 - 325\/f). Let h = -66827\/30 - j. Find the common denominator of h and -55\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w - 2*w - w**2. Let g(r) = -35*r - 32*r - 36*r + 105*r. Give g(x(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 + 53. Let q(r) = 22*r**2 - 7*r + 3. Let t be q(2). What is the common denominator of 65\/12 and m\/t - 158\/(-112)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8832721 a multiple of 372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.25347 - -21.74747. Let n = y + -29. What is n rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 190803567.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(3)*2))\/(sqrt(55)\/(2*sqrt(891))).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1737*z - 2. Let m(a) = 1632*a**2. Determine v(m(i)).\nAnswer: 2834784*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 563320219 divided by -26411\nAnswer: -21329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 2*h**2 - h + 4. Let d be z(-3). List the prime factors of 15 + (-9)\/(-3) + d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -941464 less than or equal to -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 81 - 163\/2. Let s = 6.7319 + 0.2681. What is the closest to -1 in l, -3, s, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyn when three letters picked without replacement from uynunnnynnuunuu?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24f3359a + 3?\nAnswer: -24f33597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/3))**(-6\/13)*a**5\/(a*a\/(a\/(a**(-3\/4)*a))) assuming a is positive.\nAnswer: a**(163\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -27, 76, 3, 5, -3, -1 in ascending order.\nAnswer: -27, -16, -3, -1, 3, 5, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20012109*s**3 - 3728507*s**2 + 2 wrt s.\nAnswer: -120072654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s = 11701 - 11416 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 1 - -4 - (2 - (11 + -6))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from {s: 2, x: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 - 27*r - 3. Give g(13).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1712008 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 divided by 45.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -2\/3*o**3 - 1\/45*o**5 - 4*o**2 + 0 + 2\/9*o**4 + 0*o. Factor r(l).\nAnswer: -4*(l - 3)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 9*o**2 - 396*o + 4557. What is y(14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23428655.\nAnswer: 5, 4685731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 5*v**2 - 2*v**2)*(4*v**2 - 6*v**2 + 5*v**2) + 91 + 5*v**2 + 2*v**4 - 12*v**4 - 93.\nAnswer: -7*v**4 + 5*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: -5332161 (base 7) to base 10\nAnswer: -646647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230, 918, 2064, 3668, 5730, 8250?\nAnswer: 11228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (4 + (-35)\/10)*6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/15))**(4\/5)\/(b\/b**(5\/3)*b**(2\/5)) assuming b is positive.\nAnswer: b**(76\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 + 28*b**2 - 49*b**2.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 129*t - 66*t - 64*t. Let p(s) = -187*s + 3. Let l(u) = 187*u - 4. Let r(n) = -2*l(n) - 3*p(n). Calculate k(r(b)).\nAnswer: -187*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 645512 (base 10) to base 15\nAnswer: cb3e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.031953 + -2\nAnswer: -2.031953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + ((-340)\/204)\/(5\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -297*v - 119. Is r(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/471 in 10, -1\/3, 1, -2\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -0.2. Let q = -11 + 28.7. Let k = 18 - q. Which is the closest to g? (a) -0.5 (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132749, -265500, -398251?\nAnswer: -531002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*t + 424 + 475 = 785 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4102 and 16869182.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-2*3\/27). Let x = 0 + n. What is the greatest common divisor of 36 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.3 + 0.7. Let z be (2 - ((-79)\/(-10) - 2))*-34. Let d = z - 133. Which is the closest to h? (a) d (b) -5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-15))\/(-4*(255\/36 - 7))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-5)*(-1)\/(3\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4440 + 9312 - 667. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 2\/193, -62?\nAnswer: 2\/193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/3 + 3127*r\/3 + 1042 = 0. Calculate r.\nAnswer: -3126, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 + 105\/(-14))*-4. Is n >= 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2456009?\nAnswer: 23, 106783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**3 + 5*s**2 + 23*s + 14. Give l(7).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3143.438ml?\nAnswer: 3.143438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-15))\/(-3 + 17\/5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1*1 + (-35)\/(-14))*2. Suppose b*m + i - 3 = 2*m, 4*m - 9 = -i. Solve m*h - 4*r = -h - 15, 5*r = -4*h - 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**7)\/(i*i**(-2\/41)))\/(i**(-2\/9))**(-17\/2) assuming i is positive.\nAnswer: i**(1904\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13322412041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 0*t + 0 + 1\/3*t**4 + 2*t**3 - 7\/3*t**2 = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -584, -961, -1338, -1709, -2068, -2409?\nAnswer: -2726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10a938 (base 12) in base 13?\nAnswer: 94973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9382.\nAnswer: 2, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.97 - 0.03. Let t be -1 - (-220)\/144 - (-6)\/27. Which is the closest to w? (a) 0 (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 1 (c) -216 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 906*l**3 + 902*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 7:34 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-3*sqrt(108) - sqrt(108)) + sqrt(108) + 2)**2 - (sqrt(972) + sqrt(972) + (sqrt(972) - ((-3*-2*sqrt(972))**2 - sqrt(972)) - sqrt(972))).\nAnswer: 18*sqrt(3) + 35968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4886892 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*l = 2140 - 5543. What is the remainder when 731 is divided by l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 5 + -2 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/17179459 and -28\/15.\nAnswer: 257691885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 253 + -86. Let t = n - 293. Let j = t - -125.9999674. What is j rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2355 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*a**3 - 5*a**3 + 7*a**3 + (a + 3 - 3)*(3*a**2 + 2*a**2 - 2*a**2) + (0*a + 0*a - 2*a)*(-3*a**2 + 6*a**2 + 0*a**2) + 4*a**3 - a + a.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1879?\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5861597 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 101 and 1?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*j - 37*j**2 + 194*j.\nAnswer: -37*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j - 3. Let q(b) = -5. Let t(s) = -s - 11. Let g(c) = 5*q(c) - 2*t(c). Let f = 6 + -10. Determine f*g(o) + 3*l(o).\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16838 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*h**3 + 16*h**3 - 7*h**3 - 9*h**3 - 9*h**3.\nAnswer: -35*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*c**3 + 0 + 4\/3*c**2 - 2\/3*c.\nAnswer: -2*c*(c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -3 (c) 64568 (d) 0.5 (e) 2\/7 (f) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 2, -2.\nAnswer: -2, 2, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0.7. Let j = -0.8 + g. Which is the closest to -2? (a) j (b) 3 (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 11*q**2 - 84*q + 10. What is the least common multiple of u(10) and 150?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 61*i**2 + i + 1. Let q be g(3). Suppose -3*a = -2345 - q. Suppose 448 = 2*c - a. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5632 - 2810 + 141*l - 2822 + 11*l.\nAnswer: 152*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25 and 2207.\nAnswer: -55175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93*i + 205*i + 173*i)*(26 - 13 - 16 - 2 + 2 - 2 + 1 + 1 + 0 + (-2 + 0 + 4)*(1 + 0 - 3) - 4 + 3 - 1).\nAnswer: -2565*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 19 = 5*p, -3*u + 4*p = 2*u + 2. Suppose -u*k + 33 = -k. Let n = -22 + k. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 40 = 5*x, x + 4*a = a + 8. Let b(v) = -v**2 + 8*v + 5. What is the remainder when 18 is divided by b(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0181 to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i - 1. Let v be r(-2). Suppose v*q - 17 + 3 = 0. What is the third derivative of 12*t**4 - 3*t**2 + 6*t - 4*t - q*t wrt t?\nAnswer: 288*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5466*s**3 + 3899*s**3 - 5704*s**3.\nAnswer: -7271*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23.09 - -23. Let f = 0.1063 - 1.0163. Let k = f + p. Sort 1\/4, k, -2 in decreasing order.\nAnswer: 1\/4, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191810647*g**2 + 95905313*g**2 + 95905319*g**2.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11176589 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (18 - ((-12)\/3 + 3)). Suppose 1 = u - y, 3*u + 0*y = -2*y + d. Suppose u*q = 58 + 22. Calculate the greatest common divisor of 70 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -478\/585 - -2\/117. Suppose 0 = 5*p + 5*r, 0*r = 2*p + r + 1. Let m be p - 1\/(-8)*7. What is the third smallest value in j, m, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154662.\nAnswer: 2, 3, 149, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -239*t**3 - t**2 + 4*t. Let u(c) = -119*c**3 - c**2 + 2*c. Let i(a) = 5*u(a) - 2*x(a). What is the third derivative of i(k) wrt k?\nAnswer: -702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184164 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -308110*f**6 - 11*f**4 + 3221*f**2 - 7376?\nAnswer: -36973200*f**3 - 264*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1620636210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - 45.2. Let u = -5 - t. Let l be ((-2)\/7)\/((-240)\/(-84)). Which is the smallest value? (a) l (b) 2\/21 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (4 + -1)*(-1)\/(-3). Let u(p) = -23 + 7*p**2 + 0 + p**v + 4 - 13*p. List the prime factors of u(-8).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2308215660 to the nearest integer?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2090 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -139 (b) 8 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 726 - 723. Solve 3*w + 7 = 4*x, w - 3*x + 1 + c = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 46 = 5*s, 58*s - 78 = 71*s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 12:21 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*l + 8, 0 = 3*l - k - 17 + 4. Let g be 1 + (0 - 0) - 1. Suppose 0 = -o - 2 - 1. Put g, o, l in decreasing order.\nAnswer: l, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -716\/2189 - -47\/199. Which is the second smallest value? (a) -3 (b) i (c) 10 (d) 3\/2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g, k + 1 = -4*g + 6*g. Let x(l) = -90*l. Let z(h) = h. Let i(u) = x(u) + 75*z(u). Give i(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001206555 rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + 0)*5 - sqrt(704).\nAnswer: 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7815494711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/1184 and 83\/148.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2553 - 2551. Calculate the highest common divisor of c and 250.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422105825 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 2*a - 29. Let t be i(-6). Suppose -44 - t = -7*w. What is the least common multiple of w and 21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a day in seconds?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133284, -266558, -399832, -533106, -666380?\nAnswer: -799654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18020, 18137, 18330, 18599, 18944, 19365, 19862?\nAnswer: 20435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -88, -177, -254, -313, -348, -353, -322, -249?\n\"Answer: v**3 - 96*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000065394 rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -244, -2, 4, -1 in descending order.\nAnswer: 4, 1\/8, -1, -2, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 524005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 481 divided by 37.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -45. Let a be (-15 - c)*1\/(-1). Let f = 0 - a. Solve -2*y + 5*w = 19 - 5, -f*y = 5*w - 29 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 827277818 to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 2\/7, -2\/25, -0.3, -56, -0.11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -16. Suppose -2*g - 7 = -o, c*o + g + 4 + 2 = 0. Let u(q) = -10*q + 2. What is the tens digit of u(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00088549085 rounded to five dps?\nAnswer: 0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 975993040?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25718 and 8470.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)*1*3)\/(2*sqrt(252) - sqrt(7)) - (2 + ((sqrt(300)\/(sqrt(50)\/sqrt(10)) - sqrt(60)) + sqrt(60) + sqrt(60))\/sqrt(12)).\nAnswer: -19*sqrt(5)\/11 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90839 - 2*n + 90839.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w + 2*w + w - 2*w + 5*w - 4*w + 1 + w - 1 + (-4 + 3 + 3)*(w - 2 + 2) - 4*w + 3*w - w + 5*w + w - 4*w + 0*w - 5*w + 4*w.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i - 53 = -5*r, 13 = r - i. Let g be r\/((-54)\/(-24)) - 4\/(-2). Solve 2*z = 3*d + 4, -2*z - 4*d + g = 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3452 is divided by 152?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (129\/(-258))\/((-2)\/52)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1045a (base 14) in base 9?\nAnswer: -58784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 873882+-200.1\nAnswer: 873681.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 161 and 70?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from {z: 5, u: 4, e: 10}.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-3)*4\/(-8). Which is the smallest value? (a) -0.3 (b) v (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 311168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**2 - 16*g - 416. Give h(5).\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -8*u + 21. Suppose d + a - 8 = 0, -a = 2*d + 2*a - u. Suppose -5*j = -b - d, 0 = 7*b - 3*b - 8. Solve -w - 5*l - 10 = 0, w + 3*l = -j - 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79\/2 + -39. Let f = -1 + g. Let v = -1.1 + 1. What is the nearest to 1\/2 in v, -3\/10, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635245 is divided by 211739.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 1 + 14. Let i be (9 - 6)*2\/g. Let b = 3.9533 + 0.0467. What is the closest to 2 in -3, i, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/21074900 and 81\/2200.\nAnswer: 42149800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. Let w = 179570 + -4848392\/27. Which is bigger: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3833850 is divided by 1916913?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365877 + 3293617 = 121*t - 36*t. What are the prime factors of t?\nAnswer: 2, 79, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*m**3 - 22*m**3 + m**3)*(19 - 19 + 4*m)*((2 - 2 - 1)*(1 - 1 + 3*m) - m + 0*m + 3*m).\nAnswer: 132*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 542, 2227, 5036, 8969, 14026, 20207, 27512?\nAnswer: 35941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -0.3. Let v = p - 0.2. What is the closest to 0.1 in v, 4, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52744 by 3.\nAnswer: 52744\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h - 2. Let r be c(-2). Suppose 4*v = r*v - 8. Let x(a) = -3*a + 1. What is x(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1321114, -2642228, -3963342, -5284456?\n\"Answer: -1321114*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 153 = 289. Let w be ((-342)\/45)\/(2\/80). Let q = w + i. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**7\/504 + m**6\/36 + m**5\/8 - 5*m**4\/6 - 18*m**2. Let f(d) be the second derivative of q(d). Factor f(a).\nAnswer: 5*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 + -4. Suppose -4*d - 26 = -l. Let t(n) = -2*n**3 + 17*n**2 + 7*n + 2. Is t(d) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/15 - -5)\/(2\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((45\/10)\/(-9))\/(238\/34)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v - 5. Let w be n(8). Suppose -673 = -5*j - f, -7*f = 2*j - 3*f - 280. What is the remainder when j is divided by w*3 - 2\/(-2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -64*a**2 - 322*a - 7. Let s(h) = -45*h**2 - 215*h - 5. Determine -5*r(u) + 7*s(u).\nAnswer: 5*u**2 + 105*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 6*y + 1. Suppose 12*d = 5*d + 210. Let m = d + -33. Determine j(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1483, -1325, -929, -175, 1057, 2887, 5435?\n\"Answer: 20*p**3 - p**2 + 21*p - 1523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -17*-0.047109\nAnswer: 0.800853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -160007 (base 12) to base 4.\nAnswer: -1123020013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 + -4 + 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -0.391966.\nAnswer: 0.195983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 + 42 = -5*n + 2*c, -5*n - 4*c + 96 = 0. Calculate the remainder when 94 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6233602 (base 7) to base 9.\nAnswer: -1360101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 964\/7 + -138. Let s = -11.64 - -11.34. Which is the nearest to y? (a) 3 (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**3 - 4*p**2 + 4*p. Let i(a) = 8*a**3 - 12*a**2 + 11*a - 1. Let l(f) = 11*c(f) - 4*i(f). What is the remainder when 15 is divided by l(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157497 is divided by 157381.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 2:31 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 285*z - 281*z - 48, -z - 372 = -32*z - 4*s for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 23. Suppose v*b + u = 13, -2*b + 3*u + 5 + 7 = 0. What is the third derivative of 3*p**2 - 8*p**b - p**2 + p**2 wrt p?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-816)\/(-1768)*52\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/8 - 1\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, 49, 6 in descending order.\nAnswer: 49, 6, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*l + 144 - 4566 = 0. Let p be 0 + 0 - (1 + -22). Which is smaller: l or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwpt when four letters picked without replacement from tpvwpwp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*z - 11817, -5*z - 2384 = -5*u + 56701. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = r - 4, 2*w = 5*r + 4*w - 23. Let t(s) = 5*s - 8. Let y be t(r). Suppose -2*o + 124 - 22 = 0. Calculate the greatest common divisor of o and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 25. What is the least common multiple of 2 and g(14)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1919231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(3) + sqrt(3)*2 + -3.\nAnswer: -5 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13834222235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 - g + 1. Let p(i) be the first derivative of 3*i**2\/2 + 27*i + 10. Let j be p(-14). Let f = -13 - j. Calculate u(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(2730\/60*(-4)\/7).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -45, -35, -19, 3, 31?\n\"Answer: 3*k**2 + k - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 6*m**2 + m - 3. Let j be a(6). Suppose 8 = -4*b - 5*h + 31, -j*b + 23 = -2*h. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/120)\/((-10)\/(-360)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**5\/5 + 559256*b**4 - 16777656*b**3\/5 + 33555296*b**2\/5 - 22370192*b\/5 = 0.\nAnswer: 0, 2, 2796274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -50*a**3 - 3*a**2 + a - 11. Let h(y) = -y**3 - y**2 + y + 1. Let b(i) = 3*h(i) - q(i). What is the second derivative of b(x) wrt x?\nAnswer: 282*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.3572 and -1480.\nAnswer: 7928.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 10. Let o = 5 + -8. Let u = o - n. Which is the third smallest value? (a) 0.2 (b) u (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b383a (base 13) in base 4?\nAnswer: 11132212022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 81816*b**2 - 327303*b - 245484.\nAnswer: 3*(b - 27276)*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158 + -155. Suppose 3*p - 51 = -3*w, m*w - 55 = -3*p + 4*w. What is the remainder when 45 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2200 - -30?\nAnswer: 2230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 3306 = -2436. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38\/63? (a) 239 (b) 2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 26264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**5 + 21*d**4 + 6*d**3 - 84*d**2 - 72*d = 0?\nAnswer: -6, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1432549.\nAnswer: 1432549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 61689, 3 in increasing order.\nAnswer: -18, 3, 61689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2756)\/(-65190)*-41)\/((1\/1)\/(-15)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-245))\/((135\/50)\/(-9)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 39. What is the units digit of a + (267 - 1) + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -452*h + 144*h - 339*h.\nAnswer: -647*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 4*o + 4, 0*d + o + 1 = 4*d. What is the derivative of -6*l**2 - 4 + d + 3*l**2 wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5194 + -5150.856. Round f to the nearest integer.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11598, 11013, 10428?\nAnswer: 9843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/1137, 0.1, -1408\/7 in increasing order.\nAnswer: -1408\/7, 2\/1137, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 447 divide 14596489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 1.9 (c) -1039 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 20 = 3*m, 4*o + m = 8*m + 44 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v. Let l = 19 + -25. Let p(r) = 8*r. Let o(i) = l*p(i) + 7*b(i). Let f(u) = 7*u + 2. Give -f(s) + 6*o(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2079.27761 to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15145 or -0.1?\nAnswer: 15145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 4177802.\nAnswer: -4177802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 1054*d**3 - 2 + 6*d**2 - 1053*d**3 - 2*d + d. Suppose 25 = 2*n - 21. Suppose -l - 21 = -3*p, p - n = -0*l + 3*l. Determine i(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 369225903186 + 75.\nAnswer: 369225903261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 268573030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 269*u = 264*u - 43, -u = -69*h + 1312 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/700271 and 71\/29913.\nAnswer: 27310569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6940794 and 70.\nAnswer: 34703970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1957\/5 - 391. What is the nearest to 1\/4 in 12, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 21 in descending order.\nAnswer: 21, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 10*f + 5. Let h be w(9). Let u = h + -133. Let b be (-8)\/u + (-37101)\/7. Round b to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25368.4 to the nearest 100.\nAnswer: 25400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93)\/837 + 1 + (-92)\/216 + (-1)\/2.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 41958570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) 130 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(3\/5))**34\/(((t\/(t*t*t*t\/(t*t**(-33)*t*t)))\/t)\/t*t**(12\/5)*t*t) assuming t is positive.\nAnswer: t**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33a88563b - -4?\nAnswer: 33a885643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*t + u, -54*t = -55*t - 5*u + 35 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -7. Let s be (-3)\/(-12) - (-7)\/m. Solve 5 = -f + 2*q, 2*f + 1 = -3*q - s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7508290753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 2:38 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 982949044.\nAnswer: 2, 7, 11, 17, 227, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-4 - 1) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118208 is divided by 1662.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.9 + -11. Put m, 0.1, 2 in increasing order.\nAnswer: m, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -71) + 70 + -450 + 371?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k + 4*u + 24 = 0, 5*u = -4*k + 9. Let x be (-33)\/2*k\/(-9). Let o = 64 - x. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407346139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/7 - 198*s**2\/7 - 387*s\/7 - 192\/7.\nAnswer: -3*(s + 1)**2*(s + 64)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvv when three letters picked without replacement from vkv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 552288 and 864.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nineteen quarters of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 108, 2, -2\/3, -2\/217, 1, 0.62?\nAnswer: -2\/217","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 6:32 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in -2, -0.49, -5\/6?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 9*j - 81\/4.\nAnswer: -(2*j - 9)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*n**2 + 37*n - 73*n + 36*n in the form a*n**2 + r + o*n and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106203316?\nAnswer: 2, 167, 173, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 24, 0, -2, 4 in increasing order.\nAnswer: -2, 0, 4, 18, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**3\/3 + 2*b**2 - b - 1. Suppose -4*s + 24 = -5*v, 9 = 3*v - 6*v - 3*s. Determine j(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3621 is divided by 1199.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177475, 177504, 177583, 177736, 177987, 178360?\nAnswer: 178879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 106, 103, 98, 91, 82?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101011100010010010011 (base 2) to base 8.\nAnswer: -35342223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 377131169 to the nearest integer?\nAnswer: 19420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 + 200*m**3 + 1790*m**2 - 4200*m + 2205.\nAnswer: 5*(m - 1)**2*(m + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 3*h - 4 + 2*h - 4*h - 4*h + 2*h + 115 - 11*h - 115 - 3 + 2*h + 3 + (-2 + 0 + 0)*(-h + 0*h - h).\nAnswer: -6*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -3*t**6\/20 - 3*t**3\/2 + 7*t**2. What is the first derivative of g(l) wrt l?\nAnswer: -54*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 - 24*v + 5. Let z be f(8). What is the highest common factor of 10 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 278 - 135 - 138 - 10*b + (-4*b + 4*b + 2*b)*(-3 + 3 + 2) - b + b + b in the form s*b + u and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 v when three letters picked without replacement from {x: 1, v: 4, e: 8, r: 3, h: 3}?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2*t + 7*t)*(6*t - 7 + 7) + 2*t**2 - t + 2 - 2.\nAnswer: 44*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -40 (c) -2\/31 (d) -22 (e) -7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -267496438 divided by -11?\nAnswer: 24317858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 12. Suppose -3*j = -1 - 11. Suppose -5*a = 41 + j. What is the units digit of c(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 515405*0.01.\nAnswer: 5154.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5367?\nAnswer: 3, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l = 7*l + 33 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 - 304*v**3 - 19317*v**2 + 39550*v - 19928.\nAnswer: -(v - 1)**2*(v + 94)*(v + 212)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/(-18) - 13\/(-3). Let h be 2\/6 - 22\/(-6). Suppose -h = c*t - t. Let m(n) = -n**2 - 3*n - 3. Determine m(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4\/5 + 11112*p**3\/5 + 15632406*p**2\/5 + 109435104*p - 356503680 = 0. What is p?\nAnswer: -2760, -39, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 309315.\nAnswer: 1855890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 510 and 816.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05035? (a) 0.2 (b) -4 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l**3 - 2176*l**2 + l - 268. Determine k(272).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81358.4 meters to centimeters.\nAnswer: 8135840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 - 66 = -8*o. Sort 2\/11, 0, 2\/5, o.\nAnswer: 0, 2\/11, 2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.41, 6, -0.2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-10)\/(-4560)*-6?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 418904127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 54065 divided by 5?\nAnswer: 10813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 614303.4 weeks in microseconds?\nAnswer: 371530696320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 29.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 462408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 140, -4, -1, -28, 15, -8 in increasing order.\nAnswer: -28, -8, -4, -1, 5, 15, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (-10450)\/110 + 91\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 0*l - 22208 - 7*l**3 + 22208.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 62*y + 11. Let m(g) = g**3 + 14*g**2 - 34*g - 28. Let s be m(-16). Let r(u) = -21*u - 4. Calculate s*d(f) + 11*r(f).\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z*z**(-3\/5)*z**(-1\/2)*(z*z\/(z**(-2)*z))**32*(z**(-1\/3)*z**(5\/3)*z*z)\/(z**(-2\/3))**(-2\/5) assuming z is positive.\nAnswer: z**(3029\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 52940 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255976 is divided by 2436?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11218 and 158.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 55*s**3 - 2*s**2 + 2*s + 1. Let l(j) = 220*j**3 - 9*j**2 + 9*j + 5. What is 2*l(k) - 9*r(k)?\nAnswer: -55*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286 + 50*k - 574 + 54*k + 286 + 19*k.\nAnswer: 123*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*w**3 - 74505 - 12*w**2 + 12*w**2 + 74505.\nAnswer: 147*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115, -217, 1, 16 in ascending order.\nAnswer: -217, -115, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ommoooo. What is prob of picking 2 o and 1 m?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d**3 - 6*d**3 + 3*d**5 + (2 - 1 + 0)*(-2*d**5 + 5*d**5 - d**5) + (4 - 4 + d)*(-5*d**4 + d**4 + 3*d**4).\nAnswer: 4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 275111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*v - 1449 = -2906 + 1457 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -379215490 by 5.\nAnswer: -75843098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6527, -25978, -58033, -102392, -158755?\nAnswer: -226822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1955634355 - 5?\nAnswer: -1955634360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(144) - (sqrt(144) - (2*sqrt(144) + sqrt(144)))) + 1.\nAnswer: sqrt(13)\/18 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*c - 9246 + 8553 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11233*i*q + 3922*i - 41114126*q wrt i.\nAnswer: -11233*q + 3922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**5\/120 + w**4\/24 + 7*w**3\/6 - 10*w**2. Let z(m) be the first derivative of x(m). Give z(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**2 - g - 6. Let c(z) be the first derivative of -z**4\/4 - z**3\/3 - z + 1. Let w(h) = -c(h) + v(h). Give w(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8242 + -7171. What is the greatest common factor of 153 and c?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-8)\/96)\/((-252701)\/(-184)). Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 4*l**2 - 4*l**2 + 30*l**2.\nAnswer: 31*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 85*d**2 + 1600*d + 1680.\nAnswer: -5*(d - 12)*(d + 1)*(d + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 248.5068 litres?\nAnswer: 248506.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21520305 (base 6) to base 4.\nAnswer: -2132032301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000221809 to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 20 = 0, -3*a - 5*j - 930 = 1225. Let o = a + 1147. What are the prime factors of o?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430*h - 612*h = 655*h - 39339 for h.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or -1.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/((38\/12 + -3)*9). Let k(s) be the second derivative of 0 + 0*s**3 + s**2 + 0*s**5 - 1\/15*s**6 + d*s + 0*s**4. What is the derivative of k(h) wrt h?\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 6. Let g(r) = -39*r + 221. Let m(q) = 221*c(q) - 6*g(q). Let z(y) = y. Let d(i) = 2*i. Let t(h) = -4*d(h) + 6*z(h). What is m(t(a))?\nAnswer: -26*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -101*y**5\/60 + 600*y**2. Let p(q) = -q. Determine r(p(s)).\nAnswer: -101*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19\/38*(-4)\/(-1). Suppose 2*n - 384 = -v*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4508 and 26740?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-2 - -1 - 1) + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*k = 1085. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000063562824 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**2 - 7*h**2 - 20*h**2 + (-3 + 0 + 4)*(2*h**2 - 3*h**2 - h**2) in the form g*h**2 + k + s*h and give g.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13272*g**3*i**2 + 28*g**3*i + 175 wrt i.\nAnswer: 26544*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 332097517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - q = -70, -a - 3*q = 8 - 34. Does 23 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + p + 2*p)*(0*p - p - p) + 0*p**2 - 17*p**2 - 9*p**2 as i*p**2 + f + q*p and give i.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -697407, -2789565, -6276495, -11158197?\nAnswer: -17434671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1783 + 2066. What is the remainder when 859 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 - 22) + (5 - 3 - 2 - 21).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = i - 44, 4*a - 2*i - 2*i = 32. Suppose -8*b = -a*b + 45. Calculate the least common multiple of 26 and b.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**3*z**2 + 465101*r**3*z - 6*r**2*z**2 - 26*r**2*z - 4*r**2 - 766*r*z**2 + 2 wrt r.\nAnswer: 12*z**2 + 2790606*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -10. Let w be 6\/k - (-10)\/4. Solve 2*p = -w*j, -j + 0*j = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/(-220) + 186\/(-22).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -97*h + 93*h - 4*m, 3*m = -5*h - 49 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214 = 4*w + 2*r + r, 281 = -5*w + 3*r. Let l = w + 54. Let p(u) = u**3 - u**2 - u. Let q(t) = 2*t**3 + 2*t**2 + 2*t + 2. Give l*q(d) - 2*p(d).\nAnswer: -4*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27678*p**2 - 13358*p**2 - 11673*p**2.\nAnswer: 2647*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -58404313 - 3?\nAnswer: -58404316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hszr when four letters picked without replacement from rsshghz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -6. Let j = q - -2. Solve -3*y + 8*y - 4 = j*r, -2*y = 2*r - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = 2*m + 5*v, 6*m - 2*m + 9*v + 56 = -194 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j**3*l - 2158*j**2*l**2 - 3*j**2 - 275682*l**2 with respect to j.\nAnswer: 9*j**2*l - 4316*j*l**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 194624510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34*t**4 - 332*t**3 - 6*t + 7203874?\nAnswer: 136*t**3 - 996*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -264216.9 to the nearest one hundred.\nAnswer: -264200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*x - 2*x**2 + 67*x)*(-2 + 2 + 5*x).\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awekkeheeeekkk. What is prob of picking 1 k, 1 e, and 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -60 + 26 + -9\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, b: 2, g: 1, f: 6, l: 7}. What is prob of picking 1 l and 1 f?\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + y + 162 = 0, 7*m - 4*m + 100 = -2*y. Let b = -26 - m. Suppose -2*u = b*u - 456. What are the prime factors of u?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**21\/x*x\/x**(-7))**(1\/16) assuming x is positive.\nAnswer: x**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*m - 88731 = 71*m - 3*v, 35484 = 2*m - 3*v. Does 21 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-310)\/300 - (-8)\/(1 + 1). Let p be (8\/30)\/((-2)\/4). Let t = p - h. Which is smaller: -5 or t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 1. Let z(d) = -34*d + 10. Let t(x) = -15*x + 4. Let q(k) = 7*t(k) - 3*z(k). Calculate 3*c(f) + q(f).\nAnswer: -6*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1092970 rounded to the nearest ten thousand?\nAnswer: -1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 55188 divided by -6?\nAnswer: -9198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1899844 rounded to 1 dp?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 426425 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: b\"What is the uth term of -398, -409, -420, -431, -442?\n\"Answer: -11*u - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114\/23 bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53486160 and 477555?\nAnswer: 53486160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4) - 452\/(-8). Suppose 10*g - 8*g = -d. Let w be (9\/(-5) - -2) + g\/(-10). Solve y = -w*y - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**3*q + 43400289*p**3 + 577*p**2*q - 145*p*q wrt q?\nAnswer: -p**3 + 577*p**2 - 145*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.73 - 2.16. Let a = w + 11.66. Let q = a + -18. What is q rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccb when four letters picked without replacement from {b: 5, c: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 0.1, 810?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10451 (base 8) in base 2?\nAnswer: 1000100101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-14\/3)*r)\/r)\/(r*r**(-2)*r) assuming r is positive.\nAnswer: r**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53.6 + 54. Let h = 4 + -15\/4. What is the closest to 0.1 in h, 5, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 200\/(((-2)\/3)\/(6\/9)). Round y to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3517*k**2*s**3 + k**2*s**2 + 3*s**3 + 929*s wrt k.\nAnswer: 7034*k*s**3 + 2*k*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3216 and 4154.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 + 16*w + 20. Let h be n(-2). What is the fourth biggest value in 17, 3\/5, h, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352 and 1364.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -331906 divided by 1\nAnswer: -331906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u + 28 = 2*c, 3*c - 5*u = -2. What is the tens digit of (c\/4)\/((-9)\/(-120))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12780803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 30, 48?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 - 27) + (-34)\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1967889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**6\/120 - 3*q**5\/10 + 5*q**4\/4 - 2*q**3\/3 - q**2 + 18. Let u be l(16). Sort 1, -1, u in descending order.\nAnswer: 1, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27 - f + 5719*f**2 - 5720*f**2 + 76*f**3 + f wrt f?\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6074.805 days to milliseconds.\nAnswer: 524863152000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p**2 + 70*p + 34. Let m(i) = i**2 + i - 8. What is k(a) + 4*m(a)?\nAnswer: -2*a**2 + 74*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2213*l = 134886 - 39727 for l.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 473280 = -24*z. Suppose 213*k = 197*k + z. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*((-750)\/10)\/5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -1583*m + 1585*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 100? (a) -0.4 (b) 5 (c) -1\/10 (d) 1 (e) -0.06516\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*t**2\/4 + 44847*t\/4 + 2906799\/2.\nAnswer: 3*(t + 2854)*(5*t + 679)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0053108828 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16563 + -138?\nAnswer: -16701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 - (112 + (-138 - -54)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5382 * -0.0299.\nAnswer: -160.9218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**5 + q**4 - q**3 + q**2 - q. Let z(s) = s**5 - 41*s**4 + 53*s**3 + 27*s**2 - 69*s + 24. Let u(g) = -10*b(g) + 2*z(g). Let u(d) = 0. Calculate d.\nAnswer: -1, 2\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/511650 and -101\/18.\nAnswer: 511650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785408200.\nAnswer: 2, 5, 157, 25013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*b - 8*b + 3*b - 994 = 0. What is the highest common factor of b and 143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(65) - (sqrt(65)*1*-4 + sqrt(65)))\/((sqrt(50)*1)\/sqrt(10)) + -3.\nAnswer: -6 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1812055 < -1812050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m*s**3*u + 7*m*s**3 + 9*m*s**2*u + 5*m*u + 27*s**3*u - 108*s**3 - 2*s**2 + 27*s*u + u wrt s?\nAnswer: -6*m*u + 42*m + 162*u - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15597214.99757 - -15596649. Let k = t + 566. Round k to 4 dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*s - 3. Sort 0, -12, s in increasing order.\nAnswer: -12, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 10*b = 5*b - 19450, -5*i + 3*b = -97118. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6439*j - 6439*j + 151*j**2 + 11*j**2.\nAnswer: 162*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-25)*10\/(-20). Sort 5, f, -0.2, 8 in ascending order.\nAnswer: -0.2, f, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - k = f - 2187 + 2196, 0 = -3*f + 3*k + 27 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**5\/5 + 3*n**4\/2 - n**3 - 26*n**2 - 60*n + 375. Factor v(h).\nAnswer: (h - 3)*(h + 2)**2*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (-8 - (-14 - (-10 + 7 + -15))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 78176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 18565200 to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = -q + 47 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 9) in base 14?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 8*m**2 + m + 10. Let r be l(-8). Let d be (-2 - (2 + -2))*r. Suppose 40 = -3*f + 58. Sort d, -2, f in descending order.\nAnswer: f, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11526193?\nAnswer: 7, 43, 149, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -81721 divided by 1151?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**3 + 11*p**2 - 5*p + 17. Let x(l) = -l**3 - 4*l**2 + 2*l - 6. Let r(z) = 3*k(z) + 8*x(z). Let j be r(0). Does 7 divide 7*6 + -3 + j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7507162*n**6 - 50685*n**2 - 174.\nAnswer: -900859440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.02, -2\/7, -71, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17929*a*z - 90951853*a + 602*z with respect to z.\nAnswer: 17929*a + 602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, -27.826 in decreasing order.\nAnswer: -1, -8, -27.826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -4, 0.5, 139, 2.3?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22303263?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2232*z + 24896. Calculate f(-11).\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 217 + -97. What is the greatest common divisor of y and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3845\/13454 - 1\/13454. Determine b, given that 4\/7*b**3 - 4\/7*b + y*b**4 + 6\/7 - 8\/7*b**2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1232 and 641256?\nAnswer: 1282512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -90a56 + 1?\nAnswer: -90a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -16) + 82 + 4 + -85.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30.34 + -30.84. Let i = 7 + -4. What is the fourth smallest value in -7, 4, i, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30293 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -1\/1003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3463509975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**3\/6 + 3*q**2 + 2*q. Let l(t) = -t**3 - t**2 + t. Let d be l(0). Let i be k(d). Solve 5 = -i*r + r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 - 4*t**2 + 3*t**2)*(4 + 1 + 0) - 68*t**2 - 103*t**2 - 29989*t + 29991*t.\nAnswer: -186*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 5*b = 13, 5*c - 3 = -4*b + 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 798 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -232 + 12*t + 232 - 5*t**3 + 0*t**3 + t**3 - 8*t**2.\nAnswer: -4*t*(t - 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/87750 and -27\/52.\nAnswer: 175500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 4*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 7, 7, 5, 1, -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112031*a + 4*w = 112036*a + 8, 3*a + 6 = -a + 3*w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -17. What is the third biggest value in o, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 6*s - 10*s = -70 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((81\/(-30))\/9)\/((-28)\/((-1904)\/1275))?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6335*k**3 + 597*k**2 - 726972*k - 2 wrt k?\nAnswer: -38010*k + 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + h**2 - 4*h**2)*(-1 - 4 + 3) + (-4 + 4 - 5*h)*(6*h - 2*h - 3*h) - 2*h**2 + 2 - 2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*v**3 + 18*v**3 - 30*v**3 + 29*v - 10*v as w + x*v**2 + s*v**3 + b*v and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a**(-1)*a)\/a)\/a**(-8))**(4\/7) assuming a is positive.\nAnswer: a**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -q + 683 - 1435 + 685 + q - 348*q**2 wrt q?\nAnswer: -696*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*sqrt(39)\/sqrt(3) - ((sqrt(13) - sqrt(156)\/(sqrt(12) + 2*sqrt(12))) + sqrt(13))**2).\nAnswer: -334\/9 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*f**4 - 7472*f**3 - 434306*f**2 + 218556*f - 27378.\nAnswer: -2*(f + 117)**2*(4*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**3\/6 - 7*f**2\/2 - f. Let v(i) = 14 + 10 - 25. Let l(k) = -21*v(k) + 3*w(k). Let j(a) = a. Determine j(l(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/sqrt(2))**2 + 1)*2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19371017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 - 2*j + 2*j. Let y(b) = 3*b + 22. Let a(d) = d + 6. Let g(q) = 22*a(q) - 6*y(q). Determine g(z(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccxxic. What is prob of picking 3 c?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*w + 11*w - 7*w)*(21 - 18 - 10)*(0*w + w - 4*w) to the form q*w + a*w**2 + r and give a.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 686846?\nAnswer: -686844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23881 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 37*v + 1 - 13 + 8 + 5.\nAnswer: 37*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 8*v**2 + 10*v - 13. Let q be z(9). Suppose -2*f - 2*k - 20 = 0, -2*f + 0*k + k = 5. Which is smaller: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*(-1)\/((-63)\/(-18))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 134 + -280. What is the tens digit of (p\/(-4) - -6)*8\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-4 - -8)) + 1 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 1:10 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3\/8 + 297*a**2\/4 - a\/8 - 297\/4 = 0. Calculate a.\nAnswer: -594, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2254\/15 or 149?\nAnswer: 2254\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 173984, -1, -30, 2 in increasing order.\nAnswer: -30, -1, 2, 173984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 902*m + 1808.\nAnswer: -(m - 904)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/((-35)\/(-28)) - -1. Let c(u) be the third derivative of 0*u**3 + 0*u**y - 1\/420*u**6 + 0*u**4 + 0 + 5*u**2 + 1\/735*u**7 + 0*u. Factor c(p).\nAnswer: 2*p**3*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 17*b - 22. Let c(p) = 19*p - 20. What is -4*c(f) + 5*v(f)?\nAnswer: 9*f - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -5 (c) 117\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -156\/19 less than or equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(2 - 5) - -7. Let n be 40 + 7\/(u\/(-2)). Suppose n = q + 9. What is the remainder when 54 is divided by q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n - 35*n - 3 + 1)*(0 + 3 - 4) in the form s + w*n and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + 1 - (-60 + 8). Let g(x) = x**2 - 3*x - 5. Let h be g(5). What is the second derivative of -3*y**5 - l*y + 26*y + 12*y**h + 7*y wrt y?\nAnswer: 180*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10 + -1)\/(315\/36 - 8). Suppose 0 = -u*i + 13*i - 3. Calculate the lowest common multiple of i and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67\/183 + -2\/61. Which is the nearest to p? (a) -0.5 (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + -1.3. Suppose -35*r + 152 = -17*r + r. Put r, a, 0 in decreasing order.\nAnswer: r, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 202\/17 - 12. Let g = 8.7 - 8. Let p = g - -2.3. Which is the second smallest value? (a) x (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-39)\/3 + 0\/1. Let j = p - -18. Suppose j*g + 47 + 58 = 0. Round g to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -28*f**4 + 1352*f**3 - 13488*f**2 + 40032*f - 10368 = 0.\nAnswer: 2\/7, 6, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 7*b - 9. What is the tens digit of n(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 0)*(-24)\/3. Let y(j) = j + 10. Let l be y(v). Find the third derivative of 3*i**2 + i**2 + l*i**6 + 6*i**6 - 10*i**6 wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67335417087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 0 + 0*c**2 + 5*c + 0*c**3 + 1\/3*c**4. Let o(n) = 2*n - 4. Let a(z) = 2*z - 5. Let v(i) = 4*a(i) - 5*o(i). What is v(g(j))?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5627 - 48827 + 54454 - 2*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 9*c + 22. Let d be g(11). Let v = d - -3. Suppose 2*s - v*s + 32 = 0. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534*h + 764*h + 1188*h + 892 - 892.\nAnswer: 1418*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9859.611 and -0.11?\nAnswer: 9859.501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.911 - -2.111. What is the nearest to -1 in -142, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 - 5*b + 5*b - 2*b**3 - b + b - 3 - b**3 + 3 + b**3 - 2*b**3 - b**3 + (b**2 - 1 + 1)*(-b + 2*b + 0*b) + 11 + 4*b**3 - 11 - 4 - b**3 + 0*b**3 + 6.\nAnswer: -3*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6 = 2. Suppose -j*g - 44 = 2*g. Let u = g + 60. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - t = -4*z + 50, 0 = 5*t + 25. What is the remainder when z is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 145567.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 2:15 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*y + 48*y + 139 = -65 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360780 is divided by 643.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 7*c**2 - 884*c - 2705. Calculate f(-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = g - 3. Let r(u) = -u + u - g*u - 5*u. Let o(f) = 2*f**2. Give o(r(i)).\nAnswer: 200*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w - 16. Let l be v(-14). Suppose 3*c - 3*i = 5*c - 25, 4*i = c - 40. What is the highest common divisor of c and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1562 - 1581 + 4701 - 1557 + 78*z**3.\nAnswer: 78*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + 1 + -4 + 17. Let i be l - 12 - (-8)\/2. Suppose -i = -2*n + 6. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3702162 + 0?\nAnswer: -3702162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 73813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-32)*(-260)\/351?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**4 - c**3 - 2*c**2 - 2*c - 1. Let s(x) = -5*x**4 - 91*x**3 + 2*x**2 + 2*x + 1. Let o(y) = -s(y) - u(y). Factor o(k).\nAnswer: 4*k**3*(k + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -2, -1\/14, -2398?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.708932808 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -260356458 plus 2.8?\nAnswer: -260356455.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 224670\/2341 greater than or equal to 97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 3*h + 4 = -h, 5*j - h - 1 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-36)\/(-30))\/(4\/10). Suppose -o*g + g = -44. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -281 + 517. Suppose f - 1241 = -3*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 14*q**2 - 6*q**2 + 6*q**2 + 8*q. Let j(s) be the first derivative of 0*s - 2 - 3\/2*s**2 - 5\/3*s**3. Calculate -8*j(h) - 3*o(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 8:30 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(-4 - (-54)\/15). Suppose -2*r - f = -4*p, r - p - 3*p = -7. Suppose 2 = 3*x + r*z, -z - 2*z = 15. Solve 3*c = a, -5*a - x = -a - 3*c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 a factor of 33840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, h: 2, j: 3}. What is prob of sequence jah?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1306 is divided by 149.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 17. Let f = t + -11. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v**3 - 13*v**2 + 7*v - 40. Let c = 177 + -165. Let s be d(c). Round s to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48.8 and 353.479?\nAnswer: -17249.7752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5179425996 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21 or -14?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1111 - -11010010013?\nAnswer: 11010002302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + -7 + 19 + -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**10)**(-12)*(x**(-18)*x)\/(x**(-1\/28)\/x) assuming x is positive.\nAnswer: x**(-3807\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*k**4 + 966*k**3 + 232*k**2 + k + 3546633 wrt k.\nAnswer: 60*k**2 + 5796*k + 464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 224034422 - 124?\nAnswer: 224034254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 11. Solve 0*n + n + 2 = -r, 4*r = -k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*d = 0. Suppose -2*z = -4, d*z + z - 2 = -2*n. Suppose 4*b = 14 + 2. Solve 5*y + b + 16 = n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -8607.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 1 = -2*w, 5*w = -276*c + 280*c - 37 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 - 12*q + 11. Give k(-9).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 300571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 i when four letters picked without replacement from skkwkkymsmmmsikkyk?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/13)\/x**(2\/3)*x\/(x\/(x**5*x))*x*(x*x**23)\/x*x)**(-2) assuming x is positive.\nAnswer: x**(-2354\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 282810385613*v - 282810385613*v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 304703, -3\/4, -1\/3 in ascending order.\nAnswer: -3\/4, -1\/3, 304703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*((sqrt(3520)*-2*-6)\/(-3*1*sqrt(1584) - sqrt(1584)))**2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-1)\/(-3 + 2)). Let c be 2\/((6\/(-9))\/a). Let p be (-1)\/(-4) - (-15)\/4. Solve -c*v + 5*u = -17, -p*v - u = v + 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 - 69 = -53*f + 286 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 1167 = 2335 - 1023 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -282, -296, -310, -324, -338, -352?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -83 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1531 + -2?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfpypyeynpy. Give prob of picking 1 f and 2 y.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(32\/94) + 3\/(-4). Solve -x = 4*r - y, -3*y + 8*y + 5 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**2 - 5*d + 37. Let m be q(3). Find the common denominator of ((-336)\/50 + 2)\/(4\/m) and -32\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 5*d. Let r(o) = 2*o**3 + 6*o**2 + 5*o + 12. Let z be r(-3). Sort z, 1, d, -7 in increasing order.\nAnswer: -7, z, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*g + 21*g + 20*g)*(3*g**3 - 3*g**3 + 4*g**4) - 4 + 4 - 3*g**5 + (2*g**4 - g**4 + 0*g**4)*(-g + 3*g - g).\nAnswer: 94*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -90*a**4 + 1616*a**3 + 72*a**2.\nAnswer: -2*a**2*(a - 18)*(45*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2. Let x be -2 - (-889207 - 4 - -2). Suppose 2*f + x - 16089207 = r. What is f rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r + 669 - 2652 + 669 + 663 + 651. Let q(i) = -4*i. Let c(f) = f. Let n(w) = -7*c(w) - 2*q(w). Determine 3*j(t) - 6*n(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 13. What is q(5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*k = 4 + 18, 2*r - k - 4 = 0. Solve -j = r*p + 16, -4*p - 21 = -0*j + j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 6*y**2 - 15*y**2 + 0*y.\nAnswer: -21*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 + 11?\nAnswer: -10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/15, 4\/33149, -2\/19?\nAnswer: 4\/33149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 81*o**2 - 486*o + 1\/6*o**4 - 6*o**3 - 3. Factor u(c).\nAnswer: 2*(c - 9)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 12, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-561512)\/30352*(-284)\/74.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 50\/30 - (-5)\/(-3). Suppose 5*h + 4 + 1 = p. What are the prime factors of (-49)\/(h\/2*1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.4 (b) -0.6 (c) -9 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -1.54, -0.3, 4, -9.2, 7 in decreasing order.\nAnswer: 7, 4, 2\/9, -0.3, -1.54, -9.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d - 6. Suppose -2*f - 5 = -7*f. Let j = -6 + f. What is the units digit of h(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/(((-88)\/(-33))\/8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -172?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68185 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/18 + 479\/6. Suppose 0 = -3*l - l + i. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 5. Suppose -5*h = -20, 2*h = -3*o + 244 - 92. Let f = o + d. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12897 - -14103. What is the remainder when t is divided by 585?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 20 - 0. Let l(g) be the first derivative of 1\/4*g**r + 0*g**2 + g - 2 + 0*g**3. Find the first derivative of l(f) wrt f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 12:38 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - -136a?\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**5 - 557*f**4 + 934*f**2?\nAnswer: -120*f**2 - 13368*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -66792*t. Let h(z) = 6*z. Determine o(h(y)).\nAnswer: -400752*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6440 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 24. Suppose c = -3*p - 14 + 140. What is the remainder when p is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence viz when three letters picked without replacement from {i: 1, v: 1, f: 1, y: 1, z: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5))\/(10\/500*10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 603.552 and 67.6.\nAnswer: 671.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -17. Which is the closest to -0.2? (a) 0.1 (b) 1\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -12*c + 10*c + 150, 0 = 5*c + 3*r - 396. Let z = -81 - -194. Let s = z - c. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*u + 1210 + 1058. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 1:01 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r - 10. Let n be 133\/(-9) - 4\/18. Let l = 8 + n. What is the remainder when m(l) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 266 and -4619189588?\nAnswer: 4619189854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12667294 to the power of 1\/2, to the nearest integer?\nAnswer: 3559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbgrrbrrgjjr. Give prob of picking 1 b and 1 j.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -198*f - 115*f**2 - 67 - 91 + 97*f + 101*f wrt f?\nAnswer: -230*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -33*h**3 - 6*h**2 - 6*h + 21. Let c(p) = 32*p**3 + 8*p**2 + 8*p - 21. Determine 3*c(l) + 4*i(l).\nAnswer: -36*l**3 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -662 - 3047 - 618 - 2*o - 2980 as p*o + g and give g.\nAnswer: -7307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 12 = -4*v, -v = -5*v - 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4728)\/(-30)*315\/14?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (29 - (-13 + 27)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 669 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - 3*n + 3*n + (-3 + 6 - 1)*(3*n**2 + 2*n**2 - 6*n**2) - 245*n**2 + 4*n + 409*n**2 + 396*n**2 + 2 - 38*n - 5*n**2 + 38*n.\nAnswer: 554*n**2 + 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56164898?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -105*x + 315. Give m(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3108 and 3?\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 250 + 28 + w - 4*w + 45 + 97 as m + s*w and give m.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 83539117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 482544 and 6192?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -2\/9, -0.2, 2\/19, -0.08, 7\/79?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6027235, -24108971, -54245203, -96435937, -150681179, -216980935, -295335211, -385744013?\nAnswer: -488207347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + 114?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 + 1.3. Suppose -d - 3*d = 7*d. What is the closest to h in -4, d, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55715, 222944, 501665, 891884, 1393607, 2006840, 2731589?\nAnswer: 3567860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 899031503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 4*q**2 + q - 1. Suppose 3*d + 8 = 4*m + 17, -m = -d + 2. Let i(t) = 2*t**3 + 3*t**2 + t - 1. Let s(n) = m*a(n) + 4*i(n). Determine s(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-2)*(-2)\/(-3). Let m be -3 + 2 + r - -3. Suppose -3*j = -j - 2*a - 52, -32 = -j + m*a. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*h*p**5 + 15*h*p**3 + 30*h*p + h + 12*p**3 + 33*p + 4 wrt p?\nAnswer: 240*h*p**3 + 90*h*p + 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 + 97*j**2 + 131*j + 111. What is the lowest common multiple of 70 and v(-47)?\nAnswer: 5810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Let l(c) = 0 + h - c**3 + 2 - c**2. Calculate the remainder when 16 is divided by l(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 2990*x - 1. Let u(l) = 224*l**2. What is n(u(k))?\nAnswer: 50176*k**4 - 669760*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.13 + -0.15. Let j = -92819.98000112 + 92820. Let z = n + j. Round z to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/14 + 28689\/(-5110). Which is greater: x or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 1727*y - 10410. Give u(6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*(2 + (-3*(-1*sqrt(468) - sqrt(468)))**2).\nAnswer: 16850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 11*n**2 - 2*n + 2. Suppose -4*q - 41 + 17 = -2*t, 6 = t + 4*q. Is j(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 8:07 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 10*a + 8. Let p be h(10). Is 138\/p + (-3)\/12 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbw when three letters picked without replacement from {w: 2, i: 1, b: 2, x: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*m**3 - h*m*n - 441*h*n + 1472*m**3*n wrt h.\nAnswer: -m**3 - m*n - 441*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5159.\nAnswer: 7, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 476 and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 4. Let v(d) = d**3 + d**2 + 0*d**3 - 11 + 11. Let i(r) be the third derivative of r**6\/60 + r**5\/60 + r**2. What is m*v(p) - i(p)?\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*9\/15)\/(((-2)\/(-500))\/((-2944)\/22080)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - y + 1. Suppose 5*g = 2*m - 5, -3*g - 12 = -3*m - 0*m. Let k(o) = -6*o**2 - 5*o + 5. Determine g*k(f) - 5*b(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 3306741.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2112*w**2 + 12*w**3 - 2112*w**2 - 31*w**3 + 15*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 4033368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + k. Let o(s) = s**3 + 19*s**2 - 22*s - 24. Let h be o(-20). Let g be 2\/3 + (-42)\/9. Let f be (-4)\/(h + g)*3. Determine u(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*a**2 - 4*a**2 + 4*a**2)*(2*a**2 - 2*a**2 - 3*a**3).\nAnswer: 6*a**5 - 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3441699 + 40679.\nAnswer: 40678.6558301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 - 0.43. Let f = 3 + -4. Put f, -4\/5, t in decreasing order.\nAnswer: t, -4\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2590 = 4*s + b, 0 = -s - b + 640. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**6 + t**4 - 302*t**2 + 185*t**2 + 231*t**2 + 14*t**4 wrt t?\nAnswer: 240*t**3 + 360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1206600*l = -1206614*l - 994 for l.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**3 - 35355*l**2\/2 + 3604911*l - 3596073\/2 = 0?\nAnswer: 1\/2, 211, 5681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -0.04557.\nAnswer: -0.27342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540539 is divided by 153?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 114845*r - 114844*r, -3*r = -2*j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3163886 to the power of 1\/2, to the nearest integer?\nAnswer: 1779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*w + 80*w + 8*z + 4 = 0, 5*w - 4*z - 819 = -790 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**1)**(-27))**3 assuming z is positive.\nAnswer: z**(-162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 530762 by -265381.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.35 * -0.039.\nAnswer: 0.01365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 579562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 180 = -7*h. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 23 = z. Suppose 0 = 6*o - 8*o - n + 41, 0 = -z*n - 6. Solve 2*d - 10 = -b, -5*d - 3*b = -2*b - o for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8665, 3\/44, -30, 3 in descending order.\nAnswer: 8665, 3, 3\/44, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -36*y**2 + 143*y + 5. Let z be p(4). Solve -8*f + 3*f = -4*w - z, 0 = 2*w + 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 286, 288, 268, 220, 138, 16, -152, -372?\nAnswer: -650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2798*i + 12104. Determine a(5).\nAnswer: -1886","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 708.\nAnswer: -11\/708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82 + -98 + 38 + -70?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97932 - 99557 = 65*b for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -98*r + 563*r + 9491580. Which is greater: r or -20413?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 30*m - 7. Give j(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 28. Suppose z - 7 = -f. Find the second derivative of 19*o**z - o + 25*o**2 + 17*o**2 - 42*o**2 wrt o.\nAnswer: 114*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 - -178. Is 21 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*n**4 - 29*n**4 - 80*n + 86*n**4 - 24*n**3 - 2 - 29*n**4 wrt n?\nAnswer: 12*n**2 - 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2154099 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 432 and 6928128?\nAnswer: 20784384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/(-5)*(3\/(-9))\/((-14)\/(-42)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 + -81. Find the common denominator of (-254)\/(-48) - k\/(-16) and 1\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -6.5, -2\/5, -3, -1451, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 32, -9, 7, 12, 17 in descending order.\nAnswer: 32, 17, 12, 7, 1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2176, 3102, 4026, 4948, 5868, 6786?\n\"Answer: -l**2 + 929*l + 1248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1416153 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 9:19 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50932832 to the nearest integer?\nAnswer: 7137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.943406037 to 3 dps.\nAnswer: -32.943","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5063692 and 20?\nAnswer: 25318460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 + 72.4. Do c and 11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p - 1354250 + 1355249 = 23*p for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -0.1 (c) -3\/35 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-3 + 0 + 0)) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 180?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14aa - 2?\nAnswer: -14b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110784 and 4309824.\nAnswer: 2486768448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -341, -2904, -9899, -23540, -46041, -79616, -126479?\n\"Answer: -369*i**3 - 2*i**2 + 26*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 472856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**3 + 7903*r - 1 + 2*r**3 + 1577*r - 10*r**3.\nAnswer: -2*r**3 + 9480*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 7:41 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - sqrt(99)*-2*5)\/(sqrt(324)*2 + sqrt(324) + sqrt(324)).\nAnswer: 11*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4 - 58*k**3 - 434*k**2 - 702*k - 324.\nAnswer: -2*(k + 1)**2*(k + 9)*(k + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 + 9. Let g(y) = 4*y**2 - 6*y**2 - 7006 + 6997 - y. Determine -3*f(l) - 2*g(l).\nAnswer: -2*l**2 + 2*l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-182 + (-1 - 0))*1. Let w be g\/15 + 2\/10. Let n = w + 26. What is the highest common divisor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 - 2616*m - 54364. What is p(-21)?\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1146)\/(-24) + (-3)\/(-12) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 1876?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -20*k - 6. Let w(t) = 4 + 0 + 4*t - 3. Suppose -4*h - 2 = 3*j + 6, -2*h - 4*j = 4. Let r(o) = h*i(o) - 11*w(o). What is the derivative of r(s) wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24786 = -606*x - 123*x for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2152.960318 and -456.\nAnswer: -2608.960318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 41 - 4?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j = 2. Let t be -7 - ((-18)\/j - 0). Which is the biggest value? (a) 2\/9 (b) -0.4 (c) t (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5909 and 3686?\nAnswer: 1146346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + (513\/36)\/(2\/56).\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (7 + -20 + (-5 - -7) + 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5707390 divided by 27?\nAnswer: 5707390\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 6*c**2 - 5*c + 5. Let g be 1*-1*(2 + -1). Let w = g - 4. Is 2 a factor of h(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40118594 and 43286?\nAnswer: 1882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8141\/5 - 1628. Which is the closest to 2\/7? (a) d (b) 988 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -262.\nAnswer: -5\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5\/5 + 2*j**4\/5 - 7*j**3\/5 + 4*j**2\/5.\nAnswer: j**2*(j - 1)**2*(j + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -p - 0*p + 225, -87 = -2*u - p. Let z = -28 + u. Let x = -19 + z. Let d(i) = 3*i - 1. Calculate d(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 494041366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/873 and 56\/2139129?\nAnswer: 207495513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001346299668 rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 11 = 13, 2*v - 4*z = -18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8145723?\nAnswer: 3, 29, 93629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 8*f + 9. Let p be d(6). Let a be 1\/(3\/(-45)*p). Suppose 0 = 2*l - 47 - 3. Solve -4*q - 4*m = -2*m - 10, a*q - 5*m = -l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 + 0*p**4 - p**4)*(4 + 3 - 5) - p**4 + 2*p**4 + 0*p**4 + (6 + 3 + 7)*(2*p**4 - p + p).\nAnswer: 29*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-3)\/9*0. Suppose -2*d = -3*d + h. Suppose -d*m = -46 - 2. Solve 7*f - w = 3*f + 4, 2*w - m = -4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**4 + 3*o**4 - 3*o**4)*(6*o - 26*o - 4*o) + (-2 + 2*o**3 + 2)*(-5*o**2 + 5*o**2 + 2*o**2).\nAnswer: -20*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/5 (b) -5860 (c) -0.4 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1476 divided by 369?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*w + 481*w**2 + 924*w**3 + 13*w + 11*w - 12*w wrt w?\nAnswer: 5544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110022222210 (base 3) to base 12\nAnswer: 314040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 372 divide 7131612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**4 - h**3 + 6*h - 1. Let z(g) = -g**4 + g**3 + 1. Let f(v) = 2*l(v) + 2*z(v). Find the second derivative of f(q) wrt q.\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*19.2.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 (base 12) in base 8?\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.2, -0.0053, -6, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 173 = 203. Suppose p*g - 2*g = -k + 28, 0 = -2*g - 2*k + 20. Solve 3*o = g*o - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63227919.\nAnswer: 3, 101, 208673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 29*y**2 + 267*y + 281. What is i(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 - 23 = 12*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/110)\/(-4)*7*(-22)\/2?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 14*d + 8. Let q be o(13). Let m = 0.05 - 3.05. Which is the third biggest value? (a) m (b) 0.6 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88391 and 628.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*21*(-72)\/27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (0 + 1) - (159 + -167)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 1. Suppose -12*s = -7*s - 80. Let g be -2 - 0 - (s\/(-4) - -33). Let y = -30 - g. Determine o(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -1 (c) 6 (d) -0.3 (e) -0.257\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrvrvrrrrrv. Give prob of picking 1 r and 3 v.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-275 + 284)*(-4)\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -617*f + 626*f = 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2. Suppose p*b - 2*b + 4 = 0. Suppose -g = -b*x - 13, 2*g = 2*x + 6*g - 12. Put 0, x, -3 in ascending order.\nAnswer: x, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyzyzzzyzy. Give prob of sequence yzy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 25, 3*i - 3*s = -2*s + 31051. Suppose 0*f + i = 5*f - 3*y, 5*y - 10360 = -5*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3023165, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -9644\/3 + 3214. Which is the third smallest value? (a) l (b) 17 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 4*h - 187 = 11*b - 196, 63*b + 3*h - 134 - 178 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -122 - -120.86. Let u = t - -74.14. Let n = -69 + u. Which is the smallest value? (a) 2\/3 (b) n (c) -2\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 3. Suppose 7*u = 3*u + 32. Let c = -8 + u. Give v(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 217? (a) 32 (b) -3 (c) 1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7603 or -448?\nAnswer: -448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + (-15)\/(-9))\/((-53)\/(-69642))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2800.983 minus 4?\nAnswer: -2804.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((11 - 23) + (0 - 0)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - 6. Let w(j) = j**2 - 14*j + 1. Let g be w(13). Is y at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*r**2 + 5134*r + 5140*r + 5149*r - 15423*r.\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1592 and 14?\nAnswer: 11144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 208860 and 2?\nAnswer: 208860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1696 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: Expand (-3*d + 8*d + 0*d)*(d + 2*d - d) - 4*d**2 - 3*d**2 + 5*d**2 + (-4 - 3 + 4)*(-21*d**2 - 437*d + 437*d).\nAnswer: 71*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 565175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -20*4\/(-56) + (-4)\/(-7). Let i be ((-15)\/(-3))\/((-2)\/(-4)). Find the third derivative of 11*p**2 - i*p**5 - 2*p**o + 24*p**5 wrt p.\nAnswer: 840*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/3))**(5\/6)*(i*i*i\/i**(2\/9)*i)**49 assuming i is positive.\nAnswer: i**(1676\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30834 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 2*h**2 + 5*h + 4. Let b = 22 - 14. Suppose s + b = n, -3*s - 5*n = -2*s - 16. What are the prime factors of d(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/6)*f**(2\/5)\/f*f**(-9)\/(f**(-2\/11)\/f))\/((f\/(f\/(f\/(f\/(f**1\/f)*f))))**8\/(f*f**(-1)*f*f)**(-38)) assuming f is positive.\nAnswer: f**(-25273\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 891976659.\nAnswer: 3, 7, 691, 61469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -18 and 111533367.\nAnswer: 111533349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.83 * -0.26747.\nAnswer: 0.2220001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3 + 3704*v**2 - 63406*v + 261660 = 0. Calculate v.\nAnswer: -1869, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.006507638743 from -1962.\nAnswer: -1961.993492361257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 406 divide 909960366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-36)\/24)\/(45\/24 + -2). Let n be (105 + -3)*(-14000)\/h. Round n to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 191991165 and 290.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, w: 6, o: 1, d: 5, p: 3, z: 2}. What is prob of sequence wdw?\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3538537 and 0.5.\nAnswer: -1769268.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -332, 5 in descending order.\nAnswer: 5, -15, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 93130290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 + 74*d**2 + 36*d + 1532. Calculate z(38).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 - 233*s**2 - 101 + 163*s**2 + 71*s**2.\nAnswer: s**2 - 176","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x + 3*x - 39*x + 9*x + 12*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 673707, 673715, 673729, 673749, 673775, 673807, 673845?\n\"Answer: 3*h**2 - h + 673705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 7*c - 28. Let r(o) = -2*o**2 - 7*o + 0 - 7*o**2 + 8*o**2 - c. Suppose 0 = 2*g + 13 - 3. What is r(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 - 2178*j + 10873. Determine k(5).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1981*i + 2823. Give j(2).\nAnswer: -1139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4*8 + 4\/(-2). Suppose 5*w - 236 = -0*w + 2*s, 0 = -3*w + q*s + 140. What is the remainder when w is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unjjdrjjjljjjrjjnlr. What is prob of picking 1 l, 1 u, and 1 j?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 13 (b) -5 (c) 1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 737\/28364 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -20 - 171 + 186 - 4*w**2. Let u(c) = 13*c**2 + c + 16. What is 7*m(x) + 2*u(x)?\nAnswer: -2*x**2 + 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 2250\/(-210))*-1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63903.15 months in years?\nAnswer: 5325.2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 14 = q, -a + 59*q = 54*q + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (1 - (0 - -5)))\/(87 + -72).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15 times 0.121\nAnswer: -1.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 4*p - 1. Let q be g(2). Let j(r) = -r + 8 - 9 - 2. Let t be j(-3). Solve q*a - 2*a - 2 = t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*m**3 + 1)*(-1 - 45*m + 37813*m**2 + 1 - 37821*m**2).\nAnswer: -24*m**5 - 135*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 883\/108 + -33\/4. Let b = n + 20\/27. Factor b*k - k**2 + 0 + 1\/3*k**3.\nAnswer: k*(k - 2)*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/54)\/((-4)\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-5) + 209\/55. Suppose 5*y = a*p - 5, -2*y + 12 = 2*p - 4. Suppose -y*f + 14 + 40 = 0. What is the remainder when 69 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -4 (c) 0.01 (d) 20 (e) -74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 47*z**2 - 119*z**2 + 54*z**2 + 54*z**2 + 21*z**2.\nAnswer: 57*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-4 - 28\/(-8)). Suppose -j*m + 0*m = -34. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r + r**3 - 5*r**3 + 6*r**3 wrt r?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - -5) + 129 + -103 + 0 + -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11881763, -11881764, -11881765?\nAnswer: -11881766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 40 = 3*q. Let o = -1 + 3. Suppose 12 = o*v + 2*v. Solve -t + 3*k + v = -6*t, -k = -2*t - q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 2. Suppose k*s = 14*s + 13800000. Round s to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 1. Let u be (71\/2485)\/(1*4\/14). Which is the closest to 0? (a) v (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 11:59 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-78)\/(-3) + 3. Let b be (1\/3)\/((-5)\/l). Put b, -14, -5 in ascending order.\nAnswer: -14, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -88\/5 in 0.1, -1, -1\/2, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/12 - (-13)\/3. Let g = f + -4. Calculate the common denominator of g*4\/10 - 2 and -119\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9.142088 and -34.\nAnswer: -43.142088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*q - 134*q - 11 + 11)*(32*q - 3367 + 3367).\nAnswer: -6176*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**3 - 6*f**3 + 6*f**2 + 11 - 21 - 5*f + 9 + 7 + 4*f. Let b(a) = -a**3 + 3*a**2 + a. Let m be b(2). Determine g(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010877773 to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 9)*(-43383 - 422*g + 43383).\nAnswer: -4220*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 3265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-117 - 11) + (23 - (-4 + 29)\/5)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111571471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 5\/((-20)\/32). Suppose -116 = -o*p + 3*p. Solve 2*z + p = -2*r - 3*r, 0 = -3*r + z - 13 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2985 by 5.\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*j**2*k**2 + 374*j*k**2 + 48724*k**2 wrt j.\nAnswer: 72*j*k**2 + 374*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*d + 2*l, -4*l - 1 = -5*l. Let z be -1 - (d\/3 + -1). What is the nearest to 0.1 in z, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7569 or -7143?\nAnswer: -7569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.295 - 0.005. Which is the closest to -2\/9? (a) -3 (b) 6 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in -5, 0.1, 5, -1\/463, 3?\nAnswer: -1\/463","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -90924 divided by -5\nAnswer: 90924\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -590711991638 - 6.02?\nAnswer: -590711991644.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 885684 and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 3*p - p**2 - p)*((0 - 4 + 1)*(0 - p + 0) + 4*p - p - 5*p)*(3 - 3 - 3*p).\nAnswer: 3*p**4 - 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 381144?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000986715 to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2 + 80*h - 83*h + 4. Give d(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9042718.\nAnswer: 2, 4521359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 4 = 110*h - 111*h, -2*d + 3*h - 8 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9480744 divided by 2\nAnswer: 4740372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -96*d**3 - d**2 - 75*d + 309. Find the second derivative of a(c) wrt c.\nAnswer: -576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f - 4 - 4*f**3 + 2*f + 5*f**3 + 7*f**2 + 6*f. What are the prime factors of r(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 1 - 3)*(18*z - 10*z - 4 + 7*z) as f + v*z and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -85.8.\nAnswer: -257.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 divided by 6?\nAnswer: -67\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**2 + 3*j**2 - 4*j**2)*(2*j + 3*j - 4*j)*(-164 - 183 - 134 - 86) as x + c*j**2 + p*j**3 + w*j and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q = -4217 + 4189. Solve 0*f + 11 = 3*f + i, q*i = 4*f - 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 332 and 831494?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 107744 divided by -26936?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261062 is divided by 26105?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 324.1009719 and 1.234.\nAnswer: 325.3349719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3648 - 3643. What is the smallest common multiple of v and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 9. Suppose -d - z*d + 81 = 0. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2 = -2*d, h - d + 0*d + 1 = 0. Suppose k + 3 - 2 = 5*n, k - 3*n - 1 = h. Solve 3*g + 0 - 3 = t, -2 = -2*g - k*t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 13369405381.\nAnswer: -13369405380.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 160 + -2?\nAnswer: 15c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -73, -0.4?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 + m**4 + 0*m**3)*(2*m - 3*m + 8*m) + m**3 - 1 + 12*m**5 - 2*m**5 - 7*m**5.\nAnswer: 10*m**5 + m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 764702 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 3*o - 3*o)*(2*o**3 + 0*o**3 + 0*o**3) + 15*o**4 + o**4 - 4*o**4 + (4 + 2*o**2 - 4)*(-o**2 - o**2 + 0*o**2).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6920803 microseconds to milliseconds.\nAnswer: 0.0006920803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 8 - 20. Let h be (-18)\/(-6)*(-4)\/y. Solve h + 1 = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 127 and 1071.46989.\nAnswer: 1198.46989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 56026260 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -209851.2, 0.07, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4 - 2786*a**3 - 1142582*a**2 - 114109926*a = 0.\nAnswer: -623, -147, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5987 * 0.4.\nAnswer: 0.63948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 12 = -4*a + 4, 5*m + 4*a = 16. Suppose 3*y - 12 = -m*y. Solve 5*z - r - 12 = 0, -r = -y + 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386204955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 - (41 + -45)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202, 1236, 3992, 9328, 18102, 31172, 49396, 73632?\nAnswer: 104738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3 - -3) + (5 - 9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -86 in decreasing order.\nAnswer: 3, -1, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/11 and -76\/15729.\nAnswer: 173019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11540?\nAnswer: 2, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 88\/(-33)*6\/4 - -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.002619 * 28.81.\nAnswer: 0.07545339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 + -37. Suppose -192*z + 151 = 1687. Let q = g - z. Calculate the greatest common divisor of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(272) + (sqrt(272) + 1*(-3 + sqrt(272)))**2 + (sqrt(2057)*2 + 1)**2 + -5.\nAnswer: 9319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3304 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3912 and 2771?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + -2.7. Let v = f - -2. Let w be -2 + 3 + (220\/36)\/(-5). Which is the closest to -2\/5? (a) 3 (b) v (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**4\/4 - 22*m**3\/3 - m**2\/2 + 13*m - 2594. Determine s(22).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(68)\/sqrt(4)*-3)**2.\nAnswer: -918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 384 and 303456?\nAnswer: 1213824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/3 + (9 - -2393) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**6\/h)\/h)\/(((h\/(h*h*h**(-3\/5)*h))\/h)\/h)*h**(-3\/4)\/h**(-4))\/((h*h**4)\/(h\/(h*h\/h**(-1))))**(-10\/3) assuming h is positive.\nAnswer: h**(2039\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -1. Let m(i) = i**2 + 6*i - 3. Let v(x) = 4*b(x) - m(x). What is v(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 235 and 6.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*c - 255*c + 93*c - 201*c.\nAnswer: -204*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7389 and 9?\nAnswer: 7389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-5\/7)*g**(6\/7)*(g\/g**(-2\/35)*g)\/(g\/(g*g\/((g*g*g**(2\/15))\/g))) assuming g is positive.\nAnswer: g**(46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3439 - 3436 + 10308 + 108*v - 3433.\nAnswer: 108*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/11 - 25*y**2\/11.\nAnswer: y**2*(y - 5)*(y + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 225952, 451915, 677894, 903889?\n\"Answer: 8*z**2 + 225939*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*b - 8 = 4*r, -r + 9 = 3*b. What is the remainder when 34 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18177 and 3237?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfmmmmfmmfm. What is prob of picking 1 f and 2 m?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/25 - 62\/(-10). Suppose -3*z = -t*z + 3. Suppose y + z - 38 = 0. What is the remainder when y is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 823819 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + (18 - 6 - 6) + -18.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 4 (c) 21 (d) -2\/3 (e) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, e: 1, x: 3, o: 2, s: 1, g: 1}. What is prob of picking 1 s, 1 q, and 2 x?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/3152*(3 + (-12)\/6). Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**3 - 7870*t**2 - 388605*t - 1094850 = 0. What is t?\nAnswer: -45, -3, 1622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35\/87 + -1\/435. Let y(j) be the first derivative of 1\/6*j**6 - 8\/3*j**3 + z*j**5 - 2*j - 1\/2*j**4 - 5 - 7\/2*j**2. Factor y(o).\nAnswer: (o - 2)*(o + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 8*i**2 - 5*i. Let m(o) = -o**2 - o + 1. Let h(g) = 11*g**2 - 4. Let s(n) = -h(n) - 4*m(n). Let y be 2*4\/2*1. Calculate y*j(k) + 5*s(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 65*w**3 + 11*w**2 + 11*w - 11. Let o(j) = -33*j**3 - 6*j**2 - 6*j + 6. What is -6*n(d) - 11*o(d)?\nAnswer: -27*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**8\/560 - h**7\/280 + h**6\/60 + 7*h**3\/6 - 4*h**2 - 4*h + 7. Let w(b) be the second derivative of m(b). Factor w(v).\nAnswer: -3*v**2*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 2. Let o(a) = -64*a + 5. What is o(k) - 2*x(k)?\nAnswer: -62*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*1716\/2366)\/((-8)\/(-52))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 354*r - 352*r. Are 53 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 10 - 5. Let g be (p + -3)\/(8\/(-268)). Suppose 0 = 2*c - g. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 6345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 20*y**3 - 96*y**2 + 11*y + 1347. Let g(h) = -7*h**3 + 31*h**2 - 4*h - 448. Let b(c) = -4*a(c) - 11*g(c). What is the first derivative of b(i) wrt i?\nAnswer: -9*i**2 + 86*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13062*h - 1921 wrt h?\nAnswer: 13062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4\/3*h**3 + 20\/3*h**2 + 8\/3*h - 32\/3 = 0?\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -22*l - 22. Let z(k) = 1 + k + 613*k**2 - 1204*k**2 + 592*k**2. Give -w(i) - 22*z(i).\nAnswer: -22*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39377 and -4?\nAnswer: 157508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, 3, 2 in decreasing order.\nAnswer: 6, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 714908 and 2668.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**5 + 819*c**4 + 42282*c**3 + 876906*c**2 + 8063955*c + 27173475 = 0. Calculate c.\nAnswer: -213, -21, -15, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19abd - 16?\nAnswer: 19aa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 9*j + 4725. Suppose j = 13*s - 4*s. What is the remainder when s is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/8 - 317*v\/2 - 3813\/8.\nAnswer: (v - 1271)*(v + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4 + 3*v - v + v - 2*v. Let f be t(0). Suppose 4*d + 138 = f*b - 54, 106 = 2*b - 4*d. What are the prime factors of b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -230.01 + 230. Let h be 2*1 - (-40)\/(-30). Put f, h, 0.2 in increasing order.\nAnswer: f, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 10323*o - 247676. What is p(24)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 25 = b + 6, 0 = 5*b - 3*t + 20 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-7))\/((-30)\/(-980)). Let x be 105\/z - ((-45)\/(-12) - 3). Solve -4*s - x = -11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -146 and -1.319486445.\nAnswer: -147.319486445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-2 + 1)\/1. Let s be (2\/2)\/(l - -2). Let i be (s\/3)\/(7\/(-3)). Which is the closest to -1\/2? (a) i (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2220 (base 3) to base 10.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(500) + 0)**2 + -1 - ((sqrt(180) - (-1 + sqrt(180)))*5)**2).\nAnswer: 1896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 3 + 21 = 0. Suppose -4*g + 2*g - 26 = -2*j, 35 = i*j - g. What is the remainder when 65 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 + -36. Suppose 4*q + 4*j = 28, 3*q + 3*j + 3 = 4*q. Let z = q - f. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmx when four letters picked without replacement from {x: 13, m: 5}.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 11:06 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 8850.\nAnswer: 97350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 13) to base 12\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 13. Let c = 5 + a. Let m(i) = -i + 20. Let z be m(c). Solve 2*s - z = -3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**6\/105 + n**5\/5 - 61*n**4\/42 + 4*n**3 - 36*n**2\/7 + 580*n. Factor x(z).\nAnswer: -2*(z - 6)**2*(z - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 299926029 by -99975343.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - o**2)*(-34*o - o**2 + 34*o) in the form g*o**2 + c*o**3 + u + d*o + b*o**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10465035?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 0.1 (c) -4 (d) -2138.8 (e) 0 (f) 1\/2 (g) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/57 in -0.1, -4, 0.339?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25678116 and 18?\nAnswer: 25678116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -6. Solve 20 = 8*x - f*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 1:49 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 366*g*p**2 - 7*g*p - g + p**2 + 104*p - 9 wrt g.\nAnswer: 366*p**2 - 7*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-22)\/(-19))\/((-8883)\/(-24111)). Determine u, given that -16\/7 + 1\/7*u**3 - 5\/7*u**2 - s*u = 0.\nAnswer: -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/1076, -5, 2\/3 in decreasing order.\nAnswer: 2\/3, 3\/1076, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7056456 and 264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 26409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 586, 597, 622, 667, 738, 841, 982?\n\"Answer: o**3 + o**2 + o + 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 2*o**2 - 2*o + 2. Suppose -3*y - 3 = -33. Let n be (1 + (0 - y))*-2. Suppose 5*s = -u + n - 4, -4*u = 5*s - 26. Give p(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -25143*l + 485. Let n be r(-5). What is n rounded to the nearest one thousand?\nAnswer: 126000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d*d**(-37))))\/(d*d\/(d\/(d\/(d*d**(-7\/3))*d))))\/(d**(1\/26))**27)**13 assuming d is positive.\nAnswer: d**(-3227\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i + 8*i - 3*i**3 + 679*i**2 - 7*i - 184*i**2.\nAnswer: -3*i**2*(i - 165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -3, -336?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 937, 970, 1031, 1126, 1261, 1442?\nAnswer: 1675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x + 8*x + x - 6*x. Let q(c) be the third derivative of -c**4\/4 - 12*c**2. Give v(q(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/6*12\/(-51).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 - 1 + 1 + (0*u + u**3 + 0*u)*(-5*u**2 + u**2 + 3*u**2) + 0*u - 2*u**5 + 0*u - 2*u**5 + 2*u**5 - 6*u**5.\nAnswer: -11*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 32d (base 16) to base 14\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -382717 or -382714?\nAnswer: -382717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (135 - 56) + -22 + (61 - 1)\/(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(153) + -2*sqrt(153))**2*4 + ((sqrt(51)\/sqrt(3) + -3)**2 - (-1 + (sqrt(153))**2))*-2.\nAnswer: 12*sqrt(17) + 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 27*u**3 - 3*u**2 - u - 5. Is t(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 - 9*f - 199 - 97.\nAnswer: -9*f - 407","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 0 (c) -0.2 (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 278*g - 78023.\nAnswer: (g - 173)*(g + 451)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**7\/840 - p**6\/90 + p**5\/30 - 7*p**4\/24 + p**3 - 1. Let s(v) be the third derivative of i(v). Give s(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + 424?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 25*d**2 - 108*d - 215. Let o(r) = 8*r**2 - 31*r - 71. Determine -7*o(k) + 2*v(k).\nAnswer: -6*k**2 + k + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 54. Suppose -2*c = -t + 30, -4 = c - 0. Let m = o + t. Does 23 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3 + 3 = 0. Solve -l*x = -3 + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (sqrt(128) + -1)) + -5 + 0 + sqrt(128)*-2)**2 - (sqrt(72) + -3 - sqrt(4)\/sqrt(2)*3)**2*-5.\nAnswer: 38*sqrt(2) + 663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1039*d + 1814*d + 350*d + 2783*d in the form m*d + c and give m.\nAnswer: 5986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35289\/104 - -4416\/13. Let z = -0.4 + 0.3. Which is the closest to z? (a) 5 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/12 - 100\/(-12). Which is greater: z or 7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 + 3 = -3*p, -4*n = -2*p - 18. Suppose 9 = -n*k - 2*h + 33, k - 1 = 2*h. Solve 2*v - 7 = -l, 3*v - k = l - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -27. Suppose 0*q - 21 = -5*f - v*q, -5*f + 23 = 2*q. Suppose -36 = -2*z - 4*h, 4*h = z + 2*z - 14. Solve -f*y - 4*g = z, -y = 2*y - g + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 d when three letters picked without replacement from {j: 1, d: 2, w: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + ((-78)\/(-3) - 2). Suppose 2*f + q = 4*f. What is the lowest common multiple of 14 and f?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2219074789 to the nearest integer?\nAnswer: 47107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b + 9 = u, 6 = -u - 2*b. Suppose -2*y - u*z + 76 = -18, 6 = 2*z. What is the remainder when 408 is divided by y?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f - 35*f - 7*f.\nAnswer: -32*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -23 - -18 - (-1 - 19). Solve p - k = -2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1465*d - 1465*d - 7*d**2 + 1 + 3*d**3 to the form y*d + k*d**2 + x*d**3 + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 319401529 a multiple of 1766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u. Let n(s) = -4*s + 0*s + 5*s + s**2. Let v = 4850 + -4849. Give v*n(m) + p(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2022144 divided by 12\nAnswer: 168512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a meter in centimeters?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 + 0.11. Let j = 1 - -2. Let u be (-2 + (-18)\/(-8))\/(-1). What is the nearest to u in 0, j, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 415 + 415.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x + 4. Let k = -4 + -4. Let z = 13 + k. Let r(q) = 2*q + z*q + 3 - 4*q. Give 3*r(o) - 2*y(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(1 + 0) + 7. Let u(n) = -n**3 + 6*n**2 - n - 5. What is the tens digit of u(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -30 + -2 + 1 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 0*o**2 - 100\/3*o**3 - 22 - 28*o. What is the first derivative of x(d) wrt d?\nAnswer: -200*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4\/7)*k*k*k\/k**(1\/2)*k*k*((k**(-2\/9)*k)\/k)**(-40))**(-2\/29))**(-2\/17) assuming k is positive.\nAnswer: k**(190\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 27529*y + 935988. What is c(-34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 117 * 456316.\nAnswer: 53388972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*v - 40 = 0, 4*p - 2*v - 46 = -6. Suppose 34*z = 22*z + 22*z - 250. What is the lowest common multiple of z and p?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11751*f + 5225 - 1741 - 1745 - 1739 as r*f + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5247*0.3.\nAnswer: 1574.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*q = -9. Let k(g) = g**2 + 9*g + 12. Let i be k(-8). Is i at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = 14*p - 15*p. Let n(d) be the first derivative of 7*d**2 + 0*d - p + 0*d**3 + 7\/4*d**4. Find the second derivative of n(j) wrt j.\nAnswer: 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*o + 10, -4*u + 3*o + 2 = -4. Do 5 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 3:49 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/(-10))\/(0 - 2\/4). Solve 0 = s*y - 5*c - 5 + 22, 3*c = 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93400, -186705, -280010, -373315, -466620?\nAnswer: -559925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7.553, 92.\nAnswer: 3, 7.553, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*k*p**5 + 29*k*p**2 + 22*k*p - 3*k - 3*p**5 + 18 wrt p?\nAnswer: -140*k*p**3 + 58*k - 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6815.753m in kilometers?\nAnswer: 6.815753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -2*r**3\/33 + 24*r**2\/11 + 50*r\/11 - 94. Factor x(m).\nAnswer: -2*(m - 25)*(m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 89, 204, 359, 554, 789?\nAnswer: 1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -56\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 5*c = 0. Let d = c + 36. Suppose -d = -5*j - 1. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -332, -300, -248, -176?\n\"Answer: 10*b**2 + 2*b - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 236 + -239. Is r <= -30\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3 - 7. Calculate the greatest common factor of 90 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4119127 to the nearest integer?\nAnswer: 2030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4 - 1630*x**3 = 0. Calculate x.\nAnswer: -815, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4)*14 - (-6)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(35)\/(sqrt(7)*-2) + sqrt(25)\/(-1*sqrt(5)) - sqrt(60)\/((sqrt(180)\/sqrt(3))\/sqrt(5)))**2 + 1 + -3.\nAnswer: 125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -28*f. Let w(t) = 2*t - 4. Let x(b) = 2*b - 6. Let y(o) = -6*w(o) + 4*x(o). What is l(y(m))?\nAnswer: 112*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*w**5\/7 - 2103*w**4\/7 + 1950*w**3\/7 - 456*w**2\/7 = 0. Calculate w.\nAnswer: 0, 4\/9, 1\/2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - 10101?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -2. Let u be 1 - (-1)\/(-6)*10. Suppose -4*s = -2*s - 2. Which is the nearest to s? (a) 5 (b) x (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 3*t - 18, -73992*t + 17 = 27*h - 73994*t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-26) - 2\/13. Let k = z - -9. Solve -3 + k = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/143 + 722\/(-22). Let k = 10 - z. List the prime factors of k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 8*d - 5. Calculate p(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 1\/4*t**3 + 0*t - 1 + 3\/4*t**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-24)\/(-84)*(-35)\/(-25))\/(2\/197555) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40055895 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from eyliieyyyii.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-237)\/158)\/(11\/((-44)\/96)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1757357.544 to the nearest 1000.\nAnswer: 1757000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4143987 and 0.055.\nAnswer: -4143986.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -159 or -183?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - l**2 + 2*l - 10. Let g = -27 - -20. Let y be j(g). What is the tens digit of y\/6 - (7 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 8*y = -6*y - 6*y + 20, -y - 714 = 128*r - 3*y + 58 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*k**2 + 0 - k**3 - 64*k**2 + 11 to b*k + u*k**3 + w*k**2 + z and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 8. Let z be f(-8). Suppose -2*c + 3*g - 166 = 2*c, -5*g - 225 = 5*c. Let k = 63 + c. Solve j - 5*j + k = z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3*j**2 + 0 + 6*j + 4*j**2)*(2 - 3 + 5)*(-j**2 + 4*j - 4*j) to the form v*j**2 + f*j + g*j**4 + b + p*j**3 and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g. Let j(r) = 13609331*r. What is s(j(x))?\nAnswer: -40827993*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3\/3 + 450*k**2 + 458116*k\/3 - 932360 = 0. What is k?\nAnswer: -286, 6, 1630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1772 and 35\/12?\nAnswer: 5316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 23270 - 23270 + 344*p as v*p + y and give v.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 4*k = -3*l + 15, 5*l = k - 23 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2426 - 1064 - 1103)*(0 + 0 - x)*(2 + 3 - 6).\nAnswer: 259*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 57*v = 56*v - 47, 28 = 2*y + v. Which is the third biggest value? (a) y (b) 17 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1013354 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 321.\nAnswer: 2889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 greater than 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (10\/15)\/(154\/(-42))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3095, -3074, -3049, -3026, -3011, -3010, -3029?\nAnswer: -3074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = -14*a + 40*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 72, 182, 386, 714?\nAnswer: 1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/7 and 0 + (-1069)\/(-151) - (27 - 20).\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*u**2 + 118*u**2 + 110*u**2.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/53)*w*w*w\/((w\/(w*w**(-16)*w))\/w) assuming w is positive.\nAnswer: w**(-581\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, p: 2, f: 7, y: 4, j: 5}. Give prob of sequence jyp.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2 = -7, 14 = 4*r + 2*p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v + 1. Let n = -26 + 36. Let u be n\/(-35) + 4\/14. Suppose -t + 2 - 4 = u. Determine s(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 313617 + -109220. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 662 - 218 - 223 - 221 + 103*u**2.\nAnswer: 103*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1602.69 years?\nAnswer: 16.0269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 37 - 95. Let y = 20 + -39. Let x = q + y. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**4 + 143*a**3 + 561*a**2.\nAnswer: 24*a + 858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 5:06 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 333269, 333274, 333279, 333284?\n\"Answer: 5*q + 333264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 237886 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((8\/6)\/(-4))*858\/117?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 g, 1 o, and 1 b when four letters picked without replacement from {i: 2, y: 4, g: 4, o: 2, b: 1, u: 7}?\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 43*k - 5*k**2 - 46*k + 4*k**2 + 4*k**2 - 6. Let c be a(-5). Suppose -20 = 4*t - c. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*o - 25. Let x be -1 - (0 + (-2)\/3). Let c = -11.8 + 12. What is the nearest to x in c, -3, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -385*d + 87661. Give p(231).\nAnswer: -1274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 45 = -26*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 84 = -5*s, -s - p = -5*s + 63. Let n = -21 + s. Let x be (-3178)\/n + 2\/6. What is x rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134571678 to the power of 1\/2, to the nearest integer?\nAnswer: 11601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0.3. Let b = -29 - -28.8. Let i(m) = -m**3 - 5*m**2 - m - 5. Let c be i(-5). What is the nearest to c in 0.4, o, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/5)\/((-27588)\/(-1672)).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 0*q**2 + 8*q**2)*(2 - 4 - 2)*(-q - 3 + 3).\nAnswer: 36*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167867, -671637, -1511519, -2687729, -4200483?\nAnswer: -6049997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 1287612?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -h - 3*a, -4*a - 5 - 5 = -2*h. Suppose 3*p - d + 80 = -6*d, 3*d = h*p + 156. Is 7 a factor of -1 - p\/2*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 to the power of 1\/3, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6058 + -64557?\nAnswer: -71626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2) + (0 - -1) - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 + 106. Let v be 3 - ((-3 - 0) + 38). Find the common denominator of (v\/(-15))\/((-9)\/z) and -9\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = o + 49, -4 = o + 3*o. Let p be 3 - (w\/(-4) + -6). Sort -0.33, 5, p, 0 in descending order.\nAnswer: 5, p, 0, -0.33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3*z**2 + 0 - 4*z - 2\/3*z**3.\nAnswer: -2*z*(z - 3)*(z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 y when four letters picked without replacement from hhvfvky.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -2. Let y be (-1 - 12\/t)\/1. Let r(q) = 6*q**2 + 4*q - 5. Let p be r(1). Solve -p = 2*x + y*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n - 2. Let z(a) = -3*a - 4. Let o(h) = -2*h - 3. Let s(q) = -5*o(q) + 4*z(q). Determine -3*f(m) + 8*s(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -15*t - 13*t - 7 + 26*t. Give v(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 169 - 2a8?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5903 is divided by 2926?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 5:24 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmgg when four letters picked without replacement from {m: 3, u: 1, y: 1, g: 9}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 65*k - 65. Let j be v(1). Solve j = -s + 2*c, 3*c + 7 = 9*s - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-26))\/n**11)**(-2) assuming n is positive.\nAnswer: n**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 k when four letters picked without replacement from lggglglllklglkll?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, p: 1, e: 2}. Give prob of sequence epke.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.000642ug to kilograms.\nAnswer: 0.000000007000642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 36 = -3*n. What are the prime factors of 9\/n + (-75)\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 3 (b) 5 (c) 0.4 (d) 0.079\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.059153 take away 2?\nAnswer: -1.940847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/6 or 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 84*s - 60. Let o(m) = 3*m - 2. Let b(k) = -2*n(k) + 60*o(k). Let v(p) = 82*p**2. Calculate b(v(u)).\nAnswer: 984*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 + 0*d**2 - 1 - 2*d**2 + (8*d - 9 + 9)*(d + 3*d + 0*d).\nAnswer: 29*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 860*s - 1058*s - 3156*s - 7858*s to the form n*s + b and give n.\nAnswer: -11212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**6\/15 + 700*d**2 + 2962*d. Differentiate k(a) with respect to a.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2391?\nAnswer: 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*i - 92156 + 92156.\nAnswer: -48*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-93)\/(-33) - 3)*(2 - 0). Which is greater: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40362*c + 40794*c = -25056 for c.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6578*l**2*w - l**2 + 47809*l + w wrt w.\nAnswer: 6578*l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 3*c - 1. Let u be f(2). Let z be (-252)\/(-8)*(-2 - -4). Calculate the greatest common divisor of z and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 4 (c) -0.09 (d) -1\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49595 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-2 + 6\/(-3)). Suppose -2*x + 10 = g*x, 0 = -5*q + 4*x - 18. What are the prime factors of (-3 - 1)\/q - -10?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*p - 7 - 6 + 2 - 67*p + 38*p.\nAnswer: 8*p - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 l when three letters picked without replacement from {a: 1, w: 6, j: 4, o: 2, l: 4}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -694*i**2. Let k(h) = 5*h. What is x(k(l))?\nAnswer: -17350*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5 - 388*g**4 + 37242*g**3 + 77220*g**2 - 114075*g.\nAnswer: g*(g - 195)**2*(g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 34*c. Let x(f) = -14*f. Let s(d) = -5*j(d) - 12*x(d). Let p(l) = -5*l - 1. Let q(i) = -i**2 - i. Let r(v) = -p(v) + 5*q(v). What is s(r(b))?\nAnswer: 10*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u + 30. Let v be g(-7). Suppose 2*p = -c + 2 + 16, v*p = 0. What is the remainder when 124 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 3*c - 48, 144 = 1013*a - 1015*a - 9*c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*4*2)\/(sqrt(10) + ((sqrt(10) - sqrt(90))*4 + sqrt(10) - sqrt(10))) + -1.\nAnswer: -8*sqrt(2)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -b0609 (base 14) in base 8?\nAnswer: -1473521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2 + (-1 + 5 - 2)*(2 - 3 + 2))*(-111*q**2 - 15*q**3 + 111*q**2) - 17*q - 10*q**3 + 17*q to g*q**2 + i*q**3 + p*q + y and give i.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r**3 - 3*r**2. Let a(i) = -i**2 + 5. Let n be a(-3). Let b(j) = 5*j**3 - 2*j**2 - j. Determine n*b(g) + 3*m(g).\nAnswer: -2*g**3 - g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**8\/3024 + s**7\/63 + 5*s**6\/18 + 50*s**5\/27 - s**2. Factor i(p).\nAnswer: p**2*(p + 10)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-28)\/(-7) + 252008\/(-2). What is q rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1186 - -1279. Calculate the greatest common factor of 21 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + 1 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(2\/(-4)*-4). Suppose -3*m = 3*p - 21, -6 = 2*p - 4*m + 10. Sort -4, a, p in decreasing order.\nAnswer: a, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -120607 != -2773974\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(30)\/sqrt(3)) - (sqrt(110)\/(sqrt(30)\/sqrt(3)) + sqrt(11)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466*g**2 + 324*g**2 - 3*g**3 + 227*g**2 - 124*g**2.\nAnswer: -3*g**3 + 893*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5 + 6*t**3 + 4*t**2 = 0 for t.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -9756642.33 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -36 (b) 2 (c) 3 (d) -1\/8 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -154 + 5?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 106.7223 and -3.29586.\nAnswer: 103.42644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -853 and -0.1.\nAnswer: 85.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 18*q - 196. Let k(f) = 7*f**2 + 91*f + 980. Let b(y) = 4*k(y) + 21*w(y). Find the first derivative of b(c) wrt c.\nAnswer: 14*c - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 14, -3, -839, 2?\nAnswer: -839","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (161\/(-28))\/(-1 - -4) + 2. Let y(j) be the first derivative of 0*j**3 - f*j**4 - 2\/3*j + 1\/2*j**2 - 2. Find b, given that y(b) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 + -14110332?\nAnswer: -14110304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 143.7 + -144. Put 1\/2, r, -1, 1 in ascending order.\nAnswer: -1, r, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 20 = -2*u. Suppose -8*d + 3 = -u*d. Solve 4*q - 1 = d*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1099?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39822701 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 221, 42, 9, -70 in decreasing order.\nAnswer: 221, 42, 9, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by 1?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 360.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -896 + 2?\nAnswer: -894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6 = 4*w + 2*j, j - 3 = -4*w. Suppose w = h, 3*k + h = -0*h. Let r be (-20)\/(-25) + (k - 0). Which is the closest to 0? (a) r (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 + 20?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 + 1. Let z(s) = 6*s**2 - 3*s - 5. Let o(c) = -4*l(c) - z(c). Let y(i) = -3*i**2 - 4*i - 1. Suppose 2*f - 11 = -3. What is f*o(n) + 3*y(n)?\nAnswer: -n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5 + 0*l + 2*l - 5*l**2 + 3*l**2 + 1. Let s = 219 - 216. What is v(s)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 31*q**5\/20 + 2*q**3\/3 + 2*q**2 + 6315*q - 1. Let k(j) = -1890*j**3 - 243*j - 243. Give 4*k(l) + 243*x(l).\nAnswer: -27*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -9*c**2 - 2*c + 3. Let n(h) = -h**2 + h + 75. Let t(k) = -10*k**2 + 16*k + 1123. Let i(a) = 15*n(a) - t(a). Give 7*i(w) - 4*v(w).\nAnswer: w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 180*q + 903. Let w be v(-5). Let n(d) = d**2 + d + 1. Let b(i) = 4*i**2 + i + 10. Calculate w*n(g) - b(g).\nAnswer: -g**2 + 2*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.1 - 1.9. Let d = 16 + y. Which is the closest to -1? (a) -0.1 (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 230\/(-105) + 10\/4 and 95\/66?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((2*12\/(-384))\/(1\/(-1)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d - 1670 + 1877 = 0. Sort 8, 3, d.\nAnswer: d, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*u**2 + 2*u - 2*u + 0*u in the form v*u + p*u**2 + i and give p.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24593 + -5?\nAnswer: -24598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5473598 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v**3 - 17*v**2 - 3*v + 16. Let r be q(7). Suppose 40*l - 20*l = r. Is 62 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s + 0*s - 13*s)*(-56 + 4820*s - 4855*s + 53) to the form q*s + k + z*s**2 and give q.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -1a5284c?\nAnswer: 1a52852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y + 27. Let h be f(-14). Let d(o) = o**3 - o**2. Let l(w) = -4*w**3 + 22*w**2 + 32*w. Let b(j) = h*l(j) - 6*d(j). Determine t, given that b(t) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91588543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -523002411 + 3?\nAnswer: -523002404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.5*845562.\nAnswer: 7187277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.5502 to 1 dp.\nAnswer: -32.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.34 + 0.14. Let i = -1.59 + -0.41. Which is the second biggest value? (a) 3 (b) i (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 28*n - 15. Give m(28).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 - 43. Suppose 2797 = -v*b - 80. Is -15*(b\/3)\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1574, -6687, -15338, -27527, -43254, -62519, -85322?\n\"Answer: -1769*j**2 + 194*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 10:24 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6841352 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 704836972.\nAnswer: 2, 7, 3596107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -16. Let y(r) = -r**2 + r - 1. Let u(g) = 3*g**2 - 3*g + 2. Let v(i) = n*y(i) + u(i). What is the second derivative of v(s) wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1.8. Suppose 122 - 118 = 2*g. Let m(l) = -l**3 + 7*l**2 - 13*l - 6. Let s be m(4). Which is the nearest to 1\/2? (a) s (b) g (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -12*b + 8. Let u(h) = 55*h - 5. Let w be u(b). Let q = w + -31. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1128)\/(-16)*2\/(-12) and -77\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*y - 12, 0 = -2*o + 4*o + 3*y - 3. Which is the second smallest value? (a) 1\/2 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597.9341us to nanoseconds.\nAnswer: 597934.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -76*a**3 - 247*a**2 + 3*a + 46. Let n(y) = -25*y**3 - 83*y**2 + y + 13. Calculate -7*n(o) + 2*p(o).\nAnswer: 23*o**3 + 87*o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -135 divided by 41347\nAnswer: -135\/41347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(200)*2)\/(sqrt(144) - 4*sqrt(144))*-4 + 1.\nAnswer: 1 + 100*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1401391413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/4 - 75*x**2\/4 - 1443*x\/4 - 1369\/4.\nAnswer: -(x + 1)*(x + 37)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, r: 1, q: 5, n: 1, y: 10, p: 1}. What is prob of picking 1 y, 1 q, 1 n, and 1 v?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-6))\/((-4)\/3). Let v = 0 + -0.02. Let q = -0.02 - v. What is the closest to q in j, 3\/5, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*m + 1. Let l = 3 - 6. Let i be (52\/24 + -2)*(2 - -2). Which is the nearest to m? (a) 4 (b) i (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 17. Calculate the least common multiple of 4 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0064044538 rounded to five dps?\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 38 = -10. Suppose u = -u + g + 74, 4*g = -f. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-256227*v**2 + 11 - 5 + 3*v**3 + 256216*v**2)*(3*v + v - 3*v).\nAnswer: 3*v**4 - 11*v**3 + 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/250756 and 125\/2397472?\nAnswer: 98296352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/22 and 97\/176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q - 21. Let b(v) = -13*v - 84. Determine -2*b(d) + 9*l(d).\nAnswer: -d - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -13. Let i(v) = -v**2 - v + 1. What is the units digit of i(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2375 divided by 475\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnc when three letters picked without replacement from {n: 1, j: 1, c: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-54))\/((-16)\/(-96)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -24223 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/((sqrt(32)\/sqrt(4))\/sqrt(4)) - (sqrt(2) - (((sqrt(22) - sqrt(66)\/sqrt(3))\/sqrt(11) + sqrt(2))**2 + sqrt(2)))*2.\nAnswer: sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 less than 26?\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17, 33, 63, 107, 165, 237, 323?\n\"Answer: 7*j**2 - 5*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 2, h: 2, n: 4, q: 1, l: 7}. Give prob of picking 1 q and 1 n.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 1200?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmm when three letters picked without replacement from {u: 3, m: 2, j: 7, g: 5}?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, y: 1, u: 2, s: 2, i: 1, k: 4}. Give prob of sequence kyi.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1633845, 3267693, 4901541, 6535389?\nAnswer: 8169237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2. Let i(r) = -r + 7. Let s be i(6). Suppose 4*m + 2 = f*v, 0*m - 4*m + s = v. Solve m*o + 2 = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -0.3, 1, -4 in descending order.\nAnswer: 1, -0.3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 plus -17624803?\nAnswer: -17624393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/297 and -56\/3663.\nAnswer: 10989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -144 - -150. Sort -3, 0, 1, d in decreasing order.\nAnswer: d, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -150 - -46. Let j(t) = -3*t**2 - 8*t - 5. Let w be j(-5). Let x = w - o. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42311.5 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + -2 + (-2 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w - 12 = 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, 3\/4, -2, -23, -57 in descending order.\nAnswer: 8, 3\/4, -2, -5, -23, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/5 (b) -1\/11 (c) -12 (d) -1\/10 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - 151) + 304 - 73\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 24\/(-22) + 1475\/1947)*14\/(-6)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4703 and 0.12.\nAnswer: -0.3503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z - 3 - 4*z**3 + 6*z**3 + z**3 + 5*z - z**4 as u*z**2 + f*z**4 + x*z**3 + g*z + l and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107357 is divided by 2977?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9*n + 143. Let t = 94 + -95. Let x(s) = 5*s**2 - 2*s. Calculate the smallest common multiple of x(t) and w(15).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345*n**2 - 19326*n + 336 = 0. Calculate n.\nAnswer: 2\/115, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 7*t + 3*t + (-2 + 6 - 1)*(-4 + 4 - 3*t) + (-2 + 2 - t)*(4 - 7 + 4).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -137 (b) 0 (c) 4401 (d) -1.2 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -z**5\/30 + z**3\/3 - 1. Let q(g) be the third derivative of y(g). Let o(m) = 4*m - 3*m**2 + 4*m**2 - 4*m. What is q(o(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 852*m = 802*m + 92900. Is 45 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.2 (b) -1 (c) 4\/3 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88*-0.6.\nAnswer: 52.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17638967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i + 1. Let c(z) = 7*z + 2. Let u(q) = -3*c(q) + 5*w(q). Let m be u(-4). Let f = -362 - -365. Solve -m*l = 4*d - 5, f*l + l = 5*d - 45 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(5) - -1*sqrt(5))*-5)**2.\nAnswer: 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 10 + -5 - (5 - -1). Solve f - 5 = -a + x*a, 4*f - a = 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364 and 982436.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -621165?\nAnswer: 621165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 1 + 1722*x - 1767*x.\nAnswer: -45*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 18 - (-3 + 0 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 5 (b) 3569635 (c) 2 (d) -3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46364\/385 - 602\/5. What is the common denominator of m and -3\/35?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 10. Suppose -3*c - w + 2 - 3 = f, 10 = 2*w. Let d(h) = 625000*h**2. Let u be d(c). What is u rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.003 + -1.0028342. What is h rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 4*n = 20. Is (-122)\/(-5) + (-4)\/n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x. Let c(w) = -13*w - 567. Give c(f(k)).\nAnswer: -26*k - 567","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 + z**3 + z**3 + (5 - 5 + z)*(2 - z**2 - 2) - 5*z**3 + 4*z**3 + 2*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -3*r + c, 7*c - 40861 = 2*r - 40677 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154742.2 - 0.02892.\nAnswer: -154742.22892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - m - 1. Let x(z) = 0*z**2 - 9284*z**3 + 9284*z**3 - 21*z**4 - 84 + 9*z - z - 6*z**2. Let p(h) = -6*t(h) - x(h). Differentiate p(l) wrt l.\nAnswer: 84*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 202522768*y + 136981428?\nAnswer: 202522768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.75115 litres in millilitres?\nAnswer: 62751.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3 + (-26)\/(-6). Let z = 304 - 305.39. Let f = z - -1.09. Which is the nearest to -0.1? (a) 1\/5 (b) f (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(56) + (sqrt(56) - (sqrt(224) + 1*sqrt(224))))*-3)\/(4*2*sqrt(648)))*5.\nAnswer: 5*sqrt(7)\/12 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t**3 + 4*t**2 + 10*t - 2. Let s(x) = -x**3 + x - 1. Let u = -109 - -107. Let k(y) = u*s(y) + f(y). Find n, given that k(n) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018431006 to 4 dps.\nAnswer: -0.0184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/258842 and 32\/1955.\nAnswer: 1294210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/2)\/t*t**(-1\/7))\/((t**1\/t)\/t*t**(-3\/4))*((t\/(t**3*t*t))\/t*t*t**5)**(-27) assuming t is positive.\nAnswer: t**(-781\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 119792.73 to the nearest one thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7*23\/(-69)*-9\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from juuxeueexuyyuuxuyx. What is prob of sequence xjuu?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-28)*(-10)\/10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v - 4*v + 7 - 3*v**4 + 4*v**4 + v**4 as m*v**4 + a*v**2 + s*v**3 + y*v + h and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -5*u - 17, 2*i + 2*u = -2*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-22)\/4)\/(2\/8). Let v(x) = 81*x + 591. Let m be v(-6). Let d = m + f. List the prime factors of d.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2002\/74 - (-194)\/(-3589).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -0.3 (b) 0.4 (c) 0.2 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2251, 4, -7, 0.2, -0.5 in descending order.\nAnswer: 7, 4, 0.2, -0.5, -7, -2251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 at least -6680.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4920480*c**5 + 58*c**2 - 128*c wrt c?\nAnswer: 295228800*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**5\/120 + 3*j**4\/4 + 2*j**3 + 5*j**2. Let x(i) be the first derivative of k(i). Differentiate x(l) wrt l.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(30\/24 + 942\/(-760)). Let p = r - 478. Let s(u) = u**2 - u - 4. Determine s(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 12. Let k(b) = -15*b**2 - 15*b - 24. What is 3*k(u) - 6*l(u)?\nAnswer: -39*u**2 - 45*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 - 41*q - 43. Let w(k) = -k**2 + 20*k + 21. Let d(x) = -3*t(x) - 7*w(x). Let a be d(19). Suppose a*p + 1637 = 21*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70790*y + 2274*y**2 + 70788*y + 2*y**3 - 1 + 3 to l + t*y + g*y**3 + o*y**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*f + 5*w, -1 - 15 = -4*f - 5*w. Calculate the common denominator of ((-45)\/44 - -1)\/(f\/(-824)) and 2\/(-54)*-3*(-870)\/(-8).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 820*a*x**3 - 107680*a*x**2 + 3*a - 2383*x**3 + 2*x**2 wrt x?\nAnswer: 4920*a - 14298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 11:03 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -937*a = -933*a - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**4\/3 + 29*w**3\/3 + 9*w**2. What is the derivative of f(n) wrt n?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -45476085, -45476080, -45476075, -45476070?\n\"Answer: 5*c - 45476090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2. Let s(q) be the second derivative of -11*q**4\/12 - 13*q. What is g(s(h))?\nAnswer: -121*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*k + 60*k + 3959 = 0. Let r = k - 114787\/29. Is 0 >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o + 0 + 0 - o. Let f(l) be the third derivative of 0*l**4 + 0 - 1\/20*l**5 - 7*l**2 + 0*l**3 + 0*l. Determine u(f(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) 4 (c) -41\/3 (d) -6\/7 (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**2*o**3 + 3*j**2*o - 50*j**2 - 3*j*o**4 + 2 wrt o?\nAnswer: 6*j**2*o - 36*j*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -78, -2\/3, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169 - (-5)\/10*0\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 288, 315, 382, 507, 708, 1003, 1410, 1947?\n\"Answer: 3*a**3 + 2*a**2 + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 2904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 - 6*g - 6. Calculate the smallest common multiple of 4 and z(6).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6\/59, 0.02, -3\/8, 45?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-99))\/((-445)\/1335))\/((-4)\/(-1628))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20.5 + 17. Let o = -4 - k. Let v(y) = -y**2 + y + 2. Let p be v(1). Which is the nearest to 1? (a) -1 (b) o (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -15. Let n be ((-2)\/(-2))\/(r\/10). Let b = n + -2. Solve 2*x + 26 = -4*a, -b*a + 5*x = -0*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 - 480*a - a**2 + 487*a - 2*a**3 + 6 + 2*a**2 - 2*a**2 to the form m*a**2 + x*a + f + d*a**3 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/8 of a milligram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52468 is divided by 274?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 - 128*w + 1915. Give u(24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + q**2 - 3*q - 3. Suppose -y + 0 = -u - 2, u - 3*y + 2 = 0. What is r(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1704 + 1703.9999311. What is m rounded to 6 dps?\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2561868 divided by -7907\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1246156663?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (5 - 1) + 6 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 589599 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 664602435 a multiple of 3708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-20) - 5 - 3\/(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -110*c - 273. Calculate m(-5).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-9)*b\/(b**(-19)*b)*(b**(-2\/5)*b*b)**(7\/4) assuming b is positive.\nAnswer: b**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2 = 0, 738 = 2*k + 3*k - 3*i. Calculate the remainder when k is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(125) + -3*(sqrt(125) + -1)) + -3 + ((sqrt(125) - (sqrt(125) + 1)*-4) + 2)*3 + 5)**2.\nAnswer: 2990*sqrt(5) + 21654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 545 by 1.\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/9)\/(6\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/75, 4412, 0.2?\nAnswer: 4412","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4043445 (base 6) to base 14\nAnswer: 502b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 + 7*t + 7. Let o = 1 + 3. Let k(j) = 3 - o*j**2 - 3*j**2 - j**2 + 3*j + 7*j**2. Give -14*k(f) + 6*l(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60520 = m + 2*a, 39*a - 60508 = -m + 41*a. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4322 - -4385. Solve -23*b = -2*b + x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3)\/q*(q*q**(5\/6)*q)\/q*q**0\/q**(-10))**(14\/9) assuming q is positive.\nAnswer: q**(427\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*f + 11045 - 13580 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t - 12. Let l be n(-3). Suppose -l*h + 6*h = 15. What is the lowest common multiple of 6 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -282 + 21070*s + 282 - 4970*s as l*s + q and give l.\nAnswer: 16100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + 0*k - k**3 + (-3*k**2 - 2*k**2 + 3*k**2)*((4*k - 2*k - k)*(4 + 1 - 3) - 1 + 1 - 3*k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6 + (-26)\/6. Is 2\/o - (-3656)\/40 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1613260 (base 8) to base 4\nAnswer: -1301122300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**3 + 2*j**2 - 2*j + 6. Suppose -14*t + 6*t - 40 = 0. Let m be (-16)\/(16\/4) + -2. Let x(z) = z**3 - 2*z**2 + 2*z - 5. Give m*x(o) + t*i(o).\nAnswer: 4*o**3 + 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zssssssszzz?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1849391 to the power of 1\/2, to the nearest integer?\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44\/785 + -2054\/8635. Let d be -3 - 0 - (-102)\/(-6). Sort d, -0.1, t in decreasing order.\nAnswer: -0.1, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + a**2 + a + 5. Let z be k(0). Solve 2*p + 3*u = 3*p + 1, -2*p - 2 = z*u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -800.18365 to the nearest 10.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(7\/196)\/(2\/12).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11205388*n**4 + 44414242 wrt n.\nAnswer: -44821552*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 q, and 1 g when four letters picked without replacement from gmmmqmmmmmmmmm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 5, h: 12, q: 2}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s**3 + 21 + 9*s**3 + 16*s - 2*s**4 + 9*s - 26*s + s**4 to the form o*s**3 + j + c*s + a*s**2 + i*s**4 and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6846 and 134638?\nAnswer: 403914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 11*s - 40. Let i be h(7). List the prime factors of 6\/(1\/((-6)\/i)) + 47.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.24 + 1.16. Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 16, l: 4}. Give prob of picking 2 i and 2 l.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r - 45 = 38*r. Let z(h) = -36*h + 2. Let j be z(-4). Is (j - -2)*r\/(20\/(-23)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -765.89329956 + 766.0333. Let v = -0.16 - -0.02. Let q = v + m. Round q to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(117)*-4)\/(4*sqrt(45)\/sqrt(5) - sqrt(9)))**2 + (sqrt(104) + 1*sqrt(104)*2)\/(sqrt(48)\/sqrt(6)*6).\nAnswer: sqrt(13)\/2 + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213779 = -4*p + 3*i - 213750, 0 = -4*p + i - 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -450 divided by -5?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291469 is divided by 313.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f + 9 - 11 + 3*f + (-2 + 10 + 1)*(-f + 2*f + 0*f) + 5*f + 3*f + f to y*f + h and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25\/214718 or -0.03?\nAnswer: 25\/214718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.5, -1\/9, 0.85, -447, -0.01?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 140\/(-12)*12\/21. Let m = 149\/21 + t. What is the smallest value in m, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.452 + 1.452. Which is bigger: -1.34 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g + 1\/30*g**4 + 0 + 2\/15*g**3 - 3\/5*g**2. Determine x, given that w(x) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 853659 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4, -3*o - 34 = -2*q + q. Let y be (-10)\/o + 4\/(-2). Which is bigger: 1\/21 or y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3434 + 3508. Calculate the highest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 7*q + 38 = 0, 9*i - 5*q + 38 = 9*i + 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3286.301*4\nAnswer: 13145.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4946, 3, -314, 2, -1, -4, -5.\nAnswer: -4946, -314, -5, -4, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -102.9201983763 and -2?\nAnswer: 100.9201983763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -124 + 135. Suppose -f + 6 - q = 0. Let g(h) be the first derivative of -h**4\/4 - 4*h**3\/3 + 3*h**2 + 3*h - 2. Calculate g(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28225*k - 32841 wrt k.\nAnswer: -28225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7391, 14784, 22177, 29570, 36963, 44356?\nAnswer: 51749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 147192743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j - 3. Suppose -2*w - 3 + 11 = 0. What is a(w)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 8402281.\nAnswer: -14\/8402281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t**2 - 630915*t + 630915*t.\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + 16*d + 4. Let x be (0\/2)\/(3 + -5). Suppose x = -3*i - 0*i + 24. Let b be q(i). Solve -b*m + m = 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10964575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146 = 4*n - 2*n + w + 129, 2*w = n - 6 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s + 1. Let a(k) = 8*k + 1 - 2 - 4*k. What is 4*a(x) + 5*j(x)?\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/2439 and -41\/24?\nAnswer: 19512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2158 bigger than -0.02188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -175 - 7047907270.\nAnswer: -7047907445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 s, 1 q, and 1 h when four letters picked without replacement from {o: 1, q: 1, f: 2, s: 2, h: 2, z: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/6 - (-22)\/4. Does 8 divide -20*1\/((-10)\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**4 + 4*a**3 - 52*a**2 - 4*a + 48 = 0.\nAnswer: -4, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + k + 3. List the prime factors of b(-6).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(55*v**2 - 416*v**4 + 416*v**4 + 2*v**5 - v**5 + 0*v**5 - v**5 + (-3*v**4 + 5*v**4 + 0*v**4)*(0*v - 4*v + 2*v)).\nAnswer: 8*v**5 - 110*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 5486736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/17, 8, 23, -0.72?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-179*i - 42*i - 83*i + (0 + 0 + 2)*(1 - 1 - 2*i))*(1 + 0 - 3)*(-2 - 3*i**2 + 0*i**2 + 0*i**2) to the form l*i**3 + a*i + x*i**2 + d and give l.\nAnswer: -1848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-42) - (-3)\/9 - 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24 + 8*i + 24)*(-3*i**2 + 3*i**2 - i**3) - i**4 - 3*i**3 + 3*i**3 to j*i**3 + h*i**2 + z*i + q + v*i**4 and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19725151*g + 27 = 5*d + 19725147*g, 2*d - 4*g - 18 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by -1632099?\nAnswer: -12\/544033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -2\/13 (c) 12\/125 (d) -5 (e) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.198 + 0.148. Let l(m) = m**3 - 3*m**2 + 2. Let j be l(3). Is j at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u - 1. Let a be c(-4). Let l be -6*(-5)\/(-165) + (-224)\/(-22). Let k(w) = -l*w + 655 - w - 654. Let p(n) = 5*n. Give a*p(f) + 3*k(f).\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1088221*h**5 - 1491726*h**2 + 2?\nAnswer: -65293260*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4409 is divided by 4075?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**2\/3 + 161*x\/2 - 24 = 0.\nAnswer: 3\/10, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by 224?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 = -47*m + 21*m. Let j(b) = b**2 - 2*b - 1. Let a be j(-3). Are a and m unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 7.34 (c) -4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 1. Let o be l(7). Suppose -3*t = 9, 2*i + t + 0*t - 5 = 0. Suppose -18 = -a + i*z, -z + 5*z + o = 0. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46569 a multiple of 361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/(-8) - (-5)\/20. Let d(t) = -t - 2. Let c be d(n). Suppose 0 = 2*v - c*v. Solve 5*p + s - 18 = v, -4*p - s + 18 = -2*s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 19.\nAnswer: 49\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 782 less than or equal to 783?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 204 - 159. Suppose r*q = 49*q - 252. Calculate the greatest common factor of 27 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6*l - 5 = 0. Let z be (l + -1)*2\/(-4). Let u = 0.119 - 7.119. What is the closest to -0.1 in z, u, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21348 is divided by 353.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 20*x. Let t be g(20). Suppose t = 8*f - 172 - 692. Calculate the greatest common factor of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17\/2833 + -290167\/271968. What is the common denominator of x and 43\/18?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*c**2 - 8930*c**3 + 4128*c**3 + 4803*c**3.\nAnswer: c**3 + 23*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 4*g. Let l be m(5). Suppose -3*k - 49 = 5*w + k, -19 = 3*w + 5*k. Let r = w + l. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = -66*g + 65*g - 4*x, 44*g - 40*g - 21*x = -467 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 5\/(-15)*3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23338.\nAnswer: 2, 7, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -13. Let p = k - -12. Solve 2*u - p*u + 20 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -71715, -143407, -215099, -286791, -358483?\n\"Answer: -71692*c - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.019*27629.2\nAnswer: -524.9548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 45*o - 20. What is the remainder when i(7) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 bigger than 279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41 - -2) + -1 - (35 - (-15 + 60))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 7*j + 3. Let a be m(-7). Suppose -a*o + 2 = -o. What is the greatest common factor of o and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 30 = -3*b, 0 = 3*l + b + 14276 - 14262 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -826 - -825.87. Let b be 0\/(0\/(-2) + 2). Suppose b*d = -4*d. Is d > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/((26\/(-8))\/13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40768 + -25344. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13\/215 + 6\/43. Let o = 758.4 + -760. Which is the nearest to 1? (a) o (b) -3\/8 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c**2 + 19 - 12 + c**2 + 23 to w*c**2 + h + g*c and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**4 - 2*b**4 + 2*b**4 - 135*b**2 + 135*b**2 - 5*b**4 + (b**4 - 4*b**2 + 4*b**2)*(1 - 2 + 0) as d*b**2 + v*b + n*b**4 + f*b**3 + l and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b**3 + b**2 + b. Let f be n(-1). Solve 5*m - f = -4*j, -4*j + 6*m - 2*m = 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 347\/10 - 141\/5. Let d(s) be the second derivative of 2*s**3 - 8*s + 0 + l*s**2. Differentiate d(c) with respect to c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z - 8. Let h(q) = 1. Calculate 3*h(i) + j(i).\nAnswer: -3*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28778 + -28778. Let f(z) be the second derivative of 0*z**4 + 43\/6*z**3 - 4\/5*z**5 - 28*z + u*z**2 + 0. What is the second derivative of f(b) wrt b?\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 - 20435?\nAnswer: -20434.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285078886?\nAnswer: 2, 113, 1261411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20388991?\nAnswer: 7, 293, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**3 - 89*z - 68*z + 154*z.\nAnswer: -3*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 254043*x**3\/2 + 3520809*x**2\/2 + 5123940*x - 7011366.\nAnswer: 3*(x - 1)*(291*x + 2162)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27\/4, -0.4, -4, -1\/5, 61\/5 in decreasing order.\nAnswer: 61\/5, -1\/5, -0.4, -4, -27\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*i - 137, 0 = 4*i - i + 12. Suppose -4*n - 1 = -l. Solve -n - 6 = -3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*b**2 + 0*b**4 + b**3 - b + 53*b**2 - 23*b**2 + 16*b**2 + b**4 to a*b**4 + x*b + f*b**2 + q + h*b**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 505518426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -274132 or -274138?\nAnswer: -274138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1429*t = -1400*t - 145. Let u be ((-2)\/(-2))\/(2\/8). Solve t*n = 4*i - u - 0, 0 = -i - 4*n + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 11:58 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -223124402?\nAnswer: 223124412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717 is divided by 103.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021010020 + 12?\nAnswer: -1021010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**6*(l**(-3)*l)\/l*l)**36\/(((l\/(l**6*l))\/l*l**(-2)\/l)\/(l\/(l**(-1\/3)\/l)*l\/(l*l**(-2\/5)))) assuming l is positive.\nAnswer: l**(-3589\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7 + 1 + 3*p - p**3 + 4*p + 3*p**2. Let y be 6\/12 + (63\/(-2))\/(-9). Determine i(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63194 and 380.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**5\/(r*r**(4\/11)\/r*r))**32)**(7\/12) assuming r is positive.\nAnswer: r**(2240\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16754198 is divided by 2393441?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p. Let y(a) be the second derivative of a**6\/240 - 149*a**4\/12 + a**2 + 2*a - 89. Let k(f) be the third derivative of y(f). Give j(k(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1050993 and 1.4.\nAnswer: -1050991.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-5 - (0 + (3 - -1)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 340*t + 720. Let u(m) = -3*m**2. Calculate v(u(h)).\nAnswer: -1020*h**2 + 720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11582 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-3 - -3 - 3). Suppose -o - 1 = j. What is the units digit of (-6)\/o*94\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 2:28 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/(r*((r*r**(-2\/13))\/r)\/r*r)))\/(r*r\/((r**10\/r)\/r)*r))\/((r*r**(-7\/4))\/(r**8*r)) assuming r is positive.\nAnswer: r**(759\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1423)\/2846 - 45\/(-4)?\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5654 + -5028. Solve 624*s = i*s + 16 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)*x)**(5\/4)*(x*(x**(12\/5)*x*x)\/x)\/x*x**(1\/2) assuming x is positive.\nAnswer: x**(39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m - 3*m - 3*m + 3 + 2*m. What are the prime factors of w(11)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-47)\/3)\/((-9)\/459) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 2558934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64879884.\nAnswer: 2, 3, 1802219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 540841\/32 + -16904. Find the common denominator of -2 + 4\/((-336)\/(-87)) and t.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f - 7*f - 5*f)*(2*f**2 - 5*f**2 - 5*f**2) + 0*f**2 + 0*f**2 - f**2 - 3*f**3 as u*f**2 + o*f**3 + p + x*f and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 - 83719*c - 167444. Give s(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 125 + -357. Let d be (-15)\/2*(b\/24 - -9). Solve -4*z + 1 = -p, -2*p + 0*p = -d*z + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 512.69, -3\/4, -4\/7 in decreasing order.\nAnswer: 512.69, -4\/7, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85.29 + 91.4. Let m = 0.11 - i. Let r = m - -1. Which is the smallest value? (a) 2 (b) r (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4426554 and 4136.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l = -l + 24. Which is the closest to -1? (a) 0.4 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -130.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*z - 24*z - z)*(-4*z - 1 + 1 + (-3 + 7 + 0)*(-z + 2*z + z)).\nAnswer: -220*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33233 + 1?\nAnswer: -33232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -5*z + 2*w, 2*z + 1330*w - 20 = 1332*w for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -9*m. Let g(t) = -14*t. Suppose -4*y + 2*i = -20, -4*y - i = -5*i - 24. Let d be (2\/y)\/(1\/(-10)). Determine d*g(p) + 8*n(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + 1 - 5*v + 0 + (-3 - 2 + 3)*(425*v - 9363 + 9363))*(4 - 4 - v) as p*v**2 + i + d*v and give p.\nAnswer: 853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 288 + -283. Let s(y) = -4 + u + 81*y - 82*y. Let h(n) = -n**2 + 5*n - 2. Determine h(o) + 3*s(o).\nAnswer: -o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*m + 178*m = 686 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h + 52904 - 52904. Let m(a) = 4*a. Let b(x) = -x**3 + 4*x**2 - 4*x + 3. Let y be b(2). Determine y*o(d) + 2*m(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -110 - 34?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -10537, 16970 in decreasing order.\nAnswer: 16970, -0.4, -10537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -23*g**5\/10 + g**4\/6 + 1433*g**3\/6 - g**2 - 316*g + 8. Find the second derivative of f(r) wrt r.\nAnswer: -276*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 10:18 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*v**3 - 140*v**3 + 357*v**3 - 82*v**3 - 69*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2713, 5400, 8087, 10774, 13461, 16148?\n\"Answer: 2687*m + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, r: 2, m: 6}. Give prob of sequence mmk.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2637 - 108528?\nAnswer: -111165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3815, 30190, 101769, 241154, 470947, 813750, 1292165, 1928794?\n\"Answer: 3767*u**3 + 6*u + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/20)\/(423\/1880).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (3 + -12 + -5 - -6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5101238.276 less than -4?\nAnswer: -5101242.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*t - 42515, t - 72638 - 97401 = -4*m. List the prime factors of m.\nAnswer: 2, 3, 5, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*o = -11238, -5*t - 4*o + 9*o = -11235. Suppose -n = 2*d - 1501, -3*d + 3*n - n = -t. Round d to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 30 = -5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -129 + 66. Let q = 501 + -421. Let t = z + q. Solve 20 = -5*a - 5*r, -2*a + 4*r = t - 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401, 586, 901, 1352, 1945?\nAnswer: 2686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 13 + -3 - (1 - 1). Suppose -10*u = 5*d - 9*u - 15, 5*d - 15 = u. Sort w, 22, d in increasing order.\nAnswer: d, w, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/6 + 157*y**3\/6 - 1154*y**2\/3 + 1230*y - 1128 = 0. What is y?\nAnswer: 2, 12, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 8*u**2 - 3*u - 2. Let x = -2873 + 2880. Give m(x).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a - 5. Let x(l) = -l**2 - 347878*l. What is x(i(m))?\nAnswer: -64*m**2 - 2782944*m + 1739365","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 16, x: 4}. Give prob of picking 2 x.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -12 + 6. Suppose 106 = -0*k + 4*k - g*m, -2*m + 50 = 2*k. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (33\/55 + (-122)\/(-30))*6. Let l = c + 45. Let u = -55 + l. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -179502 + 254502. What is a rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 58, 82, 106, 130, 154?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0.5, -0.89, 2, 1, 72, 0.3 in descending order.\nAnswer: 72, 2, 1, 0.5, 0.3, -0.89, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/348737981 or 0?\nAnswer: -18\/348737981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 398 or 0.5715?\nAnswer: 398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g + 8. Let b be w(4). Suppose b = -d - d - 738. What is d rounded to the nearest ten?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/3)\/a)**31*a\/a**(-2\/7)*(a*a*a**(-5\/7))\/a)**(-1\/2) assuming a is positive.\nAnswer: a**(401\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**4\/4 - n**3 + n**2 - 4*n + 10. Calculate b(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x. Let u = -8 + 12. Let s(w) be the first derivative of -w**4\/2 + 3*w**2 + 18. Let p(j) = u*o(j) - s(j). Find the second derivative of p(r) wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k**2. Let r(b) = -20669*b**2. Give c(r(d)).\nAnswer: -1708830244*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -371, -352, -337, -332, -343, -376?\n\"Answer: -y**3 + 4*y**2 + 14*y - 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0126 - -0.0124862. What is o rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 856373, 856374, 856375, 856376, 856377, 856378?\n\"Answer: h + 856372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 2)*((2*o**2 - 2*o**2 + 2*o**2)*(0 - 5 + 3) - 1416*o**2 + 950*o**2 - 429*o**2) to the form s + d*o**2 + f*o and give d.\nAnswer: 899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jezpejeeeeeejjejj. What is prob of sequence jze?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1213431 - -831.5612.\nAnswer: -1212599.4388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30008 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*q + 93*q = n - 95*q + 280*q + 17, 0 = 2*n - 18*q - 10 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1629 = -2*r - 1621 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13e009e (base 15) in base 3?\nAnswer: -1000001110102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 143 - 149. Let v(x) = x**2 + 7*x + 11. Let d be v(s). Solve 4*g - 1 = g - 4*i, -6 = d*g - i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.05, -1, -1\/2.\nAnswer: -1, -1\/2, -0.05, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -1.3. Let n = -22.2 + 20. Let x = n - -1.9. Which is the closest to z? (a) 0 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -f + 2*f. Suppose -5*k - 135 = -f*o, -k = -5*o - 2*k + 225. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3\/7 - 24*a**2\/7 + 2*a\/7 + 24\/7 = 0. What is a?\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 9*q + 13. What is the hundreds digit of v(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4259222*u. Let k(q) = q**2. Determine k(x(b)).\nAnswer: 18140972045284*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 7. Let z(t) = t + 3. Does 3 divide z(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1482, 1105, 476, -405, -1538?\n\"Answer: -126*l**2 + l + 1607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3.3, -17, -2, 27\/5?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/2))**(14\/5))**34*u**8\/(u*u*((u\/(u*u*u**(-2\/3)\/u*u))\/u*u)\/u*u)*(u**(1\/4))**10 assuming u is positive.\nAnswer: u**(4549\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/63 and -73\/90?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 8*h - 2*h)*(-h**4 - 2*h**4 + h**4) + (-16*h - 32*h + 7*h)*(2*h**4 + 1 - 1).\nAnswer: -92*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 10 = 4*j, -7*j + 9*j - 3*s = -6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 103*s**2 + 6*s + 612. Give i(-103).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 5*x - 5*j - 110, 60 = 4*x + 3*j. Let v(m) = -60*m**2 + 18. Let t(r) = -17*r**2 + 5. Calculate x*t(h) - 5*v(h).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5\/3, 3\/5, 26 in decreasing order.\nAnswer: 26, 1, 3\/5, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/16 and 139\/36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -2*m**3\/3 + m**2 - 275*m. Give q(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -286*j + 287*j + 2 - 2. Let v(r) = -r**2. Calculate v(m(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-6 + 12 + 1 - (13 - 7))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 911.367kg?\nAnswer: 911367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2*d**2 + 1)*(-2*d + 5*d - d) + 2*d**3 + 0*d**3 - d**3 - 2*d**3 - 4*d**2 + 4*d**2 - 2*d**3 + 3*d**3 - 3*d**3)*(197*d + 188*d - 512*d).\nAnswer: -127*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*-8 + (-5 - -8). Let h be 3\/r*(-4)\/(-2). Which is greater: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*c + 16722 = -54*c - 12*c - 2328 for c.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2463278.00001 - 2463212. Let j = -66 + r. What is j rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**3 + 44*i**2 + 1634*i - 2. Let t(o) = 21*o**3 - 303*o**2 - 11439*o + 15. Let r(g) = 15*h(g) + 2*t(g). Factor r(n).\nAnswer: -3*n*(n - 34)*(n + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/1*(-1 + 0). Let x be (-60)\/(-27) + (-4)\/18. Let s = x + 2. Solve 0 = 3*q - f*q - s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*t - 140 = -0*q, 0 = 2*q - 3*t + 73. Let x = q - 640. Let m = 1122 + x. Round m to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044 times -4?\nAnswer: -0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 3*m**5\/20 - m**4\/4 - m**3\/2 - 2*m**2 + 2*m. What is the remainder when q(3) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22475347, -44950690, -67426033, -89901376, -112376719?\n\"Answer: -22475343*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (15 - (-3 - -13)) + -13 - (-2 - 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 117 or 49?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 4:20 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*r - r - 1 = 0, 3*o + 2*r = 0. What is the remainder when (o + -4)*2*-8 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t. Let n be 0 - (1 + 0) - -6. Let g(i) = -n*i + 0*i + i + 2*i. Give u(g(b)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 12:36 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 46976, 188023, 423104, 752219?\n\"Answer: 47017*m**2 - 4*m - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.04 + -0.04. Let w = 4\/9 - 23\/72. Let m be -2*(18\/(-10) + 2). What is the second smallest value in w, f, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 3, -8, 2\/5, -0.5, -2 in decreasing order.\nAnswer: 3, 2\/5, 1\/8, -0.5, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*x**3 + 167514*x**2 + x + 2206700.\nAnswer: -6*x**2 + 335028*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 44733, -5.3.\nAnswer: -5.3, 0, 44733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -76367, -76368, -76369, -76370, -76371, -76372?\n\"Answer: -u - 76366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 7:57 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 3*q**2 - 1 - 1\/3*q**3 - 4*q. Let o be g(5). Is o at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 154 + 1548. Is 46 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -164783827, -164783826, -164783825, -164783824, -164783823?\n\"Answer: b - 164783828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 477\/26 + 28\/13. Let l = g - 20. Let y = 268 - 1878\/7. Is y at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 - (3 + -98)*(1 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.1 + 10.6. What is the third smallest value in -1\/4, 12, p, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 161*p**2 + 4930*p + 317. Calculate y(-41).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -448586243*a**3 - 106503821*a**2?\nAnswer: -2691517458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*j - 18*j + 14. Find the second derivative of 15*w - 10*w - 14*w - j*w**5 wrt w.\nAnswer: -140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 + 3*j**2 - 2*j**2 - 2*j**2 - 4*j + j**3 + 4*j + (0*j + 0*j + 8*j**2)*(-3 + j + 3))*(-2 - 157*j + 85*j + 79*j + (3*j - 7*j + 3*j)*(-3 + 0 + 5)).\nAnswer: 35*j**4 - 19*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 2*a - 11. Let t be p(-5). Let u be (-16)\/6*(-6)\/t. Let m(x) = 2 + u*x - 4*x - x. What is m(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-5)\/45*(-9)\/(-14).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 22\/3, 3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -2. Let i = 0 + q. Let m = -7 + i. What is the third biggest value in m, 0.5, -2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -345 (base 8) in base 5?\nAnswer: -1404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgfphgpprr. Give prob of sequence gp.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*b - 5*u + 4959, -4*b + 4*u + 9908 = 0. Suppose 3*h + 3 + 3 = -3*v, -4*h = 3*v + 7. Is -18 + b + (v - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/25)*x)\/x**(-13))\/(((x**(-15)\/x)\/x*x)\/x*x**22))**(-6\/11) assuming x is positive.\nAnswer: x**(-1338\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**3 + 24696*k**2 - 49461*k**2 + 24734*k**2 + 7*k**3.\nAnswer: 11*k**3 - 31*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7.248399 kilograms?\nAnswer: 7248.399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1504, 1928, 2336, 2722, 3080, 3404?\n\"Answer: -a**3 - 2*a**2 + 437*a + 1070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 96 + 2?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1982800 to the nearest 10000.\nAnswer: -1980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 24. Suppose -5*l - c = -38. Suppose 4*d + 20 = l*d. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*t - 30 - 13 = 137. Let a(f) = f - 1. Let v(b) = 4*b - 2. Let r(m) = 8*a(m) - 3*v(m). Let h be r(-1). Solve h*q + 9 = t*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 300*u - 197*u**3 - 2*u**4 + 1 - 300*u + 31*u**2 - 8*u**2 - 32*u**2 in the form q*u**2 + l*u**4 + i + r*u**3 + d*u and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**12*l**13\/l)\/((l*l**7)\/l**12) assuming l is positive.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 17\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 68847394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 624 - 900. Let l = k + 275.87. What is the second smallest value in 6, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 50. Let t(r) be the first derivative of 2*r**2 - 4*r + 1. What is the remainder when a is divided by t(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*y = -95, 69 = 5*f - 5*y + 24. Suppose -s + f + 20 = 0. Let p be (-68)\/(-1)*(-6)\/(-8). What is the highest common factor of s and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -27. Let m be 1307\/7 - 14\/(-49). Suppose -5*w - o = -622 - m, 0 = -2*o - 2. What is the greatest common divisor of w and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2700\/17021 or 0?\nAnswer: 2700\/17021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -25*d**2\/2 - 5*d - 1. Let l be f(-2). What is the greatest common factor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjrr when four letters picked without replacement from qqqqqqqrjqqqqqjqqrjq.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4. Suppose 33 + 7 = 4*m - 4*f, 4*m - 36 = d*f. Suppose 9 = k - 7. What is the least common multiple of k and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - -32. Let d = 15 - 53. Let u = d + v. What is the remainder when u is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.1 + 6. Round u to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47 and 9685818?\nAnswer: 455233446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*j - 12, -3*x + j + 160 = 0. Let i be 79 - (-1)\/(3\/(-6)*2). What is the greatest common factor of i and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*n - 29 = 0, -297 = -2*a - 4*n - 335 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92410 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*f**2 - 22*f**2 - 20*f**2 + 3 to k*f + d*f**2 + t and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/39)*l*l**(-3\/5)*l*(l**(1\/23)\/l*l)\/((l*l**20)\/l) assuming l is positive.\nAnswer: l**(-83111\/4485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 30 = g - 2*v, 3*g = 2*v + 66. Suppose 2*u - 4047 = 6*u - 4427. What is the remainder when u is divided by g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*b = -0*b, -b = 1. Suppose -3*d + 27 = m*h, -3*d - 7*h + 31 = -2*h. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r - 6. Suppose -4*q - 2*k = -6*k - 92, 2*k = 4. Let l = -32 + q. Let f(n) = -5*n + 5. Determine l*f(h) - 6*x(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 - (-95)\/(-1) - -47.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.21 + -0.231. Let q = -23.979 + j. Let p = 24.0000008 + q. What is p rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**5 + 4*a**4 + 912*a**3 - 7312*a**2 + 15616*a - 9216 = 0 for a.\nAnswer: -18, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 12108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 44576964348598 and 0.4.\nAnswer: 44576964348598.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 9*n**2 + 6*n - 5. Let a(o) = 2*o + 8 + 2*o - 14 + 0*o**2 + 10*o**2 + 3*o. Calculate 5*a(i) - 6*g(i).\nAnswer: -4*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 - 13212*n + 33 - 69 to m*n + i and give m.\nAnswer: -13212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20202048556 less than 4055?\nAnswer: -20202044501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -39287225 * 1\nAnswer: -39287225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -5)\/(8\/(-828)). What is the highest common factor of b and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1421, -1424, -1425, -1424, -1421, -1416, -1409?\n\"Answer: v**2 - 6*v - 1416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 673927?\nAnswer: -5\/673927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n = -2*n - 68 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 119 + 116*x**3 + 69*x**2 - 130*x**2 + 61*x**2 wrt x?\nAnswer: 348*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6819088124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19\/8, 2\/9, 32?\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12269 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 3*l - 9. Let u be w(4). Let b be (-10)\/(-25) + 97\/u. Suppose 56*s - 6*s + 850 = 0. Which is smaller: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13209.\nAnswer: 3, 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 7) + 21 + -10 + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 48\/5 of a milligram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -591, -606, -621, -636?\n\"Answer: -15*i - 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 6:10 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z - 15. Let i(p) = 29*p. What is i(h(o))?\nAnswer: -87*o - 435","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1023 - 350. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 1910672.18?\nAnswer: -382134.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twvwvvwvvwtwvww. Give prob of picking 3 v.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1406809?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uouuupuupouppoop. What is prob of picking 3 o and 1 p?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -4882062.\nAnswer: -24410310","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 81556391 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-558)\/14 - ((-70)\/245)\/(-2). What is the nearest to 0.2 in c, -8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*f - 12, -3*s - 13 = -4*s + 3*f. Let p be (1 + 0)\/1 - s. Let a(k) = -k + 20. Let u be a(p). Calculate the highest common factor of 8 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21215252879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 14) in base 6?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3 = -22. Let j = -2 - c. Let r(s) be the first derivative of -2*s**2 + 4*s + 4. Determine r(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cko when three letters picked without replacement from fyyycokccco.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 90 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64354915 divided by -71585?\nAnswer: -899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 911391 is divided by 294?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 2*x**2 - 6*x + 9. What is the smallest common multiple of 4 and i(3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 73218*o + 446739627.\nAnswer: 3*(o + 12203)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 830160*x**2 + 2714022*x.\nAnswer: 1660320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4356019 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*l = 28*l - 599 - 1251 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**5\/15 - j**4\/12 + j**3\/3 + 2*j**2. Let i be q(1). Solve -a + 5*r + 1 = -i, r = 3*a + 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478299.\nAnswer: 3, 31, 37, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*x = -564, -5*h + 5*x + 3536 - 656 = 0. Let s = h + -491. What is the least common multiple of s and 6?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3482, -3499, -3518, -3539, -3562?\n\"Answer: -k**2 - 14*k - 3467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 22105?\nAnswer: -11052.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, j: 1, v: 1, z: 2, b: 1, m: 1}. What is prob of picking 1 o, 1 j, and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*q**2 - 1 + 16*q - 117*q**2 - 7*q - 9*q.\nAnswer: 7*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/13)*h*h**2)**(-2)\/((h**(2\/17)\/(h\/h**(1\/8)))\/(h*h**(3\/2)\/h*h**(2\/11))) assuming h is positive.\nAnswer: h**(-75235\/19448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1 + 1*sqrt(1584) - (sqrt(1584) - -4*(-3 + sqrt(1584)))) + 4)**2.\nAnswer: -1536*sqrt(11) + 25600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 8017*w**2 + 1857*w**2 - 1 - 2.\nAnswer: -6160*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -18. Let i(j) be the third derivative of j**6\/60 + 13*j**5\/60 + 7*j**4\/24 + 4*j**3\/3 + 3*j**2. Let u be i(h). Solve -3*n - 10 = u*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9654651995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 33 = -10*p - o, -4*p - o = -26. Suppose -p*k + 8*k = 102. List the prime factors of k.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 4*i + 31*i - 184 = 0. Solve -3*x - 4 = 5*t, 4 = 47*x - 49*x - i*t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {p: 3, q: 3, f: 1, h: 6, k: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75650?\nAnswer: 2, 5, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 j, and 1 u when three letters picked without replacement from {u: 2, p: 2, j: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 54, 87, 122, 159, 198, 239?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 43*u**2 + 7 - 4.\nAnswer: -43*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 10 + 3)*(-q**2 - 2 + 2).\nAnswer: 35*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 53545483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 4071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -220 + 235. Calculate the remainder when 52 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3. Let u = -1652 - -1645. Let i(s) = 5*s**3. What is u*r(m) + 3*i(m)?\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -5.87 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**4*q + 2*n**2*q*v + 6*n*v**2 + 136*q*v**2 wrt n.\nAnswer: 8*n**3*q + 4*n*q*v + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = m - 4*a, a = 4*m + 203 + 30. Let j = 113 + m. Suppose 3*x - 425 = -n, 3*x - 400 = n + 3*n. Calculate the highest common factor of x and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.237 + -0.076. Let l = -90.839 - k. Let z = -90.9914 - l. What is z rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s + 56. Let r(p) = 15*p - 169. Let m(f) = -8*b(f) - 3*r(f). Let c be m(13). Put -1, c, -5 in descending order.\nAnswer: -1, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -717*y = 2357*y - 1909 - 173309 for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 258469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27114, -54228, -81340, -108450?\n\"Answer: j**2 - 27117*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 57 (c) 8755 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) - 2\/(-8). Suppose 5*p + 96 = 236. Suppose b*i = 2*i - p. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jycjyypycyyyuujcyu. Give prob of sequence cyp.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 580 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**3\/7 - 10*v**2\/7 - 24*v\/7 = 0.\nAnswer: -6, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/36*3*2*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -80 + 11?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*p = 4*p + 13606, 2*t - 2*p - 13602 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7838 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4998723 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o + 4*o - 6*o)*(4 - 1 + 1) + (o + 3*o - 3*o)*(1 - 1 + 2) - 3*o + 3*o - 3*o + 88*o + 191*o - 368*o in the form b*o + k and give b.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5995476394 to the nearest integer?\nAnswer: 1817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (15 + -35 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 431 + 439. Solve -4*v = p*w, -w - 4*w = 4*v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/15453 and 125\/35148.\nAnswer: 1792548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 131*a**4 + 2*a**3\/3 + 363*a - 14. Find the third derivative of o(u) wrt u.\nAnswer: 3144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 24683*n - 444577. Calculate i(-18).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 12*m**2 + 31*m - 38. Give r(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -25 + 21 + -467*1\/(-552). Let y = 2\/69 + u. Calculate the common denominator of y and 0 + (2 - 22\/(-16)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 848183.9 days?\nAnswer: 1221384816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2550853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 585 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 12:16 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1844898257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**4 + 68*y**3 - 1032*y**2 + 1584*y + 7776 = 0.\nAnswer: -27, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -378*w - 15. Let i be m(-5). Let l be (-3184)\/10*(-50)\/20. Let b = i - l. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 317837339 + -317837335.99999998. Let l = m + -3. Round l to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttteettettttet. Give prob of picking 3 t.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46318?\nAnswer: 2, 23159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) 34 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 1. Let x = 159 + c. Suppose 0 = -5*i - x + 656. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37698816 is divided by 37698816.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/((-459)\/6))\/(1*2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + (0 + -3 - (30 - 46))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 214 + -212. Factor 40 + 3276*k + 196520*k**3 + 52020*k**t + 1314*k + 95.\nAnswer: 5*(34*k + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -0.2 (c) 3\/14 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 12:51 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22990 and 686070.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 270 = -3*t. Let k be (-9)\/6*(-8)\/t. Sort k, 2, 5.\nAnswer: k, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 3*s**2 + 2*s - 2. Let y be o(-4). Let t = y + -4. Suppose t*b = -b. Are b and -1\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 6*o - 5. Let a be h(5). Suppose 0*j - a = -3*j. Let f be j + (-3)\/3 + -1. Solve 0 = -k - f*k - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, f: 11}. Give prob of picking 4 f.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 9:19 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30.6 - 33. Let g = r + 2.8. Let v be 147\/(-66) + 10\/4 + -1. Which is the biggest value? (a) g (b) -1\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 85 + -179 + 182?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -5*a**6\/2 + 14*a**5 - 5*a**4\/4 - 130*a**3\/3 - 20*a**2 - 3365. Determine y so that d(y) = 0.\nAnswer: -1, -1\/3, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((5 - 2 - 15) + 10) - (1 - -20).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -g - 96*f + 90*f, 0 = -5*g + f + 6. Let n = -10\/253 + -10749\/3289. Calculate the common denominator of g and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007036626 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.5504 minutes to microseconds.\nAnswer: 3873024000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28552768323.4299934 + -28552813405. Let z = h - -45080.89. Let p = z + 0.68. What is p rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**6\/120 - a**5\/12 + a**4\/6 + 5*a**3\/6 - a**2. Suppose 4*x + 16 = 0, 0 = 4*m - m + x - 8. List the prime factors of n(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -5*y + 5*a, 3*y = -a + 3 - 143. Let n = 99 + y. What is the highest common divisor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 12, w: 1, x: 3}. What is prob of picking 1 x and 2 u?\nAnswer: 99\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*l - l + 26*l - 30*l**3.\nAnswer: -30*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 5*r + 7. Suppose 0 = -897*h + 882*h + 45. Calculate t(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 12*h**3 + 459*h + 0*h**2 - 2019 + 2019.\nAnswer: 12*h**3 + 459*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 0)*-2 + -4.\nAnswer: -4 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -28.4. Let o = 3 + v. Let y = 0.3 - 0. What is the nearest to 0 in y, -4, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39\/130 - (-1 + 1). Are m and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f. Let w = -5 - -19. Let h = w - 17. Let r(p) = 2*p - 3. Let c(u) = 6*u - 8. Let x(k) = h*c(k) + 8*r(k). Determine x(t(g)).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 16771*t**2 - 654078*t + 351 = 0.\nAnswer: 9\/16771, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(-2))\/(-8 + 10). Let s(u) be the first derivative of -7\/8*u**4 + i*u**2 + 0*u - 1\/3*u**3 + 1 - 1\/2*u**5. Determine v so that s(v) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 666\/(24 + 13) - 112\/8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/a**(-1\/7))*a\/a**(-3))**(2\/63)\/(((a**(-1\/7)*a)\/a**(-2\/5))\/((((a*a**(-6))\/a)\/a*a*a)\/(a*a\/a**1*a))) assuming a is positive.\nAnswer: a**(-18007\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1217\/1080 - 1\/540. Let a be (-3)\/(63\/(-2)) - (-1080)\/36288. Determine p, given that p**2 + 0 + h*p - a*p**3 = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5 + 11. Suppose 0 = -5*n + 25, -113 - 17 = -4*m + z*n. What is the units digit of (m - -3) + (-5 - (-2 - 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 8*n**2 - 15*n - 8. Let t be i(-6). Let u be t\/6 + (-7)\/(-21). Solve r = -u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**8\/504 - q**7\/945 + q**6\/108 + q**5\/270 - q**4\/54 - 3*q**2. Find s, given that t(s) = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 3*m + 18. Let c be f(3). Let d be c*(1 + 0) - -7. Let b(r) = r + 1. Let k be b(3). Solve k*z = d + 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-12) - 5\/(-10)*-1. Solve -109*z + 108*z = g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 108 = -4*j. Let m = 17 - -7. Suppose j = 5*p - m. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 115*d**2*h*p + 2*d**2*h - 40*d**2*p - d**2 wrt h.\nAnswer: 115*d**2*p + 2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 264, -349, -3 in decreasing order.\nAnswer: 264, -4\/5, -3, -349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - o - o - 333, -2*j = 4*o - 642. Let c = -321 + j. Solve k - c*k - r = 15, 3*r = -5*k - 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1329 - 1328.8. Sort -0.3, m, -3\/5, 4, -4.\nAnswer: -4, -3\/5, -0.3, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.116 in 3\/4, -2\/7, 2, -4, -1946?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 8*g - 8 = 0. Suppose g*w = -4*h + 12, w + 12 + 0 = 4*h. Which is smaller: w or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.177 and -968?\nAnswer: -171.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 - -41. Let y = 19.0000014 + o. What is y rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 7 = s, 3*f + 75*s + 17 = 77*s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -12 + (-1 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/7))**(-3\/4)*(l**(-4))**(-2\/43) assuming l is positive.\nAnswer: l**(185\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i**3 + 234*i**2 - 385*i + 2081. Determine t(32).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgfgflpllfglgfgpff. Give prob of sequence pgl.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5)*(0 - -5). Let w be 2*(s + 4751 + -3). What is w rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3772 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6716 is divided by 168.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4108 - 5*y + 2053 + 13*y + 2055. Let m(p) = -16*p**2 + 10. Give r(m(j)).\nAnswer: -128*j**2 + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -42. Suppose -3*r + v = -r, 4*r = 5*m - 103. What is the third derivative of 29*s**5 - 7*s**4 + 7*s**4 + m*s**2 - 3*s**5 wrt s?\nAnswer: 1560*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 1, -1, -2 in descending order.\nAnswer: 24, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*j + 204 + 446 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5203\/(-55) + (3\/(-5))\/(-1). Let i = n + 220. Calculate the remainder when i is divided by 45.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61793\/49 + 1261. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27339, 27358, 27391, 27444, 27523, 27634, 27783, 27976?\n\"Answer: k**3 + k**2 + 9*k + 27328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhhrhnnnjhqnnhn. Give prob of sequence rrh.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 10*g - 10. Let v(z) = 5*z - 5. Determine -3*n(d) + 5*v(d).\nAnswer: -5*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -86*g + 87*g - 411. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((1*sqrt(126))\/sqrt(2)*2 + -1 + sqrt(1575) + 2)*-4)**2 + 3.\nAnswer: 672*sqrt(7) + 49416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -106, -92, -116, -190, -326, -536, -832?\nAnswer: -1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-8 + (-113696)\/(-14216)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(45\/(-20) - -2). Which is the nearest to o? (a) -5 (b) -2\/11 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 22 (b) -5 (c) 2 (d) 1\/8 (e) -1 (f) 0.3 (g) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(1596\/5643))\/((-9)\/(-24)*-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3939 - 1098. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 23. Let v be 40\/(-6)*b\/(-8). Let u(p) = 20*p + 2. Is u(v) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) 141\/7 (c) -17.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2 - 126142*j - 883043 = 0.\nAnswer: -7, 126149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-54) + (-716)\/(-18). Suppose 3*c + 148 - g = 0. Let z = c + 63. Calculate the remainder when z is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*x**3\/4 + 41*x**2 - 5907*x\/4 + 3915\/2 = 0. Calculate x.\nAnswer: -29, 18\/13, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8)*40\/(-45)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**17*r**(-11\/7))**(-3\/7) assuming r is positive.\nAnswer: r**(-324\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/5 + (-2 - -6). Let s(i) = i**w - i**3 + 60*i + 1 + 4*i**3 + 2*i**2 - 58*i. Give s(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 224 + 203?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a week in minutes?\nAnswer: 54432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/3)\/(15\/(-18))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**4\/8 - 33*p**2. Let u(i) be the third derivative of 23*i**5\/60 + 3*i**2. What is h(u(m))?\nAnswer: 69*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 1 + 3*t - 5*t - t**3. Let k(i) = i**2 + i - 2. Let l be k(0). Let h = 2 - l. Let n(x) = 5*x**3 + 4*x - 4. Give h*q(s) + n(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(1*sqrt(64)) + sqrt(75) + (2*sqrt(75))**2 + (sqrt(27) + sqrt(81)\/sqrt(3))**2.\nAnswer: 21*sqrt(3)\/4 + 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 4*w**2 + 8*w - 7. Let c be s(5). Let q be c\/(-12)*-42 + 2. What is the greatest common factor of 300 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429*t + 1214372 = -426*t - 629923. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32498581 times 1\nAnswer: 32498581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 13 - 1 = -4*i, 3*c + 4*i = 9. Calculate the common denominator of (14\/16)\/(-10*c\/(-4)) and 59\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 24 = -b - 0, -2*b - 6 = 0. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + ((-3)\/(-1) - (2 - -2)). What are the prime factors of 4 - k - (-432 + -3)?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 8 = 342*y - 344*y, -10 = -15*p + 5*y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 37898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**2 - 18*k - 1. Determine h(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93 + 97. Suppose 96 = b - 2*t, -z*b - 3*t + 206 = -2*b. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8512*c**3 + 26610 wrt c.\nAnswer: -25536*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -41*z**2 + 3*z + 3. Let l(s) = 82*s**2 - 5*s - 5. Let k(j) = -5*h(j) - 3*l(j). Let m(r) = -3*r**2. What is m(k(t))?\nAnswer: -5043*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-362)\/8 + 4\/16. Let d be (8\/(-10))\/(18\/r). Let f(s) = 4*s. Let g be f(-1). Sort g, d, 0 in decreasing order.\nAnswer: d, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -649146 (base 10) to base 11\nAnswer: -403793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/64709 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 3376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 45*t + 42*t + 3 = 0, 6*t = 2*m + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44\/5 + 47\/5. Let s = -33368 - -66735\/2. Which is the nearest to s? (a) 0 (b) k (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 + 3 - 3 + (9081*k - 14*k**3 - 9081*k)*(-3*k + 4*k + 0*k))*(1 + 2 - 2)*(15 - 15 - k).\nAnswer: 12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 5, 1, -2, 3, -3 in increasing order.\nAnswer: -28, -3, -2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 454450 (base 6) in base 4?\nAnswer: 21123132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 561761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1924364 is divided by 60.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.5 + -0.5. Let q = 1.7 + 0.3. Let h be ((-2)\/(-5))\/((-16)\/(-20)). Which is the smallest value? (a) h (b) r (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 813294.9 tonnes?\nAnswer: 813294900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(176\/(-168))\/(-11)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -423 (base 15) to base 13.\nAnswer: -56a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 630300 by 2101.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d - 1464 = -4779. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/943771 or -1?\nAnswer: 2\/943771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 80*a**2 - a. Let g be i(-1). Suppose 6*s + 9 = g. Suppose 10*n - s = 48. Calculate the least common multiple of 8 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**4\/4 + 7*q**3\/3 - 3*q**2 - q - 3. Let r = 11 - 5. Let b be y(r). Is b greater than -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217*g**2 - 69*g**2 - 74*g**2 - 80*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 247*i**4 + 224*i + 3?\nAnswer: 2964*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -205*z**2 - 204*z**2 + 79*z + 3*z**3 - 78*z to j + o*z**3 + b*z**2 + t*z and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -2*o**2 - o**3 + 13*o + 8*o**2 - 13*o. Let x(s) = s + 5. Calculate 5*a(z) + 6*x(z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1119 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 33.\nAnswer: -5\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/((-1)\/1) + 1. Let q be ((-8)\/(-6) - 1) + 76\/(-3). What is the tens digit of (h + q)*15\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + -2 - (0 + -7). Suppose 10*c - 5*c = j. Factor q**3 + c - 1 - q + 4*q**2 - 5*q**2.\nAnswer: (q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2*u = -4*s + 12, 0 = -5*u - 2*s + 6. Suppose 4*y - 11 + 59 = u. Let m = 10 - y. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d - 6. Let q(v) = -3 + 3 - 3*v + 5*v**2 + 2. Let b be q(1). Solve d + b = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -102*s**3 + 35147. Let a(c) = 58*c**3 - 17574. Calculate -7*a(j) - 4*g(j).\nAnswer: 2*j**3 - 17570","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*sqrt(275) - sqrt(275) - (sqrt(11) + sqrt(11)*-2 + 0)).\nAnswer: -96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 7*s**2 - 2*s - 9. Let y be q(-7). Suppose 0 = -10*w + 8 + 12. Let r be (w - 4) + -2*(-2)\/2. Solve r*g - y = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.71 or -11606?\nAnswer: -11606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 + 163. Let s = z - 62. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 10, -1.\nAnswer: -1, 10, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 7) to base 12.\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3\/(h\/(h\/((h**(-13)\/h)\/h))))\/(h**(21\/4)\/h**(7\/9)) assuming h is positive.\nAnswer: h**(487\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 10*z + 7 = -6*z, z = -5*a + 13. Solve 0 = a*l - 4 - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (7 - 11 - 0) - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 90 (b) -44\/3 (c) -150 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -147 + 306*k + 17*k**4 - 5*k**3 + 16*k**3 + 148 + 97*k wrt k?\nAnswer: 204*k**2 + 66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1316 is divided by 359.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -8*l + l. Suppose -4*t + 23 = -9. What is the smallest common multiple of t and (8 + -3)*22\/l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60402 = -270*g - 58242 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000054016443 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4*x + 68 = 21*d, -26*x + 28*x - 9 - 41 = -15*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 538006*k**2 - 8736*k - 29 wrt k.\nAnswer: 1076012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 160\/35)\/(6\/(-21)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n**2*s*y**2 - 2*n**2*s*y - 8*s**2*y**2 + 4*s**2*y - 106*y wrt y?\nAnswer: 6*n**2*s - 16*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -8*k - 5. Let t be u(-2). Let v(c) = -9 + t*c - 3*c - 4*c. What are the prime factors of v(8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69641 and 2922?\nAnswer: 417846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.47 less than or equal to 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -243, -662, -1337, -2262, -3431, -4838, -6477, -8342?\n\"Answer: f**3 - 134*f**2 - 24*f - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.0796 - -0.1136. What is s rounded to 1 dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -1. Let j(m) = 2*m - 2. Let t(w) = 3*d(w) + j(w). Let g be (-4)\/(3*3\/(-18)). Suppose -g*p + 4*p = -16. Calculate t(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 8)*((-27)\/(-6))\/(-9). Let p be ((-6)\/s)\/((-24)\/(-10740)). Does 5 divide 7\/(-14) - p\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -113\/10 at least as big as -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -110 - -226. Is 29 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 72 or 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8444 + 17?\nAnswer: 8461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2397 - -9620. Is 26 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 6 = -3*m + 14, -4*m - 4*i = -24. Suppose 3*t + m*h + 119 = 0, -3*h - 2*h + 53 = -t. Let v = t + 29. Which is greater: -15 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344177566 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3345*v + 1160*v - 618*v = 72*v - 91560 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 208.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from pkgpgkgpgbggggigkxg?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*p + 2710, 4*p + 1385 + 4059 = -2*o. Let f be p\/(-220) - (-4)\/(-22). Let l be (425\/30)\/5 - (-1)\/f. Solve -l*b + 7*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 57*f**2 + 11*f - 11. Let t(k) = 29*k**2 + 6*k - 6. Let u be 12\/(-234)*-13*66\/4. Determine u*t(n) - 6*g(n).\nAnswer: -23*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 102*j**4 - 48 - j**3 + 79 - 33 in the form h*j**3 + u*j**4 + x*j + n*j**2 + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 1 = -r, -r = r - 8. Let f = 14 + -10. Sort 0, o, f in descending order.\nAnswer: f, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c\/c**(-4\/7))\/c*c)\/c**28)\/((c*c\/(c*c*c*c**20*c))\/c**(-1\/9)))**(-7) assuming c is positive.\nAnswer: c**(223\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -25\/4*c**4 + c**5 + 19 - 35\/2*c**2 + 10*c + 15*c**3. Factor v(g).\nAnswer: 5*(g - 2)*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18052 - -25847. Suppose 0 = 7*z - r - 5428. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 8. Let v be i(-7). Let l be 1*(-3 - -1) - 1. Let m(k) = k. Let c(f) = -5*f. Calculate l*m(t) + v*c(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52.00009 - -52. Round q to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1586522592583 + -1586522590598.000002062. Let a = t - 1985. What is a rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -12. Suppose 9*x + 2797 - 10897 = t. Round x to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9306450229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9\/2, 123, 956, 0 in ascending order.\nAnswer: -9\/2, 0, 4, 123, 956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299500 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/29 and -15\/1079119.\nAnswer: 1079119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6*10\/(-204)*(-6)\/15\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276886483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 26. Let g = l + 33. Let m = -3 + g. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 7*g - 4 - 5*g - g + 1 + 6*g**2. Let o be x(-2). Solve 21 = 5*q - 2*l - 0*l, 0 = 3*q + 2*l - o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(1*2\/4). Let u(p) = -p - p**2 + g + 6*p + 1. Let s be u(5). Solve 6*m = s*m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6965 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -9156.\nAnswer: -64092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*r + 206*r + 111*r + 1946 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 960115881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33607.\nAnswer: 7, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 0 + 0 + 3*f. Let x(t) = 4*t. Let s be -3 + 1 - 1 - 332\/(-4). Let r = s - 86. Give r*n(c) + 4*x(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 4*y**2 + 3*y + 2. Let h be (-9)\/(-27) - 20\/6. What is p(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(2\/3))**(-43)\/((v\/(v*v*(v*v*v\/v**2)\/v*v*v*v))**(-25)*v**(-1\/2)\/(v\/v**(-1\/6))) assuming v is positive.\nAnswer: v**(-209\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 3128306?\nAnswer: -3128309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 8. Factor -2*p**3 - p**4 - 5*p**2 + 0*p**4 - 2*p**f - 2*p.\nAnswer: -p*(p + 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.71 and -1.094.\nAnswer: -0.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4*(sqrt(153) + -2*sqrt(153) + 5 + 4) + 2))**2*5.\nAnswer: -41040*sqrt(17) + 175140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3 - 103*k - 8 + 108*k. What is u(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*j**3 + 99*j**3 + 16*j**2 - 16*j**2.\nAnswer: 122*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, 0, 4098, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 8*i**2 - 5*i + 4. What is the units digit of f(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -165606\nAnswer: -993636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.07467778 to 2 dps.\nAnswer: 30.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16674600 divided by -166746?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3) + 1)**2*3 - -3*(sqrt(54)\/sqrt(2))\/sqrt(9)) + -3*((sqrt(432) - (0 + -2 + sqrt(432)))*-4)**2.\nAnswer: -180 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sym when three letters picked without replacement from {m: 2, g: 1, s: 4, y: 4}.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95544 - 66841. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1085 and 1705.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, b: 3, t: 5, c: 2, q: 1}. Give prob of picking 1 n and 1 b.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c*(c*c*c*c**(2\/3)\/c)\/c*c))**(-2\/27)*c**(2\/21)\/c*c\/c**(-3)*(c**(-1)*c\/c**(4\/5))\/(c*c**(-5)*c*c**0) assuming c is positive.\nAnswer: c**(15992\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22217575 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 51 + -4 - (19 - (-12 - -13))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v**2 - 2*v + 65 - 114 + 82 + 133*v**4 + 0*v**2 wrt v?\nAnswer: 1596*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -200342?\nAnswer: -200402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 90. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - (-21)\/6)*2. Let v = f - 4. Let b be -2 + (0 - -19) + v. What is the greatest common factor of b and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2053.\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*g - 80, -5*b + b + 3*g = 80. Let u be (-468)\/28 + 2\/(-7). Let l = u - b. What is the greatest common factor of l and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11643 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2376063, 0, 14.\nAnswer: 0, 14, 2376063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 502*f - 81315. Determine l(162).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 4.7. Let r = -9 - -15. Suppose r = z + w, -21 = -2*z - 4*w + 1. Which is the closest to z? (a) -1\/11 (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1813, -3617, -5419, -7219, -9017?\n\"Answer: l**2 - 1807*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**6*d*d\/((d**(1\/9)*d*d)\/d))\/(d\/d**(-5)*d)**2)**(-3) assuming d is positive.\nAnswer: d**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 481*j - 2929. Give b(6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 58?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*q + 55*q + 82 + 22 = 0 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - d = 173, -p + 2*d = -d - 29. Let b = 37 - p. Let c(u) = -u + 15. Let s be c(11). Solve 0 = -s*a + b + 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = o - 4*s, 3*o - 4*s - 155 - 409 = 0. Suppose 23*q - 88 - o = 0. Solve 44 + 16 = q*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 take away 0.023?\nAnswer: -0.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 + 2*a**2 - a**2 + (2 - 2 - 2*a**2)*(-1 + 2 - 3) + 2*a - a**2 - 2*a + 44*a**2 + 1160*a - 1160*a + (-6 + 0 + 4)*(-2*a**2 + a**2 - a**2).\nAnswer: 50*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -19*18\/(-1 + -17)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 - (20 - 56)) + ((-334)\/(-36) - (3 + -2))?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001007654 to 5 dps.\nAnswer: -0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(5\/2))\/g)\/(g**9*g)*g**(2\/3)\/g**(2\/7) assuming g is positive.\nAnswer: g**(-467\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 1 - 13) + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -30. What is the biggest value in -5, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in sixty-one halves of a second?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23*g**3\/4 - 2719*g**2\/4 - 3975*g\/2.\nAnswer: -g*(g + 3)*(23*g + 2650)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -2, 3 in ascending order.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(3\/11)\/p)\/p)\/p**28)\/(p\/(p*p\/p**(-1\/15))*p)**(-30\/7))**48 assuming p is positive.\nAnswer: p**(-110928\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 4 = -5*p. Let s be 2*1\/(-2)*p. Which is the second smallest value? (a) -10 (b) -2 (c) s (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19137 + 27192. 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 the second derivative of -154854404*k**3 - 2*k**2 - 102203740*k wrt k?\nAnswer: -929126424*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 427, 854, 1281, 1708, 2135?\n\"Answer: 427*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 - b**2 + 3*b**2 + (1 - 7 + 0)*(17*b - 23*b**2 - 17*b + 240*b**2) to m*b**2 + z*b + h and give m.\nAnswer: -1298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 4*v - 8*v - 23, j = 5*v + 22 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 40. Suppose 4*n + 16 = p*j, 2*n = j + 4*n + 4. Suppose j*c - 138 = 68. Calculate the remainder when c is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - t - 17 + 5*t.\nAnswer: 7*t - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.25496 days in milliseconds?\nAnswer: 4514828544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/348260 and -113\/108?\nAnswer: 9403020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b*(b\/b**8)\/b)\/b)\/b**(5\/2))\/((b**(1\/7)\/b)\/b**(-2\/3)))\/((((b**(-2)*b)\/b)\/b*b)**8*(b\/b**(-1\/10))\/b**(-1\/3)) assuming b is positive.\nAnswer: b**(184\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4798 times -5?\nAnswer: -23990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*sqrt(192) - (-1 + -2*sqrt(192)))**2*-5.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128.7 - 134. Let h = -115.3 + 110. Let z = o - h. What is the nearest to z in 1\/3, 1\/6, -3\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -1 + 5 + q + 2. Let g(c) = -c - 7. Let p(k) = -3*g(k) - 2*y(k). Is 6 a factor of p(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 51 = 16. Let u(t) be the third derivative of -t**4\/12 - t**3\/6 - 4*t**2 + 4. Let s(h) = -h**2 - 12*h + 3. Let c(o) = -s(o) + 3*u(o). Give c(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2293, -214\/15 in descending order.\nAnswer: 0.3, -214\/15, -2293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1 + (2 + sqrt(425) - sqrt(425)) - (0 + sqrt(425) + 2 + sqrt(425))))**2*2*-5.\nAnswer: -17040 + 400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 4*w - 3. Let h be c(-5). Suppose 0 = j + 3*f, 3*j + 3*f - 40 = 2*f. Let x be (j\/(-9))\/(3\/(-9)). Solve 8 = h*p + z, -5*p + 16 = x*z - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-12) + 17\/(-60). Let h(m) be the second derivative of 0*m**3 - 3\/2*m**2 + 0 + 0*m**4 + o*m**5 - 3*m. Differentiate h(i) wrt i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46*a**4 + 54*a**4 - 79*a**4 + 30 wrt a?\nAnswer: 84*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8956078, 35824278, 80604612, 143297080?\n\"Answer: 8956067*f**2 - f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, r: 8, c: 10}. What is prob of picking 1 x and 2 r?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (235*r + 230*r - 696*r + 573 + 232*r)*(5*r**3 - 10*r**3 + 3*r**3).\nAnswer: -2*r**4 - 1146*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3737, -7252, -10781, -14330, -17905, -21512?\nAnswer: -25157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*i = -40*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 18 = -14. Calculate the lowest common multiple of (3 - -3)\/(2 - 0) and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 4532549\nAnswer: 9065098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - 1335?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 6. Let o be z(-4). Let y(l) = -l**2 + 7*l + 18. Let u be y(8). Suppose 5*q + u = 5*i - 0, 5*i = -q + 16. Sort o, -4, q.\nAnswer: -4, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -761, -837, -913, -1001, -1113, -1261?\n\"Answer: -2*w**3 + 12*w**2 - 98*w - 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/16*(-3)\/((-15)\/2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t + 0*t + t)*(0*t + 2*t + 0*t) - 173*t**2 - 1164*t + 1164*t as z + k*t + x*t**2 and give x.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-95)\/210 + 1\/6. Let n = 31 - 19. Let u = 12 - n. Which is the closest to u? (a) 0.4 (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1020101 (base 3) to base 13\nAnswer: -544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 737812 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 26208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42432253 (base 6) to base 16.\nAnswer: 130d49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 11. Let o be n(13). Solve 4*s = 4*m + o, -6*m + m - 26 = -3*s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*q + 28. Let k be (-1 - -48)*(q + -5). Suppose 4*n = k - 7. What is the remainder when 18 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 975254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/10)\/(87\/(-261))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27.58 + 26.58. Let q = -16 - -11. Let l = 353\/6 - 59. Which is the closest to -4? (a) l (b) q (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*o - 56, -2*z - 16 - 10 = -3*o. Solve -12 = 3*n - 7*n, 2*n + o = 4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591667 divided by 6?\nAnswer: 591667\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-20))\/((-3867)\/10312)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 - 1.8. Let h = p - -2.6. Let o = 48 - 48.2. What is the nearest to 0 in h, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(114)\/sqrt(6)*-4)**2*-4*-3.\nAnswer: 32832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1977, -1909, -1719, -1347, -733, 183, 1461, 3161?\nAnswer: 5343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 8:19 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 14 + 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 49 + 106210?\nAnswer: 106259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b. Let i(n) = 14226380*n**2. Determine i(p(x)).\nAnswer: 512149680*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4406323?\nAnswer: 4406323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000208162 to 6 decimal places.\nAnswer: 0.000208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 m when four letters picked without replacement from {m: 9, g: 2}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a second in milliseconds?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f + 119. Let d be c(-19). Solve 3*b = -5*t + 5*b + 10, b + d = -3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5\/m**(-7\/5)*(m**(-2)*m)**(-19))**(-1\/7) assuming m is positive.\nAnswer: m**(-127\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-382)\/(-56) + -5 - 918\/(-2142)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 4968.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 6*p**2 + p + 8. Let f be (-50)\/8 - (-10)\/40. Let s be r(f). Suppose l = s*l - 751. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152430737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/5)*v)**(-49))**9*v*v**(-3\/7)*v*v*v**(-1)*v*v**(2\/11)\/(v\/((v\/(v**(-1\/4)*v))\/v)) assuming v is positive.\nAnswer: v**(-405939\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 1:54 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(g**3 + 0*g**3 + 0*g**3) + 0*g**3 + 0*g**3 + g**3 + (-3 + 2 + 4)*(2*g**3 - g**2 + g**2) + 2*g**3 - 4 + 4.\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/9*g**2 - 454\/9*g + 452\/9 = 0 for g.\nAnswer: 1, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 19 = -5*k, -9*k + 2*n - 21 = -2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2774, -4415, -6040, -7643, -9218?\nAnswer: -10759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 1, 1964182?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10016070 and 854880.\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-12) + 935\/(-374).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*u = n + 2, 0 = -n + u - 1. Suppose n = l + 4*v - 23, -v - 4 = -5*v. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2176*t**3 - 5*t**2 - 29*t - 40. What are the prime factors of u(-2)?\nAnswer: 2, 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1577, 1581, 1587, 1595?\n\"Answer: c**2 + c + 1575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/4 of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3080*z**2 - 3*z + 3112*z**2 + 3100*z**2 - 9286*z**2 + 3*z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -17. Let u = 4 + o. Put u, 4, 0 in increasing order.\nAnswer: u, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*f + 12 = 0, -3*f + 0*f = -2*j + 4. What is the nearest to 2\/7 in 0.4, -5, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*(j\/(j*j**(-8)\/j*j*j))\/j))\/j**(-5))\/(j\/(j\/(j**3\/j*j))*j*j**(-4\/7)) assuming j is positive.\nAnswer: j**(-31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 15, m: 5}. Give prob of picking 3 m and 1 e.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32167855?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 3*u + 60, 4*f + u - 64 + 16 = 0. Suppose -3*l - 4*r = 4949 - 4927, 2*l - 11 = r. Calculate the least common multiple of f and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -144833*d*o - 3*o + 11327 wrt d.\nAnswer: -144833*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90 - -89.6. What is the closest to 2 in -0.03, v, -5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -128 not equal to -129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-20*50\/123000.\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 807*j. Let r(x) = 5*x**2. What is d(r(z))?\nAnswer: 4035*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 725?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 9:59 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/45 - (-654)\/27. What is the tens digit of 22\/((k\/(-9))\/4 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 10*a = -13*a - 228, g - 5*a + 100 = 0. Is g > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 1. Which is the second biggest value? (a) n (b) -4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 41*k**2 + 102*k**2 - k + 1 - 4*k**2 + 84*k**2. Let n be s(3). What is n rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93603.46ml to litres.\nAnswer: 93.60346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1. Suppose -q = 1 - 5. Find the second derivative of v*b + b**q + 2*b - b - 3*b wrt b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 36?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 138.465 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 1527 + -1518. What is the remainder when 1483 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177.107 rounded to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o. Let g(p) = 233565362*p. What is j(g(t))?\nAnswer: -467130724*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 78208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**2 + 4*j**2 - 2*j**2.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 852 + -847.99. Let w = v - 0.01. Let k = 8 - w. What is the third smallest value in 0.5, 0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -5. Suppose -2 = -14*f + 13*f. Suppose 1 = h - 3*m, 6*m - 18 = -f*h + 8*m. Calculate the remainder when h is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*k**4 - 34298\/5*k**2 + 131064\/5*k - 129032\/5 + 516\/5*k**3.\nAnswer: -2*(k - 127)**2*(k - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*z = -7*z + 186 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 6*h + 3 - 2 - 8. Let w be y(3). Solve -3*o - w*o = -20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(210\/(-924)) + 1 + (23 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 4*p**2 + 2*p + 6. Let s be z(3). Solve -r - 2*d = -s*r, 0 = 4*r - 3*d + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -472719 by -12121.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1355 - -2056. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 - 12*y**2 + 0*y**2 - 3 - 3 + 2*y**2 + y as t*y**2 + g*y + r and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4333 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 31*n - 124. Let v be q(4). Suppose 0 = -4*m - 5*j - 17, 5*j = 3*m - 0*j - 31. Solve m*d + 7*d + 27 = v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -430210230 (base 5) to base 6\nAnswer: -102354555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 109 + 109 + 324*d**2 - 190*d**2 - 5*d.\nAnswer: 134*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 52103464 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 114, 476, 1084, 1938, 3038, 4384?\n\"Answer: 123*x**2 - 7*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12498315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37708*c + 4 - 37707*c + 75418*c.\nAnswer: 3*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*2\/(-50) - 121\/(-5). Solve 355*k - q = 361*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.66467 rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12211 - 12?\nAnswer: -20000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-1 + 1) - (-7 + 11)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3173.8*-6\nAnswer: 19042.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-11)\/11)\/(1\/4). Is 39 a factor of -3 + 12\/x + 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/13 + 482*w\/13 - 58740\/13.\nAnswer: 2*(w - 89)*(w + 330)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3441532*p - 13683229 with respect to p.\nAnswer: -3441532","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-456)\/108 - 0\/(((-18)\/12)\/((-16)\/(-32))).\nAnswer: -38\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128 by -14407.\nAnswer: 128\/14407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23348 is divided by 162?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001 (base 2) to base 4.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 322\/3, -34.\nAnswer: -34, -4, 2, 322\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16\/3 in -0.1, -28103\/7, -0.2, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -6 + -3 + (70 - 0). Let q = 86 - y. What is the remainder when 85 is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 10:32 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -103 - -105. Solve -k*n = 2*y, -5*y = -3*n + 4*n + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32836544 divided by 10352.\nAnswer: -3172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-80))\/(81\/144).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 24. Suppose f*i = 4*i + 8. Is 1360\/(i\/(-2)) + 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 10447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33458?\nAnswer: 2, 16729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*a + 12736803 = 0, d + 22*a = 17*a + 2547356. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-47461325)\/(-325) - 8\/(-52) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 a when four letters picked without replacement from {a: 8, w: 2, h: 5}.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 755*r = -160*r + 68*r - 3388 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(8\/(-28)*42\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 + 32*o + 69. What is k(-15)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 divided by 97.\nAnswer: -110\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 21448.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 15) in base 2?\nAnswer: 100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -233 + 416. Let z = m + 582. List the prime factors of z.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 470 = x, 169 - 955 = 5*y + x. Let l = 4 + -67. Let m = l - y. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160187 is divided by 22850.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 2888. Let m(q) = -42363*q. What is m(s(a))?\nAnswer: -42363*a + 122344344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m + 2308*m**2 + 369*m**3 - 597*m**2 + 2 - m wrt m?\nAnswer: 2214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*(2 + sqrt(125))*5)**2.\nAnswer: 72000*sqrt(5) + 464400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, 5, -7, 10, 0, 91.\nAnswer: -104, -7, 0, 5, 10, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 0*a**2 + 0*a**3 - 32 + 0*a**4 + 3\/5*a**5 + 48*a. Find the first derivative of i(t) wrt t.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 - 11*f**2 - 13*f - 1. What is d(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/208)\/(33\/(-22)*10\/36).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + -3 + (sqrt(152)*-3)\/sqrt(8))**2.\nAnswer: -6*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -792 + 808. Suppose -r*p + 25*p = 0. Is p < 31\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, h: 10, u: 2}. What is prob of sequence eeh?\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 - 594186.\nAnswer: -594186.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*o + 26 + 60*o + 53*o.\nAnswer: 81*o + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/101764 and 157\/54720.\nAnswer: 73270080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285886729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -45529, -45618, -45695, -45754, -45789?\n\"Answer: q**3 - 96*q - 45434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*t - 1. Let n = 64 - 64. Suppose 1 = 4*f - 2*h - 9, f - 4*h - 20 = n. Solve t*y = 2 - f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 + (1 + -3)\/(-2) is divided by (-6)\/(-10 - 2) - (-35)\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/300 and 101\/27930.\nAnswer: 279300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1010010011001101 (base 2) to base 4\nAnswer: 22103031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 + -19. Let l be s\/(-234) + 82\/26. Suppose 0 = 4*v - v - l, -296 = -4*p - 4*v. What is the remainder when p is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -389*y**2 - 1166*y + 834. What is the derivative of c(v) wrt v?\nAnswer: -778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 0 + 1 + 4*d + 5 - 10*d. Let o be g(-6). Suppose 0 = 2*z - 4*v - o, -48 = -3*z + 3*v - 0*v. What is the least common multiple of 6 and z?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 25*d + 50 = 0. Let w(y) be the first derivative of -2\/5*y**5 - 2\/5*y**d + 4 - 1\/10*y**4 + 1\/5*y**6 + 2\/3*y**3 + 0*y. Determine z so that w(z) = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/60*-75)\/((-1)\/(-4)). Find the third derivative of -p*j**3 + 4*j**3 - 14*j**3 - 31*j**3 - 67*j**2 wrt j.\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 21*y + 14. Let k(z) = z**2 - 48*z - 712. Let h be k(60). Let v(m) = -m + 14. Let f be v(11). Let t(j) = -7*j - 5. Determine f*g(o) + h*t(o).\nAnswer: 7*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 558*v + 556.\nAnswer: 2*(v + 1)*(v + 278)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174047?\nAnswer: 174047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 2. Let o(l) = -4*l + 2*l - 5*l - l**2 - 6. What is the units digit of o(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + 0 + sqrt(171) + ((sqrt(171)*2)**2*-3 - sqrt(171) - sqrt(171)) + -5 + 3.\nAnswer: -2054 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99 + 25. What are the prime factors of x?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(2*(-4)\/4). Solve s + h*s = -5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 7657014*m + 30628008.\nAnswer: 3*(m - 2552334)*(m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((24\/(-44))\/(((-28)\/(-6))\/(165\/(-180)))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 4:45 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4346625 to 4 decimal places.\nAnswer: 0.4347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*j, 0*h + 5*h = -3*j + 14. Which is the closest to h? (a) 2\/13 (b) -4 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1871, 1863, 1851, 1841, 1839, 1851, 1883?\nAnswer: 1941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356305 - 4*w**3 + 356305 - 3*w**3.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(48\/(-6) - -7). What is the closest to 2 in c, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4118 + 4090)\/((-2)\/(-4))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 333 - 99 = 0. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**2\/5 - 46*w\/5 + 96\/5 = 0?\nAnswer: -48, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*w - 26476, 0 = 5*f - 4*f + 4*w - 5285. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 - (-71 + (179 - -30))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 9) to base 6.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*l - 33*l + 15*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260545 and 17120.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1155798355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -454 - -453.96. Let c = -0.1 - -0.15. Let t = w - c. Round t to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3142.42 * -2\nAnswer: 6284.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 6*g**2 - 5*g - 10. Let z be v(7). Suppose z*x + x - 25 = 0. Solve t + x = -3*d - 6, 24 = -5*d + 4*t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17451 divided by 17451?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -t + 14, 4*b - 12 = -4*t + 3*b. Let l be 5 + t - (4 + 0). Let v = 2 - 1. Sort -16, v, l.\nAnswer: -16, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2\/17)*w)**16)**(-34)*(w*w\/w**(2\/7)*w)**(-1\/46)*w\/(w*w**9)*w\/(w\/w**(2\/29))*w assuming w is positive.\nAnswer: w**(-10831987\/9338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/6 + 69779*(-285)\/3. What is w rounded to the nearest one hundred thousand?\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 169\/15 - 29\/3. Determine p, given that -4\/5*p**2 + z + 4\/5*p = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 5*3*sqrt(108)*1*3*4)*-1)**2.\nAnswer: 3499200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*n + 5*z, 18*z - 1 = 14*z + 3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/13? (a) 0.4 (b) 2\/9 (c) 2\/15 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 18, -1\/32485?\nAnswer: -1\/32485","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24*14\/(-168))\/(-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**3 - 284*t**2 - 3740*t + 4028 = 0.\nAnswer: -53, -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - sqrt(84)\/sqrt(4)*5)\/((-1*sqrt(12))\/sqrt(4)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*((-3)\/1)\/6. Suppose -z + 3*d + 3 = 0, -2*d - 1 = -h*z + 9. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -8, -10 = 2*b + 2*g - 28. Suppose -4*q = -c - b, q + 4 = -2*c - 0. Solve 0 = -y - q*f - 2, 3*y - 2*f - f = 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -585*d + 2175*d + 20670 = 0 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 2*t**3\/3 - 2. Suppose 3*w - 2*m - 6 = 0, w - 2 = 2*m + 2*m. Let d(r) = -4*r + r**w + 4*r. Determine d(q(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n**3 - 2*n**3 + 3*n**3 + n**2)*(5 - 5 + n) to x*n + f + v*n**4 + u*n**2 + l*n**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -10. Is 3 a factor of (1 + w)*1 + 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -822\/5*g + 0 - 131\/5*g**2 + 1\/5*g**3 = 0. What is g?\nAnswer: -6, 0, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 + (-158 - -75) - (2 - (-26 + 2))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/13846 and 39\/37324.\nAnswer: 858452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -o + n + 12, -4*o + 3*n + 29 = 0. Solve 5 = 5*t - 0*t, 2*t - o = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 107 + -74. Let h(y) = -y**2 - 11*y - 6. Let s = -11 - -7. Let q be h(s). What is the highest common factor of q and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 248.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 5*k - 6. Suppose -3 = -2*x + 9. Let q be u(x). Solve 3*m + 26 = 5*o, -m - 4*o + q = -14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 165945 and 16321329?\nAnswer: 1060886385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1553500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**3 - 3*f**3 + 4*f**3)*(2*f - 2*f + 2*f + 3 + 2*f - 3 + (-5 + 1 + 3)*(-f + 2 - 2) + f + 2*f - 4*f - f - f + 0*f).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233000330233 - 10?\nAnswer: 233000330223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 6:28 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(78)*-3*-6)\/(2*sqrt(600) - sqrt(600)) + -2)**2.\nAnswer: 36*sqrt(13)\/5 + 1153\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735467062?\nAnswer: 2, 11, 33430321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 213327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 42 = -3*b - 3*h, 4*b - 2*h + 52 = 0. Let c = b - -21. Suppose 5*y - m - c = 18, -26 = -4*y + 3*m. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {r: 2, v: 11}.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 9) to base 2\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 11. List the prime factors of w(-5).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((36\/(-21))\/3)\/((-55)\/(-4851)*-9).\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1538*v*x**3 + 2*v*x**2 - 3*v*x - 139*v + x**2 - 16*x wrt x.\nAnswer: 9228*v*x + 4*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1019, 2\/19, 0, -2\/29, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/5 of a millennium?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 436+-0.240102\nAnswer: 435.759898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**3 - 85*p**2 - 26*p - 87. Let b be c(-21). Solve 2*m = 5*i - 2*m + b, 0 = -2*i - 2*m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (2\/(-4) - 6\/(-12)). Let w be (5\/p)\/(-5) - 333\/(-6). Let u be (-4 - w\/(-20))\/((-4)\/10). What is the second biggest value in -5, u, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from {r: 2, p: 2, d: 5, y: 3, f: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u. Let k(f) be the third derivative of 0 - 13*f**2 - 1\/24*f**4 + 0*f**3 + 0*f. Give o(k(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49807777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -14.18. Round c to 1 decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 353*w**6 + w**4*x + 907*w**2 - 15*w*x wrt w.\nAnswer: 42360*w**3 + 24*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16155.3761 - -16168. Let q = 0.2401 + s. Let l = q - 13. What is l rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 1\/9 (c) 0.2 (d) -0.2 (e) -1922\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 - 51. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 65402*u + 1373441. Calculate i(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1798662 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rirrrrir?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + 17*m + 4 - 2)*(2 - 1 - 3).\nAnswer: -24*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (180\/1170)\/((-2)\/(-52)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**4*p + 2*c**4 - 3320*c**3*p + c**3 + 157527*c**2 - 3*c*p wrt c?\nAnswer: 72*c*p + 48*c - 19920*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1617)\/sqrt(11) + sqrt(12)\/(sqrt(4) - -2*sqrt(4))).\nAnswer: -22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 40 = -67. Let q be ((-16)\/36)\/((-30)\/j)*-6. Which is the third smallest value? (a) 2\/11 (b) 0.2 (c) q (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 82 = -12*k, 400*k - 3*t = 404*k + 211 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h + 2*h + 4*h. Let n(f) be the first derivative of -f**5\/60 + f**2\/2 - 1. Let d(s) be the second derivative of n(s). Calculate d(o(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**2 + 2*z**4 + 53*z + 5*z**2 - 58*z as l*z**2 + f*z + y*z**3 + n*z**4 + c and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zbuuzunubazzabzz. What is prob of sequence bbuu?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 2, -1\/6, 0.11, 0.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 20*c + 10. Let a be p(-21). Let k(g) = 2*g**2 + 23*g + 16. Let y be k(a). Does 6 divide (5\/((-125)\/(-355)))\/(1\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7683.93228 + -7684. What is u rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1553*y + 46664. Give m(30).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 4, -8\/3, -1.2, 120.3, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -10*t. Let y(p) = -2*p + 69. Calculate n(y(b)).\nAnswer: 20*b - 690","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -1, -5, -3, 131, 3698 in ascending order.\nAnswer: -5, -4, -3, -2, -1, 131, 3698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/7 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.009 - 0.069. Let z = -3.9 - -1.9. Let j = -0.1 - -0.1. What is the third smallest value in j, b, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 9:00 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 492.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1017*s + 2413*s - 576*s)*(-5*s**2 + 5*s**2 + s**3) + 3*s**4 + s**4 + s**4 as f*s**3 + n*s + g*s**4 + b + r*s**2 and give g.\nAnswer: 2859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -135, 0, 15, 4, 16 in ascending order.\nAnswer: -135, -3, 0, 4, 15, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b**13*b)*b)\/(b*b\/((b\/((b\/b**(-13))\/b))\/b*b)))**(3\/20)*(b**7*b\/b**(-4\/3))\/(b**(3\/4)\/(b**(3\/7)*b)) assuming b is positive.\nAnswer: b**(263\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/18*1*380\/(-570).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202210 - 1102112120101?\nAnswer: -1102111210121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (0 + (-3)\/1). Let g = 152 + -154. Put p, -1, g in ascending order.\nAnswer: g, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15912, -32722, -49530, -66336, -83140?\n\"Answer: t**2 - 16813*t + 900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-20)\/(-225))\/(10\/15)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 472, 3721, 12530, 29677, 57940, 100097, 158926, 237205?\n\"Answer: 463*k**3 + 2*k**2 + 2*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 17 = -3*l + 2*m, -4*l = -2*m - 6. Suppose -10*b + 180 = -l*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -99*t**4 + 33*t**4 - 21*t**2 + 24*t**4 wrt t?\nAnswer: -1008*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, z: 2, x: 6, w: 8}. Give prob of picking 1 x and 2 z.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3402 (b) -3\/2 (c) -0.1 (d) -14 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*x - 0. Let b = 37 + -35. Let t be (13\/(-26))\/(b\/4). Put x, -2, t in descending order.\nAnswer: t, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -30220, -241419, -814670, -1930999, -3771432, -6516995?\n\"Answer: -30171*o**3 - 2*o - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uknk when four letters picked without replacement from nnnukuunuukuuun?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-104)\/20 - -9\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1, 0.08, 0.4 in ascending order.\nAnswer: -1\/4, 0.08, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**4\/12 - j**3\/6 + 8*j**2. Suppose 16*f = 15 + 49. Give o(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-296)\/(-10)*20\/8. Suppose 0 = 2*v - 2*m + 70, 3*v + 3*m + r = -1. Let g = 11 - v. List the prime factors of g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 3*h**2 - 5*h + 9. Let t be f(3). Let v be 0 - -14 - ((2 - -3) + t). What is the tens digit of (-10)\/v*-3*44?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a*a**(-5\/3))\/a)*((a*(a\/a**(-8\/3))\/a)\/a)\/a*a)\/(a**9*a\/a**(-2\/3)))**(-32) assuming a is positive.\nAnswer: a**(608\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 8*b**2 + 6*b - 5. Let u(s) = -s**2 - s + 1. Let v(r) = c(r) + 5*u(r). Let p(k) be the first derivative of k**3\/3 - 12. Give p(v(n)).\nAnswer: 9*n**4 + 6*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -309 + 326. Calculate the remainder when 813 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77)\/(-140)*4 - 3.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2227 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 235049*n*w**3 - 11*n + 2*w**3 + 12236*w**2 wrt w?\nAnswer: 1410294*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + sqrt(114)\/sqrt(6))*5 + sqrt(475)*-1)**2 + (0 + sqrt(2299) + 1*(-2*sqrt(19) - sqrt(19)))**2.\nAnswer: 1691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 280, 274, 268, 262, 256, 250?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 6*m = 2. Suppose -2*b = -y - 3, 5*y - 11 = 67*b - 70*b. Solve -m*n = -12 + b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -1 + 12\/3. Suppose -3*d**4 + 5*d - j*d = 0. What is d?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 1690?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**4 + 0 + s**2 - 2*s**3 - 2 + s**3 to the form t + p*s**2 + h*s**3 + a*s + i*s**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-0.00087.\nAnswer: 0.00348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-75)*(-43)\/((-9030)\/27).\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 893 and 12579315.\nAnswer: 239006985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -16. Let x be 4 + (-2 - -1 - -2). Suppose -4*w - 11 = -39. Solve x*k = 4*k + r*v + w, -4*k = v + 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyfrfcw. Give prob of picking 1 y and 1 r.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 18*t - 41 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -519, -372, -225, -78?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1112 + -1109 + (-1 - (31 + 1)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**3 + 8*o**2 - 4*o - 6. Let l(m) = 2 - 23*m**2 + 15 - 8*m**3 + 11*m - 5*m**3 + 2*m**3. What is 6*l(x) + 17*s(x)?\nAnswer: 2*x**3 - 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 664 - 666, -4*d + 2*s = -6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 333059*g**2 - 1005529 wrt g?\nAnswer: 666118*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.884736 to three dps.\nAnswer: 16.885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*o**3*z**2 - 840*o**3*z - 2*o**2*z**2 + 165*o*z**2 - 5*z wrt z.\nAnswer: 38*o**3 - 4*o**2 + 330*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -1439*k - 10209. Give a(-7).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 6 = 3*o. Let u be (1 - (0 - 49))\/o. Suppose i = -i + r + 1167, 0 = -5*r - u. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -56*q + 1 + 131*q - 62*q. Calculate the remainder when f(2) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r - 24 = 18*r. Suppose 4*u - 18 = -x, 2*x - 4*u = -0*x - r. What is the biggest value in -0.1, x, -1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 223*m**4 + 63.\nAnswer: 892*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34351 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/((-30)\/22)*6. Let j = g - -31. Suppose -3*v + j + 3 = 0. Solve 17 = -v*p - 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -24, -11, -1, -30, 9 in increasing order.\nAnswer: -30, -24, -11, -5, -1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5)\/(4\/(-20)) - (-429 - -351).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 293. Is g(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + p - 3 = 4*p, p + 1 = 2*q. Let u = 3 + q. Solve -2*g - 15 = u*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 47, 54, 65, 80, 99, 122?\n\"Answer: 2*y**2 + y + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 510 divided by -3\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s - 5*s + s - 2)*(0*s + 4*s - 3*s)*(7*s - 2*s - 3*s).\nAnswer: 4*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/135 and -81\/1310.\nAnswer: 35370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18919018*i**2 - 13823103*i?\nAnswer: 37838036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 605?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 249 + 254, c = -3*j - 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 120*p**3 + 238*p**3 - 103*p**3 + 3*p - 2*p**2.\nAnswer: 15*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 10:33 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m**2 - 25*m - 13. Calculate q(-11).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 59. Let d = -18 + w. What is the remainder when ((-204)\/18)\/((-6)\/d) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 2:18 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -790*b + 9907. Determine j(12).\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.145 and -0.00593?\nAnswer: 0.00085985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -5, 3\/14, 4?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (8215831\/(-52))\/(12\/(-48)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + (-4)\/2)\/(-3). Let a be -1*(-1)\/(35\/(-10)). Let r be 3\/6*1*3. What is the closest to q in a, 2, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121 + 205. Calculate the remainder when a is divided by -2 + (-32)\/(-4) - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 j when three letters picked without replacement from {j: 2, z: 7}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06460673 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 403978 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**5\/4 - 22*k**2 + 21*k. Find the first derivative of b(l) wrt l.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 18, z: 1}.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 - -41. Let z be 0\/(2 - b) - -4. Solve 26 = 5*k + 4*a, 2*a - 10 = 3*k - z*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -252221024 (base 6) to base 13.\nAnswer: -1016c17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8310 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**2 + 9085*h + 109740 = 0. Calculate h.\nAnswer: -12, 1829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1373.7 + 1317.776. Let j = 56 + a. Let g = -17.076 + j. Is g at least -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 359*s = 401*s. Suppose 4*i + 10 = -3*w, w + i + 3 = -0*i. What is the closest to w in s, 4, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 + 4.05. What is the biggest value in u, -0.4, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/(-36) + -7 + -1 and -2 - (-5)\/2 - 663\/(-65).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(20) + 4 + sqrt(45).\nAnswer: 6 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 448656?\nAnswer: -7\/224328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 12. Let l(b) = b + 10. Let m(k) = -3*l(k) - 2*r(k). Give m(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1593, 0.5, -18, 1\/13 in decreasing order.\nAnswer: 1593, 0.5, 1\/13, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -5*z - 3*u, -866 + 746 = 4*z + 23*u for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 10:55 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -3, 1\/3, -0.2459.\nAnswer: -3, -0.2459, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115364992 divided by -4.\nAnswer: -28841248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4026567 and 1515?\nAnswer: 20132835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 5. Let c(y) = -y**2 + 2*y. Let h be c(3). Let d be 0*(h + 1)\/4. What is the units digit of a(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 7*u + 54 = 0. What are the prime factors of (-27)\/u + (-19)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*t + 72*t = 1904 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v**2 - 9*v**5 - 9*v**2 + 14*v + 8*v**2 - 2*v**5 wrt v?\nAnswer: -220*v**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 6. Let u be v(0). Is (966 + (-5 - u))*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -63. Calculate the remainder when g is divided by 38.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, a: 8}. Give prob of picking 2 y.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 61, 25, -4, -19, -191 in decreasing order.\nAnswer: 61, 25, 3, -4, -19, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -5617 to the nearest one hundred.\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 + -60. Let k = -41 + j. Factor 0*s**4 - 2*s**4 - 72 + 2*s**5 + 72 + 2*s**k - 2*s**3.\nAnswer: 2*s**2*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17834)\/(-1205))\/(3\/((-30)\/4)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 18 = 2*q, 0 = -2*u - 5*q - 13 - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -5*i**4\/12 + i**3\/2 + 69*i**2\/2 - 7*i + 3. Find the first derivative of h(s) wrt s.\nAnswer: -10*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from {z: 6, c: 7, q: 1, u: 4}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/4 in -1\/6, 0.5, 5, 3\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/17)*h\/(h**(3\/7)\/h)*h)\/(h**(-1\/11)*h*h*h\/(h\/(h*(h*h\/h**(2\/5)*h*h)\/h)*h)*h) assuming h is positive.\nAnswer: h**(-13452\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 2*g - 1. Let f be b(-1). Suppose f*a = -5*m + 16, a - 3*m - 5 - 3 = 0. Let r = -5 + a. Solve 2*l = 3*z + 17, -2*l = 2*z + 5 + r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 9. Is (-1659)\/(-5) + 4\/c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k + 307. Let s be v(-76). Calculate the highest common divisor of 589 and s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + p**3 - 82*p - 2*p**2 + 2*p + p**2.\nAnswer: p**3 - p**2 - 81*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 - 4*z**2 + 2*z - 1. Let n be o(3). Calculate the greatest common factor of 230 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2314 + 6214 = 13*b. What is the least common multiple of b and 64?\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 745208 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8783 + -8782.9992851. What is n rounded to five dps?\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djj when three letters picked without replacement from {a: 6, d: 1, j: 9, b: 3}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.4 + 0.4. Let c = s - -6. Let o = 0.3 + -0.1. What is the closest to 0.1 in c, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**2 + 162*k + 50. Determine t(41).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 41*a**2 - 39. Let r(b) = -b**2 + 2. Let n(j) = -2*r(j) - y(j). What is the first derivative of n(l) wrt l?\nAnswer: -78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(19) + -1)*-1) + 1 + sqrt(76).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8\/10 - (-1 - 120\/(-25))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/6 and 59\/1632.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5258190 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 + 393612*t + 19366300818.\nAnswer: 2*(t + 98403)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 4*y**2 + 150*y + 417. What is z(-8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 0*o - 3*b + 14998, -2*b = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15210.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2727)\/7 - 12\/28. Let o = -277 - j. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 + 19756 - (-1 - -2 - -7).\nAnswer: 19751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 11*s - 2*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2232 (base 5) in base 13?\nAnswer: -1b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 17*l**2 + 14*l + 4. Is 99 a factor of q(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 32*k**2 - 513*k + 1898. Give z(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 9:00 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 14 = -3*z, -u + 73 = -3*z + 77. Is z not equal to -218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*f - f. Suppose f = -2*j - 0*b + 4*b - 6, -4*j - 2*b = 2. What is the units digit of (j + 4\/(-20))\/((-4)\/30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 9*d + 895. Let k = -63 - d. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 101*x**2 - 298*x**2 + 102*x**2 + 96*x**2 - 1. Let n(h) = -14*h**2 + h + 4. Suppose 10 - 2 = -d + 3*i, 4*i - 28 = -3*d. What is d*o(r) + n(r)?\nAnswer: -10*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - m + 51 = 0, 5*m - 143 = 2*i - 5*i. Let f = i + -54. Factor 1 + 4*x**2 - 3*x**3 + 4*x**2 + 21*x - 2*x**f + 11.\nAnswer: -3*(x - 4)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 s, and 1 l when four letters picked without replacement from {s: 2, c: 1, a: 4, g: 1, l: 3, x: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n - 5*m + 225267 = -16*n, -3*n + 168933 = -2*m. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 12*u + 5*u**2 + 10\/3*u**3 + 1\/4*u**4 - 4. Let m be w(-9). Solve n + 1 = m for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03807 meters in millimeters?\nAnswer: 38.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10530 and 539370.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101002210112 - -101?\nAnswer: -101002210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 45*b + 1300. Let z be h(65). Solve z = -2*q - 4*p + 10, 35*q - 31*q + 4 = -2*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 252 + -247. Suppose -7*t + 4*t + g*b = -16, -t = -5*b - 12. What is the least common multiple of t and 425?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2. Let w(f) = 101*f**2 - f. What is q(w(x))?\nAnswer: 20402*x**4 - 404*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -495*g + 2*g**2 - 36400*g**3 - 939*g + 39568*g**3 wrt g.\nAnswer: 19008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667357 is divided by 51295.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqvlqjqqqqqgplq. What is prob of picking 1 p and 3 q?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.0552, -5, 4, 0.8 in descending order.\nAnswer: 4, 1, 0.8, 0.0552, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-two fifths of a century?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 23 + 25 - 48. Let m(p) be the third derivative of 121*p**4\/24 + 347*p**2. Determine m(v(z)).\nAnswer: 121*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/46)\/((-6570)\/(-30222))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(5) + sqrt(125)*2 - (sqrt(140) + sqrt(35))\/sqrt(7)).\nAnswer: -40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 110*z**2 + 771*z + 5145. What is o(-103)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + ((-861843)\/(-48) - 2). Let i = l + -17949. What is the common denominator of 49\/4 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0 - 2 = w, 0 = 4*w. Let b(l) = -4 + 0 + 2. Let t(v) = -v + 2. What is d*t(x) + 3*b(x)?\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 5:13 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 9*a + 13. Suppose 0 = 5*v - 1326 + 1256. Let c be ((-24)\/v)\/(46\/(-161)). What is q(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -35. Let b(u) = 7*u + p - 1 - 11*u. Let j(m) = -2*m**2 - 3*m**2 + 4*m**2. Give b(j(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 36 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -19*z**6\/120 - z**4\/6 + z**3\/6 + 3*z**2 - z. What is the second derivative of u(t) wrt t?\nAnswer: -114*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/5)\/t)\/t**7)**(-19))**38 assuming t is positive.\nAnswer: t**(30324\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 17d (base 14) to base 10\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-40)\/(-12))\/((-1)\/6*-4). Solve -f + 7 = g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1595049?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*p**3 - 30*p**3 - 2*p - 80*p**3 + 326*p**3 - 91*p**3 + p.\nAnswer: 27*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 + -3221?\nAnswer: -3323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 93703 = 93847 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x + 5*x - 2*x)*(-374*x**2 + 374*x**2 + 53*x**3) + 3 - x**4 - 3 as l*x + i + y*x**4 + k*x**2 + g*x**3 and give y.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 5*q + 9*m + 14, 0 = q - 4*m - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.7 + 13.7. Let s = 1 - 0.8. Let n = -61 - -60.5. What is the closest to 0.1 in n, s, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 795*t. Let o(x) = -2127*x**2 - 166. What is z(o(c))?\nAnswer: -1690965*c**2 - 131970","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l**3 - 5*l**3 - 11*l**3)*(-42*l + 12*l - 8*l) as n + h*l**3 + i*l**2 + m*l**4 + t*l and give m.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 267822379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/(-6))\/(2\/(-15)*-10). Which is smaller: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f + 4. Let j(b) = 5*b + 11. Let i(w) = -3*j(w) + 8*y(w). Let s be i(3). Solve -2*k = s*k + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-1)*(-608)\/(-3230)*-17\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -2015.36.\nAnswer: -2011.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmd when three letters picked without replacement from odmoaooodaadoom?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/18)\/((-1)\/(-429)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710802459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36847.14 micrometers to nanometers.\nAnswer: 36847140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -12 + 4*f**2 - 3*f**2 - 5. Let n be x(8). Let m = 60 - n. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*r + 60 = 0, 0 = -5*r - 0*r + 15. Suppose 2*p - p - 15 = 0. Suppose 4*i - 199 = -p. Calculate the remainder when i is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1030, -2117, -3246, -4411, -5606, -6825?\nAnswer: -8062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 631, 5713, 14189, 26065, 41347, 60041, 82153, 107689?\nAnswer: 136655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -341985938, -341985937, -341985936, -341985935?\nAnswer: -341985934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**5\/10 - 97*q**4\/30 - 712*q**3\/15 + 60*q**2 + 1202*q. Factor f(o).\nAnswer: 2*(o - 25)*(o + 6)*(5*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 206 and 16686.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 6*j**2 - 9*j - 14. What is the remainder when k(-6) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*h = -0*z + 53, 3*h = z + 15. Let y(m) = -2*m - 16. Let s be y(z). Suppose b - 5*i - 13 = 0, s*b + 3*i = 4*i + 8. Solve -1 + b = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + y - 2*y**2 + (0 + 2*y + 0)*(15*y - 47*y - 5 + 4) + (-5 + 5 + 2*y)*(-3*y + 4*y - 3*y) + y**2 - y**2 + y**2.\nAnswer: -69*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-115)\/(30015\/72))\/4\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1584) - sqrt(1584) - sqrt(11)) + (5*sqrt(55))\/sqrt(5).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, g: 1, v: 3, k: 5}. Give prob of sequence kv.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 7:02 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42\/29 - -520\/319. Which is the nearest to -2\/9? (a) t (b) -0.04 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9 - 1545\/(-171)*1. What is the biggest value in m, -4, -0.2, 4\/7, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2 = -3*n, 0*n = -2*n - 4*c - 18. Put -5, 0, n in descending order.\nAnswer: n, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1291121, 1291128, 1291141, 1291154, 1291161, 1291156, 1291133, 1291086?\nAnswer: 1291009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9002?\nAnswer: 2, 7, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 4*k = -27, 4*r + 5 = -4*k + 25 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.63 - 0.03. Let k = -2.6 + d. Let m = -3 - k. Sort 5, -0.4, m in decreasing order.\nAnswer: 5, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90 + -84. Let r be 1648\/14 - 2 - (-6)\/21. Let i = r - 113. Calculate the highest common divisor of p and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k*k\/k**8*k*(k\/(k*k**(-1\/22)*k))\/k)\/((k*(k*k*k**(-21))\/k*k)\/k*k**14\/k) assuming k is positive.\nAnswer: k**(45\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -928579\/4 - -232151. Find c such that -24*c**2 - 30*c**4 + 0 - 4*c - q*c**5 - 46*c**3 = 0.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.043563451 rounded to two decimal places?\nAnswer: -3.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6*i + 2. Determine b(-7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 789, 1039, 1307, 1599, 1921?\n\"Answer: m**3 + 3*m**2 + 234*m + 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 5:30 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 3*i**2 - 3*i - 4. Let a(u) = -u**3 + 2*u**2 + 2*u + 3. Give 4*a(g) + 3*n(g).\nAnswer: -g**3 - g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11, -1, -20, 0.3, 3079?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17916 - 134383.\nAnswer: -152299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 4. Let k be h(3). Let j be (k - (-1 - -3))*-5. Suppose -30 = -5*g + j. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7*l. Let x(b) be the first derivative of 11*b + 1\/2*b**3 + 0*b**2 + 7. Let t(d) be the first derivative of x(d). Give t(k(r)).\nAnswer: 21*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 136*z**5\/5 + 108*z**3 + 320. Find the third derivative of y(m) wrt m.\nAnswer: 3264*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -28. Suppose 4*k - k + 2*z - o = 0, -4 = -5*k - z. Suppose n - 4*r = -r - 8, k = 4*n - r - 1. Is n smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7226*m**4*w - 24*m**4 + 3*m**3*w - m**2*w - 581*m**2 + w - 399 wrt m.\nAnswer: 173424*m*w - 576*m + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1566855?\nAnswer: 3, 5, 34819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15667\/354 - 9\/118. Let x = -533\/12 - b. Is x equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -114 - -121. Solve 5 = 6*h - w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*a*h + 210*a + 95374*h**3 + 14253 wrt h?\nAnswer: -9*a + 286122*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 18 - 5 = 0. Let m be (-2)\/(8\/(-28))*-1. Let q(x) = x + 10. Let p be q(m). Solve u = -4*w - 3*d, -9 = 3*w + p*d + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -1725475?\nAnswer: 4\/345095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 4) to base 16.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + g**2 - 14*g - 29*g - 61 - 21*g. Let a be k(33). Solve 4*i - 9 = -3*t + 14, 5*t = a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 12:07 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10083?\nAnswer: 3, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 71*t + 68*t - 135*t - 31. Let v be n(0). Sort -4, 3, v in descending order.\nAnswer: 3, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3255547843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*d**2 + 31*d**2 + 53*d**2.\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14489*h**2 + 3660*h - 655286799 wrt h?\nAnswer: 28978*h + 3660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 283 = -l, 3*m - 4*l = 6*m - 163. Calculate the greatest common factor of 2052 and m.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, j: 7}. What is prob of sequence jb?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 25839 divided by -421\nAnswer: -25839\/421","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647 is divided by 473.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 5*t + 32, 5*d - 86 = -11*t + 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/46275?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 531 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o = -9*o - 47565. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, 198, 929, 2082, 3657?\nAnswer: 5654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4710678.\nAnswer: 2, 3, 7, 59, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i - 7620 = -15*i. Let r = i - -812. Let z = 132 + r. Round z to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 13*d**3 - 67*d**2 - 69*d + 163. Let j(u) = 3*u**3 - 17*u**2 - 17*u + 41. Let p(y) = -9*j(y) + 2*w(y). What is the units digit of p(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 5*r - n, 3*n = 39*r - 41*r + 43 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7507 a factor of 350591331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 277755 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2201323 + 30101?\nAnswer: -2111222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 52495 and 1013618921.\nAnswer: 1013671416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h. Let u = 5 - -8. Suppose -18*o + 25 = -u*o. Suppose 0 = 4*a + 1 - o. Calculate x(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 670490316?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20000010212011 (base 3) to base 8\nAnswer: 14131242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25945792.\nAnswer: 2, 19, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/3 + 5 + 13\/351*423\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 0)\/(-2) - 9\/6. Suppose -4*k = -7*k. Is k at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l = -237 + 175 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 985256 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c + 3. Let d(q) = q**2 - 5*q - 2. Let x = -1 - 3. Let o(j) = x*b(j) - 3*d(j). Factor o(y).\nAnswer: -3*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.33 + 0.03. Let x(j) = 15*j - 81. Let g be x(10). Suppose 69 - g = 9*p. Which is the closest to 0? (a) p (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -16. Let s = 28 + j. What is the remainder when s is divided by (0 - 20)*(-8)\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 4999122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*p + p. Let o = -4.02 + 0.02. Let f be (2\/(-18))\/(1\/(-4)). Sort p, o, f in descending order.\nAnswer: f, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 9) to base 16\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -78, -73, -56, -21, 38, 127, 252, 419?\n\"Answer: s**3 - 2*s - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) + (sqrt(216) - (sqrt(216) + sqrt(216)*1 + sqrt(216)))\/sqrt(9) + sqrt(24))\/((sqrt(88)\/sqrt(4))\/sqrt(11)))\/(sqrt(726)*2*-4 - 3*sqrt(726)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ee40 (base 16) to base 9\nAnswer: 102588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 40. Suppose f*p = 8*p + 258. What are the prime factors of p?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -45*q**3 + 8*q**2 + 4. Let x(h) = -136*h**3 + 22*h**2 + 11. Determine 17*j(f) - 6*x(f).\nAnswer: 51*f**3 + 4*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -53*s - 2. Let w(z) = 79*z + 3. Give -7*l(f) - 5*w(f).\nAnswer: -24*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 34*d + 366. Give a(-9).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -105 + 153?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, x: 1, a: 4, p: 1, j: 5, z: 2}. Give prob of sequence xj.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -110100111001101010 (base 2) to base 12\nAnswer: -a548a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/6 and 131\/42826062?\nAnswer: 42826062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 1 - s - 1. Let f(u) = 12*u - 4*u + 0*u. What is f(r(d))?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 2887a?\nAnswer: -2887e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 333\/7*(-406)\/174.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114 - -10. Let b be ((-114)\/5)\/(12\/40). Let t = b + z. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 3:53 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, t: 4}. Give prob of picking 3 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is c3d79 (base 14) in base 8?\nAnswer: 1631507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/24 + 37\/(-4). Is ((-66)\/a)\/(4\/318) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2644817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 + 2*b**2 + b**2)*(-55 + 20 + 93) - 5*b**2 + 2*b**2 + b**2 + (-b + 2 - 2)*(-3 + 3 + b) + 0*b**2 + 0*b**2 + 2*b**2 + 0 + 0 + 2*b**2.\nAnswer: -57*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, p: 5, y: 4, r: 1, f: 1, t: 7}. What is prob of picking 2 p and 1 y?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/6, -2, 4, 17.83, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -230 - 1?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(720) + -6*(sqrt(720) + 2)**2 + sqrt(720))*6.\nAnswer: -26068 - 1584*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 770351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 2*u + 4, 26*u - 5 = 21*u - 5*z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 27. What is the second derivative of -d*a - 71*a**2 - 18*a + 3*a - 6*a wrt a?\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 1. Let u be s(0). Let h = 78 - 76. Let w be 7\/42 - h\/(-6). What is the closest to w in 0.1, -5, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -132\/23, -2029?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**4 - h**4 + 0*h**4)*(4 - 2 + 9) + (-2*h**3 + 6*h**3 + 5*h**3)*(h + 2*h - 4*h).\nAnswer: -31*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 - -679\/8. Put 2, q, 6 in increasing order.\nAnswer: q, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -91*l**4\/6 + 310*l**3\/3 + 55*l + 7. What is the second derivative of z(r) wrt r?\nAnswer: -364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95964139.\nAnswer: 4051, 23689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -255225968.876 + -0.5.\nAnswer: -255225969.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 51490 bigger than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.41 + 0.41. Sort j, -2, 3 in descending order.\nAnswer: 3, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 9 - ((-1 - -1) + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*o + 2*k + 120, o - 39 = 4*k. Suppose 0 = 2*q + 2, 3*x = 6*x + 2*q - o. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**17\/d)\/d**(-3) assuming d is positive.\nAnswer: d**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*p - 2*q, 3*p + 3*q - 9 = q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 2 - 12) + -8 + (-10 - (9 - -14)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*p + 17 = 3*p, 4 = 4*p. Sort 1, 3, h in descending order.\nAnswer: 3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -2*g + 5*k, -4*g - 3*k - 109 = -89 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 891531 is divided by 1251?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 5:03 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 11*c - 19. Calculate n(8).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5, 8, 21?\n\"Answer: 13*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6007 - 62127078.\nAnswer: -62127078.6007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) + (2*sqrt(85) - sqrt(85)) + sqrt(85) - sqrt(85))*2 - 2*(sqrt(85) - -1*sqrt(85)))\/(3*sqrt(245)*5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 1\/2*x**4 - 11\/60*x**5 + 0*x - 5*x**2 + 1\/120*x**6 - 11\/6*x**3 + 0. Is 2 a factor of z(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*p - 28*p - 108. Let t = 60 - 27. Calculate the remainder when t is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2764)\/(-420) + -7 - 6\/(-21)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/63 and 139\/141336.\nAnswer: 989352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-160805)\/(-667) + (-2)\/23. Solve 3*i = -d + 264 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 - 1 - 43\/((-2279)\/(-795)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058 at most as big as -50\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from ufiiufuicfuuu.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 464*u**2 - 56*u - 301. Is h(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 + 461 + (-1)\/1. Let q = -287 + x. What are the prime factors of q?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 1:11 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 635 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - h - 1. Let q be d(0). Do -5\/11 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -1014352324?\nAnswer: -1014352325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/108*40\/(-12)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -17\/2*o**2 + 0*o**4 + 0*o**3 + 0*o - 1\/720*o**6 + 1\/180*o**5 - 6. Let d(p) be the second derivative of u(p). Factor d(f).\nAnswer: -f**2*(f - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2. Let h be 4 - (-4 - 1*3\/(-3)). Suppose -4 = h*u - 3*u. Let q(v) = -2*v - 17. Let o(j) = -1. Let n(w) = u*q(w) - 6*o(w). Calculate n(i(r)).\nAnswer: 4*r**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 669*s + 80296. Determine v(-120).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 10*g**2 + g + 13. Let a(v) = 6*v**2 - 25*v. Let d be a(4). Let r be (-19 - 4\/(-1))*d\/(-6). What are the prime factors of z(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -102793*b. Let w(r) = r. Calculate w(f(n)).\nAnswer: -102793*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 + 28*r**2 - 21*r + 57. Give w(-15).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d - 9210 + 509. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p - 7*p + 28*p**2 + p as j*p + a + o*p**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/14 + (-44)\/(-336)*4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3 + 45. Let b = 12 + k. Suppose 0 = 5*q - b*p + 2*p - 2505, -2*p + 996 = 2*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 88, 1951, 6996, 16813, 32992, 57123?\n\"Answer: 265*b**3 + b**2 + 5*b - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from capzpeu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.84 + -0.16. Let p = j + 7. Which is the second biggest value? (a) 5 (b) p (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 9 = -4*w + 2*w, 3*w = c + 14. Suppose 0 = -5*g - 0*g - s + 40, 5*s - 24 = -w*g. Calculate the greatest common factor of 22 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 1 - 16 + 1 + 2*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwzplat. What is prob of picking 1 w and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54450 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/41116 and 97\/727104?\nAnswer: 13814976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 87, 294, 637, 1122, 1755?\n\"Answer: q**3 + 62*q**2 + 14*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*q**3*y**2 - 268*q**3*y + 2*q**2*y**2 + 2*y wrt y?\nAnswer: -62*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2476302859?\nAnswer: 439, 5640781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + 0*t**2 + 0*t**2 + 0*t**2 + t**2 + 3*t**2 + (2*t - 2*t + t**2)*(2 + 2 - 2) + (-4*t + 4*t - 5*t)*(39 - 4*t - 39) + 0*t**2 + 0*t**2 + 3*t**2.\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 22 = 6*q, -2*q + 24 = 4*g + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -1. Let d = x + -2. Let j(s) be the third derivative of -s**4\/24 + s**3\/6 + 24*s**2. Give j(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00173879322 to 4 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 64515 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1380 and 2190.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*j**5 - 165759*j**4 - 38953315*j**2 wrt j?\nAnswer: 2220*j**2 - 3978216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1270 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2018)\/(-9) - (-22)\/(-99). Let q = 224 - o. Sort 5, q, -1 in decreasing order.\nAnswer: 5, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h + 9. Let v be g(3). Suppose 5*m - 8 = -l + 21, -v*l - 3 = -3*m. Suppose 10 = -w - 4*w. Sort w, 4, m.\nAnswer: w, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9b4 - 3?\nAnswer: 9b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 5*k**2 + 6*k - 2. Let f be g(5). Suppose -2*a - 14 = 5*p + f, 4 = -2*p - 4*a. Is p smaller than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1591241 times -1\nAnswer: 0.1591241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - h = -2*v + 1003, 5*h - 5*v = 1705. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*-0.15.\nAnswer: -3.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-134)\/(-2) + (-11 - -9)\/1. Suppose -3*n = -0*n - 6. Suppose y = -y - j + 145, y + n*j = k. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, q: 4}. Give prob of sequence qiq.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*m + 29*m - m**2)*(-2 + 0 - 1)*(0*m + 4*m - 3*m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2959462*z**4 - 3*z**2 + 10003*z + 217.\nAnswer: 35513544*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 1447*f - 1448.\nAnswer: (f - 1)*(f + 1448)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 0.4 (c) 0 (d) 4\/7 (e) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-30)\/(-16)))\/(51*(-92)\/82110).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -450, -871, -1294, -1719?\nAnswer: -2146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 1:53 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 0.06, -3, -4, -7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*g - 2, 2*o = -5*g + 1 - 7. Suppose 3*f + t = -0*t - 15, -f = o*t. What is the tens digit of (-363)\/(-18) + 1\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 147 + 7. Which is greater: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjnh when four letters picked without replacement from juuxnufxjnnh.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/2 - 6*1265\/(-1794)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-one halves of a tonne?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416*k - 1216*k - 9149*k - 697*k.\nAnswer: -11478*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-21)*d*d**(-1\/9) assuming d is positive.\nAnswer: d**(-172\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 0.1. Let g = 52 + -58. Which is the third smallest value? (a) n (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 445, 0 in increasing order.\nAnswer: 0, 7, 445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3)\/(-6))\/(4\/872)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5347 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/40)\/((-1)\/15). Let a(s) = -s - 6. Let h be a(-6). Solve 0 = -c*t + 5*v - h*v - 30, -t - 11 = -2*v for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2 - 4. Suppose -6*f + 3*f - 4*n + 35 = 0, -2*n = -h*f. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 1068 = 4*d - 4*c, -4*d = -2*c - 1056. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 166 and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -152 (c) -3\/5 (d) 354\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -7. Let r be 3*((3 - 3) + a). What is the tens digit of 12 - (-2)\/r*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**16\/k)\/k)*k*k**(19\/2))\/(k*k\/(k\/k**9))**(2\/7) assuming k is positive.\nAnswer: k**(-75\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 715, 695, 685, 691, 719, 775, 865, 995?\n\"Answer: u**3 - u**2 - 24*u + 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169619 is divided by 56491.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jeejejffeffeffejjje. What is prob of picking 1 f and 1 j?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12871206 to the power of 1\/2, to the nearest integer?\nAnswer: 3588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007691015 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 + 71 = 40*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**2 + 1124*v + 76752 = 0.\nAnswer: -164, -117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.09 - 3.91. Let p = -16.9 - -17. What is the nearest to p in h, -1\/5, -0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1002 - t**2 + 1099 - 2100 - t. Let j(z) = 25*z**3 - 150*z**2 - 150*z + 150. What is -150*a(f) + j(f)?\nAnswer: 25*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1993 + 1991 - 5*n - 3984.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8835 and 22506?\nAnswer: 2138070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 826.5 + -827. Put y, 4\/7, -11\/2 in decreasing order.\nAnswer: 4\/7, y, -11\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 4:10 PM?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 11. Let j be x(8). Let t be ((-2)\/j)\/((-4)\/(-24)). Suppose -t + 14 = -2*v. Which is the second biggest value? (a) 4 (b) -3\/8 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118 divided by -59\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 150, -128357, -1 in decreasing order.\nAnswer: 150, -1, -128357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2012\/1509*1410\/40.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223008656.\nAnswer: 2, 13, 1072157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7999*f**3 + f**2 + f - 1. Let c be p(1). Suppose 4*t = 2*t + c. What is t rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(76)\/sqrt(4) + -1*sqrt(1216))**2.\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 + 19*w + 48. Let d be p(11). Suppose -d*r + 48*r = 2178. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 418761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*h**5*o**2 + 1410*h**4*o**3 - 4*h**2*o**3 - 11*h**2*o + 9*o**3 + 4*o**2 wrt h?\nAnswer: 480*h**2*o**2 + 33840*h*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (20\/90)\/(1*8\/12)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -32*n**2 + 4*n - 14. Let j(c) = c**2 + 2*c - 7. Let z(p) = b(p) - 2*j(p). Let x(i) = -29*i. Determine x(z(s)).\nAnswer: 986*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18, 39, -1.48 in increasing order.\nAnswer: -1.48, 0.18, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**5 + k**5 + 4*k**5)*(5 - 4 - 3)*((2 + 0 + 0)*(6 - 1 - 2) + 2 - 1 + 1)*(-4 + 1 + 4).\nAnswer: -64*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-3)*(-6)\/(-4). Let y = -37 + 41. Find the second derivative of -5*o + m*o + y*o**4 - 6*o**4 wrt o.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 513474 and 197490.\nAnswer: 2567370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -447827 - -670246. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40089 and 321293?\nAnswer: 22169217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(1 - (1 + -1)). Suppose -46*s + 3*w - 8 = -50*s, -16 = -4*w. Which is the nearest to -0.1? (a) -2\/5 (b) p (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 334, 709, 1084, 1459?\n\"Answer: 375*z - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 26 + 20 - 122*z**3.\nAnswer: -122*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 750 + 0?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*-12*(-15)\/(-270)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 12) + (58 - (-51 + 25 + -5))\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7758 greater than -7759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95960 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 5*v - 231 + 199, -q - 17 = -5*v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**5\/5 - 23*n**4\/3 + 158*n**3\/3 - 114*n**2 - 65*n + 2. Factor w(y).\nAnswer: 4*(y - 19)*(y - 3)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 - 62. Let j = 5 - 3. Suppose 0 = -j*p - 4*b - 5 - x, -b - 17 = -3*p. Solve 0 = -p*i - 1 + 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 7*o**2 + 9*o + 2. Let z(f) = 3*f**2 - 395*f - 8*f**2 - 1 + 388*f. Let y(u) = 3*k(u) + 4*z(u). Determine y(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + -33. Let i = -65.7 - s. Let t = 1\/178 - -527\/1246. Which is the third biggest value? (a) t (b) 0.5 (c) -5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - ((-207 - -1) + -3). Suppose -w - h = w. What are the prime factors of 1*(w\/(-4) + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272321, -268845, -263051, -254939, -244509, -231761?\nAnswer: -216695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 74\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03042358 rounded to 3 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.573862 - -138.426828. Let f = x + -150. What is f rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 25*x + 5*p = -110242, -110256 = -4*x - 2*p. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 21*j + 20. Let s be f(20). Let v be (-1 - 1) + -2 + 1. Let a(i) = -i**2 - i + 3. Let l be a(v). Sort l, -1, s in ascending order.\nAnswer: l, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63 - -15. What is the highest common divisor of 39 and g?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(-1 + 2) + -3. What is the first derivative of k + 1 + 7 + 0 + 14*g wrt g?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t - 17. Let i(v) = -v. What is i(u(o))?\nAnswer: 2*o + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*3\/6)\/((-3)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4524*t + 4522*t - 9043*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 897 is divided by 177.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**19*f)\/(f\/(f\/(f\/(f**(6\/5)*f)))))**(13\/4))**(36\/7) assuming f is positive.\nAnswer: f**(12987\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, 1\/4, -26?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcc when three letters picked without replacement from {v: 1, c: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 754058 and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1359891 is divided by 23857.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1342, -1345, -1348, -1351?\nAnswer: -1354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 3. Factor -1 + z**3 + z**3 + 0 + z - 3*z**3 + z**d.\nAnswer: -(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4216 = -95*f - 153*f for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67.815 + -68. Let z = u - 119.815. Let g = -119.9 - z. Which is bigger: -83 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 799.4678 millennia in years?\nAnswer: 799467.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 492 + -492.0001898. What is r rounded to 5 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5503 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -368?\nAnswer: -7\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 192 = -o. Let r be (o\/49)\/2 - 2. Let n = -104\/147 - r. Which is greater: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21539334*d**2*m - 24562576*d**2 wrt m?\nAnswer: -21539334*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3677.848ml?\nAnswer: 3.677848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 3*o**2 - 2*o + 2. What is v(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 526\/371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, 41, 1\/3, 0.327?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6 = l - 2*l, -l - 18 = -5*k. Let c be 18\/(-99) + (-35)\/(-11) + -3. Find the second derivative of -5*b**5 + 2*b - k*b + c*b wrt b.\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31710 < 89.66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-23)\/(-2))\/(18\/972). Let t = j - 356. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 7:34 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42.23 - 42.03. What is the closest to -8 in 1, -1\/5, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/1291 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -37*n**6\/40 + 17*n**5\/15 + 101*n**2. What is the third derivative of m(h) wrt h?\nAnswer: -666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in -0.2, -2\/165, -901, 2?\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 16*u - 5 - 2*u**2 - 2*u**2 - 8 + 1 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-six fifths of a century?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(3 - 2 - 3)*(-509*f + 15*f - 550*f - 50*f).\nAnswer: 4376*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -122 + 99?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1943730956?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 3:29 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -656*c + 655*c + 5*a + 1474 = 0, -3*c + 2*a + 4435 = 0. Which is greater: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*d + 685, -4*x - 108*d + 111*d + 885 = 0. Calculate the greatest common divisor of 285 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4*w**2 - w**2 + 20 + 20072*w - 20087*w = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 467.3 + -23.3. Let y = n + -444.00000105. Round y to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*a - 14 = 0, -2*k + a = -0*a + 22. Let x = k + 21. Calculate the remainder when 17 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61561?\nAnswer: 61561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11077156 a multiple of 606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 852114290.\nAnswer: 2, 5, 17, 887, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1715383536 to the power of 1\/2, to the nearest integer?\nAnswer: 41417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*h + 8. Suppose 0 = -3*u + h + 2. Suppose -2*w = -u, 7*w = b + 3*w. Solve -3*c + c + b = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2107 + -4?\nAnswer: -210b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 21. Calculate n(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 897890093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h = 4*h, 10 = 2*x - 5*h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -6*r, 0*d - 2*d - r - 35 = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 30 = 2*h. Let b(z) = -z + 7. Let c be b(5). Suppose i = c*p + 4*i - h, -i = 5*p - 70. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 8*k - 7*k. Let l be (k\/16 - (-2)\/(-8))*4. Suppose 2*w - 6 - l = 0. Solve -3*c + w*y + 7 = 0, 5*c = 5*y + 1 + 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21311250 and -46.9?\nAnswer: 21311296.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2874*q**3*t**3 - 3*q**3*t**2 + 3*q*t**2 - t**2 wrt t?\nAnswer: -17244*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*0.03254.\nAnswer: -0.09762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34927444?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -423, -1088, -1747, -2400?\nAnswer: -3047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**4\/4 - 7*d**3\/3 + 6*d - 50. Give v(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 3245 - 3245.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 357*p**2. Let f(t) = -242 + 9*t**2 + 479 - 237. What is f(h(v))?\nAnswer: 1147041*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23429165 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*k + 2. Suppose j = 2*l - 4, 5*l - 10 = 2*j + j. Let q = -0.42 - -0.02. Which is the second smallest value? (a) j (b) k (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.1 (b) -3\/7 (c) 0.379 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 - 64. Suppose -2*n + 3*o = 2*n - 418, g = -3*o - 6. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*q - 2*q**3 + 0*q**3 - 85*q + 6*q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 5*l**2 + 1. Let h be 6\/27 + 16\/9. Suppose -4*o + m = -h*o - 15, -40 = -5*o + 3*m. Let y be r(o). Is 0 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -63, -112, -161, -210?\n\"Answer: -49*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*p + 269 + 113 + 152 = 0. Let c(h) = 14*h + 3. Calculate c(p).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 932917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43936 and 6452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 4*s. Suppose u + s = 1. Calculate the smallest common multiple of 3 and 9\/1*(0 + u).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 1414859266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, t: 5, i: 2}. What is prob of sequence tfit?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nsssssszszssssz. Give prob of picking 1 z, 1 n, and 2 s.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(77) + (sqrt(77) - 5*-2*sqrt(77)))\/(sqrt(1331)*1))**2.\nAnswer: 1371\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 456*d**3*j**3 + d**3*j - 600*d**2*j - d + 18*j**3 - 2342*j wrt d.\nAnswer: 2736*d*j**3 + 6*d*j - 1200*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -2888 (b) -2\/3 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/5)\/((-2)\/1 - -3). What is the third smallest value in n, 0.5, -156?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 12, -29.04, -0.56?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -3 + 6 + 1. Suppose d*k + 0*k + 16 = t, 20 = 5*k. Is 32 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5965022 and 2556438.\nAnswer: 17895066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 6. Let j(h) = h**2 - h + 46. Is j(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - h**2 + 3*h - 3. Let o be s(-3). Let t be (-10 + 10)\/(o\/(-2)). Suppose t = -3*a + 77 - 26. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21224 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 6\/7*l - 8\/7*l**3 + 0 + 4\/7*l**4 - 4\/7*l**2 + 2\/7*l**5 = 0. Calculate l.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 - 1270*m + 49730. Let g be q(-672). Let s be ((-1)\/4)\/((-3)\/20). What is o in 1\/3*o**2 + s + g*o = 0?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 4*m + 12. Let v = 0.1 + -0.2. Let r = v - 0. Sort m, -0.4, r in decreasing order.\nAnswer: r, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5 - 4*j + 3*j + 2*j - 2*j. Is c(3) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1856099 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -6 (b) -984 (c) 14\/11 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1529*17\nAnswer: -25993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 152. Let m = o + -123. What is the closest to 1 in 0, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven fifths of a gram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-8)*(-9)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18861\/16 - 1180. Find the common denominator of 55\/16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*u**2*z**6 - u**2 + 3*u*z**5 + 2*z**2 + 2*z wrt z.\nAnswer: -600*u**2*z**3 + 180*u*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -2550?\nAnswer: 13\/2550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -587*c - 405*c**4 - 1320*c**2 + 1320*c**2 wrt c.\nAnswer: -4860*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4856 (base 12) to base 6.\nAnswer: -101350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*p - 9. Suppose p*g - 3 = 9. Suppose -52*w = -60*w - 96. Sort 2, w, g in descending order.\nAnswer: g, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 - z**2 - 4*z - 8*z**3 - 25*z**2.\nAnswer: -8*z**3 - 22*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -4, -0.5, -369?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 30 (b) 1\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44510566 by 2.\nAnswer: 22255283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 8. Let i(k) = -544*k - 5 - 7 + 547*k. Let s be i(x). Which is greater: s or 1\/48?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652*u**3 - 329*u**3 - 324*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from ememmemmbemmemmmee?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -99, -95, -89, -81, -71, -59, -45?\n\"Answer: y**2 + y - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/13)\/s*s)\/s)\/((s**5*s)\/s)*(s**0)**(-2\/7) assuming s is positive.\nAnswer: s**(-76\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 26*l + 9361 = 0. What is the greatest common factor of l and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - o + 0*o)*(3 - 1 - 3) + 8*o + 8*o - 6*o + (1 - 1 - 4*o)*(-2 - 1 + 1) in the form x + b*o and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4485?\nAnswer: 3, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/10, 0.2, 1\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 - 2)*(-5*w**2 + 2*w**2 + 0*w**2) - w**2 + 2*w**2 - 3*w**2 to the form x + g*w**2 + f*w and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-78) - 5*(-10)\/(-182)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 416*a - 14974. Calculate x(36).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 4*a. Let b(j) = j**2 - 2*j + 3. Let v be b(2). Let l(x) = 231*x - 469*x + 233*x - 2*x**3. What is v*l(h) + 4*d(h)?\nAnswer: -2*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -9*z**2 + 5*z + 5. Let u = 10 + -3. Let q(x) = 13*x**2 - 7*x - 7. Let j(t) = u*y(t) + 5*q(t). Let g(m) = m**2. Calculate j(g(f)).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 15 = -43. Let y = 37 + l. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -500*j**4 - 15*j**3 + 30641*j**2?\nAnswer: -12000*j - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61482 and 136?\nAnswer: 4180776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -960921 divided by 24639?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*x - 1729 + 1899 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**5\/20 + c**4\/2 - 5*c**3\/6 + c**2 + 7*c. Let o be x(5). What is the biggest value in 0.3, -0.3, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 419 + 291 = 0. Let f = -117 - n. What is the greatest common factor of f and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**2 - 83\/10*a**6 + 0 + 191*a + 19\/3*a**3 + 0*a**5 + 0*a**4. What is the second derivative of n(z) wrt z?\nAnswer: -2988*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -7*r**2\/2 + 1208. Let p(b) = -40*b**2 + b. Determine p(s(n)).\nAnswer: -1960*n**2 - 7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 4*b + 5*m, -5*m - 65 = -3*b - 7. Suppose -156 = -4*n - 3*w, 2*n = 6*n + w - 156. What is the greatest common factor of n and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*i - 86 = i, 0 = 5*z - i - 107. Suppose z = 5*f - 39. Let h be 0\/2 + (-5)\/(-20)*f. Solve -h*v - 3 = -0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 27*l - 27416. Suppose 0 = 15*u - 33023 - l. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-38)\/8 - 1\/4. Suppose -g = 4*u - 16 - 14, 0 = -u + 2*g + 3. Let z = n + u. Solve 5 = -2*b - y, 4*y + 2 = -z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + (-152)\/16)\/(-1).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8885 = -181*j - 601 + 436 for j.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) 0.1 (c) 23736 (d) -6 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -4*z - g, 0*g - 2*g = 0. Let a = -13 + z. Suppose 0 = o - a*o + 20. Solve -2 + o = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/33539973?\nAnswer: 1\/33539973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -901, 3368 in ascending order.\nAnswer: -901, 0.1, 3368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27983 divided by 268?\nAnswer: 27983\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(80) + 1 + -2)**2 + -3 - (sqrt(80) + -4 + 1*sqrt(80) - (-1 + sqrt(80))*3)) + -1.\nAnswer: -16*sqrt(5) + 315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (36\/120*3)\/(30\/(-25))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8008, 9801, 12790, 16975, 22356?\nAnswer: 28933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 112*k - 165*k - 218*k - 248*k - 257*k as f + g*k and give g.\nAnswer: -776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {c: 1, x: 17}.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 13*v - 18. Let f be b(10). Let t(k) = -5*k**3 - k**2 - k. Let a be t(-1). Suppose 3*q - a = 7. Solve 1 - 4 = -w, q*c + f = 4*w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 147*s**3 + 10*s - 9. Calculate the remainder when a(2) is divided by 86.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221031 (base 4) to base 9\nAnswer: -3550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - m - 4. Determine w(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 b when three letters picked without replacement from bbffbb.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -164697439.\nAnswer: -164697444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 982957288 and 239?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-4)\/3)*(-1)\/(-3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u - 24. What is m(16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4251*n**2 - 784*n**2 + 960*n**2.\nAnswer: -4075*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 5*h - 4. Give d(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.53466 or -21.77?\nAnswer: -21.77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence is when two letters picked without replacement from {i: 2, a: 1, s: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y\/(y\/y**(-1\/13))))\/(y*y*y\/y**(-1\/2))*(y**(-10)\/y)**(21\/5))**(3\/16) assuming y is positive.\nAnswer: y**(-19353\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-6))\/((-2)\/(-6))*1. Let s = -0.25 + 0.2. Let o = s + 4.05. Which is the nearest to -0.4? (a) o (b) -0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 h when three letters picked without replacement from {h: 1, z: 2, p: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*3\/(165\/11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 620 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 59 * -170918\nAnswer: -10084162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2385 divide 1204480866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 7*m - 6. Let z be g(5). Suppose -78 = o - z*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3124 to two decimal places.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.7, 2\/11, -3\/7, -5 in descending order.\nAnswer: 2\/11, -3\/7, -1.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 5*p**2 + 4. Let h be i(-5). Suppose -q + h*q = 6. What is the first derivative of -4*s**2 + 2*s**2 - q*s**2 - 2*s**2 + 3 wrt s?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m = 4. Let z be 3 - -1 - ((-196)\/(-36) + m). What is the fourth biggest value in 1\/4, -3\/8, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (105\/(-6) - -8) + 7. Which is the fourth biggest value? (a) 1\/4 (b) -0.7 (c) m (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1708947655 to the nearest integer?\nAnswer: 1196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t + 2. Let o(v) = -v**2 + 1. Let g(d) = 1. Let h(j) = 3*g(j) - 3*o(j). Determine y(h(q)).\nAnswer: -18*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9355 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*n**3 + 7 - 39*n**3 + 19*n**3 - 17*n**2)*(4 + n**2 - 4).\nAnswer: -n**5 - 17*n**4 + 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001000001101 (base 2) to base 4.\nAnswer: -1020031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76089848134.189947 - 76084782000.79. Let r = 5066130 - c. Let a = 3.4 + r. What is a rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.133 and 5811.\nAnswer: 772.863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1688043 and 108?\nAnswer: 60769548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 574 and 14?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41950 and 209750.\nAnswer: 209750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26967665.\nAnswer: 5, 43, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**2 - 76*a + 13. Let m(k) = -k**2 + 19*k - 3. Give 6*g(u) + 26*m(u).\nAnswer: -2*u**2 + 38*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -14. Let s be u*(1 + 3 - 3). Suppose s = 4*k + 2*v + 14, 2*v = 2*k + 8. Which is the biggest value? (a) -1 (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 2, 1, -3\/5, 0.06, -0.03?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57624 - 12834035.\nAnswer: -12891659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3118586123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + (-65)\/10)*-2. Suppose o*l = 16 - 2. Let k(v) = v**3. Let s be (-27)\/15 + 3\/(-15). Let g(n) = 2*n**3 + n + 1. What is l*k(w) + s*g(w)?\nAnswer: -2*w**3 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*c + 8. Let d = 329 + -320. What is the second derivative of -d*x**2 - 23*x + 3*x - x - 13*x**c wrt x?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/(b*b**0*b)*(b*b*b**(-2\/5)\/b)\/b*b*b*b*b*b**6*b**1 assuming b is positive.\nAnswer: b**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 6*q - 2*q - 484, 5*q = -5*x + 815. Let v = x + -58. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 266 = -78. Let h(s) = -s**3 + 11*s**2 + 2*s. Let j be h(9). Let b = n + j. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-49987)\/5 - (-48)\/120. Let u be 6\/(-8) - (-11 - v\/52). Which is bigger: -180 or u?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16502141, -33004282, -49506423?\nAnswer: -66008564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 - 8*c**3 + 5*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**3\/6 + f**2 - 4*f. Let y be d(0). Find the third derivative of y*p**2 - 2*p**2 + 6*p**2 - 3*p**6 - 2*p**6 wrt p.\nAnswer: -600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 6)*-9 + 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1 + 2 = -4*v, 2*v - 4*t + 14 = 0. Suppose 2*x + 18 = v*k - 3*x, -1 = -4*k - x. Suppose 2*f - 5 - k = 0. Is 2 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23132012130 (base 4) in base 7?\nAnswer: 34362255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 1005 = 5*t, 2*s = -3 - 5. Calculate the remainder when t is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13328, 13846, 14364, 14882?\n\"Answer: 518*l + 12810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17 and 112.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 50 - 5?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 11 - 4 = i, 2*p = -2*i + 14. What is the remainder when 41 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 2*t + 3. Let s be v(0). Let p = -0.2 + -0.2. What is the second biggest value in p, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1111343 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -84 + 78 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -624\/31 + 1717\/93. What is the second biggest value in -0.2, 1, r, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2872 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7.152798mm?\nAnswer: 0.7152798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 345660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -10*x**4 + 160*x**3 + 855*x**2 - 1020*x. Let y(i) = -5*i**4 + 80*i**3 + 427*i**2 - 508*i. Let v(o) = -2*d(o) + 5*y(o). What is w in v(w) = 0?\nAnswer: -5, 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 884\/(-770) - -1 - ((-30)\/(-66))\/(-5).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -5, -1, -2, 4 in ascending order.\nAnswer: -26, -5, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + 18. Suppose 27 + m = 4*k. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002467 to 6 decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38 in 6\/5, -0.5, 426, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -27*j - 17. Let m(a) = -7*a - 4. Calculate -9*m(b) + 2*v(b).\nAnswer: 9*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109213 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l + 85 = 2*d, -3*l + 5*d + 71 = 0. What is the second derivative of l*m**3 - 2*m - 39*m**3 - m + 2*m wrt m?\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 4*y + u + 638, -y - 5*u + 202 = 0. Let n = 225 - y. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**5 - 128*l**4.\nAnswer: 4*l**4*(l - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 7*d**2 + 16*d**2 + 2*d**2 + 6*d**2 - 3*d**2 + 54*d**2.\nAnswer: 68*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 6:57 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3595.\nAnswer: 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 4*b**2 + 5*b. Suppose -7*q - 40 = -2*q. Let n(a) = a**3 + 6*a**2 - 8*a. Let r(o) = q*c(o) - 5*n(o). Find the third derivative of r(w) wrt w.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -2\/415, 11.78 in descending order.\nAnswer: 11.78, -2\/415, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37645942 - 1799886 = 115*q - 6562839. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keipk. What is prob of picking 2 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-30) + 35\/6. What is the tens digit of 45\/2*4\/i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2060 or 2092?\nAnswer: 2092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 9:51 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f**2*h**2 - 10002324*f**2 + 276*f*h**2 - 429*h with respect to h.\nAnswer: -6*f**2*h + 552*f*h - 429","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + 3*j**2 + 2*j**4)*(2 - 2 - 3)*(0*j - j + 4*j + (-65 + 32 - 30)*(0*j - 4*j + 3*j) + 5*j - j - 2*j).\nAnswer: -408*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.2 (c) 0.6 (d) 0.29 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 7*r**6\/30 + 7*r**4\/12 - 7*r**2 + 32. Let x(s) be the second derivative of l(s). What is the second derivative of x(c) wrt c?\nAnswer: 168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-36.86.\nAnswer: -36.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 381 - 254 - 398*h**4 - 646 - 670 wrt h?\nAnswer: -1592*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*t + 33*t - 5, -2*c + 131 = -t. Let a = c + -56. Let x(z) = -5*z - 1. Let h(o) = 11*o + 3. Calculate a*x(u) + 3*h(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 29*g + 5. Let u(t) = 15*t - 22. Let w be u(4). Suppose 44*i - w*i - 6 = 0. Let n be y(i). What is the highest common factor of 17 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.502245 centuries to decades.\nAnswer: 5.02245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b + 4. Let d be q(2). Suppose x - 192 = -x. Calculate the greatest common factor of d and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**7\/630 - z**6\/270 + z**3\/3 + 6*z. Let j(q) be the second derivative of r(q). Let j(k) = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 9:17 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1824 + 177. Calculate the highest common factor of 261 and t.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**2\/15 - 194*q\/15 - 64\/5 = 0.\nAnswer: -96, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (5 + -9 + 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 + 46*u - 5. Calculate y(23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*d + 2321, -2*f + 2*d = 4*d - 1552. Suppose -4*z - z + f = 0. Suppose 3*a - 402 = -5*l + z, 5*a = -2*l + 903. What are the prime factors of a?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3607.601367 rounded to the nearest 10?\nAnswer: -3610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 49\/2, -5 in decreasing order.\nAnswer: 49\/2, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 19796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 7*k + 2. Let o be t(-7). Suppose 0 = 2*v + o*v - 60. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 501403 - -23?\nAnswer: 501430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from reeere?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 11, 1, -1, -0.3, -27696?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -325\nAnswer: -9.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 731*g**3 - 19*g**2 - 408*g**3 + 1 + 20*g**2 + (-4 + 2 + 3)*(4*g**3 - 5*g**3 - g**3) to c + y*g**2 + q*g**3 + i*g and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -697 + 700. Calculate the remainder when 83 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327302?\nAnswer: 2, 37, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxqhxur. What is prob of sequence xu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 less than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**3 - 60*c**4 + 11*c**4 - 2 + 3*c**2 + 45*c**4 + 8 to j + i*c**4 + o*c**3 + l*c + m*c**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7.716? (a) 2 (b) 1\/3 (c) 5 (d) 15 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 5:21 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -444.32 + 444.52. Let q = -1.5 - -2. Let o = 0.9 - q. What is the nearest to 2\/21 in o, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11347 and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29, -22, -11, 4, 23?\n\"Answer: 2*h**2 + h - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6043 - -0.0757. Round c to 2 dps.\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -4)*(-30)\/18. Let q be 9108\/55 - (-2)\/j. Calculate the common denominator of -17 and (-2 - 0)\/((-40)\/q).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-16) - 19\/(-28). Let z = 0.6 + 0.1. Let j = z + -0.2. Put j, x, -0.2 in decreasing order.\nAnswer: j, x, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 11 = 4*t. What is the derivative of -3*n**4 - n**4 + t - 2 - 1 wrt n?\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2028?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56997032 is divided by 4984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8405)\/(-1155) - 24\/132) + -7.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 12*x + 11. Let y = -2 - 9. Let c(i) = -i**2 - 4*i - 4. Let t(h) = y*c(h) - 4*n(h). What is the second derivative of t(a) wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 2*d - 171. Suppose 2*s - d = -r, -4*s - 3*r = -9*s + 113. Let z(c) = -48*c**3 - c - 1. Calculate the remainder when z(-1) is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -1\/5, -0.04, 3, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39\/(-26)*4\/(-2). Find the third derivative of v*d**2 - 18*d**6 + 13*d**2 - 20*d**6 + 49*d**6 wrt d.\nAnswer: 1320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -5 + (-1 - -5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 5:13 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -42 - 22. Is (6712\/(-8))\/((-4)\/a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36213001.936038 - -36208287.33. Let u = 4719.006 + x. Let w = 4.4 - u. Round w to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.2967t in nanograms?\nAnswer: 103296700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 154, 1237, 4170, 9877, 19282, 33309, 52882?\n\"Answer: 154*k**3 + k**2 + 2*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/11 - 438248*z\/11 + 24007663688\/11.\nAnswer: 2*(z - 109562)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7*x**2 + 2. Let d(h) be the second derivative of -6*h**3 - 3*h + 72. Calculate d(i(g)).\nAnswer: 252*g**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 - 66075032.8?\nAnswer: -66074890.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1404 + 467. Let h = a + 1593. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - 40. What is the second smallest value in 26, q, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 18*b - 9*b - 107*b + 333*b + 107*b.\nAnswer: 309*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34794\/(-1933)*(-4)\/(-414).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1976)\/(-16) - (1 - 1\/2). Is j > 123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 97397 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137312538?\nAnswer: 2, 3, 11, 461, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-16)*(27 + -31). Let q be 4*(1 - 34\/24). Is q at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 612*g - 610*g + v - 2652257 = 0, 0 = -5*g - 2*v + 6630641. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -3*s - 26, 4356*s - x - 7 = 4357*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000111 + 11111010000?\nAnswer: 11100001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a second in milliseconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 59*h + 171. Determine q(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10852 is divided by 839.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-4)*(-2)\/(-12). Let d(t) = 4*t**2 + 22*t + 33. Let f be d(-10). Let o = -217 + f. What is the closest to q in -3\/5, 2\/13, o?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217, 98, 955, 2624, 5375, 9478?\nAnswer: 15203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 33, -5, 3, -0.1?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**4 + 831*r**3 - 52692*r**2 - 220836*r - 224208 = 0. Calculate r.\nAnswer: -2, 108, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 61730\nAnswer: 2\/30865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -773 - -772.9. Sort -3\/29, -2\/3, c in descending order.\nAnswer: c, -3\/29, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 11*n**4\/2 + n**3 + 15. What is the third derivative of g(h) wrt h?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -31, 3\/2, 124, 0.3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one sixteenth of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -148 - -159. Which is the closest to -2? (a) m (b) 2\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 + -5. Let u = -49 - t. Let n = -13\/9 - -10\/9. Which is the closest to -1\/14? (a) u (b) n (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 16 = -4*i, -i - s - 4 = 2*s. Suppose 4*k - 20 = 2*r, -k + 10 = i*r + k. Let t(q) = q**2 + q - 8. Determine t(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 2*s - 5*s)*(-2*s**3 + 0*s**3 - s**3 + (5*s**2 - 5*s**2 - s**2)*(0 + 0 + 2*s)).\nAnswer: 10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2424*d = -154*d + 10421 - 2687 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*f + r + 113 = 0, 2*r = f - 46. Factor 108 - 33*j**2 + f*j**2 + 11*j + 25*j.\nAnswer: 3*(j + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422856 is divided by 84187.\nAnswer: 1921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*t + 11, t + v - 6 = 3*v. Suppose -t = -3*l + 4*l. Let s = l - -12. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2. Let t(m) be the second derivative of -m**5\/40 + m**3\/6 + 2*m. Let a(j) be the second derivative of t(j). Calculate a(v(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 19 - 173. What is the highest common divisor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/3 - 250*j - 68068\/3.\nAnswer: -2*(j + 154)*(j + 221)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 + 205\/2*x - 5\/2*x**5 - 28*x**3 + 22*x**4 - 119*x**2 = 0 for x.\nAnswer: -2, -1\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35391 is divided by 42.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 + 2*z**2)*(-3*z**2 + 5*z**2 + 0*z**2)*(4*z + 15 - 15) - 3*z**5 + 5*z**5 + z**5.\nAnswer: 19*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3134011?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21563564.\nAnswer: 2, 11, 113, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -22*o**3 - o**2 - 3*o - 5. Let a be v(-2). Let u = -23 + a. Which is bigger: u or 149?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 2:51 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k + 68. Let m be d(-13). Let x be 4\/7 + m\/((-105)\/(-85)). Sort -4, -5, -3, x in decreasing order.\nAnswer: x, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-2) + 0 - -4810. Suppose j - 585 = -11*i. Round i to the nearest ten.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**4\/4 + u**3\/2 - 1034*u. Suppose 3*n = -2*v + 3*v + 4, 3*n + 2 = 4*v. Calculate x(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - i - 8. Let b be -72 - 9\/(63\/(-28)). Let p = -62 - b. Determine y(p).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4)\/v**(-3)*v**(2\/9)\/v**(1\/6) assuming v is positive.\nAnswer: v**(-17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 498 divide 161405286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1994248579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/38*(-1 + 0). Suppose 5*u = -4*x + 3*x + 7, -2*x - 2*u = 2. Let j be (x\/(-14))\/((-15)\/20). Is t less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001400813 rounded to 6 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4 + 2 - 1 + 2*p. Let s(x) = 105. Let i(v) = 236. Let c(w) = 4*i(w) - 9*s(w). Calculate -4*c(m) + z(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -2703.717?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2164, -4326, -6488, -8650, -10812?\n\"Answer: -2162*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*d + 13595, g + 8*d + 2741 = 4*d. What is g rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 3 - 10 - 6)*(6*p**2 + p**2 - 2*p**2)*(p - 3*p + 0*p).\nAnswer: -20*p**4 + 130*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17023.\nAnswer: 29, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -366.1 - -441. Let p = 78 - a. Let y = p - -0.9. What is the third biggest value in 0.4, y, 3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - -39. Let d = -496 - -413.4. Let t = j + d. Round t to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82874?\nAnswer: 2, 11, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*f = -16, -53*f + 51*f + 4 = -2*t. Solve t*l - 23 = 5*d + l, 2*d = -2*l - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85 by -126135.\nAnswer: -17\/25227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -9, -21?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-10)*1)\/((-24)\/20)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -428120 by -53515.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 10:17 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -54, -61, -68, -75, -82?\n\"Answer: -7*v - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-44)\/121)\/((-41)\/((-3157)\/(-350))). Let t = -2.79 - -2.6. Which is the second biggest value? (a) q (b) -2\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16325 divided by 14.\nAnswer: 16325\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 194949380*c - 9501315190596100.\nAnswer: -(c - 97474690)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-215)\/75 + 4 - 1) + 438\/90. Solve -7*g + 4*g + 3 = 2*q, y*q = 4*g - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhdowwddsdmmhm. What is prob of sequence dwd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 33. What is the units digit of q + -5 + (-9)\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**5 + 1019380*v**4 - 3058170*v**3 + 3058180*v**2 - 1019395*v.\nAnswer: 5*v*(v - 1)**3*(v + 203879)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*l + 3*l. Suppose l*x = x + 6. Let z = 26 + -101\/4. Which is smaller: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 364 and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1710 and 3610.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 208 + 80. Calculate the greatest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139 + 341. Calculate the greatest common factor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -91544 - 300*w - 490*w + 91546 + 109*w - 61*w to v*w + p and give v.\nAnswer: -742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 5. Let h be k\/3*18\/12. Suppose -3*c - h*x + 10 = 0, 2*c - x - 8 = -3*x. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23619?\nAnswer: 3, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n - 2*n - 3*n. Let c(j) = 8*j**3 + 4*j + 3. Suppose -25*i - 31 = 69. Let v(b) = i*w(b) - c(b). What is the derivative of v(o) wrt o?\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*j + 372, -2*j - 4*p = -j - 186. What are the prime factors of j?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 30*y + 90. What is i(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 229*k + 5. Let b be l(1). Suppose -3 - b = 3*n. Let x = n - -144. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -35. Let w = 24 - t. Let u = 5 - w. What is the nearest to -2\/5 in u, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) - sqrt(320)\/sqrt(490))**2.\nAnswer: 1152\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/32 - 1 - 12\/(-24)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1243 and 12879853?\nAnswer: 141678383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 142.04 and 65.81?\nAnswer: 9347.6524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 11417 = -w, 3*w - 4*v - 7781 - 26489 = 0. Differentiate 57 - 23*r**3 - 38*r**3 + w*r - 11422*r with respect to r.\nAnswer: -183*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 8) in base 13?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.8 + -2.8. What is the closest to 1\/3 in -5, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*q + 230 = 3*z, -2*q = 5*z - 296. Suppose v + 3*v = z. Solve v + 10 = 5*b + m, -3*b - 5*m + 15 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -11. Let i(a) = -a + 6. Let d be i(m). Let g(w) = 4*w - 6*w + d*w - 4*w**2. Let b(v) = v. Determine g(b(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + 1.1. Let n = 6.9 - 87.9. Let w = n + 86. Sort 0, w, p.\nAnswer: 0, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/8 (b) 3\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 382088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 265481?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 13575420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -10*i + 11*i. Suppose 4*l + 3*o = 33, -3*o - 64 = -3*l - i. Let r(f) = -f**2 + 10*f + 32. Calculate the least common multiple of 48 and r(l).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from liyyyily?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - r - 6. Is r less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231052 (base 7) to base 16.\nAnswer: -a0ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/7 + 92*j**2\/7 - 200*j + 1008.\nAnswer: -2*(j - 18)*(j - 14)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001655901 to 7 dps.\nAnswer: -0.0001656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*a - 48, -4*a + 5*x = -6*a + 24. Let c be 3*1 + (-2 - -2). Let v be 2 + 1 + -1 + 1. Solve -v*n = -c + a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 5. What is the smallest common multiple of a(-3) and 3\/1 + 20\/((-380)\/(-19))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2083539, 2083649, 2083769, 2083905, 2084063?\nAnswer: 2084249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/19 + 29\/95. Let u = 0.08 + -0.38. Let y = 1.3 + u. Which is the nearest to y? (a) 5 (b) r (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1273, -2558, -3843, -5128?\nAnswer: -6413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 k, and 1 s when four letters picked without replacement from kkyyyyyskkyyk.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -b + 14. Find the third derivative of -b*d**3 + 6*d**4 + 12*d**3 + 10*d**3 + 7*d**2 wrt d.\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -715799 divided by -269.\nAnswer: 715799\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 + 2*n + 4. Let p be l(2). Suppose -4*g + 17 = -5*v + 49, 2*v + 2*g - 2 = p. Suppose v*t - 8 = 0, -4*x + 306 = 2*t + 82. Does 20 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -550371*y**4 - 2*y**2 + 5*y - 69515 wrt y?\nAnswer: -13208904*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -21671067 (base 8) to base 11\nAnswer: -2708972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30155182303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36.6 + 37.147. Let o = a + -1.547. What is the fourth smallest value in o, -0.2, -3, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(9 + (-46)\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21239946 divided by 10619973.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 895*n + 22372. Give q(-25).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11.5 and -56331.8.\nAnswer: -56343.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/4)*q*q*q**(-4\/11)*q)\/(q**(-3))**(-3\/37) assuming q is positive.\nAnswer: q**(5931\/1628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*i = 202*i + 3487932. What are the prime factors of i?\nAnswer: 2, 3, 13841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4068429940.\nAnswer: 2, 5, 203421497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-530)\/(-1855))\/((-36)\/14)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2 - 12666*c + 12668 = 0. What is c?\nAnswer: -6334, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*((-14)\/20)\/7. Let q(p) = -2*p**3 + 20*p**2 - 18*p - 1. Let l be q(9). Sort 6\/19, d, l in descending order.\nAnswer: 6\/19, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318942?\nAnswer: 2, 3, 13, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(18) - sqrt(72)*-6.\nAnswer: -5 + 39*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -834 + 11679\/14. Find the common denominator of q and 23\/63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*n + 6 = 0. Suppose -55 = -2*s - t + 41, -n*t + 190 = 4*s. What is the remainder when s is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 48427*t - 7. Let v be l(1). Round v to the nearest one thousand.\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22958 + -22918. Let s(f) = f**3 - f**2 + f + 36. Calculate the smallest common multiple of s(0) and w.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 2. Let a be (0*3\/6)\/1. Let q be m(a). Which is smaller: 4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**2 - 27*j + 16*j - 4*j + 5*j**3 - 99*j.\nAnswer: 5*j**3 - 8*j**2 - 114*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 18*n - 478. What is f(27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/45220 and 85\/14636.\nAnswer: 165459980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q - 4*q - 3*q**2 - q + 1 - q**3. Calculate the lowest common multiple of (5\/5)\/(2\/8) and w(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 75.8, -0.117 in increasing order.\nAnswer: -0.117, 55, 75.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 15. Let x(k) = k - 17. Let u(h) = 7*a(h) - 6*x(h). Let c(j) = j**3 - 2*j - 1. Let i = -2 + 4. Let b be c(i). Determine u(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 7:20 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c - 6. Let o be k(-6). Let r(y) = -4*y**3 + 4*y**2 - 3*y - 8. Let f(q) = 5*q**3 - 3*q**2 + 2*q + 9. Let n(p) = -3*f(p) - 4*r(p). What is n(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41015118 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*b + t, 2*t = -3*b + 3*t - 6. Let g be (6\/(-7) + 1)\/b. Is g bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31 and -564.\nAnswer: 17484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 6*q - 4. Let l be t(7). Suppose 3*z - 2*z + 5*b = 11, -17 = -l*z + b. Suppose -4*f = -z*f + 3*p + 32, 9 = f - 5*p. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3696)\/11)\/24*(-18)\/(-21)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 3:11 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmg.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1023)\/(-180)*4\/(-3). Let g = l + 70\/9. Which is the biggest value? (a) g (b) -2 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 3*s - 5, w = 3*s + 2 - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 1377?\nAnswer: -1377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u = -20*u - 27 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -36a0 (base 13) to base 6\nAnswer: -55451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f + 9*f = 115. Let b(m) = -14*m**2 + 32*m. Let r(q) = 12*q**2 - 33*q + 1. Let w(z) = f*b(z) + 6*r(z). What is the first derivative of w(p) wrt p?\nAnswer: 4*p - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**2 + 61. Let d(s) = -5*s**2 - 8. Determine d(p(j)).\nAnswer: -125*j**4 - 3050*j**2 - 18613","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -222*u + 1961. What is the remainder when w(8) is divided by 52?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1986 is divided by 198?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.95? (a) -2\/7 (b) 6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24413819 to the power of 1\/2, to the nearest integer?\nAnswer: 4941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -53842462557 and 150.\nAnswer: -53842462407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1928 - 1318. Suppose -3*c + 5*c - q = 0. Suppose 125 - c = -6*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6931*x + 9026*x - 12625*x as m + l*x and give l.\nAnswer: 3332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, w: 4, h: 8}. What is prob of picking 3 h and 1 b?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23975466, 47950928, 71926388, 95901846?\n\"Answer: -t**2 + 23975465*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (30 - -3)*4\/12. Let y = 3\/17 + 59\/51. What is the third smallest value in t, 0.2, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 628, -1005, -4716, -10505, -18372?\nAnswer: -28317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10390 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*x = 193*x - 36432. Calculate the remainder when x is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 13255*t**2 - 807395*t + 12440145.\nAnswer: -5*(t - 2589)*(t - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g - 1481003 = -21*g. Let x = 6651003 - g. Round x to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c - c**3 + 4*c + 2*c**2 + 2 + c. Calculate the remainder when 6\/(-15) - (-54)\/10 is divided by t(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -224\/19 (c) 3\/98 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3592 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 468 = -3*l, 6*l = a + 23*l - 117. Calculate the remainder when 575 is divided by a.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2. Let l(m) be the first derivative of -7*m**3\/3 - 13. Calculate s(l(i)).\nAnswer: 147*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q**2 + 3*q + 1. Let o(w) = w**2 - w. Let k(b) = c(b) + 5*o(b). Let p be k(0). Is 2655\/7 + p + (-45)\/35 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -1\/3*n**3 + 0 + 0*n**2 + n. Let h(i) = 2*i - 51. Give h(a(z)).\nAnswer: -4*z - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -765 - -891. Let f(u) = u - u - u - 52 + w - 63. What is f(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27565864.608 - 25173421.60838. Let p = x - 2392410. Let b = 33 - p. Round b to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 2\/55 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h = -14*h + 250. Let l = h - -132. Solve 5 = 6*j - l*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(17\/3))**(-10)*((u\/(((u*u**(-2\/7)*u)\/u)\/u))\/u)\/u**(8\/9))**20 assuming u is positive.\nAnswer: u**(-72160\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0179976 - -0.01704. What is c rounded to 5 dps?\nAnswer: -0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.07388 (b) -2\/17 (c) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (14 - 26) + 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**6\/90 + m**5\/15 - 4*m**3 - 19*m. Let j(n) be the second derivative of r(n). What is z in j(z) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from qxhtg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/81*(-1)\/(-2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6889071 and 13104?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 14) in base 3?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 13*i**2 - 4. Let q be x(-13). Let l(o) = o**3 + 5*o**2 + 6*o + 6. Let u be l(q). Let f be (1\/(-2))\/(u\/(-4)). Are 1\/23 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lc when two letters picked without replacement from lplc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/(-14)*(-4)\/(-3). Suppose -3*h - 11 = a, -3*a = z*a - 4*h - 40. Let l = a - 0. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 6:28 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1074615 or -1074613?\nAnswer: -1074613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4761 + 11179. What is the thousands digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 2*v**2 - 5*v - 5. Give p(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -2*o**3\/27 + 50*o\/9 + 2695. What is t in g(t) = 0?\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011484 rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 + 2 - 1049*n**2.\nAnswer: -1049*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 10:09 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005863896 to 5 decimal places.\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/18 - (-64)\/36. Solve 0 = d*h - 0*m + m + 4, 0 = -2*h + 3*m + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (-5)\/(70\/(-34)). What is the third biggest value in -3, -4\/5, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -78.81117 and 0.5.\nAnswer: -78.31117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 3*b - 6*b. Suppose -2*u - 1 = -b. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*3*sqrt(104) + sqrt(104))*-2)\/(sqrt(88)\/(sqrt(99)\/sqrt(225))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.95 - 0.05. Let o = -0.03 - 5.97. Let k = o + 1. Which is the second biggest value? (a) 4 (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9036090.\nAnswer: 2, 3, 5, 7, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-580)\/14616*180*7\/(-8)?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1077?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 816, -1605, -4026?\nAnswer: -6447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 53928\/132 + (-24)\/44. Let j(c) = c**2 + c - 1. Let b be j(2). Suppose 0*i = -b*i + 4*p + 418, -5*i - p = -w. What are the prime factors of i?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - 7*h + 3*v + 76 = 0, 55 = -2*h + 7*v for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 150269 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 679 - 671 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 7:11 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 23*m**2 - 19*m - 45. Let z be o(24). Is ((-2)\/3)\/((-5)\/z) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47185.909994 - -47186. Let b = 0.09 - o. What is b rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 - -259. Calculate the highest common factor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*d**(2\/7))\/d*d))**25\/(d**4*d*d**(1\/7))*(d**(2\/5))**11\/(d**1\/d)**(9\/5) assuming d is positive.\nAnswer: d**(-276\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-9) + (-1628)\/(-6). Suppose 10*q - t = 8*q. Calculate the greatest common divisor of q and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 146868?\nAnswer: 2349888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-4) + (-2)\/(-4). Suppose 2 = -h*o + 4*o. Suppose -o*g = -g - 3. Solve -10 = 4*w + 5*n, 0 = -5*w - 0*w + g*n - 31 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5545 - 7?\nAnswer: 5539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -7a?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 14*y**2 - 5. Let m = -229 + 234. Let d(b) = -77*b**2 + 28. Determine m*d(r) + 28*p(r).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 9\/6)*2. Suppose -x*z + 5*y = -28, -5*y + 8 = -z + 4*z. Find the second derivative of 5*a**2 + 3*a - z*a**2 - 2*a wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -4*l, -4*x = 5*l - l + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**3 - 400*f**2 + 393*f + 298. Calculate i(99).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 702, 88, -5 in increasing order.\nAnswer: -5, 88, 702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5665.425299 rounded to the nearest 10?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**8\/1512 + 46*v**7\/945 + 673*v**6\/540 + 1304*v**5\/135 - 1856*v**4\/27 + 4096*v**3\/27 - v**2 + 44*v. Factor n(p).\nAnswer: 2*(p - 1)**2*(p + 16)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109014.\nAnswer: 2, 3, 18169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*u**2 + 2 + (-6 - 3 + 4)*(29*u**2 - 10 + 10) - 2*u**2 + 3*u**2 + u**2 to the form h*u**2 + q*u + m and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 222\/139 + 68203\/3336. Let a = -2\/2475 - -111379\/4950. Let p = a - x. What is the common denominator of 101\/8 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0833520837 to 4 decimal places.\nAnswer: -0.0834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4917 and 4422?\nAnswer: 658878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 131.39 - -0.61. Let s = l - 93. Let o = -39.38 + s. Round o to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3465 (base 7) in base 10?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 c when two letters picked without replacement from bccppccbcccpppccppp.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 26, 42, 60, 80?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*q - 64*q - 89*q - 31*q + 21*q**2.\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22.54 + 22. Let l = a + 0.04. What is the third smallest value in -2, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 9 = -14. Suppose -t*c - 2*g + 429 = 0, -c + 89 + 0 = 2*g. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/25111 and -51\/11.\nAnswer: 276221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19860816.\nAnswer: 2, 3, 59, 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 7. Suppose -2*t + 5*t = 30. Suppose i - 4*a + 20 = -2*i, 0 = -3*i + 2*a - t. What is the units digit of v(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + g + 4. Let k be (-51)\/(-15) + 4\/(-10). Suppose k*r + 6 = 6*r. Let a(p) = p**2 - p - 1. What is r*a(b) + h(b)?\nAnswer: b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((2 + (-96)\/28)*-7)\/2. Suppose 3*d - 37 = k*c, -3*d - 3*c + 2 = -c. Suppose d*b - 2*u = b + 391, 4*u = -4*b + 548. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and 2?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.3, -61607, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7\/135 - 2911\/270. Let n be ((-223)\/(-9))\/((-20)\/(-6495)). Let y = n - 8040. Find the common denominator of y and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.14 and 2852788908.\nAnswer: 2852788908.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/9 + 36434076*x - 1493372130720498.\nAnswer: -2*(x - 81976671)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 306 - 274. Let c = 23 - i. Which is bigger: -11 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 3880 = 3879, -15 = 3*j + 18*z for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330732 and 1422.\nAnswer: 26127828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*o)*(0*o**3 + 3*o**3 - 9*o**3) - 52*o + 27*o + 26*o + 5*o**4.\nAnswer: 23*o**4 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -29*b**2 - 10*b - 40. Let n be z(-3). Let c = -265 - n. Let x be 12\/(-36) + 13\/3. Solve c*d - 8 = x*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 5:49 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110317503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24 + 33?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/(c*c**(2\/35)*c)))**(3\/2)*(c*c*c*((c\/(c\/c**(4\/5)))\/c)\/c)\/c**(2\/7) assuming c is positive.\nAnswer: c**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 9 = -2*n, 3*n - 15 = -23*r + 28*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75537 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34934, -34936, -34938?\nAnswer: -34940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 4*r + 37 + 73, 85 = 5*y + r. Let d(s) = 18*s + y*s + 9*s - 49*s. Let q(w) be the third derivative of -w**5\/30 + w**2. Calculate q(d(c)).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*g + g + 3*g)*(2*g + 2*g - 3*g) - 31*g**2 + 13*g**2 - 270*g**2)*(6*g - 4*g + 4*g).\nAnswer: -1722*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -976524 + 2757620. Suppose t = -t + h. Suppose -3*w = -t - 1599452. What is w rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4054 + -4011. What is the greatest common factor of u and 4601?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -4768461, -3, -2 in decreasing order.\nAnswer: 1, -2, -3, -5, -4768461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146289, -146285, -146279, -146271?\nAnswer: -146261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/20)\/(24\/80). Solve -3*p - 3*a = -6, -2*p + h*p - 5*a = 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 484 and 339923540?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*p + 337 = -219 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -42, -39, -14, 39, 126, 253?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/4? (a) 111 (b) -1\/4 (c) 2.6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 994.9*-3\nAnswer: -2984.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-86)\/(-1))\/(2\/(-12)*-6) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 224*m - 233*m + 81 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 92947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p = -30*p - 60 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-42)\/(-4)))\/(6\/(-9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21814 - 1.8.\nAnswer: 21812.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15565997 is divided by 122?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 11 - (1 + (6 - 10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 332*k**5 - 552*k**2.\nAnswer: 19920*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (16 - (-168 + 80)).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 2 - (1 - 4). Is r at most as big as -1\/99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183 divided by 253.\nAnswer: -183\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 137*g**2*q*u**2 - 3*g*q*u**2 + 45*g*q wrt g?\nAnswer: 274*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 5*q + 4, 0 = -4*q - 2*s - 17342 + 17350 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10043 + -5 - (-8 - -8 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 246, -2\/3, -3, 0.4, 0.2 in ascending order.\nAnswer: -3, -2\/3, 0.1, 0.2, 0.4, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 167794+-310173381\nAnswer: -310005587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-4))**10)**(3\/19) assuming u is positive.\nAnswer: u**(150\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 483766631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/3 + 1 + 3. Let i(f) = f**2 + 2*f - 5. Let a be i(-4). Suppose -a*d + 8*d - 108 = u*p, p = 2*d - 45. Calculate the remainder when d is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11, -45, -79, -113?\n\"Answer: -34*m + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -37110, -148241, -333398, -592587, -925814, -1333085?\n\"Answer: -l**3 - 37007*l**2 - 103*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than 4112666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 140*f**2 - 1532*f + 385. Determine y(-128).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 580*v**2*x - 9691*v**2 - v*x**2 + 3*x wrt x.\nAnswer: 580*v**2 - 2*v*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*11*18734\/3553?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7026*w - 2 + 10923*w + 12183*w - 3234*w)*(1 - 1 - 2*w)*(-3*w**2 + 4*w**2 - 4*w**2).\nAnswer: 161388*w**4 - 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10.2, -3\/5, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*u**3 - 57*u**3 + 12*u + 7*u + 104*u**3.\nAnswer: -3*u**3 + 19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1576 - -1588. Solve 0 = c*z - 28*z + 32 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13608 = -191*n + 677*n for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95532 (base 11) to base 13.\nAnswer: 4b3b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -15883 - 166577 = 234*l - 254*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2624391?\nAnswer: 3, 7, 11, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u - 26. Let m be x(-12). Let c be m + -2 - (-19)\/5. Which is smaller: c or 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**2 - 6*i. Let r(w) = w**2 - w. Let s be r(2). Let a(z) = z**2 - z. Let t(q) = s*o(q) - 10*a(q). Find the second derivative of t(v) wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/336 and -127\/462?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 less than -19726713?\nAnswer: -19726712.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60a8 (base 11) to base 15.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {e: 1, q: 2, i: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35706 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 98320 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 890, 1934, 3706, 6572, 10898, 17050, 25394?\n\"Answer: 61*l**3 - 2*l**2 + 623*l + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, 5, 0, -29 in decreasing order.\nAnswer: 80, 5, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*n + 12. Suppose -7*o + 2*o + 169 = -4*w, n*o + w = 164. Suppose -30*z - 2217 = -o*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 9*p**3 - 3*p + 1. Suppose 2*n + k = 4, 2*n + k = -4*k + 12. Let x be y(n). Let i(j) = -6*j + 2 - 4 + 2*j**3 - 3*j**3 + 8*j**2. Calculate i(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x + 0*x - 4*x + (2 - 3 - 1)*(x + 4*x - 3*x) - 2*x + 2*x + x + 3*x - 3*x + 2*x + 389188 - 13*x - 389508 + 5*x to the form s*x + t and give t.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 = 6. Let w(q) = -q - g*q + 3*q. Let z(h) = -3*h**2. Determine z(w(b)).\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -s - 75, 35 = 2*u + s + 12. Solve -4*g + 8 = -8*g - 3*k, 2*g + u = -4*k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000023517 to six decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**4\/6 + 3843*r**2. Let h(s) = -887*s. Give h(y(x)).\nAnswer: -3548*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v. Let q be u(3). Suppose -2*l = 2*l - q. Suppose 5*f - x + 20 = 0, f + l*f - x = -16. Sort -1, 0, f.\nAnswer: f, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -516 + 547. Calculate the greatest common factor of r and 1147.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.03995 millennia to centuries.\nAnswer: 360.3995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -8\/131850131 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n + 4*n - 2*n**2. Let r(j) = -47 - 6*j + 47. Calculate r(g(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47532 and 51?\nAnswer: 47532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11147 divided by 157?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, n: 1, s: 1, x: 1, p: 2, b: 1}. What is prob of picking 1 s and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.34 - -0.24. Let d = 1.3 + m. Let g = 5 - 7. Which is the nearest to 0.2? (a) g (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**8\/1680 + a**5\/120 + 7*a**4\/12 + 5*a. Let v(n) be the third derivative of d(n). What is the derivative of v(s) wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 389\/25 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 66*l - 127*l + 36 - 13 + 56*l - 1.\nAnswer: -5*l + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 2*b**2 - 4*b - 3. Let n be v(-2). Suppose 5*h - 16 = 4*f, 5*f - 2*f + 12 = 0. Sort n, h, 32.\nAnswer: h, n, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -f + 8, 0 = -3*w + 4*w + 1. Which is smaller: f or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3288 and 936669.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/148 and 17\/1196.\nAnswer: 44252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 3*m - m + 0*m - m - 4*m - 5*m - 2*m + 2*m + (3 - 3 - 1)*(-m + m - m) - 3*m + 6*m - 2*m)*(0*m**3 + 4*m - m - 2*m**3).\nAnswer: 18*m**4 - 27*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + sqrt(99)*2 + sqrt(99) + sqrt(99))*4)\/sqrt(9).\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -166, -335, -504, -673, -842, -1011?\n\"Answer: -169*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024045?\nAnswer: 5, 11, 43, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 8:15 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4497c (base 15) to base 12.\nAnswer: a62a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x**(3\/10)\/x*x*x)\/x)\/(x\/((x*(x\/(x\/x**6))\/x*x)\/x))*((x\/(x\/((x*x\/(x**(-18)*x*x))\/x))*x)\/x)**(-33) assuming x is positive.\nAnswer: x**(-5537\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**4*k)\/k*k**3*k*k*(k**(-7)\/k)\/(k**2*k))**16)**(2\/21) assuming k is positive.\nAnswer: k**(-32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4399838 - -84?\nAnswer: 4399922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x - 3*x + 6*x. Let a be k(-3). What is the units digit of 1*(a\/(-1) - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 a, and 1 k when four letters picked without replacement from {a: 2, g: 1, k: 1, n: 7, e: 5, i: 1}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -613 - 31*b + 613 + 28*b + 41*b**3 + 50*b**2.\nAnswer: 41*b**3 + 50*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210 + -10?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 20 = 0, 3*i - 10 = -3*z - 1. Suppose 0 = b + s, -z*s + 3*s = -b. Solve b = -d - 2*d + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**4\/4 - 4*o**3\/3 + o**2\/2 - 4*o + 1. Let l = -38 + 42. What is a(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 + 43*v + 14. List the prime factors of t(-26).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 19*s + 42. Let n be m(-2). Let o(c) = 2*c + 82. What is the least common multiple of o(n) and 80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284267*j + 414 = 284290*j for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*o = -372, 4*w + 7*o - 2*o = 324. Suppose 46*m - w + 398 = 0. Which is the biggest value? (a) m (b) 4 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 s, 1 n, and 1 o when four letters picked without replacement from ednodxs?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64416807?\nAnswer: 3, 7, 13, 78653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + ((2 + sqrt(1331) + 0 + sqrt(1331) + -2 + (0 + sqrt(1331) - sqrt(1331)))*-6*3)**2.\nAnswer: 1724977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen fifths of a century?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*c = 6, -6*d + 2*d - 8 = 4*c. Suppose -l - 5*t + 5 + 5 = d, 4*l + 3*t - 74 = 0. Let f = l + -5. What is the remainder when 57 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -2*r - 148. Let y = -761 - -781. Calculate the remainder when r is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -63487 - 1?\nAnswer: -63488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 393945156 divided by -33?\nAnswer: -11937732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 7:55 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2\/4 - 99*z - 9801 = 0. Calculate z.\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104602983?\nAnswer: 3, 61, 571601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**7\/360 + h**5\/20 - h**4\/3 + 3*h. Let t(w) be the third derivative of q(w). Differentiate t(j) with respect to j.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12, 42, 108, 222, 396, 642, 972?\n\"Answer: 2*r**3 + 6*r**2 - 2*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39893833956 - 4.\nAnswer: 39893833952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 + -67. Let m be a\/12 + 1\/(-4). Put m, 4, 2 in descending order.\nAnswer: 4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.693 + 4.695263. What is w rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 6*x**2 - 4*x + 5. Let f be l(-5). Let c(s) = f + 0 + s + 1. Let k(h) = -3*h - 3. Calculate -2*c(q) - k(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 1\/4*q**3 + 0 - 1\/2*q**2 = 0. Calculate q.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -30. Suppose -q + i = 5. Let p = 27 - q. What is the smallest common multiple of 2 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**2 - 131764*f - 262000728 = 0.\nAnswer: -1881, 34822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4)\/20 - 0)*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 308 and 847.\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*g + 7*g + 6, 2*q - 3 = -26*g + 28*g - 7 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 751782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 56, 67, 106, 191, 340, 571?\n\"Answer: 3*u**3 - 4*u**2 + 2*u + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, 6, 92\/1937?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -75?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*d. Suppose d*q = 5*q - 265. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 3*x**2 - 4*x + 3. Let u be p(2). Let k = u + 7. Put -9, k, 4 in decreasing order.\nAnswer: 4, k, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001 + 1000001?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 9:10 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, c: 3, p: 2, o: 1, s: 3, a: 1}. Give prob of picking 1 s, 1 o, and 1 c.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-3)\/2*64\/(-48). Let w = g + -1. Which is the biggest value? (a) w (b) 11 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -24. Which is the second smallest value? (a) p (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*l + 402, 2*l + 500 = 5*v - 0*v. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -29. Let v = 31 + -48. Let q = c - v. What is the highest common factor of q and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4565944 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b + 30. Suppose -2*w = -8 - 12. Let r = w + b. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n. Let q(u) = u + 8. Let w be q(-6). Let r be m(w). Suppose -22 = -r*t - 2*y, -5 = -5*t + 4*y + y. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -77, -1 in decreasing order.\nAnswer: 2, -1, -4, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29941176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150067 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25957, -105168, -237195, -422044, -659721?\nAnswer: -950232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in 770\/17, -3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3197*d - 1459. What is the units digit of s(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 2\/3*i**3 + 0 + 20*i**2 + 1\/60*i**5 + 0*i + 11\/12*i**4. Let k be s(-22). Solve 8 = k*o - 0*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -5*k**3\/6 - k**2 + k\/2 + 5. Find v, given that j(v) = 0.\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 14. Let v(p) = 526*p + 528*p + p**2 - 1575*p + 521*p. Calculate v(f(q)).\nAnswer: q**2 + 28*q + 196","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -0.08 (c) 5 (d) -66 (e) 2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -10*o**3 + 2*o**2 - 1. Suppose -r + h = 2*r + 4, 6 = -r + 5*h. Give a(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367*x - 8302 = -374*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2209 - -0.2211817. What is d rounded to five decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.398 - 0.24343?\nAnswer: 22.15457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + u + 2886 = 3306, 10*s = u + 473 for s.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 + 286*t - 29. Let v(y) = 2*y - 5. What is i(x) - 6*v(x)?\nAnswer: 2*x**2 + 274*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 5*n**2 + 2*n - 9. Let t be l(-4). Let o be 7\/7 - (0 + t). Solve 3\/2*d + 3\/2*d**4 - 3\/2*d**o - 3\/2*d**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**5\/8 + 63*i**4\/4 - 129*i**3\/8.\nAnswer: 3*i**3*(i - 1)*(i + 43)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**9\/10584 + m**7\/1470 - m**5\/420 - 5*m**3\/3 + 1. Let y(p) be the third derivative of u(p). Factor y(i).\nAnswer: -2*i*(i - 1)**2*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2625, 5228, 7809, 10368, 12905, 15420?\nAnswer: 17913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d**2 - 16*d + 39. Let a(i) = -9*i**2 + 29*i - 78. Let m(z) = -6*a(z) - 11*t(z). Let c be m(-5). Solve -2*f + 5*f = c*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**2\/5 - 67296*p\/5 + 67299\/5 = 0.\nAnswer: -22433, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 282953110?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 85347.55cm?\nAnswer: 853475.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 - ((-7 - -3) + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((58\/8)\/((-10)\/(-8)))\/(1071\/119 - 8)?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 90\/44)\/((-15)\/(-610)). Let f = m - 13\/11. Let q = -0.13 - -0.83. Sort 1, q, f in descending order.\nAnswer: 1, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.173301 and -1.\nAnswer: 0.173301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2361881, -4, 0 in decreasing order.\nAnswer: 2361881, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*n + 94, -10 = -5*b + 3*n + 195. Suppose t + 5*s - b = 0, -s = -4 + 1. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 (base 11) in base 13?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - -14. Let l = g - 12. Suppose 5*t - 8 = 62. What is the greatest common factor of l and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.017947 - 31.935053. Round a to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78096 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 126b?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -29*w**5\/120 - 5*w**4\/6 + 8*w**3\/3 + 22. Let b(a) be the third derivative of d(a). Differentiate b(m) wrt m.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 2:53 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -7*l + 94. Let b be 932\/l - 6\/45. Suppose 0 = -2*y + b - 8. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 90 + 262 = 0. Suppose 2*a - 3*t + 11 = k, -3*a = -4*t - 112. Calculate the remainder when a is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 10 - 22. Suppose -j*s = -3*s - 1130. Suppose n + 108 = 2*y, -3*n + s = y + 3*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.028 + -7.672. What is x rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-55.\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -248350545 divided by -5\nAnswer: 49670109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/57030 and 38\/62733?\nAnswer: 627330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 752277011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {v: 11, m: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7296 divided by 6.\nAnswer: -1216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5 + 0*h**3 + 2 - 1 - h**3 - 5*h**2 - 7*h. Let t(m) = m**3 - 3. Let z be t(0). Let g be ((-1)\/(-1))\/(z\/12). Give u(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + -233\/5. What is the nearest to 1 in 1, -0.1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -3*b - 0*b. Is 29 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -15*r + 66. Let b(w) = w. Let u(h) = -12*b(h) - p(h). Let o be u(23). Suppose -o*j - j = 5*q - 11213, 2*j = 5*q + 5629. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**2\/4 + 101147235*c\/4 - 101147225\/2 = 0. Calculate c.\nAnswer: 2, 20229445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, -0.1, 664, -12, 0.4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000980593742 to 6 decimal places.\nAnswer: 0.000981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 2*f - f - 21, -4*r = 20 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57260 and 784?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1139 rounded to three dps?\nAnswer: -0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 38\/14 + 2\/7. Let f = 42 - 43. What is the common denominator of 194\/8 + f + (-6)\/t and -17\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*p**6 + 5*p**4 - 71*p**2.\nAnswer: -840*p**3 + 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 1:15 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26085 > 1591206\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2802922406.\nAnswer: 2, 43, 32592121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -13*x**4\/14 + 8*x**3\/3 + 44*x**2\/7 - 192*x\/7 - 1666. Find b, given that z(b) = 0.\nAnswer: -24\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -36522, -36551, -36596, -36663, -36758, -36887?\n\"Answer: -j**3 - 2*j**2 - 16*j - 36503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*2\/(-4) + -3. Let h be 39 - (1 + n)*1. Suppose 811*f - 788*f = 690. What is the highest common divisor of h and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/16)\/((-10521)\/(-2505))*(-14)\/(-4)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -1\/2, -1\/7, 6, 0.487, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37\/3 + -11. Let u = -2 - 3. Which is the closest to 1? (a) 3 (b) k (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -7, 2, 5, 3227, 1, -3 in ascending order.\nAnswer: -7, -3, 1, 2, 5, 8, 3227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -153564?\nAnswer: -153555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 39.3 and 15.\nAnswer: 54.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 5:51 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-36)*-124*(-255)\/10540?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 5*m. Let p be k(4). Let t(j) = -j**2 + 10*j + 92. Let d be t(-6). Let x(o) = o - 6. Let i be x(6). Sort i, d, p in increasing order.\nAnswer: d, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -28*o**2 + 1. Let a = -134 + 144. Let d = -9 + a. Calculate w(d).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 14373514?\nAnswer: 14373517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.4 times -12730?\nAnswer: 845272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 7 + 4 - 2 - 1 + (1 - 3 + 3)*(-1 + 2 + 1) + 0 - 1 + 3 + 0 + 4 - 3)*(-2 - x + 2).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 110527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431, -574, -727, -896, -1087?\nAnswer: -1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/8 of a centimeter?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.2*-44\nAnswer: -140.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 - 15*s**2 - 4*s**2 + 22254*s**3 + 23*s**2.\nAnswer: 22254*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-2)\/2*((-14 - -15) + -823*89)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(84) + sqrt(84) + -1*sqrt(84)) - -4*(-1*sqrt(84) - sqrt(84)))\/((sqrt(84)\/sqrt(7) + sqrt(12))*3*4))**2*5.\nAnswer: 35\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00051441 rounded to 5 dps?\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 - 37*n**2 + 21*n - 789. Determine x(-20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 12 - (1 + 3)) + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38540 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -21*z + 1. Let s(p) = 64*p**2 - 6*p - 6. Let y(v) = 70*v**2 - 7*v - 7. Let g(r) = -7*s(r) + 6*y(r). Give g(i(b)).\nAnswer: -12348*b**2 + 1176*b - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -12?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfffffkkffk. Give prob of sequence ff.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (-6)\/(-6) - 1. Let t be (10\/(-60))\/((-3)\/l). What is the smallest value in -10, t, -0.5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*1 + -3 + 6. Find the third derivative of -5*y**2 - 2*y**4 + 0*y**2 + y**2 - y**f wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32095581 by 3.\nAnswer: -10698527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7350 = -2996*l + 1439*l + 1207*l for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -1)*(-74)\/4. Let f(h) = h + 29. Let m be f(-7). Let x = k - m. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - b)*(-1 + 6 - 3)*(-10541*b - b**4 + 10541*b + 83*b**2).\nAnswer: 2*b**5 - 166*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 168877335043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -146 - -126. Let n be l\/(4 - 274\/68). Round n to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11483*t**2*w**3 + 353*t**2*w**2 + 5*t**2*w wrt w.\nAnswer: 68898*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 8*u**2 + 7*u - 18. Let c be m(-9). Suppose -5*j = -j + t - 155, j - 3*t - 29 = c. What is the greatest common factor of 152 and j?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*x**3 + 48*x**2 - 22*x - 12.\nAnswer: 2*(x + 3)*(3*x - 2)*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8*k + 66. Let b be y(7). Solve -6*g - b = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) -1 (c) 2\/25 (d) -36771\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*k + 81 - 81 in the form j*k + n and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 2. Let s(m) = 2*m**2 - 1. Let l(v) = 2*v**2 - 1. Determine z*l(w) + 3*s(w).\nAnswer: 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 11 (c) 1\/4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.018134753373 + -3.\nAnswer: -2.981865246627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by (-2)\/((-4)\/(-5)) + 486\/36?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.95 + -0.05. Let g = -122 + 122. Suppose g = -f - 16 + 17. What is the closest to f in 2\/21, -2\/7, r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 15, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1108204 rounded to five decimal places?\nAnswer: -0.11082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-13 + -54))\/(23 - (-133)\/(-7)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 236\/28 + 0 - 15\/35\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjvvvvp. Give prob of sequence vp.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2788858642 and 0.\nAnswer: -2788858642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 5:19 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3, 2\/23, 4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 12*p**2 - 15*p - 16. Let n be -2 + 1*(-1 + -8). Let k be a(n). Solve 5*m + k - 10 = -f, 5*m + 28 = 4*f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24, 214, 406, 600, 796?\n\"Answer: f**2 + 187*f - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -6\/11, 4\/3, -19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9544 is divided by 876.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*f - 3*f - f as k*f + r and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 + -47.5. What is the second biggest value in j, -4, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.0146, 3, -1\/3, -0.7?\nAnswer: -0.0146","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3*w - 9 = -5*d, -3*d - w + 3 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + -20 + 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, b: 11, f: 1, y: 1, j: 3, z: 1}. Give prob of picking 1 f and 1 b.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -4*t, 0 + 1 = c + 3*t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16876556 and 332?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74817819 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, -2, -4, 5, -2531 in decreasing order.\nAnswer: 5, -2, -4, -44, -2531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 732286 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1091*29\nAnswer: 31639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8507.\nAnswer: 47, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 100101010000000101011 (base 2) to base 9\nAnswer: 2260368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -29 - 1 - (589 - 673)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 4:11 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.72 - 0.28. Let v = 14.83326 + -0.83186. Let s = v + r. Round s to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k**2 - 3. Let y = -18 - -13. Let j(l) = 7*l**2 - 4. Give y*j(h) + 6*t(h).\nAnswer: h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2651 - -2913. What is the greatest common divisor of c and 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(2299) - (sqrt(2299) + -1 + sqrt(2299))))**2.\nAnswer: 66*sqrt(19) + 2308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35341291, 35341299, 35341307, 35341315?\n\"Answer: 8*q + 35341283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 7*y**2 + 7*y + 8. Let q be o(8). Let b(a) = q - 2 + a + 3*a + 1. Suppose 5*t + 1 = 11. Let h(s) = -s + 1. Determine t*h(k) + b(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881 is divided by 128?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1512)\/(-120)*((0 - -1) + 24). Suppose 0*f = 9*f - l. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 36 + 9 = 3*o, 0 = 5*i - 3*o + 15. Let a be (1 - (-5)\/(10\/i)) + 65. Suppose a = -68*b + 69*b. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2622432 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 + 6*d + 6. Let z be 9*4\/6 + -4. Suppose -4*k = -z*k - 12. Let v(o) = -o - 1. What is k*v(q) + c(q)?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 477 = 3*c + d - 3*d, 0 = 5*c + 5*d - 795. List the prime factors of c.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -5*y + 2*h, -4*h + 2*h = -2*y + 84. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 8:18 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -202 from -52223.\nAnswer: -52021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(((945\/45)\/42)\/((-6)\/3))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112752934 is divided by 1743.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -527156281004 and -0.2.\nAnswer: -527156281004.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 225.99999235 + -226. Round h to 7 dps.\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 6*f**2 - 11*f + 15. Determine p(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 4*n - 445. Let v = -64 - n. Suppose 0 = 22*k - v*k + 12. Solve 3 = -p + k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -173*b + 352. Let f be d(2). Solve -s + f = -2 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 6)*(2*x**4 + x**3 - x**3) + (1 + 1 - 4)*(0 + 0 + 2*x**4) + 2*x**4 - 5*x**4 + 0*x**4 + (-4 - 3 + 5)*(-2*x**4 - 2*x**4 + 6*x**4).\nAnswer: -7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -644, -5588, -14832, -28376, -46220, -68364?\nAnswer: -94808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpmmmmppmmmmpmmmmmm. What is prob of picking 3 m?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(8\/6)*(-20)\/15. Let w(s) = -2*s**3 - s**2 + 2*s. Let c be w(-2). Let m be ((-68)\/8)\/(a\/c). Calculate the greatest common divisor of 238 and m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 93160003 = 4*u, 16357624 = -u + 2*v - 6932374. What is u rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 7, u: 2}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = 3*m + 72. Let z = m + 77. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 3*f, 3*f + 49 = d + 57 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77373 less than 77385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39248586*j**3 + 24*j**2 - 666729*j?\nAnswer: -235491516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 376017*a**3*r + 283*r + 10 wrt a?\nAnswer: 1128051*a**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2 - 4*s - 3. List the prime factors of w(4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 922 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-713)\/161 + (-17)\/(-7) + -2. Find the common denominator of (3\/m*-194)\/(-6) and -2\/139.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/41104400 and -23\/113037100?\nAnswer: 452148400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 2 (c) -4 (d) 5 (e) -214.34 (f) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5694 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from {k: 2, n: 1, x: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5982633 and 810?\nAnswer: 179478990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8407.2 * 4449.\nAnswer: -37403632.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1514*b - 43470 = -1529*b. What are the prime factors of b?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/2)\/a)**(-29)*((a\/((a\/(a\/a**(2\/5))*a)\/a))\/a)**16)**(-3\/17) assuming a is positive.\nAnswer: a**(-1113\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 11:21 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2670*c - 2670*c + 169*c**3 + (-1 - 3*c**2 + 1)*(2*c + 3*c - 3*c) + c**3 + 2*c**3 - 6*c**3.\nAnswer: 160*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 11. Suppose -4*r - 25 = 2*f - 3, -36 = 3*f + 5*r. Let o = f + 29. What is the greatest common factor of o and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 7, 17, -3, 1.014 in descending order.\nAnswer: 17, 7, 1.014, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from {z: 2, y: 1, b: 1, h: 1, j: 1, o: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24\/(-6) + 2)\/(-1). Let a(k) = -k**3 - 6*k**2 + 9. Let s be a(-7). What is the tens digit of s - (r\/(-1) + -1)*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 36 = 2*t - 0*w, 2*t + w - 32 = 0. Suppose 0 = -13*b + t*b - 100. Let u = b - 23. Solve -8 = -u*n - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1960, -15, -10 in decreasing order.\nAnswer: 1960, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46849*k - 398067 wrt k.\nAnswer: -46849","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.449 + 0.405. Let q = 3 + -4. Let i = a - q. Round i to 3 dps.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (28 + -26 + 13 + (3 - -45)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 75199, 75208, 75223, 75244?\n\"Answer: 3*s**2 + 75196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12376 + 12426. Solve 45 = -f + c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = -14*u - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 69 - 38 + 8*l + 74 + 44 - 4 in the form i*l + f and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 125 - 126. Which is bigger: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*t = 36*t + 1812 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6062)\/21217*-14*(-133)\/(-4).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 872877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2441, 2765, 3311, 4079, 5069, 6281?\nAnswer: 7715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25704\/(-181764)*(-220)\/14.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 8 = -2*p, 69 = -3*q - 5*p. Is (80\/45 - 4\/q) + 152 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1 (c) -0.008\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12309 is divided by 1428.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f - 4 + 4)*(3 - 4 - 1)*(0 + 0 + 2)*(4*f - 5*f - 2*f).\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32965356 and 298.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 8*v + 48. Calculate r(-7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8725.94 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 503 + -1?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 8:14 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*a**2 - 3*a - 14*a**2 - 1 + 1 - 9*a**2.\nAnswer: 10*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/((-48)\/(-198))*(-112)\/(-6). Let z = 783 + x. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1838, 3604, 5332, 7022, 8674, 10288, 11864?\n\"Answer: -19*w**2 + 1823*w + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1427880)\/33288 - (-4)\/(-38).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -20.258.\nAnswer: -10.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/18 and 109\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16107\/8 + 2019. Let p = 2\/799 - -35941\/5593. What is the common denominator of t and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*r**2*t**3 - 99*r*t**3 - 2*t**3 - 2 wrt r?\nAnswer: 18*r*t**3 - 99*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 333210.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*o - 63*o + 12*o)*(3 - 3 - 22).\nAnswer: 2508*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/66 and 52\/93.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 5*t**2 + 4*t. What is y(-5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14592095, -29184242, -43776389, -58368536, -72960683?\nAnswer: -87552830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3 + 306858*k**2 + 4909044*k + 8590680 = 0. Calculate k.\nAnswer: -102270, -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 7*s + 4. Suppose 1 = -1246*y + 1247*y. Let b = -1 + 4. Let w(j) = 1 + b + j - 3. Give y*x(l) - 6*w(l).\nAnswer: -l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 131697 less than or equal to 1053583\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 7*b**3\/6 - 19*b - 1. Let k(j) = -3*j + 5 - 5. Determine k(v(i)).\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*s**3 + 27\/2*s + 9\/2*s**2 + 27\/2 = 0. Calculate s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 12) to base 7\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2. Let s(f) = 97*f**2 - 4. What is s(i(d))?\nAnswer: 97*d**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 11:27 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/822 and -57\/8.\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1355 - 1360. Let x(o) = -89*o. Let h(t) = 222*t. Give q*h(s) - 12*x(s).\nAnswer: -42*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 4*l - 4. Let m be c(5). Let u(b) = -4 + 92*b + m - 94*b. Calculate u(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.689 - 0.105. Let j = r + -0.44. What is j rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkskkhhkhkskhhssssk. What is prob of picking 3 k and 1 s?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23\/3 + 25\/6*d - 1\/6*d**2.\nAnswer: -(d - 23)*(d - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 195761*h**5 - 2*h**4 + 13*h**3 - 1382732*h**2 + 28*h wrt h.\nAnswer: 11745660*h**2 - 48*h + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5750 - -5812. What is the second biggest value in -0.3, -2\/23, y?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 61*i - 2. Suppose 6*v - 6 = 3*v. Let f be s(v). Suppose f = -4*p + 8*p. Calculate the highest common factor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11\/84 - 1\/28. Let b(x) = 2*x**3 + 8*x**2 + 5*x - 6. Let o be b(-3). Put o, -2, r, -0.08 in decreasing order.\nAnswer: -0.08, r, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 167 - 151. Let x = 2 + 0. Suppose -10 = x*a, -p = c - 2*a - 75. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -10. Suppose -4*t - u = -3*b - 2, b - 2 = -3*t. Suppose -3*r + 2*m + b = -15, 5*m = -r. What is the highest common divisor of 45 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -8.8.\nAnswer: -26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3606 or -3609?\nAnswer: -3606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c + 4. Let l be u(-6). Suppose 86 = o - n, -2*n - 708 = -5*o - 281. Calculate the greatest common divisor of o and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82816 - 82818. Suppose -4*m + 3*m = 4*b - 1, -4*b - 9 = -m. Sort 13, h, -4, b.\nAnswer: -4, h, b, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 5. Let y(h) = 1. Let j(a) = a**2 + 19*a + 30. Let d be j(-19). Let v be 1 + -9 - 280\/(-100)*5. What is d*y(c) + v*l(c)?\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1515\/7 - 216. Let x(y) be the first derivative of -4\/21*y**3 - 2\/7*y + q*y**2 + 2. Determine a so that x(a) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1896 is divided by 100.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*q + 56, -m - 3*m + 4*q = -208. Solve -129*w + m*w + 608 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 15*x - 5*z, -8*x + 3*z + 20 = -3*x + z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 + 27*h + 1525 - 1525 as g*h + y + u*h**2 and give g.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.75 times 0.3?\nAnswer: 0.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 10863766*t. Let z(n) = 7*n**2. Calculate z(q(p)).\nAnswer: 826149881919292*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5 - 400*x**3 + 20000*x.\nAnswer: 2*x*(x - 10)**2*(x + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3372490381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 59325 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12388*f**3*p - 274*f**3 - 4*f**2*p**2 - 2*f**2 wrt p?\nAnswer: 12388*f**3 - 8*f**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-6)*18\/(-12). Let v = p - 0. Solve -5*q = -v - 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2345 + -3211513453.\nAnswer: -3211515798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 0*o - q - 552, 3*o + 3*q + 414 = 0. Let g = o - -187. Calculate the highest common divisor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-1947)\/(-34650)*35?\nAnswer: 59\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + t + 0*t)*(13*t + 6*t + 9*t) + (1156 - 78*t - 1156)*(-3*t + 4*t + 4 - 3).\nAnswer: -50*t**2 - 78*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23324 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3617 is divided by 14*(4 + -2) + (26 - 27).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 12 - 7)*(1 - 2*b - 1)*(4*b**2 - 4*b**2 + 2*b**2).\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111790603?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 913*1310.43.\nAnswer: 1196422.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -17 - (-60 + 32 + -8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-3\/5)*(u*u*u*u\/(u*u**(-1)))\/u*u*(u*u\/u**(-10))\/u**0 assuming u is positive.\nAnswer: u**(82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -4 + (14 - 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106621793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1980 and 1188.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/4*-2)\/(12\/319416) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*g - 18*g - 6 - 205*g**3 + 88*g - g**2 - 32*g to c*g + a + x*g**2 + f*g**3 and give f.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*h - 59*h = -2915 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1669182 = 53*i + 16*i - 726222. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -84, -90, -100, -114, -132, -154, -180?\n\"Answer: -2*i**2 - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-1) - -1*4. Suppose -5*y - 1 = s*k, -8*y + 3*y = -k - 19. Let x = k - -17. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213102001 (base 4) to base 7.\nAnswer: 1240042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 5:12 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 630, 1396, 2486, 3912, 5686, 7820?\nAnswer: 10326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -20*x**3 - 2*x**2 - 6*x - 4. Let t be q(-2). Suppose 4*g + 20 = -0*g, 5*m - t = 4*g. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y**2. Let u = -23 + 34. Let b(i) = -3*i - 5*i + u*i. What is b(k(t))?\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.87876ng to kilograms.\nAnswer: 0.00000000006387876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1024 + -1019. Solve l*p - 11 + 6 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*m + 3*m - 2*m + (-3 - 20 - 93)*(m + 0*m - 2*m) + 0 + 0 - m in the form r*m + u and give r.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 23 - (-70 - -71)\/(1\/1). Solve -11 = -c - 5*z - a, 0 = -5*c + 5*z + 35 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*r + 15. Suppose -5*j + i + 80 = -3*i, -37 = -j + 5*i. Let a be j*1*(-5)\/r. Solve -2*n + 8 + 4 = -2*k, 4*k + a = -2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/9 (b) 10\/13 (c) 3\/2 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 3*g + 590, 0 = -v + 5*v - 3*g - 472. Does 14 divide (63\/(-12))\/7 - v\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 645 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, t: 1, s: 4, r: 6, q: 1}. What is prob of picking 1 e and 2 s?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 388\/2037*(-3)\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 4*c**2 - 4*c - 2. Let t be r(-2). Let k(w) = -12*w**2 + 9*w - 13. Let x(y) = -2*y**2 - y**2 - 2661242 + 2*y + 2661239. Give t*k(g) + 9*x(g).\nAnswer: -3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/35)\/(2\/40). Let x be (-6)\/(2\/f + (-33)\/12). Solve -2*s + 2*z + 6 = 0, 0*s = -5*s - x*z + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53.4 - -12.4. Let q = b - -42. What is the closest to q in 3, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21646, 86530, 194666, 346048, 540670?\n\"Answer: -v**3 + 21632*v**2 - 5*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-497)\/28826)\/((-5)\/13630)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*r)*(-4 + 3 + 0)*(-6*r**3 - 2*r + 2*r)*(r + r - 5*r)*(2 + 3 + 4)*(-2 + 3 + 1).\nAnswer: 648*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -4. Suppose k - 3*y = 14, 3*k - m*y = 5 + 12. Is 5 a factor of 16\/3 + k\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.51 (b) 2 (c) -2\/35 (d) 41 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**2. Let v(c) = -5*c + 5*c + 5*c**2 - 3*c**2. Give r(v(l)).\nAnswer: 24*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**3*n**3*z - 3*b**3*n**2 - 3*b**3*n - 2*b*n**2*z + 30*b - 93*n**3*z wrt n?\nAnswer: 36*b**3*z - 558*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5086, -11202, -17318, -23434, -29550, -35666?\n\"Answer: -6116*x + 1030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 2*i + 115. List the prime factors of o(0).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**4\/4 - 156*r**3 - 919*r**2\/2 - 3182. What is the second derivative of k(o) wrt o?\nAnswer: 6*o - 936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.072 and 1611.4316.\nAnswer: 1611.5036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*t**2 - 77*t**2 - 81*t**2 - 51*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70336 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-20)*46\/69\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128 and 8?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {v: 15, b: 5}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 30*t. Let o(q) = 9*q**2. Calculate o(u(g)).\nAnswer: 8100*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24129.63 centuries to months.\nAnswer: 28955556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/7, 1.6, 18, -4.4, 4?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**5\/70 - 47*w**4\/21 - 253*w - 3. Let b(i) = 0. Calculate i.\nAnswer: -94, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6470, -0.7, 27 in increasing order.\nAnswer: -6470, -0.7, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5\/3 + 89*j**4\/3 - 459*j**3 + 3271*j**2\/3 + 1378*j\/3 - 1120 = 0. What is j?\nAnswer: -1, 1, 3, 16, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f - 4. Let j be x(3). Let l = 4 - j. What is the biggest value in 0.5, 4, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 9*n**2 - 10*n + 14. Let h be r(10). Let t(c) = 12*c - 2 - h*c + 2. Let x(p) be the first derivative of -p**2\/2 - 1. What is x(t(m))?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212 (base 11) to base 12.\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/15, 2\/5, -5621, 0.3, -3, 9 in ascending order.\nAnswer: -5621, -3, 1\/15, 0.3, 2\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**4\/4 - x**3\/3 - x**2 - 2. Suppose j(h) = 0. What is h?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133551 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: Suppose -11 = -c + 2*c + 3*m, c + 2*m = -7. Let f(y) = y**2 + 15*y - 1. Let i be f(-15). Let q = c - i. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - -1) + -4 + (27 - 1). Let q be 1 - 0 - (1034\/55 - a). Factor 0*b + 1\/5*b**2 - q.\nAnswer: (b - 1)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 67, 68, 69?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 119*c**2*u**3 + 2*c**2*u**2 + c**2*u - 20*u wrt u?\nAnswer: 714*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -8) + (-20 - -16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -56 and -1512634?\nAnswer: 1512578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554039374?\nAnswer: 2, 7, 29, 383, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 1. Suppose 33*c - 41*c = -80. Suppose c = -5*o - 5, -2*q = o - 3. Calculate w(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(24)\/sqrt(4))\/(sqrt(15)\/(sqrt(10)\/sqrt(2)) + sqrt(3) - sqrt(3)))**2 - ((sqrt(128) + 0)*-6 + -5).\nAnswer: 23 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 4*v**2 - 6*v - 9. Let q be p(-2). Which is the closest to 0.1? (a) q (b) 1\/4 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-18) - 10\/(-3). Let y be 171\/(-33) + (-4)\/(-22). Put p, y, 1 in descending order.\nAnswer: p, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l - 2*l)*(-4 + 1 + 0) + (-4 - 1 + 3)*(-1 + 1 - 2*l).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 3. Let k = 24 - 21. Suppose -l = -k*l - 8. Is q(l) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(6*sqrt(147)).\nAnswer: sqrt(11)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**6*o)\/(o\/o**1))**(1\/2) assuming o is positive.\nAnswer: o**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 139 - -129. Suppose 4*d - 5*t - r = 105, -d + 62 = 5*t. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39897)\/682*4\/18.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 561540361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1187515?\nAnswer: 5, 7, 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/5))**4*(g\/(g**(-3\/4)\/g*g))\/g**(-1\/2))**40 assuming g is positive.\nAnswer: g**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*g + 189*g = -4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5, 4, 15, 28, 43?\n\"Answer: v**2 + 6*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 26 = -22. Suppose -i + t*i + 2*s = 22, -8 = -4*s. Solve 10 = w - i*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 0 + 1\/3*n**3 - 1\/24*n**4 + 0*n + 4*n**2. Calculate c(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 82 = 5*i + 57, -3*u = 3*i + 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*h)*(3 - 3 - 2*h) + (2*h - h - 2*h + (-h - 4*h + 3*h)*(0 + 3 - 5) + h - 84*h - 101*h)*(-2 - 2*h + 2) as m*h**2 + i + x*h and give m.\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -4\/5, -2, -1\/3 in ascending order.\nAnswer: -2, -4\/5, -1\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.033, 3\/8, -324, -2, -0.5?\nAnswer: -324","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 522345985 to the power of 1\/3, to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.2243691 rounded to two dps?\nAnswer: -75.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a gram in milligrams?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 135760949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + 9*o**2 - 5*o + 3. Let p be b(2). Suppose -6*m + p = 9. Solve -5*j - m = -1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z + 10 = -26*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 7*d**4 + 3716*d**3 - 538*d**2 - 3716*d + 531 = 0.\nAnswer: -531, -1, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 89*z**2 + 203*z - 20. Determine m(-5).\nAnswer: 1190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**3\/3 + 9*n**2\/2 - 10*n + 2. Is 2 a factor of j(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. Suppose d = 4*m - 21. Suppose -4*j = 2*b - 16, -j = -b - 6*j + 14. What is the lowest common multiple of b and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12300 and 196?\nAnswer: 602700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 + 9 = -47*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-12) - 3\/(-24)*14. What is x in 4*x**5 - 24*x + 4*x + 8*x - 24*x**3 - 32*x**f = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/22, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 20 + 2 = 0. Let p(y) = y**2 - 23*y + 2. Let q be p(29). Let u = -186 + q. Is u greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - -10. Let n(q) = 365*q**3 + q**2 + 2*q. Let i be n(-1). Let a = 558 + i. Calculate the greatest common factor of u and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**5 - 123144969*o**3 - 27597306*o**2 - 6 wrt o?\nAnswer: 120*o**2 - 738869814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.088 - -5783.3.\nAnswer: 5783.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 5*f**2 + 4. Let z be g(-5). Let n(w) = -4*w - 4. Let m be n(-7). Factor -3*j**3 + 0*j**3 + m*j**2 - 14*j**3 + z*j**4 - 13*j + 2.\nAnswer: (j - 2)*(j - 1)**2*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s**1\/s)\/s)\/s**(2\/9))\/(s**(-4)*s**(2\/9)) assuming s is positive.\nAnswer: s**(41\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + ((sqrt(612) - sqrt(612)*-1*-5) + -5)**2.\nAnswer: 240*sqrt(17) + 9817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 280\/(-1260) + 1512238\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*w - a - 211, -140 = 3*w - 2*a. Let c = -29 - w. Find the first derivative of -27*d + c*d - 20 + 8 wrt d.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/2))\/(s*s\/(s*s*(s*(s\/s**(-8))\/s)\/s))*s**3*(s**5*s)\/s*s assuming s is positive.\nAnswer: s**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23065 - 13?\nAnswer: -23111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3545*l**4 - 5981*l**2*m**2 - l*m**2 + 3*l*m + l - 56795*m**2 - m wrt l.\nAnswer: -42540*l**2 - 11962*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20989, 45120, 69251, 93382?\n\"Answer: 24131*u - 3142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 42132?\nAnswer: 42142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + sqrt(396) + sqrt(396)*2)**2.\nAnswer: -72*sqrt(11) + 3568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1116 + 2*q + 9*q - 1116.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10598 is divided by 1058?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 - 11*p - 435 + 4*p**2 - 3*p**2 + 435.\nAnswer: -3*p**2 - 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/(-80))\/(4\/(-16)). Let v = q - -2\/5. Let y = -1 + 2. Which is the closest to y? (a) 5 (b) v (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 38\/8 + (-3)\/(-12). Let p(q) be the third derivative of -q**6\/120 + q**5\/10 - q**4\/12 - 5*q**3\/3 - 4204*q**2. Determine p(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51636210 to the nearest ten thousand.\nAnswer: -51640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -388*y**5 - 2924*y**3 + 4*y**2 + 2 - 4*y**2 - 366*y**5 - 1013*y + 755*y**5 wrt y?\nAnswer: 20*y**3 - 17544*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244978108?\nAnswer: 2, 61244527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -105 * 13703\nAnswer: -1438815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 92 = -8*n. Let m(v) = 6 - 4 - 30*v + 16*v + n*v + 2*v**2. Let l be m(-2). Solve -3*t + 18 = -l*x, -5*t - 5*x - 5 = -0*x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -0.16 (c) -0.4 (d) -3 (e) 334\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) -6\/11 (c) 0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (255 - 30 + 96 + 122 + 260)*(3*p - 7 + 7).\nAnswer: 2109*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3478.274 milliseconds in microseconds?\nAnswer: 3478274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + (4 - 1))\/(30\/(-30))*65\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/2 of a week?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -77 (base 13) to base 9\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - ((-43)\/(-129) - (-11)\/3). Suppose -3 - 3 = 3*s. Put x, 1, s in ascending order.\nAnswer: x, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5382565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 384989.1 tonnes?\nAnswer: 384989100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37 + o**2 - 97*o + o**3 - 119*o + 217*o + (2 - 2*o**2 - 2)*(-2*o + 1 - 1).\nAnswer: 5*o**3 + o**2 + o - 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 50.2229 millilitres?\nAnswer: 0.0502229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 3, 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8508 and 306.\nAnswer: 433908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/((-4)\/((-12)\/(-21)))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -354360 - 2?\nAnswer: -354362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4248*j - 2430. Let t(f) = -4246*f + 2431. Let n(v) = -6*l(v) - 7*t(v). What is the first derivative of n(r) wrt r?\nAnswer: 4234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 810091.8 centuries to years.\nAnswer: 81009180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (5 - 2))*7. Which is greater: l or -11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 28 = 3*s + 12, 4*s - 5*m - 26 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 139.49484 times 0.9\nAnswer: 125.545356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -459, -3232, -10375, -23952, -46027, -78664?\n\"Answer: -344*p**3 - 121*p**2 - 2*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)*b**(-1\/2))\/(b*b**9*(((b**(-1\/8)*b)\/b)\/b*b)\/b) assuming b is positive.\nAnswer: b**(-123\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 28. Suppose -k*u - 4*u = 1113. Let z = u + 253. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2317 is divided by 2268.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 + -56. What is the closest to a in -4, -0.04, -1\/2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3541.\nAnswer: 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 36.72. Let u = -0.28000059 + h. Round u to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1370, -8224, -15078, -21932, -28786, -35640?\nAnswer: -42494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + y**2 - y - 2. Let p be k(0). Let x be -1*17*(-3 - p). Let i(c) = -23*c - 2. Let o be i(-6). Calculate the greatest common divisor of o and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (-6*2*sqrt(252))\/(-2*2*sqrt(81)))*-2)**2.\nAnswer: 64*sqrt(7) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -603 - -5?\nAnswer: -587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7352?\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7 - 5 - 3. Suppose -2*x = 4*w + 14, 3*x + 0*x + 11 = -w. Let l(c) = -c + 3. What is w*l(j) - 5*a(j)?\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -0*y + 12 - 32 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 152335261 and 2241.\nAnswer: 152337502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 396*h**2 - 594*h. Let r(v) = v**2 - v. Let o(d) = l(d) - 594*r(d). Let k(u) = -140 - 2*u**2 - 139 - 146 + 425. Determine o(k(g)).\nAnswer: -792*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(8\/3))**(-2\/5) assuming j is positive.\nAnswer: j**(-16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - 31. Let i be ((-30)\/t)\/(-2)*129. Suppose -5*h + 5*v = -i, 4*h - v - 27 - 145 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 99.9 + -100. Suppose w = -2*w + 9. Suppose -w*x + 4 = x. Which is the fourth smallest value? (a) x (b) s (c) -1 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a century in years?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -125 - -130. Suppose 0 = -x*n - 25, -n + 3 = 2*q + 4. Suppose -q*w = -9*w + 1589. Does 24 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + -129c66?\nAnswer: -129c71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 28. Suppose -4*l + l - 4*u = -55, 5*u = j. Let b = -314 + 405. Calculate the greatest common factor of b and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, m: 5}. What is prob of picking 2 n?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13404 at least as big as 13409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -2*p**3\/3 + 2*p**2 + 21*p - 2. Let i(a) = -2*a. What is i(t(f))?\nAnswer: 8*f - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from {f: 10, i: 2}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2188 + 66*s + 9*s + 2362.\nAnswer: 75*s + 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48865987291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14383?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374715 is divided by 92?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-63))\/((-42)\/49)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p**2 + p**3 - 3*p + 2 + 0 + 4*p. Let f = 0 - -6. Let o be y(f). Let r(i) = -9*i + 4. Let u(t) = -14*t + 6. Calculate o*r(x) - 5*u(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102 + -97. Let p be 10\/(-4)*(q - (-43)\/(-5)). Suppose 3*t + 601 = 4*a, -p*a + 6*a + 448 = -5*t. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1)\/(((-57)\/(-3))\/(-76)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76811283*h**2*k**3 - h**2*k**2 + 175*h**2 - 2*h*k**2 - 93*h*k + 17*k + 5 wrt k?\nAnswer: -460867698*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -97747 (base 14) to base 6\nAnswer: -11504123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-183)\/(-122)*-115*2\/(-3). Suppose -2*b - 2*b - 447 = 3*s, 0 = b + 4*s + l. Let d = b - -355. Calculate the remainder when d is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1415 - -2395. Let c be 0 - 3 - (9 + q). Is c\/80*(-5)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + q - 5*q)*(-4 + 4 - 4)*(-q**2 + 2*q**2 + q**2).\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 - -136. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (579\/(-15440))\/((-11)\/(121\/(-33)))?\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-710 + 3938 - 1439 + 3830 + 2*o)*(4 + 1 - 2).\nAnswer: 6*o + 16857","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 divided by 893453?\nAnswer: -152\/893453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 22*t + 32. Let s be v(23). Suppose -s*c = 2 + 7. Is 18 a factor of ((-18)\/8)\/(1*c\/104)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbv when three letters picked without replacement from {v: 4, b: 15}.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 815991227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 24*x**3 + x**2 - 6. Let r(k) = k**3 + 16*k**2 + 14*k - 12. Let p be r(-15). Let j be n(p). Suppose 2*o = -o + j. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.83 + -1.17. What is the third smallest value in -2, -0.1, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-7))\/(k*k*k**(2\/81)) assuming k is positive.\nAnswer: k**(-650\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -7) + -39 + (-17 + 41 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 559*t + 64846. Calculate k(-116).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*h**4 + 93*h + 353 wrt h.\nAnswer: 32*h**3 + 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/4 - 16*r + 320.\nAnswer: -(r - 16)*(r + 80)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**3 + 5*h**2 + 10*h + 2. Let y be u(-4). Let t = -244 + y. Calculate the remainder when t is divided by 5\/(5\/14) + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (225500\/5125)\/(3\/(6\/(-4)))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16 - 19 - (70\/(-168)*-42)\/(20\/96)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1183 - 74*n**2 + 1183 to the form b*n**2 + o + h*n and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + d**4 - 8*d**2 + 2*d**3 + 9*d**2 - 4*d**4 in the form p + x*d**3 + s*d + f*d**4 + b*d**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*-40.9015\nAnswer: 36.81135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*t - 838 - 7*t - 331 - 62*t.\nAnswer: -143*t - 1169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4949538 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 c(k) be the third derivative of -k**5\/30 - k**4\/8 + k**3\/2 - 2*k**2. Let i(x) be the first derivative of c(x). What is the first derivative of i(w) wrt w?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 8 + -6 + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 118*q**2 + 13*q - 1. Does 25 divide x(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8792518630 to the nearest one million.\nAnswer: -8793000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 2\/5 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -1210?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05029 - -1217.94029. Let t = g + -1223. Let f = -0.11 - t. What is the second smallest value in f, 1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.038 - 15.1. Let a = 0.162 + s. Let v = 10 + -31. Which is bigger: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 2 - (-2 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 746387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 12 + 14)*(0 - 1 + 2)*(1 - 2 - 3)*(-5*n + 3*n + 0*n).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.361 - 33.361. Which is the second biggest value? (a) -5\/4 (b) -2\/21 (c) 2\/23 (d) p (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - l**2 + l + 11. Let x be q(0). Calculate the highest common divisor of 121 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 333 + -285. Calculate the greatest common divisor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 74?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18238 - 9096. What is the highest common factor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -79 and -0.3486?\nAnswer: 78.6514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 - 62. Let d = -118 - s. Is ((-2)\/d)\/((78\/(-5028))\/(-13)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 10*v - 260. Let i be h(25). Put -33, i, 2 in descending order.\nAnswer: 2, i, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24875960183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmmxxkmmm. Give prob of picking 1 m, 1 v, and 2 x.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1452 - 1306. Which is smaller: d or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 10, -134, 168.3 in ascending order.\nAnswer: -134, 4, 10, 168.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**3 - 3*i**2 + 4. Let h(r) = -13*r**3 + 13*r**2 - 17. Determine -9*g(x) - 2*h(x).\nAnswer: -x**3 + x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 464 = -2*n - 148, -6*n = -2*w - 948. What is the remainder when n is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 957 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6991?\nAnswer: 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/2))**(7\/6) assuming n is positive.\nAnswer: n**(35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, -3\/5, -0.13, 6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*s**5 + 14*s**4 + 2*s**2 + 89?\nAnswer: 960*s**2 + 336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1365 (base 15) to base 10\nAnswer: 4145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 2. Let n = 646\/7 - 92. Which is the closest to n? (a) p (b) 4 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -531 + -542a9a?\nAnswer: -54340b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-82460)\/62)\/70)\/(1\/(-1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2050*j**5 + 955*j - 2?\nAnswer: 41000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 3*n - 48 + 0 = 0, 8 = 2*s + 5*n. Solve 11 = 4*g - c, -4 + 36 = 4*g - s*c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = j - 4*i, -23 = 4*i - 11. Let o(u) = u**3 + 16*u**2 - 2*u - 85. Is o(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 216 = 22*w. Find the common denominator of -97\/14 and 2\/w*(-153)\/(-68).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16\/45 - -1717\/360. What is the common denominator of t and -139\/90?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 775837492?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w**4\/5 + 24*w**3\/5 + 252*w**2\/5 - 264*w + 210 = 0. What is w?\nAnswer: -7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*g. Suppose -3 = -k - g. Suppose -4*l - 204012 = 3*m, -k*m = m - 3*l + 271991. What is m rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t + t + 5*t + (0*t - t - 3*t)*(13 - 5 + 0) + 1 - 1 + 2*t.\nAnswer: -29*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-11)\/v)\/v**(2\/5))**41)**8 assuming v is positive.\nAnswer: v**(-18696\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(7\/(-50) + 20\/100). Let l = p + -23. What is the highest common factor of 36 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36831*f**2 + 1716*f**2 + 7036*f**2.\nAnswer: 45583*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 - 15*c**2 + 7*c - 6. Calculate p(8).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 523410044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 43*c + 8. What is k(-43)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12)\/(48\/21748)*-1?\nAnswer: 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y - 6. Suppose 2*s = -5*i - 10, 0*s + s - 21 = 4*i. Calculate the remainder when k(s) is divided by ((-12)\/(-10))\/((-8)\/(-20)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 65, 89, 107, 119?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -1\/3*p**5 + 0*p + 2\/3*p**4 + 0 + 20\/3*p**3 + 8*p**2 = 0.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (7 + -18 + 12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 493 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 14*h**2 + 0*h + 0*h**5 + 0 - 1\/40*h**6 + 0*h**3 + 7\/24*h**4. What is the second derivative of g(f) wrt f?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3831b3 - 5?\nAnswer: -3831b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19, 43, 93, 175, 295?\n\"Answer: a**3 + 7*a**2 - 4*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 4:30 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12853\/6 + 2134. What is the common denominator of h and (82\/(-4))\/((-3306)\/2204)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3.97. Let s = -0.37 - f. Let p = 43 + -171\/4. What is the closest to -0.1 in p, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10818 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 1\/5*b**4 - 2\/5*b**2 + 6\/5*b + 2\/25*b**5 - 8\/15*b**3 - 5. Factor n(v).\nAnswer: 2*(v - 1)**2*(v + 1)*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 447, 524, -75, -1686, -4645, -9288?\n\"Answer: -56*p**3 - 2*p**2 + 475*p + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -13 (c) -736.626\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*r - 2*r. Suppose a + r = 2*a. Solve 4 = l - a*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qdqqqqnqndqrqdd. Give prob of sequence dnqd.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -713, -1992, -4125, -7112, -10953, -15648, -21197?\nAnswer: -27600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nannlanlncnnnnnnnnn. What is prob of picking 1 a, 1 c, and 2 l?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggbgggbbgbggbgbbbgb. Give prob of picking 1 g and 3 b.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 855, 31, 0.73 in ascending order.\nAnswer: -5, 0.73, 31, 855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/12 and 85\/4708312.\nAnswer: 14124936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 4:00 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/((-9)\/3))\/1. Let g = n - 1. Suppose -3*t = -g*t. Solve 2*m + 5 = -x, 2*m + t*m = -3*x - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 10*r**2 + 6*r + 10. What is the tens digit of w(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5317848*y**2 + 5*y + 17516.\nAnswer: -10635696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/14*(0 + (-42)\/12). Suppose -3*o - 9 = 0, -d*v + 0*o + 6 = 2*o. Which is the nearest to 0.8? (a) v (b) 1 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1950, 3, 1, 8, 5 in decreasing order.\nAnswer: 1950, 8, 5, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - -740?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t + 2 + 2*t + 2*t + 0*t. Let g(m) = -2 - m + 5*m + 1 - 3*m. Let v(f) = 6*g(f) + 2*j(f). Differentiate v(w) wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-25) - 210\/(-25)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((6*(sqrt(68) + (sqrt(68) - (sqrt(68) + -4))))**2 + -3)*6.\nAnswer: 3456*sqrt(17) + 18123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 799, 1562, 2287, 2974?\n\"Answer: -19*q**2 + 820*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kompgkc. What is prob of sequence kok?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5071 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 488241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + g**2 + 19*g - 1. Is q(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*z - 11. Let c = z + 7. Let s(n) = -n**3 + 5*n**2 + 2*n - 2. What is the units digit of s(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -42*n + 2. Let t(v) = v**2 + 8*v - 40. Let w be t(-10). Calculate the remainder when j(-2) is divided by (-10)\/w + (-129)\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71220563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5771 (base 11) in base 14?\nAnswer: -2a96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*x + 5*x = -12*x - 6900 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + -1 + (6 - 1). Is 2 + 859 + x + -8 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**3 + 2*m**2 - m + 392. What are the prime factors of b(0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23492949353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0058578 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88784207*l**6 - 5*l**2 - 1809*l + 576?\nAnswer: 10654104840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*c - 16772, 102*m - 100*m = 2. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 228381 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 8*m**2 - 8*m + 14. Let w be r(5). Calculate the remainder when (5 - w)\/(6\/(-9)) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -3\/4, -3, 8, 0.6 in increasing order.\nAnswer: -3, -3\/4, 3\/8, 0.6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from iiiibiibii?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111 - 1110011001000011?\nAnswer: -1110010111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 22 - 16. Let i = 33.3 - -7.7. Which is the third smallest value? (a) -4 (b) j (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 v when four letters picked without replacement from vekeeeebvveeiev.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**4 - 2*d**3\/3 + d**2 + 2*d + 1. Let h = 16 - 15. Let t(z) = -z**3 - z**2 + z + 1. Determine h*w(b) - 2*t(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*r + 31638 = -808*r + 74767 for r.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -292, -629, -1018, -1465, -1976, -2557, -3214?\nAnswer: -3953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**8\/240 + s**7\/168 - s**6\/40 - s**5\/24 + s**4\/12 + 5*s**3\/6 + 3*s. Let f(m) be the second derivative of a(m). Factor f(h).\nAnswer: (h - 1)*(h + 1)**2*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000877134 rounded to 7 decimal places?\nAnswer: 0.0000877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (0 - -4) + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1965 + 1970. Let u = 0.428 + -0.928. Let f = 7 - 5. What is the nearest to h in u, -0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, p: 5, t: 2}. What is prob of picking 1 u and 2 p?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.32 + 0.32. Which is the biggest value? (a) -0.4 (b) 3 (c) y (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 363 - 352. Let j = w + -8. Factor -3\/4 - 1\/4*s**j + 5\/4*s - 1\/4*s**2.\nAnswer: -(s - 1)**2*(s + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31, -37, -35, -19, 17, 79, 173, 305?\n\"Answer: k**3 - 2*k**2 - 7*k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c - 1. Let l be q(1). Let n = 5 + l. Suppose -4*z - 2*w = -70, n = -2*z + 3*w + 26 + 21. What is the remainder when 74 is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - -22. Suppose 5*o - f = 2*j, 3*o - 4*j - 35 = -3. Let c be 2 + -3 + 3 - -2. Solve c*u + o = -8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*a**2*q**2*x - 3*a**2*q*r**2*x + 2*a**2*q*x + 2*a*q**2*r**2 + 2*a + 3*q*r**2*x - r**2*x - 2 wrt a.\nAnswer: 20*q**2*x - 6*q*r**2*x + 4*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 246, 407, 564, 717?\nAnswer: 866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t**2 - 2\/7*t**4 + 12\/7*t**3 - 64\/7*t + 0 = 0. What is t?\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, -4\/7, -31, -18?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m + 0*m - 2*m - 1. Let l(x) = x**2 - 3*x + 2. Let y be l(3). What are the prime factors of p(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*i - 47, -2*i - k + 6 = -3*k. Let s be ((-4)\/3)\/(i\/(-3)). Let g be 1*11 + 0 + -8. What is the second biggest value in -1, -5, g, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 12*n**2 + 15*n + 6. What is the remainder when -1*((4 - 7) + 3) - -248 is divided by i(11)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4856796 divided by -4.\nAnswer: -1214199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1346 or 1345?\nAnswer: 1345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 32*t**2 + 575*t + 6. Calculate p(-10).\nAnswer: -2544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -140250 - -4?\nAnswer: -140242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -23.947. Let f = y + 0.033. Put -3, -1\/6, f, 1\/8 in ascending order.\nAnswer: -3, -1\/6, f, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304957 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -742 take away 1?\nAnswer: -743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3366 less than 0.0165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6952, -6952, -6974, -7030, -7132, -7292, -7522?\n\"Answer: -2*t**3 + t**2 + 11*t - 6962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 3*c - 3 = 0, -2*m + 114*c + 4 = 113*c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/35142 and -25\/35142.\nAnswer: 35142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**2 - 395. Let s(c) = -2*c + 389. Calculate u(s(p)).\nAnswer: -4*p + 778","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.5, -9056, 1139?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1416\/21 + 8\/14. Calculate the remainder when 54 is divided by s\/10 - 26\/(-130).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 12:48 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 5*i + 0*i + 0*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 24 + 988. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**7\/1680 + c**6\/360 + 11*c**5\/4 + 51*c**2. Let n(l) be the third derivative of v(l). What is n(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14428 is divided by 370?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3313\/11 - -301. Which is the nearest to -2\/3? (a) -2\/7 (b) 0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/49 and (2 - 153)*(-8 + (-7063)\/(-882))?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 11*u**2 + 229*u - 1. Let w(a) = 19*a**2 + 453*a - 1. Give -5*k(o) + 3*w(o).\nAnswer: 2*o**2 + 214*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3\/4 + 3*c**2 + 29*c\/4 + 9\/2 = 0. What is c?\nAnswer: -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46825*m*n**3 - 4*m*n**2 + m - 2*n**3 - n**2 - 2967*n wrt n?\nAnswer: -280950*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-448)\/560*25725\/210?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2101362 - 0.1.\nAnswer: 0.1101362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1238\/25 or -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -86, -58, -28, 4?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -191922226.73 to the nearest ten thousand.\nAnswer: -191920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 2, 0, 3, -7, 29 in ascending order.\nAnswer: -17, -7, 0, 2, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2257.515 minus 1188846?\nAnswer: -1191103.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - l = 2, -2*o + l + 1 + 1 = 0. Let r = 268 + -272. Let x = 1892\/11791 + -6\/907. Which is the third smallest value? (a) o (b) r (c) x (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 861 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**5 + 471*t**4 - 24573*t**3 + 424641*t**2 + 98340*t - 1706100 = 0.\nAnswer: -2, 2, 47, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0619 and -14155463.\nAnswer: -14155462.9381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -12. Suppose 0 = -5*d - k - 16, -2*k - 3 + 15 = -d. Is 15 a factor of d*i\/32*-142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - ((-2)\/5 + (-99)\/15). Suppose -6*f = -z - 18. Suppose v - f*s = -0*s + 48, -3*s = -2*v + 91. What is the remainder when v is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-30))\/((162\/(-12))\/3).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, t: 6, l: 1, q: 3, i: 1, h: 1}. Give prob of picking 1 l, 1 h, and 1 i.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 2\/9 (b) 2 (c) 2\/109 (d) -141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129855 divided by 55.\nAnswer: -2361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 740*m - 156*m + 32310 = 220*m - 354*m for m.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c - 8. Suppose -5*y + 6 = -5*a - 14, 0 = 3*y. Let w(x) = -4*x + 6. Let m(v) = a*w(v) - 3*d(v). Let h(p) = -8*p**2 - p. Give h(m(t)).\nAnswer: -8*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680554.\nAnswer: 2, 7, 48611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -5\/3*s**3 + 1 + 0*s - 3\/2*s**2. What is the second derivative of c(j) wrt j?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) 6 (c) 5 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 20*b**2 + 18*b - 21. Calculate i(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 6.9. Let t(x) = -2*x - 2. Let o be t(-3). Let z = o + -4. Which is the nearest to z? (a) 0.3 (b) s (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-2)*136\/510?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8014, 15924, 23560, 30784, 37458, 43444?\nAnswer: 48604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.05 and -0.086.\nAnswer: -0.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*(-2*(sqrt(1088) + -4) + -3)*5)**2.\nAnswer: -96800*sqrt(17) + 2734641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 5*x = -45, x - 55 = -65 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4\/9, 3\/8, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.549 - 9.5. Put 0.2, -0.5, f, -2\/11 in descending order.\nAnswer: 0.2, f, -2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00681155 rounded to 4 dps?\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (63526 + 2)*(-2)\/4. Let n = 79764 + k. What is n rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d - 3. Let w be n(0). Suppose 3*s = -2*g + 3 + 7, -47 = -5*g - 2*s. Put w, -2, g in increasing order.\nAnswer: w, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4253*z + 10818 + 240*z**2 + 6274 + 404 + 8465*z + 4*z**3.\nAnswer: 4*(z + 6)*(z + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h = 10*h - 48 - 78 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkkkkkkkkkw.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 302.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5940)\/456 - -9 - (-2 - 2))*6?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -5*v + 145. Sort 2, -4, v, -6 in increasing order.\nAnswer: -6, -4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(7\/4))**(-2\/9)\/(i\/i**(-32)*i)**(-47) assuming i is positive.\nAnswer: i**(28757\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2. Let m(z) be the second derivative of -7*z**3\/3 - 3*z**2\/2 + 46*z. Determine m(n(t)).\nAnswer: 14*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -10430?\nAnswer: -10434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 54*d + 50*d + 294, 4*s = 4*d + 636. Calculate the highest common divisor of s and 3565.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*3.7525.\nAnswer: -11.2575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x. Let m(j) = -j. Suppose -14*y + 3*y - 11 = 0. Determine y*a(q) - 3*m(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -5, -1.\nAnswer: -24, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*p - l - 19, -p - 2*l = -11. Suppose -61*m - 86 = -10*m - 443. Let b be m*(5 + (-25)\/p). Solve 4*r - b = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-22)\/((-462)\/(-63)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 g when three letters picked without replacement from rqgqrqgqkrr.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - v - 9*v = -6*v + 20, -5*g + 4*v + 60 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 8. Let p(c) = c + 20. Let x be p(-6). Let d(b) = -b**2 + b - 11*b - 20 + x*b**2 - b**3. Let k be d(12). What is g(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145562 is divided by 2464.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23308 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 831 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - 3*t**3 - t + (2*t - 2*t + t)*(-3*t**2 - t**2 + 6*t**2) + 3*t**2 - 3*t**2 + 2*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**3 - 2200*x**2 - 51921*x.\nAnswer: 12*x - 4400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 7:00 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -61958, -61959, -61960, -61961?\n\"Answer: -o - 61957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.3 (b) 3\/2 (c) -3634.4 (d) -3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k**(-2\/53)*k)*k))\/k*k*k\/((k**(2\/23)*k)\/k))**(-2\/15) assuming k is positive.\nAnswer: k**(-1524\/6095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41218 - 80135 + 7*g + 38917.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**5\/25 - h**4\/5 + h**3\/5 + 2*h**2\/5 - 4*h\/5 - 7. Factor t(j).\nAnswer: (j - 2)**2*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2780647?\nAnswer: 2780647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 267 + -263. What is the derivative of -l**2 + 3*l**2 + 0*l - l + 6 - 34 + a*l**2 wrt l?\nAnswer: 12*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = -2557*a + 2555*a + 53, 0 = 2*h - 2*a - 10 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14.58 and 8800.1.\nAnswer: 8814.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jiij when four letters picked without replacement from {i: 9, j: 11}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 - 567*n**4 + n**3 + 591*n**4 + 6*n + 0*n**3 to the form i*n**3 + q*n**2 + g + d*n**4 + h*n and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373875?\nAnswer: 3, 5, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fykoe. What is prob of sequence ko?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -10\/184577 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n**2 - 11*n**2 + 19*n**2 + 13 - 2*n**4 + 0*n**4 as j*n + p*n**4 + u + k*n**3 + y*n**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 16. Let g(j) = 21471*j + 2. What is b(g(r))?\nAnswer: 922007682*r**2 + 171768*r + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1808 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 171 by 80.\nAnswer: 171\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -233 + 63. Suppose 38*d - 16 = y*d. Solve -d = v + 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w = -20. Suppose 0 = w*v - n - 891, 2*n - 667 = -3*v + 3*n. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -11*o**2 - 16*o - 13. Let m(r) = 4*r**2 + 5*r + 4. Let i(j) = -8*m(j) - 3*n(j). List the prime factors of i(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31472, 62992, 94512, 126032, 157552?\nAnswer: 189072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -118, 30, 280, 638, 1110?\n\"Answer: q**3 + 45*q**2 + 6*q - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/5)\/(a\/((a\/(a**(-2\/13)*a))\/a)*a))\/(a**(1\/9)\/(a**8\/a)))**(22\/3) assuming a is positive.\nAnswer: a**(59752\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61165*m - 54703 with respect to m.\nAnswer: 61165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/45)\/((2\/(-3))\/1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47396378?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-956588116)\/18 + -3 + 2. Let v = 649523589517\/12222 + j. Let f = v - 3\/679. Calculate the common denominator of 11\/5 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9212, 8451, 7182, 5405, 3120?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73956 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 127928 smaller than 127946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/355883379 and 14\/42093733.\nAnswer: 3914717169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a century in months?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-7) - (-8218)\/49. Calculate the remainder when c\/27 + (-10)\/45 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1678 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16e (base 15) to base 6.\nAnswer: -1305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -60d (base 16) to base 15\nAnswer: -6d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7829950571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13334 - -13351. Suppose 0 = 4*w - 3*u - 25, -4*u - 1 = w + 7. Solve 0 = w*h - 3 - x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgsgpggggggeggg. What is prob of sequence psp?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4609 and 56565?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2b33 (base 14) to base 7\nAnswer: -31263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/85 and -37\/170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1974 by 6.\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4672 (b) 1\/91 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 2)*(-110*z - 84*z + 37*z)*(-1 + z**2 + 1) to n*z**2 + y*z**3 + d*z + s and give y.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)*x**5*(x**6\/x*x*x)\/(x\/(x*(x*x**3)\/x)))**(-20) assuming x is positive.\nAnswer: x**(-260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*i**2*p**5 + 47*i**2*p**2 - i**2 + 84*i*p**5 - 2*i - 5*p**2 wrt p.\nAnswer: 1920*i**2*p**2 + 5040*i*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 207432887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3 + 0 = 0. Suppose 0 = -j*u + u + 4. Let s(k) = -2*k - 1. Give s(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111121 + 20201022120?\nAnswer: 20200210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 9*f - 14. Let j be q(6). Suppose -n = k - 34, -n = j*k - 16 - 15. Suppose 2*r - 3*r + z + n = 0, r - 4*z = 41. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -797016828 divided by 4\nAnswer: -199254207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/24*(-98)\/1029?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -2.13 (c) 4 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + -1 + -5)**2*-1.\nAnswer: -161 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59943 or -59942?\nAnswer: -59943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-30))\/((-3828)\/143550)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 14) in base 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/(-63) - (-1 + 490\/(-18)). Suppose 0 = -p + 56 + l. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 522\/(-42) - 24\/42. Suppose 0 = f + f + 14. Let n = f - o. What is the lowest common multiple of n and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eneenne. What is prob of sequence nene?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 - -76. What is the second smallest value in 2, 4, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 17*d**3 + 37*d**2 + 8*d + 15. What is a(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**6\/90 + i**5\/10 - 5*i**4\/12 + 4*i**3\/9 + 41*i. Factor p(n).\nAnswer: n*(n - 1)**2*(n + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.23 * -0.1791.\nAnswer: -1.473993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2\/15 + 100*w - 18750 = 0. Calculate w.\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 119371*k**2*s**4*z - 2*k**2*z + 78*k*s**2*z + 65*k*s*z + 2*s**6*z + 2*s**2*z + 2*s*z wrt s.\nAnswer: 2864904*k**2*s*z + 240*s**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.893821 rounded to 3 decimal places?\nAnswer: 1.894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150349 and 11381?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3142*h**3*t**3 + 306*h**2*t - t**3 wrt h.\nAnswer: 18852*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 11*w**2 + 10*w + 2. Let n be t(10). Suppose -n*m + 104 = -66. List the prime factors of m.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2\/7 (c) 2\/13 (d) 547\/2 (e) -11 (f) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**6\/v)\/v*v*v**(-4))\/(v*v*(v**(-2\/9)*v*v)\/v*v*v**0)*(v**(-2\/3)\/v*v**(-4))\/(v*v**(-1\/3)*v)**(-10\/17) assuming v is positive.\nAnswer: v**(-1142\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 361700?\nAnswer: 1446800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -299998*y + 26. Let r = 6 - 3. Suppose 0 = g + r + 10. Let c be a(g). Round c to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1944) - -3*sqrt(1944)*-1)\/(5*(sqrt(1728) + 2*sqrt(1728))).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 + 6*r + 8. Let w(x) = -4*x**2 + 13*x + 17. Suppose -26*p + 23*p = 39. Let g(a) = p*o(a) + 6*w(a). Factor g(q).\nAnswer: 2*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (408 - 0)*(-6500)\/(-78). Round t to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b - 25. Let c(f) = -24*f + 124. Calculate -3*c(j) - 14*v(j).\nAnswer: 2*j - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 5, k: 7}. Give prob of sequence du.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -12*g. Let f(u) = -216*u. Calculate f(z(o)).\nAnswer: 2592*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-4 + -23 + 25)*3\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12788512 is divided by 237.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 424 and 400.\nAnswer: 21200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17982008 to three dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - x = -3160 - 22631, -5*m + 4*x = -32223. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 15. Suppose -3 = -n - g. Let x be n\/3*20\/220. Is x bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -543467*v**3 + 332*v**2 - 115*v.\nAnswer: -3260802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -25. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27.431929 + 38.4319368. Let q = 11 - h. What is q rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-18))\/(12\/(-1134)). Let k be 3 + (-162)\/j + (-22)\/(-14). Let w be ((-3)\/6)\/(1\/(-8)). Solve 2*n - w*i - 16 = 0, -k*n - 3*i + 6 = 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 4:27 PM and 11:36 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4)*(1 + 5). Let y be -3 - ((0 - a) + -20). Let l be 13\/(-26) + y\/(-4). Sort l, 1, 3 in descending order.\nAnswer: 3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 911651 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -13. Suppose -m*y + 0 - 12 = 0, 3*c + 4 = -y. What is c rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -243 divided by 2000098.\nAnswer: -243\/2000098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 - 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6684398 equal to 6684399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 2\/(-2)*3. Suppose x = 5*r + 5, 4*t - 59 = -t + 4*r. Suppose t*g + 208 = 15*g. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 + 0*c**2 + 7*c - c**2 + 6 + 0. Let k be f(-7). Find the second derivative of 0*q + q - k*q + 4*q**3 wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + w + 2. Let l be x(2). Solve 4*z - 4*u = -8, l + 8 = -3*z + u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(3\/11)*m)*(m\/((m\/m**9)\/m*m))\/m)**(-22)\/(m**(-8)*m**8*m**(-4\/7)\/m*m*(m\/(m\/(m\/m**(1\/10))))\/m*m*m) assuming m is positive.\nAnswer: m**(-11293\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -16\/3 - 1\/3*r**2 + 8\/3*r = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 less than -19.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - i + 72 = -3*n, 0 = -5*n - 5*i + 90. Let f = 69 + -32. Suppose -s = 4 - f. Calculate the remainder when s is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2219.00002133 + -2219. What is i rounded to six decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23741\/5680 - -11\/1420. Find the common denominator of -71\/14 and i.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 13*r + 2720. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-234)\/(-63) + 4\/14. Suppose 2*v + 18 = 2*r, 17 - 53 = -q*r - 3*v. Find the third derivative of p**3 + 2*p**3 + 9*p - r*p + p**2 wrt p.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/8*((-154)\/165)\/7\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 + 7*k**2 - k - 13. Let m(j) = -j**3 + 3*j**2 - 6. What is -7*m(b) + 3*y(b)?\nAnswer: -2*b**3 - 3*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00077 to five dps.\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 4 + 7 = -3*x, -18*a + x - 654 + 600 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1176 = 5*b, -3484 = -3*d + 81*b - 85*b. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -5. Solve b = -i - i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {e: 3, m: 12}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 - 3 + 5)*(-1 + 3 - 1) + 17 - 3 - 2)*(15 + 7 - 10)*(-4 + 4 + m) - m - 2*m + 2*m to the form l*m + g and give l.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*w + 0*w - 21 = 0, -3*w = -3*v + 45. Solve j = 4*d + 4, 0*j - 3*j + 4*d + v = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y**2 + 32*y - 7. Determine a(10).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*l + 2. Let m(w) = -w**3 - 2*w**2 + 3*w + 2. Let c be m(l). What is the third derivative of 10*j**6 + 7*j**c - 20*j**6 + 8*j**6 wrt j?\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**5\/5 - 16*b**3\/5 - 8*b**2\/5 + 12*b\/5 + 8\/5.\nAnswer: 4*(b - 2)*(b - 1)*(b + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -96255\nAnswer: -673785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024051 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508*w + 21295 - 4861 = -2334*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1063 - -30477. Suppose 24199 = 4*c + n, -4*c + 5*n - 5233 + z = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + w - 62 + 40 + 9 - 212*w**3 to k*w**3 + r*w + i*w**2 + b and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/323 and -65\/7174.\nAnswer: 136306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 + 4*b + 4. Let f be x(5). Let a(v) = 4*v + 29. Let s be a(-5). Calculate the highest common divisor of f and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 2*k**6\/3 - 15*k**2\/2 + 9. Find the second derivative of r(f) wrt f.\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -5 - 4\/(-2). Let t(i) = 11*i - 2. Let j be t(2). Suppose 6*c - 2*c + j = 0. Sort c, -1, x in descending order.\nAnswer: -1, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (11 - -10) + -41 - 5.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 2. Let z(o) = 1734*o + 105786. Let w be z(-61). Suppose m = 17 - 5. Solve p + 5*d = 10, 0 = -3*p + g*d - m - w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11103 is divided by 35.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32666791 is divided by 119?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 73, 142, 245, 394, 601, 878?\nAnswer: 1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 11*v**3\/3 - 3*v**2\/2 + 2*v + 7. Let y be t(1). Solve -m - 4*m = y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuucuucucuucccuuuu. Give prob of sequence uc.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 208 + -209. Calculate the remainder when (478\/3 + 1 + d)*3 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.87*-4\nAnswer: -3.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-100)\/12)\/(2\/6). Let z = 10 - h. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**8\/2240 - v**7\/840 + v**6\/60 + v**5\/10 - v**4\/3 + 10*v**2. Let s(c) be the second derivative of z(c). Factor s(m).\nAnswer: -3*(m - 2)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 + 3450 - 3450 + 8*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, x: 6}. What is prob of picking 1 c and 1 x?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -8*v**3\/3 - 62*v**2\/3 - 112*v\/3 + 32\/3 = 0.\nAnswer: -4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305 = -5*w - 4*b - b, 0 = 5*b + 5. Is 70 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + o + 4)*(3*o - 5*o - 24*o) - o + o - o**2 + 3*o**2 - 2*o**2 + 2*o**2)*(0 - 1 - 1) + 0 + 0 + 2*o**2 + (o + 2*o - 5*o)*(-5*o + 3*o + o).\nAnswer: 52*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-6*(-6*(sqrt(343) + -1) + -4)*3.\nAnswer: -756*sqrt(7) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -10*l. Let y be -6 - (4*-6)\/3. Let j(f) = 0*f + 0*f - 358*f**2 + 336*f**y. Give j(i(v)).\nAnswer: -2200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 63.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000200273 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/7 - 2715*n**2 - 37998*n\/7 + 152024\/7.\nAnswer: -(n - 2)*(n + 4)*(n + 19003)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 5*y - 2. Let v = 14 - 20. Let k be c(v). Suppose 0 = k*q - 6 - 6. Solve 0*x - q = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85799398639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 509, 995, 1463, 1913, 2345, 2759, 3155?\nAnswer: 3533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77059?\nAnswer: 263, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8605 + -3191. List the prime factors of v.\nAnswer: 2, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 5*w - w)*(-2*w**2 - 706 + 659 - w + w**2).\nAnswer: w**3 + w**2 + 47*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2816486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 312030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1920 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*x - 179*x. Let o = -2 + 6. Let 4\/17*q**2 - 2\/17*q**o + 0*q**3 + x*q - 2\/17 = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - n - 1. Let s(d) = 8*d**2 - 6*d - 6. Let v(f) = 3*f**2 + 81*f + 6. Let g be v(-27). Suppose p + 4 = -3*p. Calculate g*a(m) + p*s(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**3 - 19*n + 322 with respect to n.\nAnswer: 6*n**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z + 2*z)*(-87*z + 311*z - 19 - 193*z).\nAnswer: 31*z**2 - 19*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 738978521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**8\/60480 - x**7\/15120 + 8*x**5\/15 + 14*x**2. Let r(l) be the third derivative of h(l). Factor r(s).\nAnswer: s*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9219 and 2182?\nAnswer: -20115858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (3 + 2 - (0 - 7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**2 - 2*u + 2. Let a(r) = 3 + 921*r - 460*r + 5*r**2 - 464*r. Determine 4*a(o) - 6*x(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 - 833*z + 80040437*z**2 - 80040437*z**2.\nAnswer: z**3 - 833*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4\/s**(-1\/2)*s**(4\/9)*s**(2\/13))**(-29\/3) assuming s is positive.\nAnswer: s**(-34597\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -12*u**3 - 4. Let r(d) = 23*d**3 + 7. Determine 6*r(x) + 10*s(x).\nAnswer: 18*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -0.09 (c) 240 (d) -56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 5, -2, 0, 2 in ascending order.\nAnswer: -2, 0, 2, 5, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n + 4*n + n + 2*n - 6*n + 3*n + (3 - 6 + 2)*(1 - 1 + n) - 89*n - 119 - 86 + 200.\nAnswer: -90*n - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4\/13 + 80\/91. Let r be 3\/(-7) - 289\/(-119). Solve v*a**r - 2\/7*a**3 + 2\/7*a - 4\/7 = 0 for a.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/3))**29\/(u*u\/((u\/(u**(1\/4)\/u))\/u)*u*u**(-1)) assuming u is positive.\nAnswer: u**(-247\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-4 - 18 - -32)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4555 - -8094. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 + -68e?\nAnswer: -67b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -199*u**5\/30 - 148*u**3 + 4*u**2 - 51*u. What is the first derivative of w(h) wrt h?\nAnswer: -796*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q + 14*q + 22*q - 122*q + 70*q - q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12*(-1 - (-8)\/6). Let m(p) = 4*p**2 + 3. Let d(c) = 5*c**2 + 4. Let u(n) = o*m(n) - 3*d(n). Let w(k) = -3*k + 2*k + 2*k + 3*k. Give u(w(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103940?\nAnswer: 2, 5, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1169*s = -2963 - 63670 for s.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 595 and 1666?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -158*a + 2212585 + 1590791. Is a a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*p, -f + 2 = -p + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1159\/7 + 165. Let m = 2424 + -2420. Let v = -2 + 1.9. Sort v, z, m.\nAnswer: z, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, g: 13, x: 3}. Give prob of picking 1 d, 1 x, and 2 g.\nAnswer: 117\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**4 - 2*o**3\/3 + o**2 + o - 2. Let p be v(2). Let q = 73\/2 + p. Is q bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23123362 (base 8) to base 14.\nAnswer: 94a9d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.245 and 76.51.\nAnswer: 76.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*m - 20*m - 1032. Calculate the remainder when 331 is divided by m.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - 5*d + 5*d)*(44*d - 51 + 6 - 45*d).\nAnswer: -d**4 - 45*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/90 and 29\/14160?\nAnswer: 42480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1241, -3529, -7355, -12719, -19621, -28061?\n\"Answer: -769*f**2 + 19*f - 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 512365339 + 0.1\nAnswer: 512365339.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -11*x + 24. Let f(n) = -4*n + 8. Determine -8*f(p) + 3*w(p).\nAnswer: -p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.425 and 0.6.\nAnswer: 4.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 663, 46, 1 in increasing order.\nAnswer: 1, 46, 663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -5*m - 5, 2*b - 3*m - 4 = -5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h = -39*h + 180. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 11:24 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2244 by 51.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.9 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1314 - -1284 - (2 + 8 + 2) - (0 + -2)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29264 or -13031?\nAnswer: -29264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s = 2*p + 8, 3*s + 3*p = -35 + 23 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 198+-86017815.357\nAnswer: -86017617.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + -3*(-4 + 3). Let s be ((-10)\/(-75))\/((-7)\/21). What is the closest to a in -1, -1\/3, s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267653, -267648, -267643, -267638, -267633, -267628?\nAnswer: -267623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 20*f**2 - 14*f - 139. Let o be b(-20). Is 25 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 19*z = 33. Let c(l) = -8*l + 0*l**2 - 9*l**2 - z + 8*l**2 + 1. Let p be c(-8). What is the third biggest value in 0.1, p, 1.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n - 171*n - 166*n - 389*n - 12*n in the form u*n + f and give u.\nAnswer: -732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3189 divided by -3189.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -70*h. Let r(j) = -j**2. Let g(p) = -4*p**2. Let u(a) = g(a) - 5*r(a). Determine w(u(i)).\nAnswer: -70*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 2) + 5 + 7 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 1:33 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t**2 + 64*t - 92. Let m(l) = -4*l**2 - 42*l + 61. Let w(h) = 8*m(h) + 5*z(h). Let o be w(5). Solve -4*n - 2 = -2*j - 5*n, 5*j - 2*n = o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -6902\/451?\nAnswer: -6902\/451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2757.7*0.5.\nAnswer: 1378.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*m - 192*m + 549*m - 160*m + 28*m**3.\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 11*g**2 - 16*g + 19. What is the remainder when h(-11) is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 358.4073 hours to milliseconds.\nAnswer: 1290266280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 200 = 5*n, -4*n = -2*x + 441 + 29. What is the greatest common divisor of x and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 < -397\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*a + j = 13161, 4*a - 52630 = 3*j. What are the prime factors of (-1 + a)\/9 - -2?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 1. Let t(a) = -2. Let u(s) = t(s) + 2*x(s). Let b(w) be the second derivative of 7\/6*w**3 + 0*w**2 - 5*w + 0. Calculate u(b(p)).\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, j: 7}. Give prob of sequence vvj.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70.78 - 65.78. Let w = -18 + 20.2. Let p = 2 - w. Sort p, i, -3\/5 in increasing order.\nAnswer: -3\/5, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**19\/(x*x*x**16*x*x*x)*((x*x\/(x*x**8))\/x*x)\/(x**(-3\/10)*x*x) assuming x is positive.\nAnswer: x**(-107\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6116493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 29\/3 - 4\/6. Let f = i - 17\/2. Suppose -2*b - 2*b = 0. Sort b, 4\/7, f in descending order.\nAnswer: 4\/7, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5171 is divided by 1162.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - k - 6, 2*g - k + 4*k = 7. Suppose y = g*m + 3, y + m = 2*y + 1. Let p(x) = -25*x**3 - 2*x**2 + x + 1. Is p(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -48. Let j be q*(-1 - (4 - 1)). Suppose u - 2*x = 36, -5*u + x - j*x = -141. What is the greatest common factor of u and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1724? (a) -0.3 (b) -2 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 208*z**2 - 8*z + 5. Let s be i(1). Let t = s + -207. Let g(v) = -2*v - 1. Determine g(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32586142 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1190551 and 21887.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5514*v**3 - v**2 + 2*v - 811 wrt v.\nAnswer: -33084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9806756 by -96.\nAnswer: 2451689\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46116 divided by -42.\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 681502 - 1213753. Let z = g - -532204.9938. Let r = 46 + z. What is r rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**4\/4 - t**3 + 3*t**2\/2 + 12*t - 88. Let p be g(0). Solve 2 = 14*w - p*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -8*b + 3*b. Suppose -b*d + 12 = -8*d. Solve 16 = -7*g + 4*g + 2*p, -d*p = -2*g - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3610560537.\nAnswer: 3, 61, 6576613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*s + 415 = -555 + 172 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*w - 20 = 0, -7*d + 2*d + 2*w - 208 = 0. Let u = -21 - d. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9365?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99642 divided by -33214.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 57*36\/(-66)*(-253)\/207\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64798 and 3258.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5832.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*c = -c + 38, 3*x - c = 23. Let d be (-14)\/(-21) + (-52)\/x. Let a be (-2)\/d + (-76)\/(-16). Solve 14 = -a*o - 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - -0.1. Let g be (-4)\/((210\/245)\/(12\/112)). What is the third smallest value in b, -2, g, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*i - 57 = 0, -s - 3*s - 2*i + 210 = 0. Is (2 - 0)\/(2\/s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5378.03 - -5378. What is the third biggest value in -6\/7, 0.04, n?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -137*j**3 - 103*j**3 - 5 + 2 - 3 to the form s*j + u*j**3 + l + q*j**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + y - 5785 = -y, -4*h - 3*y + 4628 = 0. What is the greatest common factor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/7))**(-20) assuming z is positive.\nAnswer: z**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 6*z - 6*z - 1 - 3*z**3 - 3. Let g(a) = -a**2. Let h(q) = -g(q) - u(q). Let d(s) = -3*s**3 - s**2 - 3. Let k(b) = 3*d(b) + 2*h(b). What is k(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3752*t**3*x**3 + t**3*x + 251*x**3 + 9526*x**2 - 7 wrt x?\nAnswer: -22512*t**3 + 1506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 3 - 1)*(-242*f + 242*f - 67 + 2*f**4).\nAnswer: -34*f**4 + 1139","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 >= 87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 10. Suppose 4*k = -b - 36, 0*b = 5*k + 3*b + 52. Let o be x(k). Let n be (240\/9)\/(o\/(-15)). What is n rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.947 - 0.003. Let t = -0.041 - 0.009. Let q = i + t. Which is the second smallest value? (a) q (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559026499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zom when three letters picked without replacement from {c: 1, z: 1, o: 1, a: 1, m: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = -4*w. Let p(x) = 44*x**2 + 2*x - 1. What is the tens digit of p(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*q - 292, 62 = 49*q - 48*q - j. What is the smallest common multiple of q and 7?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1442 + 1889 - 1153 + 1239 + 995)*(-58 + 58 + 6*s**3) + 3*s**3 - 4*s**3 + 2*s**3 as g*s**3 + c + m*s**2 + w*s and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-21) - 74\/(-14). Suppose -m = -4*j - 49, 4*m + 98 = 6*m + 4*j. Let s = 52 - m. Solve -q + s = f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/((-60)\/(-543)) + 64\/80. Suppose -n = -17*s - 88. What is the closest to -0.13 in 2\/17, 0.2, s?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 194 - 1361\/7. Which is the smallest value? (a) -1.2 (b) 3 (c) q (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 0*l**4 + 0*l + 27\/2*l**2 + 19\/5*l**5 + 0*l**3 - 54. What is the second derivative of g(j) wrt j?\nAnswer: 228*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -850 + 846 = 4*l. Let d(o) = o**3 + o**2 + o + 1. Let p(s) = -5*s**3 - 6*s**2 - 3*s - 3. Calculate l*p(c) - 3*d(c).\nAnswer: 2*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = -152 - 342. Let z = m + 121. What are the prime factors of z?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-86)\/(-8) + -2)*4512\/940. Suppose -c - 6 = j, 2*c - 4*c - 5 = -5*j. Let f be (c + 7)*(-43)\/(-2). Is f != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m**2 + m**2 + 4*m**2)*(-7 - 118 - 73)*(1 - 2 - 1 + (1 + 2 - 2)*(1 + 1 - 1) - 3 + 2 + 3 - 1 + 2 - 3 - 3 + 1 + 0).\nAnswer: -594*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 78507 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32273?\nAnswer: 59, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*u = -u - 14, 5*t + 20 = 3*u. Let q = 158 - 157.947. Let j = 0.153 - q. Which is the nearest to t? (a) -0.4 (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 7. Let d be h(-7). Suppose 2*l + 0*l - 2 = d. Suppose 2*z - 5 = -l. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (5800\/72)\/29*45\/(-15)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4377.3 + -4377. Let m be (-2)\/4*(-4)\/(-5). Let g = 1.9 - 2. What is the closest to n in g, m, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -23. Let r = 4.154 + 0.046. Let g = r + -4. What is the second smallest value in 3, g, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 353?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2517\/1001 or -3?\nAnswer: -2517\/1001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3021 (base 4) in base 6?\nAnswer: -533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5495 divided by 157?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 6:19 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 o when three letters picked without replacement from {o: 1, n: 2, b: 1, s: 3, m: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 2:39 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.5, 3172, -19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l**3 + 15*l**3 - 96*l**3.\nAnswer: -98*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4724.981kg?\nAnswer: 4724981000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + 10 + -14 + 1 - -4) + 64?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2476*x + 5113*x - 148201 = -2376*x + 418268 for x.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 37\/2 of a gram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206550.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6342759 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = 3*v - 15*n + 18*n - 21, -42*n = -3*v - 48*n + 27 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5710, -5, 4, 0.1 in decreasing order.\nAnswer: 4, 0.1, -5, -5710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3 - 2*d + 0*d - 2*d + d + d**2. Suppose 4*b - 25 = -b. Is q(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 8*i + 280. Let g be (20\/i)\/(2\/(-14)). Suppose -2*a + 3*a + 5 = 0, -g*p - a + 3 = 0. Solve -p = 3*h - h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -11*b**4\/12 + 5*b**3\/6 + 269*b. Let m(v) = -5*v - 6*v + 39*v**2 - 7*v. Suppose 103 = -u + 85. Determine u*g(i) - 5*m(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 9:53 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.7+2296910146596\nAnswer: 2296910146596.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -2) + 3 + 12 + (-236 - -208)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lj when two letters picked without replacement from yyygjllyyypddy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h**(3\/4)*h)))\/h)\/h**(-2\/5))**28 assuming h is positive.\nAnswer: h**(161\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*c**3 - 130259*c*r + 903*r + 202 wrt c.\nAnswer: -18*c**2 - 130259*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/2 (b) -1\/19 (c) -4\/5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -156c82?\nAnswer: -156c85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 0*x + 1 - 3*x - 13 + x**3 + 8*x**2 + 0. Let r be w(-8). Suppose v - 3*p = -8, 0 = 3*p - r + 3. Solve 4*b = 3 + v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 + 0 - 5)*(2 - 2 - 3) + 9 - 3 + 1)*(-256*t**2 - 2 + 185*t**2 - 245*t**2) as g + m*t + u*t**2 and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7476 is divided by 213.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and 39703 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 9*b - 10*b = 4, 4*b - 35 = 5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10495 divided by -2099\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-84)\/(-12) - 16) + (-1 - -5843)?\nAnswer: 19, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1598 + -799. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3132 and -3134 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -316, -1379, -3146, -5611, -8768, -12611, -17134?\n\"Answer: z**3 - 358*z**2 + 4*z + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -21 - -8 - (-4 - (4 + (69 - -2)))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*m + 2*t + 68, 5*m = t + 94. Let h be m\/(-2)*(-3)\/9. Let k(r) = -2*r - 35. Let p be k(-19). Solve 2*j - h*j - p = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.4003*72.\nAnswer: 244.8216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17324789, 17324771, 17324739, 17324693, 17324633, 17324559?\n\"Answer: -7*n**2 + 3*n + 17324793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3 - (-2 - 4\/3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**3 + 16171314*f**2 - 16171323*f - 32342634 = 0. Calculate f.\nAnswer: -5390439, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3 - r**2 + 12*r = 0 for r.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-2)*(-7)\/49*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -3312421?\nAnswer: -3312413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 112 = -6*f. Let q(b) = -f + 56 - 6*b. Give q(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -246, 4, 1549, 5 in descending order.\nAnswer: 1549, 5, 4, 1, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 570347033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 4. Let y be (-3)\/((-2)\/((-16)\/j)). Let z(g) = -g**3 - 5*g**2 - 4*g - 1. Determine z(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -18*r + 17 - r**2 - 14 - 12 - 2*r**2. Let f be x(-5). Calculate the highest common factor of f and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 - 12*y + 413. What is the remainder when c(-14) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3672 + 3669. Put -4, 0, -2, g in descending order.\nAnswer: 0, -2, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 2, -5, -364, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/216245972 and -1\/44690.\nAnswer: 1081229860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229513933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 208 - -133. Does 26 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - j + 2. Let i = -582 - -581. Let q(g) = -22*g**2 - g + 2. Let x(u) = i*q(u) + h(u). Let n(p) = 12*p**2. Give n(x(c)).\nAnswer: 5292*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -c03ac?\nAnswer: c03ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 4:37 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2107)\/112 + (-1 - -5). Let h = u + -303\/80. Is h at most -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367*u - 29123 = -3*l - 365*u, 0 = 4*l - u - 38839. Is 9709 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - -25 - (-105 - -92)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 9 = 3*o, -13 = f - 4*o - o. Let v = 1 - f. What is the remainder when 6 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 2 = -a. Let k be -120*(33\/a - -3). Suppose -k = -4*j - 5*b, 3*j + 5*b = 6*b + 60. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**3\/6 + p**2 + p. Let y be s(0). Suppose 0 = y*h + 4 - 8. Solve -2*q = -2*w, 2*q - h*w - 2 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l + 4*s - 410, -3*s = -4*l + 1545. Let h = l + -5852\/15. Sort 2, h, 3.\nAnswer: h, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113189.480135 - -113189. Let s = -0.48 - h. Round s to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**5 + 12320*b**4 - 306424*b**3 + 2826544*b**2 - 11382308*b + 16765840 = 0. What is b?\nAnswer: 4, 7, 3055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/2 - (-76051)\/(-1289).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/((-342)\/48 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38916681 to the nearest one hundred thousand.\nAnswer: -38900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32505466?\nAnswer: 2, 7, 19, 122201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -107705 - -181482913\/1685. Which is greater: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -15. Suppose 5*x + 27 = -o*n, 0 = n + 4 - 3. Let r be -2 + x*(-2 - -1). Solve 2*i + 4*f = -2*i + 20, 3*i + r = 3*f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3328 less than -0.771243?\nAnswer: 3327.228757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -28*q**5\/5 - q**4 + 52*q**3\/3 - q + 235. What is the third derivative of p(t) wrt t?\nAnswer: -672*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 56, 70, 104, 164, 256, 386?\nAnswer: 560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 4440121.\nAnswer: -444012.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-70)*5*34.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1801, 1802, 1803?\nAnswer: 1804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1159, 4, 3, -77, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 10:36 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - y**2 + y + 1. Let u(c) be the second derivative of -2*c**5\/5 - c**4\/2 - c**3 + 5*c**2\/2 + 572*c. What is -6*i(g) + u(g)?\nAnswer: -2*g**3 - 12*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 5*s + 1. Let z = -1 - -5. Let u be p(z). Suppose 5*b + 0*b = -5*w - u, 5*b + 13 = -w. Solve -15 = -3*x - w*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 746 from -5349.\nAnswer: -6095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2309610 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 - 2*i**2 - 3*i**2. Let a(u) = 6*u**2 + 4. Let m(j) = -7*j**2 - 7. Let b(o) = 7*a(o) + 4*m(o). Determine g(b(v)).\nAnswer: -588*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 21180.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 195.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99.108 + -99. Let k = g - 0.1003. What is k rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 133323100?\nAnswer: 133323102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 16. Let y be b(16). Is y smaller than 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 442458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.5 + 10. Let d = b + -4.567. Round d to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 8*f**2 + 7*f - 8. Let l be m(-9). Let p be ((-24)\/(-30))\/((-2)\/l). Calculate the common denominator of 7\/5 and (p\/6)\/(32\/(-426)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u + 11. Suppose 0 = 2*x + 2*x - 24. Let r be d(x). Let t = r - -15. Calculate the least common multiple of t and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 5*k**2 + 16*k + 21. Let w(l) = -l**3 + 6*l**2 + 17*l + 22. Let n(b) = 3*a(b) - 2*w(b). What is the units digit of n(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*n, 6*n - 3*n - 18 = -3*a. Suppose 0 = a*l - 10*l + 25. Let o be 9\/15 - (-17)\/l. Solve -b = -u - 2*b, -2*u - o = -2*b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2788709 to the nearest integer?\nAnswer: 1670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*n - 312, 6*f - 3*f - 219 = -2*n. Let k = -71 + f. Solve -k*u + 16 = -4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -710*i + 2*q = -713*i - 10, 4*q = 5*i - 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 1. Let k(v) be the first derivative of -9*v**2\/2 - 8*v + 4770. Let h be 2\/7 - 834\/(-21). Give h*g(i) - 5*k(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 + -0.17. Let w = 1.88 - -0.98. Let m = n - w. Which is the third biggest value? (a) 0.2 (b) m (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -124*w**2 - 1171*w + 32. Calculate g(-10).\nAnswer: -658","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17804744, -35609484, -53414224, -71218964, -89023704?\nAnswer: -106828444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.8 - -0.6. Let n = h + 0.2. Let c = 62\/9 + -440\/63. Is c greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(847)))**2 + sqrt(847) + ((sqrt(84) - 1*sqrt(84)*-6)\/sqrt(12))**2 + 4 + 2 + 2.\nAnswer: -781*sqrt(7) + 30879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7390.\nAnswer: 2, 5, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 841 + -241. Suppose -10*a = 2*a - n. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.907 and -58.\nAnswer: -110.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61509419 - -0.3.\nAnswer: 61509419.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9638 + -9238. Calculate the remainder when a is divided by 190.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 32 = 8. Suppose -6*i = h - 4*i - 23, -t*h - i = -61. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 40 + 18*p - p**2 - 109 + 17*p + 11*p - 67*p. Give b(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26684121, -53368238, -80052355?\nAnswer: -106736472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -1 - 33\/18 - -1. Which is bigger: 5 or r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1627 - -1589. What is the biggest value in -0.2, x, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -2, -1\/4 in descending order.\nAnswer: 5, 3, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 461 + -487.9. Let l = z - -27. Is l at least 0.22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -1\/120*u**6 - 1\/40*u**5 - 11\/6*u**3 + 5*u**2 + 0 + 1\/4*u**4 + 0*u. Let p(r) be the first derivative of i(r). Factor p(f).\nAnswer: -3*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 1 + 1097*m**3 - 1110*m**3 + 0*m**3 - 2*m**3 - m**3 + (-4*m**2 + 0*m**2 + 2*m**2)*(5*m - 5*m + m) - 4*m**3 + m**3 + 2*m**3.\nAnswer: -19*m**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - ((-3)\/(-6)*-4 - 9). Suppose -4*b + 4 - g = 0. List the prime factors of (2\/(-5))\/(b\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2790483.948 rounded to the nearest ten thousand?\nAnswer: -2790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r - 2. Let v be o(-2). Suppose -2*q + v = -h - 1, -3 = h. Suppose -3*m + 4 = q. Which is greater: m or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7038, -7039, -7038, -7035, -7030, -7023, -7014?\nAnswer: -7003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1020988633 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/319 and -38\/261?\nAnswer: 2871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 146425781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 122277685 to the power of 1\/2, to the nearest integer?\nAnswer: 11058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**2 + 7*c + 11. Let t = 86 - 99. Let v(m) = 2*m**2 + 3*m + 5. Give t*v(s) + 6*y(s).\nAnswer: -2*s**2 + 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1044491.77 to the nearest 10000.\nAnswer: 1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3478 - -3478.2. What is the fifth biggest value in 13, r, -2\/9, 1, -0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 34*m**2 - 7*m - 27. Let o(k) = -16*k**2 + 4*k + 14. Let a(b) = 5*o(b) + 2*p(b). Let f(v) = -v**2 + 1. Let n(d) = -a(d) + 10*f(d). Calculate n(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4))\/((-15)\/10). Suppose 4*a = u - 9. Let f = 0 + -2. Is a bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*w**4 - 225*w**5 + 40*w**4 + (0*w**5 + 0*w**5 - w**5)*(3 - 3 - 1).\nAnswer: -224*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/2, 1, -4, -68, 3, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 133 + 502 = 121 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -a + 47. Calculate the remainder when a is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-15)\/y**(-14)*y**3\/(y*y**(-1\/3)\/y*y))**(-16) assuming y is positive.\nAnswer: y**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/3 + 296*m**2\/9 + 1852*m\/9 + 368\/3.\nAnswer: (m + 6)*(m + 92)*(3*m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -336102661, -672205322, -1008307983?\nAnswer: -1344410644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 28 = -2*w, -3*n + 382*w = 383*w + 15 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+472\nAnswer: 471.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b. Let g be q(1). Suppose -v + 1 - 25 = 0. Let k be 4\/(5*v\/(-20)). Is g smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 16 (c) 2\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 5:16 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2. Let h be 3\/2*1*(-22)\/(-3). Suppose -h*c - 13 = -12*c. Let n(p) = 8*p + 9*p - 17*p + c*p. Calculate n(u(o)).\nAnswer: 26*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/9 + 379240132*c\/9 + 17977884714922178\/9 = 0. What is c?\nAnswer: -94810033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13352\/25035)\/((-5)\/((-75)\/21))?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(13) + -4 + -4*(sqrt(13) - sqrt(52)\/sqrt(4)).\nAnswer: -5 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -723*p - 26390. Determine o(-37).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45.1822 + 351366.6178. Let f = u + -351420.799955. Let i = f - -9. Round i to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 2, -2, -4, -6722.\nAnswer: -6722, -4, -3, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -149.54641583 + -3.45355317. Let x = -153 - i. What is x rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**3 + 2*i**2 - 4*i + 3. Let h(d) = -6*d**3 + 2*d**2 - 3*d + 3. Determine -2*a(m) + 3*h(m).\nAnswer: -4*m**3 + 2*m**2 - m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 522, 1765, 4190, 8193, 14170?\nAnswer: 22517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -1698*b + 3389*b - 1704*b + 1. Let g(u) = 4*u. Calculate r(g(n)).\nAnswer: -52*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 8 = -2*z + 94, 20 = 4*r. Let u = -37074 - -37089. Calculate the greatest common factor of u and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqsssqqqqqq. Give prob of sequence qssq.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x + 501*x**2 + x - 1 + 3*x - 3*x - 4*x**3 in the form f + h*x**3 + w*x + g*x**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + 255?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -65*a - 1264. Determine p(-11).\nAnswer: -549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, a: 11}. Give prob of sequence lll.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 41*v. Let x(r) = 318*r - 1 - 160*r - 159*r + 1. Calculate l(x(k)).\nAnswer: -41*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 10:01 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58577099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92*c*j + 16*j + 1 with respect to c.\nAnswer: 92*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -120*s + 237*s - 2 - 111*s + 0*s - s + 0*s + (0*s + 3*s - 2*s)*(-2 + 2 + 2).\nAnswer: 7*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (53 + -16 - -2) + 7?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/28 and 163\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2482 + 4288. Calculate the greatest common divisor of 42 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*y + t + 31, -5*t + 11 = y. Suppose -3*f + 0*f = -y. Let v be (-3)\/f*(-16)\/6. Solve 11 = -5*c + 3*g, -5*c + v*g - 2*g = 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 8*t**2 + 19*t + 9. Give m(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -20*u - 37. Let t(a) = -7*a - 13. Let j(f) = -3*c(f) + 8*t(f). Is j(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 13 = 2. Let l = 20 - 21. What is the biggest value in b, l, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2. Let g(f) = -2*f**2 - 64*f. What is x(g(s))?\nAnswer: -8*s**4 - 512*s**3 - 8192*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**34)\/(f*f*f**13\/f))\/(f**0\/f**(-16)) assuming f is positive.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11341 - -15?\nAnswer: 11400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8683755 + -2?\nAnswer: -8683757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, e: 1, j: 3, i: 2, u: 5, v: 6}. What is prob of sequence ujei?\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1808*m*n**2 - 17*m*n + 6*m + 4 wrt n?\nAnswer: 3616*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30520 (base 11) in base 5?\nAnswer: -2411200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*r + 30*r - 7 = 0. Let h(s) = 2*s**3 - 1. Calculate h(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and -24.\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*a - 42*a = 1440. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5*6\/(-15))\/2. Let j be ((-2)\/s - -39)\/1. Let f = j + -34. Solve 2*u - 12 = 2*o, 0 = f*u - 0*o - o - 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 45\/75*(2 + 22\/(-12)). Which is the closest to u? (a) 0.2 (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2328709 or 67532555\/29?\nAnswer: 2328709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-9)*18\/24*4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3126639, 6253264, 9379881, 12506490?\nAnswer: 15633091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61 times -4?\nAnswer: -2.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28608, -57217, -85826, -114435, -143044, -171653?\nAnswer: -200262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 853 divided by 1.\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 16*b + 23. Let n be q(3). Solve 2*c = n*z - 12, -1 = 4*z - c - 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 divide 1040164207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -273*m + 370. Give p(4).\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*k**2)*(2*k**3 - 3*k**3 + 3*k**3) + (-3*k - k + 3*k)*(3*k**4 - 3*k**4 + 2*k**4) + 5*k**5 - k**5 - 3*k**5 - k**5 - 5*k**5 + 5*k**5.\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**4\/7 - 60*l**3\/7 - 268*l**2\/7 - 372*l\/7 - 160\/7 = 0.\nAnswer: -8, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 1, -14, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 10:29 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4086 (base 11) to base 4.\nAnswer: 1110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -9*c**3 - 4*c**2 + 2*c + 15. Let k(f) = 9*f**3 + 4*f**2 - 2*f - 17. Give -3*k(v) - 4*r(v).\nAnswer: 9*v**3 + 4*v**2 - 2*v - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x - 2. Let v(i) = -6*i - 6. What is -16*j(d) + 5*v(d)?\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 3.3. Let m = 0.46799 + -0.06799. Which is the nearest to -3? (a) 7\/3 (b) y (c) m (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.384 - 139.916. What is h rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -326 + 0.0499.\nAnswer: -325.9501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17\/(420945\/(-70155) + 6)*(-1)\/3?\nAnswer: 17, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/sqrt(9))**2*-4*-2.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93*-2213730.\nAnswer: -205876890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 48548650 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 576*f + 12 + 392*f)*(f - f - 6*f) in the form s*f + z + a*f**2 and give a.\nAnswer: 1104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j - 20*j = -5*s + 1706 - 1721, 0 = 2*s - 4*j - 50 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from juuffj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -0.4, -5\/1172, -3\/7, -130, 2?\nAnswer: -5\/1172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46233?\nAnswer: 3, 11, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 5*c + 5. Let j be q(5). Suppose 10*b = j*b + 3*n - 2, -2*b = -n. What is the lowest common multiple of b and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-14)*(-378)\/324\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 + 0*l**2 + 3*l**2 + 4*l**2 - 2 + 0*l**2 - 3*l**2 + (5*l - l - 5*l)*(-2*l + 2 - 2) to the form d*l**2 + c + a*l and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -557 + 14634?\nAnswer: 14055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 - -172\/3. Let g = 0.1 - 0.1. What is the nearest to r in g, -0.1, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5 = 3, -3*r - 5*n + 4 = 0. Let s(v) = 10*v**2 - 8*v + 38. Is 21 a factor of s(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**7\/84 - p**5\/20 + 5*p**3\/3 + 7*p. Let a(c) be the second derivative of f(c). What is the second derivative of a(i) wrt i?\nAnswer: 60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 34*o - 108. What is the lowest common multiple of 18 and q(-28)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = b + o - 4*o, 2*b - 74 = -2*o. Let a(s) = -2*s**3 - 16*s**2 + 5*s + 8. Let x be a(-8). Let z = x + b. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**3 - 4*x**2 + x**2 + 5*x**2.\nAnswer: 10*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 3*n - 11, -4*n + 3*n + 3 = 0. Suppose f*t = -4*l + 2126, 4*t + 1346 + 1332 = 5*l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41578\/396 - (-6921 - -7026)?\nAnswer: -1\/198","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 564288597 + 0?\nAnswer: 564288597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -3*i**8\/56 - i**4\/3 - 6*i. What is the third derivative of b(n) wrt n?\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -481307801*g**2*z**3 + 4*g**2*z - 14*g**2 - g*z**2 - 122*g + 6*z + 11 wrt z?\nAnswer: -2887846806*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 4*y**2 - 12*y + 8. Let i(s) = -s**3 - 3*s**2 + 12*s - 8. Let v(g) = -2*i(g) - 3*q(g). Is v(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*g**3*i**2 + 2093*g**3 + 12*i**4 wrt i?\nAnswer: 42*g**3*i + 48*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n. Let o(w) = -6*w**2 - 466039. What is o(c(y))?\nAnswer: -6*y**2 - 466039","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.52 - 0.5. Let q = 2 - h. What is q rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 390061 and 42?\nAnswer: 2340366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.4 + 11.4. Which is greater: o or -32?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c + 4*c**2 + 24 - 43 + 11 + 0*c in the form v*c**2 + m*c + a and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*u + 4*s, 4*u - 106 = -s - 37. Let z(g) = -g**3 + 2*g + 6. Calculate the smallest common multiple of u and z(-4).\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 1\/117, -23, 5, -2?\nAnswer: 1\/117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17927 - 17927 - 5*p + p + 6*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -844*i - 90 - 88 - 86 + 264 to m*i + u and give m.\nAnswer: -844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + 1*8\/(-4). Suppose -a - o = -2*a. Suppose s = 2*u - 10, 5*s + 5 - 25 = -a*u. Solve 2*x + 6 = -s*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i + 4*i - 7*i**3 + 5*i**2 + 3*i**3 in the form x*i + s*i**2 + l*i**3 + j and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 17*m + 31. Calculate c(-19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 1. Let x = -28 + 27. Let w(s) = 4*s**3 + 8*s**2 + 14*s + 10. Let i(q) = x*w(q) + 10*z(q). Factor i(v).\nAnswer: -4*v*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*w + 7. Let c be 2\/w - 52\/(-14). Solve -t + 1 = c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -229009 - -4?\nAnswer: -229005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (2*sqrt(396)*2 - (-5 + sqrt(396) + 1 + sqrt(396) + sqrt(396))) + 3 + (sqrt(396) + 2 + 1*sqrt(396) - sqrt(396)))*-3 + -3)**2.\nAnswer: 2376*sqrt(11) + 15345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 2*p + 2. Let a be b(0). Suppose -a*j = -1060 - 418. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*g - 14*g - 15. Let m = -7 - -6.9. Let d(w) = -w**3 - 8*w**2 - 9*w - 16. Let i be d(-7). What is the fourth biggest value in m, 1\/4, g, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2. Let w = -3 + 5. Let x(n) = n - 1. Let r(s) = 8 + 0*s + 10 + 6 - 2 - 16*s. Let u(z) = w*r(z) + 44*x(z). Calculate j(u(c)).\nAnswer: 144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 10:51 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -352, -1413, -3174, -5629, -8772, -12597?\n\"Answer: v**3 - 356*v**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49182273 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.1*1.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - n**3 - 1 + (0*n**3 + 0*n**3 - 3*n**3)*(3 - 5 + 0).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6900*c - 1079*c - 20832*c - 3658*c.\nAnswer: -32469*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwkwbogwuwgwwo. What is prob of sequence gwk?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p - 18*p + 81*p - 1320 = 0. Solve -31*d - p = -64 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 0.04, 5\/2 in descending order.\nAnswer: 5\/2, 0.04, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188, 439, 680, 905, 1108, 1283, 1424, 1525?\nAnswer: 1580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 11*f = -6*f - 5, f = 5*a - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 2*z - 3*u - 230, -2*z + u = 103. Let o be 57*-4*13\/(-52). Let b = o - z. List the prime factors of b.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lol when three letters picked without replacement from {l: 2, r: 2, o: 1, n: 1, d: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2229)\/(-24) + (-4)\/(-32). Let i = 88 + -88. Sort -4, q, i in descending order.\nAnswer: q, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*(h*h*h\/(h\/h**(-5)*h)*h*h)\/h*h))\/h*h*h\/(h\/(h**(-24)*h)) assuming h is positive.\nAnswer: h**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90 - 90. Does 2 divide b - (4\/(-18) - (-392)\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -2, -3 in decreasing order.\nAnswer: 5, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*c + 8 + 37, 0 = 2*c - 5*p + 17. Let l be 2\/6 - 8\/(-3). Solve -d - c*d = -2*b - 15, d = l*b + 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 3*p**3 + 9*p**3 + 3 + 1 - 2*p**2 - 4*p**3 as y*p**2 + n*p**3 + d + v*p and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*f - 30. Suppose f*g - 3*m - 19 = 0, g - 5*g + 24 = 2*m. Solve g*n - 24 = -3*b, 0*b - 27 = -5*n - 4*b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((4*sqrt(39)\/sqrt(3))**2 + 3 - (sqrt(637) - (-5 + sqrt(637) + sqrt(637) + -1 + sqrt(637))**2)).\nAnswer: -259*sqrt(13) + 5984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 4*k - 24. Let z be h(0). Sort z, -5, 2, -4 in decreasing order.\nAnswer: 2, -4, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59973715?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*f = -191*f. Solve 3*o = f, 2*k - 2*o = 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29714700 rounded to the nearest one hundred thousand?\nAnswer: -29700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -64281037 rounded to the nearest 1000000?\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000133405 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84193?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 3. Calculate the remainder when 10 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.89 or 2\/7?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssss. Give prob of sequence ss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/((3570\/51)\/(-70)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**4 - 102*d**3 - 267*d**2 + 372*d = 0. What is d?\nAnswer: -31, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.196012 rounded to zero dps?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 + 11*g**2 - 8*g - 5. Let c(k) = -3*k**3 + 10*k**2 - 7*k - 6. Let y(j) = -3*c(j) + 2*p(j). What are the prime factors of y(5)?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -6*s - 1\/3*s**3 - 1\/4*s**4 - 2 - 1\/2*s**2. What is q(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**6\/30 + 57*m**5\/20 - 59*m**4\/4 + 179*m**3\/6 - 30*m**2 - 1045*m. Determine g, given that h(g) = 0.\nAnswer: -60, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-126) + (-11876)\/252*-15 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/361, -8, 5, 2\/3 in descending order.\nAnswer: 5, 4, 2\/3, 2\/361, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 499*v = 263*v + 269*v - 363 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 - 40. Let t be (16 - v)*12\/(-14). Let w(b) = 3*b**2 + 15*b + 6. What is the tens digit of w(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-1*sqrt(684)*1 - sqrt(684) - (sqrt(684) - 6*((2*sqrt(684) - sqrt(684)) + sqrt(684))))**2*-6 - (-3 + 2*((sqrt(684) - 2*sqrt(684)) + 2)**2)) + 3).\nAnswer: -48*sqrt(19) + 333794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 532 + 1524?\nAnswer: 2256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48354 (base 15) in base 5?\nAnswer: 24332004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 278 + -179. Suppose 0 = 2*v + v + h. What are the prime factors of 2\/(-11) + (-204)\/v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*r + 18 = g, 3*r = 5*g - 21. Suppose v + 2*v - 6 = 0, 3*v + 1894 = 4*t. Let d = 480 - t. Solve d*l + 14 = -g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**2 + 8*y + 7. Suppose 6*q + 89 = -127. Let t be (1 + 2)*(-156)\/q. Let g(k) = -9*k**2 - 17*k - 15. Determine t*c(m) + 6*g(m).\nAnswer: -2*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 14850?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/2573157 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3c465 (base 14) to base 8\nAnswer: -443071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - 0 - (-19 - (-29 + -10 - -15)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 3*g)*(-54*g**2 - 8 + 10*g**2 - 2*g + 7).\nAnswer: -132*g**3 - 6*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/18*(-3420)\/(-7600).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t - 17*t - 3*t - 2*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 314.082 + -315. Let d = 0.108 + r. What is d rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 12 + (-2 - -1 - 45)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -8382214?\nAnswer: 8382216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68478?\nAnswer: 2, 3, 101, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 22 - 22.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from {o: 11, s: 9}?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*s**4 - 31168*s**3 - 546727*s wrt s.\nAnswer: 84*s**2 - 187008*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -117 or -8859\/76?\nAnswer: -8859\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from uuuyuuuuycycyyaccu.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 1 = -n + 10*f + 14 - 3, 0 = -5*n - 2*f - 74 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*l + l. Suppose 4*n + u = 6*n - l, 2*n + 3*u = 29. Let y be 9\/n - 0 - 1. What is the second smallest value in -0.3, y, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04500688 - -0.045. What is n rounded to seven decimal places?\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3247?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0359 + 0.9641. Let v(q) = -q**2 + 9*q - 10. Let l be v(7). Which is the closest to l? (a) p (b) -2\/7 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(72)\/sqrt(4)*-1)**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*f - 28 = 0, 3*o + 3*f - 14 = o. What is the lowest common multiple of (6\/o)\/(3\/21) and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 8:22 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*y**5 - 87*y**5 - 82*y**5 + (0*y**3 - 2*y**3 - 2*y**3)*(-5*y**2 + 4*y**2 - y**2).\nAnswer: -194*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2620080 rounded to the nearest 1000?\nAnswer: -2620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2300 (base 8) to base 11.\nAnswer: -a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 2*p + 7. Let z be a(5). Let b(s) = s**2 + 10*s + 10. Let m be b(z). Let t(i) = -i**2 - 10*i - 15. List the prime factors of t(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*z + x - 4, -5*z + 24 = x. Let f = 24 + z. Solve -2*t + 4*t = 2*l, -2*t = 5*l + f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*y + 375 = 83*y. Which is smaller: -77 or y?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -320740 by -253.\nAnswer: 320740\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 x, and 1 e when three letters picked without replacement from eeephexhexxexxxlxe?\nAnswer: 49\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -173075 - -389286. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**2 - 2 + b**3 + 5*b**2 - 2 - b + 2*b in the form o*b**3 + r + u*b + i*b**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -29307207, -58614411, -87921615, -117228819?\n\"Answer: -29307204*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -a913d0 (base 15) to base 4\nAnswer: -132232031310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -m + 15. Let d = m - -197\/5. Let l be 0 + 2\/(1 - -9). Which is the nearest to d? (a) 5 (b) l (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gagagag. Give prob of picking 1 g and 1 a.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2937795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 1. Let s(q) = -q - 1. Let d = 7497 + -7503. Determine d*o(y) - 6*s(y).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-55) + (1494\/(-240) - -6)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 12, -1, 3 in descending order.\nAnswer: 12, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69060900 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 15, 38, 83, 156?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2. Let v(g) be the first derivative of 0*g**3 + 0*g + 7\/12*g**4 - 4 + 13\/2*g**2. Let k(z) be the second derivative of v(z). Calculate k(b(a)).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-7775)*1\/(2 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 1)*(1164 - 131*l - 1164).\nAnswer: -655*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8.3, -517, 2\/325?\nAnswer: 2\/325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 26 = -5*v, -2*v + 14 = v + 2*i. Let g be 3\/(-12) + 34\/8. Let k be -2 + (g\/2 - -4). Solve -6*m + v*m - k*y - 40 = 0, 25 = -3*m - 2*y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.838219s to milliseconds.\nAnswer: 6838.219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-207)\/(-92))\/(6\/16). Let v(j) = -5 + 8*j**2 + 7*j**2 + s. Let o be v(1). Calculate the highest common factor of 112 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {l: 1, w: 14}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 5\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336721?\nAnswer: 7, 11, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1064?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**5 - 15*z**4 + 15*z**3 - 9*z. Let y(s) = -s**4 + s**3 - s. Let u(r) = m(r) - 15*y(r). What is the second derivative of u(a) wrt a?\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/10*24\/2. List the prime factors of (9\/u)\/(6\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.4 or -26355?\nAnswer: -26355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 18391556 + 37709660 = 0. Let b = 13052652 - c. Round b to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -c - 6*c. Suppose -n - 2*p = -1, 6*n + 10 = 10*n + c*p. Solve -5*d + 0*d + 5 = -n*s, 2*d = -s - 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 - 7*w**3 + 20*w**2 + w + 3*w + 8*w**3 + 2*w**3 - 9*w**4.\nAnswer: -w*(w - 2)*(w + 1)*(9*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + h + 3*p - 51, -37 = -3*h - 5*p. Let d = h + -14. Put 5, 2, d in decreasing order.\nAnswer: 5, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q. Let f be m(1). Suppose f*j - 20 = -5*r, -4*j - 5*r + 11 = -7. Let u(k) = k + 2. Give u(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42973 or 42972?\nAnswer: 42972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2776356 months in decades?\nAnswer: 0.00231363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**5 - 6621*p**4 + 11002371*p**3 - 142250479*p**2 + 557153520*p - 687734208 = 0.\nAnswer: 3, 7, 3304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1895539, 1895543, 1895551, 1895563, 1895579?\n\"Answer: 2*s**2 - 2*s + 1895539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = -3*p - 421. Let y = -56 - p. Let l = y + -15. Calculate the greatest common divisor of 22 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55920?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 42*q - 718. Give h(-10).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -7*p + 16324. Let t(l) = 22*l. Determine t(d(k)).\nAnswer: -154*k + 359128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -34*t - 1. Let r be q(-6). Let b be -1 + 2472\/28 - -22*(-37)\/2849. What is the highest common divisor of b and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 242544*d**3 + 307610*d**2?\nAnswer: 1455264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170 = 6*k - 140 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 6*h. Let w be g(-5). Let u(o) = -4*o + 6. Let b(z) = 2*z - 3. Give w*b(v) - 2*u(v).\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*m + 84*m - 12208 = -11*m. Solve 1994*k = 2002*k - m for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = -4491*p + 4482*p for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((21861\/(-126))\/347)\/(3\/11).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 104*h + 103*h - 4 = 0, 2*d + 5*h + 6 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*u + 2*u. Let n(t) = -t**3. Suppose -5 + 25 = -4*h. Let v(k) = -8*k**3 - 2*k - 1. Let z(j) = h*n(j) + v(j). Calculate z(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 138*s - 1238. Let m be c(9). Solve -m*q - 3*w - 1 = -2*q, 4*q + 23 = w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 1\/1139 (c) 0.3 (d) -2\/81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/8)\/(6\/(-8)). Let q(x) = x + 11. Let i be q(-11). Let z = -1 - i. What is the second biggest value in 0.5, z, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -240? (a) 1\/6 (b) 4 (c) -1\/18 (d) 2 (e) 5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138866312?\nAnswer: 2, 13, 107, 12479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -5261.\nAnswer: 4\/5261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-10)*(-270)\/162?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -481 - -342. Let c = 3755\/27 + q. Are c and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*g + 28 = 0, -2*z + 24 = 2*z + 2*g. Suppose 2032 = z*x - 5392. Is 29 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0022667563 to 6 dps.\nAnswer: 0.002267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -6249, 3, 2.1, 12, 0.6, 0.5?\nAnswer: -6249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3775696 is divided by 2730?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5) + (-2)\/(-5). Let d = -10\/23 + -28\/253. Which is greater: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 6*w = 132648, 260*s + 220982 = 265*s - 4*w. What are the prime factors of s?\nAnswer: 2, 3, 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y + 5*f - 2*f = -32*y - 15, 17*f + 0*f + 85 = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7575208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3075*z**2 + 49*z - 7. Let x(k) = -4062076*k**2 + 64722*k - 9246. Give -9246*p(h) + 7*x(h).\nAnswer: -3082*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z. Let o be p(2). What is the smallest value in 1\/18, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171, 170, 167, 162, 155, 146, 135?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**4 - 60*g**3 + 308*g**2 - 660*g + 504 = 0 for g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6542 a factor of 62188278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/8? (a) 11 (b) -1\/8 (c) 30.1 (d) 12 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -19. Which is smaller: -2\/7 or i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1\/u)**29*(u*u**4)\/((u*u**(1\/6))\/u))**(-4) assuming u is positive.\nAnswer: u**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009487 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -6. Let r = 1 + 7. Suppose 0 = -c + 5*h + 22, -c + 3*c - h = r. Solve -c*n - 1 = -f + 6, -n - p = -f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 127*b - 23 + 2*b**2 + 11 - 1297*b + 11 in the form g*b**2 + s + y*b and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 139 + -138. Let l(v) = v + 2. Let x be l(-7). Let g = x + 8. What is the lowest common multiple of g and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 13610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9331 is divided by 212.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1. Let h(b) = -b + 5. Determine -h(o) - 2*y(o).\nAnswer: o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -0.5, 9675?\nAnswer: 9675","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + -3 + 5 + sqrt(833).\nAnswer: 2 + 17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1463, 11304, 37931, 89738, 175119?\n\"Answer: 1399*n**3 - n**2 + 51*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b + 4. Suppose 0*s + b*s + j - 56 = 0, 5*s + 4*j = 81. What is the highest common divisor of 104 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -1 - 2) + -2 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*y - 119280446 + 119279102 = 0 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6926074?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6 (b) -0.5 (c) -304 (d) 0.04 (e) -8 (f) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(2736) + (-1 + sqrt(2736))*6)*5)**2 + (sqrt(2736) + 1)**2*-1 + sqrt(2736) + ((3 + 3*sqrt(2736))**2 - sqrt(2736)).\nAnswer: -21648*sqrt(19) + 3374172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4 = -7*k - 2*l, 5*k = 3*l + 13. Calculate the smallest common multiple of 7 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 6*k - 5. Determine z(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**8\/84 + u**4\/8 - 3*u**2\/2 + u. Let p(c) be the first derivative of z(c). What is the second derivative of p(i) wrt i?\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*n, -7*c + 2*n = -5*c + 12. Let r be (-3)\/c*132\/(-9). Let j = -13 - r. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-738038)\/(-1309) + ((-48)\/(-22) - 2) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -256, -256, -266, -292, -340?\n\"Answer: -b**3 + b**2 + 4*b - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*y = 21 + 107. Solve 3*f - 2*i = -25, -2*f - 6 = i - y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 10:45 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.297 + -0.296005. What is c rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (4 + -4)) + -13 + 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 0.1 (b) 2.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 431 = 5*g, -4*g - 4*i + 334 = -2*i. Let q be (-8)\/14*112*-5. Suppose 0 = 5*t + g - q. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-39))\/((-2)\/15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 181890\/1981 or 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 35, 81, 145, 227, 327, 445?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 718441 < 718439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -7*h + 8. Calculate d(8).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yfwncmmc. Give prob of sequence mw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1061*n**4 + 832*n**3 - 101*n**2 - 40*n - 56?\nAnswer: -25464*n + 4992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7240552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 1 - 1 - (9 + 11 + -6 - 0)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 9. Does 7 divide y*((3 - 1) + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2*g + 5 = 0, 2*f - 4*g = 5 + 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.49 and -1.93?\nAnswer: -0.9457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkfkkukcu. What is prob of sequence ku?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 1. Let q be h(-4). Put q, -10, 2 in increasing order.\nAnswer: -10, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3798 = -229*m - 1037*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -11*k + 15. Calculate z(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, n: 3, i: 1, y: 3, e: 4, t: 2}. What is prob of sequence be?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 7, 6.8, -5, -8\/29?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 436447\/6 + -71316. Let p = t - 1421. Solve p + 1\/6*h**2 + 5\/3*h = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l - 2*l**4 + 7*l)*(-16*l - 18 + 37 - 16).\nAnswer: 32*l**5 - 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -f + 36 - 27, -3*k = f - 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2723056815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/4 of a millimeter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -7850*d - 23563. Give b(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10270888 divided by -4.\nAnswer: 2567722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 - 2*v + 0*v**2 - 3 + 0*v**2 + v**2 + v**2 - 4*v**2 + (-2 + 2 + 2*v)*(4*v + v - 4*v) - v**2 + 1 - 1 + 2*v**2 + v**2 - v**2.\nAnswer: 3*v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**3 - 6*s - 9. Suppose 3*j + 0*j = -9. Let w be p(j). Calculate the greatest common divisor of 36 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.864574t in milligrams?\nAnswer: 8864574000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/15)\/(d\/(d\/(d\/d**(-1\/7)))))**(-12\/13) assuming d is positive.\nAnswer: d**(508\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3278, -6557, -9798, -12983, -16094, -19113, -22022, -24803?\nAnswer: -27438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4169, -4, -8, 0 in decreasing order.\nAnswer: 4169, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -14*t**2 - 716*t - 2132. Determine x(-48).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**6 - 493*p**4 - 16*p**3 + 4775*p**2.\nAnswer: -240*p**3 - 11832*p - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 + 8*h - 4. Let b be (3 - 4)\/(2 + (-5)\/2). Let y be t(b). Which is smaller: y or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 13, b: 6}. What is prob of sequence obo?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 6*i**2 + 4*i - 1. Let a be p(-5). Let o be (-14)\/(-8) + 1\/a. Let u be (-2)\/(-4)*o\/(-5). Do 0 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4)*(((v*(v*v*v\/(v**(-1)\/v))\/v*v)\/v)\/v*v*v)\/v*v**(-1\/5)*v*v**(-2\/15))\/(v**(-5)*v**(-2\/27))**(1\/27) assuming v is positive.\nAnswer: v**(16343\/2916)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1178 or 116660\/99?\nAnswer: 1178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, h: 1, j: 3, z: 4, m: 1}. What is prob of sequence jq?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(19 + (-5 - -1))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050117862 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-513)\/760*5)\/(3\/(-4)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -1729*u + 65710. Calculate n(38).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2823 - 2771. Which is the second smallest value? (a) h (b) -1\/6 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -32*z**3 + 7*z**2. Let f(w) = -22*w**3 + 11*w**2 + 2*w. Let s(h) = -97*h**3 + 55*h**2 + 11*h. Let x(l) = -11*f(l) + 2*s(l). What is -8*m(p) - 5*x(p)?\nAnswer: 16*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-11 + 7) - (-23 - -5 - 5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 3*m + d, 0 = -0*m - 5*m + 5*d + 75. Suppose -2*n + 3*n - 4*c - m = 0, n - 2*c = 9. Is 10 a factor of (0 - -18) + n\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 2. Let a be n(0). Suppose a*m - 1 = 5. Let w = -29 + 50. Calculate the highest common divisor of w and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2 (b) 0 (c) 0.08 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/30*(-60)\/144. Let r(n) be the third derivative of -1\/120*n**6 - 1\/20*n**5 + 0*n + c*n**4 - 5\/6*n**3 + 0 - 10*n**2. Calculate r(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*v - 3. Let w(g) = 3*g**2 - 3 - v*g**2 - g**2 + 5*g. Determine w(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -260071454*q**4 + 160486121*q**2 wrt q.\nAnswer: -6241714896*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 791.\nAnswer: 7910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2078, -215, 2902, 7279, 12922, 19837?\nAnswer: 28030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, n: 4, c: 1, u: 2, s: 4}. What is prob of sequence un?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q - 6*q - 2*q - 5 + 6*q as n*q + x and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (14506\/4)\/((-5)\/(-10)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/((-8)\/(-3)))\/(27\/6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2986941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -224, -275, -388, -587, -896, -1339, -1940?\n\"Answer: -4*l**3 - 7*l**2 - 2*l - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17.41 - 17. Let o = b + -1.41. Let n = 0 - 0. Sort o, n, 1.\nAnswer: o, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 9046 = x, -u = 5*x - 6444 - 2598. What is the greatest common divisor of u and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3\/3 - 84333803*h**2\/3 + 1778047624277603*h\/3 - 1778047539943801\/3 = 0. What is h?\nAnswer: 1, 42166901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1404112 + -1?\nAnswer: -1404113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/24 - 2 - -2.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*j - 34*j - 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -3\/8, 4, -3\/7, -6 in descending order.\nAnswer: 27, 4, -3\/8, -3\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70934*o**4 + 2*o**3 - 519698*o**2 wrt o?\nAnswer: 1702416*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/9, -2, -37, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/7)\/(c**(1\/16)\/c))\/(c**2\/(c**2\/c*c)))\/((c**(-3\/2)\/(c*c**(1\/9)))\/(c**(2\/3))**(8\/15)) assuming c is positive.\nAnswer: c**(6079\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 - -0.3. What is the smallest value in d, 1\/6, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-2))\/((-74)\/(-444)). Solve w*s - 60 = -9*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(2299) + sqrt(2299))*4 - (4 + sqrt(2299) + (sqrt(2299) - (sqrt(2299) + 1*sqrt(2299) + sqrt(2299))))) + 3)**2 + 0.\nAnswer: -198*sqrt(19) + 186220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 9, 34, 81, 156?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59.9 - 50.124. Let o = m - -0.024. What is o rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44428939 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x, 3*x + 9 = 3*f - 0. What is the second biggest value in 1, 1\/5, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qzkknikk. What is prob of sequence niq?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5443, 10846, 16205, 21520, 26791?\n\"Answer: -22*m**2 + 5469*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*w**3 + 267*w**3 + 102*w**3.\nAnswer: 657*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 217846 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 25. Let x(b) = 8. Let l(a) = 3*g(a) - 8*x(a). Let p(w) be the first derivative of w + 1. Let m(j) = -l(j) + 6*p(j). Differentiate m(u) wrt u.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-42 - (-55 - -56 - (3 + 2))).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 208 - 412 + 204 - 2*c**2. Let g(v) = -20*v. Determine g(h(s)).\nAnswer: 40*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - w - 1609 = -5*s - 1693, -5*s + 56 = -10*w - w for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1666415+-0.41\nAnswer: 1666414.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 40*19784\nAnswer: 791360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2 - 3 + 9*d - d**2 - 9. Let q be p(7). Solve -3 = -q*s + 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 9. Let d be u(-9). Is 10 a factor of 38 - (0 - (d + -2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 16 = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 176 - 93. Let n = 187 - 170. Calculate the remainder when i is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 8 - (-46 + -57)\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2206\/20)\/((-2)\/(-1)). Let j = 583\/10 - l. Find the common denominator of j and (-2)\/6*(-660)\/(-616).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4196, 16881, 38028, 67637?\nAnswer: 105708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -2. Let r be 10\/8*(-3)\/c. What is the closest to 1 in r, -1\/3, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*d**4*w - 113774396*b*d**3 + 592413*b*d*w + 26*d wrt d?\nAnswer: 12*b*d**2*w - 682646376*b*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 - -1.7. Let r be (-3 + 1)*(6 + 138\/(-12)). Let j = -8 + r. Which is the closest to 4? (a) j (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*q - 44, 4*q = 5*w - 20 + 6. Calculate the remainder when 201 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25501642 + 25670967.091. Let d = o - 169536. Let z = d - -211. Round z to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((((-54)\/120)\/(-9))\/(4\/(-30))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1242960*u**3 - 220*u + 432*u - 212*u.\nAnswer: 1242960*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 243 = -4*o. Let a = o - -30. Suppose 3*h - 12 = h. Calculate the lowest common multiple of h and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786924743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -3 (c) -0.03 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.77991 months in decades?\nAnswer: 0.00649925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**2\/3 + 1997*u - 47992\/3 = 0.\nAnswer: -5999, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13598 + 6.7?\nAnswer: 13604.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 161895024.3*-0.2\nAnswer: -32379004.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1234 + -5997. Let r = 7230.9993954 + k. Round r to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = r - 21, -6 = 130*r - 135*r - 3*l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l - 102. Let o be j(7). Find the common denominator of (309\/o)\/((-6)\/4) and 17\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5125, -20504, -46133, -82012, -128141?\n\"Answer: -5125*u**2 - 4*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**5 + 2440*g**2 + 23833*g wrt g?\nAnswer: 20*g**3 + 4880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**3 - 20101308*o**2 + 25253981811360*o - 176776887716800 = 0.\nAnswer: 7, 2512660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 5824404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0026224766 rounded to 6 dps?\nAnswer: 0.002622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in 1\/12, 3, 5, 0.2, 82, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 1 = 10. Suppose 5*d = 2*i + 4*d - 12, -16 = -i + 3*d. Let g be 6 + -1 - i\/4. Solve -5*f - 6 = -b*o, g*f + o = 2*o - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18\/11, 1\/8, -8.6, 0.07, 1 in increasing order.\nAnswer: -8.6, 0.07, 1\/8, 1, 18\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*f = 223*f + p + 7, -p + 25 = 12*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.06. Let x be (-6)\/7 + (-30)\/14. Sort x, v, 0.5 in decreasing order.\nAnswer: 0.5, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 186*l + 185.\nAnswer: (l + 1)*(l + 185)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a second in milliseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/5, 1\/13, -1\/5, 1 in increasing order.\nAnswer: -1\/5, 1\/13, 0.2, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 1212*a**2 - 2*a - 1. Is x(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 69 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (87\/1305)\/(((-24)\/25)\/(8\/20))?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 611.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -1\/3, -1\/5, -5 in decreasing order.\nAnswer: -1\/5, -1\/3, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + t + 1, 0 = 3*z - 5*z + t - 17. Let k(x) = -7*x - 9. Let n(q) = q + 1. Let u(f) = z*n(f) - k(f). Determine u(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.704 - 0.7040361. Round w to 6 dps.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.17220857 to two dps.\nAnswer: -20.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -151 + 148. What is the third smallest value in q, 6, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t - 604*t**3 - 19*t**4 + 30*t**4 + 3*t**2 - 13*t**4 - 2*t in the form z*t**2 + m*t + s + y*t**3 + b*t**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 883929.3ml in litres?\nAnswer: 883.9293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -4. Let y = -2 - k. Let t = -14 - -9. What is the closest to y in 0.4, t, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, f: 2, a: 14, q: 1}. What is prob of picking 3 a and 1 q?\nAnswer: 91\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/66)\/((-12)\/(-8))*-36\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 1.1. Let p = 0 - h. Let o = p + 0.7993. Round o to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 85217, 85232, 85283, 85388, 85565, 85832?\n\"Answer: 3*w**3 - 6*w + 85220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + (-267)\/6)*4\/(-6). Let h = 43 - d. Suppose -4*w = 5*j - h - 28, -3*w + 3*j + 57 = 0. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/p**(1\/3)))**(-2\/87)*p**(3\/4)\/(p\/(p*p**(-4))) assuming p is positive.\nAnswer: p**(-3425\/1044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2, 89, -4 in ascending order.\nAnswer: -4, 2, 10, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 2265*s + 86386. Give j(37).\nAnswer: 1212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 9:24 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -2, 3 in increasing order.\nAnswer: -5, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/84 and 17\/295022?\nAnswer: 1770132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 818*l**2 + 1 - 837*l**2 + 242*l**2 + 4*l + 4*l.\nAnswer: -1413*l**2 + 6*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/720 and 137\/1200?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40475, -80909, -121329, -161735, -202127, -242505?\nAnswer: -282869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11\/189, 3\/2 in decreasing order.\nAnswer: 4, 3\/2, 11\/189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 617812.5mg to tonnes.\nAnswer: 0.0006178125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5148 divided by -4\nAnswer: -1287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12472281121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*w + 243 = -1130 - 1273. Solve -a - w = -8*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110202111 (base 3) to base 13.\nAnswer: 4306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((-2*sqrt(605)*5*-4 + -2 + sqrt(605) + (sqrt(605) + 1)*2 + sqrt(605))*2 + -3)**2 + -1).\nAnswer: -5808*sqrt(5) + 4685128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 33*n = 15*n - 114 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + m - m**2)*(10*m - 12*m + 33*m) as u*m**2 + n + d*m + r*m**3 and give r.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 407 (base 8) to base 2\nAnswer: 100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 32*l + 12. Let t be p(-6). Suppose -t*o + 1364 = 212. Let x be ((2 - 3)\/(-1))\/4. Is x greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201010203 (base 4) in base 11?\nAnswer: -92855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*(-3)\/3)\/(4\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-7))\/((-2)\/(-14)*-50). Let s = 40 - 43. Which is the smallest value? (a) s (b) 0.1 (c) -0.1 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/14 in -5, -0.2, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1188, 4758, 10708, 19038, 29748, 42838?\nAnswer: 58308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.09 (b) 4 (c) 7.1 (d) 27 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/4 <= -1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5716.671 hours?\nAnswer: 20580015600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 464*o**2 + 248*o. Let d(s) = -1392*s**2 - 743*s. Let k(c) = 4*d(c) + 13*f(c). Find the second derivative of k(j) wrt j.\nAnswer: 928","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, 3, 155.5, 4, 1\/9, 0.01, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44336 and 498780?\nAnswer: 1995120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (2 - -6)) + 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 732*y**2 - 36587*y - 1344. Give j(54).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, -0.4, 129?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-126)\/672*28 + (1 - (-4 - 1)). Which is the closest to -2\/5? (a) 52 (b) -0.2 (c) -3 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 - -55. What is the remainder when 2 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -0.088 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*q**2 - 289*q**2 + 89*q**2 + 101*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 23, 37, 43, 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a - 3. Let q(j) = 4*j**2 - 1 - a + 2. Let x(m) = 2*m. What is x(q(b))?\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2. Let p(m) = 138*m**2. Determine p(r(b)).\nAnswer: 552*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.13 (c) -0.5 (d) -0.07 (e) -0.007 (f) -2\/519\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 171 + -75. Suppose 5*y + 22 = 2*i, -i - 2*y = i - 8. Calculate the lowest common multiple of i and w.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fae + 2?\nAnswer: fb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*z = 2*z - 1041, -3*y = -5*z - 631. Let r = y - -134. List the prime factors of r.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187960897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 1\/2, 4, 1680?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 671*t**2 + 127*t**2 - 324*t**2 to r*t**2 + o*t + x and give r.\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a gram in milligrams?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3699 + -2431. Let a = -5071\/4 + g. Factor a*m**5 - 1 - 1\/4*m**3 - 3*m + 3\/4*m**4 - 11\/4*m**2.\nAnswer: (m - 2)*(m + 1)**3*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w + 7*w - 4*w)*(-12*w + 11*w - 18*w - 1)*(w + 4*w - 4*w).\nAnswer: -209*w**3 - 11*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 26, -2\/29, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (2 + 2 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -1685*a**8\/84 - a**4\/24 - 65*a**3 - 6771*a**2. What is the second derivative of t(j) wrt j?\nAnswer: -134800*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -0.05, -1.6, 13?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*b + 2)*(4*b**3 - 2*b**4 - 4*b**3) + 4*b**5 + 2*b**5 - 5*b**5.\nAnswer: -3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 25. What is the least common multiple of 4 and 348\/30 - 4 - (-4)\/v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -598 divided by 53113.\nAnswer: -598\/53113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -421 + -32?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 14*i. Let f(a) = -8*a**2 - 5*a - 10. Let g(x) = -40*x**2 - 24*x - 48. Let d(t) = -24*f(t) + 5*g(t). Determine d(p(k)).\nAnswer: -1568*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 5)*6\/4. Let b be 3\/(f\/(-2)) + (-187)\/(-33). Which is bigger: 32\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w - 3*w**2 + 12*w**2 - w**2. Let n(y) = -15*y**2 + 11*y. Give -6*n(v) - 11*s(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a + 64. Let t be u(-20). Let k(z) = 9*z**2 + 7*z. Let m(o) = -o**3 + o**2 + o - 7. Let x be m(0). Let d(l) = 5*l**2 + 4*l. Give t*k(s) + x*d(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**3 - 18928*m**2 + 3*m + 934378 wrt m.\nAnswer: 6*m**2 - 37856*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 5*n - 1. Suppose -2*y + 3*y + 3 = 0. Let j be -9 - (-6 + y\/(-1)). Let z be w(j). Put -3, 2, z in increasing order.\nAnswer: -3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*b*k**6*s + 6*b*k**4*s - 109*b*k**2 + 3*b*s wrt k?\nAnswer: -1440*b*k**3*s + 144*b*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 122933811 minus -15.004?\nAnswer: 122933826.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8021 = 330*t + 353*t + 200*t - 43341 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 479228373 to the power of 1\/2, to the nearest integer?\nAnswer: 21891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-4))\/(39\/(-520)). Suppose -c*r + 110 = -25*r. Let h = r - -24. Sort 1\/5, 3, h in decreasing order.\nAnswer: 3, h, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 c when four letters picked without replacement from {n: 3, g: 4, c: 4, x: 1, v: 1}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0328 and -1062304.\nAnswer: -1062303.9672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 32468037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 178 + -204 + 30 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444*v + 879*v - 480 = 447*v for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v. Suppose 4*x + 9 = -u, 5*x - 2 = -2*u - 11. Let i(c) = -c**3 - 4*c**2 + 5*c. Let h be i(-5). Let p(q) = u*q + h*q + 2*q + 5*q. Determine p(n(o)).\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.0541 * -2\nAnswer: 0.1082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 5*c**2 + 0 + 0*c**4 + 0*c**6 + 0*c**3 + 0*c - 1\/14*c**7 - 1\/6*c**5. Find the third derivative of j(t) wrt t.\nAnswer: -360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 101*p - 1791. Let s be i(-78). Determine f, given that 0*f + 92\/3*f**4 + 16\/3*f**2 + 28\/3*f**5 + 80\/3*f**s + 0 = 0.\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -145445087\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183750 is divided by 710?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -39 (b) 7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4967\/77 or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 676*r - 184*r**2 - 191*r - 294*r - 191*r.\nAnswer: -184*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1027 + -1011. What is the highest common factor of n and 1936?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17736.78892 to the nearest 10.\nAnswer: -17740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -0.0735.\nAnswer: 0.03675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + r**2 + 2*r. Let s(b) = 1273*b**3 + 6*b**2 + 12*b. What is -6*q(d) + s(d)?\nAnswer: 1267*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**3\/3 + 176*f**2 - 5328*f - 34112\/3 = 0.\nAnswer: -2, 52, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 3:10 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -312*i + 35. Let x be d(0). Solve -241 = -x*q - 31 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 7*h**2 - 7*h - 2. Let m be n(8). Suppose 5*q - m = 14. What is the remainder when q is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3\/4 - 3433*x**2\/2 - 409091*x\/4 - 2487593\/2 = 0 for x.\nAnswer: -6806, -43, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -40*f**2 + f - 8. Let s(z) = -17*z**2 + z - 4. Let v(b) = -3*m(b) + 7*s(b). Suppose -2*y - 2 = 14. Determine v(y).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2727 - -3443. What are the prime factors of v?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8)\/(-4) - (-696)\/(-426) and -37\/4?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -514172 * 267\nAnswer: -137283924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvtvjvjvjtvjv. Give prob of sequence vv.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 159 (c) -0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-14\/3)\/f**(-2\/11))**(2\/33))**0 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 228 - 2050\/9. Suppose 5*p + 0 - 5 = 0. Which is the nearest to p? (a) o (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3905023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/12, -8.9, 2\/17?\nAnswer: -8.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -28, 0.05, 5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3\/7 - 4455*l**2\/7 - 219696*l\/7 - 60228 = 0. Calculate l.\nAnswer: -1434, -49, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1183, 1206, 1229, 1252, 1275, 1298?\nAnswer: 1321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4744 is divided by 191?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 6720000 to the nearest one hundred thousand.\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s**2 - s**2 + 0*s**2)*(-10 - 6*s + 6*s - 2*s) in the form x*s**2 + f + z*s + v*s**3 and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20776320.\nAnswer: 2, 3, 5, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 2820.\nAnswer: 31020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3\/2*c**2 - 3\/2*c + 3\/2*c**3 - 3\/2*c**4 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28320 divided by -4?\nAnswer: -7080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16728\/(-1904))\/(-19 - (-1869)\/98).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 0*g**2 + 3\/20*g**5 + 0*g**3 + 1\/2*g**4 - 8*g + 0. Solve n(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147037 is divided by 51?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -121002112 (base 3) in base 10?\nAnswer: -11732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1756227 and 436956?\nAnswer: 91323804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 6*x**2 - 7*x + 5. Let g be j(-7). Suppose 13 = -g*p + 68. What is the remainder when 32 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -16*s - 16. Let h(c) = -29*c + 3 - 24*c + 56*c. Let t be 6\/(-21) + 79\/7. Determine t*h(y) + 2*g(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 6*k + 3192. Suppose 12*z - 5*z = k. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3945 and 99940?\nAnswer: 299820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39.48 - 31.87. Let a = -4.95 + z. Round a to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8478750 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x + 37*x + 6*x + 5*x - 10*x.\nAnswer: 45*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 1. Let d(z) = 3*z**2 + z - 4. Let m(l) = -l**5 + l**3 + l**2 - l. Let h(j) = d(j) - 3*m(j). Let g(y) = h(y) + 4*v(y). Factor g(q).\nAnswer: 3*q**3*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 777710992426\/40575567867 - -140\/8834219. Let f = -1\/3062 + u. Let v = 204 - 1231\/6. Calculate the common denominator of v and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1942\/9 - -216. Which is the nearest to 4? (a) 2 (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489348917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/168*7\/3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 + -19. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -7*t + 60. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 348*l + 692. Let z be b(2). Let p(n) = 6 - 2*n - 2 + 3*n. Calculate p(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5\/8 + 19*z**4\/4 - 21*z**3\/2 - 79*z**2\/4 + 83*z\/8 + 15 = 0. Calculate z.\nAnswer: -40, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 43*l - 1603. Let g be c(-24). Solve -n - 2*n = -y + 3, 4*n = y - g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12669 divided by 564?\nAnswer: -4223\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -33?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498224*(-2)\/(-15) - (-16 + (-2142)\/(-135))?\nAnswer: 2, 5, 7, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 512 or 514?\nAnswer: 514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1080 is divided by ((-84)\/(-168))\/(1\/62)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 40 - 82\/3*j**2 + 26\/3*j**4 + 22*j**3 - 128\/3*j - 2\/3*j**5 = 0. What is j?\nAnswer: -2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117375048 and 294?\nAnswer: 821625336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -67\/6. What is the second biggest value in -0.4, -0.2, -2\/15, j?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 1344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*o + 60 = 0. Let x = 32 - o. Let y be ((-136)\/(-4))\/(3 - -5 - 6). What is the highest common factor of y and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*g - 4*r - 2 = 0, -2*g - r = -17. Let q = g + -5. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/32 and -71\/44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 1 = -d, 0 = 3*d - 5*d + 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8442 and 9.\nAnswer: 8442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -284.1 and 1223.\nAnswer: 938.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-6)\/21)*8. Let n = 58 - d. What is the remainder when 17 is divided by ((-15)\/(-25))\/(2\/n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/((8\/18)\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 4:10 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l + 28*l + 16*l - 69*l + 15*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by 1\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmnnknnkmnmmkm. What is prob of picking 4 n?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 1 + 6*m + 4*m + m**2 + 1 + 0 + 0. Let w be (24\/10)\/(9\/(-30)). Determine j(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 19*p - 461. Let k(m) = 12*m - 303. Let i(r) = -5*a(r) + 7*k(r). Calculate i(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 3*k**5\/5 + 9*k**4\/4 + 2*k**3 - 7. Let u(r) = 0. Calculate r.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24610 divided by -11.\nAnswer: -24610\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.29 (b) 5 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121756 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1268598?\nAnswer: -1\/1268598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 - -203. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 24. Suppose d = -q - 24. Let r be (5 - q)*2\/4. Solve 3*u - 20 = 4*b, -3*u = b + 2*b + r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 + 35. Let t = 59 + m. Let q = -12 + t. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.896219 rounded to two decimal places?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1815488 - -57157\nAnswer: 57157.1815488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m**(-1\/11)\/m)\/m*m**(-2\/5)*(m\/(m*m**0*m))**15 assuming m is positive.\nAnswer: m**(-907\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.1 (b) 5 (c) -136 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 7*b + 3. Suppose -3*v - 5*p = -21, v + 21 = 4*v + p. Determine l(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 325*c - 139*c - 154*c.\nAnswer: 32*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -9*k**2 + 907*k + 313. Give y(101).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 174*z - 86. Calculate the least common multiple of t(1) and 6.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 - 1.99. Let w = -0.24 - -0.19. Let j = w + 0.25. What is the closest to j in k, -2\/5, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/8 and 5\/66 - (-9 - 345\/(-45))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*z**4 + 50*z**2 + 37*z**4 - 14*z**2 wrt z?\nAnswer: 792*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2 - r**2 + 8 - 4*r - 3*r. Let t(l) = 11*l. Let f be t(0). Suppose 0 = 4*x - 2*y + 18, 5*y + 11 + 14 = f. What is p(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.3569 litres in millilitres?\nAnswer: 72356.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000046833 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**7\/28 - h**6\/10 + h**4\/4 + h**3\/4 - 7*h. Factor d(n).\nAnswer: -3*n*(n - 1)*(n + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143816 is divided by 200.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.037 and 20376.\nAnswer: -753.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 6247200 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -12*b**2 + 52*b - 30. Let u(k) = 23*k**2 - 103*k + 60. Let t be (-66)\/21 + (-4)\/(-28). Let s(o) = t*u(o) - 7*z(o). Factor s(j).\nAnswer: 5*(j - 3)*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from {s: 1, g: 3, o: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**10*g**(8\/13) assuming g is positive.\nAnswer: g**(138\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4708637737.\nAnswer: 271, 17375047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*d + 100 = 11*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 1239 = -8*z. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.2 + 7.1. Let k = w - 3. Let f = k + 0.100024. Round f to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6 + (-46)\/6. Let i be 30 - 1*(6 + -4). Let w = i - p. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -1.8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -4*l + 2*s, -3*l - s - 62 = 2. Let a = l - -61. Suppose -5*k + 2*k + 3*p + 63 = 0, -2*k + p = -a. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -152322380*z**2 + 65767*z - 199?\nAnswer: -304644760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 361*0.22.\nAnswer: 79.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -202, 0.1, 2\/197, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/56 and 29\/1953640.\nAnswer: 13675480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*x = 3*w + 3, -w + 4*x - 10 = 0. Let h = -27.3 + -1.7. Let r = h - -28. What is the closest to r in 2\/5, -10, w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 + -4.8. Let t = 1.9 + d. Let s = t - -2.6. What is s rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214121134 (base 7) to base 16.\nAnswer: c402c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - m + 2. Let x be a(2). Suppose -7 = -x*w + s + 5, 2*s + 10 = w. Factor -5\/3*q**w - 10\/3 - 5*q.\nAnswer: -5*(q + 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v - 4. Let i be (-36)\/54 - 32\/6. Let s(b) = 2*b + 4. Give i*s(a) - 5*h(a).\nAnswer: -2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 + 0*d**3 + 1 - d**3 - 4*d**3 + 4*d - 7*d**2. Let c be a(-4). Suppose 0 = 5*q + 2*x - c, 5*q - 21 = -4*x + 44. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a - a - 4*a + (-3 + 3 + a)*(4 - 1 - 2) + a - 3*a + 0*a + 6447*a + 3731*a + 1947*a + 7012*a + 406*a.\nAnswer: 19540*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 34*f - 41. Let a(b) = -2*b**2 - 71*b + 81. Let c(y) = 2*a(y) + 5*r(y). Let j be c(-30). Solve 7 - j = -5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 5:44 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 208261 (base 9) to base 11\nAnswer: 85301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210872*o - 17*o**2 - 210872*o.\nAnswer: -17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*h + 65*h - 4. Solve 0 = 4*q - h*a - 22, -3*a - 25 = 3*q - 7*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 615492951*q**2 - 10613039*q - 5?\nAnswer: 1230985902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 0.3, 1\/9, 1\/2 in ascending order.\nAnswer: -2, -1, 1\/9, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**3 + 16*m**2 - 4*m - 33. Let n be j(-8). Is -198\/131 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1092 and 2002.\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(3*6) - 40\/(-48).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2394)\/(-190))\/(6\/260). What is the units digit of c\/((-77)\/(-14) - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/868 and 11\/1953.\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = -3*m - 5*f, -f = -2. Let d(u) be the second derivative of -u**3\/2 - u**2\/2 + u. Let g be d(-2). Solve m = -6*k + k - g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*b + 18, -8 + 0 = -3*b - 5*q. Suppose -b = f - 10. Find w such that 18*w**2 - 16*w**3 - 14*w + 10*w**3 + 2*w**4 - f*w**3 + 4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f**2. Let a(z) be the second derivative of 0 - 7\/6*z**3 + 47*z + 0*z**2. Calculate a(h(x)).\nAnswer: 35*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*d + 31 = 65*d. Let o = 1.76 + -6.76. What is the closest to d in o, -1\/11, 2\/17, -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1543128881 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -717 - -733. Solve -7*x + 3*x = -f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -302 and -294 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3, 0.19, 2034, 1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 357 and 112161.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -6. Let k(h) = -2*h + 3. Calculate the remainder when p is divided by k(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 33 = 4*v - 1493, 5*p + 4*v = 3620. Suppose 3*m + 130 = -5*g + 375, -2*g = 3*m - 242. Calculate the greatest common factor of p and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 2. Let u be k(1). Let r(y) = -y - 3. Let s be r(-6). Solve p - s = 3*o - o, 0 = 5*o - u*p + 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**2\/2 + 36978*r - 227895414 = 0.\nAnswer: 12326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1166315 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-7 - (-23 + 17)) - (0 - 4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**4\/24 + i**3\/6 - 2*i**2. Let p = 12 - 3. Let y = p + -6. What is h(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + (sqrt(847) - (-1 + sqrt(847) + -1 + sqrt(847))) + sqrt(847)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/975, -2, -6\/95 in decreasing order.\nAnswer: 2\/975, -6\/95, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10709.591949 rounded to the nearest 100?\nAnswer: -10700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 + (151 - 142).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 6\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2629315?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 34 + 4 = 0. Suppose 5*w = 4*p - 7*p - 20, -2*p - 20 = 5*w. Let f be (w\/8)\/((-1)\/18). Calculate the greatest common factor of g and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of q**5\/10 + 3*q**2. Let s(l) = -2*l**2 + 5*l. Let x(w) = -2*w**2 + 6*w. Let v(g) = 6*s(g) - 5*x(g). Give z(v(y)).\nAnswer: 24*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.56972 or 3?\nAnswer: -2.56972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2.3. Let y = 0.4 + -0.4. Let f = y - o. Sort -1, f, 1\/4 in ascending order.\nAnswer: -1, f, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 1:32 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 7*j = -765. Suppose -2*d + j = -2*h - 57, -2*d = -h - 109. What is the greatest common divisor of d and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = 62*m - 88*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30676 - -90363. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -1. Suppose -6 = f - n + 1, -n - 23 = 5*f. Let m(k) = 43*k**2 - 19*k - 5. Let c(u) = f*y(u) + m(u). What is the second derivative of c(r) wrt r?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 5*j + 6.\nAnswer: -(j - 6)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/1 + 4 + 1. Suppose -2*s = 3*h + 36 - 342, 596 = 4*s + 2*h. Let i = s + -135. Solve -4*g - 3*y = -14, 2*g + 0*g + a*y - i = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92430240.\nAnswer: 2, 3, 5, 7, 27509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6*q + 6. What is the remainder when l(-2) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3 - 9. Suppose -5*t - 2*f = 0, t = -4*t + 3*f. Suppose t = -g - g + y. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*l + f, -5*l - 104 + 100 = f. Solve -17*m - 7 - 10 = l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 51*r + 3. Let l(v) = 2*v**2 + 54*v - 4. Let m(a) = 4*h(a) + 3*l(a). Let s(b) = 5*b. Determine s(m(w)).\nAnswer: 10*w**2 - 210*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32679*f*g**3*q*s - f*g**3*s + 34*f*g**3 - 3791*f*g*q - 7*f*q*s - 43*g**2*q*s - g**2 + 3*g*q*s wrt g.\nAnswer: -196074*f*q*s - 6*f*s + 204*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/20*(-2000)\/5500*(-14 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 3*p - 58 + 62 = 0, 7*q - p - 8 = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-4) - (-2)\/4. Suppose i = -v - v + 1, n = -i + 3*v. Let f(d) = d**3 - 8*d**2 - 9*d + 67. Let m be f(8). Put 0, i, m, -2 in decreasing order.\nAnswer: 0, i, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22102201010010 (base 3) to base 2\nAnswer: 10001000110001110111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (-10 + -8 + 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*f + 2124 = -218*f. List the prime factors of f.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -360998970*s**3 - 202412572*s wrt s.\nAnswer: -2165993820*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**2 + 7*g. Let w(v) = -v. Let h(s) = b(s) + 2*w(s). Let q(f) = f**2 - 6*f. Let x(p) = p. Let r(k) = q(k) + 5*x(k). Calculate h(l) + 3*r(l).\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132682.\nAnswer: 2, 11, 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((119 + 19)\/6)\/(-7))\/((-1)\/21)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 52?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -88*l**3 - 3*l**2 + 2*l - 9. Let c(s) = -2*s**3 - s**2 - 3. Determine 3*c(z) - i(z).\nAnswer: 82*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25726273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 69855, 69856, 69857?\n\"Answer: o + 69854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 422*h**2 - h + 3. Is u(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1536270677*b**2*h**3*t + b**2*h**2*t - 91*b**2*h*t - 152*b**2*h + b*h**2*t - b*h**2 + 2*b*h*t - 3*h**2 wrt h?\nAnswer: -9217624062*b**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 - 4087\nAnswer: -4087.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 21*c + 11. Let u be l(6). What is u rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41557 - -24365. Let m = 84192 + c. Round m to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -5*j**4 - 145*j**3 + 60*j**2 + 18900*j = 0.\nAnswer: -21, -18, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + -1 + sqrt(363) + sqrt(363))*-2 + 2*sqrt(75) + 3.\nAnswer: -56*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281525 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90884 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -204, -4, -3, -557 in increasing order.\nAnswer: -557, -204, -4, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 736 - 2012 = 0. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 403 - 10011014?\nAnswer: -10010211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 6*t**2 + 6*t + 5. Let f be u(-5). Let m = 2 - f. Solve -w = 4*g + 18, w - m*g - 5 = 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 17*t**2 + 11*t + 32. What are the prime factors of i(-16)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -u - 9, 4*z = 4*u + 2*z + 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -13*s**3\/3 + s + 1. Let a(r) = -r**2 + r - 1. Let p be a(3). Let l(w) = -4*w**2. Give p*l(y) + 2*v(y).\nAnswer: 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, e: 2, x: 1, s: 1, q: 2, v: 2}. What is prob of picking 1 f and 1 v?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(200)\/sqrt(5))\/sqrt(2))\/(-2*sqrt(160)*6))**2*1.\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + (-1 - -3))*13. Suppose 4 = i, 0 = -3*c - 2*i + i + t. Suppose 2*k = -c*k + 110. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**22\/(v*(v*(v\/v**(-4\/29))\/v)\/v*v)*((v*(v*v**(-9\/2)*v)\/v)\/v*v*v)\/(v*v**(2\/9)) assuming v is positive.\nAnswer: v**(8947\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17368.6 take away -798?\nAnswer: -16570.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 6\/134737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 39 = -4*k. Let h = -152 - -257. What is the greatest common factor of h and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 7070539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11175948 divided by 3?\nAnswer: -3725316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201 - 50 - 3625 = -57*t for t.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5326 + 5326 + 9*a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2420 and 11604505.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -7, 2, 803, -3\/2, 1\/3, 2\/25, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 1.6581939603?\nAnswer: -2.1581939603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2*2)\/((-248)\/(-31))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 9 = -3*c, 5*c - 2*x = -7 + 13 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.357 + -0.197. Let k = 0 + -1. Which is the second biggest value? (a) k (b) -2 (c) s (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -163 - -159. Let b be 10\/x - (-3)\/(-2). Put 8, 1, b in ascending order.\nAnswer: b, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2057?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 46.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08632727 rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -14*b - 4. Let h(d) = -4*d + 1. Let z be h(1). Let u be i(z). Suppose -1 = -3*g + u. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.45 + -0.08. Let j = -0.17 + a. Let v = -4 + 3. Which is bigger: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -252*w - 187. Let l be h(-14). Let q = 33437\/10 - l. What is the common denominator of (3 - 1) + 173\/(-48) and q?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -366 - -411. What is the highest common factor of 120 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2187 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6637861729 rounded to 2 dps?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 180.9 + -174. Let l = 0.2 - g. Round l to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 269 = -278. What is the third smallest value in o, -17, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 26*c**3 - 3*c**2 + 15. Let x = 6 + -10. Let n(u) = 27*u**3 - 4*u**2 + 15. Let o(p) = x*f(p) + 3*n(p). What is the derivative of o(l) wrt l?\nAnswer: -69*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 1*-5)*1. Suppose 0 = 3*p + 3*n + 6, 4*n + 7 = 3. Let s(w) = 4*w**3 + 3*w**2. Let l(f) = f**2 + 2*f**3 - f**3 + 0*f**2. Give p*s(a) + z*l(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3767, -8410 in descending order.\nAnswer: 3767, 12, -8410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 9 - 6)*(-2*r**2 + 0*r**2 + 0*r**2)*(-5*r + 4*r + 7*r)*(-r**2 - 4*r**2 + 2*r**2) - r**5 - r**5 - r**5.\nAnswer: -399*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-4))\/(63\/(-72))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(6*p - 13*p + 3*p)*(-87*p**2 - 80*p**2 + 46*p**2 - 87*p**2) to f*p + c*p**3 + y + r*p**2 and give c.\nAnswer: -1664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -600 - -611. Calculate the remainder when b is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w - 5. Let m(p) = -4*p - 6. Let u(h) = -5*m(h) + 6*q(h). Let f(t) = 342*t**2. Determine f(u(b)).\nAnswer: 1368*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(-2)*((-64)\/(-24))\/(-4). Does 26 divide (700\/(-21))\/10*(-624)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1184 and 73\/7104.\nAnswer: 7104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3189684430?\nAnswer: 2, 5, 103, 139, 22279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 21952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 330 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - c + 77 - 340 = 0, 5*j - 3*c = -443. Calculate the lowest common multiple of 22 and (-2)\/11 - 1776\/j.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3082, -6166, -9250, -12334, -15418, -18502?\n\"Answer: -3084*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 7:42 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-23 - -11) - 22\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(((k*k**5)\/k)\/k*k)\/k*k**5)**(-2\/165)*(k\/(k*k*(k\/(k*k\/(k*(k*k\/(k\/k**(-1)))\/k)))\/k*k))**(-3\/4)*k**2\/(k*k**(4\/9)*k) assuming k is positive.\nAnswer: k**(-56\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 8*u - 5. Let d be j(-1). Let o = d - -20. Calculate the highest common factor of o and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/20*(-84)\/1512 and 73\/20?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 63*g - 7549. Calculate l(120).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5336 is divided by 4271.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -9, -38 = -5*t + d - 0*d. Let q(p) = -10*p**3 + p**2 - p - 1. Let f be q(-1). Let k = t - f. Let v(n) = -n**2 - 2*n + 4. Determine v(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.602657 times -1.1\nAnswer: -9.4629227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*v**3 - 102*v**3 - 15*v**3 - 10*v**3 - 31*v**3 + 184*v**3 - 8*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -711*r - 607*r**2 - 2 + 1393*r + 0 - 682*r. Let s(t) = -2*t**2. Calculate f(s(z)).\nAnswer: -2428*z**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + b**5 - 4*b - 21)*(-377 - 153 + 149).\nAnswer: -381*b**5 + 1524*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 5*t + 3. Let z be a(-3). Let q = 13 - 30. Let b(h) = 7*h**2 + h - 1. Let j(n) = 20*n**2 + 3*n - 3. Give q*b(w) + z*j(w).\nAnswer: w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3639916 to the nearest ten thousand.\nAnswer: -3640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w**2 + 3*w + 2. Give p(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/2 + -1\/10. Let y = x - -11\/10. Which is the third biggest value? (a) y (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -4*f, 3*b + 2*f = 3*f. Suppose -w + 204 = 5*u + w, -4*u - 2*w + 162 = b. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(56)*1)\/((sqrt(98) - ((sqrt(98) + sqrt(98)*-2 - sqrt(98))*-4 + sqrt(98) + sqrt(98))) + sqrt(98)))**2 + -2.\nAnswer: -223\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4\/7 - 24\/7*r**2 - 8\/7*r**3 - 18\/7*r = 0.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = -9*t + 4*t + i, t - 3*i + 36 = 0. Let c be 6\/t - 19\/7. Is -1 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1208151315 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 - -76. Suppose 0 = j, -i*f + 681 = j + 69. What are the prime factors of f?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 418*z**2 + 20*z**3 + 2*z + 14 + 3*z**4 + 830*z**2 - 408*z**2 to q*z**3 + l*z**4 + v + k*z**2 + c*z and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 707 (base 12) to base 11\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 888*j**3 - 4*j**2 + 14965*j?\nAnswer: 5328*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 15) to base 6.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10701.\nAnswer: 3, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = -5*g + 3*v + 27, 4*g = -5*v + 27. Factor 2*b - 18 + 3*b + 4*b - 2*b**2 + g*b.\nAnswer: -2*(b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/270*6 - 12\/10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h**2 - 5*h + 3. Let f(s) = 2*s**2 - 152*s - 156. Let t be f(77). Let l(p) = -19*p**2 + 16*p - 10. Give t*l(m) - 7*o(m).\nAnswer: -4*m**2 + 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/84*10\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -36, -52, -68, -84, -100?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 11459448.\nAnswer: 11459448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6 + 264\/63 + -3. Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 38 = -4*y - 4*b, -16 = -2*y + b for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*m - 300 - 1191 = 1659 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*y = 4*o + 976, 4*o - y - 44496 = o - 44486 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 23\/6*w**3 + 0*w**6 + 0*w**5 + 0*w**4 + 9*w + 0*w**2 + 0 - 13\/42*w**7. Find the second derivative of m(z) wrt z.\nAnswer: -260*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -2. Let s be (-18)\/(-4)*(-4)\/3. Let z be (174 + t)\/(s\/(-2000)). Round z to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 11 = -c, -2*c - 9 = -4*w - 43. Let g(m) = m**2 + 44*m + 183. Calculate the remainder when g(-40) is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49291 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -225 + 2234551?\nAnswer: 2234323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b**2 - 5*b**2 + 28*b**3 + 1 + 9*b**3 - 8*b**3 + 7*b**3 to u + j*b**3 + v*b**2 + t*b and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-385)*(-121)\/22?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 144108.975 rounded to the nearest 1000?\nAnswer: 144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1946 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*q + 24*q + 5726*q**2 + 31*q.\nAnswer: 5726*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*u - 16. Let w = 12 - u. 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 remainder when 137 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 16*f**3 - 10*f**2 + 10. Suppose -33*z = -28*z + 5. Let c(k) = k**3 - k**2 + 1. Give z*o(u) + 10*c(u).\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41.4 + -45.4. Which is the nearest to -3\/2? (a) 4 (b) -21 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60055757 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + 0)*((-7)\/2 - -3). Suppose -5*j - v + 33 = 0, -v - n = -j + 6. Calculate the greatest common factor of 77 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 5*j - 9)*(-j**2 + 5*j**2 - j**2) to d*j**3 + f*j**2 + i*j + o and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.9 - -4.1. What is the closest to n in -1\/12, 0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31419?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*v - 18, -4 = -3*v - 3*s + 2. Let x be (-5 - -7)\/(2 - v). Let j be (-1)\/x - 2\/(-1). Solve 2*n - 3 = j*w - 0*n, -5*w - 7 = -4*n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*r - 2, -2*r - h = -0*r - 7. Suppose r*c = 4*c. Let x be 5 + (0 - 0\/(-3)). Put x, c, 4 in ascending order.\nAnswer: c, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20883\/4 - 5196. Calculate the common denominator of d and 3\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in -0.1, -2, -1\/8, -4\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3101 + -4?\nAnswer: -3105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -119899.\nAnswer: 23979.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 2*a + 2*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -311*g + 123*g + 90*g - 269*g to the form s + f*g and give f.\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -148.55, 2, -1.86?\nAnswer: -148.55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/((j**(-17)\/j)\/j))\/j**(2\/17)*j**3*j*j\/j**(2\/11))**(-34) assuming j is positive.\nAnswer: j**(-9612\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4494 and 36582?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p - 30. Suppose w + p = 6*w. What is the derivative of -12*g**w + 4 - 11*g**3 + 21*g**3 + 5 wrt g?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121314 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 - 37. Calculate the least common multiple of 33 and a.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1471 - 1468. Solve 2 = l - c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -736900073.4 to the nearest 10000.\nAnswer: -736900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and 3?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65 * 0.2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507633234.\nAnswer: 2, 3, 103, 619, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 8 = 1, 0 = 5*v - o + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/114, -2\/9, -26\/15, 0.3?\nAnswer: -26\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-392)\/(-84)*(-11)\/(-308)*12. Solve 1\/3*q - 1\/3*q**3 - 1\/6*q**4 + 1\/6*q**j + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 176c0?\nAnswer: -176c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276 + n - 78 - 73.\nAnswer: n + 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11265007?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 7*b**2 + 5*b. Let x be t(-6). Let l be (-3)\/(-6) + 33\/x. Calculate the greatest common divisor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 0*d + 1 - 7*d + d + d**2. Let b(z) = -2*z**2 + 13*z - 2. Give 6*b(v) + 13*x(v).\nAnswer: v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5 = -7. Suppose i = -3*p + 22. Suppose 0 = p*k - 2*k - 16. What is the highest common factor of 6 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12149 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*g - 50*g + 396 = 0. Calculate the remainder when 141 is divided by g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -448 times -5\nAnswer: 2240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1022*z**4 + 1022*z**4 - 7*z + 14*z**5 wrt z.\nAnswer: 280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/30 and 103\/10398.\nAnswer: 51990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179161 divided by -2.\nAnswer: 179161\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 464 = 2*h. Let a = -17 - -31. What is the units digit of (-4)\/14 - h\/a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/(-63)*2\/4. Which is the third biggest value? (a) 0.4 (b) -2\/15 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 169 - 82 + 307*g - 87 - 1011*g to the form h + m*g and give m.\nAnswer: -704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 - 8*v**2 + 23*v**2.\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1234419 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.58 + -7.18. Let j = -0.1 + 0.2. Let m = j - 0. Which is the nearest to m? (a) -5 (b) 1\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -10, -3182 = 4*z + 7*v - 8*v. Let c = 826 + z. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + j**2 + 5)*(-14 - 10*j + 14)*(j**2 - 9 - 2*j**2 - 4).\nAnswer: 10*j**5 + 130*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 946 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 305452312 (base 6) to base 4\nAnswer: 110100130310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 14866*d + 2. Let p be c(-4). Let h = -195023 + 78561. Let s = h - p. What is s rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16007 * -24.76\nAnswer: 3.9633332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16632 and 37114?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*s**3 - 13*s**2 + 10*s + 32871 wrt s?\nAnswer: -57*s**2 - 26*s + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 1, 0.2, -1\/44?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3736 and 6538.\nAnswer: 26152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185787?\nAnswer: 3, 7, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfj when three letters picked without replacement from jfqjffqfffffdffj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 284 - 1985\/7. Is -1 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -2\/15 (c) -0.067\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w + 2. Let h(m) = -3*m + 3. Let r = 24 + -17. Determine r*y(x) - 4*h(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 3:54 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8204969ng to milligrams.\nAnswer: 0.0000008204969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 233851044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -116 - -25325?\nAnswer: 25207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10941017, -21882005, -32822993?\nAnswer: -43763981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6093909 divided by -9\nAnswer: -677101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -7 - (8\/(-10) - 923\/65)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d. Let p(a) = 13*a**2. Give c(p(f)).\nAnswer: -26*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1.598*-0.3\nAnswer: -0.4794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68965 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 9*z**2 + 6*z - 7. Let h be o(-8). Let r(c) = -c**3 + 6*c**2 + 15*c + 11. Let l be r(8). Let u = 1 + l. Solve u*g - 7 - h = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 59*a + 2*a**5 - 1\/6*a**4 + 49\/6*a**3 + 0 + 0*a**2. What is the second derivative of k(t) wrt t?\nAnswer: 240*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 116*y**2 + 1427*y - 47. Calculate m(-14).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 13. Let d be m(10). Let i = d - 13. Find the common denominator of -15\/8 and (-305)\/i*2\/(-20).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -23, -50, -101, -182, -299, -458, -665?\n\"Answer: -r**3 - 6*r**2 - 2*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(108) - (-1 + sqrt(18)\/sqrt(6)) - (-1 + sqrt(54)\/sqrt(2) + sqrt(27))**2*4.\nAnswer: -435 + 29*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35942, -71878, -107814?\nAnswer: -143750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66576 and 41610.\nAnswer: 332880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 74*m + 152. Let v be t(-2). Solve 16 = -6*o + v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277596486 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 58\/5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i - 2*d = -21*i - 4*d + 7*d - 52, 0 = 5*i - 5*d - 165 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3101, -11769, -26223, -46469, -72513, -104361?\nAnswer: -142019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2\/125 of a centimeter?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*-3.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/137 < -8\/147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 11:56 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39.2 + 39.1. Let r = 3 + -5. Put 1\/2, r, t in ascending order.\nAnswer: r, t, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 989750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmpm when four letters picked without replacement from symmypkp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + sqrt(104) + -3*(-5*sqrt(104) - sqrt(104)))\/(sqrt(8) + sqrt(968)*3).\nAnswer: 10*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542482 is divided by 6382.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 - 43*q + 24. Let s be c(-22). Let r(i) = -3*i + 21. Let l(f) = -7*f + 41. Let o(n) = s*l(n) - 5*r(n). Give o(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k - 52. Let u be n(-9). Suppose 6*f = 4*f - 24. What is the tens digit of (425\/u)\/(2\/f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 548*y = -754*y + 133675 + 3035 for y.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.2 - -5.1. Which is the nearest to -0.02? (a) 0.1 (b) j (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 432 - 211042301?\nAnswer: -211041314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1624519, -1624508, -1624497?\n\"Answer: 11*d - 1624530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -18*i**5\/65 - 105*i**4\/26 - 722*i**3\/39 - 343*i**2\/13 - 12*i + 1397. Determine z, given that a(z) = 0.\nAnswer: -6, -13\/3, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 n when three letters picked without replacement from {n: 6, d: 12}.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27834, 110848, 249198, 442884?\n\"Answer: 27668*s**2 + 10*s + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 20223?\nAnswer: 20231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + (-4*(-1*sqrt(325)*2 + sqrt(325) - sqrt(325) - (-1 + sqrt(325))*-6)*-5)**2*-4.\nAnswer: -8377599 + 384000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -155, 1\/4, -0.5, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o + 45 = 0. Suppose -4*k + 0*k + 116 = 0. Calculate the remainder when k is divided by ((-4)\/(-6))\/(1\/o).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-4)\/(-18) + (-30 - (-11983)\/414))*-17274 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 62 and 11709.\nAnswer: 11771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1131636*m**4 + 68*m**2 - 2057*m?\nAnswer: 27159264*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -94\/505465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 258 and 2489224.\nAnswer: 321109896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59733?\nAnswer: 3, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 957*h**4 - 2480*h**2 - 12852847?\nAnswer: 3828*h**3 - 4960*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 9:30 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*r - 52*r - 3123 = 0. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12567568 and 76590?\nAnswer: 565540560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, q: 1, v: 1, x: 2, f: 1, c: 1}. Give prob of sequence qhh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1853422 decades in millennia?\nAnswer: 0.001853422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(210\/9)*2. What is the fourth smallest value in -5\/2, c, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.892*0.5.\nAnswer: -0.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = -3*h - 50. Suppose 3*a = -h*x + 13, -12*a = -x - 9*a - 1. Solve 5*z - x*z - 15 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 0*5\/15. Suppose -3*q = 3*r + r - 37, -4*q + s*r = -41. Calculate the greatest common factor of 77 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -583*h**3 - 5922*h wrt h.\nAnswer: -3498*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 168 - -18\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*b**3 + 9*b**3 - 4*b**3)*(5*b + 2*b - 4*b) to the form q*b**2 + p*b**3 + n*b**4 + o*b + c and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**5\/20 + u**3\/3 - u**2 - 2. Let l(p) be the second derivative of h(p). What is the derivative of l(y) wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 659 - 509 = 30*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 = -5*a - k, 42 = a + k - 52. Let z be (-1)\/(-5) - 7\/(70\/a). Let f be z\/9 + 3 + 0. Solve 0 = -4*l + f*l + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2)*m)**(-44)*m**(2\/31)\/((m\/(m\/(m\/(m**(1\/9)*m))))\/m) assuming m is positive.\nAnswer: m**(-18086\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 11 + 2 = 0. What is the remainder when (0 - x)*(1 - -2) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -2*m**3\/7 - 16*m**2\/7 + 24*m\/7 - 404. Determine n, given that y(n) = 0.\nAnswer: -6, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6) - 9768\/(-99). Calculate the greatest common divisor of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/27*-5*72\/1020*-17.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, o: 2, f: 11}. What is prob of picking 2 f?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (6 + -13 + -13).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/15)\/(84\/(-210)). Let q = 2 - 1.5. Sort 0.3, x, q in descending order.\nAnswer: x, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efeeeebfeefeeeeeeebe. What is prob of picking 2 b?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from tgzni.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 150777.\nAnswer: -16\/150777","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-12)\/(-16))\/(-1))\/((-2)\/8). Let w(d) be the first derivative of -3*d + 9\/4*d**2 - 3\/8*d**4 + 0*d**j + 1. Factor w(a).\nAnswer: -3*(a - 1)**2*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*175\/800*-4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153 divided by -3414.\nAnswer: -51\/1138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 29038\/7375 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 814*r - 695*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-3\/7))*j)\/(j**(5\/3)*j))**8 assuming j is positive.\nAnswer: j**(-352\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**7\/21 + 7*z**3\/6 + 5*z. Find the second derivative of s(n) wrt n.\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnll when four letters picked without replacement from nllllllnlllllnnlllll?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 507426 to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1463*n - 1124*n - 1205*n - 22*n)*(-7*n**4 - 7*n**4 + 3*n**4).\nAnswer: 41954*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152296.\nAnswer: 2, 19037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, k: 13, y: 1}. Give prob of sequence kb.\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + v + 2 - 0, -3*k = -4*v + 10. Find the third derivative of 30*g**3 + 20*g**4 + 7*g**3 - k*g**4 + 39*g**2 - 16*g**4 wrt g.\nAnswer: 48*g + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (-2 + 6))*(-2 - -1). Suppose 33 = 3*a + 2*r - h*r, -3*r - 45 = -4*a. Calculate the lowest common multiple of 176 and a.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16807589 equal to -16807592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 45 times -1182\nAnswer: -53190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3134 - -4390. List the prime factors of d.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -13*g - 7. Let y(a) = 9*a + 5. Let i(q) = -5*m(q) - 7*y(q). Let t(d) = -3*d**2. What is t(i(b))?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 divided by 773915?\nAnswer: -76\/773915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 9*g - 5*g + 13*g - 26*g.\nAnswer: -27*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -21 + -2 + 82 + -70\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.0265 (b) -1\/7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 108. Calculate s(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 2773308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c*i*u**2 - 2*c*i*u - 26*c*i + 354*c*u + 6419*c - 14737*i + 3*u**2 wrt i?\nAnswer: -c*u**2 - 2*c*u - 26*c - 14737","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 316354 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 2:48 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 691 + -688. Suppose 5*i - 72 = 2*i. What is the greatest common factor of m and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w. Let p(l) = 6*l - 21*l - 68 + 12*l. Let u(n) = -5*n - 101. Let a(v) = -8*p(v) + 5*u(v). What is c(a(q))?\nAnswer: -2*q + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11362?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.45 - 0.73. Let r = h - 30.72. Let p = r - -31. What is the second smallest value in -1\/4, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-351)\/(-18)*2\/3. What is the highest common divisor of t and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26) + (sqrt(26) - (sqrt(208) - (sqrt(208) + sqrt(208)*1))\/sqrt(8)))\/sqrt(2))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -10. Let h(r) be the second derivative of 2*r**3\/3 + 2*r**2 + 8*r. Let s be h(7). What is the highest common divisor of n and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 7*m + 23. Let d be t(8). Let n(a) = 14*a**2 + a. Let k be n(1). Calculate the greatest common divisor of k and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -847 or -51.02?\nAnswer: -847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lffpyfwfvfffpfl. Give prob of sequence yfv.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven fifths of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11221 and 1202565.\nAnswer: 1927711695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6052 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j**2 - 6*j. Let q(g) be the second derivative of g**4\/6 + 39*g. Give q(n(t)).\nAnswer: 98*t**4 - 168*t**3 + 72*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*n + 9*n + 492. Let u be (-48)\/(-1*(3 - 2)). Suppose -w + u = 4*x - 44, -2*x = w - n. What is the highest common divisor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r**17)\/r*r*r)\/(r*r*r**16) assuming r is positive.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*f - 22 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(2*r + 3 - 3*r - r) - 3*r + r + 5*r.\nAnswer: 5*r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*j + 101*j = -132. Suppose -2*o + 3*o - 10 = 0. What is the least common multiple of j and o?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13597, -27184, -40761, -54322, -67861, -81372, -94849?\n\"Answer: y**3 - y**2 - 13591*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 557753 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 786289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 3*r, -2*r + 6 = -n + 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + 0 + ((sqrt(396) - (sqrt(396)*-1 + -5 + sqrt(396))) + sqrt(396) + 2 + sqrt(396)*-1)**2).\nAnswer: 420*sqrt(11) + 2215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 - 6*z - 2*z**2 + 6*z in the form b*z**2 + n + h*z and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 90, 867, 2968, 7053, 13782, 23815, 37812?\n\"Answer: 110*h**3 + 2*h**2 + h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 13 = 3*x, 2*t = -3*x + 12 - 2. Suppose -9*d + 305 = -x*d. Calculate the remainder when d is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 1472 = -114*t, -10*m - 6*m + 15*m + 0*m - 2*t = 21 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22922\/3 or 7641?\nAnswer: 22922\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence my when two letters picked without replacement from umkkumylkkkklu.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29.2 + 29.637. Round o to two dps.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 472, 688, 990, 1426, 2044, 2892, 4018?\n\"Answer: 8*s**3 - 5*s**2 + 175*s + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156\/156)\/((((-9)\/12)\/(-3))\/(22\/4180)).\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**3\/3 + 27*a**2 - 85. Let c(g) = g**2. What is c(b(m))?\nAnswer: m**4 + 108*m**3 + 2916*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 9:30 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4, 5*c = 5*s - 447 + 3652. Let z = -633 + c. What is the highest common divisor of 1236 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, -4 in decreasing order.\nAnswer: 8, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*i + 1\/3*i**3 + 0 + 2\/3*i**2.\nAnswer: i*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -8*p**3 + 5*p - 20. Let v(c) be the second derivative of 3*c**5\/20 - c**3\/3 + 7*c**2\/2 - 66*c - 2. What is 11*v(g) + 4*z(g)?\nAnswer: g**3 - 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*v**5 + 28377562*v**4 - 478539488*v**2?\nAnswer: -1080*v**2 + 681061488*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evvy when four letters picked without replacement from hvhhhyyhhhhhyhhhhev.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w + w + (3 + 0 - 1)*(-2*w + 4*w - w))*(-65 - 156 - 525).\nAnswer: -746*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -2, -0.54 in decreasing order.\nAnswer: -1\/6, -0.54, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8)\/c**(4\/9))\/(((c\/c**(-1\/2))\/c)\/(c*c*c*(c\/(c*(c**(-2\/5)\/c)\/c*c))\/c*c*c)) assuming c is positive.\nAnswer: c**(-319\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -10*q**2 - 5*q - 44. What is k(-8)?\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/(-20))\/2)\/(24\/(-45)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49\/2 - 24. Let t(p) be the second derivative of -l*p**2 + 3\/10*p**5 - 1\/3*p**3 + 0 + 0*p**4 + 2*p. Calculate t(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*x + 8, -5*p - x + 20 = -0*x. Suppose -p*d = -n + 57, 0*d - 3*d - 34 = n. Which is the second smallest value? (a) d (b) -2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3\/3 + 130*m**2\/3 - 648*m + 2184 = 0 for m.\nAnswer: -78, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = a - 4*r, -5*a = 55*r - 52*r - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**3 - 2*h**2 + 2*h**3 + 0*h**2 + 2*h**3.\nAnswer: -2*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -53476*n - 106964. Give a(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-7) + 414\/21. Suppose -3*m - 2*z - 33 = -3, d = -2*m - 4*z. What is the common denominator of 24 - (m\/4 - -3) and 48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21265 + -20939. Solve -d*w + 331*w = -25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2975019287 minus -0.22?\nAnswer: 2.5175019287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9 less than 2111.338843?\nAnswer: 2105.438843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 12 - 26 = -5*i, 0 = -3*u + 2*i - 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11840519, 11840585, 11840649, 11840711?\n\"Answer: -t**2 + 69*t + 11840451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/8 and 137\/198?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -367845 divided by 5?\nAnswer: -73569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 11) to base 3.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -242 + 264. Suppose z - 3*m - v = 0, 6*m = -5*z + 4*m + 76. Solve 10*g = z*g - 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1 + -0.4. Let b = l - 0.4. Let r be ((-1)\/(-3))\/(14\/18). Sort r, 3, b in decreasing order.\nAnswer: 3, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzkkxzxxxxxz. What is prob of sequence zkz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11.1 from -2.7872499.\nAnswer: -13.8872499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/144279 and 55\/5274.\nAnswer: 84547494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -11*y**2 - 3*y - 1. Let u(w) = -44*w**2 - 11*w - 3. Calculate -22*a(i) + 6*u(i).\nAnswer: -22*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 12:13 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**5\/60 - 2*p**2 - 43*p + 31. Let h(l) = 10*l**2 + 3. What is h(r) - 5*q(r)?\nAnswer: 5*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57777 - 7453300\/129. What is the common denominator of -64\/21 and k?\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17425 and 7667.\nAnswer: 191675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 609270 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -101004303 (base 6) in base 16?\nAnswer: -1a5b0f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -m - 15. Let i(l) = -l**3 + 2*l**2 - 7*l - 4. Is i(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 524, 4, -0.5, -5, -0.2 in ascending order.\nAnswer: -5, -0.5, -0.2, -0.03, 4, 524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 4 - (10 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 - 105447*p - 3585487\/2.\nAnswer: (p - 210911)*(p + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30.502 and 168.\nAnswer: -5124.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*d + 4. Let o = -2 + d. Suppose 4*z - 4*y = 12, -2*z - 3*y = -72 + 76. Sort -6, o, z, 3 in increasing order.\nAnswer: -6, z, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3108753231?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + p. Let k = -22 + 10. Let i be (0 + -3)*(-4)\/k. Let f(b) = 6*b**2 + 2*b. Let t(c) = i*f(c) + 4*q(c). Find the second derivative of t(h) wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/2)\/(1\/((-5)\/((-5)\/2))). Let n = 5 - 5.3. What is the third biggest value in 4, n, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000437455 to 6 decimal places.\nAnswer: -0.000437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12404, -24807, -37208, -49607, -62004?\n\"Answer: c**2 - 12406*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12794 is divided by 178.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 85053, 85052, 85051?\n\"Answer: -z + 85054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 208189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + 0)\/(2 - (-1 - -2)). Suppose -2*x - 3*z + 73 = -x, -c*x + 301 = -z. Suppose 7 = 4*o - x. What is the least common multiple of 7 and o?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -7.7, -1\/4, -6\/215, -4, -89?\nAnswer: -6\/215","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, w: 3, h: 2, f: 7}. Give prob of sequence ddwd.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/903 and 93\/37066.\nAnswer: 778386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -230542 or -230537?\nAnswer: -230537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*148\/64 - 2\/8. Let k be (-2 - n\/21) + 3. Let d = 41\/5 - 8. What is the nearest to -1 in k, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2100096544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/8)*z**0)**43*(z**5\/(z\/(z*z*z**(3\/2)*z*z*z)))\/(z**0)**(-4\/3) assuming z is positive.\nAnswer: z**(213\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/25425 and -67\/2145.\nAnswer: 3635775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 300140811 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*u - 118*u - 204 = 0. Find the first derivative of u*j**4 - 47*j**4 - j + j + 111 + 3*j**4 wrt j.\nAnswer: 640*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 50\/30 + 4\/3. Suppose -2*m - 2*u + 0 = -2, -4*m + 8 = l*u. Solve -8 = m*b + 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 7*a - 8. Let p be j(5). Factor 1\/5*i**p + 0 + 1\/5*i.\nAnswer: i*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**7\/42 + 1157*r**5\/20 + 239*r**3 - 1496*r. Find the second derivative of v(t) wrt t.\nAnswer: 20*t**3 + 6942*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, -0.09, -382, 1\/3, 18?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 27 (c) 3 (d) 0.194 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/2*(-76 + -1). Let q = c + 142. Calculate the greatest common divisor of 26 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3034 (base 6) in base 9?\nAnswer: -824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/10400 and 47\/4017575?\nAnswer: 1671311200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -1827*l - 1796. Determine z(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 27*m - 120. Does 51 divide g(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -4. Factor 2*g**d + 10*g**3 - 5*g**3 + g**5 - 4*g**3.\nAnswer: g**3*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -23*r**2\/3 + 1893*r = 0. Calculate r.\nAnswer: 0, 5679\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8413969l in millilitres?\nAnswer: 841.3969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - -14 - (2 + -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(17) + (sqrt(17) - sqrt(17)*-2)**2) - (-2 + (sqrt(68)\/sqrt(4) - sqrt(17))**2).\nAnswer: -151 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*q = 48*q + 336. Solve 0 = -13*m + 20*m + q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/4, 4\/61, -2\/11, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21138, -13266, -146, 18222, 41838?\nAnswer: 70702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.036 - 21.036. Let o = m - -31. Let q(u) = u - 9. Let a be q(9). Which is bigger: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14068*o**5 + 152637*o**2 wrt o.\nAnswer: 844080*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 0*n + n)*(-11*n + 16*n**2 + 11*n) + 7*n**3 - n**3 + 2*n**3.\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32754 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1 + -2 + 252 + -257 + (0 - 47).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 80638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 7*c - 2949. Let u be j(58). Solve -154 + 199 = u*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 879100 and 22350.\nAnswer: 2637300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -30 - -27 - (4 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89955 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2463.60483 times 9?\nAnswer: -22172.44347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = 5*d, 3*q = d + 5. Let t(z) be the second derivative of 0 + 0*z**q + 1\/6*z**3 - 2*z. Let n(r) = -r. Determine t(n(s)).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 2\/11 (c) 1\/9 (d) 11 (e) -2249\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 35*k - 313. Let w be f(9). What is the greatest common divisor of 6 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5437*t - 102 = -5435*t + 10870*t for t.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 369012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*q**3 - 114*q**3 - 39*q**3 + 8*q**3.\nAnswer: -204*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -525.642.\nAnswer: -520.642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016180715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 739*d - 743*d - 5*w + 47, -3*w + 21 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71200997 + 71200997 - 4*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/11)\/t*t**38)\/(t*t**(-33)*(t\/t**(-4\/15))\/t) assuming t is positive.\nAnswer: t**(11401\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(18\/(-20)))\/((-25)\/(-36)*6886\/24101).\nAnswer: 84\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45179917.\nAnswer: 45179917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, z: 3, x: 6, w: 2, l: 1}. What is prob of sequence ixiw?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(125) - (2*sqrt(125) + sqrt(125)))*-1 + -1*sqrt(125) + 1 + (sqrt(100)\/sqrt(4)*1)\/(sqrt(20)\/sqrt(16)).\nAnswer: -1 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/85 (b) 1 (c) -2\/5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**5\/20 + p**4\/3 + p**3\/6 - 2*p**2 - 15*p. Calculate the remainder when 15 is divided by f(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2346556 + -3?\nAnswer: -2346562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.21499421 to 2 decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**6\/160 + b**5\/16 - b**4\/4 + b**3\/2 - 22*b**2. Factor o(a).\nAnswer: -3*(a - 2)**2*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*i - 6 = -3, 3*b + 1 = -i. Solve -3*y + 3 + 0 = b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*d**2 + 391*d**3 + 15*d**2 - 387*d**3.\nAnswer: 4*d**3 + 33*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t + 23. Let h be s(8). Let p be h*3*10\/(-165). Let l = 0.29 + 0.11. Which is the closest to -3? (a) l (b) p (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 60, 121, 182, 243?\n\"Answer: 61*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*((-5)\/60)\/((-4)\/(-8)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3) - 104\/(-12). Let r = h - -1. Let j be 2\/((-2)\/7)*-10. Calculate the highest common factor of j and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*i = -74*i - 40 + 196 for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 253 + 48. Let a be 2 - (-20)\/(-9) - 1600\/90. Let z = v - a. What are the prime factors of z?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -223095, -446199, -669303, -892407, -1115511, -1338615?\nAnswer: -1561719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 8:53 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 932568105 to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.849626 + -2.8949. What is m rounded to three decimal places?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5276, -5281, -5284, -5285, -5284, -5281?\nAnswer: -5276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 34\/14 + 4\/(-28)*-4. Let m(j) = 4*j - f*j - j + j. Let u(g) = -4*g - 11. Calculate u(m(k)).\nAnswer: -4*k - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*x - 3*x - 13 = 0, x = -1. Suppose q = 4*p, b - 5*p - 10 = -4*b. Suppose -b = 3*v - 24. Calculate the remainder when 13 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - t. Let d(m) be the first derivative of -2*m**3 + m**2\/2 - 2*m - 13. Let c(j) = d(j) + 5*h(j). Calculate c(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 2*k = 2*k - 68. Let y(s) be the second derivative of s**3\/6 + 7*s**2 + 18*s. What is y(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/17 (b) 0.5 (c) 0.3 (d) -31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2 + m**2 - 5 + 3*m**3 - 2*m**3. Let v = 33 + -35. Let c be 0\/(-3 + v\/(-1)). Calculate k(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 7*r - 6. Let l be q(5). Suppose l*v = -7 + 31. Solve 2*c - v = -0*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2 + 119836*l - 5874365 = 0. Calculate l.\nAnswer: -119885, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnn when three letters picked without replacement from nrnrrnrrbbnrrnbr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 86113 (c) 1\/4 (d) -1\/16 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttddiddtidtitdt. What is prob of picking 3 t?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8757\/3753*(108\/(-105))\/(-3)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v + 3*u + 200 = 16*v, -u + 1 = 0. Does 30 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1.9. Let r be (-2)\/6 - (-2 + (-76)\/(-24)). Which is the third smallest value? (a) -2 (b) r (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106869, -213732, -320609, -427506, -534429?\nAnswer: -641384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 3, -10 in descending order.\nAnswer: 5, 3, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 2*z**2 - 4*z. Let x = 420 + -417. Give i(x).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.5 + -17. What is the third smallest value in 0.4, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44710 divided by -263?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 4)\/((-540)\/(-40)). What is the second smallest value in v, -1, 0, 4\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 0) + (9 - (20 - 18) - -30)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 183 + -77. Suppose -5*x - 24 = y. Which is smaller: 2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1644 - -1640. Let s(g) = -3 + 0 + 2 - 2 + g. Calculate s(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Let u be (0 + (-4)\/(-6))\/((-1)\/(-6)). Which is the second biggest value? (a) 0.4 (b) u (c) w (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 12:26 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1172 at most as big as -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.01 + -5. Let t = -0.03 - v. What is t rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72730\/(-1039)*48\/42.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -20*j**3 + j**2 - 2*j - 3. What is g(-2)?\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1224999 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4411 + 5383. What is the greatest common divisor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -18cb03?\nAnswer: -18cb05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 3)*(0 + 3 - 1)*(-4*p + 4*p - 1 + p).\nAnswer: -6*p + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2058 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.3259.\nAnswer: -0.16295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 6:43 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 2.1741?\nAnswer: -6.1741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1077162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84.3 - 3.7. Let x = -88.1 - b. Let f be 2*(-7)\/(42\/15). What is the nearest to 1\/9 in f, x, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5816506 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12*(-2)\/12*-2. Let z(x) = 48*x - 1. Is z(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 180904*s**3*v + 6*s**2*v - 20312*s wrt s.\nAnswer: 1085424*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 47?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 256739 - 256724.0011. Let v = 15 - z. Round v to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63928 plus 300468.5?\nAnswer: 236540.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 16d39?\nAnswer: 16d36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*f**2 + 21*f**2 - 82*f + 3*f**4 + 80*f)*(3 + 1 - 1).\nAnswer: 9*f**4 - 21*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + 0*l**2 + 2*l**2)*(3 - 2 + 1) + 6*l**2 - 8*l**2 - l**2 + 4*l + 2*l**2 - 4*l + (-2 + 2 + l**2)*(4 - 2 + 0).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1 + sqrt(1100))**2 + sqrt(1100) + 0).\nAnswer: -3303 - 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*(4 + sqrt(192))*-2*5)*-6.\nAnswer: 1212 + 2400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12102 + -33333200?\nAnswer: -100011302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 17*k + 24*k + 11*k**2 - 41*k to the form c*k**2 + b + g*k and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9718, 38562, 86628, 153910, 240402?\n\"Answer: -d**3 + 9617*d**2 + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3989 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/3, -4362, 8.\nAnswer: -4362, -1\/3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*f + 42 = 120*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 47 + 49 - g + 3*g + 4*g**2. Calculate j(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, 5\/4, 0.009?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 23. Suppose -5*b = -g - 125. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*k**2 + 40*k**2 - 7*k**4 + (-k**2 + k**2 + k**3)*(-2*k - k + 5*k) in the form o + s*k**3 + l*k + m*k**4 + v*k**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*sqrt(1100)*2 - sqrt(1100)) + (sqrt(1100) + 1)*4)*-5.\nAnswer: 80 + 200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 383543.2815 - -1261\nAnswer: 384804.2815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 3:41 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52.56 + -57.154. Let k = d + -0.106. Let z = k + 4.7000215. Round z to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-6\/5)*v\/((v*v**1)\/v))\/(v**(-3))**(-4\/11) assuming v is positive.\nAnswer: v**(-71\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-12))\/(10\/(-180))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 2*o + 12. Suppose -x + 67 = 70. Let k be w(x). Let p = -211 - -216. Put p, k, -1 in ascending order.\nAnswer: k, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8649577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-84)\/(-98))\/((-80)\/(-150766)). Let x = -6421\/4 + j. Let t = 16937 - 372701\/22. Find the common denominator of t and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -2\/708795113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4006958 is divided by 3666.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 572402 and 834.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (484\/(-132))\/(0 - (-1)\/(-3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3662081 + 33.36741.\nAnswer: -3662047.63259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**3 - 2*d**2 + 2*d - 2. Let m = 6982 - 6984. Let h(b) = 4 - 4*b**3 + 1 - 3*b + 3*b**2 - 2 + b. Give m*h(o) - 3*f(o).\nAnswer: -7*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4\/3)\/(v\/(v*v*v**(-1)*v))*v**5*v*v\/(v\/(v*v**(3\/8)\/v*v)) assuming v is positive.\nAnswer: v**(169\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/10 and 79\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(3 - 1 + 3)*(-2*u**5 - 19*u**4 - 2*u**4 - u**4).\nAnswer: -20*u**5 - 220*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - m + 39 = 0, 0*b + 27 = -2*b + 3*m. Suppose 0*p + 45 = 3*p. Let t = p + b. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 96 - 8*u + 1\/6*u**2.\nAnswer: (u - 24)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 5 - 5 + 3 + 2. What is h(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(133)\/sqrt(7) + -1 + sqrt(19) - sqrt(190)\/(sqrt(40)\/sqrt(4))) + (-6*sqrt(19)*2 + 2 - (-1 + sqrt(76) - (-4 + sqrt(304)))))**2.\nAnswer: 54*sqrt(19) + 1548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 19. Let m be v(0). Let n = m + -6. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28275)\/(-845) + -33 - (-632)\/(-1482))\/((-2)\/6)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104254853.\nAnswer: 149, 699697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5229293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88 - 89.4. Let h = 3.6 - p. Let r(b) = b**2 + 11*b - 14. Let j be r(-12). What is the fourth biggest value in 0.4, h, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from {u: 5, x: 2, g: 5, h: 5}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -8*f + 25. Suppose -44 = f*h + 1. Let j(m) = m**2 + 5*m + 1. Is j(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.3981789 months?\nAnswer: 0.0033181575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -11*k + 35. Does 14 divide d(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6184 and -2.65?\nAnswer: 16387.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 224*g**2 + 918*g**3 - 269*g**3 + 80*g**2 wrt g?\nAnswer: 3894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 471.16 - 471.19. Suppose 4*o - 5*k - 6 = 0, 4*k + 11 = -0*o - 3*o. Let g be (-5)\/(-10)*(5 + o). Put 0.5, f, g in ascending order.\nAnswer: f, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005607 to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y + 6*y**2 - 11*y + y**2 - 43*y**3 + 276*y**3.\nAnswer: 233*y**3 + 7*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 218*r**4 + 285*r**3 + 314226*r wrt r?\nAnswer: 2616*r**2 + 1710*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -147 - -151. Let n = 30 - -12. Let c be (-4)\/(-14) - (459\/n)\/(-9). What is the smallest value in 2, q, -4, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -19*a - 13. Determine c(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -6. Let n = 55 - 50.2. Let v = n - h. Put 4, v, 3\/5 in increasing order.\nAnswer: v, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -8. Suppose 4*u - w + 1 = 0. Let x(k) = -k + 2*k - u*k. Let r(i) = -i. Give x(r(p)).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*3*4\/24. Solve 0 = -2*h - z - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.028.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 637*b**3 - 2*b**2 + b. Let w be t(1). Suppose 3*z + u - w = 0, z + 2*u + 212 = 2*z. Let q = z - 134. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14042 - -10041.\nAnswer: 24083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 11 + 5. Let l be (-4)\/(a\/(-9) + -2). Suppose 5*b - 100 = -5*t, -t - 3*b = -0*t - l. Calculate the greatest common divisor of t and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.418693114 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1392.1 to the nearest 10.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 30, -2, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 76034718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*r**2 - 52*r + 155*r**2 - 79*r**2 in the form t + j*r**2 + k*r and give k.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/4 + 567*g\/2 - 17235\/4.\nAnswer: (g - 15)*(g + 1149)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -30 + 150. Is ((-33379)\/2)\/(12 - (-300)\/o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 820.82715 rounded to one decimal place?\nAnswer: 820.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1674*l - 2*z = -1653*l - 388, 3*l - 4*l - 7*z + 53 = 0 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 10 = 0, 2*v - 4*v - 216 = 4*d. Let y be ((-18)\/15)\/(11\/d). Let m be 2\/(-4) - (-3 - (-15)\/y). Solve -5*k - 18 = -o, o - k + 0*k - 6 = m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*d**2\/7 - 23118*d\/7 + 508.\nAnswer: 2*(d - 889)*(13*d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 64525 (base 7) to base 6\nAnswer: 202134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1118144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**2 - 555*v + 556*v - 120*v**2)*(3 - 2 + 1).\nAnswer: -228*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 9:54 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 6:38 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*y - 4 + 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/(-42))\/((-1)\/7). Suppose -4*h - 2*o = 12, -7*h + 3*h = 4*o + 8. List the prime factors of (d*3)\/4 - h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*10\/(-40))\/(1\/(-3)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*(-22)\/(-4455))\/(58\/87).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 160.94 + 1.68. Let l = y - 163. Round l to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + w**2 - w. Let v be z(-1). Let i(l) = 6*l. Let t be i(v). Let s be 2\/(3 - 14\/t). What is the highest common factor of s and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7552387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1167 and -4.\nAnswer: -4668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*z**3 + 2*z**2 - 273 wrt z.\nAnswer: -39*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + b + 12. Find y such that -y**2 - 2*y**2 + b + 3*y**3 - 3 - 6*y = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 9:22 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-4) + 0)\/((-1)\/(-84)). Suppose 0 = 4*b - 2*h - c, 4*h = -b - 20 + 65. Calculate the greatest common factor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1859 or 1866?\nAnswer: 1859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**5\/20 - 7*b**4\/16 + 9*b**3\/4 - 29*b**2\/8 + 5*b\/2 - 25. Factor q(s).\nAnswer: -(s - 1)**3*(s + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13412227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -39\/3979?\nAnswer: -39\/3979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/67))**(-4)\/(z*z*z\/(z\/((z*z*(z*z\/(z**(2\/23)*z*z)*z*z*z)\/z*z*z)\/z))*z)**(1\/23) assuming z is positive.\nAnswer: z**(-16426\/35443)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + -4 + sqrt(108) + sqrt(108)*1)*4.\nAnswer: -16 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*s + 90*m + 13 = -169*s + 95*m, 2*m = -4*s + 2 + 64 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-70)*3\/(-12)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x - 4372. Let j(t) = -3*t - 13113. Give -3*j(c) + 8*z(c).\nAnswer: c + 4363","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*m = 74*m - 3*w + 9, -m - 4 = -2*w. Sort -6, -53, m in descending order.\nAnswer: m, -6, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1095676 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**3 + 1305*s**2 - 1319*s + 7300. Determine r(434).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 23*t + 2*t + t. Let n(f) = 4*f - 14. Let z(a) = -a**2 - 10*a + 35. Let d(j) = -5*n(j) - 2*z(j). Give d(p(v)).\nAnswer: 1352*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -13011403 (base 5) to base 7\nAnswer: -1032630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/9066 and -77\/36.\nAnswer: 54396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 773.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 3 - 5. Let y(s) be the first derivative of -1\/4*s**4 + 1 + 0*s + 1\/3*s**3 + 0*s**f. What is b in y(b) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*m**3 - 65*m**3 + 7*m**3 + 25*m**3.\nAnswer: -145*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4690956 by 6.\nAnswer: 781826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-40)*r*r*r**13 assuming r is positive.\nAnswer: r**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -292, -665, -1142, -1741, -2480, -3377, -4450?\n\"Answer: -3*d**3 - 34*d**2 - 250*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6)*v**6*v*v\/(v\/v**(-16))*v*v**(-3\/4) assuming v is positive.\nAnswer: v**(-59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59\/86 - 4801\/774. Find the common denominator of g and -71\/597.\nAnswer: 1791","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/1397904 and 65\/324.\nAnswer: 37743408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/13320 and -11\/27.\nAnswer: 39960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*w**4 - 12132*w**3 - 140408*w**2 - 256812*w + 165024 = 0. What is w?\nAnswer: -9, -3, 1\/2, 1528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27011 + 253*p + 27011)*(3*p - 5*p + 3*p)*(-1 - 2 + 4) in the form r*p + q + n*p**2 and give n.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z - 4. Let g = 4 + z. Suppose g*t = 2*k + 6 + 6, 2*k = -2*t + 32. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**2 + 3*n - 7. Let k(y) = -7*y**2 + 6*y - 13. Let p(j) = -5*a(j) + 3*k(j). Let t be p(4). What is the tens digit of t\/3*63\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b**2 + b. Suppose 0 = -4*h - 98 + 94. Give i(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - n + 38, a + n + 2 = -3*n. Let r = 300 - 202. Calculate the greatest common divisor of a and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -912746*v**5 - 9*v**4 - 3*v**3 + 457594501*v**2 wrt v?\nAnswer: -54764760*v**2 - 216*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 29\/9 - 2\/9. Let f = 6 - i. Suppose -2*j - 3*u + 14 = 0, 0*j = -3*j + f*u - 9. Let m(n) = 9*n**3 - n. Give m(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - w + 1. Let j(x) = x**3 + 5*x - 3. Calculate j(d) + 5*u(d).\nAnswer: -4*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132636 is divided by 22086.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 56\/28*(-5)\/2. Let v be 5 - ((-3)\/(r\/4) - 3). Solve 12 = -v*l + l + 2*w, -w = -4*l - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (6 - -4) - (-3 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4)*1\/(-6))\/((-22124)\/66372).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/4 of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1641 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 84209 or 84272?\nAnswer: 84272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 77, -4, 2, 3, 5, 9.\nAnswer: -4, -2, 2, 3, 5, 9, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from rwrwqim.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1564694, -1564695, -1564696?\n\"Answer: -a - 1564693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(0\/(15\/3) + 2). Which is the smallest value? (a) -2\/7 (b) g (c) -0.4 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-218286)\/217200 - 18\/(-16))*-1*5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 11*y**4\/12 - y**3\/3 + 5*y. Let p be t(2). Does 18 divide (-1 + 11)*288\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 85, 726, 2485, 5926, 11613, 20110, 31981, 47790?\n\"Answer: 94*i**3 - 5*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 32*c**4 + 5784*c**3 + 156465*c**2\/2 - 39659*c\/2 + 1245 = 0?\nAnswer: -166, -15, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g = 1680 + 12. What is the lowest common multiple of g and 14?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - l + 8 = 0, 5*j + 16*l = 14*l - 20. Sort 5, -19, j.\nAnswer: -19, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211332110 + -101110?\nAnswer: 211231000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 3086?\nAnswer: 3086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/17120 and -37\/154080?\nAnswer: 154080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 1 - -3)\/1. Suppose -v*n + 4 = 24. Let h = 1 - n. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183709808 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -5)*(-144943173)\/18. Let a = p + 515084095\/16. Let l = a + 16832. Calculate the common denominator of -7\/12 and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*o + 2*n, 16 = -4*n - 4. What is the common denominator of ((-2)\/o)\/(40\/(-3050)) and -18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**0*i*i)**(-9\/8)\/((i*i\/(i**(2\/5)\/i))\/i)**(-49))\/((i**(1\/2)*i**(-4\/9)\/i)\/(i\/(i**(-1)\/i))**(-45)) assuming i is positive.\nAnswer: i**(-21251\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, n: 3, o: 1, e: 1, b: 6, j: 2}. Give prob of sequence nod.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 + -11)*4\/(-3). Suppose 4*s = -20, 15 + m = -3*v - s. Let x(i) = -i**3 - 6*i**2 - i + 2. What is the lowest common multiple of 2 and x(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 42\/9 - 2 - 2. What is the third smallest value in 0.3, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*54\/(-1440))\/(1\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and -3711 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -7*z**5 - 5*z**4 + 9*z**3 + 5*z**2 - 2*z = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from dqrasssqaarrdreq.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.042, 10, 3.05 in increasing order.\nAnswer: 0.042, 1, 3.05, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 0*j**5 + 2 + 0*j**2 + 0*j + 2\/3*j**6 - 2\/3*j**3 + 0*j**4. What is the third derivative of t(i) wrt i?\nAnswer: 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -5 - (-8 - -19)) + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107299993 is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {p: 11, a: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 553 - 545. Let w(r) be the third derivative of 0*r**4 - j*r**2 + 5\/6*r**3 + 0 + 1\/15*r**5 + 0*r. What is the first derivative of w(u) wrt u?\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from sjnnxfjsnwjws?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 779 - 485. Suppose u = 19*o - 48. Let w = 0 + 14. What is the lowest common multiple of w and o?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/7798056 and 73\/36296?\nAnswer: 101374728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 288257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 21*s**2 - 2*s + 40. Suppose -12 = 2*w - 54. Let i be v(w). Which is smaller: -11\/6 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 - 4.08. Let h = -108.3 + 4.3. Let q = -107 - h. Put -5, q, j in descending order.\nAnswer: q, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3726.6117 rounded to the nearest 10?\nAnswer: 3730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at most as big as -116329675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -a02d?\nAnswer: a031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2. Let o(b) be the third derivative of b**6\/360 + 11*b**3 - b**2 - 18*b. Let n(w) be the first derivative of o(w). Give y(n(p)).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sshgsgysygsj. Give prob of sequence sygh.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 4. Let v(u) = u - 3. Let o(x) = -3*b(x) - 4*v(x). Let d(t) = -21*t**2. Calculate d(o(z)).\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 2:41 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 146376 and 4280?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/3 (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23, 28, 33, 38, 43?\n\"Answer: 5*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = -4*m - 64. Let k be (3\/(-4))\/(3 + 0). Is k at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 7:23 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/6)\/(4\/280). What is the highest common factor of 35 and d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-12)*(-1488)\/186*(-33)\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*i + 34, 0*j + 5*i - 4 = -j. Is 439*(j + 4 - -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -45*r - 35. Let n(x) = 5*x + 4. Calculate -4*k(o) - 35*n(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 15*j**2 - 25*j. Suppose -3*i = 5 + 1, 3*t - 2*i + 11 = 0. Let z(g) = -7*g**2 + 12*g. Let b(s) = t*z(s) - 2*v(s). Find n, given that b(n) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 12*z = 20. Suppose 20 = -2*h + 7*h. Suppose h*d - 5*k = -12, 0*d + 3*d = -5*k + 26. Solve -4*f = m + z, -2*m = -4*f + d*f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -426104275, -426104276, -426104277, -426104278, -426104279?\n\"Answer: -s - 426104274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -11*g**3\/2 + 11*g**2\/2 + 8*g - 3. Calculate the smallest common multiple of 12 and d(-1).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 397*c - 409*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 10:56 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-32375)\/(-40))\/35 + (12\/(-32))\/3. What is the second biggest value in 2\/3, -2, d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 56\/5 + 186\/5*u**2 - 12*u**4 - 34\/5*u**3 + 216\/5*u = 0.\nAnswer: -7\/6, -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-127 - -134) + 0 + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8716837 to the power of 1\/2, to the nearest integer?\nAnswer: 2952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8 + 264\/7)*(-42)\/(-12) is divided by 57?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4283512?\nAnswer: 2, 19, 28181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 427 divided by 3\nAnswer: 427\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 8*t**2 - 8*t - 2. Suppose 5*k + 4*a - 22 = 0, 3*a = -2*k - 9 + 22. Suppose 5*o = 2*n + 39, 8*o = 4*o - k*n + 24. Calculate w(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.11. Suppose 5*z - 3*g = 318, 25*z + 312 = 30*z + 3*g. Let h = 66 - z. Sort h, y, -1.\nAnswer: -1, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccqqccuqrcw. Give prob of picking 1 u and 1 r.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 714 + -713.7. Let f = -2 + 1.8. Let o = f + 0. Which is the second smallest value? (a) j (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*t - 3 = -113*t. Let v(i) = 5*i + 2. Let u be v(-2). Let s(g) = -g**3 - 8*g**2 - 2*g - 11. Let m be s(u). Put -1, t, m, -4 in increasing order.\nAnswer: -4, -1, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14aa - -1?\nAnswer: 14ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208057.\nAnswer: 208057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/10 of a tonne?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -23.073?\nAnswer: 25.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(9\/4)\/((s*s*s*s**6*s)\/s)*((s*s*s\/(s**(-1)\/s))\/s)\/s**(-8) assuming s is positive.\nAnswer: s**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7109 * -1368.\nAnswer: -9725112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = v + 84 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 0*z**4 + 0*z + 0*z**6 + 0*z**3 + 1\/5*z**5 + 0 + 3*z**2 - 13\/168*z**8 + 0*z**7. What is the third derivative of t(f) wrt f?\nAnswer: -1560*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/276*20\/25. Let a = -2\/759 - y. Let x = 202\/1265 - a. Sort x, 0.2, 5 in descending order.\nAnswer: 5, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31945, -63827, -95695, -127543, -159365, -191155, -222907, -254615?\nAnswer: -286273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 12*v + 23. Let w be x(-2). Which is the closest to 1? (a) w (b) -2\/15 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483187652?\nAnswer: 2, 67, 97, 18587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 69311931 + -2\nAnswer: 69311929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4481 is divided by 279.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*t = 30 - 86, -5*b + 4*t = -140. Solve -b = -2*o - 4*y, 10*o - 7*o - 17 = -y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or 727\/595?\nAnswer: 727\/595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5059 is divided by 5048.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 4, -4, 64, -5, -26 in decreasing order.\nAnswer: 64, 4, 2, -2, -4, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*a**2 - 3*a + 3*a + 0*a + 2*a**2 + 0*a + (-2*a + 0*a + 3*a)*(2 - 2 + 2*a) + a**2 + a**2 - a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 612 and 684?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 40*t**2 + 645*t - 577. Determine x(-17).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1092 - -1094. Solve 11 = -3*f + 8*u - 3*u, 10 = m*f + u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-3 + 10 + -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (306 - 147 + 181 + 3 - 2 - 3 + 1 + 1 + 1 + (-4 + 5 - 2)*(0 + 1 + 1) + 3 - 2 + 0)*(0 + 0 - g)*(-3 - 1 + 3) + 0 + 0 + g in the form u + p*g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 8:04 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -50 (b) 3\/4 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1307 - -2234. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 37*d - 41*d. Let s = d + 38. Let -201*k - 2*k**5 + 201*k + s*k**3 = 0. What is k?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 114.744 - -0.256. Let l = j - 110. Which is the biggest value? (a) l (b) -5 (c) 1 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2907.836091 - 0.1.\nAnswer: -2907.936091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 21 - 9 + (-2 - 2 + 8)*(-3 + 1 + 1))*(g + 2*g**5 - g).\nAnswer: -98*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 504926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - 2*s + 1. Let m(x) = -x**3 + 12*x**2 + 11*x + 6. Let k(r) = 2*g(r) + m(r). Determine k(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -13*f**2 - 2*f - 6. Suppose -8 = -1698*v + 1694*v, c - 2*v + 10 = 0. Let u(x) = -12*x**2 - x - 5. Determine c*u(p) + 5*r(p).\nAnswer: 7*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 76*l + 2*r - 73 - 67 - 312, -18 = -2*l + 3*r for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-14)\/(-21) - (-492)\/(-792))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -65*r - 2077. Let v be k(-32). Sort 0, -1, v, 9 in increasing order.\nAnswer: -1, 0, v, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -638*y - 817*y - 196889 - 9475 = 324*y for y.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 2\/9 (b) -5 (c) 118 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*w + 13. Let r be (-4)\/w + 99\/(-435). Let b = 710\/87 + r. Find the common denominator of -93\/10 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 36*z**2 - 118*z - 41. Give l(-39).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s + 8. Let q(w) = 9*w - 24. Let f(c) = 2*q(c) + 7*z(c). Let a be f(2). Suppose -2*o + 13 = -3*v, -a*o - 5*v + 4 + 1 = 0. Solve o*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 + -6.9. Let t = -3 + 2. Which is the closest to t? (a) -2 (b) d (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*r + 67*r + 668 = 0. Find the second derivative of v**3 + 159*v**2 + 0*v**4 - r*v - 6*v**4 - 159*v**2 wrt v.\nAnswer: -72*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 48*s**2 + 140*s - 221. Let x be w(45). Solve x*p = -4*q + 4, -5*p + p + 8 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7 = -f, 5*f + 0*h - 3*h = 22. Let a be (f - 5) + 1 + 0. Is 474\/9 + a\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 3. Suppose m*l - 60 = 3*l. Suppose 0*o + 2*o = l. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31081?\nAnswer: 31081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -446 + 3128\/7. Let w = -4.7 - 0.3. What is the fourth smallest value in v, 0.1, -1\/5, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 - p. Let n(x) = 243*x**4 - 10*x**2 + 6*x + 798. Let s(b) = -6*i(b) - n(b). Differentiate s(z) wrt z.\nAnswer: -972*z**3 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8064 or -1\/2?\nAnswer: 8064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 120*i**2 + 111*i - 1193. Let p be y(-121). Solve p*d = 16*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-63))\/(6\/(-8))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(352)*-3)\/(sqrt(99) - (sqrt(99)*2 + sqrt(99))).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*x + 25 = 0. Let v be (6\/x)\/(2\/(-15)). Suppose 0 = -v*g + 5*g. Solve n = -g*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3328 and 1931086976.\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10907 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1\/4, -2\/135, 3\/2, -2\/7, -9, 86?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-20))\/(2\/12) - (262 - 241).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*u - 67 + 7 = 0, -4*v - u + 268 = 0. Let f = 285 + -268. What is the greatest common divisor of v and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 24. Sort l, 3, -4, -5 in descending order.\nAnswer: 3, l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 37924\/3 + 30\/45. Suppose 0 = -4*d + 2*z + t, 8695 + 3932 = 4*d - 5*z. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*l + 2, -5*i + 2*l - 6 + 20 = 0. Let g = 8 - i. Differentiate -2*x + 2*x - 3 + x**2 + g wrt x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8*a - 10. Determine y(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53\/2 - -241\/9. What is the common denominator of o and -85\/21?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 864 + -118. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-4) + 2)*-6. Let s be 8\/(-16) + 10\/4. Suppose s*u - u = -5, -4*x - r*u = -153. What is the remainder when x is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (-16 - -6)) + -16 + -3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30350.47 years in centuries?\nAnswer: 303.5047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2 - 22*q + 13. Let j be ((-22)\/66*7*-3)\/(-1). Let t be z(j). Sort 4, t, -4, -2 in decreasing order.\nAnswer: t, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15262776 and -0.6.\nAnswer: -15262776.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -110 - (2 + (-27676)\/1406 + 12\/(-38))\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -14. Calculate the remainder when x is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-28)\/3)\/(-14) + (-8)\/3. Let j = l - -98. What is the remainder when j is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21564398 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*(-6240)\/(-208)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -413332364*r**3 - 384835320*r wrt r?\nAnswer: -2479994184*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 11*w**2 + 9*w - 8. Let h be a(-12). Let v = h + -26. Suppose -v*j - 104 = -3*j. Is j a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 152*p + 73*p - 30 = -73*p, -2*p - 34 = -5*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -1 + -1 + (15 - -17) + -106\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 2:06 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-9)*x)*x)\/x**(-4))\/(x**(-24)*x*x*x*x*x**(-6)*x) assuming x is positive.\nAnswer: x**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - h**2 + 4. Let k be y(0). Suppose -81*r = -68*r - 26. Let d be 4\/14 - 130\/(-35). Solve -d*u = -r*u + k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/5 + (-18)\/(-5). Let r = -59 + 85. Suppose o = y - u + 1, 5*y - r = o. Calculate the remainder when y is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/30 bigger than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*k + 3*k. Solve k = 3*f - 8*f - 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-60)\/(-24))\/(2\/4). Let t be (2\/h)\/(0 - (-36)\/20). Suppose -2\/3*i - t*i**3 - 2\/9 - 2\/3*i**2 = 0. What is i?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -2057.58097819.\nAnswer: -2054.58097819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -21. Suppose 0 = -59*k + 60*k + 24. Let d be (-174)\/k + 6\/u. What is the greatest common factor of d and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 6. Suppose -4*c - h = 0, -i - 8 = -3*i - 4*c. Suppose -f + i = f. What is the greatest common divisor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77136 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1134 divided by -59?\nAnswer: 1134\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -152925 != -155604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*d + 159 = 5*d, -5*v + 225 = -3*d. Calculate the least common multiple of v and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6531 is divided by 297.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/482 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*d + 17 = 0, -2 = -3*y + 4*d + 15. Let g(n) be the first derivative of n**4 - n**3\/3 - n**2\/2 - n - 1. Give g(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/9 - -1. What is the second biggest value in -8, 0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 + 0*v**3 + v**3 + v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 648*g - 646*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 521335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 5 (c) 58 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13\/178 + -3799\/1602. Let f = 226 + -1599\/7. What is the common denominator of c and f?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - -142) + -121 + 112.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1510, -4228, -8236, -13534, -20122, -28000?\n\"Answer: -645*x**2 - 783*x - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61)\/(915\/90) + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -528364 or 27?\nAnswer: -528364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 37.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-27))\/c**(-20) assuming c is positive.\nAnswer: c**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8242484, 8242485, 8242486, 8242487, 8242488, 8242489?\nAnswer: 8242490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**5\/7 - 1926131*x**4\/7 + 17335230*x**3\/7 - 57784156*x**2\/7 + 84750136*x\/7 - 46227360\/7 = 0. What is x?\nAnswer: -1926140, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -14*s**2 + 0 + 0*s**4 - 1\/6*s**6 + 0*s**3 + 0*s - 2\/15*s**5 + 2\/15*s**7. Factor v(m).\nAnswer: 4*m**2*(m - 1)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 74*y + 45. Determine q(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 9:04 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -26203361.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 9*k + 5. Let l be a(-6). Suppose -13*w = -18*w - 3*m - 47, -2*w - 18 = 2*m. Let h = w - l. Solve b + 1 = -2*s, 4*s - h*b - 25 = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**16*r*r**15)\/(r**2)**(-17) assuming r is positive.\nAnswer: r**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 17.9. What is the nearest to 1 in k, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*f**2*g**3*t**2 + 385*f**2*g**2 - f**2*t**3 + 11*f*g**2 + f*t**3 - 466*g**3*t**3 wrt g.\nAnswer: -36*f**2*t**2 - 2796*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 542 - 761. Let r = -219.121 - h. Round r to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16*118\/(3490912\/(-43)).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37309?\nAnswer: 37309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 229787 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, h: 6, e: 1, x: 3, t: 1}. Give prob of picking 2 h and 1 e.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2211001210 (base 3) to base 11.\nAnswer: -38731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-19)*r*r**10)\/(r**(-2\/17)\/r*r\/(r*r**(-19)*r*r)) assuming r is positive.\nAnswer: r**(-389\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 0*b + 1\/4*b**4 + 2 - 1\/2*b**2 + 0*b**3. Let y(z) = -8*z**3 + 6*z. Determine -6*w(n) - y(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 13. Let p(t) = -2*t**2 + 7*t**x + t**2. Let i(c) = 2*c. What is p(i(g))?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6*r**2 - 209*r. Let j(n) = 4*n**2 + 139*n. Give -8*j(s) - 5*x(s).\nAnswer: -2*s**2 - 67*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -156.415211 - 67.1777?\nAnswer: -223.592911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55131\/7579 + -1\/689. Which is the third smallest value? (a) -1 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 477 - 213. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.91 - -0.09. Let d = i - 7.01. Is 0 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2251.4 + -2246.4. What is the biggest value in 1.4, -177, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -18) + 4 + (-23 - (-18 - -10))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4936, -8614, -12292, -15970, -19648, -23326?\n\"Answer: -3678*l - 1258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158465202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2404*o = 1149*o - 54091 - 2757 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 15. Let q(b) = 21*b**2 + 2 - 5 - 20*b**2. Does 6 divide q(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -26*l + 2. Does 18 divide q(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1200 - 990. Is 210 not equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.452 and 3.9543.\nAnswer: -61.1018436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/((-4)\/(-8)*4). Suppose m*p = -7 + 1. Let o be ((-7420000)\/(-21))\/(p\/(-30)). What is o rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*t - 122 = -2*z, -3*z = -t - 179. Let j(q) = z - 3*q - 59. Let a(i) = -14*i. Give a(j(w)).\nAnswer: 42*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 6*d**2 + 3*d - 7. Let t be f(-5). Suppose 0*w = w + 4*g - 16, t*g = -3*w + 21. Solve -3*h - h + w = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4 + 26*s - 41*s**4 + 24 + 41*s**4 - 14 - 367*s**5 wrt s?\nAnswer: -7340*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -92\/3. Let j be 9\/3 - (-1 - 44\/(-11)). Let l be (-2)\/(-1)*(-6)\/20. Which is the third biggest value? (a) l (b) k (c) j (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-nine fifths of a hour?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521667 is divided by 2533?\nAnswer: 2402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + l - 2068*l**2 + 2069*l**2 - 2 - 31*l**3 to the form i + w*l**3 + s*l**2 + b*l and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -3, 1.05, -6, 1\/11, 3\/11, 23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-73)\/18 - (-2)\/(-3) and 0*(-3)\/(-9) + (-156)\/56.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -3)\/(2\/(-6)). Suppose -50 = -k*q - 17. Calculate the highest common divisor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 9 + 3)*(8 - 6 + 9)*(2*m**2 - 6*m**2 + 2*m**2).\nAnswer: 198*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 727453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186, -378, -570?\nAnswer: -762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12167874473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 + (-38)\/((-6688)\/2032) - 4.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3. Suppose 0*s - s - 5 = r. Let t(y) be the second derivative of y**4\/12 + 5*y**3\/6 - 15*y. Determine t(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/7 - 12\/42. Suppose -u + 4*u - 5 = 4*y, -w*u + 4*y = -2. What is the third derivative of -2*j**4 + 3*j**2 + u*j**2 - 3*j**2 wrt j?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, i: 1, t: 7, l: 8}. What is prob of picking 1 i and 1 l?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + 15)\/(1 + 0 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8428.756 milligrams?\nAnswer: 0.000008428756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 6.9872554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-8)\/12*3)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}