diff --git "a/data/dm_maths/full_data_2/1263_11255.jsonl" "b/data/dm_maths/full_data_2/1263_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1263_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify sqrt(91)\/(-1*sqrt(112)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.05 and -11.8.\nAnswer: -11.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b**2 - 264*b - 1986. Calculate i(-8).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 + -91. Factor -3*h**4 + 16*h**3 - 22*h**r + 0*h**2 + 0*h**2.\nAnswer: -3*h**3*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 105*c*f**3*p*y**2 + 427600*c*f*p - 6*f**3*p*y - 47*f**3*y**2 - 561*f**2*p*y**2 - 71*f**2*p + 2*p*y**2 wrt c?\nAnswer: 105*f**3*p*y**2 + 427600*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)*3 - sqrt(10))\/((sqrt(60)*3 - sqrt(60))\/sqrt(12)).\nAnswer: 11*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 6:53 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 6*l**2 + 8*l - 5. Let i be a(-4). Let y be i + (7 - (-4 - -8)). Let x be 3\/y*(5 + -3). Let b(f) = -f**2 - f - 1. Calculate b(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f + 11. Let g be w(7). Let i = g - 41. Suppose 3*x + 6 = 0, -5*p + i*x + 123 = -142. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p - 2*b - 10 = 0, 4*p + b = 4. Let i(n) = 559998*n + 4. Let k be i(p). What is k rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 5*i**4\/24 - 19*i**2. Let n(c) = c**3 + 4*c**2 - 7*c - 7. Let t be n(-5). Let d(w) = 5*w + 0*w - t*w. What is g(d(r))?\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12505 (base 12) to base 8.\nAnswer: -60525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019785 to 4 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 358139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 27, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39 - 16\/(-40)*-5. Which is greater: m or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 3)*6\/(-54). Let k = -3.2 - -1.9. Put -1\/2, k, a, -5 in ascending order.\nAnswer: -5, k, -1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*(u*u**(-1\/4)*u)\/u))**(3\/7)*((u**2*u)\/u)\/u**(-4\/5))\/((u**(2\/15)*u**(3\/5))\/(u\/u**0)**(1\/5)) assuming u is positive.\nAnswer: u**(817\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from {b: 2, e: 4, c: 1, n: 2, t: 6}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-51 + 2 + 3. Let o = 107 + n. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-16 - -61) - (1 + -1 + -4 - -5)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 at most as big as -4\/285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/7)*(j\/(j\/(j*j*j**2\/j*j*j*j)))\/j*j*j**(-4)*j**(-2)*((j\/(j\/(j*j\/(j*(j*j**(-1)\/j)\/j))*j))**(-29))**(2\/13) assuming j is positive.\nAnswer: j**(-825\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/16*((-11000)\/(-55))\/50.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + (-41 - (21 - 20))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2885 - -2887. Which is the nearest to v? (a) 3 (b) -3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -1297, -3128, -5691?\nAnswer: -8986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044941.\nAnswer: 1044941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31916 = 2*w + 12324. Round w to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 436361234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(12) + sqrt(300))*-5 + (-2*sqrt(2178) + sqrt(2178) - sqrt(2178))\/sqrt(9).\nAnswer: -137*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2277 - -86e?\nAnswer: 2ae6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6*i = 364. Let a = 1 - 1. Suppose 35 = 3*y - 4*w, w + a*w - 1 = 0. What is the greatest common divisor of y and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -292216.\nAnswer: -1\/292216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(228\/75 - 3). Let z = v - -47. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 3590.\nAnswer: 1\/3590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/10 + (-198)\/890. Let s = 1957\/26 - 511105\/6942. Let w = b - s. Which is smaller: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5808*j**4 + 18*j**2 - 170767*j wrt j?\nAnswer: -69696*j**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -343\/5 + 69. What is the nearest to 1 in 1, r, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 78\/(286\/(-11)) + 22 + (-4)\/(-2). Solve 0 = v*y + 4*y - 50 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13324 and -89723?\nAnswer: 76399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*a - 19*a**2 + 10*a - 23*a in the form y + j*a**2 + m*a and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -23*t**2 - 134*t + 226. Determine f(13).\nAnswer: -5403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/3)\/((-2)\/6). Let s(x) = 5*x**2 + 3*x - 3*x**3 - 2*x + 4*x**3. Does 4 divide s(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -91*c - 3. Suppose -2*m + 2*s + 17 - 7 = 0, -s + 10 = 4*m. Let x(j) = -5*j + m*j + 4*j + 2*j - 5*j. Determine g(x(a)).\nAnswer: 91*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zttz when four letters picked without replacement from {o: 4, t: 6, z: 2}.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*r**4*y + r**4 - 3*r**3*y - r*y + 59*r wrt r?\nAnswer: 192*r**2*y + 12*r**2 - 18*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*p**3 - 2605.\nAnswer: 147*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24181085, -24181088, -24181091, -24181094, -24181097, -24181100?\nAnswer: -24181103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35158205.\nAnswer: 5, 7031641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Does 1324 divide 68765912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202, -355, -582, -859, -1162, -1467, -1750, -1987?\nAnswer: -2154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103 - -302?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 1. Let f(w) = -14*w + 4. Give f(s) - 4*j(s).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (24\/(-14))\/((-2)\/7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -101\/209?\nAnswer: -101\/209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 669 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53105, 55775, 58445, 61115, 63785, 66455?\nAnswer: 69125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -2*b - 4*z - 242, -3*b + 5*z - 475 = 0. Let j = 13 - b. What is the remainder when j is divided by 39?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14399 and 4235.\nAnswer: 71995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202527488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*r**3 - 403*r + 403*r)*(-1 - r + 1)*(-3 + 6 + 0).\nAnswer: 102*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(13)*1 - (0 + sqrt(52)\/sqrt(4) + sqrt(13)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (39 - (-24 + 1 + 34)) + 7\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -5*q - 4*m, 0 = -3*q + m + 3*m - 54. Let u be (-620)\/q + 12\/(-42). Let a = 73 - u. Calculate the remainder when 85 is divided by a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -612090?\nAnswer: 1\/306045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**3 + 3*k**2 + 4*k - 2. Is x(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*i + 21. Let j = i + 20. Which is the third biggest value? (a) j (b) -4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -112 + 104.9. Let u = l - -7.1297. Round u to 3 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -28*g**2 - 85*g + 286. Calculate o(4).\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -34*r**5 + 5*r**4 - 10*r**2 - 5*r + 5. Let g(o) = o**5 - o**4 + o**2 + o - 1. Let t(c) = -a(c) - 5*g(c). Find the third derivative of t(h) wrt h.\nAnswer: 1740*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -3\/2*u**2 + 0*u + 73. Let x(s) = -3*s**2. Calculate t(x(z)).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -20)*-8 + -1. Let g be b*(1 - (1 - -1)). Let i = g + -79. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 p when three letters picked without replacement from {a: 3, m: 1, c: 2, p: 2, s: 3, e: 4}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/130460 and 31\/170.\nAnswer: 2217820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-9)\/(-35) + (-2)\/5). Let l(f) = -164 + 169 - f - f. Is l(z) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-2 - -3) + 0 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1222221 (base 3) to base 4\nAnswer: 112300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2 + (-5)\/(-2). Let j = -0.75 + 1.25. Which is the second smallest value? (a) v (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/10)\/((-38)\/95). Let x be 132\/(-297)*1\/j. Suppose -h + 5*t - 14 = 6, -4*t = -3*h - 16. Which is greater: x or h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let 45*q**4 + 1180*q**3 + 7360*q**2 = 0. Calculate q.\nAnswer: -16, -92\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-441)\/(-35))\/(-9)*210\/168?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -8, -4, 0, 3 in descending order.\nAnswer: 3, 0, -4, -8, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*h - 6, 3*h - 7*h + 3*g - 6 = 0. Let u(s) be the second derivative of -s + 0*s**2 + 1\/6*s**3 + h. Let w(n) = -4*n. Give w(u(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**3*u - 6*d**2*u + 22*d**2 - 8*d*u + 16*d - 10*u wrt d.\nAnswer: 18*d*u - 12*u + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 8*o**7\/105 - 2*o**4\/3 - 5*o**2. Find the second derivative of b(d) wrt d.\nAnswer: 192*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**3\/3 + 7*z**2\/2 - 12*z. Let p be c(5). Is (310\/(-15))\/(p\/9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55.22344 litres?\nAnswer: 55223.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 0, f + 16 = 3*a - a. Suppose -7*w + a = -3*w. Solve -h = 0, h + w*h - 4 = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*j - 12. Suppose 695*r + 234 = 704*r. Solve 3*v + 4*z - r = v, j*z = -3*v + 27 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 5. Let l be x(9). Suppose 0 = -k + 4*n + 32, -l*k + 103 + 25 = 5*n. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l - 4. Suppose -3*k - 9 = -30. Let d be x(k). Let n = 5 + d. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100281 divided by 1225.\nAnswer: -100281\/1225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -1.15 (c) 3188 (d) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396 + 376 - 15*z**2 - 772.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7308 divided by 9?\nAnswer: -812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -8 - 29 - (4 - 11).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 29 - 8 - (-7 - 0)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -65, -2\/7, 6\/7, -239\/6?\nAnswer: -239\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18048 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125887?\nAnswer: 125887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 d, and 1 h when three letters picked without replacement from {h: 2, d: 1, v: 2, t: 2, k: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -228*j**4 - 5*j**3 + 3*j**2 + 7525*j wrt j?\nAnswer: -2736*j**2 - 30*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-7 + (-104)\/(-16)))\/(-10). Sort -0.238, -0.5, u in decreasing order.\nAnswer: u, -0.238, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47763 and 976?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -20*h**2 - 83*h + 17. Let q(n) = 7*n**2 + 28*n - 6. Let g(w) = -17*q(w) - 6*t(w). Find the second derivative of g(y) wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -4 - ((0 - 10) + 9 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59255984.\nAnswer: 2, 19, 10259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -2\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -106 + 108.1. What is n rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 - 6*d**3 - 82*d - 78*d + 5 + 155*d. Let o(p) = p**2 + 22*p - 5. Let b be o(-22). Let j(x) = x**3 + x - 1. Calculate b*j(w) - f(w).\nAnswer: w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131136 is divided by 32724?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8.473758 times 0.4\nAnswer: 3.3895032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**8\/336 - 3*x**5\/4 + x**4\/12 + 23*x**3\/6 - 2*x**2 + 10. What is the second derivative of f(j) wrt j?\nAnswer: -20*j**3 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b*b**4*b*b**2*b\/b**(2\/7)*b**2 assuming b is positive.\nAnswer: b**(89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4359 > 4377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -605182, -2420712, -5446592, -9682822, -15129402, -21786332?\nAnswer: -29653612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5ae385 (base 15) in base 12?\nAnswer: -155a05b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - 0.45. Suppose 5*l = -5*y + 15, 0*y + 4*y + 8 = 0. Which is the second biggest value? (a) l (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/10)\/(102\/(-510)). Let o = -2.05 - -2. Which is the closest to -1\/4? (a) o (b) -1\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f**2 - 10*f + 7*f + 3*f + 23*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 3 (c) -43 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 444628*-1.58\nAnswer: -702512.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -202 + 9c?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11112, -44433, -99974, -177741, -277740, -399977, -544458?\nAnswer: -711189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 + (-14)\/(-28). Is g + 1 - (-5)\/(10\/132) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61149632 by -1910926.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*u - 28*u - 1919*k = -1921*k + 60, -33 = -u - k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -3 (c) -74.37 (d) -2\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*m - 87*m = -124. Let o = -15 + 10. Let k = -55 - -30. Sort k, o, m.\nAnswer: k, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - o + 0*o = -27979, -34973 = -5*i - 2*o. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1000401034142 - 2?\nAnswer: 1000401034140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 1006*t**2 - 2*t + 69. Let m be c(-9). Let a = -39104 + m. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 11:48 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - 188. What is u rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 2*o**2 + o - 1. Let x be m(3). Let l(c) = 8*c**2 + 5*c - 5. Let p be l(2). Let f = p - x. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*x = 9*x + 60, 3*i + 4*x + 39 = 0. Does 12 divide (-33 + -7)*(3 - i\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/380 and 115\/114?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2 - j - 23. Let i(z) = z**3 + 6*z**2 + 3*z + 49. Give 9*f(n) + 4*i(n).\nAnswer: 4*n**3 - 3*n**2 + 3*n - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 8*x**2 - 7*x + 2. Let n be l(-7). Let p be (-4 - (-7)\/2)\/((-1)\/488). Suppose -2*r - 5*c = -p, 3*r + c = -n*c + 375. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -6. Let f be (-1)\/(y + (-5)\/(-2)). Solve o - 4 + f = -4*c, -3*c = -2*o - 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1877855 micrograms to milligrams.\nAnswer: 0.0001877855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2. Let z(t) = -23*t + 37*t - 22*t. Give d(z(y)).\nAnswer: -128*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*a + 423 = 110*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.5, -0.04, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75902 divided by 1.\nAnswer: -75902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2356*l + 2347*l + 1269 = 0. What is the highest common factor of l and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 217.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37586 - -37585.5. Let o = 3.02 + -0.02. Which is the nearest to o? (a) u (b) -7\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, -1384, -4123, -8086, -13273?\nAnswer: -19684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v - 6*v + 4*v as s*v + f and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 155 = -0*p - 4*p, 2*p + 4*b = -70. Are -45 and p equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 6*p - 3*b - 81, -122 = -4*p - 3*b. Let j(w) = -15*w - 8. What is the remainder when j(-6) is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60160516.85696731 + 28834054.68696945. Let j = 31326463 + n. Let u = 0.83 - j. Round u to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.4764023 nanograms?\nAnswer: 0.0000000000000004764023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389912 is divided by 4325.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(187) + -2*2*sqrt(187))\/(-2*5*sqrt(88)\/sqrt(8)).\nAnswer: -4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - k + 2684 - 2684.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -3)\/(12 - 93\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32202 + 130?\nAnswer: -32012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67228 + 67227.99999953311. Round u to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6917 - -10259. Suppose -2*a = -4*l + o, 4*a + 3*l + 8394 = -a. Is (-4)\/16 + a\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -870042, -3480123, -7830254, -13920429, -21750642, -31320887, -42631158, -55681449?\n\"Answer: y**3 - 870031*y**2 + 5*y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1578 = 808*c - 806*c. List the prime factors of c.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3872487 and 224492?\nAnswer: 15489948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y - 10*y - 9 - 8*y + 21*y. Let j be c(11). Let o(d) = -3*d - 3. Let s be o(-2). Solve s = -j*u + 13 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 2*c**2 + 10*c - 1. Calculate o(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/4)\/(12\/(-96)). Let k be 2\/(-4)*0*1. Let z be -1 - 113*(k + -1). Calculate the highest common factor of q and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25569*g + 25585*g - 51376*g + 16206 = 0 for g.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**5 + 965*r**4 - 25415*r**3 + 154895*r**2 + 389920*r + 208640 = 0. What is r?\nAnswer: -1, 16, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1441482 and 103\/21622230.\nAnswer: 21622230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608267?\nAnswer: 11, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**4\/12 + x**3 - 11*x**2\/2 + 12. Let r(w) be the second derivative of m(w). Find the first derivative of r(k) wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1703)\/(-104) - 16 - (-4202)\/16. Is 263 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 + 17*g**2 + 12*g - 34. Calculate o(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 10523382 and 10523404 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3 - 240*l**2 - 986*l - 744 = 0. What is l?\nAnswer: -3, -1, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 493422 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4))**(-24)*c*c**(1\/6)*(c\/c**(-1)*c)\/c assuming c is positive.\nAnswer: c**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2339005 divided by 2?\nAnswer: -2339005\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 10. Solve c = z - 1 + 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1463 (base 7) to base 5\nAnswer: 4314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 + 6597*i**3 - 13190*i**2.\nAnswer: -i**2*(i - 6595)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 6\/44*-6. Let n(u) = -u**3 + 3*u**2 - 2*u + 1. Let z be n(1). Let a be (-8)\/(-26)*z\/(-2). Sort w, -3, a in increasing order.\nAnswer: -3, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1350 (base 14) to base 10.\nAnswer: -3402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 25*v**2 - 87*v + 21. Determine i(28).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 70.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.208 and 0.031906?\nAnswer: 0.006636448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -948, -60, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 65. Let d = b - -37. What is the remainder when -2 - (-1)\/(1\/30) is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -94 + 99. Sort -1, 0, -2, t in decreasing order.\nAnswer: 0, -1, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2219600)\/(-60))\/(3\/(-45)). What is y rounded to the nearest 10000?\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/15)\/(l*l**5))\/(l**(-2\/7)*l**1))**(2\/9) assuming l is positive.\nAnswer: l**(-1424\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 2*w**2 - 3*w**2)*(48*w + 5*w - 5*w).\nAnswer: 48*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven fifths of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + r = -7775, r = -t + 413 + 1136. List the prime factors of t.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2910*u + 3515?\nAnswer: -2910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + (2 - 4))\/1. Suppose -2*a - 10 = -2*w, 2*w - 10 = -p*a - a. Solve 2*g = 5*t + 7, a*g + 3*g = -2*t + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((78\/4)\/13)\/((-1)\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011101101101011110 (base 2) in base 16?\nAnswer: 19db5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110355.\nAnswer: 3, 5, 7, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1040\/(-72))\/(36\/27))\/((-10)\/12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 80772037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9059 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 - 4684635 + 4684635 + 0*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.18 - -1.82. Sort 3, -0.2, t in decreasing order.\nAnswer: 3, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-5 + 3\/3). Suppose -b + 1 = -n - m, 4*b - 20 = 3*n. Let d(r) = -r**3 + 17*r**2 + 2. Let c be d(17). Solve g + 27 = b*v, 4*v + c*g - 14 = -g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -355*f. Let k(y) = -143*y. Determine k(q(i)).\nAnswer: 50765*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 289601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxaxizbbuiuuuuxuiiu. Give prob of picking 2 x and 1 i.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -170691 + 6655507\/39. Let h = l + 238\/13. Calculate the common denominator of h and 41\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9\/10 of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 2 (c) 0.13 (d) 2\/915\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j**3 + 4766 + 20*j**4 - 9*j**3 - 2*j - 4778 - j**2 to x*j**4 + f*j**2 + l*j + v*j**3 + n and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*i**3 - 655*i**2 + 440*i + 180 = 0.\nAnswer: -2\/7, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.535 - 0.095. Let u = h + 1.03. Put 1, u, -3\/2 in increasing order.\nAnswer: -3\/2, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 5.51.\nAnswer: 1.653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**4 - 7*n**2\/2 + 5*n + 15. Let b(l) = 3*l**3 + 0*l**3 - 5*l**3 + 4*l**3 + 3 - 4*l. Give -5*b(d) + 3*h(d).\nAnswer: 2*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8*(27\/6 + -4). Suppose -5*d + v + 16 = 0. Solve 0*s = -4*s + d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, k: 1, g: 1, j: 1, n: 2, u: 1}. What is prob of picking 1 j, 1 k, 1 n, and 1 b?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31970982, -31970983, -31970984, -31970985, -31970986?\n\"Answer: -k - 31970981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z + 0*z + 3*z)*(z + 5*z - 4*z).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + v. Let o(q) = -4*q**4 - 4*q**2 + 4*q - 1. Let t(w) = 4*b(w) - o(w). Find the first derivative of t(z) wrt z.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13683, 27364, 41045, 54726, 68407, 82088?\nAnswer: 95769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 108 = -2*z + 5*p, z + 3*p - 52 = 0. Suppose -6*h = -3*h - 24. What is the greatest common factor of z and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 5*a**2 - 6*a + 91. Determine s(7).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-34)*32*(-17)\/(-1088)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 39. Let x = -7 - -11. Suppose x*q + 2 = m, q - 2*q - m + 2 = 0. Solve -2*l = 5*i + l, q = -t*l + 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.964663ug?\nAnswer: 0.000000000000964663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sia. Give prob of sequence sa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -57*k - 86. What is the lowest common multiple of 384 and o(-6)?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 513480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82 - -79. Let i be (-4)\/18 + -2*x\/27. Suppose -904 = -4*v + 3*r - r, i = 3*r. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107755 - 10*g**3 + 18*g**3 + 107755.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.17 (b) -0.1 (c) 0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 21. Let b = m - 14.85. Let z = b + -0.55. Sort 4, z, 5 in decreasing order.\nAnswer: 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s**2 - 3. Let f(g) = -3*g**2 - 2. Let z(m) = 3*f(m) - 2*k(m). Let u(n) = -3*n**2. Calculate z(u(o)).\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1072 * -0.155\nAnswer: 166.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 56*d**3 - 186*d**2 + 536*d - 295.\nAnswer: (d - 59)*(d - 1)**2*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o + 22 + 48 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28969 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.25 and 2.2325.\nAnswer: 0.558125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 169*q - 103 - 203. Solve 5*w = 4*k - 2, q = -2*w + 6*w - 2*k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 460, 908, 1356, 1804?\nAnswer: 2252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2, 5, 7, -2161, 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.217, -0.4, -2\/13?\nAnswer: 0.217","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5241, -7394, -9547, -11700, -13853, -16006?\n\"Answer: -2153*f - 3088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -4*c + 64. Solve 2*q = -2*q - c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*z - 148 = 0, -2*x + 0*x + 108 = 4*z. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**4 + 4*v**4 - 3*v**4 + (0 + 32*v**4 + 1 - 4*v**4)*(16 + 18 - 45).\nAnswer: -307*v**4 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, 311\/73, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113952163 to the nearest integer?\nAnswer: 10675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 19, -2, -3\/8, 0.5 in descending order.\nAnswer: 19, 0.5, 0, -3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 8353*w**3\/6 + 807*w**2 + 477*w + 1. What is the derivative of m(x) wrt x?\nAnswer: 8353","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((962\/(-444))\/13)\/(2\/(-448))*3?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 400 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.034836nm in meters?\nAnswer: 0.000000002034836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**9\/n**(-14)*((n\/(n\/((n\/(n**(-1)*n))\/n))*n)\/n*n*n)**16 assuming n is positive.\nAnswer: n**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -0.4100465490963.\nAnswer: -0.3100465490963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (9 + -4) - (2 + (-2 - -5))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + -5*sqrt(152))*-1)\/(sqrt(8) - sqrt(648)*-3).\nAnswer: sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 4485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v**(1\/3)*v))))\/v*v**(-1\/11)\/v)\/(v**(1\/2))**(-18\/7) assuming v is positive.\nAnswer: v**(-263\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-28))\/((-2)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -18*o - 970. Let u be c(-54). Put -5, 8, u, -13 in descending order.\nAnswer: 8, u, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -263*t - 21042. Give g(-80).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 1570*v - 17449. Determine r(11).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -349425\/26 and -13440 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -16, 1.\nAnswer: -16, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1273555 divided by 5.\nAnswer: 254711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -31. Let t = u + -23. Let s(p) = -p**2 - 12*p + 13. What is the remainder when s(t) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2462.719 weeks to days.\nAnswer: 17239.033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y - 399 = -31*y + 68*y for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 168 - 163. Solve -d = -j - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 23 = 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5*l**5 - 5*l**4 + 80*l**3 + 80*l**2 = 0.\nAnswer: -4, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -2. Let r = p + 1. Suppose b = r - 1. Calculate the smallest common multiple of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 divided by 19.\nAnswer: -113\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1161 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 36\/(-24) + (-13)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5))**(-11)*(r\/(((r*r**(-1\/5)*r*r)\/r)\/r))\/r**(-1\/5) assuming r is positive.\nAnswer: r**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 326 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -354177?\nAnswer: -354176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 - 17*k**2 - 3*k + 3. Let u(v) = -204*v + 1635. Let a be u(8). Let c(h) = -5*h**3 + 50*h**2 + 8*h - 8. Give a*c(o) + 8*g(o).\nAnswer: o**3 + 14*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1258)\/3145*165\/9.\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 260664526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 + 55. Suppose 4*o + h = -11. Let k = o + 42. What are the prime factors of k?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 4 (c) -5 (d) -85 (e) 117\/2 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 714552 is divided by 302?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 4. Let j be k(3). Let i = -14.2 + 6.2. What is the closest to j in -3, i, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(0 + (-2)\/(-6)). Let q(p) = -p - 1. Let c be q(-5). Suppose i - 3*i + c = 0. Sort i, -1, f in decreasing order.\nAnswer: i, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from meeemejmeemee. What is prob of sequence mm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.77 + 0.14. Let i = o + 1.03. Which is the third biggest value? (a) -3 (b) 7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4438045 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4525203605.\nAnswer: 5, 13, 69618517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/1*(88\/32 + 2). Sort 3, b, -3.\nAnswer: b, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w - 840 = 107*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-654245)\/170)\/179)\/((-6)\/(-8)*(-4)\/(-6))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 0) + 3 - (-1 + -2). Suppose 3*v - 20 = -4*z - v, i = -3*z + 3*v. Solve -2 - 2 = z*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 55386, 7, 2 in increasing order.\nAnswer: -5, 2, 7, 55386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3625 (base 8) in base 4?\nAnswer: -132111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + sqrt(684) + -1*sqrt(684) + sqrt(684) + sqrt(684))**2.\nAnswer: -72*sqrt(19) + 2745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3221040420 (base 5) to base 12\nAnswer: -2347b1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a - 8. Let f(t) be the third derivative of t**5\/15 + 460*t**2 - 2. Give f(q(g)).\nAnswer: 64*g**2 - 256*g + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4*y = -16, 44*y - 19 = -2*q + 47*y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, -1, 3.2612, -3?\nAnswer: 3.2612","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5193 is divided by 1294.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10459445 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: In base 3, what is 2201221 - 121221?\nAnswer: 2010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2639, -5, 0, -26, -4.\nAnswer: -2639, -26, -5, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*g**2 - 35747 + 35747.\nAnswer: -31*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtrgs. Give prob of sequence rg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 11*k**2 - 6*k + 64. Suppose 1884 = -5*q - 152*q. Determine w(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2)*q)**(-1\/9)*q**(-2\/31)*(q*(q\/(((q*q**6)\/q)\/q*q)*q)\/q)\/q)**11)**(-1\/5) assuming q is positive.\nAnswer: q**(15202\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 724\/35 - 102\/5. Let f = -0.3 - -3.3. What is the nearest to 1 in i, -0.4, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 11*m**2 + 4*m - 18. Calculate p(11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/23 > -12\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, u: 3, l: 1, g: 2, n: 2, p: 1}. What is prob of sequence ggp?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-2 + k - 14*k + 3*k).\nAnswer: 20*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22 + 1)*(-9)\/(-81)*-3. Let s be 0\/((a - 1)\/6). Factor -15\/8*d**2 + 3\/4*d - 3\/8*d**4 + 3\/2*d**3 + s.\nAnswer: -3*d*(d - 2)*(d - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/21 + -9 + 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3002322021 (base 4) to base 2.\nAnswer: -11000010111010001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 32 = 2*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77 or 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1410*f**3 - 2*f**2 + 1. Let x(g) = g**3 + 2*g**2 + 3*g - 5. Let s be x(1). Is t(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + 5 + -29 + 28.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z + 2090 - 3416 = 0 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*(sqrt(171) + 1).\nAnswer: 6 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61591415 is divided by 7973?\nAnswer: 7963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -589*c**4 + 327.\nAnswer: -2356*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**4 - 1861*i**3\/5 + 112*i**2\/5 + 1492*i\/5 - 496\/5 = 0. Calculate i.\nAnswer: -1, 2\/5, 2\/3, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 5*j**2 + 10*j + 16. Let n be z(-7). Let w be 17160\/n - 6\/57. Let y = w + 158. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67800 and 8814?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 - 69. Suppose g*m - 220 = 1431. List the prime factors of m.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from xkkkkkxkkkk?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 9*s**2 - s - 6. Let k be y(-9). Let l = k - 5. List the prime factors of (6\/7)\/(l\/(-28)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-30)\/4))\/((-6)\/5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2.5. Which is the smallest value? (a) 1 (b) 0.03 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -0.1966, 0.36, 0.4, 1, 6?\nAnswer: -0.1966","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 92 - 85. What is the remainder when 20 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18.97 - -19.9. Let g = a - 0.9299926. What is g rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30554 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111100 - 1100010?\nAnswer: 1011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.246 + -19.246. Suppose 0*h = 3*h - 3*c + 21, 0 = -4*c + 20. What is the closest to 3 in h, v, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1116 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**5\/10 + b**4\/12 - b**3\/6 + b**2\/2 - b - 1334. Determine l(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/4505 and -115\/6.\nAnswer: 27030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*h - 255, 0 = 4*h + 3 + 1. Suppose 14*l - 8*l = f. Calculate the greatest common divisor of l and 315.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-3) + 36\/(-108). Suppose 13 = 4*u - 3*s + 4, -2*s = -u + q. Sort -2, 4\/3, 2, u.\nAnswer: -2, 4\/3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103601 + 20453 = -1181*p - 418*p for p.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 4*t - t + 20 = 4*t - 0*t, t = 535*d - 2104 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106911843 is divided by 258?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 11:47 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + 32?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaz when three letters picked without replacement from {z: 1, a: 4, f: 3, q: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*g - 2*g + 4*g)*(-2 + 2 + 6)*(-11 - 14 + 3)*(31 - 5*g - 31)*(0 + 2*g + 0 - g**2) to the form o*g**2 + m + p*g**3 + h*g**4 + w*g and give p.\nAnswer: -5280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.06, -24, -5\/3, -3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -942*z = 2245*z - 1663*z + 2120*z + 415416 for z.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(17\/20 - 5\/20). Suppose 5*l - 4*z = 9, -l + a*z + 1 = 4*z. What is the highest common factor of l and 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*5\/(-120)*-12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6859 - -6860. Which is the closest to g? (a) -0.05 (b) -0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((((l*l*l**7\/l)\/l)\/l)\/l))\/l*l*l*l**(-1)*l*((l\/(l*l**0))\/l*l*l)\/(l\/((l\/(l**(2\/15)\/l))\/l*l*l)) assuming l is positive.\nAnswer: l**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 216, 432, 648, 864, 1080?\nAnswer: 1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 7. Let f be b(-1). Solve -f*u + 15 = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -20803562\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -291375895652.000000786 + 291375894949. Let g = -703 - d. Round g to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 - 12*x - 2. Let v be a(6). Suppose -v*r = -37*r + 1503. Let o = r - 232. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o - 114 + 198 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.71 + -0.7. Let z = i - -0.49. Let d = 28\/111 + 3\/37. Which is the closest to d? (a) z (b) -4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2500, -2495, -2490, -2485?\n\"Answer: 5*i - 2505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 10*l - 2. Suppose 35 + 45 = -40*n. What is t(n)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*u + 5*u + 6, -3 = -i + 2*u. Suppose -4*n + 92 = -m, -56 = -2*n + 6*m - i*m. Is n smaller than 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10773267 + 10773266.77999935. Let d = p - -0.22. Round d to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -6*m + 53. Let l(y) = -112*y**3 - 4*y**2 - 2*y + 1. Let a be l(-2). Suppose -a = -m*s - s. List the prime factors of s.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 867 is divided by 138.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -12. Let m = -46 - x. Round m to the nearest integer.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1687 + 1819. Calculate the highest common divisor of f and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 356 + -359. Let b be 2\/(-8) - (-1)\/4. Calculate the remainder when k - (-37 + (-4 - b)) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 + 3 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 - ((-93)\/(-60) - 4) and ((-78)\/(-8))\/(6\/(-5)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 3 - 3)*((-4 - 1 + 3)*(8*c - 8*c + 8*c**2) - c**2 + 3*c**2 - c**2) as m*c**3 + s*c**2 + x + a*c and give m.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20112 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 59714670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 - (-269 - -118 - -32)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -32 - (-4 + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -29045 and -29047 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4112, 4143, 4246, 4421, 4668, 4987?\n\"Answer: 36*g**2 - 77*g + 4153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/1509? (a) 0.5 (b) -1\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.02 - -0.98. Suppose 3*h - h - 3*r = 6, -r = 4*h + 16. Put -4, h, l, -1 in ascending order.\nAnswer: -4, h, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/69795 and 4\/41877.\nAnswer: 209385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 2:07 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(4355\/31691) - (-14)\/(-182)?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65\/(-195) - 910238\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f\/(f\/(f\/(f*f\/(f\/f**1))))*f*f**8)\/(f**3\/(f*f**(-7)*f)))**(-40) assuming f is positive.\nAnswer: f**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 65\/(390\/48) + (2*3)\/(-2). Sort -1\/7, 0.1, -28, o, -2\/17 in descending order.\nAnswer: o, 0.1, -2\/17, -1\/7, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 3. Suppose -12 = q*i - 52. Let v = -1762 - -1832. What is the highest common factor of i and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*s - 9 = 0. Let x = -23780 - -23776. Sort 61, x, s in ascending order.\nAnswer: x, s, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 4*d**2 - 6*d + 4. Let o be -1*9 - 20\/(-5). What is y(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b. Suppose -5*k + 2*i + 16 = 0, 10*k - 5*k - 1 = -3*i. Let o(c) be the second derivative of 4*c + 0 + 1\/6*c**4 + 0*c**k + 0*c**3. What is h(o(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6039.922 years to centuries.\nAnswer: 60.39922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + 209\/(-33) - 13\/(-3). Suppose t + t = 64. Suppose -5*z = -3 - 17. Solve 2*l + t = -z*q - 3*l, u = -l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086397595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**4\/24 + 13*o**3\/6 + 8*o**2. Let d be x(-6). Solve -4*p + 2*p = 4*n - 2, -3*p = -5*n + d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1470 - 10?\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34022736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73040945?\nAnswer: 5, 877, 16657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 312 and 18?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-21) + (-585398)\/(-77) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p. Let q(h) = 94*h. Determine q(i(b)).\nAnswer: 188*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-152)\/(-36) + (-6)\/27. Suppose 19 = 5*t + x. Suppose -2*u + 88 = r, -5*u = -2*r - t*u + 206. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.4. Let y be (5\/(-6))\/(1\/(-6)). What is the closest to -2 in 0.5, y, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - s**2 - 63*s - 45. Let k = -15 - -19. Calculate the smallest common multiple of c(-7) and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/30 and (-15)\/10 + (-87)\/(-20).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*s - 4, 0 = -4*s - 1 - 7. Let g = -563\/1707 + -2\/569. What is the nearest to -1 in t, -2\/11, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12731 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + (-6)\/(-8))\/(9\/24). Suppose 0*g + 4*f = -4*g + 20, j*f - 12 = -3*g. Find the third derivative of -16*d**g + 34*d**6 + 11203*d - 11203*d wrt d.\nAnswer: 4080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -4*b - 44 + 36, -2*b - 6 = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) - 2*sqrt(125) - (sqrt(180) + 1)**2) + 3*(sqrt(5) + -1 + sqrt(500)).\nAnswer: -184 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 3*y + 3*y)*(4 - 4 - 3)*(-1 - 4 + 1) to w*y + n and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kccfzst. Give prob of sequence fccz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2650 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7506381 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -0.8. Let a be ((-2)\/(-636))\/(12\/18). Let k = -419\/1060 - a. Sort n, -3\/2, k in increasing order.\nAnswer: -3\/2, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 0. Let v be (-56)\/(-40) - 6\/d. Suppose v*l = -0*l + 6. Solve 0 = 3*f - 0 + l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.34 (b) 0.4 (c) 0.37 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 86701801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y - 24*y = -2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 18\/13 (b) 3 (c) 16 (d) 1396\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-1) + (-78 - 125\/(-125))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5 + 13*q**4 + 276*q**3 - 1888*q**2 + 3904*q - 2640.\nAnswer: -(q - 22)*(q - 2)**3*(q + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8888200 rounded to the nearest 100000?\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-300)*5\/(-3) + 8\/(-48). Sort -1.1, 225, d in ascending order.\nAnswer: -1.1, d, 225","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 2*y - 1. Let n be v(3). Suppose -2*z + 6 = -g - g, n*z + 12 = -4*g. What is the second smallest value in -0.2, g, -3\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 + 110 = -16*b. Calculate the lowest common multiple of 63 and (-32)\/b - 5\/(-55).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57117?\nAnswer: 3, 79, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618*i + 30573 = -21957 for i.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 13587 - 13625 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288 divided by 644?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 5 = -5*q + 3*z, 3*z = 4*q + 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u = 2*u + 48 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -39767391 minus -0.05?\nAnswer: -39767390.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 34 = -2*z + 30, 3*n - 79 = -5*z. Suppose -2*f = f + n. Let y(x) = -x**3 - 7*x**2 - 6*x + 6. What is y(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggfgfggfggggfk. Give prob of sequence kgf.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-2)\/9*6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 + -4)*14\/8. What is the highest common factor of v and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 1*(-3 + 107). Suppose 0 = -4*y + d + 14. What is the remainder when y is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12155 - 12155 - 10*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -185, -367, -549, -731, -913, -1095?\n\"Answer: -182*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) -12 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -3 - (-3)\/16*-4\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**3 - 159*f**4 + 38*f**4 - 187*f**2 + 6751*f**2 - 16*f**5 wrt f?\nAnswer: -960*f**2 - 2904*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 1. Let m(d) = -2*d + 130. Let s(a) = m(a) + x(a). What is the derivative of s(h) wrt h?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6354, -3, -282 in descending order.\nAnswer: 6354, -3, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11679 + 4\nAnswer: 11683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 2*f + 3. What is q(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2308 = 4*d, -322 = -i + 5*d + 267. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1303 + 0?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a - 10. Let w be 147\/(-12) - 2\/(-8). List the prime factors of c(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -7. Let n(a) be the second derivative of a**5\/20 + 5*a**4\/6 - 13*a**3\/2 - a**2\/2 - 3*a - 16. Let c be n(-13). Put y, 1, c in decreasing order.\nAnswer: 1, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-15) + 33\/120. Let r = -1.3 + 0.3. Let h = -2 - r. What is the closest to -1 in h, m, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 3. Let x = 7 - 7. Let l = x - 1. Which is the closest to -1? (a) 3 (b) l (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64314718 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8043 divided by 19\nAnswer: 8043\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -853 times 2\nAnswer: -1706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q = 14. Let m = -10 - q. Solve -5 = -5*d, -4*w + 2*w + 4 = -m*d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*c**4 + 200*c**3 - 915*c**2 + 415*c - 50.\nAnswer: 5*(c - 2)*(c + 5)*(4*c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from ataltz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4220498956144 + 4.\nAnswer: -4220498956140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745580744?\nAnswer: 2, 103, 479, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 39605685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2410588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 187 and -30.1?\nAnswer: 217.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2116, 2545, 2978, 3415, 3856, 4301, 4750?\nAnswer: 5203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-7 - (7 + -10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -66*d - 27. Determine f(2).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -6. Let d = v - -49. Differentiate 3 + 12*c**2 - d*c**2 + 22*c**2 wrt c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5)\/55 - 5\/((-55)\/21308) is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -27*-2*2\/12. Suppose 4*q + 6 = -l, -3*q - m = l - 2. Let p = l + 17. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + w - 24. Let v(m) = -2*m - 7. What is the remainder when 19 is divided by v(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5\/4 - 145*v**4\/2 + 1467*v**3\/4 - 589*v**2 + 295*v = 0. What is v?\nAnswer: -295, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(4\/5)))**(-30) assuming i is positive.\nAnswer: i**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4896 divided by -9.\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -945757*t - 1891509. Determine v(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 298087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72*k**2*u**5 - 404*k**2*u + k*u**5 - 15*u wrt u.\nAnswer: 1440*k**2*u**3 + 20*k*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ah when two letters picked without replacement from iwhqmiqqwahq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 227722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*k - 100*k + 1070190 = -123*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-200880)\/(-32))\/(-155) + 42?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (124\/6)\/((6\/423)\/1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1255446705 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 12*s**2 - 3*s**2)*(6*s**3 - 4*s**3 + s**3).\nAnswer: 33*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*v + 28*v + 720 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -223.9+-13068\nAnswer: -13291.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3157.291 hours in seconds?\nAnswer: 11366247.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 18*v**2. Let q(z) = 17651*z - 5. Determine q(a(y)).\nAnswer: 317718*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 807 + -830. Is b > -0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/293706 and -41\/27972.\nAnswer: 587412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzn when three letters picked without replacement from {n: 2, z: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19402305 to the nearest integer?\nAnswer: 4405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19\/(-2) + 3\/6. What is the common denominator of m\/18*79\/(-2) and -103\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1120 divided by -14.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**3 + 4*k**2 + 5*k + 1. Let j be y(3). Sort j, 1, 68, 0 in decreasing order.\nAnswer: 68, 1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2098.6 plus -0.74157277997?\nAnswer: 2097.85842722003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 784051420 and 1340.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 35380700 to the nearest one million.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 8 - 20) + 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (7 + -2) - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -11.04. Let g = w - -3.04. Let n = g - 2.8. Which is the third biggest value? (a) n (b) 1\/4 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*u**2 + 12*u**2 - 2*u**3 - u**3 + u + 5*u**3 - 67*u**2 to the form i + q*u**2 + m*u**3 + p*u and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**4\/24 + 2*d**2. Let x(c) be the first derivative of 13\/3*c**3 + 0*c + 104 + 0*c**2. Calculate x(n(m)).\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/5 - (-49)\/35. Suppose -7 - b = -4*r. Suppose j + 3*k = 25, r*j - 5 = -j + 5*k. What is the least common multiple of 5 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hsjy when four letters picked without replacement from syyyjyhhjyqy.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2113466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = b - 8, -b - n - 12 = n. Let y be 12\/10*-15*b\/24. Solve -3*p + 6 = y*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -102 + 98. Suppose -46 - 6 = c + o, -c - 49 = 2*o. Put 4, c, m in descending order.\nAnswer: 4, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(130)*2)\/(sqrt(40)\/sqrt(4)*5).\nAnswer: 8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155 - -311\/2. Let b(y) be the first derivative of -3*y - 2 - s*y**2. Find the first derivative of b(n) wrt n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 887847 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 2220*n - 2216*n = 120, 4*s - s - 2*n + 54 = -34 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60.1 + 60. Let f = 0.1 - j. Let m = -152 + 150. Which is the closest to -3? (a) m (b) f (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/164801 + 11700735\/22412936. Calculate the common denominator of (3\/10)\/(2328\/(-14065)) and q.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71195093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1998 is divided by 997?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7\/2 - -15\/4. Suppose -6 = 2*i + 2. Let h be ((-2)\/(-1))\/(27\/(-1 - i)). What is the nearest to 1\/3 in h, r, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 at least -137071\/1178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i - 5 - 3*i**3 + 2*i**2 + 4*i**2 + 19 + 3. Is p(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 9*o = -210. Let u = 14 + -12. Let c be 7 + -2*1\/u. What is the highest common factor of o and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1.26, 1\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*k**3*n*y - 6*k**3*n - 657*k**2*n - 8*k*n - k*y - 30*n*y - n - 1 wrt k.\nAnswer: -36*k*n*y - 36*k*n - 1314*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 250 = -3*d - 4*a, d = 2*a - 76. Let b be 4\/14 + d\/182. What is the closest to b in 1\/5, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s + 42. Let n be h(12). Suppose 3*o = n, 5*v - 10 = 4*o - 9*o. Is 100 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -471385.81?\nAnswer: 471386.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9.14, 4.\nAnswer: -9.14, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (71478\/5415)\/((-3)\/5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 48*m - 263*m + 0 in the form y + u*m and give u.\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q - 2*q**2 + 5\/4*q**3 - 1\/4*q**4 + 0 = 0. What is q?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 18 = 8. Let o be (10\/z)\/(2\/(-74)). Suppose -o = -3*l - 32. What is the remainder when l is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*s - 5 = 33*s + 5*m, 5110*s - 2*m = 5116*s - 46 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -138.943326 - 0.021674. Let r = -139 - d. What is the biggest value in 5\/2, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {z: 1, a: 1, p: 2, k: 3, s: 3, i: 8}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (125489\/(-4137))\/(126\/324)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 5800*y**2 + 446*y**3 - 2*y + 3*y - 448*y**3 - 5110*y**2.\nAnswer: -2*y**3 + 690*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, x: 2}. What is prob of picking 1 x and 2 g?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 23 = 2*v, 25*a - 29*a = -4*v - 60. Let z(g) = 546*g. Let h be z(-5). Find the common denominator of h\/3861 - (-1 - v\/18) and 43\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10*(-15)\/10*1\/(-3) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8, 44, 128, 284, 536, 908, 1424, 2108?\n\"Answer: 4*a**3 + 8*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31221 - 21747 + 33950 = -2714*v for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22635*c**4 + 78131 wrt c.\nAnswer: 90540*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10626, 5382, 21390, 37398, 53406?\nAnswer: 69414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*s**3*y**3*z**3 - 11*s**3*y**3*z + 99*s**3*y**2*z**2 + s**3*y**2 + 236*s*y**3*z**3 - 3*s*y**3*z wrt z?\nAnswer: 36*s**3*y**3 + 1416*s*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f + 15. Suppose -5*k + 9*k = 0. Which is the nearest to k? (a) -1\/4 (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -207.59 to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**3\/9 + 932*f**2 - 2062408*f\/3 - 12408016\/9 = 0?\nAnswer: -2, 958, 3238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 96*o**2 - 368*o**2 + 82*o**2.\nAnswer: -190*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m = 5*c - 233, -5*m + c + 1061 = 0. Suppose -8*i + 243 + m = 0. List the prime factors of i.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/835626 and -107\/6906.\nAnswer: 835626","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 10, r: 4}. What is prob of picking 3 r and 1 c?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4221688 to the nearest integer?\nAnswer: 2055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -463403*o**5 + 141767*o wrt o.\nAnswer: -9268060*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123 - -179. What is the remainder when i is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -407\/5 - -81. Let h be ((-528)\/(-66))\/(12\/9). Let f = 6 + -10. What is the second biggest value in h, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5466936 by 3.\nAnswer: 1822312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 156849015 divided by 36485\nAnswer: 4299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -14. Suppose 2*v - l*v = 16. Let w = v - -31. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-324))\/((-78)\/(-351))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12601 + -12597. Which is the closest to 4258? (a) 0.1 (b) 1 (c) 1\/2 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 2\/11 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17682, 70804, 159324, 283230, 442510, 637152?\nAnswer: 867144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + (sqrt(1573) - (sqrt(1573)*1 + sqrt(1573) + 3))**2 - (sqrt(1573) + 3)*3) + (sqrt(1573) - (-1*sqrt(1573) + -1) - 1*(sqrt(1573) + -3)**2).\nAnswer: -8 + 132*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18291459 to the nearest integer?\nAnswer: 4277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/5 - 66848*m\/5 - 26740.\nAnswer: (m - 66850)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20089564*r**2 + 40179082*r**2 - 20089540*r**2.\nAnswer: -22*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 30. Suppose 6*t - r = -6. Solve x + t*w = w + 12, -3*x + 21 = 3*w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 968139080 and 26720?\nAnswer: 6680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*d**2 + 60*d**2 - 4 - 98*d**2 - 198*d**2 to the form n*d**2 + o*d + u and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (318 - 132 - 143)*(-2*f - 3*f + 68*f**2 - 69*f**2 - 1).\nAnswer: -43*f**2 - 215*f - 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333*k + 162*k + 178*k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.5 (b) -6 (c) 1.4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6200*h**2. Suppose 7 = 2*i + 9. Let u be z(i). Round u to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(175) + 0 - 1*(sqrt(175) + -4 + (sqrt(175) - sqrt(175)*1) + sqrt(175))**2) + 0.\nAnswer: -720 + 85*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 2*u = -3*c + 5, -5*u = c + 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -23 - 3. What is the derivative of 22 + 57 - 15 + 109*b**2 - f*b**2 + 64 wrt b?\nAnswer: 214*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7540 divided by -1508?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**4 + 1658 + 109*a - 1658 - 2*a**3 + (-5*a**2 + 3*a**2 + 0*a**2)*(-2*a**2 - 2 + 2) - 4 - 2*a**4 + 4 - 9 + 9 + a**4.\nAnswer: 6*a**4 - 2*a**3 + 109*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/8, -1\/5, 4, -5, 3 in decreasing order.\nAnswer: 4, 3, -1\/5, -5\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 128*z + 126*z)*(-2 - 2 + 2 + (0 + 2 - 3)*(3 + 0 - 1) - 2 + 3 + 1 + 0 + 1 - 8) to k*z + s and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 700 - 20298\/29. Let p = x + -43\/203. Let u be (-4)\/(-9)*(-9)\/6. Which is the nearest to u? (a) 2 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r - h + 6, -3*h + 8 = 2*r. Let q be (-4)\/2 - (r - 6). Find the third derivative of 6*c**5 - 9*c**5 + q*c**2 + c**2 - 6*c**5 wrt c.\nAnswer: -540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.29 - -0.29. Let c = j - -11.15. Let h = c + 2.85. What is the nearest to h in 0.4, -2, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1048431334?\nAnswer: 2, 37, 3433, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -y + 8, -5*r + 5 = -r + 3*y. Let k = 0 - r. Let v = k - -5. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 10 - 8 = -3*o, -4*o - 1 = -d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, 134, 117, 46, -79, -258, -491?\nAnswer: -778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c - 44. Let d = c + -40. Suppose 7*p - 99 = d*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -140, -373, -678, -1049, -1480, -1965?\n\"Answer: n**3 - 42*n**2 - 114*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10126339.\nAnswer: 17, 53, 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 + s**2 + 3*s + 1. Let m(o) be the second derivative of o**2\/2 + 64*o - 2. Calculate -m(c) + t(c).\nAnswer: 2*c**3 + c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 6)*(-2 + 4*c**3 + 2)*(3 + 32 - c + 29) as k*c**4 + l*c**3 + v*c + b + s*c**2 and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 259025899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 964 is divided by 139?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5027315?\nAnswer: 5, 53, 61, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22569038\/(-313575) - (0 + -72).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -138\/7 (b) -11.81 (c) 17\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwu. Give prob of picking 1 w and 1 u.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*c - 56 = -164. Solve -f - 2*p + c = 0, -11 = -3*f - 4*p - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11131 divided by 957\nAnswer: -11131\/957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57441*t**3 + 48511*t**2 wrt t.\nAnswer: 344646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4381 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2379523.\nAnswer: 1231, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4803, -9383, -13741, -17877?\nAnswer: -21791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67047?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3291265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/2*-1 + -18*(-19)\/228.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -0.06, 2\/7, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*h - 5. Let o = h + -3. Let c(v) = v - 2*v**2 - 2*v**o + v - 3*v**2. Let r(x) = 4*x**2 - x. Give 3*c(n) + 5*r(n).\nAnswer: -n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {g: 2, x: 2, r: 3, y: 6, o: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -23, -49, -83, -125, -175?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*b + 5*x, x = 9*b - 10*b + 11. Suppose -8*m = -b*m + 54. Calculate the remainder when 537 is divided by m.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**4\/4 + 7*x**3\/3 - 4*x**2 + 4*x - 2. Is 24 a factor of p(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/3, -1\/2, 7\/178, -4, -0.4, 1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y - 3 = 0. Suppose -4*h - 8 = 4*u, -3*u - y*h = -8*h - 26. Let m(d) = 2*d**2 + u - 2. Let s(g) = -g**2. Determine s(m(q)).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 - -65?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in 0.07, -0.03, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v**(-3\/7)\/v))\/v)\/v)\/(v*v**(-8)))**(-2\/57)\/((v*v\/v**(-11))\/(v*v\/(v*v*(v*v**8)\/v*v)*v))**(-42) assuming v is positive.\nAnswer: v**(351814\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 138, 143, 146?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + 5b0a69?\nAnswer: 5b0a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.17451 + -24.88949. Round w to one decimal place.\nAnswer: -25.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97\/(-485) + 9\/(-1770)*-46\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-7 - -8) + -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14424464 divided by 901529.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 7*r**5\/60 - r**4\/4 - 5*r**3\/6 + 3*r**2. Let f(w) = 4*w**2 - 3*w - 3. Let a(h) = 10*f(h) - 6*n(h). Factor a(g).\nAnswer: -2*g*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(28\/5)*w*w)\/w)\/w*w*w**(1\/6)\/w assuming w is positive.\nAnswer: w**(233\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(50\/(-6)) - (-18)\/(-5). Let s(g) = -g + 3. Let x(c) = -3*c + 5. Calculate d*x(v) + 5*s(v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 3:45 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/44 and -13\/19998?\nAnswer: 39996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -292 (base 13) in base 4?\nAnswer: -13021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6*y + 642. Let j(a) = -4*a + 429. Determine -7*j(z) + 5*u(z).\nAnswer: -2*z + 207","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 4*i = b - 0*i - 2*i - 59, 10712*b + 27 = 10712*b - 3*i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*j + 27415 = 178*j + 5*b, 5*b = -4*j + 21926. What is the remainder when j is divided by 183?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6581 is divided by 507?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 41*h + 38*h = -1578, -778 = -2*m + 4*h. What are the prime factors of m?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 874871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6.1 (b) -3\/8 (c) -17 (d) 2 (e) -3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 319 divided by -42\nAnswer: -319\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**5*x + 1291*h**3*j*x + 3*h**2*j*x - h*j + 397663*x wrt h.\nAnswer: 20*h**3*x + 7746*h*j*x + 6*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 4*r - 6*r)*(-3*r**4 + 2*r**4 - r**4).\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -23. Suppose -4 = -5*u + c. Let z be 3\/u*2\/2. Solve -z = -j - 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38301 or -38302?\nAnswer: -38302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -120*r + 1426. What is f(17)?\nAnswer: -614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17404 (base 11) in base 3?\nAnswer: -1020112102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/2 + 844*s**2 + 1695*s\/2 - 5067.\nAnswer: -(s - 1689)*(s - 2)*(s + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2011 - 510. Let g = 1501.000000601 - n. What is g rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1279564155.\nAnswer: 3, 5, 37, 256169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*h - 105\/4*h**2 + 0 - 3\/4*h**4 - 9*h**3.\nAnswer: -3*h*(h + 1)*(h + 3)*(h + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from rrrrhwwrrwhrrrwrhhr.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.7 - -0.7. Suppose -11*l + 8*l + 12 = 0. Suppose -3*r + l*d - 4 = 0, 5*d = r - 3 - 3. Which is the second smallest value? (a) m (b) r (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in -1\/4, 0.7, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3432 is divided by 1344.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(156)\/((sqrt(96) - sqrt(96)*3 - sqrt(96))\/sqrt(8)).\nAnswer: -2 - sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 425516 and 392?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 38 = -r. Solve 25 = r*t + 5*x, t = -x + 6 - 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(1*(-11)\/55).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*b + 262*b - 518*b + b**2.\nAnswer: b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304 divided by -979.\nAnswer: -304\/979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 70507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 12*k + 21 = 0. Let y be 12\/k*7\/(-2). Suppose y*q = 209 - 77. What is the highest common factor of 44 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41\/9*n - 1\/9*n**2 + 0.\nAnswer: -n*(n + 41)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -129 - -160. Let r be 3\/(0 + (-1)\/1). What is the remainder when f is divided by 13 - r - (1 + -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 14, -1, 1\/4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-86 - 5840\/(-64))*24.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1257 - 1260. Let a(d) = d**3 + d**2 - d. Let y(z) = -10*z**3 - 16*z**2 + 16*z. Calculate b*y(p) - 48*a(p).\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 6*d**2 + 5*d + 5. Give f(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b - 5*b. Let t be 42\/16 - 21\/(-56). Solve g + t = n - b, 5*n + 5*g - 35 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y - 57. Let r(a) = -8*a - 114. Determine 5*j(u) - 2*r(u).\nAnswer: 6*u - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*k + 14*k - 6106 = 28*k for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29456126 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: Let b = -44 - -42. Let c(m) = -7*m + 18 - 2 - 8*m - 1. Let o be c(2). Sort b, o, 3 in descending order.\nAnswer: 3, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.5 + 7. What is the third biggest value in q, 2, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 4*l + 34 - 15, 0 = -5*s + 15 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11384*r + 231 = -11417*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2 + 20*u + 770. Determine l(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 131342 - -398507. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a day in hours?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6713*z = 6*n - 6711*z - 64, -3*n + 232 = 11*z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 276, 919, 2172, 4239, 7324, 11631, 17364?\nAnswer: 24727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150121 - 104870 = 13*l - 167143. What are the prime factors of l?\nAnswer: 2, 3, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7241100 rounded to the nearest 10000?\nAnswer: -7240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q\/(q**(1\/4)\/q))))**(-2\/21)*q**(1\/7)*(q\/q**6*q)\/q)**40 assuming q is positive.\nAnswer: q**(-4300\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-seven fifths of a millimeter?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njjytnntnnjnxjnznnnn. Give prob of sequence tx.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 300415931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*j = -50, 3*o + 100 = 7*o + j. Suppose 3*l + 5*a - 37 = -2, -4*l = 4*a - 44. Calculate the highest common divisor of o and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**5 + 15*p**3 + 10*p**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 3*b - 2. Let r = -5 + 12. Let h(q) = -q**3 + 6*q**2 + 8*q - 5. Let x be h(r). Let a be m(x). Which is smaller: 1\/4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**4\/6 + 2*p + 3. Let t(z) be the first derivative of r(z). Let s(q) = 2*q**2. Give t(s(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -747.2026 rounded to the nearest 10?\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 11, -7803?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 107*n + 241. Let x be f(-11). Is x at most as big as -816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1057 + 127 = -32*o + 26*o. What is the remainder when 611 is divided by o?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 109, 27\/4, -2, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130210 is divided by 9291.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/12 and (10\/(-40))\/(8\/10).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.06 and 18.5?\nAnswer: 18.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 7. Let s be i(-6). Suppose -87 = -1653*d + 1624*d. Which is greater: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 13. Suppose w - m = -7. Differentiate -2*x**4 + 3*x**w + x**4 + 6 + 0*x**4 with respect to x.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-35)\/(14\/2))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 times 15153044?\nAnswer: 34852001.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1000001011111?\nAnswer: 1000001100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1573328\/7 - 225463. Let s = d + 704. Let c = s + -17\/7. Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2443 + 12136\/5. Let n = 163\/10 + m. Factor 1\/2*q**3 + n*q**5 + 0*q**2 + 0*q + 0 - q**4.\nAnswer: q**3*(q - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 442\/21 - 64\/3. Sort -0.4, y, -3\/5, 0.12 in ascending order.\nAnswer: -3\/5, -0.4, y, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -1. Let n = x + 3. Let p = n + -2. Solve 4*y + 2 = 2*j + 12, p = -2*y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 10*b - 5. Let o be a(9). Suppose 0 = -6*i + 2*i + 8. Let c = 0 + i. Solve 0*f - 28 = -5*s - c*f, o*f - 8 = 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 - 62. Which is the smallest value? (a) -0.5 (b) 2\/7 (c) z (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-11)*j)\/(j*j**7))**36)**(-15\/11))**34 assuming j is positive.\nAnswer: j**(330480\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3258 a factor of 88483687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 290817432 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 h, 1 r, and 1 i when four letters picked without replacement from {h: 1, i: 4, k: 8, r: 5}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -668*g**5 - 426*g**5 - 410*g - 58*g - 209*g + 196*g**5 wrt g?\nAnswer: -17960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1390 = 3*z - 13*z. Let v = -137 + z. Let q = -1 - -1. Solve q = 2*t - v - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -2*c + 74, 97 = -251*w + 255*w + 3*c for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 + 0.1. Let o = 133\/429 - 5\/39. Let a = o - 17\/33. Is a less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -3, -1, 1\/733, -5, 378 in ascending order.\nAnswer: -5, -3, -1, 1\/733, 1\/5, 378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1202464\/5058625 - -2\/35375. What is the common denominator of 7\/299 and x?\nAnswer: 3289","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*k = -70, -160*k + 155*k = -40. Solve -h*m = 245 - 225 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -125342\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**5 + 56760*g**4 - 214836570*g**3 + 271338247440*g**2 - 812082745305*g = 0.\nAnswer: 0, 3, 3783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n + 2. Let v be (-2258)\/8 + (-4)\/(-16). Let c be (-4)\/(-30) + v\/90. Give a(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*-3*(2 + (-2*sqrt(72))**2).\nAnswer: 17400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**4\/24 - 33*h**2 + 3*h - 1. Let f(b) be the first derivative of l(b). Let r(t) = -2*t + 15. Calculate r(f(o)).\nAnswer: -2*o + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**2\/7 + 1304*h\/7 + 186 = 0.\nAnswer: -651, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 34 = t + 8, -4*t = d - 53. Solve 13*s - 1 = t*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 x when four letters picked without replacement from {l: 6, x: 2, a: 11}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, -434, 0.7, 0.5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 50952160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 417*u + 32 = -415*u, -2*u = -5*c + 87 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0\/(t*t**(-2\/5))*(t**(-4)\/t*t)\/t**(-3))\/(t**(2\/3)*t*((t\/t**(2\/9))\/t)\/t*t*t*t)**(6\/13) assuming t is positive.\nAnswer: t**(-622\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/(-1))\/((-9)\/6). Suppose p = -2*m + 8, v = p + p - m. Suppose -p*l = 3 - 47. What is the remainder when 20 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7114 = 145*g - 30*g - 361 for g.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 28. Let k(n) = 5*n**2 + 7*n + 6. Let v(h) be the second derivative of h**4\/2 + 7*h**3\/6 + 3*h**2 - 2*h. Let i(a) = -5*k(a) + 4*v(a). What is i(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142207 divided by 142207?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 533*j - 532*j + 2 - 3, 0 = 2*j - z - 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 289174377?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 98*x**2 - 456*x - 84. Let j(m) = 33*m**2 - 152*m - 30. Calculate -14*j(l) + 5*q(l).\nAnswer: 28*l**2 - 152*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1583 + -497. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1546 + -1.1546. Put 1, -2\/41, 1\/17, r in decreasing order.\nAnswer: 1, 1\/17, r, -2\/41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9)*x*x**(-2\/21))**(4\/25) assuming x is positive.\nAnswer: x**(172\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(14)\/sqrt(7))*4.\nAnswer: 4 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10189608 divided by 286.\nAnswer: -35628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 2*t + 3*t + (3*t - 2*t - 3*t)*(3 - 1 - 1))*(-6*t**2 - 171 + 171)*(11*t**2 - 7*t**2 - 17*t**2).\nAnswer: -312*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1458*i**2*o + 3*i*o + 5*i - 19*o wrt i.\nAnswer: 2916*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -0.899, -470\/11, -2 in increasing order.\nAnswer: -470\/11, -2, -0.899, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2930430065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 225887792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - z - 9, -k + 17 = -0*k - 3*z. Solve 5 = -4*m + 3*m + k*l, 3*m - 3*l + 12 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 50.9699 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*k**3 - 5006*k + 2503*k + 234*k**3 + 2503*k.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 - 14*q + 1047. Let r be l(0). Calculate the highest common factor of r and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -4)*-41*1. Let x = -46 - d. What are the prime factors of x?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + -10 - (416 + -401)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/12*(-505)\/(-303) and (2\/(-80))\/((-2)\/(-236)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244178760, 244178758, 244178756, 244178754, 244178752, 244178750?\nAnswer: 244178748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-35)*(-10)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2490941838?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**4\/3 - 7*m**3\/3 - 17*m**2\/3 - 17*m\/3 - 2 = 0?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*o**3 - o + 23 - 23.\nAnswer: -15*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/51)*(k*k**(1\/8))\/k*k assuming k is positive.\nAnswer: k**(443\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**5\/60 - 7*d**4\/24 - 8*d**2. Let t(n) = -2*n. Determine f(t(o)).\nAnswer: -4*o**2 + 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -181092838.\nAnswer: -181092837.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4)\/f**(1\/3)*(f**(-1\/4)\/f)\/(f*f\/(f*f**(3\/11)*f)*f))**(-1\/21))**(2\/41) assuming f is positive.\nAnswer: f**(169\/28413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**3 - s - 2. Suppose 3 = -5*g + i, 1 = -3*g - i + 2*i. Let a be q(g). Let j be (-1)\/a*5\/(-5)*-8. Solve -y = j*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15063 is divided by 279.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + 2 - -4) + -13 + 3 + 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25022, -25029, -25032, -25031?\n\"Answer: 2*b**2 - 13*b - 25011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 1389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, -0.1, 4\/5, -266, 0.4 in increasing order.\nAnswer: -266, -0.1, 0.4, 4\/5, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 16380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h. Let q be 2\/(-9) - 22\/(-99). Let w(l) be the second derivative of 0*l**2 - 1\/2*l**3 - 3*l + q. Calculate x(w(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*k**4 - k**3 + 573*k**2 + 58536*k.\nAnswer: 192*k**2 - 6*k + 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 51 - 42 = -3*f, 5*y + 4*f - 33 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6322*d - 2098902. Determine w(332).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 19292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by -926937.\nAnswer: -4\/102993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7010 divided by 5\nAnswer: -1402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2 = 8. Let x(j) = -j**3 - j**2 + 3*j + 5. Let h(o) = 2*o**3 + 3*o**2 - 7*o - 11. Let g(q) = a*h(q) - 5*x(q). Determine g(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmgbgggbbg. Give prob of picking 1 g and 2 b.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -152 + 140 + 0 + 9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -374707, -749430, -1124165, -1498918, -1873695, -2248502, -2623345?\nAnswer: -2998230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2 + 125\/4*m**3 - 19\/4*m**4 - 15\/4*m**5 - 141\/4*m**2 + 29\/2*m = 0.\nAnswer: -4, 1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49 - -53. Suppose 5*c + 25 = 0, i*m = -c - 0*c + 527. Is m a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 756?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*b**4 - 2571865*b**3 + 2104300*b**2 + 467620*b = 0.\nAnswer: -46762, -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-6)*2*-3. Let x = 16 + h. What is the remainder when 38 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -0.4, 2\/5, 10, 2\/15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 93.2? (a) -53 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*2*12\/(-32)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 11, r: 1}. What is prob of sequence kkk?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180429 (base 12) to base 5.\nAnswer: 101242304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -21. Let p(g) = -g**4 - 30*g**2 + 3. Let l(j) = -j**4 + j**2 + 1. Let i(z) = u*p(z) - 3*l(z). What is the third derivative of i(m) wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 979322658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -8231*r - 164. Let i(z) = 9*z. Give i(w(u)).\nAnswer: -74079*u - 1476","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 15\/7 (b) -9 (c) -2\/7 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 1805 = -553. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 5*s - 35, 2*s + 1 + 10 = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -128 in 1\/3, 554\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -6 + 121 + 6. Let 2*f + 124*f**2 + 6*f - x*f**2 = 0. Calculate f.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**2 + 16*q. Let z be r(4). Let j(o) be the second derivative of 0 - 1\/6*o**3 + 4*o + z*o**2. Let b(p) = -6*p**2. Give b(j(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3211 + 5474. Let q = d - 1518. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62\/9 + -22\/3. Let o = 0.203 + 3.797. Sort p, -0.3, o, -1\/2 in decreasing order.\nAnswer: o, -0.3, p, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66690, -66684, -66678, -66672, -66666?\nAnswer: -66660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1100212 - -202?\nAnswer: 1100414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -372*b**2 + b - 3. Let k be y(1). Let o = k + 267. Let w = o + 126. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p - 18. Let q be f(10). What is the highest common divisor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from zzwqztqztt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2525 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p - 3. Suppose -21*t = -25*t + 3*a + 23, -t + 9 = -4*a. Let n(b) = -b. Determine t*n(o) - k(o).\nAnswer: o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcii when four letters picked without replacement from {l: 4, a: 1, i: 4, c: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 364 - 231. Let x = 308 - b. Calculate the highest common factor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29.8 - -287.8. Let b = 257.99408 - t. What is b rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 14. Let o = d - 2. Let h(q) = -q**2 + 2*q - 1. What is h(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3 + 1\/3*l**2 + 4\/3*l.\nAnswer: (l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 7 + 2)*(-4 + 0 + 5)*(1 - 1 - 8*g**3)*(2*g + g - 4*g) as u*g**2 + c + s*g**4 + o*g**3 + p*g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2703928401898 + -0.2\nAnswer: 2703928401897.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y + 14*y + 10 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/3494 - -76913\/52410. Let s = b + -131\/120. What is the closest to -0.1 in s, -4, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 0.5 (c) -3 (d) 0 (e) -798\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.4843 * 30.5.\nAnswer: 136.77115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, f: 4, b: 7}. Give prob of picking 2 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*(1*sqrt(117))**2 - ((sqrt(1872) - (4 + sqrt(1872) + 2 + sqrt(1872))**2) + -3).\nAnswer: 276*sqrt(13) + 7759","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/22 + -5\/22. Let q be (-32)\/(-3) + (-66310)\/6270. Let -1\/11*r**2 + q + n*r**3 - 1\/11*r = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347692487 - -6?\nAnswer: 347692493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -39*m - 2. Let v(o) = o + 1. What is 2*u(h) + 4*v(h)?\nAnswer: -74*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -675 + 676. List the prime factors of (s - (-20)\/5) + 5 + 1466.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*g = -r - 125*g + 137, -g = -3*r + 459. Solve -r*k + 162*k = 40 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 803720 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39327 is divided by 277.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 3*w + 4. Suppose 103*m - 109*m - 12 = 0. Let k(p) = 4*p**2 + 14*p + 20. Let z(t) = m*k(t) + 11*s(t). Calculate z(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*k = 1953, 2*p - 24*k - 3906 = -22*k. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.1 (b) -5 (c) 633\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 1. Let g(i) = -5*i + 5. Let t(f) = g(f) + z(f). Let s(c) = -c**2 + 4*c - 3. Let b(r) = 4*s(r) + 3*t(r). Calculate b(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/63)*p*p)\/p*p**(5\/3)\/p assuming p is positive.\nAnswer: p**(103\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zxizzxiz?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + (4*sqrt(8640) - sqrt(8640)) + sqrt(8640))\/(4*sqrt(432)).\nAnswer: 49*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 q when two letters picked without replacement from {w: 1, u: 3, e: 1, g: 1, q: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b - 197*b**2 + 386*b**2 + 2 - 57*b**3 - b**4 - 2*b - 189*b**2 in the form m*b + q*b**4 + x + j*b**3 + o*b**2 and give j.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15783\/4 + 4001. Let x = -55 + p. Is x at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w + 4*w**2 - 2*w**2 - 1 + 2*w**2 - 2*w**2. Let l be g(-2). Suppose -4*y = -3*x - 20, -2 = -2*y + l*y + x. Solve o - y = -3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 8 = 7. Put l, -0.1, -2\/9, 3 in descending order.\nAnswer: 3, l, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(40)\/sqrt(2)*-2 - -3*sqrt(60)\/sqrt(3))\/(2*sqrt(400)*2).\nAnswer: -sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 57\/6 - 2\/4. Suppose 0 = 5*d + t - 10, 2*t = d - 0*t + i. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n - 2. Let r(v) = 35*v + 15. Give -3*r(x) - 20*s(x).\nAnswer: -5*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 450 and 5131890.\nAnswer: 25659450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18281.\nAnswer: 101, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/2*-1*3. What is the common denominator of 44\/6*r\/7 and -53\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -249 - -242. Suppose -2*t = -4*t + 12. Calculate the least common multiple of ((-48)\/(-12))\/(-3 - q\/2) and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 8*w - 2. Let z be n(1). Suppose z*m - 696 = 9*m. Round m to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 368, 3, -5, 31126.\nAnswer: -5, 3, 368, 31126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n**3 + 6*n**2 + 5*n. Let d(m) = 3*m**3 - 3*m**2 - 3*m. Let x(t) = -5*d(t) - 3*v(t). Find the third derivative of x(a) wrt a.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b + 12. Calculate f(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cquic. What is prob of picking 1 c and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 53.1 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -720*r + 727*r. Let j = -11 + 16. Suppose 3*w + 1 = z + z, j*w + r = 4*z. What is the remainder when w is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480732 and 3717?\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 + -121. Let m(c) be the first derivative of 2*c - 1\/3*c**3 + 4 + 0*c**2. Determine m(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3130 + 2\nAnswer: -3128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.790699 rounded to two decimal places?\nAnswer: -0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19820736 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*y**4 - 2*y**3 - 425866*y**2 + 391896369*y - 2.\nAnswer: -60*y**2 - 12*y - 851732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/1292?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*j = -42, -1 = -3*j - 7. Let d = 13 - 14. Let h(s) = -2*s**2 - 6*s - 7. Let o be h(-2). Sort o, d, a in increasing order.\nAnswer: a, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -44119, -104841, -165563, -226285, -287007, -347729?\n\"Answer: -60722*b + 16603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1707 divide 75580320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (0 + -28 + 31).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.9 and -480.\nAnswer: -912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 17*d + d**2 - 7*d + 3 - 6. Let f be i(-10). Calculate the common denominator of 51\/2 and ((-85)\/(-30) + f)*-77.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 275324 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001622790256 rounded to six decimal places?\nAnswer: 0.001623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 304 and 10454104?\nAnswer: 20908208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4333 divide 772420276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 3*q = -4, -4*q - 4 = -2*f - 2*q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a550 (base 11) in base 12?\nAnswer: -21044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11795 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39527 - 527?\nAnswer: 39000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(45) + -1 - sqrt(45))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17033 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -79. Let f = v + -133\/3. Is f <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 1, m: 1, h: 1, w: 2, x: 1}. What is prob of picking 1 w and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27330*q = -26320*q + 80800 for q.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13701325091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, l: 8}. What is prob of picking 2 v and 1 l?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -44074, -44080, -44086, -44092, -44098, -44104?\n\"Answer: -6*k - 44068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*o = 35. Suppose 2*c - 3 = j, -3*j + 2*c + 4 + 3 = 0. Suppose 4*r - 8*r + 20 = 0. Solve -r = 5*k - 4*i, 5*k - i = -j*i + o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djzij. Give prob of picking 1 d, 1 i, and 2 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.02.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + (-10 - -7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-17)*l*l*l*l**(2\/9)*(l\/(l\/(l*l*l**(-3\/16)*l*l*l)))**(-23) assuming l is positive.\nAnswer: l**(-17923\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -482670 by -96534.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 23*b**5\/20 + 17*b**4\/12 - 7*b**3 + 17*b**2\/2 - 9530*b. Let a(f) = -4*f**3 - 3*f**2 + 7*f - 3. Calculate -34*a(n) - 6*j(n).\nAnswer: -2*n**3 + 14*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.93 + 15. Let z = 22 + -21.97. Let h = u + z. Which is the third biggest value? (a) -2 (b) 0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 6*m - 534. Let n = m + -309. What are the prime factors of n + (42\/10 - 10\/50)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517671 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*(12\/(-16)*4)\/3. Suppose 0 = -3*b + b + 8. Suppose b*g + 3 = g. Sort -3, 4, p, g in descending order.\nAnswer: 4, g, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12643*d = -252*d - 1460*d - 1038445 for d.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -586*b = -420*b - 26228. Solve 0 = -25*s - b - 42 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4 - 2*s**2 - s**2 + 3*s + 4*s**2. Let p be o(-4). Suppose p = 2*t - t - 17. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = o - 3*o + 6, 5*s = 3*o + 4. Let x = 106 - 97. Let r(d) = -6*d - d**3 + x*d - 1 + 2*d**3. Calculate r(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/(-16)*7\/(126\/12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 316.85 - 5.85. Let t = 311.3 - z. What is the third biggest value in 0.4, t, 8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 12*s - 2*x + 25, s - 2*x + 15 = 0. Which is the smallest value? (a) 2 (b) -2\/13 (c) 3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263*u = -262*u - 333. What is the highest common factor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 + 4*x + 3. Let m be b(-2). Suppose 1 + 15 = 4*l + 3*u, 3*l - 12 = -m*u. Let w = -3.7 + 0.7. What is the third smallest value in 1\/17, w, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + m + 7 = -0*z, 23 = 5*z - 2*m. What is the hundreds digit of ((-2497)\/(-22))\/(z\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.9 + 0.1. Let w = -9 - -13. Let q be 16\/(-1320)*5*3. Which is the third biggest value? (a) w (b) g (c) q (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d + 0*d - 6*d)*(-1 - 5 + 3)*(3*d + 0*d + 0*d).\nAnswer: 126*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1101001?\nAnswer: 1100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3656541\/85 + -43019. Let g = 8\/17 + w. What is the closest to 0 in g, -4, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51292219.767268 - 51292356. Let y = 151.2327261 + n. Let f = -15 + y. What is f rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 126933 and 126931 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*j + 12, -4*u - 3*j - 7 = -4*j. Let a be -4 - 2*9\/u. Solve -2*y - 2 = -y, 0 = -c - a*y - 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -171830 and 997.\nAnswer: -170833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*h + 190*h + 37*h - 3 + 3 + 3*h + (0 + 0 + 1)*(0*h + 3*h - 5*h) + h + 4*h - 4*h.\nAnswer: 183*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16530?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 850546.671181 from -1.\nAnswer: -850547.671181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 53*w**2. Let d(p) = -4*p**2 - 3. Let o(q) = -14*q**2 - 10. Let f(g) = -10*d(g) + 3*o(g). Calculate f(b(u)).\nAnswer: -5618*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**3 - 7*p**2\/2 + 4*p - 3. Let c be 2\/(3 + -1) + 1. Let o(v) = 0*v**2 + c*v**2 - 6*v + 58 - 55. Calculate -4*b(w) + 5*o(w).\nAnswer: -2*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 46\/345 + 988\/(-30)*-2. Let h be f\/16 + -4 - 90\/336. Which is the nearest to 0? (a) 6 (b) 1\/9 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45630 (base 12) to base 14\nAnswer: -259c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4578 is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.008 + -1.008. Are t and -0.46 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -23*y**2 + y + 6. Let j be h(-3). Let l = -128 - j. Suppose 7*v = 11*v - l. Calculate the remainder when 55 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - -13 - (2 - 6) - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-8) + -1 + -1. Suppose 7*y - 10*y = -75. Let d be 30\/y*10\/28. Which is the closest to d? (a) t (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*l = -3*c + 60, -8 = -4*l. Let x = c - 25. Solve 23 = 5*s + x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4046*w**4 + 5200 wrt w?\nAnswer: 16184*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, n: 1, t: 1, l: 1, x: 5, d: 3}. Give prob of picking 2 p and 1 t.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2. Let i(z) = 43*z - 64. Let t(j) = 28*j - 66. Let h(m) = 4*i(m) - 6*t(m). Is 37 a factor of h(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, g: 1, e: 2, m: 3, n: 2, x: 6}. Give prob of picking 1 x and 3 m.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2047 (base 8) in base 9?\nAnswer: -1411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 8*x + 9. Let z be j(9). Suppose -4*o + k = -0*k - 122, 2*k - 4 = z. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*3*(sqrt(117) + 4).\nAnswer: 26 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10554 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*o**3 - 139*o**2 + 803*o.\nAnswer: o*(o - 11)*(6*o - 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 6 + (-90 - -83) - 8.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-304)\/(-32)*(-10)\/5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (1 + -4)\/((-3)\/10) and -18*3\/((-18)\/2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/40*62\/(-31)*(-8)\/(-4).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 9 = -4. Let m = p - -6. Suppose -m*v + 26 = -64. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 114 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -209 - 0.05626?\nAnswer: -209.05626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-207)\/36 - (-4)\/(-16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 x when four letters picked without replacement from {a: 5, x: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**4 + 2*b**2 + 4*b + 30. Let x(k) = 5*k**3 - 5*k - 5. What is 6*r(y) + 5*x(y)?\nAnswer: y**3 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*q + 24, -83*m - 3*q - 17 = -85*m. Which is smaller: -6\/3179 or m?\nAnswer: -6\/3179","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618082362 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 22 = 5*w, 0 = -2*w + 4*w - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 14*a**3 + 591*a**2 + 102*a - 994. Calculate b(-42).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 16*f. Let s(q) = -2*q + 31. Determine k(s(n)).\nAnswer: -32*n + 496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 177?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 496*n + 7667. Give j(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.113 + -0.187. Which is the nearest to 1\/4? (a) t (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -603\/593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 115 and -0.645159?\nAnswer: 115.645159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 2*q**6 - 7*q**3 + 33. What is the third derivative of x(h) wrt h?\nAnswer: 720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1326915412 * -0.5.\nAnswer: 663457706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 5*s - 31. Let h(p) = 2*p**2 - 11*p + 62. Suppose -v = 8 - 2. Let u(k) = v*h(k) - 13*b(k). What is the units digit of u(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63 - -50 - 15) + 0 + 3 + 0?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 1:46 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 6.\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*x - 39*a + 38*a, x + 1 = -6*a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12*(2\/4 + 1))\/2. Let q be 357\/f + 18\/54. Solve -3*y + 3*d = d + 7, 4*y + 5*d = -q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 9*q + 4*q - 4 = 4*z, -28*z + 172 = 4*q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c + 1136 = 18*c - 49*c for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/n**(-5\/7))))\/n**0 assuming n is positive.\nAnswer: n**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8595 divided by -2865\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 18 = -4*g, -4*m - 103*g = -99*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**3\/2 - a. Let q(f) = 4*f**2 + f. Let o be q(-1). Let h(k) = 3*k - o*k + 2*k. Determine m(h(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 + 88. Let m be (-2)\/(-5) - (-16)\/10. Suppose -m*y - 4*r + 61 - 11 = 0, 0 = 2*y - r - 25. Calculate the highest common factor of b and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q**4 - 3*q**5 - 780*q**2 - 11907*q - 12608544*q**3 + 12608910*q**3 + 24*q**2 = 0 for q.\nAnswer: -7, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118002*v + 63439*v + 27600 - 27600.\nAnswer: 181441*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/12 + ((-32)\/(-24))\/(-1). Solve 5*v + 80 - 90 = k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1130 + -1?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/12 + 11*n**2\/6 - 25*n\/4 + 9\/2.\nAnswer: -(n - 18)*(n - 3)*(n - 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 + 1040212*v\/5 - 135255125618\/5.\nAnswer: -2*(v - 260053)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4272859757?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86593.67 weeks to days.\nAnswer: 606155.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64751?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 16*v - 5. Let y(w) = -2*w**2 - w - 23. Let x(c) = -c**2 + c - 2. Let m(k) = -3*x(k) + y(k). Let h be m(-4). Give t(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (1 + -1) - (724 - 733).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1264 = -42*f + 214 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 413 + 107 = 0. Suppose 4*b - 3*s + 7 = -39, 5*b - s + i = 0. Let k be (74\/(-4))\/(5\/b)*1. What is the greatest common divisor of 259 and k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -1924*l - 72. Let q(u) = 679*u + 24. Calculate -17*q(z) - 6*t(z).\nAnswer: z + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2 - 11*t**2 + 7*t**2 + 3*t**2. Let h(f) = -10*f**2 + 3*f - 3. Let d(l) = -161*l**2 + 49*l - 49. Let w(i) = -3*d(i) + 49*h(i). Calculate w(z(u)).\nAnswer: -63*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3276 and 27468?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 - 3594*a + 3594*a - 3*a**3 - 3*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -219960000 to the nearest 1000000.\nAnswer: -220000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 909, 1, -201, 0.27 in descending order.\nAnswer: 909, 1, 0.27, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 18 = -2, 4*m - 22 = 2*h. List the prime factors of 26\/h*255\/(-10).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -839*d - 609*d - 320*d + 492*d.\nAnswer: -1276*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 12*u**2 - 11*u + 4. Let t be x(11). What is t rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65*f**3*x**4 + f**3*x - 9*f**2*x**2 - 36*f*x**5 + f*x**2 + 10*f*x wrt x?\nAnswer: -1560*f**3*x - 2160*f*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 17*c**8\/168 - 2*c**5\/15 - 8*c**2. What is the third derivative of v(h) wrt h?\nAnswer: 2040*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten thirds of a minute?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 247054?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*f**2 + 30*f**2 - 8 + 34 - 7*f**2 - 4*f**2 in the form m*f**2 + v + x*f and give v.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -4.9 (c) 0.0647 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*((-6*(-1*sqrt(147) - sqrt(147)) - (sqrt(147) + 0 + (0 + sqrt(147))**2)) + 3)*3 + 1).\nAnswer: -15558 + 8316*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1873 - 560 = 186*n + 1519 - 46 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -36. List the prime factors of ((-440)\/66)\/(-1 - k\/12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 729.9326 kilometers to millimeters.\nAnswer: 729932600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 60\/31 (b) -1\/2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-8\/7)\/w)\/(w*w**(1\/4))*w*w**(-6)\/w*w*w**4)**20 assuming w is positive.\nAnswer: w**(-615\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2. Let g(b) be the first derivative of 2*b**3\/3 + 2. Let t = -4 + 6. Suppose 0*y = -2*o + 4*y - 12, 4*o + 3*y = -t. What is o*g(u) - 3*v(u)?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 9*m - 15. Solve -3*z - 6 = -m*d, -z - 2 = -d + 2*z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4446.67284 rounded to the nearest integer?\nAnswer: 4447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*z + u - 2, 4*u + 30 = 2*z. Suppose 102 = z*y - 4*i, -93 = y - 6*y + i. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1073475 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.9 + 4.8. Which is the biggest value? (a) 0.2 (b) 20 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3825 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-23)\/(-7) + (-64)\/(-4) + -19. Suppose 4*z - 7 - 10 = -5*f, 5*z - 3*f = -25. Which is the nearest to 1\/2? (a) 0.2 (b) r (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5785 + 170*t**4 - 5784 - 45*t**4 + (2*t**3 - t**3 + t**3)*(-1 + t + 1).\nAnswer: 127*t**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b**(1\/15))\/b)*b)\/(((b\/(b**(2\/71)*b))\/b)\/b))**10 assuming b is positive.\nAnswer: b**(8438\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055 times 34780.1?\nAnswer: 1912.9055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*m**3 + 193*m**3 + m**2 - m**2 - 382*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 14 = -m, -4*a - 6 + 43 = -5*m. Let x(u) = u**3 - 3*u**2 + u - 1. Let t be x(a). What is the tens digit of (13 + -12)\/(t\/506)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 522 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1633 and 2556.\nAnswer: 58788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + -11 + 27 + 8 + (22 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-174 - -157) + 2*16.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(70)*-2)\/(-6*3*sqrt(10)).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14344131, -28688260, -43032389, -57376518, -71720647?\nAnswer: -86064776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 13*q - 2*n - 3054 = 0, q + n + 609 = 0. Let g = -26927\/44 - q. Is g equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -231 (base 6) to base 11\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254 - 254 + 4*p - 2*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3041531 (base 7) to base 10.\nAnswer: 363161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i + 0*i - 5*i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 6*n**2 + 3*n - 8. Suppose -12 - 6 = m. Let s = -12 - m. Calculate the lowest common multiple of k(s) and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**3 - 29*l**2 - 24*l - 151. Let w be u(-10). What is the highest common divisor of w and 756?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -102 < 19\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + ((-1*(3 + sqrt(288) + sqrt(288) + sqrt(288) - sqrt(288)))**2 - sqrt(288))*6*6).\nAnswer: -41792 - 4752*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1882202928 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**5*x**2 + 23*o**5*x - o**2*x**2 + 670*x**2 wrt o?\nAnswer: -120*o**2*x**2 + 1380*o**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -36. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 235091 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.16103 months in millennia?\nAnswer: 0.0008467525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8981 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*y + 99645, -589*y + 590*y + 4*q = 33175. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 109807*j + 156462*j - 5146*j - 39555*j + 4.\nAnswer: 221568*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6465 - 214?\nAnswer: -6680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 10:20 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, z: 2, r: 1, i: 1, u: 2, h: 6}. Give prob of sequence pi.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 257*p. Let s(o) = -2*o. Give s(t(c)).\nAnswer: -514*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 665.584701 - 645.5847. Let w = y - 20. Round w to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/675 + 683\/2700. What is the closest to -2 in 0.1, -8\/7, y?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 - -83. Let h = -21 + g. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 737\/940 + 3\/188. Factor 6\/5*c**2 + j*c + 0.\nAnswer: 2*c*(3*c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srws when four letters picked without replacement from msmwawmwmsr.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 2\/11, 4.6, 30 in descending order.\nAnswer: 30, 4.6, 2\/11, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 32 + -29 + -15\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/21)*n**(-1\/2))\/(n**(3\/2))**24 assuming n is positive.\nAnswer: n**(-1529\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1780 and 3020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d*l*r**2 - d*l*r - 16*d*l + 3*d + l*r - 18*l + 59*r**3 wrt r?\nAnswer: -2*d*l*r - d*l + l + 177*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.176 - 806043024773?\nAnswer: -806043024772.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 332\/5 - 66. Let b = -4078 + 4076. What is the nearest to 2\/7 in f, b, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ttttrtvtttvvut?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-2 + 3 - (5 - 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 3:11 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + ((sqrt(152) - sqrt(152)*6) + sqrt(152))*-4)\/sqrt(8)*3.\nAnswer: 51*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2 - 211*h + 4. Let q(y) = -19*y. Calculate q(f(b)).\nAnswer: -57*b**2 + 4009*b - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-7) - (-120)\/(-28). Let i be (1 - -1)\/((-2)\/y). Let d = 0 - 0. Put d, 2, i in increasing order.\nAnswer: d, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211313 (base 4) to base 2.\nAnswer: -100101110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 184.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132738.16643 - -110.\nAnswer: 132848.16643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31665413939 - 4.\nAnswer: -31665413943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*k*q**2 - 4*k*q + 660*q**2 with respect to k.\nAnswer: -24*q**2 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1301 - -1299. Which is the closest to v? (a) -2 (b) -5 (c) -3\/7 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19\/4 - 7\/(-28). Suppose 8 = m*g - g. Suppose -g*r + 7*r = 485. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1555305 or 348?\nAnswer: 348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -298 divided by -8.\nAnswer: 149\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c6599 (base 15) to base 9.\nAnswer: -1157760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23771*g*u*w - 25875*u*w + u - 2*w wrt g.\nAnswer: -23771*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66660 = -7*c - 6145. Let y = c - 5536. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1079970 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 k, and 1 l when four letters picked without replacement from lbcbkcb?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7922765?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18101393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = 5 - 33. Suppose -2*c + 86 = -3*p - p, -i*c + 133 = 5*p. What is the remainder when c is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + 3*h - 5*h + (2 - 2 - h)*(2 - 5 + 0) - 3*h + h + 3*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -189 + 195. Solve x*v - 11*v + j - 6 = 0, 8 = -4*v + 4*j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 41, 134, 293, 524, 833, 1226, 1709, 2288?\n\"Answer: b**3 + 27*b**2 + 5*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c74b (base 14) in base 6?\nAnswer: -3112355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 20 = -2*f, 6*f - 7*f + 8 = 3*p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 870084 and -6489?\nAnswer: 876573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 x when three letters picked without replacement from {f: 9, r: 8, d: 2, x: 1}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 858 divide 1019048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 26*c**2 - 2649*c + 78660. Determine f(32).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 220 + -65. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1855 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: Product of -20 and -8.5.\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*b**2*i**2 + 6*b**2 + 6*i wrt i.\nAnswer: -76*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/3, -1, -6, 5.\nAnswer: -6, -1, 1\/3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*h + 533 = -3*n - 518, 49 = 2*h + 3*n for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -394 - -398. Suppose f - 51 = -3*s + 6*f, 12 = 2*s + h*f. What is the greatest common factor of 444 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -1\/4, 13\/7, -13\/16, -5, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3941875*l - 3809022.\nAnswer: -3941875","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 13. Suppose 4*s - s = g. Suppose -144 = -s*w - p, 5*w = -p - 4*p + 240. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515.7127565 rounded to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -9625*b**3 - 19246*b**2 - 9617*b + 4 = 0. Calculate b.\nAnswer: -1, 4\/9625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6)*(6 - 54\/12). What is the closest to 10 in 3, 2\/17, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((6 + 2 - (-12 + 16)) + 8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*2*(-2)\/4. What is the nearest to 2 in -0.2, k, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**2 + 5*s**2 + 4*s**2 + 0*s**2 + 3*s**2 - 4*s**2 + (3*s - 4*s + 3*s)*(4*s + 3*s - 5*s).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-19)*s**9)**(-4) assuming s is positive.\nAnswer: s**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzz. Give prob of picking 4 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-3) + 3\/9. Let t be (9\/(-3) - -3)\/i. Solve 5*z + 6 = z - 5*d, t = -4*z - d + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 43*m**2 + 2*m - 62. Let y(j) = -27*j**2 - j + 41. What is 5*q(i) + 8*y(i)?\nAnswer: -i**2 + 2*i + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1103719866?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*y. Let n = 127 + -127.5. Which is the nearest to y? (a) 1 (b) -0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and 43.2?\nAnswer: -604.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)*c*c*c**(-1\/13))\/(c**(1\/4))**(-1\/3) assuming c is positive.\nAnswer: c**(-311\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/8594373 and -145\/6.\nAnswer: 17188746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*i + 3940. Let m = -523 - i. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 5:45 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -913\/1110 + -2\/185. Let u = 1.2 - 1. Which is the closest to -1? (a) u (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 4*z - 11. Let y be u(3). Let j be 15\/(-60) - 26\/y. Solve -j*x - 1 = 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Sort -1\/7, -1\/4, -0.01936.\nAnswer: -1\/4, -1\/7, -0.01936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -33*o + 69. Let u be x(2). What is the lowest common multiple of 288\/4*(27\/12)\/u and 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 4*o + 0*o**4 + 0 + 0*o**5 - 1\/10*o**6 + 0*o**3 - 3\/2*o**2. Differentiate d(h) wrt h.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*y + 0 + (-y + 2*y + y)*(-3 + 2 - 2))*(y**3 - y**3 - 2*y**4).\nAnswer: 8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 10081.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6357113621 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32557 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from {n: 7, o: 1, c: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/116 and -81\/4.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 8) to base 9.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 3.3. Put h, -1, 0.02 in increasing order.\nAnswer: -1, 0.02, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4298.569 micrograms?\nAnswer: 0.000000004298569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 111018667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6*k = -5*c - 6, 2*k + 4 = 3*c. Let j(g) = g**2 + 1. Let m(h) = h + 1. Let y be m(0). Let t be j(y). Solve -u - t*u + 9 = c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.2 - 1.2. Let y = 8 - b. Let r be 2\/(-12) - (-4)\/8. What is the second biggest value in 0.2, r, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 826868 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 72 in 2, 26, 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 682237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*t - 99 - 25, -132 = -2*t + 3*v. Solve 47 = -4*u + t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 4283*z - 221058. Calculate c(51).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.20000456 - -4.2. What is q rounded to seven decimal places?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8292*s + 8289*s + 169770. Round s to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10051138 - -3?\nAnswer: 10051142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/4))**(-7\/5))**(-1\/32)\/((s**1)**(3\/14)*((s\/(s*s**(1\/4)))\/s)\/(s\/(s**(-2\/13)*s*s))) assuming s is positive.\nAnswer: s**(10403\/58240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 7*h**2 + 4*h + 7. Let q(k) = -k**3 - 7*k**2 - 4*k - 7. Let m(t) = 3*q(t) + 4*v(t). Calculate m(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 203470, 406947, 610426, 813907, 1017390, 1220875, 1424362?\n\"Answer: r**2 + 203474*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 1\/6, 2, 4, 17969?\nAnswer: 17969","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 3*a + 84, 3*a + 4*p = -p - 100. Suppose t + 3*n + 4 + 8 = 0, 5*n + 27 = -2*t. Let m = t - a. What is the highest common divisor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and -27?\nAnswer: 18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 s when three letters picked without replacement from sppppppppppppsppppp.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 488*z**3 + 9*z**2 - 605*z. Let o(f) = 122*f**3 + 2*f**2 - 152*f. Let g(j) = 2*i(j) - 9*o(j). What is the second derivative of g(p) wrt p?\nAnswer: -732*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45513 + 85*f**2 - 45511 + 29*f**2.\nAnswer: 114*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*f = 91, 0 = 2*s + 3*s + 3*f - 137. What is the remainder when s is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 2.3. Let d be (1\/(-4))\/(1 - 0). Let v = -44124 + 44124. What is the closest to v in d, 4, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/2*-2 + -4. Let f be (19 - (o + 0))\/2. Solve 5*t - 3*t = f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -2446043?\nAnswer: -1\/2446043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + n + 1. Let b(r) = -15*r**3 + 2*r**2 + 3*r. Let i(l) = -b(l) + k(l). What is i(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 8 + 7)*(-6*z + 4*z + 4*z)*(-34 - 6 + 9) as w*z + d and give w.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 37, 96, 201, 364, 597?\nAnswer: 912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10885631 is divided by 3628516?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(192)\/sqrt(6)) - (sqrt(3)*1*6 + -5))**2.\nAnswer: -55*sqrt(3) + 463\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(12\/(-18)) + (2 - 0). Solve d = -0 + z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52658*g + 52674*g - 144 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-9) + (-1)\/3. What is the units digit of (2 - s)\/((-3)\/(-33))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 529157 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 55301593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-112)*48*1\/1*2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48652?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 39*i**3 - i**2 + 9. Let s(u) = -38*u**3 + 2*u**2 - 10. Let o(n) = -3*s(n) - 4*w(n). Find the first derivative of o(q) wrt q.\nAnswer: -126*q**2 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 5*j**2 - 3*j + 3. What is the tens digit of d(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 0*y**4 + 0*y**5 + 0*y + 0 + 0*y**3 + 1\/105*y**7 + 0*y**6 - 1\/168*y**8 + 2*y**2. Let t(n) = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 49935.\nAnswer: 49935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531645620.\nAnswer: 2, 5, 11, 257, 9403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 555*a + 181*a - 1338*a + 2 - 2 in the form n*a + u and give n.\nAnswer: -602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5 - 2. Solve -4*i = -0*i + 3*n + d, 0 = -2*i + 2*n + 16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2.22 (b) -0.4 (c) -1\/7 (d) -21 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -95*d**2 + 8*d + 12. Let i be l(-8). Let x = 61379\/10 + i. Calculate the common denominator of -11\/2 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 0*n**2 + 0*n**3 - 39 + 22*n - 1\/12*n**4. Let j(l) be the first derivative of h(l). Let j(f) = 0. What is f?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -492 = -4*h - 0*h. Suppose 5*g - 3*l = h, 4*g + 3*l = 40 + 53. Let d = g - -13. What is the remainder when d is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47140, -47141, -47142?\nAnswer: -47143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3598, 7202, 10806, 14410, 18014, 21618?\n\"Answer: 3604*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k = -4*i + 10, k - i = 0. Suppose 3*x + 3*m + 3 = 0, -2*m + 5 = k*x + m. Find the second derivative of 3*r + x*r**5 - r**5 - 6*r**5 + r wrt r.\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 5*x**2 + 2*x**2)*(-3*x + 3*x - x) + (-1 - 5 + 4)*(5*x**3 - x**3 + x**3) + 0*x**3 - 3*x**3 + 2*x**3.\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s + 17*s - m + 10 = 0, 0 = -5*m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 30*b**2 - 48*b**2 + 28*b**2. Let a(k) = -2*k. Calculate s(a(n)).\nAnswer: 40*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27)\/36*(32\/(-6) + 0). Let k(h) be the second derivative of 0 - 9\/35*h**5 + 0*h**2 + 3\/35*h**6 + 8*h + 0*h**3 + 2\/7*h**w - 1\/98*h**7. Factor k(o).\nAnswer: -3*o**2*(o - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((40\/(-70))\/(4\/(-14))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-3 - 2 + 4)*(0 + 4*w**3 + 0).\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-5 - (5 + -12 + 5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 110.024 - 109. Let t = -0.036 - m. Round t to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f**2 - 11*f + 2. Let x(t) = -t**2 + 2*t - 1. What is h(b) + 4*x(b)?\nAnswer: -10*b**2 - 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -10*g**2 - 24*g + 40 - g**3 + 17*g**2 + 21*g**2. Is s(27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**2 + 179764940*x - 179764936 = 0. What is x?\nAnswer: 1, 44941234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (42\/(-7700)*-11)\/(48\/(-1010)) and -143\/30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 6 - 4\/3*(-49827)\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s - 20 = -23*s. Solve 0 = s*m + 3*m - 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/11 - (-60)\/33. Find the third derivative of -d*h**5 - 584*h**2 - 7*h**5 + 572*h**2 wrt h.\nAnswer: -540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 29*u + 10. Let m(x) = -8*x - 15. Let t(c) = -16*c - 28. Let k(a) = -11*m(a) + 6*t(a). Let g(b) = 22*k(b) + 6*l(b). Give g(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 39*h**3 - 33*h - 33. Let l(m) = -5*m**3 + 4*m + 4. What is 4*a(x) + 33*l(x)?\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4}. What is prob of sequence rrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*s - 18, 0*s + 14 = -g - 4*s. Let c(j) be the first derivative of 2\/5*j + 2\/15*j**3 + 1 + 2\/5*j**g. Find r, given that c(r) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-2\/5)*v*v*v\/(v*v**2\/v*v))\/(v**(-2)*v)**(-1\/4)*(v\/v**(-1\/4))\/v**(2\/7)*(v*v*v*v\/v**(1\/13)*v*v*v)\/v**(6\/5) assuming v is positive.\nAnswer: v**(3657\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 678637983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3209658 - -304920711\/95. Let l = i + -169\/5. Which is the second smallest value? (a) l (b) -0.2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 8:08 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -28*4\/(-8) - 4. Suppose 4*c = 0, -3*c + 11 = -4*f + 51. Suppose x - u = 2*z, f - 53 = -5*x + 3*z. What is the smallest common multiple of 2 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dfixiibbbbb. What is prob of sequence fbii?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2891 rounded to two decimal places?\nAnswer: -3.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -35 and 10308?\nAnswer: 10343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -542 (c) 2\/9 (d) -4.72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssssssssssssiisss. What is prob of sequence isss?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -223 - -220. Which is the smallest value? (a) 29 (b) m (c) 3 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4013 (base 5) in base 7?\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*q - p - 35, -31 = -q + 4*p. Suppose -5*s + q = -31. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14\/11*a**5 + 0*a**2 + 0*a - 18\/11*a**4 + 0 - 4\/11*a**3 = 0. Calculate a.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-2*-3 - sqrt(110))\/(sqrt(90)*-2).\nAnswer: -5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 48, -513 in increasing order.\nAnswer: -513, 0, 1, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, 73, 423, 1181, 2497, 4521?\nAnswer: 7403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 65\/(-150) - (-16)\/120. Let u = 1\/2 - n. Factor 2\/5*v**5 - 2\/5*v + 0 + u*v**2 + 0*v**3 - 4\/5*v**4.\nAnswer: 2*v*(v - 1)**3*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -965615, -964343, -962215, -959225, -955367, -950635, -945023, -938525?\nAnswer: -931135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1171, -2007, -2843, -3679, -4515, -5351?\nAnswer: -6187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 16*w + 18. Let p be t(-15). Suppose 0*s - s - p = 0, 4*f - 109 = -s. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 6*j + 4. Let p be z(2). Let w be 19 + (2 + p)\/(-2). Suppose -20 = -2*t + w. Calculate the lowest common multiple of 40 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 940454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21301 (base 6) to base 11.\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 8:51 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2500)\/(-75))\/((-2)\/(-108)) a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*w - 28, 20*w + 43 = 15*w + u. Let r(l) = -32*l - 284. Let n be r(w). Solve n - 16 = 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - (0 + sqrt(243))) + -1 + -3)**2 - (-2 + ((sqrt(6)\/sqrt(2)*4 - sqrt(3)) + -3)**2).\nAnswer: -18 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2785.98 and 3.4.\nAnswer: -2782.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 103935729*z - 15370024 with respect to z.\nAnswer: 103935729","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 3:28 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381 + 59 = 10*t. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**4 - 892*o**3 - 2648*o**2 - 1760*o = 0.\nAnswer: -220, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 96?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 7 + 2)*(0*a**3 + 2 - 1 - 2*a**3).\nAnswer: -50*a**3 + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 <= 48\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*o + 515 = o, -25 = 5*o. Let m = 238 - y. What is the second derivative of -39*t**5 - 10*t - 130*t**2 + m*t**2 + t wrt t?\nAnswer: -780*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7764784*h**3 + 3882429*h**3 + 3882439*h**3.\nAnswer: 84*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 12\/14 - 7230\/(-15183)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*y - 99*y = 111*y + 396 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(1053) - (1 + sqrt(1053)) - sqrt(1053)) - sqrt(1053))*-6)**2.\nAnswer: 2592*sqrt(13) + 151776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1624 and 15506184?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -0.14125117?\nAnswer: -0.34125117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.09 + -6.91. Let d = 6 + l. Sort 4, -3\/8, d, -4 in descending order.\nAnswer: 4, -3\/8, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10a + 2a386?\nAnswer: 2a495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.08 + 6. Let t = -1.1 - -1.28. Let w = m + t. Which is the nearest to 0? (a) -3 (b) w (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1780 + -609. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 5*f + 63285, 3*g - 3*f - 2*f = 31650. What are the prime factors of g?\nAnswer: 3, 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 325750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2373481 and 4.\nAnswer: -9493924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2373 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -229*z**2 - 21*z - 14. Let h(p) = -76*p**2 - 6*p - 4. Give 7*h(c) - 2*m(c).\nAnswer: -74*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.1 + 0.9. Sort 5, a, -0.5 in ascending order.\nAnswer: -0.5, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/9))**(8\/7) assuming r is positive.\nAnswer: r**(-32\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 40*r**3 + 8*r**2 - 20*r - 4. Let b be g(4). What is the common denominator of b\/567 - (-1 + 5) and 23\/(-9) + -3 + 2?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-554 - -573) + (6 - (-5 - -4)) + (3 - -1).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 736570 rounded to the nearest 10000?\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93775 = 4*u + 136633. Suppose -4*w + 2*w = 796. Let i = w + u. What is i rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 + d**4 + d**4 + (d + d - 4*d)*(-2*d**3 + 0*d**2 + 0*d**2) - 2*d**4 - d**4 + 2*d**4 + 7*d**4 + 4*d**4 - 4*d**4 - 2*d**3 + 9*d**4 + 5*d**3 - 7*d**4.\nAnswer: 14*d**4 + 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbe when three letters picked without replacement from btebbttteetteb.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-680)\/20944*112\/160?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/15 and (-56)\/28 + 47\/25.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -32 (b) -5 (c) -0.75 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/105 - 1\/(-7)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 92\/51?\nAnswer: 92\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a hour in seconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -87*i + 1520. Let b be u(17). Solve 23*a = b*a - 72 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -10*z + 36 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j**5 + 18408*j**4 + 392116*j**3 - 11213184*j**2 + 3171328*j = 0.\nAnswer: -2608, -38, 0, 2\/7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.3304 from 5.0717727388.\nAnswer: 6.4021727388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**8\/2240 + 13*r**5\/120 - r**4\/24 - 2*r**2. Let n(o) be the second derivative of f(o). What is the derivative of n(s) wrt s?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -3715.\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -s + 4*g, s + 5*g = -3*s + 33. Let q(t) = 4*t - 12. Let z be q(s). Find the common denominator of 127\/18 and 2\/8 + 9\/z.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 - 2)*-1)\/((-5)\/(-3))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -7, 1\/10, -28?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**5 + 30*k**4 + 110*k**3 - 540*k**2 - 945*k + 1350 = 0. What is k?\nAnswer: -3, 1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 82637033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4 - -5)*3. Differentiate -5*a**3 - k + 0 - 1 - 3 with respect to a.\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55 - 58 + 113 + 53*l)*(7*l**2 - 2*l + 2*l).\nAnswer: 371*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (1 - -2) - -4) + 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {c: 1, f: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 20103013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**6\/48 - 11*s**5\/20 - 69*s**4\/32 + 143*s**3\/6 - 169*s**2\/4 + 181. Factor v(p).\nAnswer: -p*(p - 2)**2*(p + 13)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 4*n + 24. Suppose 4*t + n = 15. Factor 8*l**3 - 3*l**5 - 8*l**3 + 15*l**t - 2*l**5 - 10*l**2.\nAnswer: -5*l**2*(l - 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003696 rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -133 or -138?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 695464 and 714.\nAnswer: 35468664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1996 (b) 18 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -330, -703, -1068, -1419, -1750, -2055, -2328, -2563?\n\"Answer: r**3 - 2*r**2 - 374*r + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tn when two letters picked without replacement from iymitiniinmmii?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -j + 14. Suppose 13*a = j*a - 15. Let i(p) = 1. Let n(k) = -k - 8. Let x(v) = a*i(v) + n(v). Calculate x(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than 168\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 307643 a multiple of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1675 + 1679. Put -2, 3, n, -33 in descending order.\nAnswer: n, 3, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 2*o + 5*o = 109, 3 = 291*j - 291*j - 3*o for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11921349 divided by 5.\nAnswer: -11921349\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 272 = -3*u, -z = 3*u + 4*z - 260. What is the greatest common divisor of 342 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 6076084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291, -509, -581, -435, 1, 799, 2031?\nAnswer: 3769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.068, 5 in descending order.\nAnswer: 5, 2, 0.068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 5*k + 10, -932*u - 3*k = -928*u - 29 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + l**2 - l + 90. Let x be r(0). Round x to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3544000 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(6\/7)\/y))**9 assuming y is positive.\nAnswer: y**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/17 and -31\/11?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.605 to 1 dp.\nAnswer: -14.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 7 (c) 1\/6 (d) 10\/39 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o - 315. Let y(x) = 6*x - 50 + 168 - 2*x + 354. Let z(m) = -7*j(m) - 5*y(m). Find the first derivative of z(u) wrt u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v - 26 = -62 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 12, c: 2, r: 3, g: 2, b: 1}. What is prob of sequence mrm?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 583 (base 9) to base 5\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -5*a**3\/3 + 2905*a**2 - 5805*a + 1679. Factor r(i).\nAnswer: -5*(i - 1161)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(4\/(-2 - 6)). Suppose 1 = -d + r*d. Suppose 4 = -5*k - d. Is -2\/3 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 73 - 8 = 0. What is the nearest to y in -1, -11, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*v - 5*v. Suppose 0 = 2*b, -v*l - 7*b = -4*b. Suppose 0 = -3*h - 3, -3*p - 2*h + 7 = -l*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (-10 - 4 - 13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.8458 + 0.1728. Let c = n - -1.94. What is c rounded to one decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 + 291*a**2 + 570*a.\nAnswer: 3*a*(a + 2)*(a + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35.9 - 39. Let b = 2.7 + w. What is b rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 474800 divided by -9496\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -2, -19814, 1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*b - 36*b + 18. What is the common denominator of 25*((0 - 3) + (-390)\/(-140)) and (-2)\/b*(-4 + 356\/200)?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 990138.\nAnswer: 2, 3, 59, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*a**3*c**2 + 3*a**3 + 8*a**2*c - 3*c**3 - 6*c**2 + 60*c + 1 wrt c?\nAnswer: 28*a**3 - 18*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2695)*3 - sqrt(2695))\/(sqrt(25)\/sqrt(5)*-6))**2 - (-5 + -1*(-4 + 2*sqrt(1584) - sqrt(1584)))**2.\nAnswer: -13726\/9 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-200)\/(-75))\/(1 + -3).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhm when three letters picked without replacement from hmhmmmm.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -82 + -8424?\nAnswer: -8516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/3 - (5 + 7)\/6. What is the third smallest value in q, -0.1, -5, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -386, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 10) to base 6\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3965, 7835, 11705, 15575, 19445?\nAnswer: 23315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 214 + 118. Suppose 5*l - 5*d + d - 550 = 0, 0 = 3*l - 2*d - i. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 764.77344\nAnswer: 3823.8672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15845 - -15839. Let b(r) = -r**2 + r + 30. Give b(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -45*h**2 - 624*h + 773. Let m(d) = -7*d**2 - 104*d + 127. Let v(z) = -39*m(z) + 6*o(z). Factor v(q).\nAnswer: 3*(q - 1)*(q + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 491?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 357*i**4 - 1073 - 2*i**3 + 2*i**2 - 1063 + 3206 - 1072 in the form w*i**4 + q*i**2 + y*i + b*i**3 + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2 = -6. Let g = -3 - -2.9. Put g, i, 1\/2 in ascending order.\nAnswer: i, g, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 20 = -x, -4*j + 3*x + 4 + 1 = 0. Suppose j*n + 14 = -16. Which is greater: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 60 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23711, -47418, -71119, -94814?\nAnswer: -118503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 8:33 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (-168)\/18 - (14 + -13 + 5). Which is the fifth smallest value? (a) -0.01 (b) -0.5 (c) -1 (d) j (e) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-10)*(-209)\/(-627).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5268106 rounded to two decimal places?\nAnswer: -2.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.339 - -18032798?\nAnswer: 18032817.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.259 and -341.\nAnswer: 88.319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/14)\/(2\/7). Suppose -g + 12 = 5*r, 5*i - 53 = -4*r. Solve -5*m = -15, -i = 3*q - 3*m + 2*m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*a + 2*a = 24, 3*v - 4*a + 61 = 0. Let m = 11 + v. Let r be (-6)\/3*8\/m. Solve 3*g = f + r + 1, 3*g = 5*f - 9 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/12 - -1*1222\/156. Let a(y) be the third derivative of y**6\/15 + y**5\/20 - 3*y**4\/4 + 7*y**3\/3 - 2*y**2. Is a(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10755\/7 + 1536. What is the nearest to -3\/7 in 0.17, c, 2\/15, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 257, 248, 237, 224, 209, 192?\n\"Answer: -p**2 - 6*p + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16584.\nAnswer: 2, 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -5.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 28*y + 5. Let k be z(-28). Suppose 3*p - 125 = -4*r + 57, -k*p + 313 = -3*r. Calculate the remainder when p is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132281445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/179998 and -151\/234.\nAnswer: 1619982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 164? (a) -932 (b) 0 (c) -2.69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5611 is divided by 240?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 672 and 35690312.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1383 (base 12) in base 3?\nAnswer: 10002200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.09 - -0.21. Put 5, -3, f in descending order.\nAnswer: 5, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30.2 - 28. Let x = 0.6 - c. What is x rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5792\/640 - 9)*4)\/(1\/245).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*((sqrt(432)\/(sqrt(12) + (1*sqrt(132))\/sqrt(11)))\/((sqrt(72) - 2*sqrt(72)*1)\/sqrt(6)))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 2*s - 2*s)*(-20*s**2 - 469*s**2 - 369*s**2 + 71*s**2) in the form p + d*s**2 + c*s + i*s**3 and give i.\nAnswer: 1574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 427, 868, 1475, 2242?\nAnswer: 3163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 81922335.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -13 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*t - 19891 = 3717, -4*b = -4*t - 23620. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -17. Suppose 440 = -j*s + 24*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -491 and 146339.\nAnswer: 145848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmd when three letters picked without replacement from {m: 1, q: 1, j: 4, d: 4, v: 4, c: 4}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1234*o**3 + o**2 = 0 for o.\nAnswer: 0, 1\/1234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*m + 5880 = 145*m. List the prime factors of m.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1842*x**3 - 1808*x**3 + 3651*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssooooooos. Give prob of picking 3 s.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1178 divide 329946739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -4 + 1 - 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 12\/198090869?\nAnswer: 12\/198090869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 68 + -717?\nAnswer: -66b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -141 - -141. Suppose -3*m - 4*m = -l*m. Solve m = -2*f - 6 + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 701610 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -855599, -1711198, -2566797, -3422396, -4277995?\n\"Answer: -855599*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(3\/4)\/z)\/z)\/z)**34\/(z\/(z*z*(z**6*z)\/z)*z*z*z*z**(-1\/11)\/z))**16 assuming z is positive.\nAnswer: z**(-12568\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62672*k + 4011 + 62673*k - 2437*k**2 + 504*k**2 wrt k?\nAnswer: -3866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f. Let u(g) be the first derivative of -2*g**2 - 2*g**2 - 110 + 5*g**2 + 125. Determine u(q(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r = -6. Suppose -m + 6 = r*m. Suppose 0 = -2*w + 56 - 16. Solve -m*k = 3*k - w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3626914 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -22.1. Let p = 0.1 - s. Let n = 13.379 + -13.439. Which is the smallest value? (a) -1 (b) -4 (c) n (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 0 - (2 + (-3 - -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 9:04 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-627)\/(-836)*(-264)\/(-9)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 8*r**2 + 5*r - 6. List the prime factors of u(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2 + (sqrt(325) - (sqrt(325)*1)**2*6) - (2 + 3 + sqrt(832)*-1)**2).\nAnswer: -2808 + 85*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 + 2*4\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9998 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2931745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/33316 and 7\/2?\nAnswer: 33316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -caac82 + 5?\nAnswer: -caac7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6 = -5*j + j, -4*i = j - 7. What is the nearest to -1 in -0.5, 6, i, -40?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.087 - 0.037. Suppose 24*l = 13*l - 22. What is the nearest to x in 3, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4*(-36 + (-1349)\/(-38))*28?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13008)\/230892*(1*-2)\/(-4)?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 11. Solve -q*b + 6 = -4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 6, -4\/9, 0, -1\/4 in descending order.\nAnswer: 6, 3\/7, 0, -1\/4, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 6*w**2 - 5*w + 16. Suppose r + 2 = -b - 3, -3*b - 2*r - 17 = 0. Calculate the remainder when 5 is divided by l(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1. Find the third derivative of y**4 + 0*y**2 - 2*y**g + y**2 wrt y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.25 - -0.45. Suppose 0*p = 4*p. Which is the nearest to 0.2? (a) h (b) p (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841012?\nAnswer: 2, 167, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m - 17. Calculate t(-11).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 44 = -18*h. Let n(m) = 135*m - 27. What are the prime factors of n(h)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 132 - 135. Which is the biggest value? (a) q (b) -18 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*g**2 - 16104*g + 1034349 wrt g?\nAnswer: 34*g - 16104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3246)\/(-3) - ((-55)\/11 + 4). Calculate the greatest common factor of s and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 5*a**2 - 2*a + 3. Let w(p) = -p**2 - p + 1. Let i(k) = s(k) - 2*w(k). Let j be i(2). Let g = 217\/365 + 2\/365. Sort j, g, -1.\nAnswer: -1, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2952764 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: Suppose -17*i - 6460980 = -4*i - 4*v, i = 4*v - 496980. Round i to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2. Let u(i) = 14 + 25*i - 8*i - 20*i. What is u(q(m))?\nAnswer: -3*m**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 4*r + 3*r - 3*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*l - 112 - 37 - 75 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18981838.\nAnswer: 2, 9490919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*l - 332 + 437. Calculate the least common multiple of l and 121.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -14*y**2 + 12604*y + 37809. What is i(-3)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 175*g**4\/4 + 187*g**3\/6 - 83*g**2. Is o(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 668 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9526.204 nanograms?\nAnswer: 9.526204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 109 - 49 = 0. Suppose -4 = -4*o - 4*w + 32, -o - 3 = -3*w. What is the remainder when s\/(-4) + o\/(-4) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 4*f - 3. Let h be k(3). Let s be -3 + 4 - (2 - 48\/(-1)). Let x = 46 + s. Is h at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 293*v + 111264. Determine x(-380).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*t - 404 = -1039 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 6 = 7*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -89*r**2. Let b(h) = -2*h**2 + 1031875. What is b(p(k))?\nAnswer: -15842*k**4 + 1031875","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 25*j**2 - 24*j + 3. Let i be q(24). Solve 3 = -2*g + 13, -i*u + 17 = 4*g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000041011 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, d: 8}. What is prob of picking 2 d and 1 t?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 178, 165, 142, 103, 42, -47, -170?\n\"Answer: -f**3 + f**2 - 9*f + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24948 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6976 and 22018.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 102002120 (base 3) in base 10?\nAnswer: 8088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4511929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - -5. Let c be -32*(0 - 10\/4). Calculate the highest common factor of c and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.697981 rounded to 2 dps?\nAnswer: 129.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 5, b: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -273.236 + 268.8. Round d to 1 dp.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1201443 + -1?\nAnswer: 1201442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -3. Let v be y\/(-3) - (-188)\/12. Suppose 3*h = 3*c - 9, -4*h = -2*h + 3*c + v. Is h < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4651 rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 109*s**2. Let r(l) = -6238*l + 6210*l + 2 - 2. Calculate o(r(b)).\nAnswer: 85456*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 11. Suppose 2*q = q + h*f - 15, 0 = -4*q + 4*f - 124. Let s = 135 + q. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q - 5*h - 124 = 0, 93 = 3*q + 2*h. Let o = q + -46. Is 5\/o + 4422\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from rhvvsvrrvsrvvvvvhvv?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -157 + 170. Suppose n*v = 28 + 11. Solve -v*c = -8*c - 5*h, -10 = 2*h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*g + 133, g = -4*z - 3*g + 168. Let q = 266 + -190. Let h = q - z. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/((-247)\/(-52)) - -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4075 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -0.3. Suppose 2*t = -3*t - 30. Let k be 2\/t*(-15)\/20. Sort 0.5, k, x.\nAnswer: x, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1749 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 11*x - 335. Give i(26).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5 - 6*y + 4 - 8. Let q be o(-2). Solve 3*i = -5*h - 8, 19 = -4*h + q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a hour in seconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + (sqrt(1792) + sqrt(1792)*3)\/(sqrt(16)*-2))*-4)**2.\nAnswer: 114688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 28*j - 1. Let x be q(1). Sort 0, 3, x in ascending order.\nAnswer: 0, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16102 + 16101. Sort 9, 107, s.\nAnswer: s, 9, 107","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 3*u**2 - u**2)*(-6 + 10 - 6*u - 5).\nAnswer: 6*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 1 (b) 0.3 (c) 1\/8 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12.605 and 0.3.\nAnswer: 3.7815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 8*n - 5. Let p be w(-7). Let d(k) = 9 + 2*k**p - 2 + 2 - 9*k - k**2. What is d(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*s**4 + 20*s**2 - 15?\nAnswer: 8*s**3 + 40*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 43, 43, 41, 37, 31?\n\"Answer: -y**2 + 3*y + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103222 + 0?\nAnswer: -103222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6535 - 6482.00175. Let d = 53 - k. Round d to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 975 and 540?\nAnswer: 35100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 141996 and 189328.\nAnswer: 567984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3004058?\nAnswer: 2, 127, 11827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1\/4, -51.78, 4, 1.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**4\/4 + 22*l**3\/3 - 6*l**2 - 31*l - 134. Is 11 a factor of m(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a kilometer in meters?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 4*y - y)*(-2 - 1 + 1)*(5*y + 3*y**3 - 5*y + y**3 + 0*y**3 - 3*y**3 + (-2*y**2 + y**2 + 3*y**2)*(-y + y + 2*y) + y**3 + y**3 - 3*y**3).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.22 - 1.22. Let k = -0.6 + 1. Which is the closest to -5? (a) d (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/23)\/a)**(-1\/15) assuming a is positive.\nAnswer: a**(22\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaga. What is prob of sequence ag?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2548 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is b4d (base 14) in base 7?\nAnswer: 6326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*s = 3*z - 315, 0 = -2*z - 2*s + 214. What is the greatest common divisor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13456 (base 9) to base 6\nAnswer: -110123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 25 = -3*v - 2*s, 4*v = -2*s + 66. Suppose -v*r = -3*r - 33. Solve 0 = 2*d + r*d - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*d - 6. Let l be 57\/(-9) + d\/3. Let v(m) = m**2 + 6*m + 2. Does 5 divide v(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357637.\nAnswer: 7, 19, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 593 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 6 + 16 = 4*s, 3*o - 2*s - 40 = 0. Calculate the remainder when 48 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4773*w + 269 - 44*w**3 - 29*w**3 + 24*w**3 - 269 - 4773*w.\nAnswer: -49*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 30205 (base 9) in base 2?\nAnswer: 100110110001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + -2*sqrt(11))*1 + (sqrt(88)\/(2*sqrt(72)))**2 + 1.\nAnswer: -2*sqrt(11) + 83\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -90 + r**2 + 11\/4*r**4 + r + 2\/3*r**3. Calculate x(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3, -508, 0.23, -3937?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*l - 18*l**3 + 71*l**3 - 31*l**2 - 27*l**3 - 17*l**2 - 28*l**3 in the form n*l + b*l**2 + p + t*l**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1417013107?\nAnswer: 113, 12539939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 0 - 5 - 1 + 44850*n + 4.\nAnswer: 44850*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -51584 (base 9) in base 4?\nAnswer: -20103133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -215 + 220. What is the second smallest value in c, 1\/12, -0.06?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c051df + 0?\nAnswer: -1c051df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.2, 0.03, 0, -0.25, 1.\nAnswer: -10.2, -0.25, 0, 0.03, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3718 is divided by 419?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/13 - (33\/(-55) - (-27)\/(-5))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 12:21 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 45*m**2 - 197*m - 148. Calculate i(-1).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/10*1\/(-4) - -279. Let x be (-40)\/((4\/s)\/(-1)). Round x to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, r: 3}. What is prob of picking 3 t?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 576 + -559. Suppose 2880 = y*k - k. Is k a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2569, -4480, -6383, -8272, -10141, -11984, -13795?\n\"Answer: b**3 - 2*b**2 - 1912*b - 656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (146*i - 60 + 60)*(-3*i + i + 3*i) - 3 - i**2 + 2*i**2 - 2*i**2.\nAnswer: 145*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*o + 135*o = 569*o + 1264*o. Let y = 4 + -2. Suppose 9 = -0*q + 3*q + 2*c, -y*q = 4*c + 2. Solve o = -5*t - 4*g - 34 + 9, -24 = -t + q*g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5c5a6 - -9?\nAnswer: -5c59b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 428 and 88061?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**3 - 15668*h**2 - 106778?\nAnswer: -3*h**2 - 31336*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*z - 12, 0*m - 5*m + 15 = -5*z. Let g(h) be the first derivative of 1 + 0 + h**2 + 3 + 0*h**m - 3*h. Give g(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113*496.\nAnswer: 56048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -292140.7744 to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*d + 2698 = -3302 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(2)*-1 + -3)**2.\nAnswer: -24*sqrt(2) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 274500 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/9 and 32\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o + 40 = 0. Let s(a) = 4*a + 2. Let w(p) = -11*p - 5. Let c(k) = -8*s(k) - 3*w(k). Let j be c(o). Solve -j = -4*d + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471014 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 8 + 3 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*v**3 - 1 + 6 + 2*v**2 - 11 to f + b*v**2 + z*v + p*v**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 551340533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7\/2, 0.033 in ascending order.\nAnswer: -4, -7\/2, 0.033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/5*(-20)\/24. What is the biggest value in -2\/7, d, -0.01, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5818542 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: Solve -8096 + 48440 = -984*n for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-65)\/26)\/((-3)\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 + 20*o**2 + 2*o - 1. Calculate r(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4252.\nAnswer: 2, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 249 + -a4?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*n + 1 = 2, -19 = -5*b - 3*n. What is the third derivative of -z**6 + 9*z**4 - z**b - 9*z**4 wrt z?\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -9*u - 10. Let a be u\/(-7) + (-103)\/(-7). Suppose -j + 13 = -a. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -63683 greater than -63682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 1, -0.32?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.297 - -0.287. Which is the nearest to -1? (a) 2 (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -37, -1, 110, 0.\nAnswer: -37, -1, 0, 7, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*l. Suppose 0 = -x + 2*b - 3, -x - 4*b = -13 - 8. Solve -g - x = -l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -1 - 40057673*x + 40057664*x - 6*x**2 - 3. Let v(d) = -5*d**2 - 8*d - 3. Let s be -1*5*(-5)\/(-5). Give s*v(h) + 4*g(h).\nAnswer: h**2 + 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q - 3*q + 0*q + (-q + 3*q + 0*q)*(2 + 4 - 5))*(4 + 2 - 5) to z*q + c and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (0 + 3 + -1). What is the derivative of 28 - u**q - 31 + u**2 + 5*u**3 wrt u?\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40590 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 5*j**2 - 29*j**2 + 17*j**2 + 10*j**2 - 9*j + 8*j**2. What is i(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 9*p**3 - 3*p - 7868*p**2 + 16*p**3 + 7870*p**2 + 1. Calculate o(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*a - 15 = -3*c, 2*a + 10 = 4*c. Suppose 3*x - 9 = q - 2*x, 0 = -5*q - c*x + 13. Solve r = -1 - q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3*(-3)\/2. Let u be (1 - -3)*(-1 + 0). Is 5 a factor of (s + u + 4)*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -204 + 205. Let j = -161390\/77 + 2096. Do j and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 7:36 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2\/11 + 74878*d - 8236780\/11 = 0.\nAnswer: -411839, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -874, -5, 3, 66, 14 in ascending order.\nAnswer: -874, -5, 3, 14, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 462 and 2541.\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*w - 319 = 0, 0*w + 5*w = 5*u - 555. Suppose 0 = -7*y + 2*y - 380. Let d = y + u. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 8*r. Let a(o) = o**3 - 4*o**2 - 15*o + 17. Let j be a(7). Let f(d) = -d - 59 + j. What is l(f(w))?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/531 and 25\/9.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 104*a + 11 - 23 - 150*a + 12. Let o(n) = -n. Determine o(b(d)).\nAnswer: 46*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 1\/210*v**5 + 0 + v**2 + 0*v + 0*v**4 + 0*v**6 + 0*v**3 - 1\/735*v**7. Solve c(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 13*z - 1. Let n be s(1). Suppose u - 2*p = 2*p - 11, -4*p - 7 = 5*u. Let j be u\/(-1) + 6 + 51. Calculate the highest common divisor of n and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(-4\/9)\/((w*w*w\/(w\/w**0)*w)\/((w*w**(2\/13))\/w))*((w\/(w\/(w**(-1)*w))*w)\/w)**(-2\/9)*w**(-1)\/w**(-4\/3) assuming w is positive.\nAnswer: w**(-242\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4252 - 12755\/3. Which is smaller: 0.481 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-48)\/(-9) - 1\/3. Suppose 5 = 5*i - 0, 3*i - 63 = -v*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 552\/135 + 2\/(-10). Let u = -17\/3 + a. What is the common denominator of (((-4935)\/188)\/(-21))\/(19\/(-17) + 1) and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one tenth of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -35655613 divided by 299627?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 7. Let z be v(8). Let c = 18 + -14. Let i(n) = -n**2 + 5*n + 1. Let d be i(c). Calculate the greatest common divisor of z and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/140*(-42)\/56)\/((-66)\/42 + 1).\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 0 - 8*h**2 + 0*h - 2\/3*h**3 - 1\/24*h**4. Give n(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*d - 145*d + 54*d to the form v*d + w and give v.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a - 5. What is y(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 1371372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(31\/(775\/60) + 30\/300). Let 37\/8*k**r - 3\/8*k**4 - 2 - 5\/2*k**3 + 19\/4*k = 0. What is k?\nAnswer: -8, -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.8.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*p + 120*p - 62*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 7*s**2 + 5*s - 2. What is j(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-220 - 167 + 466)*(11*a - 5*a - 5*a)*(-4*a + 2*a + a) to m*a + u*a**2 + l and give u.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*b - 33 = 676 - 69. Solve b*c = -18 - 22 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -18. Suppose -5*d + 14 = -286. Suppose j*t - 3*t - d = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 28962 = -10*p. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/27, 0.2, 19.654, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 - 81 + c - 11*c**2.\nAnswer: -11*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = 0, 2 - 1 = -v + 3*x. Let d(o) = -v + 9 - 2*o**2 - 4. Let r(h) = 7*h**2 + 3. What is r(d(g))?\nAnswer: 28*g**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/54 + (-2)\/(-18). Factor u*f**2 + 0 - f.\nAnswer: f*(f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/10148 (b) 0.17 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10 + 5 + 0 + 2*q + 0 wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, y: 6, j: 2, a: 2}. What is prob of sequence jj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.1502386 weeks?\nAnswer: 25.2400848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 9730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 266 and 47804?\nAnswer: 334628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-5))\/(g*g**(-3\/5))*g**(5\/4)\/g**0 assuming g is positive.\nAnswer: g**(-63\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31487845 - 31487847 - 8*x + 3*x + 62975692.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.8 + -26.7. What is z rounded to the nearest integer?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -694525 divided by -5.\nAnswer: 138905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 1:05 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 141, 205, 269, 333?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 7:49 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -1. Let u(z) = -z**2 + 7*z - 5. Let w be u(i). Suppose 0 = -4*t + w*t - x - 12900004, 0 = -4*t + 4*x + 17200016. Round t to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**4\/8 + 11*k**3\/2 + 32*k**2. Let m be a(6). Solve 4*x - 6*w = -w + 41, 0 = -3*w - m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1202*n - 61. Let m be p(-4). What is m rounded to the nearest one hundred?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -5 (b) -2\/3 (c) 8\/2149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 114*c - 22. Let v be n(7). Suppose 0 = 4*r + 2*a - v, -2*a - a + 12 = 0. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.13 and 1184234?\nAnswer: 3706652.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -17. Suppose 2*s - f*s = -10. Suppose 3*j + j = q, -s*q + 2*j = -72. Calculate the remainder when 31 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a. Suppose 8 + 6 = v. Let i(c) = c. Let p(d) = 6*d. Let g(t) = v*i(t) - 2*p(t). Calculate g(m(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5 - 18*k**4 - 52*k**3 - 68*k**2 - 42*k - 10 = 0. What is k?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 0. Let h = f + -11. Suppose 2*q + 4*r + 0 = 24, 2*q + r = 9. What is the nearest to q in -0.2, -3, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1))**(-19))**(-33)\/(k\/k**(-3)*k*k**(-3)*(k*k**(2\/17)*k)\/(k*k*k*k*k*k*k**(3\/5)*k*k*k)) assuming k is positive.\nAnswer: k**(466\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 76*u**2 + 32*u - 57. What are the prime factors of x(-9)?\nAnswer: 3, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (2 - -3) + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3540.06 times -2\nAnswer: 7080.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/7)*w*w\/w**(-1)*w**(1\/4)\/(w*w**(-4\/3)) assuming w is positive.\nAnswer: w**(265\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 258966.4 seconds?\nAnswer: 258966400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 1, m: 1, z: 1, c: 1, d: 2}. What is prob of sequence pn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8717711*d + 8332449 wrt d?\nAnswer: 8717711","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e + 7?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 83*m**2 - 71*m + 912. What is the remainder when 208 is divided by o(-82)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t - 7. Let z be w(-8). Let r be 2\/(-3)*(-3)\/z. Let i = 0.39 - -0.61. Which is the closest to i? (a) r (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*z = -3*p - 8, -3*z - 6 = p. Suppose 28 = 5*w - 2*y, 8 = 2*w - 5*y + 1. Suppose -3*j = w + 6. Put -3, j, p in decreasing order.\nAnswer: p, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22203204 (base 5) to base 8\nAnswer: -573203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.82 and 40.\nAnswer: 32.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286929?\nAnswer: 3, 10627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6*q**2. Let k(a) = -27*a - 138419. Give k(w(z)).\nAnswer: -162*z**2 - 138419","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -177, -427, -787, -1263, -1861, -2587?\nAnswer: -3447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 1:52 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aoff when four letters picked without replacement from oaffffoof.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2565cb (base 13) to base 4\nAnswer: -3123220001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 251*b**2 + 566*b + 15189. Calculate c(-253).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10011101110101 (base 2) to base 14\nAnswer: -3977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9061 - 9040. Solve 66 - 24 = -w*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.636 to the nearest integer.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 203*j**6\/20 + j**5\/30 - j**4\/12 + 315*j**3\/2 - 1021*j**2. Find the second derivative of x(q) wrt q.\nAnswer: 7308*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.32 (c) 1\/5 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 92*s**2 + 10*s - 550. Let i(b) = 29*b**2 + 3*b - 183. Determine -16*i(w) + 5*v(w).\nAnswer: -4*w**2 + 2*w + 178","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/6*153\/(-408). What is the smallest value in -1\/4, -6\/11, -16, m?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.691 + 0.491. Is t != 0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -600655, -2402697, -5406111, -9610903, -15017079, -21624645?\n\"Answer: -l**3 - 600680*l**2 + 5*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 - 71 + 230)*(4 + 2 - 5)*(3*f - 3 + 3)*(-3 + 4 + 0).\nAnswer: 330*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -74, 176, -2, 94, 3 in decreasing order.\nAnswer: 176, 94, 3, -2, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1135 and 7037?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {u: 5, k: 15}?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 4*t**2 - 2*t + 3. Let r be l(3). Let z = 8 - r. Find the third derivative of -4*v**z - 2*v**5 - v**4 + v**4 - 2*v**5 wrt v.\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 47 - 55 = 2*u, -5*u = 3*x + 28 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -9*l - 19. Let k(a) = 5*a + 10. Determine 6*c(q) + 11*k(q).\nAnswer: q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8448376?\nAnswer: 2, 1056047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7966 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 17*t + 4. Let b(v) = 2 + 9*v - 1 - 5*v. Let z = 5 - 14. Let o(q) = z*b(q) + 2*n(q). Find the first derivative of o(a) wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 5*r + 3. Let w be f(5). Find the second derivative of 0*s + 4*s**w - s**4 + 3*s - 4*s**3 wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**7\/126 + c**6\/90 + c**5\/30 + 9*c - 26. Determine x, given that p(x) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2479a - 7?\nAnswer: -247a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 12:46 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -25)*2\/((-6)\/(-9)). What is r in -25*r**2 - 22*r**3 + c*r - 3*r**2 + 4*r**4 + r**5 + r**5 + 4*r**2 = 0?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22451 (base 6) in base 16?\nAnswer: -c7f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 92, 112, 132, 152, 172, 192?\n\"Answer: 20*u + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4428*b = 4445*b - 187 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5 = 2*l. Suppose 3*s = l + 7. Suppose s*n - 48 = 2*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26865 and 1?\nAnswer: 26865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 4\/9, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 50280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*b - 41 - 115 = 0, -a = -4*b + 64. Let g = a - -193\/4. Which is smaller: 0.1 or g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685355 is divided by 57091?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.37 + 1.97. Let t = r - 4. Let j = t - 2.6. What is the smallest value in j, -3, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 222476226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3)*(2*p + 12*p + 0*p).\nAnswer: -42*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f + 3. Suppose -l + 2*p = 5, 0*p = 5*l + 4*p - 17. Let d(x) = x + 0 - l + 2. Calculate -5*d(o) + h(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 137216 and 134.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 2*x, -2*x = -2538*b + 2537*b + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 6*x - 3*x - 10378, 2*x = 5*u - 13007. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29931 divided by 11?\nAnswer: 2721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, -4, 1\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -171.7112 - -3.4482. Let y = -169 - i. Round y to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c\/(c*c**(-1\/2))*c*c*c)**(-49)*(c*c**(6\/7)*c)\/c**(1\/30))**26 assuming c is positive.\nAnswer: c**(-728026\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*s**4 + 7*s**4 - 17*s**4 + (-6*s**3 + 6*s**3 - 2*s**4)*(-2 + 4 - 4))*(1 + 1 + s + 0*s).\nAnswer: 42*s**5 + 84*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**4\/4 + g**3\/3 + 1. What is the units digit of s(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002201 rounded to four dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/10 - (-4369)\/34. Suppose 0 = -42*v + 375 + m. Factor -32*g - 64\/3 - 4\/3*g**3 - v*g**2.\nAnswer: -4*(g + 1)*(g + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5\/5 + l**4 - 6*l**3\/5 - 2*l**2\/5 + 7*l\/5 - 3\/5.\nAnswer: -(l - 3)*(l - 1)**3*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 128 = 5*l. Let u = -30 - l. Solve t = u*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 8:09 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r. Suppose r = 3*z - 439 - 95. Let f = z - 115. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*7\/(-4))\/(2*4\/(-64)). Solve 5*p - 99 = c - 74, -b = -p + 2*c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xll when three letters picked without replacement from xxlxl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(21\/5))\/z*z*z**(2\/11)*(z**(1\/13)*z)**(-6\/29) assuming z is positive.\nAnswer: z**(106972\/20735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-10) + (-418)\/(-855)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 10, 31, 62?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**3 - 2*w**2 + w. Give y(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -37a (base 13) in base 16?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(3) + (sqrt(3) - (sqrt(108) + -1 + sqrt(108))) + sqrt(3)) - (sqrt(147) + sqrt(3) + -3 + -5))*-2)**2 + 1.\nAnswer: 760*sqrt(3) + 4433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/6)\/(1\/(-2)*-2). Which is the nearest to -2\/7? (a) p (b) -0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 15*j**2 + j - 14. Suppose 3*h + 2*k = 47, 0 = h - 4*k + 4 - 15. Let a be w(h). Put 2, 5, -3, a in ascending order.\nAnswer: -3, a, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 - y**2 + 3*y**2. Let l(g) = -2*g. What is m(l(x))?\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*(-4)\/24*298 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -653196 - -653199. Let 17\/4*y**a + 8*y**2 + 0 - y = 0. What is y?\nAnswer: -2, 0, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -144*r**2 + 2699*r + 66. Calculate f(18).\nAnswer: 1992","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4319863 (base 10) in base 8?\nAnswer: -20365167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 44403185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5691580 is divided by 108?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 7:24 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62814420 is divided by 1034.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 8:24 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*i - 7, 2*g - 3*g = 4*i + 15. Sort -2, i, 3.\nAnswer: i, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 243 - 229. Let u = -9 - 4. Let a = u + v. Is a at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1468251 and 70930.\nAnswer: 14682510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9\/7 (b) 357 (c) 17\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -508.4900382 rounded to the nearest integer?\nAnswer: -508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 204.021 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 4. Suppose -k = -2*k. Suppose k = -2*j - 3*z, 3*j - j + 5*z = -4. Solve -x + j = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 59353?\nAnswer: 178059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1830979 and 799?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -99655.27021 to zero dps.\nAnswer: -99655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 15*u + 58. Let i(f) = -40*f**2 + 1001*f - 32. Let c be i(25). Calculate l(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000166591 to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s - 20. Let h be u(-4). Suppose 2*r = 3*p - r - 192, 3*r = -h*p + 263. Let k(c) = 6*c**2 + p + 6*c + c**3 - 31 - 32. Give k(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 + 60. Let y = 3 + 2. Sort s, -6, y in descending order.\nAnswer: y, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 3*g**2 - 5*g + 11. Let a be s(5). Suppose -q = -4*q - a. Let z = q - -80. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5997 = -1086. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -3. Suppose -55 = p + 4*p. Calculate the smallest common multiple of -2 + v + p\/(-1) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 121421077 and 121421077 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.758 times 68\nAnswer: -119.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 1)\/((-3)\/96). Suppose 5*g - 143 = 4*o, 0 = -4*g + 2*g + 5*o + q. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-64)\/(-28) + (-4)\/14. Let o(m) = -m + 0*m + n*m + 73*m**2. Is 24 a factor of o(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/8)\/(-5)*-6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 14 - -13 - (-6 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0030372558 rounded to 4 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 18712?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -157*c + 2. Let z(u) = u + 1. Let y(l) = 2*l + 2. Let v(m) = 3*y(m) - 5*z(m). Let p(b) = -3*v(b) + w(b). Is p(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13245, 26012, 38767, 51504, 64217?\nAnswer: 76900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 5*j - 5. Let x = -15 - -13. Let u be n(x). Solve 2*y + u = -5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8*p**2 - 1. Let o be n(-1). Let b(q) = q**2 + 14*q + 47. Let v be b(o). Solve -i + 0 - v = -w, 4*w + 7 = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19149 and 156117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 14 = -2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 + 4*s**4 + 0*s**4)*(-5*s - 8*s + 2*s) + (-s**3 + 2*s**5 + s**3)*(3 + 3 - 5).\nAnswer: -20*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17076733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**2*r*y + 12*b**2*y + b**2 - 33*b*r + 8*b*y - 8*r wrt y.\nAnswer: -3*b**2*r + 12*b**2 + 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/66516 and 57\/151708.\nAnswer: 109684884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 4*z**3\/3 - 18*z**2 + z + 37. Suppose -u = -5*u + 64. Calculate the remainder when f(u) is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1167, 11\/4, 16?\nAnswer: -1167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 43*q**2 + 69*q**2 + 270 - 12*q - 161*q**2 + 47*q**2 = 0.\nAnswer: -15, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 539786 and 5408?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -91537, -91539, -91541, -91543, -91545, -91547?\n\"Answer: -2*j - 91535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113405\/64 - 1772. Is -1 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 31664*c - 125326112.\nAnswer: -2*(c - 7916)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 2088*y + 450016.\nAnswer: -4*(y - 164)*(y + 686)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = 7*m. Sort -0.5, -1\/5, m in decreasing order.\nAnswer: m, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 37176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-12)*-4 - (7 - 1). Which is the nearest to -0.1? (a) k (b) -0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5382.6 rounded to the nearest 100?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -12*t**2 + 28*t + 56. Give x(-2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 42686*t**2 - 170756*t + 170760.\nAnswer: (t - 2)**2*(t + 42690)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7703 + 7698. What is the closest to 1 in 0.2, 2, v, -163?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -6. Let f = 6 - r. Suppose -40 = 5*q + 5*i, -2*q = -i - i - f. Sort -2, 0, q in ascending order.\nAnswer: q, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + o + 4*o - 12 = 0, 4*j + 2*o = -8. Let s(c) = 2*c**2 - 6*c. Let d(q) = -q**2 + q - 1. Suppose 12 = -3*m + m. Let k(y) = m*d(y) - 2*s(y). Give k(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 5*x**2 - 2*x - 2. Let l = -56 - -60. Calculate p(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -6. Let n(v) = -p*v**2 + 0*v**2 - 3*v**3 + 2*v**2. Determine n(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 84 (b) 2\/15 (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 138105 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 328478363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 427 - 420. What is the highest common factor of 49 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190015 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(704) + 1).\nAnswer: 5 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 34*k = -35*k + 10, 0 = 4*f - k + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**2 + 19*b - 64. Let p(j) = -4*j**2 + 18*j - 66. Let l(z) = 5*i(z) - 4*p(z). Calculate the remainder when 143 is divided by l(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**3 + 1221*v**2 - 608*v + 6. Let d(s) = -s**3 - 6*s**2 + 3*s - 1. Let t(h) = 6*d(h) + r(h). Factor t(f).\nAnswer: -5*f*(f - 118)*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3144 and 21480594.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1246511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 3*i + 16. Let r be (5 + -17)*3\/(-9). What is the remainder when z(r) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 334980 = -3*k. Let i be k\/(-1) + (-17 - -13). What is i rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(7\/4))\/w)\/((w*w**(-1\/20))\/w))\/((w\/w**14)\/(w\/(w\/w**16*w))) assuming w is positive.\nAnswer: w**(149\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -8938*c + 8941*c + 3, 25 = -5*c + 9*m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 2762093.\nAnswer: -2\/2762093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 2:44 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 12125079 = 20*p. Let h = p + 6061693. What is h rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178382724 to the power of 1\/3, to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1315 + 2927. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -415947 less than -415947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-6)\/(o*o*(o**(6\/5)\/o)\/o*o))\/(o**2\/(o**(1\/11)\/o)))**(11\/2) assuming o is positive.\nAnswer: o**(-611\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 214*o**2 + 605*o - 5900. Determine c(-211).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1290708 divided by -513\nAnswer: 2516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6734 and 1554.\nAnswer: 20202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -0.5. Let n = 431 + -431.2. Sort -0.3, h, 0.03, n in descending order.\nAnswer: h, 0.03, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2428 and 83159.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, s: 11}. Give prob of sequence sskk.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 5*w + 11 = b, -2 = -2*b - 2*w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2\/7 (b) 7 (c) -2 (d) -0.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*x - 2*x - 70 = 0, 0 = -3*u + 2*x + 108. Let g(k) = k**3 - 5*k**2 - 10*k + 5. Let o be g(7). Suppose -u = -a - o. Solve a*c - 10 = 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.422 + -53132.\nAnswer: -53135.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 4*i + 1713, -i + 4 = -3*i. Let s = r + 738. Suppose 0*b = -3*b + 5*a + s, -263 = -2*b + 5*a. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/3*((-57)\/(-15))\/19.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, f: 3, y: 1, o: 2, v: 6, n: 4}. Give prob of picking 1 o, 1 n, and 1 g.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 609566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44981239 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2515780480.\nAnswer: 2, 5, 23, 277, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -35*p**3 + 7*p**2 - 37*p - 446. What is the tens digit of u(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.06210938 to one dp.\nAnswer: -22.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 24 = -5*u - 6*j, 2*u = 5*j - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 + 816\/18. Suppose -8 = -j - 4*c, 0 = 5*j + 2*c + c + l. What is the units digit of (-4)\/j*(-96)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m - 1. Let u be s(1). Solve 5*d = -2*v - 11, -3*d + 3 = -2*d + u*v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/(-40))\/((-238)\/51)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -46.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wq when two letters picked without replacement from qwy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 6. Suppose -5*b + 7 + d = 0. Suppose 1 + 3 = b*s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19, -266, -935, -2236, -4379, -7574, -12031?\n\"Answer: -35*m**3 - m**2 + m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*u + 10. Suppose -5*l + 1093 = u*t, 0 = l + 4*t - 7*t - 205. Calculate the highest common divisor of 31 and l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 185738 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 - 5*y + 7. Calculate the remainder when 150 is divided by r(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l - 27*l - 7*c + 6 = 12*l + 146, 5*l = -5*c - 120 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 5, 2\/3, 4\/3 in increasing order.\nAnswer: -3\/4, 2\/3, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 4*d - 12, 3*v + 39 = -d + 42 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -105*q + 627. Determine i(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 544 - 548.155. Let i = -0.12 - n. Let b = i - 4. Round b to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4 = 2*x - 4*x, -2*a + 6 = -3*x. Let k = 127 - a. Suppose -2*u + 2*s = -k - 11, -266 = -4*u + 2*s. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**3 + 54*g**2 - 141*g + 90 = 0.\nAnswer: 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19626 divided by 6542?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1536 - -1543. Suppose -4*w = -3*w. Find the first derivative of w + 1 - 1 + 18*j - g wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/24 + (-34227515)\/(-2520) + 2\/(-9)?\nAnswer: 2, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 37*p = 142125 - 1474007. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -152768 and -0.1.\nAnswer: -152768.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**5 - 195*y**4 - 6400*y**3 - 44220*y**2 - 64480*y = 0.\nAnswer: -13, -8, -2, 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142127 - 7*k**3 - 284249 + 2*k**3 + 142122 + 3*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 928*j**2*o - 5*j**2 - 18*j - 31 wrt o?\nAnswer: 928*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 857.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1830*(1 + 20\/(-30)).\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + t)*(-53 - 36 + 32014*t - 32002*t).\nAnswer: 12*t**2 - 89*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117316 is divided by 214.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-9)\/(-18)*1*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.8290929 nanoseconds?\nAnswer: 0.0000008290929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*i = 69. Suppose 3*h + z = i - 3, 3*z = -4*h + 35. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176c14 (base 14) in base 15?\nAnswer: 114930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1120*u + 17*u**3 - 560*u - 560*u - 10*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 3*l - 2*l)*(l - 4*l + l) + l - l + l**2 - 1 + 1 + l**2 + 4*l**2 - 6*l**2 - l**2 + 3*l + 2*l**2 - l + 0*l**2 + 2.\nAnswer: 5*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**5\/60 - c**4\/4 - 2*c**3\/3 - 13*c**2. What is h(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14433, 14434, 14435, 14436?\n\"Answer: u + 14432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 times 4?\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -79 (c) -3\/5 (d) 21 (e) -3 (f) 220\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.3464 to the nearest integer.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3591.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -113358.09403 to the nearest 1000.\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 7:19 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.585 + 17.785. Which is the fifth smallest value? (a) -4 (b) 0.3 (c) 1\/11 (d) -2 (e) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -21*y**2 + 4*y - 24. Let z be i(5). Let w = z + 528. Sort 4, 3, w, -22 in descending order.\nAnswer: 4, 3, w, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (231\/44)\/(-7)*(1 - 17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 16 = -2*q, -2987*q + 1496*q = -1489*q - m + 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 259*n - 255*n = 3*x - 38, 0 = -3*n - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(23\/4))\/(q\/(q\/((q\/q**(-4\/3))\/q)*q*q)))\/(q**(-2\/27)\/(q\/(q*q\/(q**(-2\/31)\/q)*q)*q)))**(3\/19) assuming q is positive.\nAnswer: q**(-20335\/21204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -151213.93\nAnswer: 151208.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -2 (c) 1\/61 (d) 0.19 (e) 3 (f) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4*(-27)\/81*3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (1 + 3 + 1 + -5)) + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*c + 0*c + 3*c)*(-3 + 2 + 2) + (0 + 1 + 0)*(2 - 2 - c) - 2*c + 4 - 4)*(3 + 2 - 2).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 726395917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -13. Let j be (-2)\/a + (-189)\/(-45). Suppose -2*f + 15 = -j*z - 9, -2*z = f + 4. Solve -f*q = -3 - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68738843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 6*a**2 + 7*a - 4. Let r be m(-7). Let f(v) = -8. Let x(o) = o + 7. Let h(b) = -2*f(b) - 3*x(b). Calculate h(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486979 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (459 - 907 + 454)*(2*b**3 + 2*b - 2*b).\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -264 + 106 - 3*t + 113 + 30*t. What are the prime factors of u(9)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -432*b**2 + 237*b + 1 wrt b.\nAnswer: -864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 1. Suppose 7 = -f + 3*f + r, 3*f + 3*r - 18 = 0. Let s(v) = -v**2 - 3*v - 2. Determine f*s(o) + 2*g(o).\nAnswer: -2*o**3 - o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -713569 less than or equal to -713607?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is a729c (base 14) in base 12?\nAnswer: 1758a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 + 44*o**2 + 198*o - 254. Let i(s) = -6*s**3 + 86*s**2 + 394*s - 509. Let d(f) = 2*i(f) - 5*m(f). Solve d(h) = 0 for h.\nAnswer: -18, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 3:56 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 703154847 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-242)\/308*7)\/(-1)*10?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 77 = 4*o. Suppose -k + 98 = 3*x, 136 = 7*x - 3*x + 4*k. Calculate the remainder when x is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**4\/5 - 6*s**3 - 21*s**2 + 72*s + 432\/5 = 0.\nAnswer: -4, -1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(704)\/sqrt(11) - ((-2*sqrt(4) - sqrt(4)) + sqrt(4))*-4)\/(2*(sqrt(2) - sqrt(128)\/sqrt(4))).\nAnswer: -8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**19)\/d)\/(d\/(d**(1\/8)*d)*d))\/(d*d**(-21)\/d)**(1\/6) assuming d is positive.\nAnswer: d**(-131\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3501961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, h: 3, k: 4, l: 1, t: 3, s: 2}. What is prob of sequence khzz?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -3*c, 2*q + 259*c + 5 = 260*c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0393122 - 96.0335122. Let p = -96 - o. Round p to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08263717618 to four decimal places.\nAnswer: 0.0826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 606 and 132?\nAnswer: 13332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*b + 2)*(7*b**2 + 0*b**2 + 0*b**2)*(-b**2 + 5*b**2 - 5*b**2).\nAnswer: -14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e9 - 5?\nAnswer: -3ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/4 + 416859*u**2\/2 - 57917138307*u\/4 - 231721914252.\nAnswer: -3*(u - 138961)**2*(u + 16)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -160 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -21, -4, 2, -170, 6, 4.\nAnswer: -170, -21, -4, -3, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 222, 2\/19, 2, -2, -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -48630378?\nAnswer: -48630379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5263 - 5262. What is the nearest to -2 in 0.22, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138 + -139.17. Let y = -1.17 - r. Sort -5, -21\/4, y, -2\/11 in descending order.\nAnswer: y, -2\/11, -5, -21\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**4 + r**5 - 3*r**4)*(4 - 2 + 0) - r + 0*r - 39*r**5 + 35*r**5.\nAnswer: -2*r**5 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/30 and -29\/1146.\nAnswer: 5730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 4) in base 8?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2*n - 34696, -8*f + 5*f + 20824 = 2*n. What is f rounded to the nearest one hundred?\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -17*m**3 - 9*m**2 + 29*m - 16. Let c(r) = 4*r**3 + 2*r**2 - 7*r + 4. Let d(v) = 26*c(v) + 6*h(v). Factor d(y).\nAnswer: 2*(y - 2)*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2249 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274492.\nAnswer: 2, 163, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 3. Let s(i) = 3*i - 8. Let p(l) = l - 3. Let h be p(6). Suppose -6*z + 4*z = 4*d + 6, -h*z = -15. Determine d*s(o) + 11*q(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28211326.\nAnswer: 2, 11, 13, 98641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**2 + 10*j**2 + 15*j**2 - 29*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - m**2)*(5*m + 13*m - 25*m)*(1 + 5 - 2) to the form w*m**3 + g + n*m + u*m**2 and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -36?\nAnswer: -7\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 11, 2, 4\/3, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.3162 to one dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**4\/7 - 2742*p**3\/7 - 11019*p**2\/7 + 2742*p\/7 + 11016\/7 = 0. Calculate p.\nAnswer: -4, -1, 1, 918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -158, -258, -358, -464, -582, -718, -878?\nAnswer: -1068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a + 463. Determine l(-47).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 56, -2416?\nAnswer: -2416","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (216\/(-28) - -4) + (-20)\/70.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746505 is divided by 776.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.808 - -0.038. Let p = -0.6 - w. Suppose -3*g - 16 = -19. Put p, 4, g in decreasing order.\nAnswer: 4, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -13*v**2 - 1038*v + 4553. Calculate p(-84).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2288, 0.1, 1, 3, 1\/6, -2\/93?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-8))\/(6\/(-136)*85)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l + 3*l - 7 + 6. Let m(j) = 7*j + 6. Let i(z) = -6*k(z) - m(z). Let w(t) = -27 + 27 - 3*t. Determine i(w(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 0, -92, -350, -858, -1700, -2960?\n\"Answer: -14*a**3 + a**2 + 3*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -17*v + 9 + v - 19. What is the remainder when s(-5) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.32356, -1, 13, -2 in increasing order.\nAnswer: -2, -1, 0.32356, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 34. What is the second smallest value in 0.2, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 550 - 17?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 7 = 2*w, 8*d + 14 = 4*d + 5*w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1864748485+-156\nAnswer: -1864748641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 30*b**2 - 50*b - 196. Let d be f(-4). What is the greatest common divisor of 198 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 92 (b) -33.2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lagazclc. What is prob of picking 1 a, 1 z, 1 l, and 1 c?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -66, -129, -190, -249, -306, -361?\n\"Answer: d**2 - 66*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, 6, 4 in descending order.\nAnswer: 6, 4, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from {a: 2, c: 2, r: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-8))\/(1261\/27742).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41998 is divided by 150?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = 10*m - 59*m. Suppose 2*j = -g + 50, -2*j - 2*j + 102 = 3*g. Suppose 66 + j = m*z. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61443 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 6*x**2 - 4*x - 9. Suppose -46 = 3*u - 25. Is q(u) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/504 - 3\/(-27)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59447191.\nAnswer: 5573, 10667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (0\/27)\/(13 - 18)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1352 and 353379.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96726 is divided by 52?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -104.5017?\nAnswer: -10.45017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5 = -3*w, 0 = 5*w - w - 4*i - 20. Solve w = -5*f + 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.76 - 1.24. What is the third biggest value in l, -1, 2\/3, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 + -55. What is the fourth biggest value in 0.3, -1, 0.5, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.634.\nAnswer: -2.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -995, -3, -27, 4, 3 in decreasing order.\nAnswer: 4, 3, 1, -3, -27, -995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -13187167 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**5\/6 + 2511*v**4\/2 + 3767*v**3\/3.\nAnswer: -v**3*(v - 7534)*(v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*d + 2*s + 4319, 2*d = 3*s + 1739. Suppose 8*f = -d - 55. Which is smaller: -114 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46279372.\nAnswer: 2, 17, 73, 9323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.6 - -3.6. Let r = x + 4. Let a = -0.8 + 1.2. What is the smallest value in -3, 0.5, r, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**3\/3 - 344*n**2\/3 + 4*n\/3 + 344\/3 = 0 for n.\nAnswer: -86, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -375, -1345, -3313, -6627, -11635, -18685?\nAnswer: -28125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -2*q. Let i = -4 - -6. What is the derivative of q*d + 2*d - i*d + 3 wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyi when three letters picked without replacement from {t: 1, h: 1, x: 1, i: 5, g: 1, y: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-17)\/(-9) - 2). Let i = -0.0076 + -0.9924. Are i and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 = -l - 8*l. Suppose -44 = -5*o + o. What is the remainder when l is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -593, -629, -701, -821, -1001, -1253?\nAnswer: -1589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y**2 + 9*y - 3. Let c(s) = -2*s**2 - 3*s + 1. Let b = 1 - 4. Let w(p) = b*v(p) - 8*c(p). Calculate w(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 2:41 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, 2, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1458, -4 in descending order.\nAnswer: -3, -4, -1458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2401 + 2708.2. Let x = d - 307. Which is the smallest value? (a) 8 (b) -0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45*((-2358)\/(-108))\/131*96\/(-9)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11004 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 571343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - 17*f - 12. Let w be u(9). Let s be (-27)\/6 - 1\/(w - -1). Sort 5, 4, -12, s in descending order.\nAnswer: 5, 4, s, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1925\/(-665) - 4\/38.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyjppzjjayyzjjjpp. What is prob of sequence yy?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33959090 and 59770.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*w - w - 2*c, -2*w = -5*c + 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.03 + 6.03. Let z = -6.1 - -0.1. What is the third smallest value in z, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*f + 4*a, a - 19 = -12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1302 and -139\/186?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51a7429 (base 12) to base 13.\nAnswer: -3262035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 32\/10 - (-3)\/(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -1 + 4 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, e: 7, y: 5}. What is prob of picking 2 m?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 8 = -5*r, 2*r = -x - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 218*i**2 + 3*i + 3. Let t(x) = 437*x**2 + 5*x + 7. Let v(q) = 9*p(q) - 4*t(q). Let j be v(4). Is 4\/6 - j\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 - 59. Let j be (x\/(1\/(-2)*-5))\/(-119). Let q = j - -36\/119. What is the fourth biggest value in q, 0, -3\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 1) + -7 + 36. Suppose -a*s - 204 = -1576. Is s less than or equal to 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -5. Let h = q - -2.1. Let w = -45 - -44.6. Put w, 0.5, h in descending order.\nAnswer: 0.5, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 802*m - 2310 + 10280 - 48197 = 21527 for m.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 3:50 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 265 - 263. Solve 3*n + c*n = -r - 16, 5*n = 2*r - 28 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -5, 4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8*p + 12 = 0. Put p, -4, 5 in descending order.\nAnswer: 5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 376*v + 9. List the prime factors of u(1).\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Let a be (2 - 9)*-1*b. Factor -q**3 + 10*q**2 + 3 + 2*q + a*q**3 - 18*q**4 - 3.\nAnswer: -2*q*(q - 1)*(3*q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 20*r + 13. Give j(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15043041 and 99294.\nAnswer: 30086082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128482, 126972, 125458, 123934, 122394, 120832, 119242?\nAnswer: 117618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-4) assuming x is positive.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 0*g + 2*g + 74, 5*g - 25 = 0. Let o be (-7)\/2*(-12)\/s. Suppose 5*p - 3*m + o = 24, 0 = 3*p + 4*m - 19. Put 4, p, -3, -1 in decreasing order.\nAnswer: p, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*(sqrt(891) - (sqrt(891) + -3*sqrt(891)) - sqrt(891)) + sqrt(891) + -2 + 4 + 1 + -4)**2.\nAnswer: -234*sqrt(11) + 150580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/(20188\/(-141316)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**3 - 5*a - 9. Let z(v) = -8*v**3 + 12*v + 22. Give 12*u(f) + 5*z(f).\nAnswer: -4*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -53\/170?\nAnswer: -53\/170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22415346 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + (sqrt(65)*-1 + sqrt(65))*2)\/sqrt(5) - (-5*(sqrt(130) - 2*sqrt(130)))\/sqrt(10))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4393 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -9 + 6 - -3 - (-179 + 223).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14225*p**3 - 16261*p**2.\nAnswer: -85350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - 24 - (24 - 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33779 + 169583\/5. Let s = 138 - t. Which is bigger: s or -3.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1147 is divided by 117?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*v + 476143 = -375838, 4*q + 3*v - 1135965 = 0. Let s be 2 + q\/(1 + 3). What is s rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*v + 2700 + 2052 = 0, 0 = k + 4*v - 1584. Does 48 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -36*u**2 - 2092*u - 231. What is i(-58)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 207, 216?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11169 divide 2394644769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 91455401003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -144801 (c) -13 (d) 0 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z\/(z*z**(-5\/3))*z*z))\/z)\/z)\/(z**2*z)*(z\/((z*z**(-1)\/z)\/z))**(-15) assuming z is positive.\nAnswer: z**(-161\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -8*(4\/(-18) + (-1300)\/144)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 10364 + 1900 = 0. Let a = h + 5408. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 8052380*x + 32209516. Determine t(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmmum. Give prob of sequence hum.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + 1)*3 - (3*(sqrt(208) + 0) + sqrt(208)).\nAnswer: -4*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**2 - 9*d - 1. Let h(k) = -k**2 + 2*k. Let l(j) = 5*h(j) + v(j). Let t(g) = -2*g**2 + 9*g - 9. Calculate 18*l(i) - 2*t(i).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -760384*t**3\/3 - 79076448*t**2 + 1088244*t - 3744.\nAnswer: -4*(t + 312)*(436*t - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2 + 33999352*q - 33999354 = 0. Calculate q.\nAnswer: -16999677, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 2*o + 200 = 0. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 18*d**2 + 235*d + 234. What is r(27)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.341 + 0.059. Let z = -9.7 - -12.7. Which is the closest to o? (a) z (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from erv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9177*x**3 - 46388 + 92771 - 46383 + 0*x**3.\nAnswer: 9177*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.094 (b) -4\/2501 (c) -2 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10217761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7656 times 1?\nAnswer: 7656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -4 (c) -34\/3 (d) -1.5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/55 (b) 0 (c) 37972 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 60*z + 5281. Let b be h(-88). Put 7, b, 153 in decreasing order.\nAnswer: 153, 7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d60b (base 15) to base 8.\nAnswer: -130264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.8686097 plus 319.11?\nAnswer: 461.9786097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 78*k**2 - 2*k - 1 - 6 to the form g*k + n + v*k**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 2*u**2 - u + 3. Let q be o(2). Let x = 12 - q. Suppose x*z = -0*z + 1551. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 + 7*c + 4. Let s(v) = -3*v**2 + 3*v. Let f(z) = z + 1. Let r(q) = -5*f(q) - s(q). Give 5*k(j) + 4*r(j).\nAnswer: 2*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 53 + 14 = 0. Let c(y) be the first derivative of 0*y**2 - 1\/6*y**6 + 0*y**4 + 2*y**a - 6 + 0*y**5 + 0*y. Find the third derivative of c(u) wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 133462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6 + 44\/12. Suppose -1 = -3*o - 2*x + 3, -4*o - r*x = -4. Calculate the greatest common factor of 10 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-12)*(-3)\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 4. Suppose n + 2 = 5*t. Suppose 0 = v - t, 4*z = -5*v + 81. What is the remainder when z is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 13. Factor 15*z**3 - 9 - 14 - 40*z + 3 + 95*z**2 - 50*z**y.\nAnswer: -5*(z - 2)*(z - 1)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + (-9)\/(-12))\/(3\/12). Is 228 - 1 - (y - 2\/2) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 138*v**2 - 10*v. Let o(i) = 139*i**2 - 12*i. Determine 5*o(c) - 6*y(c).\nAnswer: -133*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 - 168 = -4*b. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144920073 divided by -3?\nAnswer: -48306691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 139 = 64. Let l = 3 + -2. Solve -y = -2*i + 1 + l, 0 = 3*i + 5*y - u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.5 + -7. What is the third biggest value in 0, w, -2\/23?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1894666.\nAnswer: 2, 43, 22031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -1\/3*y**3 + 0*y**2 + 0 + 3*y. Let r(a) = 7*a**2. Determine r(t(w)).\nAnswer: 28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 5, 1\/4, -2\/5, 2\/27, -587?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 16*c + 13. Let d be q(16). Suppose 4*k + d = 5*b, -4*b + 4 = k + 2. Calculate the remainder when b + -4 + -2 + 27 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(((-21)\/9)\/(-7)). Let g be (90\/4)\/q - 1. Is -9 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -686, -1379, -2072, -2765?\n\"Answer: -693*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (60\/63)\/(4\/(-6)) - -1. Suppose 0 = -g - 0 - 2. Let j be 6\/(-27) + ((-172)\/(-18))\/g. What is the closest to -1\/4 in j, 6\/11, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26\/(-91)*50568\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(sqrt(39)\/sqrt(3))**2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175 - 146. Put 4, u, 5 in decreasing order.\nAnswer: u, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-24\/11))**(-37\/5) assuming c is positive.\nAnswer: c**(888\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/6)\/((-14)\/(-21)). Let a = k - -1. Solve 7 - a = -f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 14 = 4. Let o be (-52)\/(-133) + (-3)\/(-21)*j. Which is the nearest to -0.1? (a) o (b) 5 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**4\/30 + g**3\/3 + 6*g**2\/5 - 39*g + 12. Let y(b) be the first derivative of z(b). What is a in y(a) = 0?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - d + 2. Let m be x(0). Let p = -10 + 16. Suppose -m*k + p = k. Solve 4 + 2 = k*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 2. Let d be h(4). Let q(z) = -z**2 + z + 1. Let j(c) be the second derivative of 7*c**4\/12 - c**3\/2 - 2*c**2 - 82*c. Calculate d*q(f) - j(f).\nAnswer: -5*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-6)*6\/(-4). Suppose r*f = f + 12. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 665128 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 550834946 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 9*h + 24. Let p be b(11). Let i(a) = -a**3 + 3*a**2 + 2*a - 3. Calculate i(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21030221030 (base 4) to base 16\nAnswer: -24ca4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 571815 and 381210?\nAnswer: 1143630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 302 + -276. Solve 10*f - 14 = i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 49*z**3 - 85*z**2 - 4*z + 85*z**2 in the form u + y*z**2 + o*z**3 + j*z and give o.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(5)*3))\/(sqrt(2) + sqrt(18) + sqrt(1800))*-6 + -5.\nAnswer: -5 - sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -8. Let h be (-48)\/j - (-30)\/(-165). Find t such that -1\/3 - t - 1\/3*t**3 - t**h = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 73 = y, -6 = 122*y - 125*y for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + j**2 - 15. Let v be 3\/9*(2 + -2). Let q be l(v). List the prime factors of q\/9*(-5 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2317 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - u + 56, p = 5*u + 38 - 6. Suppose -237 = -2*f + y, -2*f - 23*y + 21*y = -246. What is the greatest common factor of p and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 110*p**2 + 65*p + 5*p**5 + 70*p**3 + 38*p**4 + 15 - 3*p**4 + 51*p**3 - 31*p**3 = 0. Calculate p.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 2*r**2 - 2*r. Let d be q(-3). Let o = d + 6. What is the second derivative of o*l + 0*l**5 - 4*l + l**5 wrt l?\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/10)\/(11*(-93)\/6820)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (0 + (-6 - -5)). Calculate the highest common divisor of x and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2. Suppose -4*y = -0*y - 8. Let g(t) = y*t**2 - 27 + 27. Give 4*g(l) + 10*u(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.413 + -0.087. Let j = -217\/20 + 45\/4. Sort -10\/3, j, 0.2, n in descending order.\nAnswer: j, 0.2, n, -10\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 19*z + 23*z + 18*z - 58*z - 17. Calculate y(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3424566, -3424556, -3424548, -3424542?\n\"Answer: -c**2 + 13*c - 3424578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/6)\/((-4)\/12). Let n = -1699783\/5 + 6506771309\/19140. Let r = -5\/116 + n. Which is greater: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-32 - 16) + 67)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*p**2 + p**2 - 2*p**2 + (p + 2 - 2)*(-14*p + 14*p + 27*p).\nAnswer: 19*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = y + 30. Let a = y - 17. Let l(u) = -11*u + 13. Let h(d) = -d - 2. Let f be h(-6). Let w(s) = -6*s + 7. Determine a*w(o) + f*l(o).\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*o - 75*o + 32 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -14*s + 6. Suppose -4*k - 13 = 3. Suppose -4*g + 4*r + 20 = 0, 3*r + 0*r - 6 = 0. Let d = g - 18. Let b(j) = 5*j - 2. What is d*b(f) + k*c(f)?\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26063467 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000066321198 to 6 decimal places.\nAnswer: -0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -416127551*u + 617993978 wrt u.\nAnswer: -416127551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**2)\/j)**(-50)*(j\/((j*j**(1\/4))\/j*j))**(3\/19) assuming j is positive.\nAnswer: j**(-7603\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*b**2 - 33*b + 56*b**2 - 118*b**2 + 30*b - 3 - 79*b.\nAnswer: -2*b**2 - 82*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/29582 and -13\/616?\nAnswer: 1301608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 106*v - 3. Let u(t) = 176*t - 5. Let k(x) = -5*b(x) + 3*u(x). Let i(a) = 3 + 16*a - 2 - 61*a. What is i(k(q))?\nAnswer: 90*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6142526 (base 7) in base 12?\nAnswer: -2b4408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1558072461?\nAnswer: 3, 11, 47214317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322*m - 319*m + 963*m - 320*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11831532 and 244?\nAnswer: 721723452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 381.3 + -381. Let d = -0.75 - 0.05. Let x = 1.8 + d. What is the nearest to -2 in -1\/5, u, x?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 4*u - 32 = 133, -1465*o + 1464*o - 33 = 4*u for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 23 = -13. Let d be 305077\/15918 + u + 1. Let g = -3\/2653 - d. Find the common denominator of 97\/30 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, j: 1, p: 2, f: 7, a: 2, i: 4}. Give prob of picking 1 a and 2 f.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.5, 4\/3, 2\/9, -0.1, 0.3 in increasing order.\nAnswer: -6, -0.5, -0.1, 2\/9, 0.3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72854022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 240\/(-880)*55\/(-100)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 92. What are the prime factors of v?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603 at most as big as 599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075076 to the power of 1\/2, to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10098 and 3672.\nAnswer: 40392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/12*-6*(-50736)\/277236.\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. What is the tens digit of 256\/4 - 2\/y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**5\/60 + 5*t**4\/24 - 17*t**3 - 112*t**2. Let v be m(-13). Solve -v*n = 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 11*u**2 + 2*u + 1. Does 10 divide z(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 - 2.6. Let j = 0.06 - 2.06. Let b = j - h. What is the closest to 0.2 in 5, b, 2\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72135 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 3*d + d)*(14 - 20 + 11).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 13*w**2 - 107*w + 1302. Let u be j(14). Let p(g) = g**3 + g**2 + 4. Let k be p(0). Suppose -10 = 3*s - k*s. Solve u*h = 2*h - s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117043287 to the power of 1\/3, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c*g + 332*c + 5401*g with respect to c.\nAnswer: -2*g + 332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 2*h - 5*h)*(2*h**3 + h**3 - h**3) + 3*h**4 - 2*h**4 + 5*h**4 + (-h**2 + 0 + 0)*(-3*h**2 + h**2 + 4*h**2).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.07.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -795 = -8*n - 763. Solve -15 = -z + 3*c - 2, -z - n*c - 8 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-1)*1*-5. Let m = q - -7. Suppose -t + m = -0. Solve -2*v - 1 = k + 2, -15 = t*k - 5*v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 17. Solve 0 = -f - 3, -q + 4*f = -c*f - 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from {e: 1, j: 1, m: 3, y: 1, r: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/1942240 and 31\/17091712.\nAnswer: 85458560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 279 (b) 16 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 105*u**2 - 4*u + 1. Let p be t(-3). Let a = -11521\/12 + p. Calculate the common denominator of a and (213\/20)\/((-18)\/(-15)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 676011?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 8:37 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 14*i. What is r(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from rryy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3502 - -4138. Which is bigger: w or -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 2*v - 3. Let w be f(-2). Suppose -8 = -4*q + 4*o, -q = q - 4*o - 6. Let z = q - w. Sort 3, 0, z in decreasing order.\nAnswer: 3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-12)*1 - 20\/(-6). Suppose -x*k - t = -101 - 156, -5*t - 245 = -3*k. List the prime factors of k.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8534?\nAnswer: 2, 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -q - 5*v, 2*v - 7 = -q - 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1746 - -1750. What is the fourth smallest value in -9, 3, g, -2\/13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8431?\nAnswer: 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -232 + 80. Calculate the remainder when i is divided by 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 3*t = 12, 0 = 3*a - 2*a + 4*t - 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from sbssssbssssssbs.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g = 2. Suppose -4*w + 4 = g*h - 0, -4*w + h + 10 = 0. Solve 0 = -4*v + w + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 7:34 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 212\/7 + -30. Let x = 401\/628 + 96\/157. What is the closest to 1 in x, b, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 618, 1212, 1806, 2400, 2994?\n\"Answer: 594*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 540*j - 6459. Determine t(12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(175) + -1 + sqrt(175) + sqrt(252)*2))**2.\nAnswer: -352*sqrt(7) + 13568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 0, 63 in descending order.\nAnswer: 63, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 25795, 2.\nAnswer: 2, 14, 25795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 16591.18 litres?\nAnswer: 16591180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.6 - 128.5?\nAnswer: -277.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 7:49 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001111100000 + 101011101?\nAnswer: 10010100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.185 + -0.285. Let w be 3\/1*(-10)\/3. Let v = 6 + w. Sort -1\/7, n, v in descending order.\nAnswer: n, -1\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -6, 227, -2, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = y + 2*y + a, 3*a - 99 = -5*y. Let d(g) = g**3 - 3*g + 13*g - 3*g - 21 - 4*g - y*g**2. Does 11 divide d(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 76960?\nAnswer: 2539680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -80. Suppose -t + 7 = x - 15, -2*t - 5*x = -r. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -35, -19\/3 in decreasing order.\nAnswer: 3\/5, -19\/3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**7\/z**6*z**2\/(z\/((z\/(z*z**1*z*z*z))\/z))*((z*z\/(z\/(z*z**1)))**(-1\/8))**(-13\/5) assuming z is positive.\nAnswer: z**(-81\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 580, 1126, 1658, 2170, 2656, 3110, 3526?\n\"Answer: -u**3 - u**2 + 556*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - g = 5*k + 16, 3*k - 4*g = -4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 385 = 2*l. Let c = l + -79. Put 0.4, 2, c, -3 in decreasing order.\nAnswer: 2, 0.4, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0422 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 30 = 3*c, -2*c = g + 2*g + 5. Suppose 3*x + c = 23. Suppose 24 = w + x. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57688, 58597, 59506, 60415, 61324?\nAnswer: 62233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-4))\/(-8 + (-803)\/(-88)). Which is smaller: 183 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315974 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -400, -798, -1194, -1588?\n\"Answer: g**2 - 401*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + (0 - 1) + (-56)\/28. Suppose 16 = -h*a + 8*a. Solve 2*z - a = -6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqdo when four letters picked without replacement from {d: 6, q: 2, o: 1, f: 3, v: 4}.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3\/3 + 73556*o**2\/3 - 112706180*o - 112730700.\nAnswer: -4*(o - 9195)**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 8*n**2 + 12*n - 5. Suppose 2*q - 21 = -v, -4*v = 3*q - 129 + 75. Give t(v).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*y + 20492 = 73*y + 21*y. What is the lowest common multiple of 16 and y?\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/2 + -3)*-30. What is the greatest common factor of 150 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*5\/(-70) + (-325)\/595?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/13, -2, -2\/3, -1\/10 in decreasing order.\nAnswer: 3\/13, -1\/10, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(6*(sqrt(272) + sqrt(272)*-2 + 5 - ((sqrt(272)*-2 - sqrt(272)) + 3)) + -3))**2.\nAnswer: 13824*sqrt(17) + 627984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from blfblbll.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from {i: 1, j: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7*r - 157. Let n be w(-22). Let u(d) = -d**3 - 2*d**2 + 5*d + 2. What is u(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (4 + 4 - 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 18*p = m, -3*m = -2*p + 20. Which is the closest to p? (a) 38 (b) 5 (c) 0.1 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 17*o**2 + 2. Let j(k) = 97*k. Determine x(j(v)).\nAnswer: 159953*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = x - 0*x - 7, 4*x = -5*w + 39. Let f = -6 + x. Suppose -4*c + f*c = -2. Are -3 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -626 + 16352?\nAnswer: 15423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.10782 hours in seconds?\nAnswer: 68788.152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -240 by -60.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*x**3 - 21\/4*x**2 + 5*x + 0.\nAnswer: x*(x - 20)*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -398*a**4 + 6666 wrt a.\nAnswer: -1592*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4508 and 920.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -717*y + 5789. Determine v(8).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -3. Let g(w) = w**2 - 6*w - 16. Let o be g(b). Let i = o - -19. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7\/6)\/(z\/((z**(-14)*z)\/z)))\/(((z**(-2\/29)\/z)\/z*z)\/z**(-2\/3)) assuming z is positive.\nAnswer: z**(-2743\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -127. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1337*x - 10 = 1339*x, -5*y - 30 = x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -3*o**3\/2 - 2*o**2 - 3*o. Suppose -5*j - 21 = -1. Let b be v(j). Calculate the highest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.8 - 1. Let s = -2 + m. Which is the nearest to -2\/3? (a) -0.3 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + (-20031)\/3168*-6 + -5?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575 is divided by 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 98846.65um?\nAnswer: 98846650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4121)\/377 + 20\/(-290)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009057255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/14*2\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2671\/1070 - -2\/535. Which is smaller: a or -0.011?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2031 (base 4) to base 14\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*b**5 + 0*b**5 - 12*b**5 + (10*b**5 + 9*b**5 + 8*b**5)*(2 + 5 - 5).\nAnswer: 62*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/10)\/((-24)\/80). Let z = -1 - g. Let b be 1 + z + -5 - -2. Solve -4*t - 4*i = 16, -2*i = -3*t - 1 - b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -3 (b) 2 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*q**5 + 79*q**2 wrt q?\nAnswer: 2280*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1343\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -323426394 divided by 102\nAnswer: -3170847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 - 73*o - 6. Let b be x(-29). Let f = -36 + 75. Calculate the greatest common divisor of f and b.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56921034 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*o = 18*o - 7462 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 4. Let h(k) = -k + 5. Let c be h(2). Let x be y(c). Which is greater: 2\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*c**2 + 0*c + 0.\nAnswer: -4*c**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 - 89. Let u(w) = 4*w - 2. Let h(l) = -9*l + 4. Calculate g*u(t) + 3*h(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((4 + 2*sqrt(22)\/(2*sqrt(2)))**2 - (sqrt(396)*6 - sqrt(110)\/(4*sqrt(10)))**2).\nAnswer: -224571\/16 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 16. Let a be (-2)\/4*(n - 0). Let v be (-2 - a) + 8 - -1. Solve j - 3*j + v = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -28*d**2 - 6*d + 10. Let l(g) = -g**2 - 2*g - 2. Let j(u) = 4*l(u) - o(u). Is 51 a factor of j(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45 - 24465771?\nAnswer: -24465724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36689 by 19.\nAnswer: 1931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -j + 3*j - 67, 61 = 3*l - 4*j. Let o = l + -45. Let y be (1\/2)\/(3\/o). Let d(i) = -i**2 - 7*i - 3. Calculate d(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**2 + 22*f**2 - 4*f**2 - 12*f**2. Let a(t) = -3*t - 10. Let w(p) = 3*p + 12. Let y(n) = -6*a(n) - 5*w(n). What is y(v(q))?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1)\/b)\/b*b)**(-12)\/(((b\/(b*b**(2\/7)\/b*b))\/b)\/b)**(-3\/17))\/((b*b\/b**(-3)*b*b**(-3)\/b)\/(b**1)**8) assuming b is positive.\nAnswer: b**(3522\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14364*u**2 - 28765*u**2 + 14372*u**2.\nAnswer: -29*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*j + 120. Suppose 0 = 2*a - 6*a + j. Calculate the remainder when a is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 16341884?\nAnswer: -16342001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31921399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (204 - 146) + -125 + 12?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2 = 4. Suppose k*w - 18 = w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 27 = 3*c, 6 = -c - a + 2. Let y = c - -9. Suppose 0 = 7*f - y*f - 45. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 2*h - 8 = 0, 3*i + 2*h - 8 = -0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -4, 0, -10\/7, -0.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8*z**2 + 1. Suppose -d - 54 + 55 = 0. Determine w(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4510, 35706, 120288, 284950, 556386, 961290, 1526356, 2278278?\n\"Answer: 4449*d**3 - d**2 + 56*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6482074 is divided by 2160681.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 1. Let z = 0.365 - -0.035. Which is the fourth smallest value? (a) -6 (b) -4 (c) t (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 + 0. Let v = o + 0.23. Which is the nearest to 1\/4? (a) 0.5 (b) v (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4651.1? (a) -0.2 (b) -1.2 (c) 3 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -14*y + 4. Let r(d) = -5*d + 1. Let h(z) = -11*r(z) + 4*s(z). Is h(-9) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1067, 2038, 3009, 3980, 4951?\n\"Answer: 971*d + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -3, -12, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 55*l + 52*l - 20, l - 12 = 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28394 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 6*p**2 + 9*p + 4. Let y be z(7). Let h = 24 + 21. Let g = h - y. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from {o: 1, e: 8, r: 3, g: 3, j: 1, n: 3}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 64, 83, 122, 187, 284, 419, 598?\nAnswer: 827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -27014 divided by -2078\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -61, -129, -197, -265?\n\"Answer: -68*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 237579\/56815 - -1\/5165. Find the common denominator of o and (1\/3)\/((-4)\/(-136)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14418663 to the power of 1\/2, to the nearest integer?\nAnswer: 3797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1818499*h**3 - 7714243*h?\nAnswer: -10910994*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 22263.27.\nAnswer: 22258.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -16413.8866 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-100)\/10)*(-70)\/2352*-4\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -143056063065125*o**3 + 143055956086225*o**2 + 106978880*o + 20.\nAnswer: -5*(o - 1)*(5348945*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/10 + (-6)\/36 and -3\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 17\/3*g**3 - 18 + 0*g**2 + 10*g. What is the first derivative of c(a) wrt a?\nAnswer: 34*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpjg when four letters picked without replacement from {j: 10, g: 6, p: 4}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36390 and 1018920?\nAnswer: 1018920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**3 - 12*a**2 - 3. Let x(l) = 3*l**2 + 1. Let c(j) = -f(j) - 4*x(j). Give c(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000449205 to 6 decimal places.\nAnswer: -0.000449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-264 - -265) + (-11 - (1 + -1))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 - 400110562\nAnswer: -400110561.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.39 + -215102885.\nAnswer: -215102884.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 9) to base 6.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**3 - 10*t**2 + 20*t - 16. Let m be f(4). Calculate the greatest common factor of 20 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27852229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (38 + 11 - 23 - -79).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 46, 133, 254?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g + 2. Let n(c) = -2*c - 3. Determine -3*l(a) - 2*n(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2016\/(-72480))\/(6\/(-10)). Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7529 - 7525. Which is the nearest to 6? (a) v (b) -0.04 (c) 5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7950876 a multiple of 237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101111010110010000000 + -1000?\nAnswer: -111101111010110010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15*2\/15*-6*(-33)\/(-44)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/7)\/((160\/4)\/(-10))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -7\/9 (c) 35 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 3*x + 88. Find the third derivative of 2*w**2 + x*w**6 - 5*w**2 - 28*w**6 wrt w.\nAnswer: -720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 777 and 1316.\nAnswer: 146076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -220, -343, -476, -619?\nAnswer: -772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + ((-5)\/(-15) - (-12)\/(-9)). List the prime factors of (-2 - t)\/(-1) + 8 + 83.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1037, -1041, -1045, -1049, -1053?\nAnswer: -1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392 + 32 = -20*b for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142659.\nAnswer: 3, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**2 + 6528*k - 6525 = 0. Calculate k.\nAnswer: 1, 2175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13887 - -13887.4. What is the third smallest value in 1, -3\/5, -106, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26631618 divided by -5473?\nAnswer: 4866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -j - h, -88*h = -91*h - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 751 - 41. What is a rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + 0*c + 3*c)*(c**2 + 4*c - 4*c) + 2*c**3 - 368*c + 0*c**3 + 371*c to the form i*c + x*c**2 + l + y*c**3 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -41, -42, -31, -2, 51?\n\"Answer: k**3 - 8*k - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + s**2)*(-4*s + 0*s + 5*s)*(2 - 4 + 0) - 8132 + 300*s**3 + 8132.\nAnswer: 298*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 40. Suppose -k = r, -2*k - 22 = -2*w - k. Solve q + 5*b = w, 9*q - 4*q + 29 = 3*b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0064991 to 4 decimal places.\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 208, 676, 1146, 1618, 2092?\n\"Answer: s**2 + 465*s - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 40577.\nAnswer: 3\/40577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9740.153 micrometers?\nAnswer: 9.740153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 246136.59s in days?\nAnswer: 2.848803125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*a - 5, -21 = a - 2*c + 7*c. Suppose 0 = q + 5*j - 690 + 3, 0 = a*j + 16. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.5 (b) -5 (c) 3.633\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 n, and 1 s when three letters picked without replacement from {n: 1, i: 2, l: 1, h: 1, s: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 14*s**4 + 484*s**3 - 33438*s**2\/7 + 12584*s - 58136\/7 = 0?\nAnswer: -43, 1, 26\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2 + 15*j + 6. Let y be c(5). Suppose 8*h = 3*h + 25. Which is greater: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - a)*(7 + 3 - 2*a - 2) in the form d + y*a + v*a**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 6*h**2 + 11*h - 21. Let n be o(7). Suppose -3*d - v = -1164, n*d = 2*d + 5*v + 1960. What are the prime factors of d?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2542 or 2143?\nAnswer: 2542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a*w**2 + 2*a*w + 4*a - 8*w**2 + 20 wrt w.\nAnswer: -6*a*w + 2*a - 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23787 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 649368 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 141*o**2 + 692*o**2 + 4 + 771*o**2.\nAnswer: 1604*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141362 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-6))\/((-3)\/(-81)). Suppose -s*c = -84*c - 246. What is the remainder when c is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1704 times -19122?\nAnswer: 79746.3888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25099.486159 rounded to 0 decimal places?\nAnswer: 25099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in -35, 301\/10, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -7 + 1 - (-114)\/16?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 58000*d + 50691998. Calculate i(-874).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 + r + 1. Let j(x) = 4*x**2 + 2. Let l(k) = a(k) + j(k). Let f(t) = 2 - 6 + 2. Calculate 2*f(m) + 2*l(m).\nAnswer: 2*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mv when two letters picked without replacement from {q: 7, v: 7, m: 1, t: 1, i: 2}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 55*m + 351. What is the remainder when 27 is divided by k(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7 - -678300.\nAnswer: 678301.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(280)*-1 + sqrt(280)) - sqrt(280))\/(2*sqrt(175)))\/(sqrt(24)\/(sqrt(75)*2)*-3).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 80 = 163. Let n = 398 + r. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011110011 + -10001?\nAnswer: 1010011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -985? (a) -44 (b) -1\/6 (c) 2 (d) 3 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-227)\/((-9)\/5778*6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -26*z**2 + 3*z - 5. Let a(c) = 4*c**2 - c - 1. What is -4*a(i) - l(i)?\nAnswer: 10*i**2 + i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120210 - 2?\nAnswer: 120201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**2 - 5*n - 7. Suppose 5 + 39 = -4*f. Let j(z) = -9*z**2 - 9*z - 13. Give f*h(l) + 6*j(l).\nAnswer: l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, e: 5}. What is prob of sequence aeea?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-2))\/2*10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 6*i**2 + 26*i + 32. Let o be f(-13). Suppose -2*l - 2*l = 0. Suppose -6*y - y + o = l. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12446 and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -3*c - 9, -w - 2*c = -c + 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280 - (6 + -2 + 2 + -6).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/8 - 60413*o\/8 + 60411\/4.\nAnswer: (o - 60411)*(o - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/15)\/(((-6)\/9)\/(250\/15)). Solve v*z + 132 = 27*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/(-3) - -15) + 102993. What is f rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1041 = p - 523*l, 2708*p = 2709*p - 2*l - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 646 and 2584?\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 72954772, 0.2?\nAnswer: 72954772","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, x: 4, v: 2, k: 1}. Give prob of picking 3 u.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/29 in 0.339, 16, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 + 12500*i**3 + 2*i**2 - 10127*i**3.\nAnswer: 2373*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 30 = -5*i, -24 - 36 = -4*g - 5*i. Let h(f) = -f**3 + 110. Let s be h(0). Calculate the highest common divisor of g and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 3*t**2 - t**2)*(-20 + 20 - t)*(t + 3*t - 2*t).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*o = -2*o, 2*o = -4*j + 8. Let g = j + 4. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13340*u + 798*u = 1525*u - 295407 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 1746*g - 61110. Determine c(35).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i - 17. Let b be v(9). What is the third derivative of -13*q**2 - 12*q**6 + 8*q**2 + b*q**2 wrt q?\nAnswer: -1440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -13*g**7\/7 - 77*g**4\/12 + 39*g. Find the third derivative of y(d) wrt d.\nAnswer: -4680*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(5\/4)\/u*u*u\/(((u*u**(-8\/7))\/u)\/u))\/(u**(-11)*u**(-2\/23)) assuming u is positive.\nAnswer: u**(9969\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 8:09 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.346*-164\nAnswer: -56.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/3 - 16*k**2\/3 - 101047*k\/3 + 202150\/3.\nAnswer: (k - 325)*(k - 2)*(k + 311)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -10) + -12 + 3 + (-14 - 1)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160496530.\nAnswer: 2, 5, 23, 307, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -697*k - 14427 = -926*k for k.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*d - 67 = 214, 3*p = 5*d - 420. Let m = p + 147. Let w(o) = -o**2 - 5*o - 3. Let j be w(-3). Solve m = i - j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 8 = -2*h + 21, 3*h - 12 = 0. Is 206\/2*(n + -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 16 = -2*m. Solve 5*s + 28 - m = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12461959*y**3 - 1224702*y**2 - y - 2.\nAnswer: -74771754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*j - 28*j - 22*j)*(0*j**3 - 2*j**3 + j**3) to z*j + s + r*j**4 + n*j**3 + u*j**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3)\/s*s**(-4\/5)*((s*s**(2\/17)\/s)\/s)**(1\/40) assuming s is positive.\nAnswer: s**(-3279\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**3 + 8*g**2 + 1294*g - 6483. Calculate j(5).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/18 + (-5 - (-924)\/216).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -305412 (base 14) to base 8.\nAnswer: -6153530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1094407)\/((-32)\/(-32) + (-4)\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m - 3. Let p be x(3). Is -14 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 479 + -317. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124630 a multiple of 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 917.4349 millilitres?\nAnswer: 0.9174349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-8) - (-12570)\/720) + 5\/120.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/b**(-12)*b**(-2\/3) assuming b is positive.\nAnswer: b**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 21. Let a be f - 1 - (-4 + -18). What is the units digit of (-12)\/(-6)*(a - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {f: 1, y: 2, l: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20 from 0.2107849.\nAnswer: -19.7892151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451493 is divided by 1360?\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 788210 and 1248440.\nAnswer: 5290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.22611 weeks in nanoseconds?\nAnswer: 37029551328000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -251.768, -2\/5, -2 in increasing order.\nAnswer: -251.768, -2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/35*-2*(5 + 0). Solve -5*d + 9 = -0*o + 3*o, -m*d + 10 = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*j - 0*j - 5*x, 4*j = 4*x - 4. Which is the second smallest value? (a) j (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2948 + 3007 - 37*g**3 + 4*g**2 - 5951 + 4*g. Let u(j) = j**3 + j**2 + j + 1. Calculate -c(s) + 4*u(s).\nAnswer: 41*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 102\/2033869 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**4\/4 + 3*l**3 + 9*l**2\/2 + 13*l + 3. Let u be k(10). Suppose 0 = -h + u + 1. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -37, -0.1, -2, 1\/11?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 3 = 10*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(405\/18)*(30\/96)\/1?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-8)\/12)\/(3\/1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63.8 - -5.8. Let u = w - -53. Let j = 0 - -0.2. Which is the third smallest value? (a) j (b) u (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -388*a**2 + 207*a + 2. Determine c(-3).\nAnswer: -4111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 224\/(-2700) + 180\/1500\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l*o - 2*l*y**2 + 45*o**2*y**2 - 19856*o**2 - 14*y**2 - 35*y + 7 wrt o?\nAnswer: 2*l + 90*o*y**2 - 39712*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 268*a**2 - 18 - 9 + 35 - 266*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.3. Let f(z) = z**3 + 8*z**2 - 21*z - 13. Let x be f(-10). Which is the closest to 2? (a) -5 (b) u (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 + 29*u**2 + 147*u + 272. Calculate x(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3695 + -92431\/25. Calculate the common denominator of b and -42.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 7\/60*z**5 + 1\/120*z**6 + 2\/3*z**3 + 0 + 2*z**2 + 0*z + 1\/3*z**4. Suppose 48 = -4*n - 4*n. Determine a(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 8*o + 11. Let p(t) = -17*t - 21. Let c be 1\/8 + 5355\/(-408). Calculate c*z(w) - 6*p(w).\nAnswer: -2*w - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2)*(-1128*s - 1155*s + 2352*s - 1).\nAnswer: 207*s - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37778808983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 33*t - 48. Let s(p) = p**2 + 31*p - 47. Let j(r) = 4*s(r) - 3*x(r). Does 72 divide j(-44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000281683892 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 579\/4 + -146. Which is the closest to -1\/3? (a) 0 (b) y (c) -87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64816283 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - r**2 - 5*r. Let i be (-102)\/9*(-6)\/4. Let w = 20 - i. Let s be h(w). Calculate the greatest common factor of 21 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31819 divided by 322?\nAnswer: 31819\/322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 2*f = 6*h + 68, h - 78 = 3*f. Let y(b) = -24*b + 6. Let q be y(-2). What is the highest common divisor of h and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1302898 or 1302902?\nAnswer: 1302902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a factor of 30028720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 61 and -1356.\nAnswer: -82716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*d + 9238240 - 9238240 + 19*d + 90*d**2.\nAnswer: 90*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 383970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 10815.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 524747.701 rounded to the nearest ten thousand?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34623571?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l + 26. Let j be p(-6). Sort 0.4, -1\/2, -0.4, j in decreasing order.\nAnswer: j, 0.4, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284986.\nAnswer: 2, 13, 97, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105 - -107. Suppose -4*n + 4*i + 7506 = a*i, -5*n - 3*i + 9410 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.68 + 0.32. What is the closest to -0.1 in w, -5, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/10 - 4\/10. Let x be 2 + 24\/(-2 - u). Let b = 17 - x. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + m + 1. Suppose 2*x - 15*x = -65. Suppose -15*q + 10*q = -x. Suppose -2 = s - q. Let i(p) = -7*p**2 + 6*p + 8. Calculate s*i(g) + 6*f(g).\nAnswer: g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**3*r**4 + 2*k**3*r**2 + 8*k**3 + r**5 - 2*r**4 - 13*r wrt r?\nAnswer: 24*k**3*r + 60*r**2 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-1\/15)))\/q**(1\/3))**(-41) assuming q is positive.\nAnswer: q**(82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -11 + 11 - 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 146 + 385)*(1 + 4 - 3 + 6*z).\nAnswer: 3144*z + 1048","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.51722 - 0.0763507.\nAnswer: 2.4408693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + y. Let n(z) = 4*z**2 - 5*z + 70. Let m(o) = n(o) + 5*r(o). Let p be m(0). What is the greatest common factor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + g - 178 = 0, -1345*g + 104 = 3*l - 672*g - 671*g for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + v = 6*z + 6, 2*z = 5*v - 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d - 25. Let o(f) = f**2 + f - 13. Let y be o(0). List the prime factors of g(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 7*k = 5*k - 18, 3*w - 2*k = -2. Let d be 70\/20 + (-6)\/w. Sort 16, -1, 0, d.\nAnswer: -1, 0, d, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 24 - ((-5 - (1 + (-8 - -5))) + 45).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18235595849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 274728477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*l - 7*l - 12*l to the form u + f*l and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 206 + -566. Calculate the common denominator of (-18)\/m*(-355)\/2 and (-4)\/(-18)*35\/4.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 - 12.94. Let z = -12 - x. Which is the second smallest value? (a) z (b) -0.3 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -192*a**2 - 2*a. Suppose 2*x + 6*x = 56. Suppose c - k = k + x, 0 = c + 4*k - 1. Let l be b(c). What is l rounded to the nearest 100?\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 3. Suppose -15 = -2*z - 5*g, 3*g + 0 - 18 = -3*z. Suppose -z = -k + 2*m + 7, -8 = -3*k - m. Give d(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(98))\/sqrt(7))\/((sqrt(140)\/sqrt(4))\/sqrt(5)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -11c?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeettt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/10 and (6\/24)\/((-2)\/188).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14036 - 42067\/3. Calculate the common denominator of 34\/1543 and o.\nAnswer: 4629","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-48))\/(39\/(-520)*125).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12355.4 rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -20*m + 413. Give o(21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/3*(-1)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 141, 216?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*f**6 + 1103*f**5 - 2*f**4 + 714695*f**2 wrt f.\nAnswer: 960*f**3 + 66180*f**2 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.4902 + -6.490158. Let l = -9 + g. Round l to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 5. Calculate the greatest common divisor of t and 288.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64.6 + -256.4. Let l = -320.9871 - t. What is l rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 + 34298?\nAnswer: 34299.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**4\/6 + n**3 + 17*n**2\/6 - 13*n + 28\/3 = 0.\nAnswer: -4, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*w = -182*w + 54 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 177. Let b(n) = 4*n + 91. Give h(b(s)).\nAnswer: -4*s + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102\/8*96\/18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 2:25 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*d = -720. Let o(t) = -t**3 + 8*t**2 + 11*t - 86. Let a be o(7). Calculate the highest common factor of a and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 949 or 103404\/109?\nAnswer: 949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 0, -37, 4 in decreasing order.\nAnswer: 4, 1, 0, -1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2421630 rounded to the nearest ten thousand?\nAnswer: 2420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39919 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + (-2338)\/8)*4. Let a be 1\/(0 + (-3)\/o). Suppose -4*b + 3*i - 4*i - a = 0, -5*b - 5*i - 495 = 0. Round b to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -918953 divided by -131279?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*k + 114*k - 38*k - 7*k - 40*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**3 + 1 - 1)*(-931*p - 49 + 1916*p - 910*p) to the form w*p + t*p**4 + u + s*p**3 + z*p**2 and give s.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 8*a - 5*a + 1.\nAnswer: -17*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p**3 + 10*p**2 - 2*p. Let g(r) = r**3 + r**2. Let h = -1386 + 1385. Give h*c(a) + 10*g(a).\nAnswer: 2*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 11*m - 9*m**2 - 2 + 14 + 0*m**2. Let o be r(10). Factor -n**2 - 2*n**3 + 4*n**3 - n**o.\nAnswer: 2*n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -22. Suppose 0 = -5*y + c + 11. Suppose y*i = 44 + 40. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101648?\nAnswer: 2, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1157 - -1239. What is the remainder when 407 is divided by k?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 57118, 57112, 57096, 57064, 57010, 56928, 56812?\n\"Answer: -v**3 + v**2 - 2*v + 57120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2269 - -2274. Solve t - 10 = -p*z - t, -z = 5*t - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4, -3, -10?\n\"Answer: -7*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h**2 - 14*h + 1. Let w(l) = -5*l**2 + 13*l - 2. Let r(v) = 4*i(v) + 5*w(v). Let z be r(8). Suppose 0 = -z*m, 6 = -0*x + 2*x + 5*m. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 10:57 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 328 and 87?\nAnswer: 28536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30464 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5818 - 5666. What is the highest common divisor of k and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.97 - -10.97. What is the biggest value in v, 16, 1\/12?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -954 - -1896. Is 73 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 25*q**2 + 20*q. Determine b(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from {g: 2, r: 1, l: 1, v: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 2*v**2 - 2*v + 1. Let j be q(1). Let n(f) = -3*f + j*f + 4*f. Let o(z) be the third derivative of z**5\/30 - 2*z**2. What is n(o(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117202?\nAnswer: 2, 58601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 6 + 9 + (-2 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*f + 11*f - 30 + 5*f - 2*f to the form o*f + w and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008 divided by 6?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 196 + 16. Let y = z + -49. Solve -3 = a - 5, y*t = a - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 z, and 1 w when four letters picked without replacement from {h: 8, t: 1, z: 2, c: 2, w: 5}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2561931, 2561967, 2562027, 2562111, 2562219?\nAnswer: 2562351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -22*g**4\/3 - 8792482*g**3\/5 - 5083588*g**2\/3 + 17904616*g\/5 - 1918352\/15 = 0.\nAnswer: -239794, -2, 2\/55, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 417 - 145. Find the common denominator of (2 - z\/25)*(-85)\/(-68) and -99\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a9b (base 14) in base 2?\nAnswer: 100000110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 8*l - 8 = -4*w, 3*l = 0. Let u(d) be the first derivative of 2 - d**3 + 0*d - 3\/4*d**4 + 0*d**w. Factor u(r).\nAnswer: -3*r**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1539, -3067, -4585, -6093?\nAnswer: -7591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 2*p - p + 3 + 0*p + 7*p.\nAnswer: 8*p - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2. Let m(f) = -31*f - 25*f + 69*f. Determine m(j(a)).\nAnswer: -26*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 646*c - 4 + 2 - 585*c + (1 - c - 1)*(-6 + 1 + 3).\nAnswer: 63*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(8505\/490)*(-12)\/70?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -235 - -224. What is the nearest to -1 in -0.4, l, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 254*0.03.\nAnswer: 7.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-330) + 378\/693?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 1 - 2*x + 3*x - 2*x**5 - 4*x**5 + 3*x**5 + 0*x**5 + (-3*x**4 + x**4 + 4*x**4)*(-x + 3*x - x).\nAnswer: -x**5 + x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*28\/(-64) - (581 + -580).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 107\/960*w**6 + 0*w - 5\/24*w**3 - 1\/140*w**7 - 38*w**2 + 1\/192*w**4 + 13\/48*w**5 - 1. Suppose a(n) = 0. What is n?\nAnswer: -1, -1\/3, 1\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -1\/6, 19, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3810, 7621, 11432, 15243?\n\"Answer: 3811*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 363, 816, 1275, 1740?\nAnswer: 2211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7939*x + 3956*x + 3987*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -25.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 965574 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5\/6, -122, -0.5 in increasing order.\nAnswer: -122, -1, -5\/6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 15, 1\/9, 1\/11, 12, -0.25 in ascending order.\nAnswer: -0.7, -0.25, 1\/11, 1\/9, 12, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1276?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.20805 rounded to two decimal places?\nAnswer: 6.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 9*f**2 + 3*f - 1. Let v be n(9). Suppose v*w - 104 = -0. Put w, 1, 0 in decreasing order.\nAnswer: w, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r**3 + 1 - 1 - 12*r**3 - 20*r**2.\nAnswer: -2*r**3 - 20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 4*x - 6. Let t = 17138 + -17132. What is the remainder when p(7) is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1257221*x - 1257142*x - 632 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -13*x - 8. Let n(p) = 6*p + 5. Determine 7*n(j) + 4*w(j).\nAnswer: -10*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 3*j - 13. Let a be -4 + -5 + 3 + -5. Let c(u) = -2*u**2 - 5*u + 25. Let l be ((-6)\/(-12))\/((-1)\/12). Let x(y) = a*n(y) + l*c(y). What is x(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 13*s**4\/2 + 27*s**3 - 369*s**2\/2 + 127*s + 24 = 0.\nAnswer: -8, -2\/13, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5256.618s to nanoseconds.\nAnswer: 5256618000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 6) + 8 + 0 + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -571754733, -571754735, -571754737, -571754739?\nAnswer: -571754741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 26511.3 and 17648?\nAnswer: 8863.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305*x - 7 = 298*x. Are x and 12 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2552990.\nAnswer: 2, 5, 11, 23209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 3:35 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 5, 1\/64, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -8*n - 18768. Let r(q) = -3*q + 11. Determine r(m(x)).\nAnswer: 24*x + 56315","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 h when four letters picked without replacement from {y: 5, s: 1, h: 3, f: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7950614, -15901224, -23851834, -31802444, -39753054, -47703664?\n\"Answer: -7950610*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1776 - -35511\/20. What is the common denominator of -51\/10 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67 and 429388997?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 7. Let b be z(-8). Let f(a) = -a**2 - 5*a + 3. Let p be f(3). Let s be (-82)\/42 - 6\/p. Is b bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2023 divided by 5.\nAnswer: 2023\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -25*a**2 - 45*a + 324. Determine w(6).\nAnswer: -846","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*(-35)\/((-2100)\/690)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 2*w**2 - 3*w + 2. Let u be 4 + (2 - (-6)\/(-3)). Suppose -5*j + 23 = -2*m, u*j - j + 5*m = 20. What is the tens digit of s(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514630211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2087, -2065, -2109, -2231, -2443, -2757?\nAnswer: -3185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 5, -1, -39, 0, -81 in decreasing order.\nAnswer: 5, 0, -1, -2, -3, -39, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4166, 3624, 2150, -724, -5466, -12544?\nAnswer: -22426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2. Let g(w) = -8*w**2 + 6*w. Suppose -4*u - 6 = -22. Let f = -10 + u. Let s(i) = -i**2 + i. Calculate d*g(p) + f*s(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.3? (a) -1.03 (b) 29 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + (14 - (4 - -8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*y - 4258940 + 4259015 + y in the form x + o*y and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 4*x**2 - x - 3. Let d be w(3). Let a = -1 + d. What is the derivative of v + v + v**2 - 4 - a*v wrt v?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332 = 99*r - 1301 + 247 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 5*n - 165. Suppose m - 45 = 4*m. Let a = -6 - m. What is the remainder when n is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000 + 10100101?\nAnswer: 11111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 15897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 - d**2 + d**2)*(5*d - d - 5*d) - 5*d**3 + 3*d**3 + 4*d**3 + (0 - 2*d + 0)*(0*d - d**2 + 0*d).\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4 - 276*a**3 + 2128*a**2.\nAnswer: -4*a**2*(a - 7)*(a + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**4\/(a*a**(-2\/23))*a**4\/(a\/a**(-1\/2))*a**5*a*a\/a**(-2\/11)*(a**(1\/3)*a)**(-3) assuming a is positive.\nAnswer: a**(4437\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (34\/(-9))\/((-133)\/((-32319)\/(-54)))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 366312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {a: 7, x: 2, j: 4, r: 5}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqq when three letters picked without replacement from {j: 4, u: 6, q: 3}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2 = 2*t, 5*v + 5*t - 4 = 1. Let b be (3 + -5 - -5)*(1 + v). What is the units digit of 15\/b + 0\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-27)*u)\/u)**(-1\/32) assuming u is positive.\nAnswer: u**(25\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - (-1 - 2))*-1. Let w be (2 + -1)\/(x + 1). Let l be 3\/(3 - 0) - w. Solve -5*a + 8*a = l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-492)\/369*((-27)\/(-2))\/3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 345030127 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 376501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26774 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 11. Is 631\/(-3 - 4\/p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 969*r**4 + 536*r**4 - 55*r**4 + 0*r**3 - r**4 + 0*r**3 + (4*r - r - r)*(-r**2 + r**2 - 2*r**3) + 3*r**4 - r**4 - 4*r**4.\nAnswer: 1443*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.045, 6\/11, 0.073?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -108726, 0, 4 in descending order.\nAnswer: 4, 0, -108726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (44*s - 232 + 232)*(s - s**3 - s) - s**4 + 0*s**4 + 0*s**4 to y + r*s**3 + u*s**2 + j*s**4 + g*s and give j.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 - 81 - (1 - 20).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**5\/7 - 12*t**4\/7 - 15*t**3\/7 - 6*t**2\/7.\nAnswer: -3*t**2*(t + 1)**2*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 154*a*v**3 - 3*a*v**2 + 3358055*a + 106*v**3 wrt v.\nAnswer: 462*a*v**2 - 6*a*v + 318*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 123656098*j**3*r**2 - 64*j**2*r**2 + 34*j**2 + 251*r**2 + r + 2 wrt j?\nAnswer: 741936588*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3269038.93 + -72.293.\nAnswer: 3268966.637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1015888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 0.3, 0.14 in decreasing order.\nAnswer: 0.3, 0.14, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in seconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -100275 - -296917\/3. Let g = k + 1315. Find the common denominator of 3*-5*33\/(-63) and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 1)*((-310)\/(-2) - 4). Let s = p - 399. Calculate the smallest common multiple of 180 and s.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -11 (c) -20 (d) 135\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/19*(-1)\/2*3)\/((-26335)\/(-1145)).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 0*o**3 + 0*o**2 + 0 + 0*o**5 - 2\/21*o**4 + 1\/105*o**6 + 47*o. Factor q(s).\nAnswer: 2*s**2*(s - 2)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -5\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -150 + 155 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 + 0.5. Let b = 1.4 - n. Let c = 0.5 - b. Round c to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 91926*h**4 - 11264?\nAnswer: 367704*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -7908?\nAnswer: 7907.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -286 - -286. Solve 0 = -c + i + 1, -3*c + 7 = i - u*i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*y - 5 = 86*y - 5*l, -5*l + 145 = -15*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87674177 - 87674177 - 9873*k**3.\nAnswer: -9873*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/5)\/((2260953\/(-1030))\/271)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900) - (sqrt(900)*1 + sqrt(900)))\/(sqrt(72)\/(sqrt(24)\/sqrt(4))).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z + 4. What is the hundreds digit of 3792\/26 + z\/(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 452\/(-410) + (-870)\/(-725).\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 494 + 2429 = -n, -2206 = 3*j - 2*n. Let m = j - -1289. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*d - 8*d + 7*d)*(4 + d**3 - 2*d**2 - 4) + (-d**2 + d**4 + d**2)*(-1 - 2 + 1).\nAnswer: -61*d**4 + 118*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4257300 rounded to the nearest 100000?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 388*c + 63. Suppose 12*v - 13*v + 10 = 0. Is z(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -1963*l + 1959*l. What is the closest to 1\/5 in 0.5, 5, -0.3, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 503866, 0.8, 3, 2, -0.5?\nAnswer: 503866","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 2*b + 3*b + 596*b**2 - 4*b.\nAnswer: 596*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**3*x**2 - 112898*j**3*x + 315*j**3 - j**2 + j - 2 with respect to x.\nAnswer: 4*j**3*x - 112898*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 m when three letters picked without replacement from snrssnlmnr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-8 - (6 + -13)) + 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2145 + 16902. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1640, 2879, 4118, 5357, 6596, 7835?\nAnswer: 9074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f**3 - 14*f**3 - 459*f**2 + 459*f**2.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 + 0 + 2 - -3 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 7*i**2 - 11*i - 120. Let a be z(-6). Let w(u) = -3*u - 52. Determine w(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3091947.\nAnswer: 3, 163, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-40))\/((-48)\/(-6240)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42\/(-49)*(28\/(-20) + 0). Factor -16\/5*t**2 + j - 2*t.\nAnswer: -2*(t + 1)*(8*t - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32010.78805 and -20.9.\nAnswer: -32031.68805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + (sqrt(1872) - -1*sqrt(1872)) + -4*sqrt(1872)*1 + (-1 + sqrt(1872) + sqrt(1872))*5 + -5 + -3 + -1))**2.\nAnswer: -43008*sqrt(13) + 1920064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, j: 2, x: 4, g: 1, z: 2, n: 9}. Give prob of sequence wxwj.\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 6*m**2 + 15*m - 6. Calculate j(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + x = -5*l + 7, -l + 19 = 5*x. Let s be (l\/(-6))\/(-1) - 44\/(-48). What is the second biggest value in -1, -2\/9, s?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 2 + 2)*(-3*o + 7*o - 2*o) + (0*o + 0*o - o)*(-23*o + 9*o + 11*o) + 2*o**2 - 3*o**2 - 5*o**2 + (-2*o - 3*o + 6*o)*(-2*o + 0*o + 0*o).\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 221246314 to the power of 1\/3, to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**4 - 16025*l**3 + 729430*l**2 - 9039580*l + 15289560 = 0. What is l?\nAnswer: 2, 22, 3159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45267.61 centuries to millennia.\nAnswer: 4526.761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3\/(-14)*(-18)\/(-27).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 1) + (-46)\/(-2). Let s = 25 - u. Suppose 107 = -0*c + c + 4*p, -s*c - 3*p = -603. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 - -2) + ((-1 - -12) + -11 - 15)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + 14*r - r + (0 + 4 - 2)*(-r - 1 + 1) - r + 3 - 3 + 2*r - 3*r - r)*(-30*r - 9 + 9).\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1375636 divided by -343909.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358799 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9036091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -811, -5684, -18619, -43612, -84659, -145756?\nAnswer: -230899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 - 1. Let g = t - -0.9. Let s = 1.3 - -2.7. Which is the second smallest value? (a) -1\/4 (b) g (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 422886 - 59204777\/140. Let r = x - -33\/7. What is the common denominator of r and -99\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-18))\/((-2)\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**14*m)\/m*m*m**14)**(-3\/23) assuming m is positive.\nAnswer: m**(-6\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -11*o + 61. Let z = -4415 - -4421. What is v(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3235*((-14)\/(-2) - (-3 + 11)). Solve -3*w = -3244 + u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14930?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3692845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-7) - 450\/126. Suppose -4*g + 6 = -g. Let p be (x\/g)\/(23\/(-46)). Solve 5*o - 6 = p*i - 4*i, -4*o = 2*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**2 - 111*l - 33. Calculate the remainder when 322 is divided by i(-36).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 10*a**2 + 10. Calculate s(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21230960 and 42880?\nAnswer: 5360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6*w - 18. Let h be f(4). Sort -3\/4, -1\/3, h.\nAnswer: -3\/4, -1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -181, -5, 134, -3, 5, -2.\nAnswer: -181, -5, -3, -2, 5, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 28*a + 24*a + 17 = 0, 2*b - 5*a + 19 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -192 + 197. Let q be 72\/(-48)*(-2)\/(-9). What is the nearest to -2 in t, 0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d = 34*d. Solve d*t = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 9*y**3 - 3*y + 2. Let v be d(1). Suppose 0 = -4*x + v*x - 12. Suppose -4*s - x = 1. Is -24 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 227.\nAnswer: -4\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*a - 35*a - 21*a**3 - 27*a - 33*a.\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -38b866 (base 13) to base 10\nAnswer: -1367970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 5*d + 19. Suppose m + x - d = 0, m - 59 = -2*m - 5*x. What is the highest common divisor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 95 - 45)*(-h + h + h**4) as j*h + m*h**3 + i*h**4 + n*h**2 + s and give i.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 303?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/1 - 33\/((-495)\/70)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -0.5, 5\/398, 4, -1?\nAnswer: 5\/398","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in -7\/317, 2, 5?\nAnswer: -7\/317","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63 + 86 + 18 - 4*w + 6*w to the form o + n*w and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -10*k + 13*k. What is the remainder when k is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.5 + 154.5. Let m = 165.4 - p. Sort m, -1, -98, 1\/4 in decreasing order.\nAnswer: m, 1\/4, -1, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + q = 3*v + 4, -4*v = 2*q - 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a second in milliseconds?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 508\/35, 15, 0.3 in ascending order.\nAnswer: 0.3, 508\/35, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 a when three letters picked without replacement from {e: 1, a: 2, f: 8, s: 2}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4\/3 + 22*y**3\/3 - 910*y**2 - 52750*y\/3 - 50000\/3 = 0. Calculate y.\nAnswer: -25, -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**3 + 3*b**2 + 3*b + 3. Let h(p) = -p - 8*p**2 + 9*p**3 + 2*p**3 - 8 - 7*p. Let y = 2158 - 2166. Calculate y*z(k) - 3*h(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 6:36 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-13) - 640\/65. Let m = 18 + a. What is the least common multiple of m and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 197298*l**2 + 12*l - 789192.\nAnswer: -3*(l - 65766)*(l - 2)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/2640*0 - (7 + 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fft when three letters picked without replacement from {t: 5, j: 4, f: 3, w: 1, p: 1, r: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21750396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28, 92, 192, 322, 476?\n\"Answer: -y**3 + 24*y**2 - y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5330 + 2904. Let a = n - -6415. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -168 greater than or equal to -167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57742 is divided by 28869?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from {n: 2, v: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 4*w + 54. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(132)\/sqrt(3))\/(sqrt(576) + sqrt(4)) - (-4*(-1 + sqrt(11)) - 3*sqrt(11)*-4))**2*2.\nAnswer: 1744*sqrt(11)\/13 + 266790\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-7 - (-33 + 16))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191246.\nAnswer: 2, 11, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 0*y**4 - 23\/20*y**5 + 23*y - 6*y**2 + 0 + 0*y**3. Find the first derivative of x(v) wrt v.\nAnswer: -69*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246164*f + 246152*f - 492313*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 - -1.5. What is the second biggest value in d, 0.3, -3\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v - 4*g = 42, -5*v + 4*g + 62 = 0. Let q(h) be the second derivative of h**3\/6 - 4*h**2 - 7*h. Let y be q(v). Solve 5*z + y = 22 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 947*z = 628*z - 8932 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -3*b + 6. Let t(y) = -y + 11. Let i be t(7). Let z(c) = 3*c - i*c - b*c. Let k(r) = r**2. What is z(k(l))?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 5. Let y(c) = -1 + 1 + k - 2*c. What is the units digit of y(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*p + 5*p - 10*p)*(2*p**4 - 2*p**4 - 2*p**4) + 7*p**5 - 4*p**5 + p**5.\nAnswer: -86*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*h**2 - 56*h**2 - 65*h**2 - 65*h**2 - 56*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12 + 15)\/((-6)\/(-142)). Let l = v - -5. Does 29 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 9:44 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4966 or -4967?\nAnswer: -4967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 1 + 6 + r + (3 - 6 - 1)*(-5 + 5 - r) to the form t*r + d and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1301917 is divided by 317.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -7 (c) -2\/79 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*r - 40. Let n be (-8)\/(-32) - (-9)\/r. What is the second biggest value in -0.1, n, 0.1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1063 (base 15) in base 12?\nAnswer: -2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3179831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 32. Suppose z = -2*o + 10. Suppose o*d - 124 = 2*f + 18, -5*f = -4*d + 139. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*1)\/(20\/2*((-3069)\/(-770))\/279).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2. Let l(v) = -v - 28. Let z be l(-22). Let w(r) = 2 + 1 - r - 2. Let d(s) = z*w(s) - c(s). Give d(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o - 27. What is the remainder when 43 is divided by r(-10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**3 + 2*b**2 - 15*b + 14. Let p be y(1). Solve 14 = -w - 5*i, -2*i + p*i = -4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**3 + 37*d**2 - 45*d + 9. Let x be g(11). Let h be (-1738)\/4*116\/(-2). Let t be (h - 1)\/x*-150. Round t to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28263176*o**3 - 14131728*o**3 - 14131639*o**3.\nAnswer: -191*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 3720922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74392408 by 1.\nAnswer: -74392408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppfpppffppp. Give prob of picking 2 p and 2 f.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.1 - 11. Let j = n + -0.4. What is the closest to -1 in -1\/4, 3\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 2*g - 3*g + (3*g + g - 6*g + (-g + 0 + 0)*(-6 + 2 + 1))*(-3 + 6 + 0).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 13 = 4*m, 3*v - 17*m - 9 = 24*m - 38*m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/13 - 46\/299. Suppose 3*y = 4*g + 100, 0*y + 4*y - g - 142 = s. Is 4 a factor of y\/((-2)\/(-12)*9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a*k**5 + 8995446*a*k**4 - 48166852*a*k**2 wrt k?\nAnswer: 60*a*k**2 + 215890704*a*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*22\/(-165))\/(32\/(-18))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.06921651853 and -683.\nAnswer: -681.93078348147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -159100000 to the nearest one million.\nAnswer: -159000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 234, 883, 2000, 3615, 5758, 8459, 11748?\n\"Answer: 5*h**3 + 204*h**2 + 2*h + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4295, -3\/172, -3, -2, -4.\nAnswer: -4295, -4, -3, -2, -3\/172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5999 is divided by 608?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*a**3 + 117*a**3 - 257*a**3.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d - 3*d - 4*d - d + 1 - 1 - d + 5*d - 2*d + (-2 + 2 + 1)*(-2 + 2 + d) + 13*d - 242 + 242 + (2*d - 4*d + d)*(-1 - 5 + 4) + (2 - 2*d - 2)*(-4 + 0 + 2).\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**4 - 4*a**4 + a**5 - a**2 + (2*a**2 + 3 - 3)*(a**3 - 2*a + 2*a) + 6*a**5 - 2*a**5 - 2*a**5.\nAnswer: 5*a**5 - a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/31 (b) 4.6 (c) -0.1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 1\/10*k**5 + k + 0*k**2 + 1\/6*k**7 + 0 + 0*k**3 + 0*k**4 - 3\/10*k**6. Suppose b(z) = 0. What is z?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 23*w + 187. Find the third derivative of z**4 + w*z**2 - 4*z**2 - 6*z**2 + 31*z**3 - 4 + 14*z**3 wrt z.\nAnswer: 24*z + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 433328800, 433328797, 433328794, 433328791, 433328788, 433328785?\nAnswer: 433328782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**2\/2 + 623*b\/2 - 5112 = 0.\nAnswer: -639, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2061\/8, -5, 8\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 - -0.9. Let c = p - -1. What is the second smallest value in 0.3, -3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*x**3 + 2*x**3 + 2*x**3)*(1703 - 65 - 408) to n + c*x + r*x**3 + z*x**2 and give r.\nAnswer: -2460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-14)*z**(-13)\/z*z*z\/z**(4\/7)*z\/(z\/(z*z**(8\/11))*z)*z)**36 assuming z is positive.\nAnswer: z**(-68868\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 - 106*l**2 + 25. Calculate h(-53).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 270*p**4 - 262.\nAnswer: 1080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (225\/21)\/(-5) + 137\/959\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3455 - 3451. Solve -7*t + 9*t = a + r, -3*t = 3*a - 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76250 is divided by 38112?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/24 and -43\/138081?\nAnswer: 1104648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 + 3*a + 339. Is o(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 7, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 9\/47, 691, 9?\nAnswer: 9\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 188098 take away 55?\nAnswer: 188043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*j - 49*j - j**3 + 93*j.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 + 92. Let b be (d + 25\/(-5))*2. Solve 0 = -3*w + b*w + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -5. Suppose 0 = -5*d - 25, -8*x + 3*x - 3*d + 245 = 0. Suppose 16 = 3*l - 2*s - 0*s, 5*s - x = -q*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 13962291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1590?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 45 = 3*b, -87*b = 4*u - 92*b - 36. Solve u*j - 10 = 5*n + 8*j, -2*j - 16 = 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-35)\/15)\/((-17)\/66351) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by -307?\nAnswer: 40\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-20))\/((-198)\/(-12595)). Let h = -64\/9 + x. What is the closest to 1\/2 in 3, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**3 + 16*n**2 - 3*n**2 + 29*n + 2*n**2 - 28*n - 7*n**2 to d*n + f*n**2 + p*n**3 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 at least as big as 3.39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (7 + (15 - 42))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 24*r. Let b(g) be the first derivative of -g**2\/2 - 4. Determine b(y(z)).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**4 + d**3 - d + 1 - 3 - 1 + 0*d**3 to a*d**4 + o*d + v*d**3 + k + r*d**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 31012660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - 76\/8)*-4. Let s = 4 + -3. Let t be ((10*-2)\/(-2))\/s. What is the greatest common factor of c and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g*r**2*z**2 - 350*g*r**2*z - 3*g*r*z**2 + 2*g*r*z + 31*r**2*z**2 wrt z.\nAnswer: 6*g*r**2 - 6*g*r + 62*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75685307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 611 divided by -217671.\nAnswer: -611\/217671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10476914 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -802, -787, -774, -763, -754?\nAnswer: -747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.268 - -32.268. Let x = 11.98 - -19.97. Let u = h - x. Which is the third smallest value? (a) 1\/5 (b) u (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -202 - -201. Let v(d) = 2*d + 2. Let t(o) = 1. Give u*v(j) + 5*t(j).\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61128853 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-5)*53\/159)\/((-1)\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 414590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 738326*j**5 - 465440*j wrt j?\nAnswer: 14766520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001178 to 6 decimal places.\nAnswer: -0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 9*w**2 + 2 + 57*w**2 + 3.\nAnswer: 48*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146051 to the power of 1\/2, to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.01495 + 49345646.\nAnswer: 49345643.98505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c0 + -106c?\nAnswer: -114c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0617 - -494.0617. Let g = 494.0001101 - r. Round g to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**2 - 17*c - 6*c + 0*c**3 - 2*c**3 - 2*c**2 as u*c + m*c**2 + h + x*c**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 4:44 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*l**2 - 66*l**2 + 4*l**2 - 10*l**2 + 12*l + 2*l.\nAnswer: -124*l**2 + 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l*l*l**(-1\/4)*l)*l))\/l)**35*l*l**(-7)*l\/((l**21*l)\/l))**(27\/5) assuming l is positive.\nAnswer: l**(27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1868892 divided by -155741.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8491*m - 1 - 8491*m + 56*m**2 to the form d + w*m + a*m**2 and give a.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 257201.1 kilograms to tonnes.\nAnswer: 257.2011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28217084?\nAnswer: 2, 7, 1007753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -37425 divided by 1497?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 291 - 303 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 - ((-24)\/(-3) - -6)) + 86 + -1. Solve 5*z - b = -8*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 482545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5527341954.\nAnswer: 2, 3, 17, 18063209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 7*q - 4. Let r be u(8). Suppose 2*g - 28 = 6*n - n, 0 = -g + r*n + 20. Solve 23 = y + 4*x, -g*y + 2*x = 4*x - 22 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -5*u + 130. What is the highest common factor of 26 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*x**3 + 181*x**3 - 603*x**3.\nAnswer: -564*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 59 + b487?\nAnswer: b524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, 5, 0.4, 1 in descending order.\nAnswer: 5, 1, 0.4, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*r + 22*r - 119 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2*n)*(179*n - 179*n - 6*n**2) as a*n**3 + x*n + h*n**2 + q and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 2:08 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20.5 - 20.3. Put -2, d, 1\/3, 5\/4 in descending order.\nAnswer: 5\/4, 1\/3, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrsd when four letters picked without replacement from rhhvhshhsrdrhs?\nAnswer: 3\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -11*j - 474. Calculate v(-42).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 22*o**2 - 2*o - 48. Let m be z(-22). Let n(p) = -522492*p + 32. Let y be n(m). What is y rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -503213933 and -503213933 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2392, 9548, 21422, 37978, 59180, 84992?\nAnswer: 115378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 14. Let k(i) = 2. Let r(f) = -7*k(f) - t(f). Let x(m) = -2*m**2 + 9*m - 9. Calculate 5*r(v) - x(v).\nAnswer: 2*v**2 - 4*v + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u**(-8)\/u*u*u)\/u)\/u**(-6)*u**(-2\/3)*u*u*(u\/u**(2\/7))\/u)\/((u*u**(-1)\/u*u\/u**(1\/2)*u)\/(u**(-2)*((u**(-3\/2)*u)\/u)\/u)) assuming u is positive.\nAnswer: u**(-83\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -235104?\nAnswer: 235111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 9) to base 11\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + -4 + sqrt(2448) + 4 - -6*(sqrt(2448) + -1*sqrt(2448)))**2 + 1*(2 + 3 + sqrt(2448) + sqrt(2448))*3.\nAnswer: 72*sqrt(17) + 9807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a factor of 349424306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*r - 17, 4*n = r - 6 - 21. Let s be (-3)\/(-1) + (-8 - n). Are 8\/3 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kyytzkyzktkktkzyttt.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/(-5))\/(3\/44). Suppose -4*a = -2*a - u. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8911.313km in micrometers?\nAnswer: 8911313000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 411314 (base 6) to base 16\nAnswer: 7fde","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 14069 = 3*j - 0*j, 0 = 3*i - 12. Let a = -5313 + j. What is a rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 1*(4 + -2). Let c be h\/(-7) + (-666)\/(-21). Suppose 5*b = b + c. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (3 + 0)) + (2 - 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 - -33. Let k be (-2)\/6*a\/20. Which is bigger: k or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1949, -0.6, 21\/305?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 7:24 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1))**(7\/2))**6\/((i*i\/i**(2\/7))**(1\/9))**(-27) assuming i is positive.\nAnswer: i**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**3 + 21*f**2 + 33*f - 293. Give b(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5291195, -10582325, -15873469, -21164633, -26455823?\nAnswer: -31747045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 660 and 1320?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*m + 378 = -33*m. Let a be 54\/m + (-4 - 0\/12). Sort 3, 5, a in ascending order.\nAnswer: a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -5 - (-4 - 144\/(-42) - (-79638)\/(-14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 0. Suppose -3*t + d*f + 25 = -2*t, -2*t + 2*f = -18. Solve 2 = 3*g + 3*b - 10, -5*g - 30 = -t*b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-154)\/(-1 + -6) + 7. Suppose 2*s + 4*q = 127 - r, s = -3*q + 52. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197718 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 2\/9 (c) -92\/9 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + q = 36. Let c be 15\/q*12\/10. Is c at least as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 j, 1 f, and 1 t when four letters picked without replacement from {y: 2, j: 1, g: 1, i: 1, t: 1, f: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -1. Let z be (-1)\/(-5) + 453\/(-15). Let r = -29 - z. Let a(y) = -4*y - 5. Let h(s) = r*a(s) + 4*f(s). Determine h(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, q: 8, x: 2, r: 2, c: 1}. What is prob of sequence qrcr?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 521*k + 539*k + 149 = 0, -2*f = 5*k + 5 + 33 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 13*j - 22*j - 3 + 5*j. Determine h(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkrsscnrm. Give prob of sequence cn.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443*k - 125*k + 9*k + 363*k + 42780 = 0 for k.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68071269477853\/9480 - 7180513672. Let a = 1071\/79 + f. Find the common denominator of a and -43\/2.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301 = 11*l - 326. Let h = 95 - l. What is the remainder when h is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -59 + -15?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z - 27*z = 200. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.250313 - -0.25. Round h to five decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-1260))\/(85\/(-255)). Let i(b) be the third derivative of -p*b**5 + 0*b**3 + 0*b + 0*b**4 + 0 - 6*b**2. Determine h so that i(h) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 7, -4, -1515 in descending order.\nAnswer: 7, -4, -40, -1515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(2\/11)\/c*c)\/c)**(-39))**(-1\/19) assuming c is positive.\nAnswer: c**(78\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*q = 82, 5*b + 0*q = -2*q - 78. Let v be 2\/b - (-3)\/21. Let k = 0 + v. Solve k*z = 4*z - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 2*d**2 + d. Let f = -2 + 6. Let b be 1*(f + (0 - 0)). Suppose b*z - g = -5, -z + g - 3*g + 1 = 0. Determine u(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 2*w + 5. Let x be t(4). Put x, 3, 1 in ascending order.\nAnswer: x, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5828820, -11657637, -17486446, -23315247, -29144040, -34972825, -40801602?\nAnswer: -46630371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -453885 (base 11) to base 6\nAnswer: -23252423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s - 3. Let y be x(-3). Suppose 6*h - 5*h + 5 = -q, 0 = 2*h + y*q + 14. Which is the biggest value? (a) -5 (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1433240 by -1.\nAnswer: -1433240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 7*s**4\/6 - 35*s**3\/6 + 15*s**2\/2 - 2*s + 24. Let u be p(5). Calculate the greatest common divisor of u and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9607 and 32.5?\nAnswer: 312227.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5 - 71571 + 4*j**4 + 200*j**3 + j**5 - 196*j + 71767 - 4*j**5 - 203*j**2 + 3*j**2 = 0 for j.\nAnswer: -7, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 11:32 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.693 + -10.693. Let g = 123 - 365\/3. Which is greater: u or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -8. Let x(a) = -164*a + 5922. Calculate the remainder when x(36) is divided by (1\/j)\/((-2)\/12).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 5*d + 9. What is q(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -4, 1\/5, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*y - 1503, -20*i + 25*i = 4*y - 2985. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 368 * -19.285\nAnswer: -7096.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 7 = -11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - (1 + 34) - (-6 + -7)) + (-2 - -38).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2155 + -2235 - (1 - -26)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 333?\nAnswer: -32e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 11*g**2 - 3*g - 13. Let d(f) = 10*f**2 - 3*f - 12. What is 7*d(j) - 6*x(j)?\nAnswer: 4*j**2 - 3*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 781562 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - k**2 + 0*k**2)*((-8 - 2*k + 8)*(1 + 0 - 4) + 2*k - 4*k + k + (-2 + 4 + 0)*(3*k + k - 5*k)) + 15 - 15 - 5*k**3 - 4*k**3 + k**3 + 4*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 165025203.\nAnswer: 165025201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 12 (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130 and 2.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107.485 + -108. Let n = -43.855 + q. Let l = -44 - n. What is l rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 8. Let t be -2*((-7)\/(-2) - 2). Let w be (2 + t)*2\/4. Which is the second smallest value? (a) z (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r**2 + 21*r**2 - 34*r**2 + 16*r**2.\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.061 + 0.12051745.\nAnswer: 0.18151745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554995361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 0)*(n - 4*n + 0*n + (n + 0 + 0)*(3 - 1 - 1) + (-n + 0*n + 0*n)*(2 - 1 - 2)) + 0*n + 3*n - 10*n to x*n + y and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 108009.1 millilitres?\nAnswer: 108.0091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 20\/109, 8.5, -4 in descending order.\nAnswer: 8.5, 3\/2, 20\/109, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 + 29. Let u = 22 - o. What is the remainder when u is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 2, 5 in decreasing order.\nAnswer: 6, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29359 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228 - 35.403.\nAnswer: -263.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -15*d + 3. Let o(q) = -3*q - 9*q + 2 + 5 - 19*q. Let w(z) = 7*g(z) - 3*o(z). Let t(u) = -8*u. What is -8*t(n) + 5*w(n)?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - b + 13 = 0. Let t = 1 + b. Suppose 4*r - 2*q + 7 - 109 = 0, -3*r + q + 77 = 0. Calculate the remainder when r is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 33 = -7*u. Let d = u - -15. Suppose -5*q + 43 = s - 2*s, s = -d*q + 38. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1070114\/7 (b) -0.2 (c) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2\/3 (b) -0.4 (c) -7.63 (d) -0.036 (e) 1\/2 (f) 3 (g) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.5 - 4. Let n(c) = c**3 + 8*c**2 - 3*c - 24. Let p be n(-8). Put p, -4\/7, h in decreasing order.\nAnswer: p, h, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -165197, -330444, -495743, -661094, -826497?\n\"Answer: -26*q**2 - 165169*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 674, 664, 644, 608, 550, 464, 344?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**7\/70 - n**4\/6 + 5*n**2\/2 + 6. Let p(d) be the second derivative of w(d). What is the second derivative of p(q) wrt q?\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8836e - 0?\nAnswer: 8836e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (sqrt(605) + 0 - sqrt(605) - sqrt(605))**2 - (-1*sqrt(5) + -2).\nAnswer: -603 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57766 = 7*s - 73757. What are the prime factors of s?\nAnswer: 3, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, 54 in descending order.\nAnswer: 54, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -64, -4.\nAnswer: -64, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/7 - 2\/7*s**3 + 4\/7*s**2 + 2*s.\nAnswer: -2*(s - 4)*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) - (sqrt(1872) + 6*(sqrt(1872) + sqrt(1872) + 1))) + (sqrt(1872) + 3 - sqrt(1872))*-1 + 4)**2.\nAnswer: 1440*sqrt(13) + 269593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {i: 9, h: 5}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((4 + 3*2*(sqrt(272) - ((sqrt(272) + 1 + sqrt(272) - sqrt(272)) + -1 - sqrt(272)) - sqrt(272)))*-6)**2.\nAnswer: -1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1161 and 4*(-2 + -2 + (-72)\/(-16)).\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -700832*-1.\nAnswer: 700832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 + 2*m**2 - 3*m - 4*m**3 - 5*m**3 + 2*m**4 + 8*m**3 as k*m**4 + i*m**2 + v + f*m**3 + u*m and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 14*x**2 - 14*x - 5. What is f(15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m**2 + 10070*m + 302411. Calculate t(1468).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3 = -5*v. Suppose 0 = -0*d - 4*d. Suppose v = -d*l + l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*v - 4*v + 4*r, -5*v = r + 18. Put -29, v, 1 in decreasing order.\nAnswer: 1, v, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/8 + 405*s\/8 - 9477\/4.\nAnswer: -(s - 351)*(s - 54)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22.7 (b) -2\/7 (c) 2\/3249\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/11 - 2*m**3 + 132*m**2 = 0.\nAnswer: -33, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*s - 88. Suppose j - 2*x = s + 11, 4*j - 132 = -4*x. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -294 + 3562. Suppose -j - 182 = -3*x - 1258, 3*j + x - v = 0. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -692 by -53346.\nAnswer: 346\/26673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(-21)\/112 + 1172\/16 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**3 + 4*j**3 + 3*j**3)*(3*j**2 - 3*j**2 + 10*j**2).\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*t + x - 77, 2*t - x - 139 = 0. Let k = 75 - t. Differentiate -32 + 40*s - 40*s - 3*s**3 + 32*s**k with respect to s.\nAnswer: 87*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 1:33 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 - (-9 + 22).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 124\/651*(-1188)\/36?\nAnswer: -44\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 37 + 23 + -54 - (-3 + (41 - 2))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -34272, 5, 3 in ascending order.\nAnswer: -34272, 3, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -5. What is the remainder when (32\/6)\/(i\/27) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 716 = 122*d - 118*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(sqrt(2)*2) - sqrt(13)) + sqrt(13) - sqrt(1573)*1.\nAnswer: -21*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 13*w - 5. Let m be c(7). Solve 2*o = 5*y + 18, y - m = o - 2*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from qrqrrrr.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -117 - (3 + -2 - (42 - 48)) - -9?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27.645 + -28. Let s = -0.846 - a. Round s to two dps.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**13)**(28\/3)*(a*a**8\/a*a)**30 assuming a is positive.\nAnswer: a**(1174\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 218 - 217. Suppose 3*w = -2*s + 12, 4*w + f = 5*s - 52. Suppose 159 = 3*q + 30. Calculate the remainder when q is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -489.2067 rounded to one decimal place?\nAnswer: -489.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 - 4.04. Let j = 4.1 + f. Let o = 0.70099 + 1.29901. Which is the second biggest value? (a) 0.5 (b) o (c) -0.3 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 4*i + 0*i)*(5*i**3 + 3*i**3 + 9*i**3) + (-i**2 - i**2 + i**2)*(2 + i - 3 - 1)*(-102*i + 62*i - 250*i).\nAnswer: 307*i**4 - 580*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 92840645 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293066726?\nAnswer: 2, 9719, 15077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l - 1. Let y = 13 + -18. Let f = y - -8. Suppose -f*n = -3*t + 7 - 1, n = 2*t - 5. What is x(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7209 + 7209. Which is the smallest value? (a) 0.4 (b) i (c) 0.5 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-11 - -6) + (58 - (9 + -3 - 1))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 856.36 and 171?\nAnswer: 146437.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42597243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20118 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 3*n - n)*(6 - 2 - 5 + 12 + 11 - 2 + (1 - 5 + 3)*(2 + 1 - 1) - 3 - 1 - 1) to the form o*n + u and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q**2 + 4*q. Let m(w) = w. Give d(m(k)).\nAnswer: 6*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.407775l to millilitres.\nAnswer: 7407.775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 + 0 = 0. Suppose g + 3 = -s*g. What are the prime factors of 42\/4 - g\/(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31, 172, 407, 736, 1159?\n\"Answer: 47*r**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -22*p + 14. What are the prime factors of i(-2)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3636 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1242?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-15)\/27 - -1)*-129. Let w be 2\/(-5) - (-91056)\/1575. Let l = w + y. Put l, -3, -1 in increasing order.\nAnswer: -3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)\/(u\/(u*u**(6\/11)*u)))**(-4) assuming u is positive.\nAnswer: u**(64\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595887334.\nAnswer: 2, 7, 769, 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence saa when three letters picked without replacement from sgaja.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97\/19 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 420 (base 9) to base 16\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783296 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -13400005*u - 2. Let z(l) = -6700002*l - 1. Let b(h) = -3*j(h) + 7*z(h). Let s be b(1). What is s rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2090 and 40.\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**3*g**3 + 4*d**3*g - 2642*d**3 + 2643*d**2*g**3 + 5*d*g**3 - 2*d*g**2 - 4*d*g wrt g.\nAnswer: -12*d**3 + 15858*d**2 + 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**6\/120 + z**5\/30 + z**4\/8 - z**3\/2 - 2*z**2 - 37. Let l(v) = 2*v**2 + 2*v - 2. Let n = -8 - -6. What is n*r(h) + 3*l(h)?\nAnswer: -2*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -34a6848 + -7?\nAnswer: -34a6852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v**(-1\/3)\/v)*v)\/v**(-9)*(v*(v*v*v**(-1\/7)\/v)\/v)\/v**(-4\/7))**(-2\/41) assuming v is positive.\nAnswer: v**(-620\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 327 divide 10744239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 31760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i = -z + 3, -2*z - 5*i = -13. Let q be (-1*18)\/(40\/(-60)*63\/28). Solve -j = 1, -q = x + x + z*j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 3.41.\nAnswer: 13.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*z + 3*w - 805, 6*w = 2*w + 7*w for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -2 + 42\/5*k**5 + 6*k - 73\/3*k**4 - 32*k**2 + 112\/3*k**3 - 6\/5*k**6. Factor i(d).\nAnswer: -4*(d - 1)**2*(3*d - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7349319406 to the power of 1\/3, to the nearest integer?\nAnswer: 1944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -12aa767?\nAnswer: 12aa764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4 = 10. Let k(m) be the second derivative of -163*m**3\/6 + 5*m**2 + 9*m. Is k(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 29*g - 67. Let p be o(-31). Which is the nearest to -8? (a) 3 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**2 - 37*s**2 + 10*s**2 + 16*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2 - 47842*c - 250194308 = 0. What is c?\nAnswer: -16198, -7723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3371208 rounded to the nearest 100000?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 12:32 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86347870.\nAnswer: 2, 5, 7, 43, 28687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -606 - -622. Solve 2*m + q = 3*q - o, -4 = -m - 3*q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6*a - 16. Let w be m(5). What is the highest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16227?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 0*n + 6 = -3*n, -3*n = -x - 6 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 2) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 6) + (1 - -2). Suppose -4*k + 2*z + f = 4*z, 3*k = -2*z + 2. Suppose 4*q = -k*q + 20. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.1, -1, -6 in increasing order.\nAnswer: -6, -1, -0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -3.2927?\nAnswer: 1.2927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 2:55 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.1 + -3. Let u = -2010 + 5968\/3. Let x = -190\/9 - u. Which is the closest to q? (a) 3 (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1519 - 2*o**2 - 48367*o + 48369*o + 1869 to l*o + p*o**2 + k and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-45)*(-432)\/480?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 3*b**2 + 3*b - 1. Suppose 5*t + 2*s = -11, 3*t + s + 19 = 6*s. Calculate l(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/22*522\/783.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3538142523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 2*b + 2. Let m = 108 - 105. Suppose 4*u - 15 = 3*u - 2*r, 5*u - 10 = m*r. Suppose 3*x + u = -x + w, -8 = x + 2*w. Give q(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*4\/(-6)*(-570)\/(-2926)*7\/10?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 128808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 1. Let p(y) = -6*y**2 - 6. Let k(a) = -p(a) + 5*w(a). Let j(t) = -3*t**2 + t. Determine j(f) - 2*k(f).\nAnswer: -5*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6731 divided by 3?\nAnswer: -6731\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -1118*t**3 + 40250*t**2\/9 - 30194*t\/9 + 2\/3 = 0.\nAnswer: 1\/5031, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-68)\/7 - 6\/21. Calculate the common denominator of q\/(-24)*(-534)\/20 and 3\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319872.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*r + 17*r + 30*r - 17*r = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 60 = 7*r. What is the remainder when (-2)\/7 + 228\/14 is divided by (6\/(-5))\/(3\/r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 - c**3 + 0*c**3)*(76 - 79 + 55*c - 299*c).\nAnswer: -244*c**4 - 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*5*(sqrt(112)\/((sqrt(44)*-1)\/sqrt(11) - sqrt(4)))**2.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 20, -5*i = -3*r + 16 - 2. Solve -4*t = 2*d - 3*t - r, 5*d - t - 15 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -184*f**4 + 0*f + 2*f + 4*f**3 + 181*f**4 - 2*f**2 + 6*f**3 - 7*f**3 + 2 in the form n*f + t + a*f**2 + v*f**3 + y*f**4 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17\/5 (b) -1.8 (c) -13.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16137 + -11549. What is the remainder when b is divided by 82?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-24)\/(-9) - 3). Let r(y) = y**2 - y - z + 3. Give r(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**5\/9 - 148930*q**4\/9 - 2772294710*q**3\/9 + 8317777730*q**2\/9 - 8318075600*q\/9 + 2772741512\/9.\nAnswer: -2*(q - 1)**3*(q + 37234)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -12*h**2 - 71*h + 6274. What is q(-26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152 - 175 - (-61 + 10).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - 5*(sqrt(68) - sqrt(68)*3)) + sqrt(68)*3*5)\/(-2*sqrt(484) + sqrt(256)*-3).\nAnswer: -13*sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 261?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w**2 - 9*w + 12. Let b(m) = 6*m**2 - 11*m + 13. Let y(z) = -4*b(z) + 5*v(z). Let a(f) = -5*f**2 + f - 7. Give 5*a(g) + 4*y(g).\nAnswer: -g**2 + g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3*u + 23819*g**3*v**2 + 8*g**2*u**2*v**2 - 9*g**2 - 110*g*u**2 - 3*g*u*v + 4*u**2*v + 7*u**2 wrt v.\nAnswer: 47638*g**3 + 16*g**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htbhtttthhtltttthttt. Give prob of picking 1 h, 1 b, and 1 l.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4371419375, 4371419376, 4371419377, 4371419378, 4371419379?\n\"Answer: a + 4371419374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-2.5056.\nAnswer: 2.5056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.3, -443\/2, -1\/4 in descending order.\nAnswer: 0.5, 0.3, -1\/4, -443\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 16*s + 3. Let i(k) = -16*k - 3. Give 5*i(j) + 4*n(j).\nAnswer: -16*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqhhhlqqxlh. What is prob of sequence ql?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 2*a**3 + 44615 + 8*a**2 - 20*a - 44612. Let g be z(-10). Is -0.2 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 7*r + 5. Let q be f(7). Let z(v) = 2*v - 5. Let g be z(q). Solve -5*b + 5 = 3*w + 2, -4*b = 5*w - g for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3e028 (base 16) to base 15\nAnswer: 503cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -206.3 + 205.8. Which is the third smallest value? (a) 1\/3 (b) -3.8 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (33\/5)\/((-2)\/10). Let j = 55 + y. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12\/31 (b) 4\/3 (c) -2\/153\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1934*v - 1701?\nAnswer: 1934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/4))**(-18)*(a*a*a**(-2\/13)\/a)\/(a\/a**(3\/19)))**(-9\/2) assuming a is positive.\nAnswer: a**(60003\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30145990.\nAnswer: 2, 5, 7, 127, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 4 (b) -3 (c) -0.2 (d) -274 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001101010111000000011 (base 2) to base 13.\nAnswer: -6a9a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-1157)\/(-78) - (6\/(-6) - -6).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o + 3*o + (-2 + 0 + 0)*(-1 - o + 1))*(-2*o**2 + 3*o - 3*o) + o**3 + 0 + 0.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36814 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 minus -22?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y - 464. Let r(z) = 7*z**2 - 10*z - 5. Let h(w) = -11*w**2 + 16*w + 8. Let k(t) = -5*h(t) - 8*r(t). Calculate k(x(g)).\nAnswer: -4*g**2 + 1856*g - 215296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/12*68\/(-51)*15\/(-1). Let g = 146\/117 - 14\/9. Which is the second smallest value? (a) 0.5 (b) g (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.1304 tonnes to grams.\nAnswer: 56130400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*s**2 - 690*s + 20*s**2 + 28*s**2 - 6*s**2 + 21*s**2 as u*s + r + x*s**2 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25\/4 of a meter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 143512 - -33?\nAnswer: 143545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-30)\/(-12) - 49\/22 and 32\/13?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 42. Let s be (0 - -2) + 44 + 2. Let r = s - i. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*d - 342*d**3 + 342*d**3 - d**4 wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7663463 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(44)\/(sqrt(40)\/sqrt(10))*4.\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*z - 19, -3*z + 4*g = -20 - 12. Suppose x + 1 = 4. Suppose -x*b = -6*b. Solve b*v + l = 3*v + 16, v = -4*l + z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 384 - 120 = 0. Let k = g + 70. Solve -4*c = 4*n - 8, 4*c - 3*c - 4*n = k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 11*u**2 + 58*u - 256. Calculate the remainder when m(4) is divided by 40.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 1579 = 4*s + 1572, 0 = -3*s + q + 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 6:20 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 836922580 and 4420.\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a hour in minutes?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(117) + 4 + sqrt(39)\/sqrt(3))**2.\nAnswer: 144*sqrt(13) + 1302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 12*k**2 + 5*k - 26. Let v be q(-7). Suppose v = -43*o + 51*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/78161930 and 95\/46897158.\nAnswer: 234485790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1))**(3\/20)*(c**(-3\/4))**(1\/30) assuming c is positive.\nAnswer: c**(11\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(190)\/(sqrt(405) - (-2*sqrt(405) + sqrt(405)) - sqrt(405)))\/((sqrt(288) + (sqrt(288) - (sqrt(288) + sqrt(288)*1)) + sqrt(288))*-1).\nAnswer: -sqrt(19)\/108 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - m)*(-2 - 1 + 4)*(-7 + 4 + 4) - 14 - 6*m + 14.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of (1*-18)\/((-3)\/(154 - 4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -9*v**2. Let f(p) be the second derivative of -29*p**3\/2 + 1445*p. Determine f(k(x)).\nAnswer: 783*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 9:57 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8*t. Let x(a) = 18*a**2 + 20*a + 4. Let c(m) = 5*m**2 + 6*m + 1. Let q(y) = 20*c(y) - 6*x(y). Determine k(q(n)).\nAnswer: -64*n**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003727095 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 + 45 + -120 + -30.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-26)\/7)\/(8 + -6). Let v = -5\/7 - g. Let u be (6\/9)\/(2\/3). Which is smaller: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 254583454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 0*k + 189265780156015 - 189265780156015.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 395231693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d + 9. Suppose 0 = -4*b + 36. Let h be x(b). Is 94\/3 + 6\/h a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 4*f = -4*w - 834, 0 = -w - f + 414. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1480, -1479, -1480, -1483?\nAnswer: -1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 30, 28, 26?\n\"Answer: -2*p + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 4*d. Let j be c(-5). Let s(h) = -5 - h**2 + 2*h + 2*h + 4*h. What is the tens digit of s(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -y - 4*b, -912 + 942 = -5*y - 5*b. Suppose 5*f = -0*u - 2*u - 21, 3*f - 2*u = -3. Sort f, y, -4, 5 in ascending order.\nAnswer: y, -4, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*sqrt(363) + 3 + sqrt(675)*-4 + ((-3*sqrt(81) - sqrt(81)) + sqrt(81))\/sqrt(3))**2.\nAnswer: 320*sqrt(3) + 19204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(1\/12))\/d)**(1\/16)*((d**(2\/33)\/d)\/d)\/d**(-17))**(-15) assuming d is positive.\nAnswer: d**(-159095\/704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100121210001202200 + 11?\nAnswer: 100121210001202211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-109*q**3 + 219*q**3 - 114*q**3)*(-4*q + 3*q + 0*q).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1186*l**6 - 2*l**3 + 2815*l**2 wrt l?\nAnswer: -142320*l**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 552 and (-37)\/(-111)*(-26)\/(-2) - 3\/9?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 528126833?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -7. Suppose 3*d = 5*w + 166 - 203, -2*d + 26 = 3*w. Let j = 2 - 2.1. What is the third biggest value in d, i, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**5\/5 + b**3\/3 + 654*b**2. Let n(w) = 10*w. Determine f(n(a)).\nAnswer: -1200*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4 - 154*m**3 - 6076*m**2 - 58904*m - 94752 = 0.\nAnswer: -18, -14, -2, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sodf when four letters picked without replacement from {q: 4, f: 2, o: 1, d: 2, s: 9, i: 2}?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-36) - 352\/(-1152) - 208\/612?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.085, -44, 0.1, -3\/8, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 7 = -5, -33*r + h = -203*r - 338 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iywweweewyywweeey. Give prob of picking 3 e.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2677665019 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(112)*-1 - sqrt(112))*3)\/(2*(sqrt(20) + 1*sqrt(20))\/sqrt(5)*-2).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**3 - 4*u - 5. Suppose -9*g = -14*g + 25. Let h(v) be the second derivative of v**5\/10 + v**3\/3 + 3*v**2\/2 + v. Give g*h(b) + 3*d(b).\nAnswer: -2*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**6\/45 - l**5\/3 - 2*l**4 - 56*l**3\/9 - 32*l**2\/3 - 14*l. Factor k(m).\nAnswer: -2*(m + 2)**3*(m + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.78*8\nAnswer: 22.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**3)**(-2\/27))**(2\/25))**36 assuming c is positive.\nAnswer: c**(32\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5014*d - 890*d - 366048 = 0 for d.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - 13. Let w be 10\/g*(-20)\/2. Let r(j) = 3*j - 11. List the prime factors of r(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y = 2*c + 27*y + 62, 1138 = -47*c - 2*y - 319 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 3*d - 6 = 27, 0 = -433*k + 219*k + 212*k - 4*d - 14 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + y**3 - 1)*(2*y - 3*y + 0*y) + 38*y**3 - 82*y**3 + 41*y**3 - 50*y**4 to the form j*y**4 + a + b*y**2 + o*y + n*y**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/53? (a) 0.15 (b) 1\/58 (c) -0.041\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104495\/37976 - 290\/101. What is the common denominator of -91\/470 and m?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 times 128.636?\nAnswer: 20.58176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/2250 and -109\/50844?\nAnswer: 19066500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2785160 or -2785152?\nAnswer: -2785152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qffu when four letters picked without replacement from {x: 3, q: 1, f: 6, u: 2}.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2957 minus 37255999.798?\nAnswer: -37258956.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 208*u - 193*u - 45 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114.568 + -115. Round h to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19787 and 1067235?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 q when four letters picked without replacement from vhhvhfvqvkqvhvfv.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/j**(4\/13)*j**(-9\/8) assuming j is positive.\nAnswer: j**(59\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.118 and -1697253.\nAnswer: -1697252.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35496 - -7403. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 m when four letters picked without replacement from zzmzzmzzmzzzzm.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - ((-8)\/(-6))\/(92\/207). Let h(k) = 9*k - 7. Let l(d) = -10*d + 8. Give y*h(u) - 6*l(u).\nAnswer: -3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17521 rounded to 4 decimal places?\nAnswer: -0.1752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 28. Let d = 23 - 9. Let l = d + m. Which is the closest to 0.04? (a) l (b) 2\/11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*2*4 + sqrt(130) - sqrt(130) - (sqrt(130) - sqrt(130)*-2*3))\/(6*sqrt(1210)*-4 + sqrt(1210)).\nAnswer: -sqrt(13)\/253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*-1)\/(8*(-34)\/(-2448))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*y - 6 + 54 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/6 + 331142\/(-84). Let g = i - -47189\/12. Calculate the common denominator of g and -151\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qoo. Give prob of sequence qo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, c: 2, e: 2, p: 5}. Give prob of sequence ppw.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9018 - -9044. Calculate the remainder when (-1084)\/(-6) + 1\/3 is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89196 divided by 12.\nAnswer: -7433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/78 < 3.74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 6*n + 12 = n - n, 5*k = -2*n - 44 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 15) to base 14.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 20, -2\/7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/879391 or 0?\nAnswer: -4\/879391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 302 and 302 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -12*p - 19. Let m(a) = 0*a - 4 - 3*a + 5*a + 4. Calculate m(s(u)).\nAnswer: -24*u - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0592 to three decimal places.\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 15 = -5*l, -3*l + 5*m = -2*l - 3. Let y be (-4)\/10 + (-23)\/5. Let r be y\/(-2 + (1 - -2)). Sort -7, l, r.\nAnswer: -7, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -i + 30. Suppose 5*w + 20 = i. Suppose 3*l = 5*l - w. Solve -y - l*t - 3 = 0, 0*y + 3*y = t + 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/11, -19.6, -0.3, -17\/5, 0.4, -9?\nAnswer: -19.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (12 - 5 - 29)) + -18\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s**2 - 5*s + 5. Let i = -27 - -22. Let j(d) = 7*d**2 - 6*d + 6. Calculate i*j(g) + 6*v(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.586655 millilitres in litres?\nAnswer: 0.006586655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - p - 4. Let n(h) = -h**2 - 43*h + 87. Let f be n(-42). Let g be 86\/f*(-3)\/2. Which is the smallest value? (a) p (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.24854 and 3299592.6.\nAnswer: 3299589.35146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -10*n**5 + 1103645*n**4 - 8276980*n**3 + 22623425*n**2 - 26485780*n + 11035700 = 0.\nAnswer: 1, 2, 5\/2, 110357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1001001010?\nAnswer: 1001000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 50 - 6*s + 45 - 104. Let x be m(-4). What is the greatest common factor of x and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 - 8)\/(0 - -1). Let s(j) = 2*j**3 - j**2 + 7. Let n(c) = c**3 - 1. Let d(k) = 6*n(k) + s(k). What is d(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -856685\/7 - -122734. Let d = -351 + h. Sort d, 3, 3\/7, 5 in decreasing order.\nAnswer: 5, 3, 3\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1f (base 16) to base 10.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 996 (base 15) to base 13.\nAnswer: ca8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6+-4.61\nAnswer: 1.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**4 - 23*t**2 - 7*t - 18439. Let h(q) = 3*q**4 + 12*q**2 + 3*q + 9220. Let n(v) = -7*h(v) - 3*x(v). Find the first derivative of n(r) wrt r.\nAnswer: -36*r**3 - 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-3)\/(0 + -3)) - -3. Is (-1384)\/(-60)*5*r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 625758?\nAnswer: 625757.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 154000 + -90479. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 75, -6, 0, -2, -2\/11, 6, -143?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide -33*(-59748)\/72 - 33\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (0 + 0 + sqrt(99)) - sqrt(99))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 36*h - 9 = -38*h, 2*h + 12 = 0. Let z(l) = -3*l**2 + l + 5. Let w(r) = r**2 - r - 2. Calculate d*w(j) + 3*z(j).\nAnswer: -2*j**2 - 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 197168096, 197168095, 197168094, 197168093, 197168092, 197168091?\nAnswer: 197168090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -690*i = -228*i + 6006 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*v**3 + 0 + 9\/2*v**2 + 0*v.\nAnswer: -v**2*(v - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10324851 - -131472.92?\nAnswer: 10456323.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 12*d. Let y(c) be the second derivative of c**3\/3 - 23*c - 1. What is b(y(j))?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 24*d**2 - 44*d - 3. Let c be k(-22). Sort -1, -4, c, -12.\nAnswer: -12, -4, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghx when three letters picked without replacement from {q: 4, g: 1, l: 1, x: 1, h: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 3*k - 21, -76*y + 15 = -73*y - k. Let a(w) be the third derivative of -1\/6*w**3 + 27*w**2 + 0 + 1\/12*w**y + 0*w. Determine a(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14012 - -889. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -194538750 by -19453875.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 + 38 = -6*d. Solve -3*h = -7*h + d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 + 0*c**3 - 6 - 1 + 3 + 3*c**4 + 2*c**3 in the form z*c**3 + s*c**4 + f + d*c + p*c**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46887.\nAnswer: 3, 15629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*1\/1 - -4. Let t be 0 - (h + -2 + -1). Put t, -5, -13 in decreasing order.\nAnswer: t, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/25, -0.3, 0.4, 10, 0.1 in ascending order.\nAnswer: -0.3, -2\/25, 0.1, 0.4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b50b (base 12) to base 15.\nAnswer: bed5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -139 at least as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 43 = 2*m - 16, 5*m - 4*g = 164. Let p = 10 + m. Is p a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1397 <= -1401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 383162627?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.908506 rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4063.\nAnswer: 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 3, 2, -66, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j + 8. Let a(k) = -3*k + 7. Let v(w) = -5*a(w) + 4*i(w). Give v(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 848568, 1697043, 2545518, 3393993, 4242468?\n\"Answer: 848475*d + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 2:16 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4ae5 - -393?\nAnswer: -4752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 10*l**2 + 52*l + 279. Calculate t(-5).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2\/7 - 40*q\/7 + 200\/7 = 0. What is q?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(2736)*3 + (sqrt(2736)*3*3 - sqrt(2736)))*2*-4)**2.\nAnswer: 175104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 2:12 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 8856*x**2 + 55*x**3 - 4427*x**2 + x**4 - 4410*x**2 as b*x**3 + f*x**2 + p*x**4 + s*x + l and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 1 + 3*d - 4*d - 31663*d**2 + 31750*d**2.\nAnswer: 87*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114124 and 6925.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243 + -0.16.\nAnswer: 242.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imi when three letters picked without replacement from {i: 2, m: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*l**2 - 169*l + 72*l**2 + 73*l**2 + 169*l.\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 276277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1131 + 1134. Let o(t) be the third derivative of 0*t - 1\/8*t**4 + 0 - 5\/6*t**w + 15*t**2. Determine o(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 202308 divided by -6.\nAnswer: -33718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1353\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*y = 45, -y + 9 = -2*v - 5. Is v + 1157 - (-3 + 4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 + 3*b. Let i be h(-3). Let d be -2*(-5)\/(30\/i). Factor -3*y**d - 3\/2*y**4 + 0 - 3\/2*y**2 + 0*y.\nAnswer: -3*y**2*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -23 + 16 - (2 - -6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 + 3*b**2 - 4*b + 3 - 8 - b. Is q(10) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 181*o**2. Let x(b) = 13196*b**2 - 6. Calculate x(z(t)).\nAnswer: 432314156*t**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*d - 4*h, 5*d - 2*d + 3*h = 3. Let t(m) = m**2 - 5*m - 4. Let s(k) = k - 1 - k - k. Give d*t(u) - 4*s(u).\nAnswer: u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095597782 take away 0.4?\nAnswer: 1095597781.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + 125\/32)*(-8)\/2. Let g(t) = -t - 17. Let v be g(-7). Let d be (-12)\/v*(-20)\/(-42). Which is the smallest value? (a) 1\/4 (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -917.49 - -917. Let a = -133.51 - -135. Let l = s + a. Sort -0.2, 8, 1\/5, l in decreasing order.\nAnswer: 8, l, 1\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + ((-1 + sqrt(242) + 2)*-1 - (-2*sqrt(242) + -2 - -6*sqrt(242)*-1)))*-4)**2.\nAnswer: 9856*sqrt(2) + 189984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**4 - 46*g**2 - 195 wrt g?\nAnswer: 4*g**3 - 92*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 387 or 495?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -102 - -106.7. Let b = o - 0.7. Let q = -0.1 + -0.1. What is the nearest to q in -3, b, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1649*y**3 - 2269*y**3 + 939*y**3 - 1044*y**3 - 3*y**3 - 2*y**3 + 4*y**3 + (1 - 2*y**2 - 1)*(y - 2*y - y) - 4*y**3 + 4*y**3 - 2*y**3.\nAnswer: -4022*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, p: 1, b: 2, t: 1, a: 2, x: 2}. What is prob of picking 1 i and 1 x?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - d + 23 = z, 4*d = 5*z - 25. What is the units digit of 448\/z + (-14)\/(-63)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 + 47 = -27*r + 205. Solve -150 = r*s - 34*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 4 (c) -0.3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-110)\/(-9) + 20\/(-90). Let v(r) = 20*r - 235. Let y be v(z). Solve t - 7 = 7*x - 3*x, 0 = -2*t - y*x + 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 68 (b) 0.084 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 234, 1018, 2312, 4104, 6382?\nAnswer: 9134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*l - 202, 4*l - 100 = -3*p + 318. Suppose 2*d + g - l = 0, 68 = d - 3*g - 2*g. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.480623 and 0.739.\nAnswer: 2.219623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 203*p - 3979. Calculate h(20).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 2042551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b**2 + 19*b**2 - 36*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/27, 29, -1017.2?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48111\/5 - -527584\/45. Let i = 2103 - x. Let -i*m + 0 + 4\/3*m**2 - 2\/9*m**3 = 0. Calculate m.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1, 337, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 + 0*t**3 - 3*t**3)*(2*t + 2*t - 7*t)*(17 + 8 + 14).\nAnswer: 234*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + -1*sqrt(102))\/sqrt(6) - (-5 + sqrt(34)\/sqrt(2)) - (-5*-2*sqrt(136) + sqrt(136))\/(sqrt(88)\/sqrt(99)).\nAnswer: -34*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 12. Calculate g(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 693, 731, 793, 879, 989?\nAnswer: 1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5240*o**6 + 5*o**2 - 223*o?\nAnswer: -628800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 36\/45 - (-816)\/(-170)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 7*c - 25. Let u(h) = -13*h + 5. Let d(t) = -7*t + 3. Calculate c*d(w) + 3*u(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 1, -3, 2 in ascending order.\nAnswer: -3, 1, 2, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4) + (-189)\/(-28). Let g(w) = 10*w - 1 - r - 2*w**3 + 2 - 10*w**2 - 4. Let s(t) = -t**2 + t - 1. Suppose c - 1 = -0. Give c*g(f) - 10*s(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/v**(-6))\/v*v**(2\/25)*(v**(-2\/3)*v)**(-1\/23)*(v**1)**(-24)\/(v\/(v\/v**(-1)))**(-1\/20) assuming v is positive.\nAnswer: v**(-110293\/6900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3597 + 1180. Let u = 74925\/31 + g. Let v be (1 + (-6)\/5)*3. Is v equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(4*sqrt(5)*-5).\nAnswer: -sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8245.6 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-217)\/(-42) + (-1)\/6. Sort c, 2, -1.\nAnswer: -1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + -2.5. Which is the closest to -2? (a) -0.4 (b) 4 (c) -1\/4 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**5\/20 + y**4\/12 + y**3\/6 - 25*y**2\/2 + 4*y + 19. Calculate b(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*((1 + 1 + 0)*(-3 + 2*a + 3) + 3 + a - 3).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) -1\/9 (b) -5 (c) 798 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2723)\/36177*((-4)\/5)\/(84\/(-30)).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 17.4, 0.0389, 0, -5, 2 in ascending order.\nAnswer: -5, 0, 0.0389, 2, 17.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3))**(-21)\/(q**(-1)*(q*q**(-4\/9)*q*q*q)\/q*q*q*q) assuming q is positive.\nAnswer: q**(-167\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5590 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -238\nAnswer: -71.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + a - 4. Let v be i(-5). Let d be -3 - (v\/(-2) + 1). Let b be 16386\/(-21) - d\/(-14). What is b rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**4\/6 - 41*w**3\/6 - 1161*w**2\/2 + 8417*w\/6 + 61705\/3 = 0.\nAnswer: -43, -5, 7, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-4)\/(-40)*((-117)\/18)\/(-13).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 640*t = 211*t + 211*t + 212*t, -2*w = t + 24 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one halves of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/129 in -1\/2, -9.05, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 2 - 4\/3*l**3 + 0*l**2 + 0*l. Let h(z) be the second derivative of z**3\/6 + 3*z. Give h(n(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2\/21, 3\/7, -0.1, -3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -1.9233043\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6697.229 millennia in centuries?\nAnswer: 66972.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4374191515 to 2 decimal places.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 142951357961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -4. Suppose -14 = -5*t + f, -2*f + 11 = b*t + t. Solve -5*c = 5*z - 15, 9 - t = 3*z + 2*c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13370 + -13373. Which is the fourth biggest value? (a) 4 (b) -0.4 (c) n (d) -3\/2 (e) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9552*p + 9552*p - 3113*p**3)*(3*p + 2*p + p) in the form c*p**2 + k*p + x*p**3 + s + a*p**4 and give a.\nAnswer: -18678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/35 + 930\/(-21). Let m = a + 2. Let z = m + 48. What is the lowest common multiple of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -221 - -221. Solve -g + 1 = -0, b = -4*p + 3*g + 17 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -116 - 16. Let a be -1 + -1 - d\/(-2). What is the tens digit of (-1)\/(3 + a\/22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 23*h - 38. Does 14 divide a(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 108*c**2 + 303*c - 198.\nAnswer: 3*(c - 33)*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -343 bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from jsrrjjrzrjjrllglrr?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2733200 and 125.\nAnswer: 13666000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 887, 1766, 2643, 3518?\nAnswer: 4391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1486 - 13826 = -12*p. Find the first derivative of 19*g**3 - p*g + 1276*g + 29 wrt g.\nAnswer: 57*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-2 - 35\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/((-3660)\/18239) - 50)\/(159\/18)\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 2 = 7*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*z**5 - 4*z**5 - 5*z**5 + (-4*z**4 + 3*z**4 + 0*z**4)*(-2 + 2 + 2*z) - 3*z**5 + 2*z**5 - z**5 + z**5 - z**5 + z**5.\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 2, -0.1, 0.3, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -19. Let y(v) = -3*v + 4*v - j*v + 0*v. Determine y(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2391465287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from {e: 4, d: 1, s: 4, m: 6}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.42 + 4.42. Let n = 114.5 + -114. What is the closest to 4 in n, 6, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 10*p + 1. Suppose y + 4 = 2*y. Calculate the remainder when d(y) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-8)\/8 + 12138 + 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27612)\/364 + -10*(34\/10 - 3). Which is greater: -80 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(133)\/((sqrt(84)\/sqrt(3))\/sqrt(4)) + (sqrt(19) + sqrt(19)*-2 + -1)*2)*1.\nAnswer: -sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -394, -795, -1220, -1669, -2142?\nAnswer: -2639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, x: 2, y: 4, d: 1}. Give prob of sequence dq.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from caakcbfb. What is prob of sequence afck?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 196 and 4125541?\nAnswer: 115515148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sassassssaa. Give prob of sequence saa.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 156\/(-91))\/(0 - 1\/7). Sort 499, 5, m, 2 in descending order.\nAnswer: 499, 5, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4920 = 13*n + 384. Is n less than -409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*k + 46*k = -k + 1095 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 533828504 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**2 + 1603*q - 522. Calculate c(534).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1\/3 (b) -2\/17 (c) 0 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/30 + 6376\/120 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-656)\/(-22) + (-2)\/(-11). Let l = 3 - t. List the prime factors of 184\/18 - (-6)\/l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b58 (base 15) to base 2.\nAnswer: 100111111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k. Let a(y) = 48 + 37 - 89 + 6*y + y - 3*y. Determine a(f) - 5*o(f).\nAnswer: -f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(72) + sqrt(72))*4)\/sqrt(2))\/(sqrt(96)\/(sqrt(16)\/sqrt(2)*-1)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -18*q**4 - 2*q**3\/3 - 28*q**2 + 49. What is the third derivative of t(v) wrt v?\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16028 + 16152. Calculate the smallest common multiple of i and 1302.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 475*c - 475*c + 5*c**2 - 3 to y*c**2 + n*c + r and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k - 18*k**2 - 22 + 19 + 19*k**2. Let y(f) = f**2 + 5*f - 9. Let j be y(-7). Calculate q(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 5 + l - 2*l - 7.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -741 - -743. Suppose -z*k + 198 = 4*a - 2*a, -2*k - 5*a + 195 = 0. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1318917, 2637840, 3956763, 5275686, 6594609, 7913532?\n\"Answer: 1318923*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**5\/60 + 7*h**4\/12 + 25*h**3\/6 + 49*h**2. Let p be ((-1)\/(-1) + 3)*-4. What are the prime factors of y(p)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 10, x: 1, l: 4, s: 2}. Give prob of picking 1 s and 1 x.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -8 - 1572*b + 6*b**3 + 1680*b - 2*b**5 - 54*b**4 + 8 + 166*b**2 = 0?\nAnswer: -27, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hinh when four letters picked without replacement from {h: 2, i: 1, n: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**2 + 5*g + 3. What is the remainder when l(6) is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f**3 - f**2 + 25*f + 75. Give m(-4).\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q - 1. Let a be m(-1). Let l = 6809\/618 - 19\/103. What is the common denominator of l and (-77)\/a + (-8)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12168\/360 + 1\/(-5)*-6.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpc when three letters picked without replacement from {p: 11, c: 3}?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, -4, -2\/7, 1585 in ascending order.\nAnswer: -62, -4, -2\/7, 1585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*o + 14. Let c = o + -3. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*x**2 + 6394*x + 120*x**2 - 408*x**2.\nAnswer: -x**2 + 6394*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**7\/105 + x**6\/15 - 2*x**5\/15 - x**2\/2 + 24. Let w(c) be the second derivative of p(c). Let w(o) = 0. Calculate o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 6:09 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, 34, 95, 188, 319, 494, 719?\n\"Answer: f**3 + 7*f**2 + 7*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4469\/1974 + -65\/47. Let n be (4\/290)\/((-119)\/(-35)). Let q = n + -21203\/986. Find the common denominator of q and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -4, 1, 2\/11, 6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2))**(-34)\/(o\/o**(-3\/11)*o*o**(-3\/11)\/o) assuming o is positive.\nAnswer: o**67","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*y + 153*y = -154, -2*d - y - 32 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**4 - 2*o**4 + 0*o**2 + o**2 - 33*o**3 + 1 + 1 to the form u + s*o**3 + f*o**4 + v*o + n*o**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 9:45 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 - 3*j**2 + 4*j - 3. Let y be (2 + -1)\/(-1 + 0). Let s = y - -3. List the prime factors of f(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 - 2138*p - 92720. Calculate c(-41).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -443330497.499 plus 0.05?\nAnswer: -443330497.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1073 and 3182?\nAnswer: 92278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 7, x: 1}. What is prob of sequence bx?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -98*q + 126*q - 196 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 293*b - 160*b + 3 - 152*b. Let m(p) = 10*p - 1. Let t(l) = 4*i(l) + 7*m(l). Find the first derivative of t(k) wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 5\/53192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 - 568*m**2 - 4050*m - 6984.\nAnswer: 2*(m - 291)*(m + 3)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 45 and 692\/15 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 6 = -0*p, 0 = x + 5*p + 8. Suppose 0 = -2*q + 4*g - 12, x*q - 2*q + 3*g = 9. Solve q = 5*j - 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 37*f**2 + 9*f + 5844. Let h(m) = -8*m**2 - 2*m - 1461. What is -9*h(b) - 2*k(b)?\nAnswer: -2*b**2 + 1461","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.6635 at most as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 2:22 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8a906a (base 15) to base 9\nAnswer: 13386521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 10590008.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -133*h + 132*h + 1518, -3*h - g = -4522. Calculate the remainder when h is divided by 752.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7056.8131 to the nearest 10.\nAnswer: 7060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-312)\/572)\/((-133)\/660 + (-28)\/(-210)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 3*x + 155, 443*x - 444*x + 169*k + 627 = 0 for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-1))\/(9\/(-15))*3. Let j be (139\/10 - (-12)\/(-24))*c. Let f = 132 - j. What are the prime factors of f?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1111*l = -1113*l + 14466. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53917891 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 10:01 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*j - 340 = -289*j + 535*j. Suppose 2*x + 21 + 1 = p, -4*p - 4*x = -88. Calculate the smallest common multiple of j and p.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (sqrt(931) - (sqrt(931)*-1 - sqrt(931))) + sqrt(931)).\nAnswer: -10 + 140*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 5150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2186 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344159591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1454917 or 1454918?\nAnswer: 1454917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(112\/(-21) + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 + -63. Suppose -i + a*n + 5005 = 2*n, 14971 = 3*i + 5*n. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 315\/15*833\/(-343)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575 is divided by 286?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5721502.\nAnswer: 2, 2860751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is abd0 (base 14) in base 6?\nAnswer: 345510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 16, 2, -18, -44, -76, -114?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 - 51. Suppose f*u = 1031 + 1034. Is 57 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 6 + 9 + -40 - 59\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -614887.317437.\nAnswer: -614887.517437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 25*n + 8. Factor 0 + n*c + 1\/4*c**3 + 1\/4*c**2 - 1\/4*c**5 - 1\/4*c**4.\nAnswer: -c**2*(c - 1)*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-5)\/(-75) - (-118)\/(-15). Let u(d) = d**3 + 7*d**2 - 6*d + 10. Determine u(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4)\/(-3)*-40. Let z be (f\/25)\/(2\/5). Factor -4*b**2 + 26*b**4 - 41*b**3 + 18*b**z + 11*b**3 - 2*b - 8*b**5.\nAnswer: -2*b*(b - 1)**3*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69892, 139786, 209680, 279574, 349468?\nAnswer: 419362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 + 2*t**2 + 3*t**2 + (t**2 + t**2 - 3*t**2)*(-4 - 1 + 6) - 6*t + 6*t - 7*t**2 to f + r*t + a*t**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 41*1*(6 + -10 + 3). Suppose -4*g = 2*i + 162, 3*g + 4*i - 54 = -183. Which is greater: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**(1\/2))\/w)\/w)\/w**1)**34*(w**(-3)*(w\/w**(-1)*w)\/w*w)**(-32) assuming w is positive.\nAnswer: w**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*f**2 - 1\/5*f**3 + 0 - 2\/5*f.\nAnswer: -f*(f + 1)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3844605264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**4\/24 - 111*w**2\/2 - 101. Let k(q) be the second derivative of x(q). Let b(u) = 87*u**2. Calculate b(k(f)).\nAnswer: 87*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**5*a)\/a)\/a**(2\/31) assuming a is positive.\nAnswer: a**(153\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 2, i: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52936 by -1018.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 3 - (-1 + 1). What are the prime factors of (4 - 2)*(a + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116566 (base 9) to base 8\nAnswer: 211461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*41\/((-246)\/12)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 5*w - 625, w + 7 - 4 = 0. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1. Let z(r) = -r + 3. Let h(j) = 6*m(j) + 2*z(j). What is the remainder when 167 is divided by h(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 11*a + 17. Calculate the remainder when 66 is divided by j(11).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*b + 92218 = 5189*b + 16394 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 12*m - 32 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4324 - -1453151?\nAnswer: 1444423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6014513717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 times 0.038?\nAnswer: 1.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -2\/5, -5.\nAnswer: -5, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t + 11902. Let y(z) = -12*z - 23801. What is -7*v(p) - 3*y(p)?\nAnswer: p - 11911","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 6*s - 5. Let j be t(-4). Let a be (-2)\/j*(-15)\/(-10). Let c(f) = -3*f + 1. Let n be c(a). Is 4 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 0 + r**4 - r**2 - 1\/4*r**5 - 2*r**3 + 1\/40*r**6 + 0*r. Find x, given that v(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y**4\/5 - 4646*y**3 + 241188*y**2\/5 + 1957168*y\/5 + 496896 = 0 for y.\nAnswer: -3882, -4, -5\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35.7 - 110.5. Let v = 11.8 + f. Let p = v + 62.7. Which is the nearest to 2? (a) p (b) 3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.5 - 2.5. Let w be 4\/(-12) + (-76)\/(-156). Suppose y + 5 = 6*y. Which is the closest to y? (a) 0.2 (b) f (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1564062 + 382?\nAnswer: 1564454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/1793350 and -19\/35960.\nAnswer: 208028600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2 + 0*m**3 + 321*m**2 - 328*m**2 - 16*m - m**3 + 10*m. Suppose 3*r + 20 = -2*o, 0 = r + 3*o - 7*o + 2. Give y(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 + -1)\/((-1683)\/(-243) - 7). Let h = v + 539\/5. Let n = 0.7 - 0.3. Which is the nearest to 4? (a) 0.3 (b) n (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, q: 5, s: 3, o: 1, k: 2, m: 6}. Give prob of picking 1 s and 1 k.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2153511 (base 6) to base 7.\nAnswer: -631021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w - 113 = 3*i, -5*w - 10*i + 6*i - 29 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*h + 824 = -200 + 164. Solve h*n + 51 = 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3 (b) -72512 (c) -6 (d) 1\/3 (e) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03332251 rounded to 4 decimal places?\nAnswer: 0.0333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*b - 118*b = 217*b - 277*b + 20358 for b.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36598 is divided by 35719?\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(sqrt(170)*2 - sqrt(170)) + (sqrt(170) - (2*sqrt(170)*1 + sqrt(170))))\/(sqrt(60)\/((sqrt(6) - sqrt(24))*-6)).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + o + 2*o + 4)*(o**2 - 5*o**2 - o**2) as g + m*o**3 + c*o + q*o**2 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 0*k**2 - k**3)*(k - 2 + 0*k + k).\nAnswer: -2*k**4 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**2 + 2*j + 1. Let v(y) = 31*y**2 + 12*y + 5. Let t(d) = 6*q(d) - v(d). Let k(r) = -r**3 + 2*r**2 - 4. What is -k(i) - 2*t(i)?\nAnswer: i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 3, f: 1, x: 1, y: 1, e: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55869775 and 11683.\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**6\/14 + 9*n**5\/35 + 9*n**4\/14 - 10*n**3\/7 - 9*n**2\/2 - 27*n\/7 + 12. Suppose u(o) = 0. What is o?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6387*b**3 + 0*b - 4*b - 6087 - 933*b**3 + 8*b - 6*b wrt b.\nAnswer: -43920*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 + 0)*(t + t + 0*t)*(503*t + 275*t - 8*t) in the form k + m*t**2 + y*t and give m.\nAnswer: -7700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 29 = 3*w, w + w - 6 = 3*i. Let a be 4 - 7 - 33\/(-12). What is the second smallest value in a, -2\/5, 0.02, w?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16889, 16887, 16885, 16883, 16881?\n\"Answer: -2*w + 16891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + (-88 - -28 - -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 + 9*u**4 + 42)*(2*u - 2*u + 2*u).\nAnswer: 18*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 326675 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -9. Let o = a - -6. Suppose -5*z + o = -15. Calculate the highest common divisor of z and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(22)\/(-2*sqrt(176) - sqrt(176)) + sqrt(22)\/(sqrt(176)\/sqrt(4))*2) + -2.\nAnswer: 4 + 11*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 0\/(-5) + -3 - -126. Find the first derivative of 22*m + 52 - 326 + d wrt m.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + 3*((sqrt(18))**2 + sqrt(2)) - (2 + sqrt(2) + -4).\nAnswer: 3*sqrt(2) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 2 + 3 + (9 - 12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 719.16 to the nearest 10.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0 = -4*l + 3, -5*l + 14 = 4*d. Factor 0*y**2 + 170 - y**l - 166.\nAnswer: -(y - 2)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a + 3*z + 64 = 0, -4*a + 205 = 5*z. Let k(i) = -4*i**3 - 225*i**2 - 78*i - 1166. Let v be k(-56). What is the greatest common factor of v and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/220241 and -41\/314630?\nAnswer: 2202410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 77938, 77947, 77968, 78007, 78070, 78163?\n\"Answer: x**3 + 2*x + 77935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 299312.31 months in millennia?\nAnswer: 24.9426925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4029522107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 56532\nAnswer: 11306.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 50 * -0.0453919\nAnswer: -2.269595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12061847809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3060, -6114, -9166, -12216, -15264, -18310, -21354?\nAnswer: -24396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -798093\/5 + 158686. Is r smaller than -933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 77546 + 2756?\nAnswer: 80302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1044 and 30.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.06546 from -13721705940.\nAnswer: -13721705940.06546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2501034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11560460 divided by -11918\nAnswer: -970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -1 + -5 + (sqrt(99)\/(3*sqrt(9) - sqrt(9)))**2 + -3*(0 + sqrt(11) + sqrt(99) + sqrt(11) + 5).\nAnswer: -14*sqrt(11) - 73\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/3)\/(4\/12 - 1). Which is the third smallest value? (a) -2\/19 (b) m (c) 112\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*396\/88*(-2)\/6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -x - s, -2*x - 4*s + 356 = -0*s. Suppose -5*k + y + 161 + 68 = 0, 4*k - x = 4*y. Does 23 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1894)\/32)\/(4 + (-18)\/4). Let g(u) = -21*u - 8. Let t be g(-6). Let c = t - v. Is c >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1915.433 kilometers?\nAnswer: 1915433000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmuummmumulsum. Give prob of sequence lm.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8336 is divided by 756.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.49 - 0.01. Let d = -7.5 - o. What is the smallest value in 0.5, 0.8, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40979537.\nAnswer: 17, 23, 311, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1098964 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 2*x**2 + x - 1. Let k(a) = -68*a**4 + 4*a**3 - 7*a**2 + 3*a - 85. Let z(m) = 2*k(m) - 6*l(m). What is the third derivative of z(f) wrt f?\nAnswer: -3264*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 40. Suppose 4*k - 81 = k. What is the highest common divisor of d and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22498229 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 + 17.2. Let i = s + -17.999948. Round i to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 503.975 - 499. Let d = -0.025 - v. Let a = 15\/2 - 8. Put a, d, 4, -3 in descending order.\nAnswer: 4, a, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -451331, -451332, -451333, -451334?\nAnswer: -451335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 225, 2046, 7045, 16812, 32937?\n\"Answer: 265*l**3 - l**2 - 31*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l + 5*l - 24 + 7 + 13*l - 21*l. Let b(w) = -6*w. What is b(m(k))?\nAnswer: -18*k + 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 46 - (-15 - (46 - 62)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*i = -1498197, 1304*q + 5*i - 2996405 = 1300*q. What is q rounded to the nearest ten thousand?\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 9. Suppose 0 = 2*i - 8 - t. Suppose 3*f - 138 = 3*o + 171, 0 = -2*f + 3*o + 201. What is the highest common factor of f and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1369585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (120\/90)\/(2\/9). Let k be c\/4*3\/18*4. Let a be (-1)\/(6\/8 - 1). Solve -a = 5*i + k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 - 24. Suppose 0 = 4*z + 8, z = -3*x + d + 4. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 136647 - 4?\nAnswer: 136643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtwtttttttt. What is prob of picking 2 t?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 7*k + 6. Let z be s(-5). Suppose 3*g + z = -o, -2*o - 1 - 1 = 0. Which is the closest to 0.1? (a) g (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + -8. Let p(l) = -5*l**2 - 12*l - 40. Let w be p(-3). Let n = w - v. What is the smallest common multiple of 11 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1322 - 1201202?\nAnswer: -1133220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-216)\/540)\/(2\/(-30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27252?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 789399 divided by 507?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-2*(-3 + -4*((sqrt(931) - (sqrt(931)*1)**2)*-4 + sqrt(931)*2 + -3 + 4)).\nAnswer: -224*sqrt(19) + 59612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 28 = p + p, -374*p + 4*d = -395*p + 370 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 15\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 60\/(-100) - -1*(-74)\/10. Let o(i) = -102*i - 195. Let y be o(l). Calculate the greatest common factor of y and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 57823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/4*(-62)\/155.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35489825?\nAnswer: 5, 7, 202799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-1075)\/(-15))*-180*(-36)\/4860\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -3116\/36543 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*h, t - 45 = 5*h - 63. Let d(g) = -g**3 - 4*g**2 + 4*g + 5. What is d(t)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 10 - 44 = -2*d, -z - 189 = -5*d. Suppose d + 43 = 5*x. What is the greatest common divisor of 16 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**2 - 12*i + 10. Suppose -z + 0*z = 4*f - 4, -2*f + 2 = -5*z. Let x be r(f). Solve -x*v = -2 - 1, d = -5*v + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 2. Solve 4*g + c = 13, -g + 2*g = 5*c + t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 11, -175, -1, 7, 16 in increasing order.\nAnswer: -175, -3, -1, 1, 7, 11, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*c - 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.119? (a) 2\/9 (b) -1\/2 (c) 16\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 9.9. Let s = d + -0.7. Let u = s - -2. What is the closest to -0.1 in u, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20180?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2938765446 rounded to 2 dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -138666 (base 9) to base 11.\nAnswer: -58a43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 87*g**3 - 3*g**2 + 1. Let b be v(1). Let r = -71 + b. Suppose -10*w = -11*w + r. Calculate the remainder when 33 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 741\/121 + -3735\/847. Determine g, given that 4\/7*g**3 + 0*g**2 - h*g + 8\/7 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*v - 102152 = 52*v + 175*v for v.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 + -46. Suppose 11*h = v*h - 40. Suppose 346 = h*q - 2*q + 3*n, 0 = -2*n. What is the remainder when q is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 1. Let u(r) = 43 + 16*r + 22 + 29 - 3*r**2 - 88. Calculate u(s) + 5*y(s).\nAnswer: 2*s**2 + 16*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -61*l - 1458 + 4560. Solve l = 33*a + 212 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3302 - 52?\nAnswer: 3210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 6945, 19 in ascending order.\nAnswer: 0, 4, 19, 6945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (230\/40 - (-2)\/8)\/((-3)\/(-10)). Solve 2*r - 5*s - 10 + 2 = 0, -5*r = -s - v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4563 and 663?\nAnswer: 77571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 + -2)*(-116)\/(-203). Suppose -y*c - 9 = -3*z + 32, -z + 5*c + 21 = 0. Solve -z = -3*p + 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-226 - -227) + -4 + -1 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/22 (b) -1\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 33 = -12. Let z be r\/(-8)*(-32794)\/(-4). Let n = z + -9228. Calculate the common denominator of n and -145\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -16*f**2 - 10*f - 7. Let p(k) = -5*k**2 - 3*k - 3. Let m(d) = -3*b(d) + 8*p(d). Find the second derivative of m(a) wrt a.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c**3 - 2*c**2 + 4*c - 3. Suppose -3*f - l + 8 = 2*f, -5*f = -4*l - 18. What are the prime factors of u(f)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 12:19 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319553?\nAnswer: 13, 47, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -6*h**5\/5 + 10*h + 10. What is the derivative of t(g) wrt g?\nAnswer: -24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33356 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, 2, 1, -4, -321 in increasing order.\nAnswer: -321, -4, 0, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*r**2 + 620445*r*u - 2373*u - 18748 wrt r?\nAnswer: 36*r + 620445*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) - 8\/6. Let l = 5.028 - 0.028. Let x = 0.1 + -0.6. Which is the nearest to r? (a) x (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -171 in -1, 2\/15, -12, 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 6017?\nAnswer: -2406.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 130451, 130425, 130373, 130289, 130167, 130001, 129785, 129513?\n\"Answer: -v**3 - 7*v**2 + 2*v + 130457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/6*(48\/(-630))\/((-3)\/60)\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s + 15 = 0. Let p be -1 - (-223 - (0 + -1)). Let t = -211 + p. What is the third smallest value in -1, 4, t, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 1:36 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1823904 divided by 96?\nAnswer: -18999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -43127 * -2057\nAnswer: 88712239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*m + 180. Let o = m + 69. Suppose o = -6*q + 66. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50451 (base 6) to base 4.\nAnswer: -1213333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19 + (-528)\/32 - ((-3)\/6)\/(-1). Solve 0 = 3*n + b + 8, 2*n - 3 = -p*b + 3*b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 245 and -0.3.\nAnswer: -73.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 14*b**5\/5 - 755*b**4\/6 - 12*b**3 + 541*b**2 + 2*b. Factor a(c).\nAnswer: 4*(c - 18)*(42*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71492567?\nAnswer: 71492567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 7*z**2 + 2*z**3 - z + 5*z - 2 + 0*z**3 to l*z + t*z**2 + h + g*z**3 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + (1 - -3 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, u: 2, k: 2, r: 1, d: 2, v: 1}. Give prob of picking 1 v and 1 e.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -25380000 rounded to the nearest 100000?\nAnswer: -25400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.33, -3, 5858 in descending order.\nAnswer: 5858, 0.33, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546473 is divided by 315.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5 + 50*g**4 + 2*g**3 - 50*g**2 = 0. What is g?\nAnswer: -1, 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55990750 is divided by 18663581?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5376746 - 223.5287746. Let q = -12.7 - 210.3. Let l = q - w. Round l to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + -1 - (-4)\/(-1 - 1). Suppose x = 9*l + l - 20. Suppose 4*d = 3*h + 286 + 80, l*h = d - 89. What are the prime factors of d?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 3*t + 4*t)*(-4 + 4 + t) + 315*t**2 - 198*t**2 + 105*t**2.\nAnswer: 224*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/43 equal to -10.72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1136 - -1.8864. Put -0.32, 5, u, 0.1, 3\/2 in decreasing order.\nAnswer: 5, u, 3\/2, 0.1, -0.32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318780 is divided by 318742?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 71*w - 360. Give m(12).\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from oqqqqoqowoooo?\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126241*s**2*v**3 + 23*s**2*v - v**2 - 2*v + 69 wrt v.\nAnswer: -757446*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + (-1)\/(-1))*-5. Suppose -p*d + 40 = -d. Suppose -25*g + 138*g + 253 = -312. Put d, -1, g in ascending order.\nAnswer: g, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.936, -4, -1\/3, -2 in decreasing order.\nAnswer: -1\/3, -2, -4, -8.936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/21 + 532510*g\/21 + 887500\/7.\nAnswer: 2*(g + 5)*(g + 266250)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 11\/8 (b) 1\/12 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - 453\/(-153))*3. Let g(c) = 244*c - 728. Let r be g(3). What is the biggest value in r, -5\/2, b, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7072 times 13?\nAnswer: 91936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**30))\/(l*l**(32\/5))*(l\/(l**(-7\/8)*l*l))**(3\/10) assuming l is positive.\nAnswer: l**(-599\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2108? (a) -797 (b) 1\/7 (c) 3\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 13*w = 841744. Suppose 2667128 = 4*c - w. Round c to the nearest 10000.\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*q + 2536509 = 88*q. Let i = q + -1983491. What is i rounded to the nearest one hundred thousand?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 5\/(-3))*(-12)\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 46 = i, -19*j = -17*j + 3*i - 38. Solve -j*w = 8 + 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 3. Let f = -1301 - -1298. What is the closest to l in 0.3, -5\/6, f?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 752441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1584) + -3)*-6 - (sqrt(11) + (sqrt(11) + 3)*2 + (sqrt(55)*-2)\/sqrt(5))**2.\nAnswer: -137 + 348*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - 1*(2 + -1). Suppose -1 - 7 = -4*l. Find the second derivative of -3*o + 8*o**2 - 6*o**l + v*o wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -11. Let u be 1\/(2\/l) + 0. Suppose 6*t = 5*t + u. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8528782329 to three decimal places.\nAnswer: -0.853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/6 (b) 0.6 (c) 1\/5 (d) -0.26 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-34)*k*k\/k**26)**(-7) assuming k is positive.\nAnswer: k**406","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/4 and (-6)\/(-15) + (-36)\/140 + 0.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1040 divided by 2388?\nAnswer: -260\/597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6\/(-8))\/((-3)\/156)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrtyryty. What is prob of picking 1 t and 1 r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7\/11, 2, -4?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -10. Let x = -345.3 + 345. What is the closest to a in x, 5, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-14)*k*k*k*k*k*k**(-35)*k)\/((k**(-28)\/k)\/(((k**11*k)\/k)\/k)) assuming k is positive.\nAnswer: k**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 0.13, -1\/4, 2, 12, -0.317?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3125 and 0.3?\nAnswer: -937.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**3 - 10*s**2 - 16*s - 5. Let w be k(-8). Suppose -4*p = -3*i + 3027, 4*p + 1993 = 4*i - w. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + u = 93, -2*a + 19 = -u - 38. Let m = -14 + 25. Calculate the remainder when a is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3469*p + 3477*p - 136 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.5 - -3. Let a = -850.5 - -850. What is the third biggest value in a, y, 5, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4571 = -j + 4*l - 3*l, -4*l + 4 = 0. Suppose 0 = 15*g - 981 + 936. Is 46 a factor of (j\/33)\/g + 8\/(-44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + -5. Suppose 0*w + 15 = -3*w. What is the biggest value in c, w, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 249\/(-27) - (-2)\/9. Let b = -4 - z. Let j be ((-50)\/3)\/(b\/1230). What is j rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*j - 78*j - 3 = 0. Let l be (j + 4)*(-21)\/3. Let m = 33 + l. Sort 4, m, -5, -3 in descending order.\nAnswer: 4, m, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8687 - 8683. Solve -j + 11 = 2*z, i*j - 11 = z + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-360)\/63 - (-4)\/(-14))*100\/150?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 1. Let j = d + 2. Let q(x) = -x**2 - 5*x + 1. Let n be q(-4). Sort j, n, 2 in increasing order.\nAnswer: j, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -r + 11, -5*r + 19 = -5*f + 2*f. Let y = 58 + -53. Which is the third biggest value? (a) f (b) y (c) 3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4233888 and 5490.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - f + 3. Let u be y(0). Suppose 0*h + u*h - 12 = 0. Suppose -2*v - 4 = -h*v. Is v greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 3*h**2 - 3*h - 3. Let z = -72 - -75. Determine o(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 9000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*v - 10, 4*v - 5*v + 4*s = -2. Let q be v\/(-12) - 1\/(-6). Let w(x) = x + 14. What is the remainder when 41 is divided by w(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u + 6. Let c(h) = 0*h + h + 1 - 3*h + 4. Let n(y) = -6*c(y) + 5*m(y). Let w(f) be the second derivative of -f**3\/3 - 2*f. Give w(n(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38201713 is divided by 553648.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 70 = x, -3*x - 350 = -8*x - 4*j. Suppose -5*a + n + x = -3*n, -n + 25 = 3*a. Let k = -9 + 26. Calculate the remainder when k is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288 = -12*b - 25*b + 55*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-32)\/(-288))\/((-1)\/(-39)). Let f(d) be the second derivative of 0 + 10*d + 10*d**2 + m*d**3. What is the derivative of f(z) wrt z?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - -4. Suppose 90 = -q*n + 37*n. What is the lowest common multiple of n and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 2 - (0 + (-1 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x + 104. Let m(s) = 6*s - 103. Let t(v) = -4*h(v) - 5*m(v). Is 9 a factor of t(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = b - 5, 0 = 5*b - 10*b - 5*o + 15. Solve b = t + g, 4*g - 8 = 2*t - 4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o. Suppose -2*n + o*n + 36 = 0. Suppose 4*v - 7 = -r + 1, 0 = 2*v - 3*r - n. What is the greatest common factor of 27 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14695039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -1.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/5 - -1\/10. Let k = 1.65 + -5.65. What is the smallest value in 5, k, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 120 + -119.999999937. Round a to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.029 + 1.746.\nAnswer: 1.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-3 + 3 + -7 + 5). Is l not equal to -61\/97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/752100 and -73\/20.\nAnswer: 752100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + 2)*(4*p - p - p) - 4*p + 0*p + 2*p)*(-10*p**3 + 16*p**3 + 8*p**3).\nAnswer: 28*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15367 in -0.2, -1\/8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 5:03 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(20)) - (sqrt(45) + 5 + 2))**2.\nAnswer: -24*sqrt(5) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(550)*5 + (-2*sqrt(352) - sqrt(352)))\/(sqrt(98)*-1*-6))**2.\nAnswer: 1859\/1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1071, -5829, -10587, -15345, -20103, -24861?\nAnswer: -29619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6193 <= -0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnrmrn. Give prob of sequence nrn.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41030134?\nAnswer: 2, 59, 463, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1877506700 to the nearest 1000000.\nAnswer: -1878000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.36 at least as big as 3118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/24 and -61\/336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7029*n + 909*n + 295038 = -36*n for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -432.6198 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -22*t. Let i(h) = -17*h. Calculate k(i(r)).\nAnswer: 374*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6) - (11 + -13).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*324\/225 - (-54)\/(-675)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + r**2 - r + 1. Let j(t) = -13*t**3 - 8*t**2 - 4*t + 87. Let h(u) = -2*a(u) + j(u). What is the second derivative of h(d) wrt d?\nAnswer: -66*d - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51264 and 1869.\nAnswer: 358848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-18))\/((-230)\/(-828)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 8*k - 6. Let m(h) = -9*h + 7. Let n(r) = -7*d(r) - 6*m(r). Let j(p) = -p + 3*p + p. Give n(j(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, 3, 39, 89, 153, 231?\n\"Answer: 7*w**2 + w - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -164*x**2 - 66*x**2 - 88*x**2 as f*x**2 + m*x + h and give f.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2 + 114*k = 0. Calculate k.\nAnswer: 0, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**4\/30 + 2*k**3\/45 + 19. Determine v, given that f(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -21*u - 87. Let l be g(-5). Solve 4*z - 3*v - 29 = 0, l = 4*z - 2*v - 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07, 0.09, 1, 4\/5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/r**(-5)*r)*r)\/r)\/r**(4\/3))\/(r**(-1\/3))**(5\/2) assuming r is positive.\nAnswer: r**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.6 and -2.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 6*p - 2*p. Let b = 9 - p. Solve 0 = -3*t + 10 + b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.26 + 0.01. Let t = b + 0.05. Let x = 0.199923 + t. Round x to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + -7 - -2)*8. What is the thousands digit of 4\/b + (-2345)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 64\/10) + 6\/(-10). Let u be (-1)\/(-2) - b\/(-2). Does 22 divide u\/(-3) + (-1705)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 4 - (407 - 439)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from zzzzzzmzzmzrzz.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 116*i - 17. Let h(z) = 23*z - 3. Let b(c) = 11*h(c) - 2*k(c). Let x(t) = -t + 5. Let m be x(6). Give b(m).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*f*h**3*t - f*h**3 - 5*f*t - 2*f - 63*h**3*t + 3*h*t wrt h?\nAnswer: -42*f*h*t - 6*f*h - 378*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 1416834.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 787.3761 or 0.1?\nAnswer: 787.3761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9733, 4, 9.\nAnswer: 0, 4, 9, 9733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - 7*g**2 + (11 + 19 - 34)*(8*g + 4*g**2 - 8*g).\nAnswer: -23*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101125 (base 8) to base 3.\nAnswer: -1200202202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - a**2 + a + 1. Let h(s) = -5*s**2 + 5*s - 11. Let t(o) = -5*d(o) + h(o). What is the derivative of t(c) wrt c?\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1410 and 52610.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -251*p**3 + 4*p**2 + 2*p + 11. Let y be b(-3). Let h = y - 3327. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {v: 1, e: 1, z: 1, p: 1, h: 1, i: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.9 + 13.9. Let h = 3.5 + -13.5. What is the nearest to g in 2\/11, h, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 3*v + 23. Let s be z(-7). Which is the nearest to -6? (a) 4 (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, b: 1, s: 1, g: 9, t: 1, a: 1}. What is prob of picking 1 a and 1 t?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 14) in base 8?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + o - 2*o - 36 = 0, -9 = -t - 4*o. Suppose -11 + t = -d. Factor 2\/7*v**5 + 4\/7*v**d - 6\/7*v**4 + 4\/7*v**3 - 6\/7*v + 2\/7.\nAnswer: 2*(v - 1)**4*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3512896 (base 10) to base 8.\nAnswer: 15315100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-36)*(-3 - (37 - 38)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-9) + 7357\/21. Let j = g + -339. Solve -2*n = -z - 5*n + j, -15 = -3*n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r. Let n(c) = 143*c - 23*c - 207*c + 556*c + 483*c. Give n(a(z)).\nAnswer: -1904*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -15*q - 1. Let g = 5 + 1. Let j(l) = l. Let h(t) = g*j(t) + s(t). What are the prime factors of h(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-3)*9\/2. Let b(i) = 1 + 6*i - i - n*i. Let l(a) = -6*a. Let s be l(-1). Give b(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 92 + 1\/4*r**4 + 0*r + r**3 - 5*r**2. Factor i(p).\nAnswer: p*(p - 2)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -1, 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Let v = 221 + -18. Let x = 3858\/19 - v. What is the third smallest value in x, 2\/11, h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2122, 2120, 2118, 2116, 2114, 2112?\nAnswer: 2110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/((-3)\/(-8))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -96 - 15ad3?\nAnswer: -15b69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14398\/15 - (-64)\/480. What is the greatest common divisor of 48 and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 25*x**2. Let a(f) = 19023224*f. Calculate a(l(y)).\nAnswer: 475580600*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -119957*w + 479834. Calculate k(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2574714 is divided by 886.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 709551?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/(-845)*16\/1)\/2?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.4 (b) -2 (c) 1 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 10*w**2 - 3*w + 20. Let m be d(-9). Let j be (2\/4)\/(8\/m). Let v be (-120)\/(-21) + j\/28. Round v to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*o - 2*o + 3*o)*(-35 + 46 - 67) - 3*o + 5 - 5)*(-7*o**2 - o**2 + 5*o**2)*(-2*o + 2*o**2 + 2*o + (2 - 5 + 4)*(4*o**2 + o**2 - 3*o**2)).\nAnswer: 708*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2432 - -1409.6. Let w = -1022 - h. What is the biggest value in 0.3, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**4 + 34*w**3 + 30*w**2 - 34*w - 32 = 0?\nAnswer: -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 98945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -0.661, 0.03, 134?\nAnswer: -0.661","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 15*f - 144. Let v(q) = -10*q - 5. What is the remainder when v(-4) is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001995898 to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 169 + -167. Solve i*f + 12 = -4*l, 4*l + 6*f + 16 = 3*f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 8*f = 0. What is the first derivative of w**2 + 3 - 3*w**2 + f*w**2 wrt w?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887446003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4197287 and 1?\nAnswer: 4197286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*d - 98897 = -87*d - 3*x, 0 = -2*d - 4*x + 39570. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9, 553, -3, 7 in decreasing order.\nAnswer: 553, 7, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133 divided by -19.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 632 - 624. Suppose -q*w - 3204 = -17*w. Is w equal to 356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -79 - -79. Suppose s = -2*f - 5*r + 16, 5*f + r - 19 = -r. Solve -z - 3 = f*q - 8*q, -3*q + 5*z - 7 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 4514321?\nAnswer: 4514322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 59, 34, 5, -28, -65?\n\"Answer: -2*l**2 - 19*l + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.5, 5\/3, 1\/3, -33?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnwnrwrw. Give prob of sequence rnr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 996?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w - 3. Let s = -5 - -7. Let v be n(s). Suppose l = v + 8. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a - 4*a + 6*a)*(2 - 6*a - 2 + 4) + (1 + 1 - 1)*(-2*a + 2*a - 4*a)*(-1 - 2*a + 1) as q*a + f*a**2 + w and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, z: 2, s: 1, o: 6}. Give prob of sequence sc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnzqzzqzqqdqq. Give prob of picking 3 z and 1 n.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (4\/42)\/(28\/(-42))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q. Let r be m(-1). Let p(i) = 3*i**2 + 1 - i**3 + i - 5*i + 3*i. Let a be p(3). Are r and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 76 + 268. Round f to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 145*w - 33. Let m(i) = 436*i - 97. Let d(s) = 3*m(s) - 8*y(s). Is d(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 25 + 22)*(-3 - 1 + 3) - 4 + 15 + 4)*(j - 4*j + j).\nAnswer: 66*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*w**3 + 180 - 9*w + 2069*w**2 - 2067*w**2 + 9*w in the form n + s*w**3 + c*w**2 + o*w and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 1. Let n(l) = -l**2 - 2*l + 1. Let v be n(1). Let z = 17 + v. Calculate the remainder when a is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (207\/83 + -1)\/(-47). Let a = o - 527889\/2660482. Let y = 3\/62 + a. What is the biggest value in -4, y, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 368*v**5 + 1305*v**4 + v**3 + v**2 - 2*v - 224877 wrt v.\nAnswer: 22080*v**2 + 31320*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -18, -52, -108, -192, -310?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/14 + (-12)\/(-28). Suppose -3*w + f - 2*f = 0, -5*w - 1 = y*f. Let z(o) = 6*o - 1. Let q be z(w). Solve q*b = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -4*s - 10, 0 = -s - 2*q - 0 - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/52)\/(-2) + 308\/26. Let g be ((-10)\/s)\/(40\/(-72)). What is the closest to -2\/7 in -2\/11, g, -2, -0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 101.427 and 0.4.\nAnswer: 101.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2900 + 2899.8. What is the closest to 1 in v, 2\/3, 23, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94bcf (base 16) to base 5.\nAnswer: -123443411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -803 + 803. Solve 2*y - 6 = z, -4*l = -4*y - 0*y - 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, -0.03, -5, -11, 1\/3, 1188?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29592487, -29592491, -29592497, -29592505, -29592515, -29592527, -29592541?\n\"Answer: -c**2 - c - 29592485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 5 (c) -24208 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**8\/80640 + c**7\/10080 + c**6\/2880 - c**5\/15 - 3*c**2. Let q(d) be the third derivative of v(d). Factor q(t).\nAnswer: (t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 3*n - 4. Let i be c(-4). Solve 2*l = -h, -h - 3*l + 3 - 1 = i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + -2.6. Let k = -21.973 + 22. Let q = 0.073 + k. Which is the biggest value? (a) d (b) 1.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -947\/2355 - -1\/471. What is the nearest to 2\/567 in -0.1, v, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 11. What is the closest to v in 0.5, -0.4, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ono when three letters picked without replacement from oojnbho.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*d**2 + 1 - 3*d**2 + 3 + 5 wrt d.\nAnswer: -16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1544 - -114?\nAnswer: -1430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3532233 divided by 185907?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-2)*(-17 + 16). Suppose -3*a = 71*a - 12*a. Let w*q**2 + 0*q + 9\/4*q**3 + a + 3\/4*q**4 = 0. What is q?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) 1 (c) 928\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 12 + 6 - (-6 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 7*y - h + 13199 = 0, -5*h = 4*y - 13195. Does 50 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7025300 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3664482?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 11. Suppose -19 = -4*o + 5*d, 3*d - u = -2*o + 3*o. What is the remainder when 43 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*j + 60*j = 123*j. Solve -2*l + 2*f = -10, j = -3*l + f - 3*f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 8*l + 8. Let m be o(-8). Let n be (-15)\/6*m\/(-10). Let j be 47\/9 + 4\/(-18). Solve -j*p + 15 = -n*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*g**3 + g**2 + 998*g**3 - 26*g + 52*g - 25*g as w*g + l + j*g**3 + b*g**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 9, -4, 6, -2.2, -2\/23 in increasing order.\nAnswer: -4, -2.2, -0.5, -2\/23, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13141124 + -11?\nAnswer: 13141113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(2\/9))\/(i**(-6)\/i)*i**(2\/5)\/i**(-2\/9) assuming i is positive.\nAnswer: i**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 2. Let v be w(-1). Let m = 15 + -13. Let p be 5 + -3 + 4\/m. Solve -v = p*j + 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2 + 644*g + 1280 = 0. What is g?\nAnswer: -320, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - -18)*1\/(-2). Let c be (-5)\/(5\/(-6)) + -5 + 8. Let h be ((-5)\/3)\/(-5)*c. Sort j, h, 4 in descending order.\nAnswer: 4, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p - 7. Let q be l(5). Suppose -24 - 3 = -q*c. What is the tens digit of 16\/72 - (-376)\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5)*w*w*w**(-1\/5) assuming w is positive.\nAnswer: w**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3362993168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31095 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 143 + -93. Let n = u + -53. Let l be 12 + (n + -1 - 0). Solve -b - b = -l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99317 = 40*q - 99077 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000110010111000000 (base 2) in base 11?\nAnswer: 187583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (11 + -7)*694\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 10055513415?\nAnswer: -10055513423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-39))\/(0 + 4 - (174\/9 + -11)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2690*l + 900*l + 895*l + 899*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15422170 - -2?\nAnswer: 15422172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 40\/(-10)) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, t: 1, n: 4, j: 1, r: 3}. What is prob of picking 2 r?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 0 + 7*t - 5\/6*t**3 + 3*t**2. Differentiate g(d) wrt d.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(612) + 0 - (-5 + (-1*sqrt(17) - sqrt(17)) - (sqrt(68)*1)**2).\nAnswer: 8*sqrt(17) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 79025 = -96*n. Let j(v) = 726*v**2 + v + 1. Let o be j(-1). Is n <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 31476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19017 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: Convert 0 (base 5) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 686.5649um to meters.\nAnswer: 0.0006865649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.9 + -8. Let r = 25 + -30. Which is smaller: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1514830 is divided by 40?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -111 (c) -0.1 (d) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(125) + sqrt(5)) - (sqrt(60)*1)\/sqrt(12)) + (sqrt(140)*-6)\/(sqrt(14)\/(2*sqrt(2))))**2.\nAnswer: 6845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2905 - 2870. Calculate the remainder when 61 is divided by h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5 + 1486\/10. What is r rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2 + (sqrt(80) + sqrt(80)*2 - sqrt(80))**2 + (sqrt(80) + 0 + -3)**2 - (3 + sqrt(80) + (sqrt(80)*3 + -5)**2)) + -4.\nAnswer: -346 + 92*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1443121 + -170.943297.\nAnswer: -1443291.943297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10576, -2, 1, -185 in decreasing order.\nAnswer: 1, -2, -185, -10576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 68*k**3 + 177*k**3 + 32 - 62.\nAnswer: 109*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*j + 46, 0 = -3*r + 6*r - 12. Calculate the common denominator of -137\/6 and j\/(-21) + 1893\/84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*n + 1, 2*g = 2*n - 4*n + 10. Calculate the remainder when g is divided by 3 + -4 + 3 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1698 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: Expand (-2 + 2 - b - 2 + (0 - 1 - 1)*(-3*b - 2*b + 4*b))*(-46 + 20 - 32).\nAnswer: -58*b + 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2. Let r(m) = 2*m**2 + 3. Let c(a) = 7*a**2 + 11. Let f(j) = 6*c(j) - 22*r(j). Calculate f(n(g)).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105.315 - -106. What is z rounded to two decimal places?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21686 * 2\nAnswer: 43372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**4\/6 - 7*h**3\/6 - 7*h**2\/2 - 12*h. Is r(7) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5320091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**8\/336 - 17*p**7\/840 + p**6\/10 + 29*p**5\/240 - 11*p**4\/24 - p**3\/2 + 70*p**2. Find z, given that i(z) = 0.\nAnswer: -6, -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - (6 + (-36)\/7) - 2209168\/(-28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*y - 15*y - 43*y - 140*y - 12*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, 374, 0.03 in ascending order.\nAnswer: -2\/21, 0.03, 374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1902 and -87\/31222.\nAnswer: 29692122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, 2, 6 in decreasing order.\nAnswer: 6, 2, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 8. Let u be q(5). Suppose -u*p = 7 - 106. What is the highest common factor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-1*(-4)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 104832*j + 82764?\nAnswer: 104832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 >= -1938342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -12843.\nAnswer: -2\/12843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -55*y**2 + 1. Let s(c) = 2*c**2. Give s(p(q)).\nAnswer: 6050*q**4 - 220*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4647371 * -1.\nAnswer: 4647371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 + 134 = d. Calculate the greatest common divisor of d and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3882.\nAnswer: 2, 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/16)\/o)**(-21\/4))**(-2\/9) assuming o is positive.\nAnswer: o**(-35\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3358*l + 4*l**2 + 1698*l + 1740*l + 7. Give t(-20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvbbvkybynvk. Give prob of sequence kkbb.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2 - 2*g + 2*g + g. Let u(y) be the second derivative of -2*y**3\/3 - 9*y**2\/2 + 2*y. Let a(x) = 18*q(x) + 4*u(x). Let j(z) = -z. Calculate j(a(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5 + (-296)\/(-40). Suppose 3*g - h = -3*t + t, -g + 11 = 5*t. Solve -3 = j, t*f + 1 = -2*f + 5*j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -5*d + 17. Sort -5, d, 19 in increasing order.\nAnswer: -5, d, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/14)*x**(-1\/10))\/(x**(-6)\/(x\/(x*x**(2\/7)))))**(5\/14) assuming x is positive.\nAnswer: x**(102\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -41744 - 3119094380?\nAnswer: -3119136124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -9*r**2 - 5. Let p(q) = 2*q - 7 + 8 + 9. Let m be p(-8). Let t = -1 - m. Let a(y) = 13*y**2 + 7. Determine t*a(w) + 7*b(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v + 149 = -1489. Let u(d) = -26*d + 35. Let o(h) = -468*h + 637. Let w(k) = v*u(k) + 5*o(k). Let z(a) = -6*a**2. Give w(z(f)).\nAnswer: -156*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8592 and 2672112?\nAnswer: 2672112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10316711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s**3 + s**2 - 3*s - 3. Determine i(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/7 + -4 + 8\/21. Sort 3, d, -0.1, 0.04 in descending order.\nAnswer: 3, d, 0.04, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1063?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 72715.\nAnswer: -5, 2, 72715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 8:40 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/6 (b) -0.01 (c) -972 (d) -28\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czz when three letters picked without replacement from {c: 3, z: 15}.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -1473796*v**2 + 14568*v - 36 = 0. Calculate v.\nAnswer: 3\/607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-1))\/((-9)\/36). Suppose v*h + 4*d - 4845 - 15975 = 0, 5*h = 3*d + 25985. What is h rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 times 2.683?\nAnswer: -67.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 269\/93 - 7\/31. Let h be (-786)\/7467 - (-230)\/19. Find a such that -k + 12*a - h*a**3 + 8\/3*a**2 = 0.\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 104, 116, 128, 140, 152?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122311 + 10?\nAnswer: -122301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1312*u + 21371. Give v(15).\nAnswer: 1691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*j, 4*z = -5*j + 387 - 100. Are 338\/5 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 35. Let u(m) = 17*m**2 + 10*m + 1. Is u(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*b, -13*b - 61920 = -4*c - 18*b. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -2\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*a + 15. Let u = a - 10. What is the tens digit of u + 3 + (-51)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*(1*sqrt(114) + sqrt(114))*-4)\/(-6*sqrt(42)\/sqrt(7) + (2*sqrt(60))\/sqrt(10)).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**1*x\/x**(-2\/11)*x\/((x*((x\/x**1)\/x)\/x)\/x)*((x\/(x**(-5)*x))\/x*x)\/x assuming x is positive.\nAnswer: x**(101\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*c - 4*o, -2 = -2*o + o. Let d be 243\/12 + 3\/4. Let q = d + 9. Calculate the highest common divisor of c and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1097.668119154 less than -2?\nAnswer: -1099.668119154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**2 + c. Let r = 97 + -96. Calculate q(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 3*f**5\/25 - f**3\/5 - 8. Factor k(s).\nAnswer: 3*s**2*(s - 1)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/3)\/(1 + (-2)\/6). Let s(y) be the second derivative of -6*y - 20\/9*y**3 + 0 + 25\/18*y**n + 4\/3*y**2. Factor s(r).\nAnswer: 2*(5*r - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11, -8, -27, -46?\n\"Answer: -19*c + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*m = 24, -2*x = m - 5*m - 16. Suppose -5*a - 4*k - 20 = -x*a, -25 = 4*a + 5*k. Solve -6*o + 9*o + 3 = a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**5 - 3*p**5 + 2*p**5 + (-p**5 + 2*p**5 + 0*p**5)*(12 - 200 - 4).\nAnswer: -197*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 8654 = -160654. What is v rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = j + 10. Suppose 5*c = -a + 20, 2*c + 2*a = -3*c + 25. Solve -8 = -0*k + k - 2*f, -j = c*k + f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -54729 - 612?\nAnswer: -5513b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*r**3*t + 49*r**3*z**2 - 14*r**3 - 3*r**2*t*z**2 - 3*r**2 - 21*z**2 wrt r.\nAnswer: 36*t + 294*z**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**5 - 26498*j**4 - j**3 - 591499*j**2 - 18 wrt j.\nAnswer: 120*j**2 - 635952*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -60, -11, -0.387?\nAnswer: -0.387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/15)\/(28\/210)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 242388\/(-90)*-2*(-15)\/(-12) - 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*j - 21314*j**2 - 17*j + 4356*j**2 - 6*j to r*j + w + q*j**2 and give q.\nAnswer: -16958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 16*y**2 + 16*y + 20. Let q be r(-15). Solve 10*p - q*p = -4*v - 25, -v + p = -5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 - 6*z**2 + 4*z - 2. Let i be w(5). Let t(g) = 3*g**2 - 6*g + 4*g**2 - 119*g**3 + i*g**3. Calculate t(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63 - 101 + 6*l + 3 + (0 + 0 + 2)*(0*l - l - l) + (0 + 1 + 0)*(l - l - l) to the form w*l + y and give y.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(11\/5)\/b**(-13))**(2\/7) assuming b is positive.\nAnswer: b**(152\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 193286 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i + 3. Let h be p(-4). Suppose 4*u + 70 = -u. Let y = h - u. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 1 + 14. Suppose 10 + 6 = 2*w - d*r, -5*w + 25 = -5*r. Factor -2\/3 + 7\/3*h**w + 11\/3*h - 16\/3*h**2.\nAnswer: (h - 1)**2*(7*h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - 3 - (-62)\/(-22). Which is the closest to 1? (a) t (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6006611 and 299?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 11*m**2 + 80*m + 582. Determine s(-7).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2106 is divided by 142?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 11:05 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1308 is divided by 263.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(72) + -5 + (sqrt(72) + 1 - sqrt(72)) - 5*(3*sqrt(72) + sqrt(72)))**2.\nAnswer: 912*sqrt(2) + 26011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16436221 - -4?\nAnswer: 16436225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-20)\/6)\/((-24)\/(-180)). Let f = -20 - m. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, x: 2, c: 1}. Give prob of sequence xx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-42)*(-30)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/69 in -1, -0.4, -1\/2, 2, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1948026.\nAnswer: 2, 3, 149, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -388.13 - -383. Let l = -4.7 - y. Let j = l - 0.429967. Round j to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/209 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -4*f. Suppose 30 + 5 = -5*y. Let n = y - 2. Sort f, n, 2 in descending order.\nAnswer: 2, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16434 + 16433. Is u at most as big as 39\/232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 7:45 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**2\/7 + 8302*f + 58116\/7 = 0. What is f?\nAnswer: -1, 29058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -712, -708, -702, -694, -684?\n\"Answer: z**2 + z - 714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 q, and 1 t when three letters picked without replacement from cagcgqgtaacaac?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 213638840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-155)\/420*2 + 20\/35?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -791*f + 786*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*2\/(-8)*-2. Put s, -4, 2, 0 in increasing order.\nAnswer: -4, s, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + (sqrt(150)\/(sqrt(5)*2))\/sqrt(10) + 0 + sqrt(48)*3).\nAnswer: 20 + 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -4, 387\/5, 0.75, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -m + u, 3*m = u - 0*u - 4. Let z(n) = -5*n**2 - 4*n + 2*n**2 + 3*n. What is z(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.02 + -7.98. Suppose -3*j + 6 = -3*z, 0*j - j - 18 = 4*z. Is c at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.99, -4\/11, -0.1, 4 in increasing order.\nAnswer: -1.99, -4\/11, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229151761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/((-4)\/(-10))*22\/(-33).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -21*c**2. Let u(n) = 2*n. Determine u(y(z)).\nAnswer: -42*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f + 9*f - 8*f - 5*f - 5*f. Let b(d) = 24*d**2. Determine b(m(x)).\nAnswer: 4704*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7}. Give prob of picking 3 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -354*b - 1241. Determine g(-4).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/10 (b) -0.049 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 121*q - 19*q + 146*q - 2728 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -20. Let i(a) = a**3 - 51*a**2 + 97*a + 56. Let q be i(49). Let l = q - j. Calculate the highest common divisor of l and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857 is divided by (2 - -14)\/((9 + -1)\/(1 - -7))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100101111011101101 + 100?\nAnswer: 10100101111011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2*f - 34 = 2*s + 5*s, -s - 306 = 7*f - 252 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4228593 or -4228594?\nAnswer: -4228593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/11 (b) -0.08 (c) -0.29 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.24 + -2.24001006. Round c to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6869 + 19166. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(847) - (sqrt(847) + -1))**2*-6 + ((1*sqrt(847) - sqrt(847))*-3 + 2)**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 393 plus 0.51?\nAnswer: 393.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144208?\nAnswer: 2, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1\/3, 0.26, -3, 0.183?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 40086839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6699*r**3 - 3*r**2 - 15*r + 4 wrt r?\nAnswer: 40194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -2. Let r = -4 + i. Suppose -3*o + 5*p = -419, r*p = -3*p + 10. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 42*q + 44*q + 6, -4*q = -5*k + 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 2*z + 5*w, -3*z + 6*w - 25 = 2*w. Put z, -1, 0 in descending order.\nAnswer: 0, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 152429 (c) -1\/62 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (4 - (-11 - (-8 - 10))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -68. Suppose y = 1 - v. Let h(z) = 2*z + 9. Let p be h(y). What is the closest to p in -1, -0.2, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*o**3 - 128*o + 129*o - 79*o**3 + (o - 3*o + 3*o)*(-4 + 4 - o**2) as b*o**3 + u*o**2 + r + p*o and give b.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 3*y**2 - 2*y**3 - 3*y**3 + 0*y**3 + 4*y**3 + (1 - 1 + y)*(-2*y**2 - 3 + 3) + 6*y**3 + 10 - 10)*(-1 + 1 + 2*y**2)*(-15 + 51 - 110).\nAnswer: -444*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 - 17*h - 7. Is y(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*l - 12, 4*l - 12 = -88*c + 84*c. Solve m + 1 - 5 = p, 4*m = -c*p - 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 + 20*k + 13. Let q(m) = -m**2 - 10*m - 7. Let r(f) = -3*n(f) - 5*q(f). What is the units digit of r(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {r: 6, m: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 1. Let w be r(-6). Let k be w\/33 + 1\/3. Let j = 14\/23 + -172\/207. What is the nearest to 2 in j, k, -4\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.24 + 0.24. Sort x, 2, -3\/2.\nAnswer: x, -3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-14) + 5\/35?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**7\/420 - g**6\/80 + g**5\/12 + g**4\/2 - 6248*g**2. Factor l(m).\nAnswer: -m*(m - 3)*(m + 2)*(m + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*v**2\/9 + 914*v\/3 + 440\/9.\nAnswer: -2*(v - 55)*(25*v + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 584151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 5, 0, -418 in descending order.\nAnswer: 5, 0, -1, -4, -418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(153)*5)\/(sqrt(9) + (sqrt(54)\/sqrt(2))\/sqrt(3)).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9111288 and 4544.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12165.236 + 195847.444. Let p = q - 208094.6799953. Let v = 82 + p. What is v rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-118 + 19 - 83)*(-1 + 1 + x) to the form w*x + d and give w.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 2*l**4 - 6*l - 10*l + 246*l**3 + 7 + 2*l**2 + 15*l in the form c*l**2 + a*l + y*l**4 + s*l**3 + x and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipboh. What is prob of sequence oib?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61688, 123335, 184930, 246467, 307940, 369343, 430670, 491915?\nAnswer: 553072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 3*a - 25, -q = -238*a + 239*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 5*z - 140, -6408703*z + 41 = 3*l - 6408702*z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, z: 5, x: 4, e: 2, o: 1, d: 3}. Give prob of picking 1 x, 1 f, 1 z, and 1 o.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (9 + 0 + -241 + 234).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 382? (a) 0.4 (b) 1\/8 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3401 - -14313?\nAnswer: 10612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167924, -167930, -167936, -167942, -167948?\nAnswer: -167954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 107452, 106939, 106422, 105901, 105376?\n\"Answer: -2*t**2 - 507*t + 107961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1045 * -164\nAnswer: -171380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u**2 + 2*u + 32. Let q(w) = -12*w**2 + 5*w + 65. Calculate -7*l(b) + 3*q(b).\nAnswer: -b**2 + b - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 484\/1645 - 2\/235. Let b(t) = -t + 5. Let c be b(3). Factor -q*u**4 - 8\/7*u + 2\/7*u**3 + 0 + 8\/7*u**c.\nAnswer: -2*u*(u - 2)*(u - 1)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90218*w**6 - 19*w**2 - 4266 wrt w?\nAnswer: -10826160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8303650 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1469168355?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 59, 84, 107, 128, 147?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -58 (b) -1 (c) 5 (d) 0.2 (e) -2\/1737\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -305, -611, -893, -1139, -1337, -1475?\n\"Answer: 2*y**3 - 320*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 3 - 7 - (18 + (-17920 - 7)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20487 - 20487 + 7*c.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 390.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4915, -4901, -4883, -4861, -4835, -4805?\nAnswer: -4771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*36\/(-12)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.191744 times -5?\nAnswer: -0.95872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 20*w**2 + 21*w + 2. Let c be 2 + (1 - 9*-2). Let t be g(c). Let n(y) = 117*y - 4. Is 27 a factor of n(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**4\/4 + 2*o**3\/3 + 3*o**2\/2 - 4. Let a be c(-2). Suppose a*q - 8*q = 66. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -356*q + 30. Let y(j) = 1070*j - 96. Determine -16*f(w) - 5*y(w).\nAnswer: 346*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95705 - 95710. Let d be ((-5)\/50)\/(2\/(-5)). What is the nearest to 0.1 in v, 2\/5, d, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 32*t**2 + t - 1433. Calculate p(33).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/4094 and 18\/161?\nAnswer: 28658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -6001 = -3881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 119 or 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000503 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 449507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000047119979 to 6 dps.\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 + 8 = -33*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 = 6*r - r. Calculate the greatest common divisor of r and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45452750?\nAnswer: 2, 5, 7, 19, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 113285701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 + 9*d**2 - 9*d + 5. Let n(b) = -b**3 + 5*b**2 - 5*b + 3. What is 3*c(k) - 5*n(k)?\nAnswer: -k**3 + 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 247*i. Let n(q) = -q - 24782. Calculate n(m(t)).\nAnswer: -247*t - 24782","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 4. Let n be j(-2). Let k be ((-1)\/(-1))\/(n\/(-14)). Let x be (-2)\/7 - (-2)\/k. Which is greater: 2\/13 or x?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1102 + 24?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8*8 + 8 + -5. Solve 2*z - 2*j + 6 = 0, 2*z + m*j = -14 - 6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -94, 0.09, -3, -2, 0, 1.91, 3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) 6\/477665 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153, 0.4, 68, 1, 1\/23 in increasing order.\nAnswer: 1\/23, 0.4, 1, 68, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 55822.54cm in micrometers?\nAnswer: 558225400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (167*a + 13*a**2 - 167*a)*(113 - 56 - 234*a - 57) to w + p*a + n*a**3 + c*a**2 and give n.\nAnswer: -3042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3145585 and 885.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.3 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 176\/(-96) - (((-484)\/(-24))\/(-11) + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**3\/3 + 34*w. Let o(m) = 19*m + 2. Determine u(o(q)).\nAnswer: -38*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106 - 118. Suppose -6*b + 345 = 315. Put r, b, 0, 3 in ascending order.\nAnswer: r, 0, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 18.3, 0.19, -5\/19 in ascending order.\nAnswer: -5\/19, -0.1, 0.19, 18.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/8 (b) -4 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 5 = -4*n - 19, -o - 25 = 5*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(2\/7)*s\/s**(-6))\/(s**(1\/3))**(6\/7))**(1\/52))**2 assuming s is positive.\nAnswer: s**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 24\/80179, -3.\nAnswer: -3, 24\/80179, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11266243 (base 7) to base 12\nAnswer: 3b9887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 134 - 203b?\nAnswer: -1f07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 1 + 4)*(-2 + 0 + 3) + 3 - 6 + 1)*(2*w + 4*w - 4*w) to the form d*w + x and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = a. Let r(x) = -3*x - 2. Let k be r(-1). Suppose 0 = a*h - 71 - k. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**2 + 1353*h + 5460 = 0.\nAnswer: -4, 455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 10684400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.06, 1\/12, -313, 106?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 13353496*f**2 - 44578950502005*f - 89157954418002.\nAnswer: -(f - 6676749)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - -2.8. Let o = -40 - -41. Suppose 5*f = -11 + 1. Sort o, f, p in descending order.\nAnswer: p, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4498013480 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydtddtd. Give prob of sequence ydt.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 299 (b) -3\/5 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -366 + -22?\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = a - 12, -5*a - 3*v = -v + 5. Calculate the common denominator of 2\/a*2250\/(-40) and -87\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -35. Suppose 3*d = -v - 13. Which is smaller: d or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 0.2213 (b) 3 (c) 2\/9 (d) 0 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 11. Let p be -1*5*(-2)\/5. Let s(b) = 2057 - 1031 - 1028. What is p*f(t) - 11*s(t)?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9693 (base 16) in base 13?\nAnswer: 14712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128855 is divided by 67.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16931 - 7229. What are the prime factors of r?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14\/(-49) + (-522)\/(-14) is divided by (-1)\/((-2)\/26 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -3*m - 3*j, 1 = -5*j - 9. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.1 + -3. Suppose q + 3 = 5*u, -q + 2*u - 8 = -4*q. Let z = -0.1 - 0.4. What is the closest to -1\/3 in z, r, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.8 - -5.6. Which is greater: s or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 14, 10, 4, -4, -14?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*r - 26308 = 0, 2*u - 26296 = -52*r + 54*r. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-7)\/(-126)*-4). Suppose 180*g - 171*g = f. Factor -1\/5*y**3 + 1\/5*y - y**2 + g.\nAnswer: -(y - 1)*(y + 1)*(y + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from {u: 5, d: 3, n: 2, k: 8, t: 1, s: 1}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1647360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 608 = -3*t - 5407. Let w = t + 56149\/28. Which is smaller: w or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 take away -527019597?\nAnswer: 527019779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26013786 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 29 = -7. Let m be (-3)\/(d\/(-12)) - (-14 + 18). Suppose -2*l = 2, m = -0*v + 5*v + l - 54. Calculate the remainder when 120 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w**2 + 1 + w**3 + 1 + 0*w - 8*w. Let m be z(-8). Suppose m*r - 5 - 1 = 0. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000042797 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 164 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 9:31 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16 - -4)\/(-4) + 2\/2. Put -9, -2, n in increasing order.\nAnswer: -9, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 6.1, -3\/2, -3\/17, -2, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 - 2)\/1 + -3. Let b be y + (20\/(-5))\/(-1). Let i(p) = p**3 + b*p**2 + p + p**2 - 6*p - 3 - 3*p**2. Give i(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1801171?\nAnswer: 41, 197, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66418 and 6842?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a tonne?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19635*t + 2 - 16034*t - 2 - 3572*t**2 + 3567*t**2.\nAnswer: -5*t**2 - 35669*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 + 62 = -3*w. Solve 5 - w = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/13, -0.1, -0.22, 4 in ascending order.\nAnswer: -4\/13, -0.22, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68833 and 101139971?\nAnswer: 4049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 550549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/6 - 26\/(-6). Let r(v) = -18*v**2 + f + 12*v**2 - 5. Let q(o) = 3*o - 4. Let l(h) = h - 1. Let u(b) = 4*l(b) - q(b). What is u(r(i))?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d**3 - 7*d**2 + 6*d + 5. Let f(g) = -g**3 - 2*g**2 + 1. Determine 4*f(w) - n(w).\nAnswer: 2*w**3 - w**2 - 6*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99303 is divided by 23355.\nAnswer: 5883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 5. Suppose 0 = 4*g + 6 + 14. Let i = 8 + g. What is the remainder when m is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 9 + 3. Let r = 70 + -71. Let y be (-1 - (-3 + 6))*r\/2. Solve y*h = f - a, -5*f = -4*h - f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -4 (c) -0.3 (d) 3021 (e) 1\/2 (f) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/(45\/(-36))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**4\/12 + 4*y. Let x(n) = -8*n**2. What is j(x(w))?\nAnswer: -64*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275, 1639, 3921, 7121, 11239, 16275, 22229?\nAnswer: 29101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100040084.\nAnswer: 2, 25010021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/(36\/32*(-322)\/483).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 divided by 4?\nAnswer: -101\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6316 + 9572 = -369*a - 624*a for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 + 10*q + 8. Let a(c) = c**2 - 4*c - 3. Let o(g) = 10*a(g) + 4*w(g). Let b(d) = -4*d**2 - 1 + 0 - 2. Determine 3*b(u) + 5*o(u).\nAnswer: -2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -4 (c) -39 (d) -3.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*v**4 - 12*v**3 - 143*v**2.\nAnswer: 120*v - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1351*t + 1354*t + 41 - 76 + 35.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54766.\nAnswer: 2, 139, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 294 divided by 2\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w + 3. Let v be g(3). Let i = v + 63. Suppose 3*a = 3*n + i, 2*a = 5*a - n - 76. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 + -196. Let z = -138 - p. Let x(o) = o**3 + 14*o**2 + 13*o - 1. Give x(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 475443 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 4620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, q: 5}. Give prob of picking 1 t and 1 q.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97204 is divided by 493?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g - 3*g - 10*g + 36*g - 10*g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 83bb9b?\nAnswer: 83bb96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 3117 = 5*c + 2875, 3*a - 189 = 9*c - 13*c for c.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 707 + -358. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7\/28 - (-238)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - q + q)*(-1 - 1 + 3) - 3*q + 3*q + 2*q**2 + (-6 + 2 + 7)*(3*q + q - 5*q)*(-6*q + 10*q + q).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 262.0951ml?\nAnswer: 0.2620951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 20 = -4*a. Sort 4, a, -1.\nAnswer: a, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvw when three letters picked without replacement from {w: 5, e: 4, v: 4, m: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 13) in base 2?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18125 - -18121.6. Is k bigger than -264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, a: 5, c: 4, z: 4, q: 1, e: 3}. What is prob of picking 1 c, 1 q, and 2 a?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*d, d = 5*d - 16. Suppose 2*j - 5 + 2 = o, -4*o + 4*j - n = 0. Let k be (-1)\/o + (-3)\/21. Solve k = 4*m - 2*m + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50493 to the power of 1\/2, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**5\/60 - 41*h**2\/2 + h - 18. Let g(p) be the second derivative of i(p). Let w(d) = 5*d - 6*d + 17*d. Give g(w(m)).\nAnswer: -256*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150643 and 884953.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4730*x**2 + 4*x + 4. Let n(g) = -4*g**2 - g - 1. What is -4*n(v) - r(v)?\nAnswer: -4714*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 34\/3 + 2\/3. Let s be (3 - -1)*15\/z. Suppose -2*v = -8, -i + 3*i + 20 = s*v. Round i to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 167, 247, 325, 401?\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 4. Let y be d(6). Suppose -y*b + 11 = 7. Solve w - 1 = b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 6*w**2 - 3*w - 6. Let u = -7 + 10. Suppose 0 = u*l - 0*l - 12. Suppose 20 = l*b - 0. Determine r(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2 + (-26)\/(-4). Factor -2*m**3 - 3*m + m**3 - d*m**2 - 9*m - 8.\nAnswer: -(m + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -v + 2*x + 616, 0 = -v + 5*x + 595. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -36*m**4 + 4*m**3 - 4*m**2 + 29*m + 4. Let j(q) = -q**3 + q**2 - q - 1. Let i(a) = c(a) + 4*j(a). What is the second derivative of i(n) wrt n?\nAnswer: -432*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -231810752346177 - -0.3?\nAnswer: -231810752346176.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4741.1747 rounded to the nearest one hundred?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3)*(6*s + 2814 + 2823 - 5649).\nAnswer: -18*s + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13202320 (base 4) to base 12.\nAnswer: -15a74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*q**3 + 2*q**3 - 9*q + 6 + 9*q with respect to q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22644.0127 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -1484*m + 5519. Is i(-61) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162774943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14048 and 14569.\nAnswer: 204665312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4150 - (-28)\/21*(-2 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84249 or -2\/111?\nAnswer: -84249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-10))\/(5\/(-25)))\/((-4340)\/(-3472))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, n: 3}. Give prob of sequence een.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**2 + 3*d - 1. Let y(a) = a. Let i(l) = c(l) - 3*y(l). What is the remainder when 102 is divided by i(3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in 2\/11, 1.2, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -26 - (6\/(-8) - 2)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10357.\nAnswer: 10357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 3*a + 1. Let j = -3 - -5. Let t be r(j). Calculate the lowest common multiple of (t - 1)*42\/(-12) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3173, -13101, -29645, -52805, -82581?\nAnswer: -118973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/8, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -373817881176 and 0.03.\nAnswer: -373817881175.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6594 is divided by 42.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b**2 + 9*b**2 - 20*b**2 + 21*b**3.\nAnswer: 21*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3 + (sqrt(27) - sqrt(3)) + sqrt(3))*2.\nAnswer: 6*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + 2*c - 5 + 3*c + 5 + (2 - 2 + c)*(4 + 0 - 2) + c - 2*c + 2*c + c + 5*c - 5*c in the form z*c + g and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 241542 and 2646?\nAnswer: 1690794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -33. Calculate the remainder when u is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.32 + 0.319991. What is f rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8660457 to the power of 1\/2, to the nearest integer?\nAnswer: 2943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 27*x**3 - 3*x**3.\nAnswer: -30*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 7*c**2 + 5*c + 5. Suppose 4*m + 26 = 5*a, 0*m - 5 = -5*m. Determine p(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1. Suppose s + t = 4. Calculate the remainder when s is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 159 and 168990?\nAnswer: 8956470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11254*o**6 - 2*o**2 - 3*o + 1727 wrt o.\nAnswer: -1350480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 smaller than 1550\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 2696*s + 2700*s = 109 + 79, -5*y - 195 = 5*s for y.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*z + 2*w = -245*z + 11, 4*z + 11 = 3*w. Let y = 554 + -556.93. Let s = y + -0.07. What is the nearest to 1\/3 in s, z, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -288942289\/33 + 8754979. Let h = u + 848. Let j = 3 - 7. Put h, j, 5, 1 in descending order.\nAnswer: 5, 1, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72670 + 72551 + 0*b**2 + 2*b**2 - b**3 - 238*b**4 wrt b.\nAnswer: -5712*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)*1)\/((sqrt(3) - (sqrt(3) - sqrt(6)\/sqrt(2)))*3 - sqrt(3)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/((-825)\/(-60)))\/(4\/(-510)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-644)\/(-368)*(-2)\/(-14)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -6 - (-2 + 1 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a + 11. Let i = 2 - -3. Let j be k(i). Suppose -2*h = h - 9. Are j and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(((-27)\/(-3))\/3). Which is the third smallest value? (a) n (b) -2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 12, 176 in descending order.\nAnswer: 176, 12, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(-x**2 + 12*x**2 - 7*x**2)*(2*x + x - 2*x) + 2*x**3 + 3*x**3 + x**3.\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311 = 21*f - 130. Suppose q = -q - 28. Let p = f + q. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30000 (base 6) to base 9.\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -33\/140 (b) -0.81 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 22. Let m = -3 - f. What is the highest common factor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.348819 and 0.04.\nAnswer: -0.01395276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-7)\/1) + (-46)\/14\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/3 or -321943?\nAnswer: -321943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/(-10)*(4524\/130)\/(-29)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -179 less than 30640.096981?\nAnswer: 30819.096981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -23. Suppose -4*z - x + 21 = 0. What is the lowest common multiple of z and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*u = -3922. Let b = u + -1378. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 142101 times -0.1\nAnswer: -14210.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/13980 and 87\/2330.\nAnswer: 13980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -1.15 (c) -1\/62 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z = 62*z + 1760, -2*b + 65 = -4*z + 28 - 15 - 74 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 82151, 82143, 82135, 82127, 82119, 82111?\n\"Answer: -8*n + 82159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/6 + 2\/(-6). Suppose 0 = 4*a - 4*i - 24, 3*i = 4*a - j*i - 28. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000232938519 to 5 dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from qqppqppqppppqppppq?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 134 = 6*d, 2*d - 162 = -118 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3826 + 10*s + 3829 - 7649.\nAnswer: 10*s + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-1)*(-255)\/34. Let d = -48 - p. Let l = 6 + d. Sort -2, l, -5 in ascending order.\nAnswer: -5, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 10 + 64 = 0. Let q = g + -16. Suppose 57 - 209 = -q*w. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -31?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11980789595.418 - -11913288970.217731. Let c = k + 67500586. Let g = c - -39.2. What is g rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 1200*u + 7193. Calculate j(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 3)*(-4*t + 6*t + 2*t) + 0*t + 2*t - t + (t + 4*t - 4*t)*(-405 + 37 + 80).\nAnswer: -291*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(11)*-3 + sqrt(11))**2 + 3 + sqrt(539).\nAnswer: 7*sqrt(11) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 10. Let t be m(-14). Let l be 26\/t - (-15)\/(-10). Suppose -l*w = 11 - 51. Calculate the highest common divisor of 12 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51796 and 1748?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144.15*3.23.\nAnswer: 465.6045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c + 4. Let v(r) = r**3 + 19*r**2 - 19*r + 16. Let w be v(-20). What is f(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3104237552?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-14) - (-104)\/(-2730)*-19. Let r = -2.99 + -0.01. Let v = -3 - r. What is the smallest value in v, 2\/9, w, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, o: 1, s: 3, c: 10}. What is prob of sequence gc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2475*h**6 - 494*h**2 - 5*h.\nAnswer: 297000*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4111 is divided by 344?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 8 = 5*c + x, -19 = c - 2*x. Let l(p) = -2 + p**3 - p**2 + 12*p**2 - 14 - 13*p. Is l(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 4. Suppose 0 = h*g + 1 - 29. Suppose -2*u + 18 = -5*y, -u - 2*u - 2*y + 8 = 0. What is the remainder when g is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 690*p - 687*p = -0 - 1, 0 = -11*y - p + 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3994 + 7858. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(10\/(-8))*44\/264?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283416 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/8 - 79684881*o - 4233120173322774.\nAnswer: -3*(o + 106246508)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12194128 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*sqrt(550))\/(sqrt(44)\/sqrt(4)*-5).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243760 is divided by 3876.\nAnswer: 3448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**5 - 578*n**4 + 8523332*n**3 + 1207689092*n**2 - 9174483825858*n + 64159287934014 = 0.\nAnswer: -1539, 7, 1391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 12:14 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2896*j**3 - 57512 + 1399*j**3 + 57512.\nAnswer: 4295*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -127106 - 11?\nAnswer: -127117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z = -5*s - 5*z + 60, -5*s - z = -35 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - 9*-279) + 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 6*m**2 - 1187*m - 1942*m.\nAnswer: -3*m*(m + 1043)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29482 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 10*a + 13. Let o be w(10). Let v be 1\/(-3 + 4) + o + -1. Suppose 0 = 4*g - 14 + 2. Solve -k - 1 = 3*n, -g*n = -5*k - 0*n + v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002251802611 rounded to 6 decimal places?\nAnswer: 0.000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 18. Let o be 128\/s - 7\/21. Suppose -3*r - 5*t - o = -4*r, 3*t - 77 = -5*r. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 1, 14, 43, 94, 173, 286?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -52, -43, 64, 317, 764?\n\"Answer: 8*q**3 + q**2 - 50*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i. Let f(p) = 4*p + 14. Let x = -42 + 43. Let n(w) = x*f(w) - 5*y(w). Is 8 a factor of n(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Total of -257 and 2987.\nAnswer: 2730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1278 + -1210. What is the remainder when 330 is divided by c?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -8*b + 207. Does 10 divide (-40)\/b*(-14 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01287228236 to 4 dps.\nAnswer: -0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4 + 11 - 12 - 3*h - 8. List the prime factors of i(-13).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - q + 2. Let v be s(-3). Let g be 1*((-4)\/v - 24). Let m = g - -23. Solve m = -3*w - 3*n - 0 + 3, 0 = 5*w - 2*n - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2151*v + 40848. Give i(-19).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 - -56. Let x = t - -27. Suppose -4*d + 432 = -x*w, -d + 3*w = -2*d + 96. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l = 72*l + 344 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2 - 8. Suppose 0 = -8*i + k*i + 65. Let v = 21 - i. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 120*o**2 - 120*o**2 - 12 - 6*o**3 wrt o?\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -7\/2*y**2 - 2 + 7\/6*y**3 + 11*y - 7\/12*y**4 + 1\/4*y**5. Let f(x) = -2*x**3 + 4*x**2 - 4*x + 4. Calculate 7*f(w) + 4*o(w).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -32, 119, 270, 421?\n\"Answer: 151*t - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15174612071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-three fifths of a centimeter?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2941*l**3 - 2954*l**3 + 11891*l**3 - 2940*l**3 - 2997*l**3.\nAnswer: 59*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -56*f**2 + 595*f - 9. Calculate the lowest common multiple of 132 and s(10).\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 - 72*d**2 - 137*d - 28. Calculate w(-34).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8780 - -1?\nAnswer: 8781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 36 = 2*a, 7*a = 3*a - 2*h + 24. Suppose 3*l = -c - 2*c + 42, -2*c = -4*l - 4. Let g = c + -5. What is the remainder when a is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and -13018 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6023449*g**4 + 2362425*g wrt g.\nAnswer: 72281388*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 133 + -51. Let y = v + -77. Suppose -426 = -y*x + 524. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2*q**(7\/2)\/q*q*(q*q*q*q*q**1)\/(q*q**(-3)\/q))**35 assuming q is positive.\nAnswer: q**(945\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 5 + 3)*(2*s + 4*s - 5*s) - 2*s - s + 0*s)*(0*s**3 + 3*s**3 - s**3) + 9*s - 19*s**4 - 9*s.\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((805\/(-28))\/(-23)*14\/70)\/((-3)\/36)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -133700*g**3 + 2101*g**2 - 2101*g. Let v(r) = 382*r**3 - 6*r**2 + 6*r. Determine -6*u(n) - 2101*v(n).\nAnswer: -382*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2328189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -15.876 times -0.3\nAnswer: 4.7628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17437 * 2\nAnswer: -34874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmlccccvbcmtm. What is prob of sequence mmlm?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2412*l + 1854. What are the prime factors of r(-8)?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 1. Let m(r) = -5*r**2 - 7*r - 31. What is m(a) - 6*n(a)?\nAnswer: a**2 - 7*a - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -146 + 20. Let l(v) = 15*v**2 - 4*v + 3. Let n be l(3). What is the greatest common factor of z and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.837 + -0.637. Let z = 0.5 - 2.5. Let i = 4 + z. Sort w, -1, i.\nAnswer: -1, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**4 - 655*i**3 + 52725*i**2 + 6577495*i + 150360680 = 0. What is i?\nAnswer: -152, -43, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -57240*o. Let s(q) = -1755*q**2. Calculate s(h(p)).\nAnswer: -5750112888000*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 5*i + 5 = -3*u, u - 2*i + 5 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*g**5\/11 - 384*g**4 + 51578*g**3\/11 + 141098*g**2\/11 + 42656*g\/11 + 312 = 0 for g.\nAnswer: -2, -1\/6, 22, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**5 - b**3 + 20579765*b**2 - 2*b + 240347712 wrt b.\nAnswer: -20*b**3 - 6*b + 41159530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 602 + -441. Calculate the highest common divisor of 35 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/30 + 5\/(-75)*-58. Suppose -9*m + 1 - 172 = 0. Let a = -22 - m. Put a, 1, -4, q in decreasing order.\nAnswer: q, 1, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {n: 1, c: 3, z: 1, s: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 558 - 654. Suppose 0 = -4*b + 4*q - 408, b - q + 202 = -b. Let h = n - b. Solve -11 = -r + 2*z + 2*z, 5*z = -h*r - 40 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57547975 to the power of 1\/2, to the nearest integer?\nAnswer: 7586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476*w - 3708 = 567*w - 297*w for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*l - l. Suppose 3*s = s - 2, l*z = 2*s - 348. What is z rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 1:53 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53187426*v**3 - 17897276*v.\nAnswer: 319124556*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 4\/5 (c) -6 (d) 0.45 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/33)\/(3*2\/11).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 7503153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 1, -1266 in descending order.\nAnswer: 1, -0.02, -1266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1 = 1. Let g be 2 + b + (1 - 3). Let m = -4 + 7. Solve -m = t - g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 3:33 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(704) + -4 + -4.\nAnswer: -6 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -3. Let p = -0.04778 + 0.54778. What is the nearest to -0.5 in i, -2\/9, p?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 40 (b) 2\/5 (c) 1\/2 (d) -1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6ca - 12d?\nAnswer: -819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.454 and 2.5.\nAnswer: -13.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1180 and 82780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, -11.8, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*v - 6502 - 3610 = 7585 for v.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/(-55))\/(15022\/38628).\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 51 - 43 - (-3 + 5 + 13)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -407, -436, -465, -494?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 7 - 5. Calculate the lowest common multiple of 15 and 75\/u*(9 + (-117)\/15).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*y + 504 = 62*y. Suppose 0 = 15*n - 23*n + y. Solve -4*i = 19 - n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2566.72 and 750.\nAnswer: -1925040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/6*(6600\/(-22))\/25*10.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 380\/248 - (0 - 6\/(-4)). Is g at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28274)\/1340 + (1 - 18\/20)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 5:52 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -31*r + 306. Calculate the remainder when i(7) is divided by (-6 + 3)\/3 + 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 99091371?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7 - 4 + w**2 - 4 - 73*w**3 - 2*w + 2 + 78*w**3. Suppose 0 = 3*v - 9 - 0. Suppose -l - 2 = -v. Give o(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 41 - (5 - 13384\/(-2226)).\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**2*g**3 + 7*b**2 - 5*g**3 + 2*g**2 wrt b.\nAnswer: -4*b*g**3 + 14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.9 (b) 1\/1595 (c) 338\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 3*n + 0*n)*(-3 - 2 + 6)*(3 - 2 + 0).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - u - 2. Let r be d(2). Suppose -w + 13 + 9 = r. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*g**5 - 4*g**3 - 189*g.\nAnswer: -100*g**3 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 93 + 18. Let v = 25 + i. Calculate the smallest common multiple of v and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 9*n**2 - 2*n. Let d be m(-6). Let c be ((-5)\/3)\/((-7)\/d). Suppose 12*l = 16*l - c. Calculate the greatest common divisor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 + -9 - -77) + 8 + -27 + 9 + 1\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -130.34467 + 130.92. Let i = -354 - -353.427. Let h = i + c. What is h rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i = 4*t - 480, 0 = -3*t - 15. Calculate the highest common divisor of 40 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125.1 - 25\nAnswer: -150.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 174617 - 346?\nAnswer: 174251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -134, -459, -1158, -2417, -4422?\n\"Answer: -31*n**3 - n**2 - 105*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -12*u**2 + 1. Let i be j(-1). Let p be (18\/(-10))\/((-15)\/50). Let v = i + p. Let z(m) = -m + 4. Let r(y) = 2*y - 7. Determine v*z(t) - 3*r(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agg when three letters picked without replacement from gggakgagkgkhk.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-4 + (5 - -7) + -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -25*m**4\/24 - 2*m**3\/3 + m**2. Suppose -3*l - 149 + 146 = 2*i, -13 = 5*i + 2*l. Is u(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1670733 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 - -0.19. Let o = -3 + 4. What is the nearest to 2\/7 in o, 2\/5, v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33923 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 13, c: 6}. What is prob of sequence wwc?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152314 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 102276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**2 - 3352*c + 197562 = 0.\nAnswer: -1733, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 2*r**2 + r + 2. Let v = 183 + -187. Let j be p(v). Calculate the greatest common factor of j and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 275 and 55495?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2964471294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 5*a - 7. Let u(c) be the first derivative of -c**2\/2 + c - 2. Let k(g) = -6*u(g) - v(g). What is k(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5. Let l(r) = -30*r + 15. Calculate 2*l(h) - 4*s(h).\nAnswer: -60*h + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxcxxcckxtekkxxxtxec. Give prob of picking 1 t and 1 l.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 0.03 (b) -28.3 (c) -4 (d) 0.1 (e) -0.1 (f) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -303890.87 to the nearest 1000.\nAnswer: -304000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.1+-0.205003433383\nAnswer: 0.894996566617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 213 - 111. Let n = -12.1056 - -114.0146. Let j = n - o. Round j to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37564, 75129, 112694, 150259, 187824, 225389?\nAnswer: 262954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 3*n + 12. Let a be d(5). Suppose 0*m - a*m + k - 63 = 0, 0 = m + k + 39. Let p be (m\/3)\/(6\/9). What is p rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8417004 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 618545351 to the power of 1\/2, to the nearest integer?\nAnswer: 24871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(((u**(-17)\/u*u)\/u)\/u)\/u)\/(u*u**(2\/9)))\/(u**(-5\/6)\/u**0) assuming u is positive.\nAnswer: u**(-349\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-2) + -2)*18\/15. Suppose -x + 537 = -n*m, -m = m + 2. Let b = x - 319. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q - 5. Let r(d) = 2*d + 3. Let f(v) = -3*p(v) - 5*r(v). List the prime factors of f(7).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -23. Let z(h) = -h**3 + 10*h**2 - 16*h. Let j be z(s). Let a = 424\/5 - 84. Is j at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 673521041 to the power of 1\/2, to the nearest integer?\nAnswer: 25952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1426 + 1329 = 5*m. Suppose -4*l - 5*w = -66, 4*l + w = -441 + 515. Calculate the highest common divisor of l and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8\/3 (b) 2 (c) 9\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d8 (base 14) in base 9?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 times -2.058?\nAnswer: -98.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*k + 1 = 17, 0 = 3*k - 9. Suppose -w - n*w = -20. Solve 0 = -w*c - 0*c + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16401050 and 662.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 6109695975*j - 5 + 6109695974*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k = 12549 + 400084 + 113837. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -4*b - 12, -2*b = -2*q - 412 + 422 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 18*a - 25*a - a + 2*a**3 + 38*a.\nAnswer: 2*a**3 + 30*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000292968 to 5 dps.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2055*z - 1091*z + 140755 = 2034*z + 513715 for z.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-30))\/((-4)\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 62682 = -5*o - 62687, -4*c = -4*o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 684921 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 878, 3533, 7958, 14153?\nAnswer: 22118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = m + 2*m. Let q be m*4\/(-390)*3. What is the nearest to -0.4 in q, -3, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3415 + -3392 + (-1 - -7).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k**3 - 4*k**3 + k**3)*(-4*k + 2*k + 3*k) - 10 + 5*k**4 + 10 in the form i*k**4 + h + y*k**3 + f*k**2 + p*k and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8395, 9412, 11121, 13534, 16663, 20520, 25117?\nAnswer: 30466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2530 and 164930?\nAnswer: 41727290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (12\/(-16))\/(4\/(-304))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a = -12*a - 1. Let k be 8\/(a*(-2)\/2*2). Solve 4*o + 5 = 5*b, 4*o = -b - 3*b + k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -416 equal to -651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 120305 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - (13 - 25) - 6\/1. Solve 6 = v*h - 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -110121001?\nAnswer: -110121002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.4 (b) 9 (c) -19 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 403172019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 9 + 14 + 11*r)*(-21 + 9 - 8).\nAnswer: -220*r - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -12, -60, -160, -330?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6275029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*o**2*t**3 - 6*o**2*t**2 + 6*o**2*t - o**2 - 235*o*t**3 - 282*o*t + 24*o - t wrt t.\nAnswer: 36*o**2*t - 12*o**2 - 1410*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 21 (b) 0.5 (c) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2092, -6967, -15052, -26341, -40828, -58507, -79372, -103417?\n\"Answer: t**3 - 1611*t**2 - 49*t - 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35488 + -141953\/4. Suppose 5*o - 16 = -6. Let j(w) = -2*w. Let f be j(o). Which is the biggest value? (a) q (b) f (c) 0.11 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 346495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 9 + 7 + -12 + -10\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -10. Let r = 4.446 - 14.446. Is r greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from {p: 5, n: 13}?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16 + -0.19. Let z = y + 0.25. Which is smaller: -5\/4 or z?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -10. Let q = -9 + h. What is the remainder when 25 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-7))**(-19) assuming c is positive.\nAnswer: c**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuhuhuuu. What is prob of sequence uuuu?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 127033, 254068, 381103?\n\"Answer: 127035*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v**2 + 3*v**2 + 9*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-819)\/(-108))*(-28)\/(-16)*-10?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1652.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2431, -4848, -7263, -9676, -12087?\n\"Answer: w**2 - 2420*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14255969\/262 + -54412. What is the common denominator of 95\/4 and j?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 2*k**3 + k**3 + 1572 - 1573. Calculate v(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -2. Let l(o) = -5*o**2 + 14*o - 11. Let d(g) be the first derivative of g**3 - 9*g**2\/2 + 7*g - 179. Determine f*l(h) + 8*d(h).\nAnswer: -h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38616 - -87224. Is x a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1257*n - 1284*n + 32 = -454 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 603505733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265 + 142*v - 259 - 130*v.\nAnswer: 12*v + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (329\/4136)\/((-77)\/(-44))*-24?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from aaaauajajyzjzjyuazaz?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*q + 2*k, -5*k - 30 = 2*q - 3. Is q at least 1\/582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (118\/(-80) - 96\/240) + (-1)\/8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*v + 203729 - 199745 = -29*v for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - f = 2*f + 6, -8 = 4*f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12694*b + 25298*b - 12860*b + 47*b**2 wrt b?\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 + 3 = 0. Suppose 0*d = o*d - 5*x - 156, 2*d + 4*x = 174. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6075 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44251 and 1938?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12*((-6)\/(-3))\/(-6). Let s(i) = -32*i**3 - 5*i**2 + 3. Let v(u) = -u**3. Let j(k) = w*v(k) + s(k). Find the third derivative of j(o) wrt o.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9714 - 9713.5. Which is the closest to -2? (a) 4 (b) -35.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2032 is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3.8931?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102 or 105?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/44 and -29\/32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872)*-3*-2.\nAnswer: 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 - 1. Let b(f) = 19*f**3 - f. Calculate -b(j) - p(j).\nAnswer: -17*j**3 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 - 82*f**2 - 961*f - 2745. Calculate r(-15).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*t + 2973*t**2 + 83*t - 51*t - 537*t**2.\nAnswer: 2436*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 2*x**2 + 3*x + 44. Let o be w(0). Which is greater: 45 or o?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 6753372\nAnswer: 1\/2251124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 4. Suppose -3*d - 9 = -4*r - r, -4*r + 12 = 0. Let i be (-3)\/(d\/(8\/3)). Let l be q(i). Round l to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232 and 9425.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -436.3 + 406. Let z = m - -30. Which is the second biggest value? (a) 2\/3 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -675.9 and -3.\nAnswer: -678.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/1*8\/24. Put -13, 1, g in ascending order.\nAnswer: -13, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/15)\/(((-26332)\/45820)\/(-227))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.03, 1, 1\/3, -16\/59, -10119?\nAnswer: -16\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4902 and 258.\nAnswer: 4902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/q**(-19)*(q*q*q**(-19))\/q*q assuming q is positive.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**4 + 2*u**3 + 3*u + 2. Let o(w) = -4312*w**4 + 6*w**3 - 9010*w + 6. Let f(q) = -3*c(q) + o(q). What is the second derivative of f(x) wrt x?\nAnswer: -51708*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -11656*i**3 + 10*i - 5. Let n(w) = -431273*w**3 + 368*w - 184. Calculate 5*n(c) - 184*x(c).\nAnswer: -11661*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/(-30))\/((-7)\/3 + 3). Let b = 10.9828 + 0.0172. What is the third smallest value in b, c, -1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06831322 to three dps.\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 29 = 5*p - 3*c, -5*p = -4*c - 33. Solve 5*g + 0 - p = 2*w, 0 = -w - 5*g + 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*y - 31696*a + 2*y - 65026 wrt a.\nAnswer: y - 31696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1493*j**3 - 134*j - 701*j**3 - 700*j**3 - 93*j**3.\nAnswer: -j**3 - 134*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -2559?\nAnswer: -2559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 319 and 3.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1356049?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 49*i**4\/2 - 721*i**3\/2 - 993*i**2\/2 - 239*i\/2 - 8 = 0.\nAnswer: -1, -1\/7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 7 = -9. Suppose -6 = s - 4. Sort s, 1, v in descending order.\nAnswer: 1, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 266.93505883.\nAnswer: -267.43505883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 568100\/9500 - (14\/(-28) + 1\/10*-7).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 35 = -2*p, a + 3*p - 8 = 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -17*p**5\/10 - 7*p**4\/12 + p**3\/2 - p**2 + 42. Find the second derivative of n(g) wrt g.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15, -2, -4, -125, 3 in decreasing order.\nAnswer: 3, 0, -2, -4, -15, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w + 42. Suppose -19 = 4*j + 4*g + w, -2*j - 10 = 4*g. What is the units digit of (32\/(-12) - -2)*j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -4, -5, 4, -6281?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47.39 - -47. What is f rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180, 342, 516, 708, 924, 1170?\nAnswer: 1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.685758 rounded to one dp?\nAnswer: 38.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*b + 128 = -463*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-6))\/(3\/9). Let a = 104085 + -104079. Suppose 0 = 3*n - 0 - 3. Put a, m, n in descending order.\nAnswer: a, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 3:55 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*f = 120*f + 11996. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(128)*2 - (sqrt(64)\/sqrt(4) + sqrt(16))\/sqrt(2))\/((sqrt(100) - (sqrt(100) + (sqrt(100)*1 + sqrt(100))*-4))*5))**2.\nAnswer: 9\/2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 9:23 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 218587 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is a110a1 (base 12) in base 14?\nAnswer: 4950a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2496149.046812 - -2496185. Let k = z - 8.9531921. Let d = k + -27. What is d rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 261987395*p*w - 235055372*p wrt w.\nAnswer: 261987395*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6688, -6683, -6674, -6661, -6644?\n\"Answer: 2*z**2 - z - 6689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 95686.7 kilograms?\nAnswer: 95686700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38713431643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.83? (a) 13.76 (b) -2\/19 (c) 0.5 (d) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 887 = 94*l - 429. Which is the closest to -0.3? (a) 4 (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**6\/6 - i**5\/4 + 5*i**4\/12 + 5*i**3\/6 + 168*i + 70. Let o(r) be the first derivative of f(r). Factor o(k).\nAnswer: -5*k*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/4)\/(8\/80). Suppose b*i - 4*p = -4 + 34, 2*p = -5*i. Let f be ((-8)\/4)\/((-4)\/6). Sort i, -2, f in ascending order.\nAnswer: -2, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 3*s = 1702 - 1837, -s - 105 = -5*d for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-19) + (49 - 49 - -2)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaxn when four letters picked without replacement from {q: 3, x: 1, j: 3, a: 1, n: 3}?\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/9*6\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1020 divided by -5.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c**2. Let y(x) = 85333667*x. Give z(y(f)).\nAnswer: -29127338894667556*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -11 - (15 + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - m - 3*m - 4*m + 2*m + m + (3 - 5 + 3)*(-2*m + 2 - 2) - m + 1 - 1)*(56*m**2 + 36*m**2 - 65*m**2).\nAnswer: -135*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*r - 3*l - 0*l, 5*l - 20 = -4*r. Let c = 18 + -15. Suppose 0 = r*f - 3*y - 103, 6 = 4*f - c*y - 77. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from seefcds. Give prob of sequence ced.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 44. What is the closest to -0.2 in 11, 2\/9, i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/13 + (-2256)\/(-208). Calculate the highest common divisor of 66 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158, -315, -472?\nAnswer: -629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 30649*j - 735882. What is n(24)?\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -5, 2\/547, -4?\nAnswer: 2\/547","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -8*z - 3. Let i = 53 - 54. Let y(r) = r + 1. Give i*d(o) - 3*y(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.1? (a) 6 (b) -2\/7 (c) 1 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48340 and 7451611.\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42607 and 411.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 2:11 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/11101?\nAnswer: 1\/11101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -144?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(b**2 + 2 - 2) - 11*b + 11*b - 17*b**2 + b**2 + 3 - 3 + (-3 + 3 - b)*(b + 2*b - b) + 2*b**2 - 5 + 5 + 2*b**2 + 2*b - 2*b.\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**5 + 24*b**4 + 84*b**3 + 88*b**2 + 30*b = 0?\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4 = -5*l. Let t be l - 3 - -4 - -14. Suppose 3*y - 1 = 11. Solve -y*p = t - 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 bbswwbswxgs. What is prob of picking 1 x and 1 s?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 192*i**4 - i - 191*i**4 - 43 + 3*i**3 - 2*i**3 as b*i**3 + f*i + a*i**2 + q*i**4 + o and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 23*z - 58. Let p be f(20). Suppose -12 = 5*g + 2*n, 0 = 4*n - p - 14. Which is the smallest value? (a) 0.81 (b) -2 (c) g (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527416311.\nAnswer: 3, 193, 910909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/9805 - 970663\/156880. Let s = -2507 + 50117\/20. Calculate the common denominator of c and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.1283.\nAnswer: 0.03849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -26425495, -26425493, -26425491, -26425489?\n\"Answer: 2*j - 26425497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390 divided by -10393.\nAnswer: 390\/10393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 42 = 2*o, 4*o + o + 81 = -4*q. Let a be o\/6 + 1\/6. Let f be (-1)\/a - (-22)\/4. Solve -k = -f*k + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.77 - -1.17. What is the biggest value in -2, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 33. Solve d*p = 3*p - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10111?\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9867980 + -5067266. Let c = -2000714 + u. Round c to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - j + 15 = -b, 0 = 2*b - j + 1. Solve 12 = b*k - 2*o, -5*k + o = 6*o + 20 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 3, -11.\nAnswer: -11, 3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 700 and 3700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.8611 + -0.1389. Which is the closest to 39? (a) 4 (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52.76695202555 + -0.5.\nAnswer: -53.26695202555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(1664) + sqrt(1664) + sqrt(1664))*-6)\/(sqrt(16)\/sqrt(968) - sqrt(242)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1113014 - l + 1113014.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170 less than 1170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (126\/(-20))\/7*445\/267. Which is the nearest to 2? (a) i (b) 3\/8 (c) -3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 208204294277?\nAnswer: 208204294273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**3 - x**2 - x - 1. Let v be (1 - 0)*(-1 - 0). Let q be t(v). Calculate the highest common divisor of q and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5688234 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/1170 and -53\/55890.\nAnswer: 726570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10171 - -111893\/11. Sort -5, 1, 4, q, 0.3 in ascending order.\nAnswer: -5, 0.3, 1, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201008.\nAnswer: 2, 17, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (25\/(-10))\/(1\/(-2)). Suppose 0 = 4*w - z - 16, 3*w - 18 = -d*z + 17. Solve -2*s + 2*i - 10 = 0, 3*i - 2 + 3 = -w*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*a**3*h*i**2 + a**3*h*i + 3*a**3*h + 5*a**3*i**2 - 4*a**2*h*i wrt i.\nAnswer: 72*a**3*h + 10*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iifiif. Give prob of sequence fif.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3384 + -3381. What is the biggest value in 0.02, 1, -0.13, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*j - 4*g, 15*j - 17*j - 3*g = 12. Let v(c) = c**3 - 2*c**2 - c + 9. Give v(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.70181nm in micrometers?\nAnswer: 0.04870181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w**2 + w**2 + 2*w + w**2)*((-2 + 4 - 5)*(1 - w - 1) + 8*w + 3*w - w) to the form n*w + r*w**3 + m*w**2 + a and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -630606*a**2 + 12*a + 1841401?\nAnswer: -1261212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = -391*p + 392*p. List the prime factors of p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -76, -87, -114, -163, -240, -351, -502?\n\"Answer: -v**3 - 2*v**2 + 2*v - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -3*w**5\/20 - w**4\/12 + w**3\/3 + w**2 + w. Let c be i(-1). Let 7*k + 0*k + 3*k**c + 3 - 13*k = 0. What is k?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + 158*l. Let k(p) = -p**2 + 49*p - 1. Calculate -d(v) + k(v).\nAnswer: v**2 - 109*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.07 and 14.221077769.\nAnswer: 14.151077769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (34*h + 63*h - 11*h)*(3 - 7 + 2 + (-1 - 1 + 3)*(3 - 3 - 2)) in the form k + q*h and give q.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 + -105. Let s = b + 50.00184. What is s rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 477 and 1287.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*m**3*u**5 + 5*m**3*u**2 - 1064*m*u - 304909*u**6 + u**2 + 211 wrt u?\nAnswer: -300*m**3*u**2 - 36589080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/1 + (-14 - -18). Let r be (4 - 2) + -5*s\/10. Which is the second smallest value? (a) 0.2 (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/4 and -96785774 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 2321?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2276 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.43 and -1.1.\nAnswer: -10.373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**3 - 56*t**3 + 6*t**3.\nAnswer: -61*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100010011 - 110011001001001?\nAnswer: -110101101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6829.\nAnswer: 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 12*a. Calculate l(-20).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -37, -75, -115, -157?\n\"Answer: -h**2 - 35*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 - 2*a + 2. Determine r(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 6:07 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3.27, -18 in decreasing order.\nAnswer: 3.27, -0.1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19813*c**3 - 7488*c**2 wrt c?\nAnswer: 118878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 867015.7 milligrams to nanograms.\nAnswer: 867015700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1)*((-14)\/(-4) + 1287\/(-198))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-4))\/((-3486)\/166)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66901132?\nAnswer: 2, 661, 25303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + 1 + (-4 - 0) - -706. Calculate the greatest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.57 + -0.07. Let r = 1\/71 + -78\/497. What is the fourth biggest value in 3, l, r, 2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 6 + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**3 + w**2 + w + 1. Let k(g) = -4*g**3 + 2*g**2 + 2*g + 1. Let y(d) = -3*h(d) + 2*k(d). Determine y(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33.26 - 1.26. Let g = -60 + l. Put g, 1, -2 in descending order.\nAnswer: 1, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427963008?\nAnswer: 2, 3, 11, 71, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15638 + 15643. Solve 5*w + 5*x - 20 = 0, -x + 7 = -h*w + 15 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 21*v**2 + 22*v - 192. Is b(7) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**2 + 0*z + 0 + 1\/24*z**4 + 2\/3*z**3. Calculate f(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 767?\nAnswer: 2\/767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019455864237 to 5 decimal places.\nAnswer: 0.00195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8824? (a) -26 (b) 0 (c) 3 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2716400 rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2087 divide 22693932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -16. Let g(f) = f**3 - 9*f**2 + 10*f + 4. Let l be g(8). Suppose 2*j - l - 18 = 0. Calculate the remainder when j is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 72 (b) -2\/15 (c) -9 (d) -0.1 (e) 0.06 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-22109.8621\nAnswer: 8843.94484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21238296 by 2.\nAnswer: -10619148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0068 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19035220*c**2 - 2251573?\nAnswer: 38070440*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a**2*t**3 - a**2*t - 208*a**2 + 6*a*t**3 - 10*a*t + 4*a + t**2 wrt a.\nAnswer: 8*t**3 - 2*t - 416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4 - 3 - 1 + 2*c. Let u(y) = -7*y - 5. Let t(b) = 7*b + 6. Let h(k) = 5*t(k) + 6*u(k). Give w(h(d)).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.18 - -7.82. Let g = i + -5. Let r = -0.8 + -0.2. Put r, -0.3, g in decreasing order.\nAnswer: g, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffl when four letters picked without replacement from oloofolffff?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 2657*d**2 - 1 - 2656*d**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f - 62. Determine l(25).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 1, 1\/5, -1363, 1\/2, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whwwwhdwdd. What is prob of sequence hhd?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5552 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 715617341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 1, -3, -5, 14, -1 in decreasing order.\nAnswer: 14, 1, -1, -3, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) 3\/11 (c) -0.1 (d) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8528, 8532, 8526, 8498, 8436, 8328, 8162, 7926?\n\"Answer: -2*f**3 + 7*f**2 - 3*f + 8526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 12*c + 12*c + 9*c - 4*c - 33*c. Let i(n) = 290*n. Calculate i(b(v)).\nAnswer: -1160*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = 7*y - 196. Is y\/6*(-837)\/(-31) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 130063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-1)\/(-39)))\/(5997\/7996)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 148\/(-28) - 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 1a5?\nAnswer: 1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 0.13, -1\/5, -1.1, 4, 1\/3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*j + 5*x = -51*j + 26, -2*x - 3946 = -659*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2145404 is divided by 715101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 4*d. Let k be h(-5). Let a(r) = -r**2 - 9*r - 5. Give a(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 11*f - 11. Let h(s) = 2*s + 2. Suppose 0 = -r + 3 - 1. Suppose 4*m + 2*a - 48 = 0, -3*a + 0*a = m - 17. Give m*h(d) + r*u(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 0 + 32 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -28 - 9 - (-51 + -3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10973 + -10888. Calculate the highest common factor of 697 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 950500745 to the power of 1\/3, to the nearest integer?\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -302, -609, -906, -1187, -1446, -1677, -1874, -2031?\nAnswer: -2142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*3*(sqrt(448) - (2*sqrt(448) + sqrt(448) + sqrt(448) + sqrt(448) + 5)))**2.\nAnswer: 2880*sqrt(7) + 64735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2089*l**3 + 4*l - 2042*l**3 - 5*l + 4 to the form f*l**2 + u + s*l**3 + n*l and give s.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 122*z**2 - 647*z - 3833. Is 111 a factor of b(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -m - 14, -5*u + 4*m - m + 70 = 0. Let w be (-82)\/7 - 4\/u. Let o = w - -18. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 7:10 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 8. Let d be k(6). Let g = 210 - 211. What is the nearest to -1\/2 in g, 1\/4, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3436*h - 9. Let z(r) = 859*r + 2. Determine -4*q(m) - 18*z(m).\nAnswer: -1718*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1487895 and 12?\nAnswer: 5951580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 369 and 1601829?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18437, 17314, 16203, 15104, 14017, 12942, 11879?\n\"Answer: 6*a**2 - 1141*a + 19572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-1\/3))*s*s)\/(s*s*s\/(s**(-4)\/s)*s))\/((s*s*s*s*s**(-1\/6)*s)\/(s\/(s**(5\/3)\/s))) assuming s is positive.\nAnswer: s**(-71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2759784811 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-75)\/(-20) + -4)*8\/(-11). Which is bigger: -0.24 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26203 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 5*o - 722, -2*q = -7*q - 5*o + 925. Let c = 305 - q. Is 31 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -309 - -320. Solve 32*r = -o + 35*r - 8, -5*o + w = 2*r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from uyuquzzyznugzq.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in -7, -6\/7, -46, -9, 4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8322 and 213598.\nAnswer: 640794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*v + 6*v**2 - 11*v + (15*v**2 - 7*v**2 + 11*v**2)*(2 + 0 + 0) + 5*v**2 + 19*v**2 + 5*v**2.\nAnswer: 73*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 22\/665?\nAnswer: 22\/665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*1*sqrt(17).\nAnswer: -3 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 363\/484 - 11\/66*15\/2. Let r be (312\/153 + -2)*-3. Which is the fourth biggest value? (a) -2 (b) -11 (c) w (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 7 = -18. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 768\/3584 + 166\/(-252)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/((-408)\/90))\/(15\/(-40)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54830938.\nAnswer: 2, 29, 53, 17837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1140)\/456*(-4)\/(1*-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 - 4)*(61*k - 8*k + 7*k + 47*k) as z + a*k and give a.\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 8) in base 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 2*t, 0 = 4*l + 15*t - 80. Solve -l*q - 147 + 102 = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-138)\/161)\/((-3)\/77).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48579006*-0.3.\nAnswer: 14573701.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23650 - -23651. What is the second biggest value in o, 2\/9157, -2?\nAnswer: 2\/9157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -3046, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*i - 113 + 113)*(2*i + 0 + 1 + 2).\nAnswer: 92*i**2 + 138*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-four fifths of a micrometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 3*x - 3*x + 3 as c + u*x and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 2 - (2 + 3 + -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*6\/21 + 148\/28?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1 = -0*d + z, d - 12 = -2*z. Solve -n + 3*n + d = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/5)*p*p*p*p**4*(p**2)**(18\/7) assuming p is positive.\nAnswer: p**(418\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 - 2*j**3 + 5*j**3 + (-2*j**2 - 4*j + 4*j)*(0*j + j + 2*j) as y*j + u*j**3 + m + k*j**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -25314813 greater than -25314815?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-203)\/42*2146\/404521?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (15\/(-20))\/(1\/(-68))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14270 + 14269.8. What is the biggest value in n, 0.6538, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 5. Calculate the common denominator of (6\/(-72))\/((-1)\/121) and x + 285\/66 + -2.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than -67236\/19039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 194*w**2 - 11. Let d(k) = -97*k**2 + 5. What is 4*c(n) + 9*d(n)?\nAnswer: -97*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.96 plus -53.82?\nAnswer: -54.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 625401585 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 733 = -0*p + 3*q, 4*q = -16. Let t = p - 144. Solve 2*b = -t*w - 2, 0*b = 4*w - b + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2142 divided by 238.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47? (a) 0.3 (b) 5 (c) 3 (d) 4 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a decade in months?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 207724 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*-2 - sqrt(1539))**2*-6.\nAnswer: -83106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbuvuufvufbfvzuvuvmb. What is prob of sequence fbu?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**3\/6 - 1042267*w**2\/3 + 4169071*w\/6 - 1042268\/3 = 0.\nAnswer: -2084536, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, -2, 12.63?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o. Let t(y) = 17*y**2 - 4*y + 17*y**2 + 4*y. Calculate s(t(b)).\nAnswer: -68*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 67*j**3 - 24*j**2 + 26*j + 92. List the prime factors of w(10).\nAnswer: 2, 23, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 + -39. Calculate the remainder when 50 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -113*t. Let s(l) = -l**2 - 306. Calculate r(s(j)).\nAnswer: 113*j**2 + 34578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixexxixuuxxiiiiioe. What is prob of picking 1 u and 3 i?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -20402004 (base 5) to base 9\nAnswer: -276742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4477 + 31 = -57*p. What is the greatest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2 - -2) + -6)*-1. Suppose 3*q - 24 + o = 0. What is the units digit of q*12\/9 + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17203 and -23716.\nAnswer: 407986348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13909, -14009, -14175, -14407, -14705?\n\"Answer: -33*q**2 - q - 13875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2385 + -2387. Which is the nearest to 2? (a) 0 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 6*h**3 + 3*h**3)*(h + 2*h - 4*h) + (h**2 - h**2 + h**2)*(4*h + h**2 - 4*h).\nAnswer: -6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16118, 32237, 48354, 64469, 80582, 96693?\nAnswer: 112802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/14)\/((-11)\/(-132)*-6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 - -7 - (-7 + 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = v - 26, 5*x - 7 = -5*v + 93. Let t = v + -15. What is the second derivative of 4*a - 10*a + 2*a - 6*a**t wrt a?\nAnswer: -36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggggggglgggggglgg. What is prob of sequence gggl?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 8, 2\/23, 0.3, -3\/2, -326\/19?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -104.079053 and 0.5?\nAnswer: -52.0395265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*f + 11*f - 9*f)*(-16 + 15 - 39)*(-3*f + 2*f + 2*f) in the form c*f + d + o*f**2 and give o.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -32. Suppose -k + 4*b = 3*b - 14, 5*b - s = -4*k. Solve 2*z - 10 = -4*n, -4*n + 2*z + k - 3 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 - 92. Let s(m) = 2*m**2 + 3*m + 1. Let u be s(3). Let o = u + j. Solve 4*q - o = -4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1012?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 + 51. Suppose -5*r + j*d = -471 - 423, 5 = -5*d. 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 third smallest value in 48, 2, -1\/2?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1757 - 1686. Sort -3, 3, x in decreasing order.\nAnswer: x, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 3)*(-w + w**2 + w) + 27 - 27 + w**2 + (2*w**2 - 2*w**2 - 2*w**2)*(1 - 1 - 2) to the form j + i*w**2 + a*w and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11660 by 106.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from bbfvbybbv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.34 - -515.34. Let h = -488.3 + l. What is h rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*i**2 + 12*i + 24*i**2 - 22*i - 40*i**3 + 11*i.\nAnswer: -40*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -34 - 3e4?\nAnswer: -428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-15)*(-21)\/(-28)*-2*-1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 476\/2380*(4 - (-84)\/(-20))?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1434.111 or -2\/3?\nAnswer: -1434.111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*o**3 - 110*o**3 + 202*o**3.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 0.02, -0.5, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 10*h. Which is the nearest to -0.1? (a) h (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2. Let x(i) = 1. Let f(g) = g - 5. Let v(n) = f(n) + 6*x(n). Let j(c) = -2*c - 3. Let u(a) = 2*j(a) + 6*v(a). What is k(u(q))?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x\/((x*x**(-1\/6))\/x))*x)\/x)\/x*(x*x\/x**7)\/x)**(9\/2) assuming x is positive.\nAnswer: x**(-147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 - -56.34. Let u = p - 29. What is u rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 701*t**5\/60 + t**4\/12 - 99*t**3 - 693*t**2. Find the second derivative of z(g) wrt g.\nAnswer: 1402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4883.76 + -4884. Which is the third biggest value? (a) -3 (b) x (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46225022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l + 1 - 13. Let a(h) = 53*h**2 - 9 + 1 + 15 - l*h - 10*h**2. Is a(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d = -39 + 135 + 94. Solve 2*w - 4*y - d = -2*y, -20 = -4*w - y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 - -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3 + 3708*f**2 + 14856*f + 14864 = 0.\nAnswer: -2, 1858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**5 + 725*l**4 + 11*l**3 - 3*l**2 - 3014*l.\nAnswer: -120*l**2 + 17400*l + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 5*t - 2. Let o(v) = -2 + 2*v**2 + 1 - 3*v + 2*v. Suppose -25 = -3*y - 19. Let g be o(y). Give s(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22423?\nAnswer: 17, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 6:43 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -749?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -1 + 7 - 2 + 10*d**2 + d. Is a(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*v**2 + 13*v**2 + 27*v**2)*((-3*v + 0*v + v)*(0*v + v + 0*v) - v + v**2 + v).\nAnswer: -28*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3776 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -14*g**3 - 76646*g**2 + 98564*g - 21904 = 0.\nAnswer: -5476, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 6:21 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26\/(-1 + 595\/585). Suppose 507 = -26*k - h. Round k to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-42))\/(237\/(-651) + (-82)\/1271). What is the third biggest value in -2.4, o, 12?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 - 5*y**2 + 6. Let i(d) be the first derivative of d**4\/4 + 2*d**3\/3 - 2*d + 47. Suppose 31 = -9*g + 103. Calculate g*i(z) + 3*j(z).\nAnswer: 2*z**3 + z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k**5 + 22*k**4 - 126*k**3 - 702*k**2 - 864*k = 0. Calculate k.\nAnswer: -3, 0, 16\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-9))\/((-2)\/6). Let g be ((-77)\/22)\/(m\/4). Solve 4*q - f + g = 0, q + 2*f + 19 = -2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4*g - 164 - 9 = 0, 4*y + g - 208 = -442 + 178 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 64 = -0. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2\/5, -6\/19, 154 in decreasing order.\nAnswer: 154, 2\/5, -6\/19, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672 is divided by 159.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 10:08 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*b + 22 = 480*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -36*c**3 - c**2 + 3*c - 3. Let n be r(1). Let q = 40 + n. Solve -5*v = -8 + q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 223199 and 2623?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -3.1179?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -17.2, -3\/8, 6?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-20)\/475)*(13 + (-66)\/5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*l - 109 - 16, 99 = 4*s + 3*l. Let a = -202 + 297. What is the remainder when a is divided by s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 1 = 17. Let i(n) = -n**2 - 7*n + 43. Let h be i(-11). Sort h, c, -13 in ascending order.\nAnswer: -13, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 5*b - 32. Let q be m(-4). Suppose -n - 1488 = u, -3*u = q*n + 3160 + 2794. Round n to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from wcmwwcwmwwcwwwcccqc.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 4, 50, -1\/9, 3\/4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9, 5, -7, -33, -79, -151, -255?\n\"Answer: -i**3 + 2*i**2 - 3*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-356)\/(-20) - (-2)\/10)\/(545 - 543)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 10*i**2 + 9*i - 10. Let q be m(10). Let g = -61 + q. What is the third derivative of 12*z**2 - 2*z**2 - g*z**6 + z**6 wrt z?\nAnswer: -2160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -736 + 739. Put -2, b, 45, 0 in decreasing order.\nAnswer: 45, b, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100368 and 379848.\nAnswer: 93442608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00060911476 to 7 dps.\nAnswer: -0.0006091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -65676 divided by -5\nAnswer: 65676\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*(-3 + (-1*sqrt(396) - sqrt(396)) - (-2*sqrt(396) + 2)**2)*3*-3.\nAnswer: -324*sqrt(11) + 14320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one tenth of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6950201\/535 - 12991. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -4)*(154\/20 + (-30 - -22)). What is the second biggest value in 4, 1\/2, -74, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80 + 80 - 38*f**3)*(2*f**2 + 2*f**2 - 5*f**2) + 4*f**5 - 2*f**5 - 3*f**5.\nAnswer: 37*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94960 is divided by 195.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 56?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 14. What is the second derivative of -10*a - a - b*a + 16*a**3 wrt a?\nAnswer: 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -0.545979291613.\nAnswer: -5.545979291613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -18*q. Let l(h) = -6*h. Give -20*l(m) + 6*t(m).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 23*h + 27*h = -12, -2*g = -5*h - 22 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + (-132)\/(-2 + -2). Suppose 2*t - t + 2*i = 16, -2*t + n = 5*i. Suppose -11*k - 85 + 140 = 0. Solve -k*f + t = -4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*w + 32 - 82 + 50 = -118*w. Factor w + 5\/3*z**2 + 0*z + 1\/6*z**3.\nAnswer: z**2*(z + 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, q: 4, v: 8, b: 3}. What is prob of sequence bbq?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r - 4. Let x = 8 + -10. Let b be s(x). Solve -2*k + b = -4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*j + 77*j + 5 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7 + 6*y**2 + 16 - 17*y**4 - 9*y**2. Let n(l) = -8*l**4 - l**2 + 4. Let x(t) = -9*n(t) + 4*p(t). Find the third derivative of x(j) wrt j.\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -16. Suppose -17 = -5*h - z, -2*h + 2*z + 12 = a*z. Solve -i = h*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixty-eight thirds of a minute?\nAnswer: 1360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 354.2832 years?\nAnswer: 3.542832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 8 - (-37 + 32)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*v + 10. Let l(g) = -g - 1. Let q be l(5). Let w be v + q\/(-3) - 2. Calculate the highest common divisor of 9 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z. Let l(i) = 6*i - 4*i + i - 2*i + 4. Let r(p) = 10*p + 35. Let f(j) = 35*l(j) - 4*r(j). What is 4*f(d) + 15*h(d)?\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -14 + b + 36 + 9 - 2*b. Is 10 a factor of d(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + -6 + -28 + 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 11. Let c(h) be the first derivative of h**4\/4 + 2*h**3 + 2*h**2 + 7*h + 2. Is 12 a factor of c(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 321, 2282, 5551, 10128, 16013?\nAnswer: 23206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 765702?\nAnswer: 7657020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 82 = -4*p, -4*t - 1 + 5 = 0. Suppose p*d - 9*d = 12816. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eppspsspeeee. What is prob of sequence spep?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -2\/25, 31, -5\/4, 2, 3 in decreasing order.\nAnswer: 31, 3, 2, 0.01, -2\/25, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - (sqrt(243) - ((0 + sqrt(243) - sqrt(243)) + sqrt(243)))) + -3)**2 - 4*(sqrt(3) + 1)*-1.\nAnswer: -50*sqrt(3) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 489c8 (base 16) in base 15?\nAnswer: 5d1cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38733271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41\/187 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s**2 - s + 1. Let v be h(2). Suppose t + 39 = -4*t + 3*f, 0 = 3*t + f + v. Is -7 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 2*b - 2*q + 16, 14 = -3*b + q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 + 1.07. Let a(r) be the second derivative of -r**4\/4 + 14*r**3\/3 + 19*r**2\/2 + 21*r. Let i be a(10). Is i at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**3\/6 + i**2 - i. Let j be 1*(-9)\/15*(-101 + 96). Calculate o(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-56)\/35 + (-8)\/20. Let i(h) be the third derivative of -h**6\/60 - 7*h**5\/60 - h**4\/12 - 218*h**2. Let k(z) = -z**3 - 3*z**2 - z. Give c*i(q) + 5*k(q).\nAnswer: -q**3 - q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 5*a**2 - 3*a + 24. Let q be c(-8). Suppose 10*u = 6*u - q. Let i = 73 - u. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 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 w(y) = 7*y**2 + y. Let k be w(-1). Let g(m) = -m + 14. Let v be g(k). Suppose v*i + 1597 = 7541. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -3. Suppose 3*l = 4*t + 260, -4*t + l + 4*l - 252 = n. Let a = t + 117. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*f**3 + 5*f**4 + 3 - 6*f**4 as z + k*f**3 + o*f + x*f**4 + y*f**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b + 4*b + b + ((24*b + 28*b - 11*b)*(-1 - 4 - 3) + (-2*b + 3*b - 3*b)*(-5 + 3 + 4) + 4*b - 3*b + 0*b)*(-3 + 4 + 5) to s + t*b and give t.\nAnswer: -1988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**2*t**4 - 4412*p**2*t**3 - 116*p**2*t**2 - p**2 - 34*p*t**2 wrt t.\nAnswer: -24*p**2*t - 26472*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -1\/4*s**4 + 0*s**2 - 8 + 0*s**3 - 2*s. Suppose -27 = 4*l + 3*m, -5*m - 16 = 2*l - 3*m. Determine b(l).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-7))\/(-3)*(2 + (-15)\/9)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 94029 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.06, -338\/9, -0.4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (0 + 1 - 1) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b (base 14) to base 9.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 402*o**4 + o**2 - 57*o.\nAnswer: 9648*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -666 + 674. Solve -5*y = q + 4, 0 = 2*q - 0*q + f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**3 + 2295*r**2 - 65750*r - 68040 = 0. Calculate r.\nAnswer: -486, -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 1211122?\nAnswer: -1211100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*r**3 - 21*r**3 + 0*r + 0*r - 16*r**2.\nAnswer: 3*r**3 - 16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-1)\/((-7)\/35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6839, 2, 1851 in decreasing order.\nAnswer: 6839, 1851, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 + 36*u + 4. Suppose -2*j = -m + 16, -4*m + 4*j + 68 = -0*m. Let r be h(m). Suppose -r*a + 20 - 4 = 0. Solve -n + 5 = a*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/359673 - 6034233937\/2877384. Let i = p - -2104. Calculate the common denominator of 10 + ((-32256)\/154)\/16 and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-36)*(0 - 138). Suppose 0 = 3*s - m - 26. What is the highest common divisor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30872528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/9 - 231304*f**3\/9 - 2229153748*f**2\/3 + 13375616408*f\/9 - 6687923858\/9 = 0. Calculate f.\nAnswer: -57827, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200101122 + -1100?\nAnswer: -200102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 38 - 27 = -q, -5*q + 4*d + 344 = 0. Suppose -58 = 4*i - 5*m - 238, -2*i = 3*m - q. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3926 is divided by 79.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1109, 1080, 1051, 1022, 993?\nAnswer: 964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3*r - 3 - 9, 3*r + 6 = 0. Is 36256\/264 - (w\/3)\/(-2) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1310437 to three dps.\nAnswer: 0.131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/72 and -63\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/10*32\/64*12\/6*21.\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 - 1 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 29.7. Let p = m - -1.6. Which is the biggest value? (a) 4 (b) p (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 - 29. Let c(f) = -f - 6. Let g be c(-8). Suppose a - k = -4*o, 4*o + a = -g*a + 18. Solve o*b = 3*n - 3, 5*n = b - 16 + 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102221102202 (base 4) to base 7\nAnswer: -56354616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-48)\/(-198))\/4)\/(-13*24\/936)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 11 = 5*s, 5*m = -4*s - 0*m + 3. Let p(j) = j**3 + j**2 - 448866657 - 2*j**2 + 448866657. What is p(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 + a**3 - a**3)*(-2 + 2 + 3*a**2) - 3*a**3 + 8*a**3 + 2*a**3 + a**5.\nAnswer: -8*a**5 + 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*t - 36*t = -60 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16326259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157519?\nAnswer: 157519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 39, 193, 455, 831, 1327, 1949, 2703?\n\"Answer: y**3 + 48*y**2 + 3*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 159\/4, 13, -1\/2, 24, 1 in descending order.\nAnswer: 159\/4, 24, 13, 1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*c - 4915 = 0, -5*q - c - 4930 = -6*q. List the prime factors of q.\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Solve 64*b + 7651 + 1205 = -182*b for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 2*j - 7. Let h be s(4). Let z(w) = 24*w**3 - w**2 - 2*w + 2. What is the remainder when z(h) is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5, 197, 533, 1003, 1607?\n\"Answer: 67*j**2 + j - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 7) + 4 + (2 - -3 - 27).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -24) + (19 - -48) + -59?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 196022 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2*j**3)*(5 - 5 - 2*j + (1 - 1 - 1)*(-2*j + 2*j - j) + 2*j - 1 + 1 - 2*j + j + 3*j).\nAnswer: -6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 965*l - 52 = 978*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18885?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 2*o. What is the second derivative of -c + 2*c**2 - c**2 - 3*c**2 + o*c**2 wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 14*k**2 - 406*k + 24. What is q(29)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 + 115. Let a = y - 191. What is the remainder when 75 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*o**3 + 208*o**3 - 2 + 0 + 0 + 2.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 526*f - 11565. What is q(23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from pdenprpnprrnnpeqer.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*i - 3*i + 232, -i = 5. Suppose -112 = -2*c + 46. Let p = q + c. Solve d - 3*g = -2, 5*d + p*d + g = 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-858)\/(-1573))\/(189\/77)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htp when three letters picked without replacement from {p: 6, k: 10, t: 2, h: 2}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -681*x**5 + 1809*x**2?\nAnswer: -40860*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3026 and 966718?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*w**2 - 3)*((-2 + 0 + 1)*(-w**3 + 3 - 3) + 2*w**3 - 2*w**3 + w**3).\nAnswer: -6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/2 and 29\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 21 = -5*f, -4*y - 5*f - 16 - 1 = 0. Solve -4*w = 16, q - y*w = -2*q + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*x - 44, 7*j - 4*x = 4*j + 38. Let u = j - 7. Let r(w) = 2*w**2 + w - 2. What are the prime factors of r(u)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/341 and -83\/5888698?\nAnswer: 64775678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**2 + 12644*m + 2942896 = 0. What is m?\nAnswer: -2908, -253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, t: 15}. Give prob of sequence tt.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -138 - -140. Solve -8 - x = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220549.6 kilometers to centimeters.\nAnswer: 22054960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122210232030 (base 4) to base 2.\nAnswer: 11010100100101110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 101051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**4\/12 + t**2. Let v(w) be the third derivative of w**5\/3 - 182*w**2. Determine v(l(b)).\nAnswer: 80*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -9*h - 63. Let t be b(-9). Put -3, t, -5 in descending order.\nAnswer: t, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 413813360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62.75 + -67.75. Which is the second smallest value? (a) q (b) 3\/4 (c) 0.2 (d) -0.71 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*(sqrt(153) - (sqrt(153) - sqrt(153)*-2))*3 + 1.\nAnswer: -54*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 9*p**2 - 8*p + 4. Let i(s) = -2*s**2 - 2*s + 1. Determine -2*a(z) + 9*i(z).\nAnswer: 2*z**3 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 364320 and 2070?\nAnswer: 364320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109 + -547\/5. Put m, -4, 4, 0 in increasing order.\nAnswer: -4, m, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -809*s - 7*s**6 - 117*s**3 + 124*s**3 + 2*s**2 + 41*s**3 wrt s.\nAnswer: -840*s**3 + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((-1*sqrt(117) + sqrt(117))*1 + -4)**2 + -3).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446434951.\nAnswer: 446434951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -18352*j**2 - 18159*j**2 + 36502*j**2 + 18*j**3 + 9*j. Let l(k) = -9*k**3 + 4*k**2 - 4*k. Suppose -3*r + 5 + 7 = 0. What is r*f(y) + 9*l(y)?\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7044998311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.22, -3\/4, 3\/7, -1\/2, -3\/10 in decreasing order.\nAnswer: 3\/7, -0.22, -3\/10, -1\/2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 a factor of 1008571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syyb when four letters picked without replacement from {b: 1, h: 7, s: 6, y: 6}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 6. Let f(o) = -3*o - 17. Let h(a) = 2*f(a) - 7*v(a). What is the units digit of h(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -274*q**2 - 179*q wrt q.\nAnswer: -548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/56)\/(1104\/(-4884096))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 5 - 4 + 65*b.\nAnswer: 65*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 151*g - 18708 = -3836. Calculate the greatest common divisor of 3484 and g.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1537 (base 9) in base 10?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**3 - 7*q**2 + q + 2. Give r(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 0.197\nAnswer: -0.0985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 26099700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 44227 divided by 6?\nAnswer: 44227\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.061 + 0.259. Let q = -4.22 + o. What is q rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 1. Let x be k(-1). Let g = 5439.022 + -5439. Which is smaller: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.5, 2\/15, -2, -3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 1, 28\/109 in descending order.\nAnswer: 1, 28\/109, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5838, -11688, -17540, -23394, -29250, -35108, -40968?\n\"Answer: -h**2 - 5847*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 - 59 = -50*k - 51*k. Let 36\/11*u**2 + 32\/11 - 6*u - 2\/11*u**k = 0. Calculate u.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 2844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5345 (base 6) to base 15.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 715266 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12801, -102752, -346911, -822384, -1606277, -2775696?\nAnswer: -4407747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*d = -520, -2*d = -4*h + 352 + 174. Let i(r) = -h + 387 - 127 - 127 - 9*r. Let v(y) = 7*y**2. Give v(i(l)).\nAnswer: 567*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/135 + (-8)\/36?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.11367 - 0.11367. What is the third smallest value in 1\/4, -366, 0, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 76\/12 + 2\/(-6). Suppose -m = m - p. Suppose -3*j + m*f = -33, j - 2*j = -4*f - 17. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 5. Let t be f(0). Let y(j) = -j**3 - 5*j**2. Let b be y(t). Let p(c) = -c**2 - c + 1. Give p(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -29*z**2 - 31320*z + 27248096. Let d(y) = 3*y**2 + 3480*y - 3027568. Let b(o) = -19*d(o) - 2*p(o). Factor b(m).\nAnswer: (m - 1740)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*2\/(-15)*1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1170*t + 507778. Calculate m(434).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43 + 24?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12521679 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22889245?\nAnswer: 5, 4577849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 14) to base 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(12\/6)*(-1)\/15.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*v + 10151 = 0, 0 = 4*v - 7 - 1. Let b = z + -1271. What is the highest common divisor of 40 and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -431669665 take away -23?\nAnswer: -431669642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429 - 27*u - 422 - 4*u.\nAnswer: -31*u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-234)\/(-15))\/((-42)\/3 + (-6925)\/6000*-12)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18d - -1e4?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + sqrt(1539) + 0)*4)**2.\nAnswer: 7776*sqrt(19) + 222912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 27*f**2 - 37*f - 254. Let o be h(-26). Solve o*i + 212 = 84 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/90432 and -79\/48.\nAnswer: 90432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000001 + 101010110101?\nAnswer: 100101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 52, -0.22, 0.4, 171, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twvnwnttwyyk. Give prob of sequence nnv.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 20*z**2 + 18*z + 109. Suppose 0 = 56*x - 35*x - 441. What is the remainder when 733 is divided by n(x)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 27, 54, 91, 138?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 409, 3237, 10903, 25825, 50421, 87109, 138307?\nAnswer: 206433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -557 - -1027\/2. What is the common denominator of 29\/100 and q?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/6324 and 2\/561?\nAnswer: 69564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1829, -6 in decreasing order.\nAnswer: 1829, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -16797.6, 0.11, 5, 2\/15, -0.3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b\/b**(-1\/12))\/b*b*b**(-3\/10))**(-47) assuming b is positive.\nAnswer: b**(-7849\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 1. Let m(y) = 4*y + 8. What is m(f) + 6*u(f)?\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -451*r**2. Let a(g) = -7*g - 4. What is a(d(b))?\nAnswer: 3157*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**4 - 3951*d**3 - 16892052*d**2 - 9931104000*d + 9948000000 = 0. What is d?\nAnswer: -1000, 1, 3316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 32 - (-15 + 11)) + (-9 - -13)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**5 + 3*w**3 + 2*w**2 + 2*w. Let m(y) = 2*y**5 - y**4 - 7*y**3 - 4*y**2 - 5*y. Let g(b) = 2*m(b) + 5*o(b). Factor g(u).\nAnswer: -u**2*(u - 1)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011336831 rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-828038)\/(-84))\/(-4*5). Let h = -12399\/40 - g. Let x = -183 + h. What is the third biggest value in x, 5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000802325 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14070366 is divided by 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(1\/4)\/l**(-17))**(5\/13))**(-1\/9))**(-1\/24) assuming l is positive.\nAnswer: l**(115\/3744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 3*t**2 - 8*t + 3. What is z(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273 = 5*c - 3*r, -5*c - 141 = -r + 130. Let a = 196 + c. What are the prime factors of a?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -20 + 369 + -323?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69194\/85 - 4072\/5. Which is the closest to -140? (a) -3 (b) 2 (c) -5 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -293812, -1175267, -2644360, -4701091?\nAnswer: -7345460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/554064 and 47\/3332.\nAnswer: 3878448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -0.3 (b) -1.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 25 = 23. Let p = -106 - -151. Calculate the remainder when p is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/2 + 897*u**2\/2 + 267771*u\/2 + 26605187\/2.\nAnswer: (u + 287)**2*(u + 323)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 0.3, 29\/3, 12\/7 in decreasing order.\nAnswer: 29\/3, 12\/7, 0.3, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -324464.023 to the nearest ten.\nAnswer: -324460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84079, -168355, -252829, -337501, -422371, -507439?\nAnswer: -592705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 8:07 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1616748258.\nAnswer: 2, 3, 269458043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide ((-32)\/7)\/(14\/(-49))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -457*k + 243*k = -3852. Solve 8*l = k*l + 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -20\/1519 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.11 (b) 317\/3 (c) -1.7 (d) -0.4 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1839.3 + 0.1202?\nAnswer: 1839.4202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 4 + (-2)\/2. Suppose 64 = z*h - 118. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101100011111000 + -11?\nAnswer: -111101100011111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 6*i**2 + i - 6. Let x be l(6). Suppose x = 3*r - 13 + 4. Suppose 3*v - r = -6. Let o(m) = 3*m. Determine o(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 - 44*i**2 - 45*i - 11. Let f be y(-21). Is f not equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/81 and 103\/288?\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1757743, -1757865, -1757987, -1758109, -1758231?\nAnswer: -1758353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222853972?\nAnswer: 2, 11, 1987, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -96.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 11*j**2 + 11*j + 18. Let u be x(12). Suppose 4*f + u*t - t - 413 = 0, f + 5*t = 122. Let i = f + 55. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 340*i**2 + 23525*i - 36015250?\nAnswer: 680*i + 23525","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kaarryyydataydyay. What is prob of picking 3 y?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*b - 152, -2*b + 0*b + 5*g = 65. Let l = b + 34. Let h be 2\/4 + 45\/(-10). Sort 6, -3, h, l.\nAnswer: h, -3, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 119164*f**4 - 26969504*f**3 - 100252512*f**2 - 123329152*f - 50482240 = 0. Calculate f.\nAnswer: -38\/31, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 13 = 5*u, -36 = 2*q + 2*q - 2*u. Let c = q - -21. Calculate the remainder when 48 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 6*x**2 - 4. Let h be k(-7). Let u = h + -24. Suppose -6*g + u = 3. Solve -g*b = -2 - 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -5. Suppose -3*f - r = 2*k - 43, -2*f - 5*k + 31 = 0. Suppose 3*y - 145 + f = 0. What is the remainder when y is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s + 8*s + 29834*s**2 - 20*s.\nAnswer: 29834*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3\/c)\/(c*c**(-1\/26)) assuming c is positive.\nAnswer: c**(27\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 379 divide 167084424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = 17 + 501. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-40) + (-6)\/40. Let w = 416.4 + -416.81. Which is the closest to i? (a) w (b) 0.1 (c) 4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 44. Suppose 2*x - q = -5*x. Solve 0 = -x*p - 0 - 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1150405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1716054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 23. Let g = 0.2 - 0.4. Which is the second biggest value? (a) g (b) i (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 74 = -3*h, -24 = -o + 2*h - 0*h. What is the remainder when o is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 - 78 - 44 + 2*i**2 - 80 + 178 - 2*i**2.\nAnswer: -i**3 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, n: 2, j: 7}. Give prob of sequence jsjs.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - 2*u + 5*u)*(-18368*u**2 + 2894*u**3 + 18368*u**2) to the form n*u + x*u**2 + m*u**4 + k*u**3 + h and give m.\nAnswer: 8682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5155 is divided by 51.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11835*u*z - 97625*u wrt z.\nAnswer: 11835*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 1:45 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ac + -276?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 5\/2, 0, -31, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11063 is divided by 410.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1197114 is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r**3 + 4*r**2 + 11*r. Let l(t) = -9*t**3 + 7*t**2 + 21*t. Give 4*l(c) - 7*z(c).\nAnswer: -c**3 + 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = 42*c + 9*c + 708 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 4 + 2)*(3 - 7 + 2) - 3 - 2 + 4)*(2*y - 4135 + 2*y + 4223) in the form w + d*y and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, -2, 0 in ascending order.\nAnswer: -2, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 7}. What is prob of sequence tt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 100000?\nAnswer: -100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 242 and 254936.\nAnswer: 2804296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -554*c - 94. What is the units digit of g(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyty when four letters picked without replacement from {b: 2, t: 5, y: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2 - s - 3. Let i(o) = 4*o**2 + o + 3. Give -5*f(l) - 4*i(l).\nAnswer: -l**2 + l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -2*r**3\/3 + 3223. Let q(i) = 1022*i. Calculate f(q(s)).\nAnswer: -2088968*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 20*u**2 - 11*u + 110. Calculate g(20).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*k + 5*p, -47*k = 1253*p - 1257*p + 736 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -686.1, -0.8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13173*q - 30095 = -13636*q for q.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76166.13 centuries to millennia.\nAnswer: 7616.613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*13*((2 - 31) + 26)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: db64 (base 14) to base 7\nAnswer: 215354","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 40 = 4*m. Let f = m - 2. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23764628 to three dps.\nAnswer: -0.238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 r when three letters picked without replacement from zzzzzrrzzzzzrzrzzz?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 4*q**2 - 4*q + 1. Calculate the smallest common multiple of y(5) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551 is divided by 236.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350 = -370*i - 390 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -497.2?\nAnswer: -497.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**3 + 403*t**2 + 2889*t + 563. What is j(-93)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/11 and -43\/3661?\nAnswer: 40271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/p**5)\/(p*((p*p**(-2\/23))\/p)\/p)*p*(p*p*p*(p**(1\/9)\/p)\/p)\/p*p*p**9 assuming p is positive.\nAnswer: p**(1904\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z + 10. Let t(l) = -77*l + 15. Let g(v) = -50*v + 17. Let y(u) = 3*g(u) - 2*t(u). What is 5*j(q) - 3*y(q)?\nAnswer: -2*q - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 3)*(t + t + 0*t)*(0 + 4 + 2) to f + j*t and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 1 - 2)\/((-4)\/4). Solve 0 = d*w - 7*w + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/2732498 and 37\/6?\nAnswer: 8197494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 - -56 - (1 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79 - 77. Suppose -7*q - 452 = -403. What is the third smallest value in 3, q, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10150331 (base 6) to base 9.\nAnswer: -487651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2453 + 2465. Solve 3*m - 9*m = d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-6) - 142\/6. Let z = h + 34. Let f(j) = z*j + 4*j**2 + 11*j - 22*j. Let l(w) = -6*w. Calculate l(f(i)).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11ba - 35?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -2*i**2 + 0 - 1\/60*i**4 + 0*i - 1\/300*i**5 + 0*i**3. Solve s(k) = 0 for k.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88655, 88693, 88731, 88769, 88807?\nAnswer: 88845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 56009.\nAnswer: 56008.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + -31. Suppose -8*d = -13*d + i. Suppose -d*f + 7 = -3*c + 738, -2*c = -f - 499. What is the highest common divisor of 28 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5853220153.\nAnswer: 11, 47, 11321509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -913 = 2*f - 249. Let i = 4189668\/13 + -321950. Let h = f + i. Which is the smallest value? (a) 2 (b) -3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1537?\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i + 4*i - 2*i - 91*i - 87*i + 100*i + (-5*i + 3*i + 0*i)*(-2 + 1 - 1) - i - 5*i + 5*i.\nAnswer: -76*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 312003 - 1113032?\nAnswer: -201023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 = -27*o - 109 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + -2 + 1 + -10 + -6.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -987 take away 7?\nAnswer: -994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.95 * -263606\nAnswer: -250425.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 137088342 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3357960 is divided by 419715.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011 (base 2) in base 7?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21471, -43424, -65387, -87366, -109367, -131396, -153459, -175562?\n\"Answer: -z**3 + z**2 - 21949*z + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86170627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 + 1540*v + 71496.\nAnswer: 4*(v + 54)*(v + 331)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (10 + 9) - (-3 - -7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2813*d**4 + 2*d**2 + 649*d + 3 wrt d.\nAnswer: -33756*d**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 2. Let d(q) = 2*q + 6. Let a be d(-6). Let f be (0 - 1)*-2*3\/(-6). Let p(x) = x + 1. Let k(l) = a*p(l) + f*t(l). Calculate k(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/93 and 145\/210*48\/(-112)*7.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 3. Let x(a) = -a - 11. Let i be x(-11). Let c = i + 5. Suppose -3*l - c*q - 11 = 16, 0 = -5*q - 15. Calculate g(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3\/4 (b) -1.8 (c) -6\/181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - r - 12. Let l be i(-3). Let f = -5 - -10. Suppose 0 = -2*w + 5*z - 15, f*w - 5*z = -l*w. Let p(y) = -y + 12. Calculate p(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 242569475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 66 = -39. Let y(z) be the second derivative of -1\/10*z**5 + 0*z**c + 0*z**4 + 2*z + 0 - z**2. What is the derivative of y(m) wrt m?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 22*b + 2. Let p be m(-22). Find s such that 52*s**p + 300 + 70*s - s**3 + 150*s + 5*s**3 = 0.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 479946 divided by 2.\nAnswer: 239973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -43.0046. What is i rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.76 + 0.24. What is the third biggest value in 3\/5, c, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*y + 75 = 35*y. Let t(w) = -26*w + 57. List the prime factors of t(y).\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6244299773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 5 - 2 - 7*z + z.\nAnswer: -6*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/26 and 145\/8034?\nAnswer: 8034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*k**2 - 36*k**2 - 33*k**2 - 22*k**2.\nAnswer: -17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lgyjglrgyugrg. Give prob of sequence ylg.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 691, 2623, 5847, 10363, 16171, 23271?\n\"Answer: 646*a**2 - 6*a + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.109 + -0.091. Which is the smallest value? (a) m (b) 1\/4 (c) -0.4 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyfyqlbyqyqsyyyyysys. Give prob of picking 1 y, 1 l, and 1 f.\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29683?\nAnswer: 29683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 3*m - 6 = 0, 3 = -d - 5*m + 13 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16522 is divided by 153?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vumm when four letters picked without replacement from mbbbuwbmuuummuv?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 663.99 + -664. Which is smaller: q or -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 4*b + 16*b - 8*b - 283, 18*o + 162 = 2*b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 48084, 96155, 144226, 192297?\n\"Answer: 48071*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**3\/3 + 12*s. Let i(j) = j - 1. Let k(q) = -24*q - 5. Let w(c) = 5*i(c) - k(c). Determine w(r(z)).\nAnswer: 58*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 964 and -85.72867?\nAnswer: 1049.72867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 4*c**2 + 6*c - 30. Let h be l(4). Is 736 - (1 + h)\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2262 by -2.\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 2, 4, -9.\nAnswer: -9, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2142203?\nAnswer: 7, 306029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*-7.6\nAnswer: -4.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**4 - 142180*p**3 - 83658564*p**2 - 166890572*p - 83374192 = 0. Calculate p.\nAnswer: -577, -1, 36124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8))\/((-1)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -127 + 162. Let k(a) = -4*a - 12. Let l be k(-3). Suppose 4*w - 12 - 16 = l. What is the greatest common divisor of w and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5398751233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 146221\/12 + -12196. Find the common denominator of z and 157\/306.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5602828 is divided by 64.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, 5, -11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 203564267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v + 66 = b, -3*b - b = -573*v + 572*v - 21 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -121, 1415363, 5 in descending order.\nAnswer: 1415363, 5, 2, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3*4\/48)\/((-2)\/16). Suppose -3*t + 22 = i*t - 3*v, 2*t + 2*v = -4. Solve 3*w - 11 + t = 5*f, 0 = -5*w - 3*f + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3525163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 8*p - 14. Calculate q(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 778\/5, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**4 + 2*s**3 - 1. Let l(i) = 740*i**4 - 10*i**3 - i + 2997. Let j(t) = l(t) + 5*q(t). What is the derivative of j(f) wrt f?\nAnswer: 2920*f**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.97 + -1.552. What is d rounded to two dps?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1698, -1994, -2480, -3156, -4022, -5078?\n\"Answer: -95*o**2 - 11*o - 1592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30548810 a multiple of 302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (64 + -65)\/((-2)\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 144\/384 + 51\/90 and -179\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 93*q**3 - 11*q**2 + 11. Let u(p) = -31*p**3 + 4*p**2 - 4. Give -4*s(t) - 11*u(t).\nAnswer: -31*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 9*u**2 - 10*u + 19. Let t be c(8). Let f be -2*2\/4 + 17. Suppose t*s = 2*j + 3*j - f, -3*j + 4 = s. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/240)\/((-1)\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 9 = 6. Suppose -d*j + 4 + 2 = 0. Suppose -5*w + 30 = j*x, -2*w = 2*x - 1 - 5. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzyyyyyyzzy. Give prob of picking 1 z and 2 y.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from kxzkzzzk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -0.17678291.\nAnswer: -0.07678291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 22*h**2 - 24*h + 49. Let w be f(21). Does 9 divide (157 + 4)*(-20)\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-248)\/(-88) + 2\/11. Suppose -d*q - 256 = -l, -2*l + 0*q = 5*q - 556. Suppose 5*v + 2*f - l = 0, 2*f - 6*f = 4. Is 27 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from ooojjojjjjojo?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000044886 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 4*y - 1 + 4, 0 = 3*o + 2*y + 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13320312031 (base 4) to base 2\nAnswer: 111111000110110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 1119 = l + 1134, 5*i - 2*l = 26 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-360)*(-5)\/(-1)*-1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(33) + 1*sqrt(33)) + (3*sqrt(231))\/sqrt(7) + sqrt(33))\/(-4*sqrt(18)\/(sqrt(6) + (sqrt(96) - -1*sqrt(96) - sqrt(96)))))**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2859*a**3*j**2 + 2*a**3*j + 701*a**3 + 3*a**2*j**2 - 13*a**2*j + 2*a*j**2 - 2154*a*j wrt a?\nAnswer: 17154*j**2 + 12*j + 4206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/3*(-26)\/(-195)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 700 a factor of 3705800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145b03 (base 14) to base 2.\nAnswer: -10101100101100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-7 - -4) + 1 + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t - 134. Let q be g(24). Suppose -2*z = q, -3*x - 5*z = -5*x + 567. List the prime factors of x.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -47, 5, -2.\nAnswer: -47, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 2:43 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_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: What is the difference between 7.3 and 34?\nAnswer: 26.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z = 0. Let j = 5 - z. What is the common denominator of j and 6\/15 + 7\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - c + 10 = 0, 4*c - 6*c = 10. Suppose w = f*p - 7*p + 17, w - 4*p = 17. Solve 2*m = -4*u + w + 7, 2*m = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5132568905 take away 0.1?\nAnswer: -5132568905.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7179.12 nanometers to kilometers.\nAnswer: 0.00000000717912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**6 + 6824327*y**3 - 38*y**2 + 134*y - 34 wrt y.\nAnswer: -120*y**3 + 40945962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 21. Suppose -4*p + 116 = 2*k, -4*k + 5*p - 3*p + 232 = 0. Calculate the remainder when k is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 10*n**2 - 11*n - 11. Suppose -8 = 29*x + 253. What is t(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Express -16 + 17 - 11*s**2 + s**4 + 0*s**4 + 150 + 10*s**2 as k + l*s**3 + i*s + t*s**4 + n*s**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 7153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18195*x + 17710*x + 28615 for x.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 3:29 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*(sqrt(1400) + sqrt(1400) + -2*(sqrt(1400) - ((-2*sqrt(1400) - sqrt(1400)) + sqrt(1400))) + sqrt(1400)))\/((3*sqrt(18)*2)\/(sqrt(27)\/sqrt(12))).\nAnswer: 4 + 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.122 (b) -1\/7 (c) -3\/7 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/(-36))\/((-1)\/518). Find the second derivative of 2*t + 16*t**4 - 524 + 237 + 4*t**3 + f wrt t.\nAnswer: 192*t**2 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 521306 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: What is (512\/336)\/(29\/609)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*s - 6 + 69*s**2 - 2*s - 35*s**2 + 6 to y*s**2 + g + p*s and give y.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 290, 580, 870, 1160, 1450, 1740?\nAnswer: 2030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (-4 + (-12 - (-14 - 2)))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 1 - (-50 + 30). Suppose 2*p + b = 4*p. Solve p*w + 6 = 6*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-6) + 1)*2. Suppose d*z - 4*h + 10 = -0, -4*z + 5*h = 12. Find the third derivative of f**2 - 11*f**5 - 5*f**z + 8*f**5 wrt f.\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*r + 292 = 0, -5*r - 12 = -2*r. Are m and -8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d. Let r be 28\/3 - 2\/(-3). Let s = r + -6. Let o(v) = 3*v - 2*v - s*v. What is x(o(n))?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsrsrsvqrvrrssii. What is prob of sequence sq?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/237 - -512\/4503. Which is the nearest to 1\/15? (a) r (b) 3 (c) 4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26682840 divided by -1128?\nAnswer: 23655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -20. Suppose -j + x = 2*j. Suppose o + 27 = 6*m - m, -13 = -m + 4*o. Solve c + j = m*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 52932749, 105865497, 158798245?\n\"Answer: 52932748*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cb (base 14) to base 11.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 1)\/((-16)\/64). Let n = -0.01 - 0.38. Let f = -0.09 - n. Which is the smallest value? (a) f (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 + 11 - 40*s**2 - 9 + 4*s**4 wrt s?\nAnswer: 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zam when three letters picked without replacement from {k: 1, m: 1, a: 1, n: 2, z: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-170)\/(-85))\/(2\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3453.\nAnswer: 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-2 + (0 - 1) - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**3\/3 + 505*v. Let b = 6 + -4. Let i(o) = -4*o + 7*o - b*o. Give l(i(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 197\/(-77) - (-4)\/14 and (-135)\/(-8) + -53 + 48.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -971, -3\/8, 2\/7, 2 in descending order.\nAnswer: 2, 2\/7, -3\/8, -3\/7, -971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*i - 3 = 0. Let v be (2\/(-1))\/((-4)\/32). Suppose 3*n + r - 11 = 0, -3*r - 7 = -3*n + 2*n. Solve -m + 2*h = i*h - n, v = -m + 3*h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18821 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -25112, -1, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2494*h**3 - 2083*h**3 - 11553*h**3.\nAnswer: -16130*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(11) + 1 + sqrt(539))) + 1)**2 - ((sqrt(88) + sqrt(88)*3 - sqrt(88))*5)\/sqrt(8).\nAnswer: -15*sqrt(11) + 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1099 - 2875. Let x be -3 - (1 + 0 - q). Let a = -7177\/4 - x. What is the common denominator of 19\/16 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 2*p - 10 - 6, -2*p + 12 = 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n - 30*n - 40 = 0. What is the remainder when n\/7*(-2170)\/124 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 0, 21 in decreasing order.\nAnswer: 21, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -11724*c - 349. Is m(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i + 4. Let o(w) = 3*w + 4. Suppose d - 5 = -5*p, -5*p - 10 = -4*d + 10. Let a(c) = d*b(c) - 6*o(c). Give a(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 8192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30637878 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/528 and -131\/924?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n*(n**(-5)\/n)\/n)*n*n**(2\/5)*n*n*n\/((n*n**(3\/2)*n*n)\/n)*n*n\/n**(1\/11)*n*n assuming n is positive.\nAnswer: n**(1189\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from {x: 5, z: 1, g: 1, e: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49291504 by 2192.\nAnswer: -22487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 762, 2998, 6716, 11910, 18574?\nAnswer: 26702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 579596983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -377 - -378. Solve 0 = -n - 2 + j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 3*x - 15 = 0, -x - 4 = -2*i - 3*x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 24*d - 21*d. Solve -d*g + 2*g = -6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184581.6 milligrams in kilograms?\nAnswer: 0.1845816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wexeexp. Give prob of sequence xee.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11596 and -29946655?\nAnswer: 29935059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.63 + -0.37. Let x = 7.4 + -2.4. Let p be (-10)\/35 - 5\/7. Sort x, -0.4, l, p in decreasing order.\nAnswer: x, -0.4, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4011.635 + 401501.\nAnswer: 405512.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -19 + (-395)\/30.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 35 = 2*w. Let q = 12 + w. Let t(f) = f**3 - 4*f**2 - 2*f + 2. What is the tens digit of t(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2707\/7, -2\/13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -344, -270, -138, 58, 324, 666?\nAnswer: 1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*n + 6*n. Let m(z) = -3*z + 1. Let g be m(2). Let k be (n\/6)\/(g\/45). Solve 3*a + 4*r = -3, -5*r + k - 5 = 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p**2 + 521*p + 2286. Calculate m(91).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 43.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w - w - 4*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 17.6. Let q = -13.13 - l. Round q to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56580280 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3191, 6386, 9559, 12704, 15815, 18886, 21911, 24884?\n\"Answer: -a**3 - 5*a**2 + 3217*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 + 51. Solve -3*a - 3 + 17 = 5*r, 2*a = -b*r + 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -83, -79, -61, -23, 41, 137?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 157 and 3.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -299\/4 or -74?\nAnswer: -299\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 + 100. What is the first derivative of 4 + 52*j**2 + a*j**2 - 27*j**2 wrt j?\nAnswer: 160*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*f + 7*f + 9*f + (6 - 4 - 1)*(2*f - 2 + 2) + 3 - 3 + f - 118*f + 669 - 669.\nAnswer: -109*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (764 - 399 - 109)*(-k**2 + k**2 + 4*k**2) + 5*k**2 - 3*k**2 - k**2.\nAnswer: 1025*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = f - 10 - 15, 0 = -4*f - i + 100. Calculate the remainder when f is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 8*f**3 - 6*f**2 + 6. Let a(n) = 7*n**3 - 5*n**2 + 6. What is -6*a(x) + 5*u(x)?\nAnswer: -2*x**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c - 8 = -4*c. Sort 3, 1, 5, c.\nAnswer: c, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -12. Let w = 5.6 + l. Let j = -54.5 + 54. Which is the third smallest value? (a) 5 (b) w (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**2\/7 - 603*r\/7 - 606\/7 = 0 for r.\nAnswer: -1, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(20\/8 + -2). Let c = k + -14. Let b = 0.3 - 0.3. Put c, b, 0.1 in ascending order.\nAnswer: c, b, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 15\/(-20)*4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37367 and 45881.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 1 = -z - 4, 0 = 4*z - 3*z + 5*o + 41 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 - -0.3. Suppose -1413*z + 1438*z = -75. Put z, 0.17, s in increasing order.\nAnswer: z, s, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1463 - 617 = -104*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a9aa4c (base 16) to base 12.\nAnswer: -3882864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -241 + -1340?\nAnswer: -2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -25119 divided by 386?\nAnswer: -25119\/386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(2\/27))**(-33\/4)*(a**(1\/2))**(11\/5)*a**(-3)\/(a\/a**(-6)) assuming a is positive.\nAnswer: a**(-373\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 + -85. What is the first derivative of s**2 - 8*s**2 - 25 + 15*s**2 + 5*s**d wrt s?\nAnswer: 26*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**4\/6 + 848*o**3\/3 - 11*o + 9. Factor h(p).\nAnswer: -2*p*(p - 848)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 1 (b) -934 (c) -0.1 (d) 2\/19 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 8 = -5*s, -24*k = -7*s - 19*k + 48 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjm when three letters picked without replacement from nnnmnjj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58733098.\nAnswer: 2, 43, 682943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1102 at least -1107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 401 + -418. Let p(f) = -2*f - 26. Calculate p(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j**2 - j**3 - 7*j + 3 + 2*j + j. Calculate the remainder when t(-6) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/118560684 and 46\/9471?\nAnswer: 829924788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 6. Suppose -f + 1 = -n, -2*n + n + 3*f = 3. Let k be l(n). Solve 0 - k = -3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24 - 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1070*a - 4 = -1066*a, 4*a = -3*v + 92. Solve 724*g = 730*g + v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3888 and 245871.7559.\nAnswer: 249759.7559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.137\nAnswer: -0.0548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -184*f + 197. Let l be d(-6). Suppose 0 = -2*m + 5*y + l, 1 = -y + 6. Is 37 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 + x**3 - 2*x**4 + (3 + x**4 - 3)*(1 + 1 - 3) + (0*x + 2*x - 7*x)*(-2*x**3 + 0*x + 0*x) - 4*x**3 + 2*x**4 + 4*x**3.\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - j)*(4*j - 2*j - 4*j)*(-2 - 5 + 3).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -5. Suppose 4*h = -0*c - u*c + 16, 3*c = 0. Let k = h + 3. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 8*u - 13. Let h be j(-9). Let n be -1*3 + h + 6. What is the remainder when 1\/n*1 + 10 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 86 - 106 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/10 and (-7)\/(-44) + (5 - (6 - 2))?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = 6*o + 2919. Let y(g) = -2*g**2 + 20 - o*g - 9*g**2 - g**3 + 430*g. Let w be y(-12). What is the highest common factor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9)**(-1\/28)\/(h**(1\/6))**(21\/2) assuming h is positive.\nAnswer: h**(-29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -77 * 1\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5 - 25278*b**4 + 328505*b**3 - 1516012*b**2 + 2829744*b - 1616960 = 0.\nAnswer: 1, 4, 25265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 (base 16) in base 7?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k**2 + 13*k**2 - 3*k + 51 - 8*k**2 in the form l + y*k**2 + z*k and give l.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 646.8482 millennia to centuries.\nAnswer: 6468.482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 183 = l, 0 = 2*l - c - 0*c - 352. Is l a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.11871l to millilitres.\nAnswer: 32118.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 - 113 + 57 - 337949*j.\nAnswer: -337949*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 241333.1572 to the nearest 1000.\nAnswer: 241000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4*3*4\/(-78)*(-10)\/(-80)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89.3 + -89. What is the closest to -1\/2 in 0, -4\/7, m?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e2 (base 15) to base 13.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214.36*-0.3.\nAnswer: -64.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 14. What is the common denominator of (5 - 78\/33) + -5 and 1366\/28 - 4\/b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24251.532 months to millennia.\nAnswer: 2.020961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/5*j**4 + j**3 + 1\/5*j**5 + 0 - 2\/5*j**2 + 0*j = 0. Calculate j.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {s: 2, b: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2 + 4)\/6)\/((-793)\/183).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358*s - 1620 = 25 + 145. Let c = -5 + 3. Let v(z) = -2*z**3 + 2*z**2 + 7*z. Let b(j) = j**3 - j**2 - 3*j. What is c*v(d) + s*b(d)?\nAnswer: -d**3 + d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (19\/(-2) - -6)\/(4\/(-15112)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -1 - (0 - (0 + 1)). Let z(x) = x + 2 - 12*x**3 + s*x**3 - x**2 + x**2. What is the tens digit of z(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*w - 27*w = 197501. What is w rounded to the nearest 100?\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3844 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 9:44 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 + 3*o + 19. Suppose -2*f = 1 - 13. What is the tens digit of y(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 93057.4 centuries?\nAnswer: 111668880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, 23, 27, 13, -25, -93?\n\"Answer: -b**3 + 23*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 - 10*m**3 + 2*m**2 - 47*m**3.\nAnswer: -57*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**4 + d**4 + 3*d**4)*(d - 2 + 2)*(-5 + 0 + 3) - d**5 - 4*d**5 + d**5.\nAnswer: -8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006969846 to 5 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 906 divide 768616924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**11\/b*b*b**1)\/(b*b*b**0)**10 assuming b is positive.\nAnswer: b**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182 and 2210.\nAnswer: 15470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*q - 11 = -3*a + 119*q, 5*a = -2*q + 17 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -45 + 80 - 5*r - 35 + 3*r. Let a(f) = 13*f + 4*f + f. What is a(s(u))?\nAnswer: -36*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -10. Let z = -7.991 - i. What is z rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3 + 2)\/(45\/(-54))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39064558.\nAnswer: 2, 13, 863, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 8*m**2 - 63*m + 31. Let r be k(-13). Solve 0 = z - r*p - 18, -52*p = -53*p - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57384833 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from {d: 2, b: 1, c: 6, n: 4, h: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + 1*(3 + ((sqrt(1331) + (sqrt(1331) - ((-1 + sqrt(1331) - sqrt(1331)) + sqrt(1331))))**2 - sqrt(1331))).\nAnswer: 11*sqrt(11) + 1335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 798 + -794. What is the smallest common multiple of q and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -14. Let w = 0.7 - 1. Let h = 4.3 + w. Which is the closest to r? (a) -1 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 298 - 948. Let x = 62 + a. Let o be x\/(-16) + (-4)\/16. Solve 0*w + 20 = -o*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - k - 1. Let z(m) = 4*m**2 + 6*m + 6. Let a(n) = 6*y(n) + z(n). Let b(q) be the second derivative of -q**4\/4 + q. What is b(a(h))?\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1095 is divided by 363.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**13*v)**(-34) assuming v is positive.\nAnswer: v**(-476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 623122864 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 145, -8, -0.5, 86 in increasing order.\nAnswer: -8, -0.5, 86, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1873316?\nAnswer: 2, 269, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -10 + 48 + -36.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 4\/51*v**3 + 1\/170*v**5 + 0 + 0*v**2 + 8*v - 2\/51*v**4. Find s such that x(s) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1865 - -643. Let f = -700 - q. Is 26 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 694 - -5?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1449 = -4*g + 219. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 k when four letters picked without replacement from kjjjjjkjjjjjjjjjjjjj.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 7*b. Suppose -3*c - 28 = -7. Let a be w(c). What is the units digit of 1\/1 + a + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 plus -44618149755?\nAnswer: -44618149754.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103\/23 - 481\/92. Which is the closest to 0.1? (a) i (b) -2 (c) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**2 - 5*q + 2 + 2*q**2 + 3*q**2. Let d be c(3). What is the highest common factor of 45 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 340\/14 - -1 - 6\/21. Suppose -o*l + 838 + 112 = 0. Solve 4*w - 4*s - l + 10 = 0, -12 = 4*s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + (-3 + sqrt(612))*4 + 0 + (0 + sqrt(612) - sqrt(612)))*5.\nAnswer: -60 + 150*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 2*s + 2. Let l be j(-2). Suppose -w = -5*y - 8 + 86, -l*y + w + 33 = 0. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -253 (base 6) in base 14?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, -1, -4, -24.\nAnswer: -105, -24, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 28*t**2 + 192*t + 3. Let g be b(-16). Factor 16*j + 9\/4*j**4 + 4 + 12*j**g + 22*j**2.\nAnswer: (j + 2)**2*(3*j + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/106 and -77\/18?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.5101609 rounded to 1 dp?\nAnswer: -29.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18 + (0 - -1)*-2. Let a = 22 - y. Calculate the least common multiple of 5 - -2 - (5 + -2) and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2. Let o = -21 + 23. Let i(v) = 14*v**3 - 4*v**2 - 2*v + 1. Let l be i(o). Let m(f) = l*f + 2*f**2 - 93*f + 19. Calculate b(m(x)).\nAnswer: -4*x**4 - 76*x**2 - 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 19 - ((7 - (14 - 87)) + 46).\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3.09569t?\nAnswer: 3095690000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(128) + (sqrt(128)*-3 - sqrt(128)) + -1 + sqrt(128)) + ((sqrt(162) + -1)*-3 + sqrt(162) + 4)**2.\nAnswer: -204*sqrt(2) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkjkpkdpjp. Give prob of sequence pjd.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 25*u**2 + 9*u - 27. Let r(t) = -12*t**2 - 4*t + 12. Let q(k) = 9*r(k) + 4*y(k). Let s(p) = -3*p + 59. Calculate q(s(x)).\nAnswer: -72*x**2 + 2832*x - 27848","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 488 = 5*k, 390 = 4*k - 2*j + 5*j. Let z be 237\/8 - (-36)\/k. Solve -z = -8*h - 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 o when four letters picked without replacement from {a: 7, f: 7, o: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -409*r + 572. List the prime factors of q(-12).\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32469 is divided by 416.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20448 - -20596. Let r be 12\/18*(-222)\/(-4). Calculate the greatest common divisor of r and n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - u + u)*(-2 - 3*u - 8*u + 9*u)*(-7 + 3 + 0).\nAnswer: -16*u**2 - 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/35)\/(447\/(-1043))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 11*j. Let y be m(-9). Suppose -2*f = d - y, 57 = 3*d - 4*f - 82. Solve 52 = w + d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5456 + -5460. Which is the third smallest value? (a) 2\/19 (b) 97 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8645, -3231, 2195, 7639, 13107, 18605, 24139?\n\"Answer: b**3 + 5407*b - 14053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56*u + 56*u - 20*u**5 + (-u + 14*u - 5*u)*(2 - 2 - u**4).\nAnswer: -28*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xzxuwzmuuxzozz. What is prob of sequence ouwz?\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 3720.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 4*z**2 + 3*z + 4. Let b be h(-3). Solve 0 = -b*u + 3*u + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4257\/387*(-2)\/(-88).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (6 - 10)) + -61 - (-1 - -17)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 173685970?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 161\/2 + 3\/(-6). Let o = 19 - d. What is o rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14808 + -14806.03. What is s rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 31900, 63794, 95688, 127582?\n\"Answer: 31894*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 8*b**2 - b + 14. Let v be (9\/4)\/((-4)\/16). What is the tens digit of y(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -p + 6*p - 150, 0 = 3*p + 3*q - 108. Let n(s) = s**3 - s**2 - s - 20. Let u be n(0). Let v = u + p. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**5\/5 - 185*w**4\/12 + 2*w**3\/3 + 13*w**2\/2 + 194*w - 2. What is the second derivative of k(y) wrt y?\nAnswer: -24*y - 370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14a89b (base 14) in base 15?\nAnswer: -e37c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32.5 + 33. Let u = 1 + 0. Let m = h - u. What is the smallest value in 0.2, 0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 0)*-5)**2 - (-2*sqrt(7)*-1)**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(12)\/(sqrt(4)*-1) - sqrt(3))*6 + -2.\nAnswer: -2 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.7+7276256886\nAnswer: 7276256885.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1660480, 1659857, 1659234, 1658611?\n\"Answer: -623*c + 1661103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 266168, 532336, 798504, 1064672?\nAnswer: 1330840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16102832*n**2*p**3 - n**2*p**2 - 153*n*p**2 - 463*n - p**2 wrt p?\nAnswer: -96616992*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2735, -2729, -2723, -2717?\n\"Answer: 6*i - 2741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-8))\/((-45)\/(-8)). Let z = q + 7\/45. Let g = 0.7 - -2.3. Which is the second biggest value? (a) -0.5 (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 10 = 109. Suppose -s + f + 2*f = m, -2*f - 144 = s. Round s to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) 4 (c) -5 (d) 0.3131\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 3\/8 (b) -17 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31568, 252608, 852600, 2021024, 3947360, 6821088, 10831688?\nAnswer: 16168640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -24*m**2. Let z(t) = 25*t**2. Let f(p) = 3*w(p) + 2*z(p). Let g(q) = -q**2 + 4*q**2 - 3*q**2 + q**2. Calculate g(f(s)).\nAnswer: 484*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 300 - -142?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 13*j - 33*j + 2*j + 6*j. Let u(t) = 10*t. Calculate v(u(m)).\nAnswer: -120*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 3. Suppose 0 = 3*k - 0*k + 12. Let u be p(k). Calculate the greatest common factor of u and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/2 - 5*n**3 - 37*n**2\/2 - 30*n - 18.\nAnswer: -(n + 2)**2*(n + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 - 97 = -5*w - 2*o, 5*w = o + 35. Calculate the highest common divisor of 2504 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12425096?\nAnswer: 2, 17, 103, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5858543, -11717088, -17575633, -23434178, -29292723, -35151268?\nAnswer: -41009813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(88)*-3 + sqrt(88))\/(sqrt(392)*-3 - sqrt(8)).\nAnswer: -8*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 168798?\nAnswer: 168798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 7 + 2 = 0. Suppose -d - y*d = 2*h + 2, 4*h + 2*d = 14. What is the remainder when h is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -7.9999995. What is o rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from {h: 1, z: 1, k: 2, w: 3, m: 3}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2\/9 + 3199\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10 + 33\/(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -1\/5, -3.47, -18\/17, -11, -1\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 124, 115, 98, 73, 40, -1?\n\"Answer: -4*r**2 + 3*r + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 4*b + 3*b - 18408, 4*b - 11054 = 3*v. Let n = v - -7480. Let q be (n - -6) + 0 + -4. What is q rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (36\/48)\/((-6)\/(-88)). Suppose -w = -u*w + 6540. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - (sqrt(1573) + 3 + -1) - (sqrt(1573) - (0 + sqrt(1573) + sqrt(1573) + 0) - sqrt(1573)))**2.\nAnswer: -88*sqrt(13) + 6296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-22)\/60 - (-1)\/5. Let q = -0.16 + 0.16. Suppose -4*s = 4*y, -4*s - y + 0 - 6 = 0. Which is the closest to q? (a) s (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 17. Suppose r - 47 = d + 2*d, 5*d = 5*r - 95. Let k be t(d). Factor -f**2 - f**2 - 3*f**2 - k - 2*f + 6*f**2.\nAnswer: (f - 3)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 331, 738, 1341, 2158, 3207, 4506?\nAnswer: 6073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 = 37*i + 124. Let f(u) = -23*u**3 + 8*u**2 - 8*u - 8. Let b(r) = 8*r**3 - 3*r**2 + 3*r + 3. What is i*b(n) + 3*f(n)?\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**5 + 360*j**4 + 20536*j**3 + 303120*j**2 + 1104300*j - 3591000 = 0 for j.\nAnswer: -15, 2, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 18*f - 1267. Give m(63).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 118068 greater than or equal to 118068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2243\/9 - 249. Factor 2\/3*j**3 + 2\/9*j + 2\/3*j**2 + 0 + q*j**4.\nAnswer: 2*j*(j + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 441\/(-392) - 180\/(-288)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1269 - -1277. Solve 19*z - 21*z = -p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**3 + 4*r - 3. Let o be u(1). Suppose o*j = 9*j - 696. Does 29 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = q - 1748, q + 7*x = 3*x + 1746. Suppose -q = -6*p + 716. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3137260 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/14 + 71060\/(-154). Let w be (-161)\/k + 6\/(-33). What is the second smallest value in -0.08, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -46, 13, -1, 16 in decreasing order.\nAnswer: 16, 13, 4, -1, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 196 - 199. What is the nearest to 2 in g, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5842 or -5838?\nAnswer: -5838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -663, -5362, -18135, -43020, -84055, -145278, -230727?\nAnswer: -344440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8146*o**3 - 113*o**2 - 22?\nAnswer: 48876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 4*o**2 - 3*o + 2. Let p be c(4). Let r(m) = -m**2 - 11*m + 32. Let t be r(-13). Let k be (-2 - p)*(-7 + t). Is 2 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5156\/(-54138)*126\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 112 + -93. Suppose 2*f + 4*i = 40, 3*i - z = -2*f + 6*i. Solve f*w = 17*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -8*p**2 - 4*p. Let z(r) = -r**2. Calculate w(t) - 5*z(t).\nAnswer: -3*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12021120 + 21020122?\nAnswer: 1222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 85*a**2 + 65.\nAnswer: 170*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3435 divided by -31.\nAnswer: -3435\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2871910391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - z**2 - 3*z**2 + 3996*z**3.\nAnswer: 3996*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*d**2 + 8277409*d**3 + 304*d**2.\nAnswer: 8277409*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (24 - -7) + -20.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z - 13. Let p be a(4). Let y(l) = l**3 - 5*l**2 + 4*l**2 + 3 + 0*l**2 + p*l. Give y(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00085789 rounded to 6 decimal places?\nAnswer: -0.000858","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6948 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*2*2\/4. Suppose -3990 = -86*g - 199*g. Solve 5*m = z + g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 5*b + 5*b)*(2*b + 2*b - 2*b)*(-15 + 15 + 6*b**3).\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -14. Solve -2*r - 4*q + 2 + 12 = m, -5*r + 4*q = 35 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**2*x**2 + 115*k**2*x + 9*k**2 - 1364*k*x**2 + 2*k*x - k + 2*x**2 wrt k?\nAnswer: -4*x**2 + 230*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/187 + 549\/748. What is the closest to 3 in i, 1, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**(-5)*k*k)\/k*k*k)\/(k*k\/(k*(k\/(k*k**19))\/k)*k))**(-16\/11) assuming k is positive.\nAnswer: k**(368\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/6 + (-1559)\/6. Let j = q - -120. Round j to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -529, 0.7, 1, 0.1 in decreasing order.\nAnswer: 1, 0.7, 0.4, 0.1, -529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 8 + 4)*(0 + 0 + 2)*(3*h + h - h).\nAnswer: -96*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4)\/((((j*j**(-3)*j)\/j)\/j)\/j)*(j\/(j*j*j**(15\/8)*j))**(-3\/40) assuming j is positive.\nAnswer: j**(93\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -9. Let s = 80 + -79.6. Let w = -400.8 + 401. What is the third biggest value in l, s, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1060.88536602 and 0.5.\nAnswer: 1061.38536602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 8*a**2 + 2*a + 4. List the prime factors of u(-3).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - -1 - 1)*(15 + -2). Suppose -35070 = -n*o + 4554. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 13 + 4)*(-6*g - 259*g + 11*g - 5*g + 2*g + g + (-g - 3 + 3)*(1 + 0 - 2) + (0 - 1 + 2*g + 2)*(4 - 7 - 5)) in the form j + v*g and give j.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-8))\/(-1) - 1335600035\/28. Round w to the nearest 1000000.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(27\/12)*(-84)\/112*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1773658.\nAnswer: 2, 59, 15031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1399, 2867, 4335, 5803, 7271?\n\"Answer: 1468*v - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 j, and 1 s when three letters picked without replacement from {j: 2, s: 2, q: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 2\/3 (c) -1\/5 (d) -1\/20 (e) 0.762 (f) 6\/11 (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 742396420 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1817935 is divided by 164.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (56\/(-70))\/(4\/10). Put t, -3, -1 in ascending order.\nAnswer: -3, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.3702619 rounded to three decimal places?\nAnswer: 29.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -505 and 4.\nAnswer: -2020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 g, and 1 w when three letters picked without replacement from agtgzgttwwsgggs?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/1)\/(8 - (-30)\/(-5)). Let d(w) = -w**3 + w**2 - w + 3. Let v be d(l). Solve 6*f - 7*f - v = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - q + 6399 = 0, 4*s = 2*s - 4*q + 6390. List the prime factors of s.\nAnswer: 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m**2 - 9*m + 49. Let b(d) = 10*d**2 + 16*d - 97. What is -4*b(w) - 7*x(w)?\nAnswer: 2*w**2 - w + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 5) to base 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 691 divided by -6\nAnswer: -691\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 971693832140 + -971693926832.8002367. Let q = s - -94301.8002. Let l = q + 391. Round l to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*y + 30. Suppose 0*i + 10 = 5*i + 3*l, -i + 2 = 5*l. Suppose y*q = -r + q + 15, 75 = 5*r - i*q. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (129\/18 - 2\/12)*1. Solve -5*x = -a*x - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-126454)\/(-115) + (-4)\/(-10). What is a rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**2 + 33*c + 14. Let n be t(-8). Is (8\/(-8))\/(-1*n\/8142) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -1433969.\nAnswer: -1433971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1272*m**2*s**3 - 597*m**2*s**2 + 2*m**2*s - 11*m*s - 22400*m + s**3 - s wrt s?\nAnswer: -7632*m**2*s - 1194*m**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*z - 5559333 - 6120113 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3766930 is divided by 117?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -8914, -2, -5, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 3. Suppose 0 = q*w - 1 - 62. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qz when two letters picked without replacement from {q: 2, z: 2, f: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3141 - 3128. Solve -m*w + 34 + 5 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1404*i = 1403*i - 5*v + 2, 72*i - 5*v = 1969 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68668266 is divided by 72?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3330 (base 4) to base 14\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/3*o**2 + 322\/3 - 1286\/3*o = 0. Calculate o.\nAnswer: -161, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -15.5 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5617 and 685?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4*o + 26 - 4, 2*p + 5*o = -23. Which is greater: -1\/547 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 - -2721?\nAnswer: 2708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*d**2*m*y - 136*d*m**2 + 323*d*y - 11528*m**2*y - 2*m**2 wrt d.\nAnswer: 10*d*m*y - 136*m**2 + 323*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 8:00 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100 - 64. What is the remainder when 105 is divided by b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 + 53. Solve 0 = 5*c - h, -2*a + 5*c = 2*a + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 475 by -3.\nAnswer: -475\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15048452, -15048451, -15048448, -15048443, -15048436, -15048427?\n\"Answer: a**2 - 2*a - 15048451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (51750\/396 - (-4)\/(-22))*2. What is the greatest common factor of o and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 8*j - 9*j - 23, -1 = -2*r - 3*j. Let a(x) be the third derivative of x**5\/60 + x**4\/6 + 7*x**3\/3 + 8*x**2. Is a(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 184, 2\/9, 5, -3\/2, 4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41399 is divided by 52?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**5 + 4*c**4 + 4*c**3 + 2*c**2 + 6*c. Let p(u) = 6*u**5 + 11*u**4 + 11*u**3 + 6*u**2 + 17*u. Let d(i) = -17*a(i) + 6*p(i). Factor d(j).\nAnswer: 2*j**2*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 4 - (-1 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 - 35 + 6*x - 52*x**2 + 131*x**2 + 81 - x.\nAnswer: 79*x**2 + 5*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**4\/2 + 57*k**3\/8 + 9*k**2\/8 - 51*k\/4 + 3 = 0.\nAnswer: -4, -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10868547 is divided by 257.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 49*h**3 - 5*h**2 - 23*h + 14. Let v(y) = -16*y**3 + 2*y**2 + 8*y - 5. Let m(z) = 6*a(z) + 17*v(z). Is m(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 835*m - 30900. Calculate l(37).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26.34 + 0.34. Let m = -29 - r. Which is the closest to -5\/3? (a) m (b) 0.1 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1. Let c(m) = -3053 - 3077 + 6127 - 22*m. Determine c(h) + 2*v(h).\nAnswer: -22*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 371.4365cm in nanometers?\nAnswer: 3714365000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 44*s**2 + 11*s + 11. Let y(r) = -9*r**2 - 2*r - 2. Let m(z) = -6*p(z) - 33*y(z). Let v(g) = -81 + 179 - g - 98. Determine m(v(q)).\nAnswer: 33*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 755727?\nAnswer: 3, 7, 53, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + h = 24. Suppose 0 = -h*z + 8*z - 316. Does 32 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 18.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*p = -1160, -2*s - 78*p = -83*p - 785. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3*w**3 - 20*w**2 + 20*w**2 + 3 as p + j*w**3 + q*w + m*w**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6587, 6034, 5481, 4928, 4375?\n\"Answer: -553*w + 7140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, 1, 6, 21, 1048 in descending order.\nAnswer: 1048, 21, 6, 1, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**7\/210 + f**6\/120 - f**5\/15 - f**4\/6 - 16*f**2 - 30. Let o(p) be the second derivative of i(p). Factor o(z).\nAnswer: z*(z - 2)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1473, 1472, 1471?\nAnswer: 1470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sse when three letters picked without replacement from {i: 1, e: 1, s: 1, d: 1, z: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivioomovmrmc. Give prob of picking 1 r, 1 v, and 1 i.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(4 + (-1 - 1)). Let f(m) = -m**3 - 2*m**2 - 8*m + 5. Let j be f(-5). Let v = j - 116. Solve -v*n + 12 = -g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -167 + 169. Suppose 7*w - z*w = -25, -2*x + 819 = 3*w. What is x rounded to the nearest 10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57.129 + -0.129. Let v = 13.6275 - -43.3715. Let q = n - v. Round q to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*f + 66*f = -24 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 3*f - 2*f)*(-3 + 2 + 3)*(-9*f**2 + 0*f**2 - 3*f**2 + (1 + 2*f - 1)*(0*f - f - f)) + (-1 + 2 - 2)*(f**3 - 2*f**2 + 2*f**2).\nAnswer: 31*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 2) + (-3 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -73*p + 10. Let c(j) = -3*j + 2. Let q(k) = -2*c(k) + x(k). Let y be q(0). What is the smallest value in y, 2, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**7\/840 + n**6\/90 - n**5\/30 - 2*n**3\/3 - 7*n**2. Let f(u) be the first derivative of t(u). Let f(a) = 0. What is a?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*q - 13 + 5 = 0, -4*q - 16 = -3*p. Let d be 94\/((-15)\/10*8\/(-6)). Let x = d + -41. Solve -3*b = g - 14, g = b - p*g + x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*m)*(8 + 15 - 1).\nAnswer: -44*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-58500)\/(-216) - (1 + 7\/(-6)).\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*c + 5*c + 0*c)*(26*c**4 + 16*c**4 - 14*c**4).\nAnswer: -588*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003417 rounded to 6 decimal places?\nAnswer: 0.000342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -753*l**2\/2 + 896*l - 304. Differentiate w(t) wrt t.\nAnswer: -753","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -20, 0.029, -5296?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16*(-40)\/(-2560)*-28*(-10)\/(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g - 1. Let r be y(1). Suppose t - 6*t + 5*h = -10, 2*t - h - r = 0. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 11*q - 13. Let p be c(4). Suppose 0 = k + 3*w - 13, w = 5*k - w - p. Suppose 0 = -k*r + 517 + 603. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/2 + -62 + 126\/81*9?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10680260*j**3 - 115353434 wrt j?\nAnswer: 32040780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-367843)\/(-21))\/((-8)\/3). Let k(i) = -3280*i - 2. Let v be k(-2). Let h = a + v. What is the common denominator of h and -53\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4721 + -4379. Calculate the lowest common multiple of 266 and u.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3657974*h**2 + 152913?\nAnswer: 7315948*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 - 82*u**2 + 82*u - 76. Let k be b(-42). Let f be 9*(k + -8 + 1). Calculate the greatest common factor of f and 927.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a = 20, 2*v + 8 = -2*a. Suppose -16 = 2*z - v*z - 4*i, -2*i = -8. Suppose -4*g + 12 = -z. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 9889066?\nAnswer: 69223462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 659\/1967 + -54\/281. Which is the third smallest value? (a) 20 (b) 2 (c) -0.1 (d) n (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11982\/(-8)*(-100)\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 2*g + 2. Let i be t(2). Suppose -3*a = i*d - 445, 4*a = 5*d - d - 880. List the prime factors of d.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + 5 + -1*-1*(-4*sqrt(108)*-1 + -2 + 2*sqrt(108)))**2.\nAnswer: 360*sqrt(3) + 3910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/13, -5, -2\/3, -7\/10, -1, 4 in ascending order.\nAnswer: -5, -1, -7\/10, -2\/3, 1\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 + -48. Suppose -l = 3*v + 178, -56 = v + k*l - 0*l. Let w be 2\/4*(-4 + v\/(-14)). Is w not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*s**5 - 8958*s**4 - 106569*s**3 - 353382*s**2 - 423996*s - 142632 = 0.\nAnswer: -7, -2, -6\/11, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 4, 0, -3\/17 in decreasing order.\nAnswer: 4, 4\/7, 0, -3\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/3 - (-16 + 14 + -20)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2, -3, -12, -25?\n\"Answer: -2*c**2 + c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137777*y + 184576 = 139569*y for y.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -2*c + 5, -c - u - 25 = -4*u. Let p be (-4)\/(-30)*c\/11*1. Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 5830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5ad72a (base 15) in base 16?\nAnswer: -425ac7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/65 - 139\/585. Which is the third biggest value? (a) -2 (b) 57 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f. Let a be 3 - (87\/(-6) + 12\/8). Suppose v = -7*v + a. Let g(t) = 17*t**2 - 34*t**v + 15*t**2. Give g(o(c)).\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*j = 3, -2*w + 2*j = -j - 15. Suppose 6325 = 19*i - 3935. Suppose -5*q = w*d - 530, 5*q + 8*d - 3*d = i. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1449*h**3 - 478*h**2 + 135*h**4 - 62*h**2 - 3*h**5 - 1047*h**2.\nAnswer: -3*h**2*(h - 23)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 18*z**2 + 60*z - 56.\nAnswer: (z - 14)*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**3 - 1220*g**2 - 4820*g - 4800 = 0. Calculate g.\nAnswer: -240, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485298 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*z + 5. Factor 9*b**3 - 2*b**4 + 4*b**4 + 0*b**5 + z*b**2 + 3*b**4 + 2*b + b**5.\nAnswer: b*(b + 1)**3*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 889 + -1252. Let m = -521.994 + 159.297. Let v = z - m. What is v rounded to two dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*b - 78*b = 56. What is u in -1\/3*u**3 + 0 - 1\/3*u**4 - u + 5\/3*u**b = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -7*f + 15. Suppose 625*a - 695*a + 280 = 0. Solve -2*v - 10 = -3*m, -a*v - 17 = -3*m + f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 - 39*b**2 + 52*b - 1223. Determine d(-23).\nAnswer: 1284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -796*t + 662. Is 10 a factor of o(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -2)\/((-357)\/34)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (307\/614)\/((-10)\/4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11085, 44370, 99859, 177558, 277473, 399610?\nAnswer: 543975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*y**2 + 641970*y + 8573048 wrt y.\nAnswer: -4*y + 641970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**7\/35 + 97*y**6\/80 - 123*y**5\/10 + 765*y**4\/16 - 81*y**3\/2 - 769*y**2. What is k in l(k) = 0?\nAnswer: 1\/4, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 23*j - 57. What is o(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 88*q**3 - 2*q**2 + 47*q - 216. What are the prime factors of i(7)?\nAnswer: 13, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 16 - 2 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12843.941 - -1?\nAnswer: 12844.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2706.9999801 + 2707. What is o rounded to seven dps?\nAnswer: 0.0000199","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 2*h + 1. Let k be n(-2). Let p = 12.9 + -1.9. Let z = p + -8. Does k = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1357, -2713, -4069, -5425, -6781?\nAnswer: -8137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 67*b. Let q(z) be the first derivative of 64 + 403*z + z**2 - 403*z. Determine q(r(w)).\nAnswer: 134*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 35443.7 * 70\nAnswer: 2481059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237569 is divided by 33?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26509 + -15799369\/596. Let y be 54882\/(-8940)*6\/4. Let k = y - l. Calculate the common denominator of 61\/51 and k.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17623657, -17623662, -17623667, -17623672?\n\"Answer: -5*x - 17623652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1494 by -5.\nAnswer: -1494\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 69 = -449*w + 444*w, -4*w = -5*v + 45. Is 3 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*a = -46*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -1, 7, -2, -1373 in increasing order.\nAnswer: -1373, -2, -1, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7624\/(-5460) + 56\/40. Which is the fourth smallest value? (a) -4\/7 (b) 0.3 (c) -2\/13 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/8, 3, -0.6, 3\/7, -6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 967\/8 + -121. Which is the closest to 2? (a) -4 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in decades?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 p when four letters picked without replacement from {p: 1, d: 11}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 101331185*s**2. Let g(m) = m**2. Calculate w(g(y)).\nAnswer: 101331185*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(52))*-6 - 1*sqrt(3328)) + -5 + sqrt(104)\/sqrt(8) + 3 + sqrt(1573).\nAnswer: -16*sqrt(13) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116 + -116. Solve n - 2 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 2*v + 5 = -5*v, 0 = -4*k + 4*v + 20 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**6\/360 + y**5\/24 + y**4\/6 + y**3\/3 + 1. Let u(a) be the third derivative of o(a). Suppose -4*t = -2*t + 10. Give u(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -14*g - 11. Give j(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323 + 118 = -s + n, 0 = 4*s + 3*n - 792. List the prime factors of s.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23575102*n + 47183509.\nAnswer: -23575102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2584063?\nAnswer: 109, 151, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 430 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24451888?\nAnswer: 2, 1528243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 6 = 0, 0 = -3*b + 3*z - 2435 + 2426 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4519)\/(-5) - 22*(-16)\/(-440). Is i != -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, u: 3, v: 5, t: 2}. What is prob of sequence vtu?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 14*o**2 + 95*o + 4. Let a be s(19). Suppose -2 + 7 = -5*v. Is v >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 314207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 1 (c) 2\/17 (d) 13\/94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) 0.3 (b) -33 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + k - 26, 5*d + 2*k = 2*d + 466 - 425 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -153406, -306810, -460218, -613630, -767046, -920466?\n\"Answer: -2*c**2 - 153398*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l**2 + l + 1. Let b be y(-7). Suppose -3*g = -j + b, -g - 588 = -2*j + g. Suppose -5*d + 2 + j = k, -d + 56 = 4*k. Does 20 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 606 divided by -1?\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 549103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m - 12 = -11*m, m = 4*h - 9455. Calculate the highest common divisor of h and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - i)*(15*i - 37*i - 121*i)*(10*i**3 - 5*i**3 + 3 - 5).\nAnswer: 715*i**5 - 286*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8465 + 13*x**2 + 4172 + 4127)*(-2*x + 1 - 1).\nAnswer: -26*x**3 + 332*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert c189 (base 14) to base 5.\nAnswer: 2030440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*s + 791, -44*s + 42*s - 10 = 0. Suppose 8*m - 2592 = b. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + n - 2. Let k be u(0). Is (-2 - -32) + k + 2 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*d - 11. Let q(x) = -3*x + 4. List the prime factors of q(d).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 19. Let y = -18 + 41. Calculate the remainder when y is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 317 - 307. Suppose 66 = x*a - 5*a - 4*m, 3*a + 3*m = 45. Solve 2 = -4*l + a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/1*-1)\/(1428\/(-1904)))\/((-238)\/(-2856))\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**4 - 64*b**3*i - 3083939*b**3 - 64*b**2*i + b*i - 737886 wrt b?\nAnswer: 24*b - 384*i - 18503634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -3*u**4\/4 - u**2 - 2*u - 15. Let i be z(-1). What is the units digit of ((-2)\/i)\/((-42)\/945)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibbmjef. What is prob of picking 1 e and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -284, -285, -286, -287, -288, -289?\n\"Answer: -l - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10877 and 35313.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1464914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.129 + -1.469. Let q = -0.36 + j. Let d = 0.3 - q. Sort d, 3\/8, -5 in decreasing order.\nAnswer: d, 3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*r - 2. Let u(k) = 3*k**2 + k - 1. Let v be u(r). Solve -v*s = -0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*u - 3158 = -9332. What is the remainder when 390 is divided by u?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -115, -185, -245, -295?\n\"Answer: 5*k**2 - 85*k - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58\/7 + -283\/35. Let v(z) = -2*z**2 - 133*z - 553. Let a be v(-62). Suppose -2\/5*m**3 + 1\/5*m**a + 1\/5*m + h - 2\/5*m**2 + 1\/5*m**4 = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 37 + 31)*(-3*p**2 + 4*p**2 - 2*p**2)*(2087 - 2085 - 5*p + 12*p**2 - 4*p**2) to v + w*p + k*p**3 + b*p**4 + c*p**2 and give b.\nAnswer: -472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 16. Let b be g(28). Suppose -300 = -b*i - 84. Suppose 0 = -f - 4*q + 47, -4*q + 0*q = 5*f - 155. What is the greatest common divisor of f and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 295770944*x**5 - 374124013*x**2?\nAnswer: 17746256640*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0191256 rounded to three dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5 = 0, 5*h + 0*h + 157 = -3*y. Let l be 2\/11 - 168\/y. Solve 0 = -3*t + l*t - 4, 2*a = -2*t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11198, 5, -390 in decreasing order.\nAnswer: 5, -1, -390, -11198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9 + 0.9. Let a = j + 2. Let u = -0.0000036 - a. What is u rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2) - (sqrt(50) + -5)**2).\nAnswer: -300 + 204*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4 + 9. Sort u, -2\/13, 3, 1\/2.\nAnswer: -2\/13, 1\/2, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -367653317*v**3 + 444*v + 470268.\nAnswer: -2205919902*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 621 - 18*v - 621 + (1 - 3 + 1)*(0*v - v + 2*v) + 2*v + v - 2*v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 + 412*o + 47 + 41 - 137.\nAnswer: 412*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -0*k + 5*k + 83, -4*k + 39 = 3*q. Let w be (-8)\/(-68) - (-933)\/q. Suppose -2*m - 4*l = -5*m + 189, -w = -m + 4*l. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2\/7 + 645305436*t\/7 - 52052388216393762\/7 = 0.\nAnswer: 161326359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 9*g + 94. Let p be w(-10). Is (3 - 4)*(p - 298) + 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 82, 52?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 141*x - 700. Give o(-6).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*f - 5*f**3 + 9*f + (-f + 3*f - f)*(3 + 1 - 5)*(f**2 - 2 + 2).\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9439087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 3451\/145 - -19\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/80575257 and 13\/952?\nAnswer: 644602056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 5*a + 7. Let r(d) = -d**2 - 5*d + 7. Let i(o) = -4*r(o) + 5*u(o). Determine i(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52.7 - -47.7. Which is the closest to -1? (a) n (b) -1 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 2, 35427, 27 in descending order.\nAnswer: 35427, 27, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 331 + -181. Let d = a + -149.32. What is d rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i**4 - 4*i**4 + 6*i**4)*(2*i - i - 3*i) + 3*i**5 + i**4 - i**4 - 3*i**3 + 3*i**3 + 5*i**5 + 0*i**5 - 6*i**5 - 2*i**5.\nAnswer: -18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -9. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -200963039 + 97133039. Round i to the nearest 1000000.\nAnswer: -104000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1205*g*u - 137369*g - 7*u - 212984 wrt g?\nAnswer: 1205*u - 137369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -1. Let x(w) = 2*w + 4. Let g be (-175)\/49 + (-4)\/(-7). What is g*d(n) - x(n)?\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 954, -43.\nAnswer: -43, 2, 954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7.357789 times 0.022\nAnswer: -0.161871358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/4, -287.3151, 2\/3 in increasing order.\nAnswer: -287.3151, -3, -1\/4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187, -382, -587, -802, -1027, -1262?\nAnswer: -1507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-18)*(-4)\/((-32)\/267). Let x = f + -22. What is the third biggest value in -0.01, x, 0.3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -5\/33 (b) -82 (c) 2\/11 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.79 to 0 decimal places.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*x + 48*x + 278*x.\nAnswer: 502*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11461146 to the power of 1\/2, to the nearest integer?\nAnswer: 3385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18, 3\/5, 0, -2\/9.\nAnswer: -2\/9, -0.18, 0, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 732 divided by 4\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*u = -81*u - 20. Let l be ((-20)\/(-8))\/u*0. Which is smaller: 2\/123 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8501 is divided by 230?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60862379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 0*c + 20. Suppose -2*b + 18 = -4*d - 44, 3*b = 3*d + 99. Let o be b + 2 + -3 + -2. Solve 0*f + 5*i + 1 = -4*f, -5*f + c*i = o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -2\/5, -1481, -1.2?\nAnswer: -1481","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1809 divided by -1.\nAnswer: 1809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 - 128*h - 5. Is b(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15483904.25 from -1173.\nAnswer: 15482731.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, q: 5, y: 5}. What is prob of picking 1 y and 3 q?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.55 - 7.55. Let k(j) = -2*j**3 + 16*j**2 + 19*j - 8. Let w be k(9). Which is the fourth biggest value? (a) q (b) w (c) 2\/11 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 5. Which is the biggest value? (a) -4 (b) w (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 135*r + 394. Give k(138).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -1 (c) -0.195 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 16. Suppose -4*a - g = 0, 3*a - 20 = -r + 5*a. What is the highest common factor of r and 180?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31792 and 1000.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*q = -m + 21, -q = -4*m. Suppose 5*p = -4 - m. Which is bigger: 2\/5 or p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u = -0*u + 12690. Suppose -348 = -2*r + u. What are the prime factors of r?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 23220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35623493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68903881.\nAnswer: 563, 122387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 12:27 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36.3 - -37.456. Let y = 280.344 + q. Round y to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kflvaqfa. What is prob of picking 1 k, 2 f, and 1 v?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 6:44 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1203, -1471, -1911, -2517, -3283?\nAnswer: -4203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3835 (base 9) to base 16.\nAnswer: -b33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 71392 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -651, -1012, -1373?\nAnswer: -1734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/(-8) + (-3)\/4. Find the second derivative of -4*f**3 - f + 4*f + t*f wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 11 - (0 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-179)\/20764*-812 - ((2 + -7)\/(-1) + 0). Factor 1\/2*p**4 + 3*p**n + 1\/2 - 2*p**3 - 2*p.\nAnswer: (p - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 5*i - 5*w = -20, 0 = 4*w - 16. Solve -9 = 5*h + 3*f - f, 4*h + 5*f + 14 = i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 9. Suppose u*r = 18 + 37. Solve 5*z - 14 - r = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20807, -83217, -187231, -332849, -520071?\n\"Answer: -20802*q**2 - 4*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -5*p**4\/12 + 925*p**3\/6 - 460*p**2 + 8*p - 65. Determine v so that x(v) = 0.\nAnswer: 1, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**4\/4 + 3*j**3 - 3*j**2\/2 + 2*j - 548. What is i(-9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -88207780 from -4.\nAnswer: 88207776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*f - 20. Suppose f*b + d = 3*b + 221, 3*d = -5*b + 285. Let l = b - 32. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91 + -97. Let u be (-3)\/((150\/(-18))\/((-2)\/d)). Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 - 0 - -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 10*q**3 - 99*q**2 + 15*q + 40. Let j(w) = 3*w**3 - 33*w**2 + 5*w + 13. Let u(b) = 2*a(b) - 7*j(b). Is u(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 7, -558, 4\/89, 0.3, 5?\nAnswer: 4\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85\/62 - -4\/31. Let n be (-10)\/(-8) + (-2)\/8. Factor -v*b - n - 1\/2*b**2.\nAnswer: -(b + 1)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8552 + 19*n**2 + 8552.\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 66 = 16*d. What is the remainder when 40 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302 = 19*m - 17 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -13. Suppose 0*k - d*k = -16668. Is k\/11 + 8\/44 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or -16468535?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/(-1*sqrt(7)))\/((sqrt(60)\/sqrt(3))\/sqrt(4)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -b + 7, -5*b + 8*g = 4*g - 19. Suppose 4*m - 9 = w + 6, -2*m + b*w + 5 = 0. Solve 7 = -m*k - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.072731 rounded to 1 dp?\nAnswer: 54.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1424128*h**5 + 2*h**2 - 20*h + 2028.\nAnswer: 85447680*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (42\/4)\/(-7)*2. Let i be (2 + -6)*b\/18. Let r = -8 + 8.3. What is the second biggest value in i, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -4*c + 5, -45*c + 50*c = 5*o + 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 14402\/266 + (-12)\/(-14)?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from imffma.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by -2490.\nAnswer: -5\/498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xexxddxxxxexeedx. Give prob of picking 1 e and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 22. Which is the second smallest value? (a) w (b) -1 (c) -5 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*c + 800 - 2252, -3*c + 867 = -v. Find s such that -428*s - 8*s**4 + 104*s + c*s**2 - 491 + 104*s**3 - 4*s**5 - 589 = 0.\nAnswer: -3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 310\/(-31)*2\/(-8)*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3105 - -717506?\nAnswer: 722613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 873480 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: Calculate the highest common factor of 18 and 351.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 9:17 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Let j = -49.1 + 46.1. Put j, 3, x in ascending order.\nAnswer: j, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107.44 + -90.8. Let k = -16.4398 + a. Let x = 0.2 - k. Round x to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 246604, 493213, 739822?\n\"Answer: 246609*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5 - 15. Let k be -1*(3 - (-9)\/z). Which is the closest to 3? (a) -2\/9 (b) 4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1629, -3266, -4903, -6540, -8177?\n\"Answer: -1637*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 497\/85237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 327.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 - 2*x**3.\nAnswer: -2*x**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 650252587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 168\/9*(-72)\/(-42). Solve -3*m = 5*m + s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 173.57082 nanoseconds?\nAnswer: 0.000000002892847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 + 4*f - 8. Let a(m) = 3*m**2 + 4*m - 8. Let b(l) = 3*a(l) - 4*d(l). Suppose q - 6*q + 55 = 0. What is the remainder when b(6) is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28137676.\nAnswer: 2, 7, 1004917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 42*u - 4. Suppose -25 = m + 4*m. Let t be s(m). Is 2\/(-4) - t\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-147 + 164 - (-5 + 0 + 41)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-6) - 13\/(-3). Let a(p) = -3 - 5 - 692*p**2 + 4 + 694*p**2 - 5 + p. Calculate the remainder when 78 is divided by a(b).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5998, -5885, -5774, -5665, -5558, -5453, -5350?\n\"Answer: -d**2 + 116*d - 6113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37907 is divided by 3443?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19276, 19312, 19348?\nAnswer: 19384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 11 + 1 + -4. Suppose -q*l + 2*n + 204 = -3*l, -5*n = 10. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 1100?\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -714 divided by -6\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*j = -136*j - 27*z + 24*z + 45, -3*j - 15 = -3*z for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5257704 - 6?\nAnswer: -5257711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 78376436 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*sqrt(275) - sqrt(44)\/(sqrt(144)*3).\nAnswer: 1619*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -86. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -260*l + 281*l - 126. Solve 15*x = 2*w + 14*x, -5*w - l = -x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 - 0.3. Let f = 1070 - 1066.84. Let s = f - 3.06. Which is the second smallest value? (a) s (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/4)\/((-2)\/(-8)). Suppose -3*g + 150 = f*z + z, 5*g = -2*z + 241. Let t = 75 - g. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffr when three letters picked without replacement from frgjfj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -266217, -266203, -266179, -266145?\n\"Answer: 5*z**2 - z - 266221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (90\/(-3))\/(-2). Let b be 1 + (k - (-8)\/(-4)). Which is smaller: b or -15?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29869727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1186 is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, q: 9}. Give prob of picking 2 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 15*a**2 + 7*a. Let v(g) be the first derivative of -5*g**3\/3 - g**2 - 7. Calculate 2*q(n) + 7*v(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 1352 = 13*g. Calculate the remainder when g is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17929 is divided by 247.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29653142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 40?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -481817790 divided by 3.\nAnswer: -160605930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 6 - (-24 + 17).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/94 at most 76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1450935 and 2.\nAnswer: -2901870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**3 - 20*o**2 + 2106*o - 18797. What is c(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-4 - 2) + 1*(-11 - -10)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -1) + 3 + 1. Suppose -896 = -i*q - q. Let n = 387 - q. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -98*a**4\/13 - 476*a**3\/13 + 990*a**2\/13 + 7616*a\/13 + 9248\/13 = 0. What is a?\nAnswer: -4, -17\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -72) + -36 - 33.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, d: 3}. What is prob of sequence add?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 45277976 to the power of 1\/2, to the nearest integer?\nAnswer: 6729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.1286942 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o + 5 + 3*o + 0 + 3*o. Let z be j(6). Let r = 1 - z. Solve h = -r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*i + i**3 + 26*i**2 - 23*i + 2*i**4 + 0*i**3 - 16*i - 24*i in the form o*i**2 + y*i**3 + s + c*i**4 + j*i and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1833078?\nAnswer: 2, 3, 13, 71, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -85*b + 222 - 33. Solve -21 = -b*l - 3*u, -21 = l - 4*u - 13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.758 less than 0.587?\nAnswer: 47.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s = -24*s. Suppose s = -7*f - 3 + 17. Solve f*z + 5*t + 10 = 0, -2*t - t = 4*z + 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -538, -2191, -4956, -8833, -13822?\nAnswer: -19923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 175 by -2.\nAnswer: -175\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-35)\/28*(-16)\/(-10). Let d(r) be the first derivative of 0*r - 4\/3*r**3 + 8 - m*r**2. Factor d(s).\nAnswer: -4*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*o. Suppose 34*k - 36*k + 216 = o. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 + 11?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, z: 3}. What is prob of sequence rzrr?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -4. Is h < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -61316392 at most as big as -61316392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (183*i - 85*i - 84*i)*(-i - 3*i + 2*i)*(-2126 + 2*i + i + 2215) in the form v*i**2 + h + q*i + d*i**3 and give d.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -687.5 and 0.0317.\nAnswer: -687.4683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -201498 or -201563?\nAnswer: -201498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*o - 360 = -100 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4)\/(((q\/(q**(-1\/3)*q))\/q)\/q)*(q**(-1))**(-27)*q**6*q*q*(q\/(q*q*q**(-4\/5)\/q))\/q*q*q*(q*q**(-5))\/q**(-5) assuming q is positive.\nAnswer: q**(532\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17918374?\nAnswer: 2, 17, 47, 11213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 3*q - 1 + 12 + q + 4*q. Calculate the lowest common multiple of f(9) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120 + -104. Let x be (18\/12)\/(38\/f + -2). Calculate the greatest common divisor of 28 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.04683 - 0.04683. Let k = -10.11 - -0.11. What is the biggest value in k, q, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3221*s - 16 + 31 - 20 + 5 in the form b + t*s and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1*z)\/z**1)\/(z**(-2\/3)*z)**(9\/2) assuming z is positive.\nAnswer: 1\/sqrt(z)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/45)\/((-6)\/(1 - -2)). Put a, 0.2, 5 in decreasing order.\nAnswer: 5, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*w - 20*w + 39*w + w**2 - w**3 to the form x*w**3 + j*w**2 + q*w + l and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 8*q + 30 = 0. Let z be (-2)\/(-10) + (-9)\/(-5). Solve 2*c + 2*f - q = -0*c, 0 = -z*c + 5*f + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/1470*238)\/((-1)\/3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13550.7 - -13550.8. Let q be (-4)\/15 - (-4)\/6. Let c = 0.3 - 0.4. What is the nearest to y in c, q, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1176793, 2353561, 3530329, 4707097, 5883865?\nAnswer: 7060633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2466*r = 2513*r - 6455 + 1755 for r.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1556 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(-2\/5))\/k)**(1\/5))**(2\/85))**(2\/33) assuming k is positive.\nAnswer: k**(8\/70125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5732 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, k: 6, d: 4, n: 4}. Give prob of picking 1 x and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/126 and 12\/(6048\/83) + (-2)\/(-9)?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**4\/6 - 13*x**3\/6 - 3*x**2\/2 - x. Let o(q) = -q**2 + 15*q - 42. Let l be o(3). Let r be c(l). Which is bigger: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 913*h + 20*h**2 - 913*h.\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*i = 7558, 788 + 2236 = 2*n + i. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**3 - c - 4. Let v be u(-2). Suppose 8 + v = 3*s. What is the smallest common multiple of s and 4\/6*6*1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22308 is divided by 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6131 + 0.1131. Let y = -71 + 68. Which is the third smallest value? (a) n (b) y (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = x + 4*q - 1, -2*q - 122 = -3*x. Sort x, 5, -3, 3.\nAnswer: -3, 3, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence enb when three letters picked without replacement from {e: 1, n: 1, m: 1, w: 1, b: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 2*t + 8, -3*t + 5*m = 4 + 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1687292289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 16 (c) 2\/4791 (d) -2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -363a74 (base 12) to base 16.\nAnswer: -d6438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -o + 4*u - 19, 9 = -o + 2*u. Let b(l) = 5*l**2 + l**2 - 6*l - 5 - o + 3 - l**3. Does 2 divide b(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6646 + 3513.4\nAnswer: -3132.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -10*l + 34. Solve 7*f - l*f = 32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22458 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9338.\nAnswer: 2, 7, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(6\/(-9)*3). Suppose i = -2*p - 5*p + 91. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6690231413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q - 16. Let w be u(9). Solve -5 = w*f + 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 904943 is divided by 645?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -13. Let z = -251 - -249. Put z, 0, o in increasing order.\nAnswer: o, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 4*q + 0*q)*(51 - 51 - 4*q**2)*(-55 + 30 + 5*q + 27).\nAnswer: -40*q**4 - 16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - o**2 - 3*o - 1. Let b(w) = 6*w**3 + 7*w**2 + 14*w + 3. Let g(j) = b(j) + 4*i(j). Determine g(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -2\/17, -2, 1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from gmpgpgppagp.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (72\/(-48))\/(26\/(-20) + 1). Suppose 3*s - i*s + 3*g + 40 = 0, -4*s = -3*g - 80. Differentiate s*r + 0*r - r + 3 with respect to r.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/(((-20)\/2)\/40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 - 366850*g**2 + 7703387*g + 8070238.\nAnswer: (g - 366829)*(g - 22)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18286 and 8474?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2462*l - 11968. Give d(5).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -481.1 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-4) + -9 + 1. Let b = 23\/4 + u. What is the nearest to -1\/3 in 1\/2, b, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-6 - 5 + 2)*(-3 + 3 - 4) + (-4 + 3 - 1)*(-4 - 1 + 4)*(-4 + 2 + 0))*(-129*n**3 + 324 - 324) in the form b*n + k*n**3 + h + c*n**2 and give k.\nAnswer: -4128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 34 = -5*i, 0 = -70*d + 65*d + 4*i + 191. What is the greatest common divisor of 286 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**3\/3 - 2*b**2 + 15*b + 236. Let y be q(-6). Factor -63\/4*i**2 + 441\/4*i - 1029\/4 + 3\/4*i**y.\nAnswer: 3*(i - 7)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) -2 (c) -2\/19 (d) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5103)*6)\/(sqrt(54)\/(sqrt(48)\/sqrt(8))).\nAnswer: 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 + -49. Let o = -27 - -45. Calculate the smallest common multiple of o and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4869667, 1, -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*30\/900*6\/(-26).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 3:47 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4\/3 - 120*c**3 - 2438*c**2\/3 - 912*c + 5536\/3 = 0 for c.\nAnswer: -173, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 - 11*h + 9. Let n(i) = i**2 - 1. Let b(y) = 3*n(y) - p(y). Let o be b(9). What is the tens digit of (-1 + o)\/((-2)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 13 - 1 = 0. Find the second derivative of 56*r**4 - 10*r + t + 23*r + 38*r**4 wrt r.\nAnswer: 1128*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -64*g**2 - 28*g**2 - 44*g**2 + (-4*g + 0*g + 2*g)*(8*g - 3*g - g).\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -147*a + 7936. Determine z(54).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = c - 3. Let a be -31*2*-5 + c. Suppose 4*g + t - a = 2*g, -2*t - 4 = 0. What is g rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/3)\/(4\/6). Let a(k) = k**3 + k**2 - 2*k + 1. Let x be a(-2). Sort x, n, 2 in descending order.\nAnswer: 2, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - (0 - (-6 + 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13*(-129)\/(-516)*(-2)\/2\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 5*l = -0*a + 4*a + 4 - 0, 2*a + a - 7*l - 5 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.45985.\nAnswer: -1.8394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -2) + 7 - 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y + 7. Let p be k(-11). Suppose -14*c = -19*c + p. Suppose 0*i + c = 2*i. Solve -2*z + z = -i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46 and 1917.\nAnswer: -88182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.324173*-162.\nAnswer: -376.516026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2543 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n + 5. Let d(h) = -h - 2. Let g(y) = 5*d(y) + 2*f(y). Determine g(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55979261 is divided by 264053?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 12:02 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*g - 3365 - 3709 = 344*g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.08\nAnswer: 0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 14*l + 178. What is i(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20.85 - 22.1. Let f = 1.25 + a. What is the closest to f in -3, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10777 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-2\/5)\/p)\/p**(3\/14)*p**(-9)*p**27)**33 assuming p is positive.\nAnswer: p**(42471\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 - 2*j + 3. Let w be f(3). Suppose w*m - 36 = 17*m. Let n(t) = -t**3 - 15*t**2 + 40*t - 14. List the prime factors of n(m).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 3*m - 3*m)*(-419*m + 0 + 1052*m + 0).\nAnswer: -1266*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2068 and 302266.\nAnswer: 302265.7932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + -1)\/(-1) - -3. Let c(b) = b**2 - 4*b - 4. Let o be c(u). Calculate the highest common divisor of o and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.9 * 0.73\nAnswer: -8.687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1150043*p + 575011*p + 2 + 575008*p.\nAnswer: -24*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 42840\/231 + 9 + (-6)\/(-11). Let o = 82 - -38. What is the highest common divisor of a and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 32*r**3 - 4*r**2 - 2*r - 1. Let b(v) = 31*v**3 - 5*v**2 - 4*v - 2. Give -2*b(c) + 3*t(c).\nAnswer: 34*c**3 - 2*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -6*o - 2. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -60, 204, 464, 720?\n\"Answer: -2*g**2 + 270*g - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4253\/(-3)*72\/(-40). Let q = o + -1632807\/640. Find the common denominator of q and -79\/16.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + (-3 - (3 - -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 46*d - 137. Give h(28).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*q + 17*q - q**3 - 7 + 8 to y*q**2 + j*q + r + h*q**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 12*u**2 + 91*u - 102.\nAnswer: -(u - 17)*(u - 1)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(187) + (1*sqrt(187) - sqrt(187))*3)*-5)\/(sqrt(121)\/(-3*sqrt(11)) - 6*sqrt(11)*2))**2.\nAnswer: 15300\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-26 + 39 - (0 + -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(140) - 6*sqrt(140)*-2)\/(sqrt(448)*-2 - sqrt(7)))\/((3*1*sqrt(72))\/sqrt(2)))**2.\nAnswer: 845\/23409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/8400 and 109\/52066.\nAnswer: 31239600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxghextghxcxexh. Give prob of picking 1 c, 1 g, and 1 e.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 2. Suppose 0 = z - 4*o + d, -o = 2*z + o - 22. Let y = 13 - -6. Calculate the remainder when y is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 99 + 51 = 0. Suppose i + 0*i - x = 0. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 243, 8\/7, -4, -51?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/3584468 and -3\/22.\nAnswer: 39429148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14552 + -4187.6?\nAnswer: 10364.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -149 or -154?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/3265 and -29\/50.\nAnswer: 32650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -195, 19.\nAnswer: -195, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 338 = -70. Is f smaller than 66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 14. Let j(y) = -4*y**2 - 7*y + 5. Let g(o) = -3*o**2 - 7*o + 5. Let d = 30 + -25. Let f(q) = d*g(q) - 4*j(q). Calculate f(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 8 + 11*p**3 - 4*p**3 + p - 3*p**3 to r*p + f*p**2 + i + k*p**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bttttttttttkl. Give prob of picking 2 t, 1 b, and 1 k.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -858*-0.23.\nAnswer: 197.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54\/1445 - 792\/674815. Let l = f + -19721\/9340. What is the common denominator of (-6)\/64*194\/3 and l?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33\/14, 0.05, 0.1 in ascending order.\nAnswer: 0.05, 0.1, 33\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0051 - -0.9949. Let b(g) = g**2 + 2*g - 7. Let j be b(-8). Is j greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jsss. What is prob of sequence jsss?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 4*f + 2. Suppose j - 8 = -2*x - j, -3*x = j - 14. Suppose 0 = -2*b - x - 3. Calculate r(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -243*f + 477*f - 232*f + 3 - 22*f**3 in the form v + g*f + x*f**3 + s*f**2 and give x.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**18)**(-3\/5)\/(b**(-4\/3)\/b*(b**(1\/42)\/b)\/b) assuming b is positive.\nAnswer: b**(-1363\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**5\/160 - d**4\/96 + d**3\/24 + 16*d - 1. Suppose i(s) = 0. What is s?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 4 + 1\/2*i**2 - 13\/3*i**3 - 4*i. Let o(u) = -4*u**2 - 1. Determine 2*h(c) - 7*o(c).\nAnswer: 2*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 119 and 122 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 11280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10047 - -6747. Round y to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/48*4)\/(-3*9*90\/243).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 6*h + 5. Let l = 418 + -218. Let r = l - 197. Calculate v(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**2 + 0 + 0*v**4 + 0*v + 0*v**3 - 1\/20*v**5. Let s(q) = q. Calculate s(h(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6350996537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 8*z**2 + 11*z + 12. Let f be s(9). Let p = f - 7. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 31. Let p be v(-9). Let g = p - 37. Solve 0 = -2*x - g*x - b - 13, -5*x + 3*b - 1 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -28.4, 13, 0.1, 1\/3 in decreasing order.\nAnswer: 13, 3, 1\/3, 0.1, -28.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -21?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33185979*c**3 + 33185965*c**3 - 99557897*c**3 + 33185956*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vllllvllleoeoolo. Give prob of sequence lolv.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbbbhzhb. Give prob of sequence hhh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95 + -78 - (2 - (-22 + 12)) - 101.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*1*-2 - 5*4*sqrt(117))\/((sqrt(81) + (2*sqrt(81) - sqrt(81) - sqrt(81))*-4)\/(sqrt(9) + (sqrt(225) - (sqrt(225) + sqrt(225)*-2 - sqrt(225))))).\nAnswer: -352*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1588469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*l**3 - 143*l**3 + 12 + 72*l**3.\nAnswer: 9*l**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37*r + 3*r - 45*r)*(5*r**2 - 7*r**3 - 5*r**2) to w*r**4 + k*r**2 + y*r**3 + z + b*r and give w.\nAnswer: 553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -34135*l. Let f(k) = -4*k. Calculate m(f(d)).\nAnswer: 136540*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1079 + -9653\/9. Calculate the common denominator of 1*2*(-92)\/16 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**2*y**3 + 142*t**2 + 2*t*y**2 + 1981*y**4 wrt y.\nAnswer: -6*t**2 + 47544*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpnc when four letters picked without replacement from txphcxnc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 33 = 6*y. Let r be ((y\/(-2))\/(-5))\/(117\/(-3432)). What is the greatest common factor of r and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 3. Let c(f) = -f + 2. Let h(b) = 4*c(b) + 3*p(b). Let l(w) = 630 - 559 - 65 + 3*w. What is 4*h(r) + l(r)?\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -i - 0 - 1, 35 = -5*i - 15*x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.447 - -3.427. Which is the second smallest value? (a) -15 (b) l (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58730, -234879, -528450, -939443, -1467858, -2113695?\nAnswer: -2876954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4933 is divided by 103.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -34*p - 45. Let g be r(-10). Suppose 263 = -4*l + g. What is the least common multiple of 52 and l?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -854, -852, -850, -848, -846?\n\"Answer: 2*a - 856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-8)*(-208)\/91. Let r = 0.1 - 0.1. Sort -3, k, r in descending order.\nAnswer: r, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1940, -3888, -5836?\n\"Answer: -1948*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 > -80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 1:40 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 7. Suppose -5 = 2*m - 9. Suppose -p - c = -5, -m*c = -5*c. Solve -k + p = -u*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhc when four letters picked without replacement from iswwhiiiwihichhsc.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74724102?\nAnswer: 2, 3, 23, 199, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 925 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, x: 1, p: 4, e: 6, l: 3, d: 1}. Give prob of picking 2 e and 1 p.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(2 + 30\/(-16)). Let q be 32\/j + (-4)\/2. Suppose -i = -q*w - w - 262, 2*w + 1046 = 4*i. List the prime factors of i.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 + 329. Is a a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 20. What is the second smallest value in -1\/3, l, -2\/7, -1\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9237ba8 + 16?\nAnswer: 9237bc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*s**2 - 5099104*s\/9 + 41968\/3.\nAnswer: -4*(s + 15738)*(81*s - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.9 - -19.9. What is the nearest to 0.1 in -1\/3, t, -6\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (11 - -2 - (10 + -2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3456 greater than or equal to -3460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1219226?\nAnswer: 2, 609613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 8) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/68 + -251\/476. Let g = 0 + 2. Let v = g - 6. Which is the third biggest value? (a) -3\/4 (b) d (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -48379 and -10.662.\nAnswer: -48389.662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/290 and 7\/40310.\nAnswer: 40310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 241*f - 4. Let t(d) = -1857*d. What is t(g(n))?\nAnswer: -447537*n + 7428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6485 is divided by 810.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25564 + 82172. What is the ten thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.02 (b) -2\/7 (c) -0.09233\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -5, -31, -5\/29, 61?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 1:21 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewq when three letters picked without replacement from eqqqccqw.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/583099 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, m: 2, v: 2}. Give prob of sequence md.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97938*t**4 - 21*t**3 - 2460894*t**2?\nAnswer: -2350512*t - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 27, -45, -189, -429, -789, -1293, -1965?\nAnswer: -2829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19667 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 272 + 206 = 5*c, -464 = -5*c - 3*x. Let z(a) = c + 3*a**2 - 2*a**2 - 49 - 63. Is z(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 774, 690, 544, 330, 42?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14984 = -17*c + 469. Suppose -l - c = -x, x - 5*l + 0*l - 917 = 0. What are the prime factors of x?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**3 - 7*n**2 - 6*n - 9. Let y be f(-7). Suppose 741 = 2*z - y. Suppose -6*t + 944 = -z. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73 + 130. Let d = -41 + u. Calculate the least common multiple of d and (-3)\/2*2*-4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*x = 30*x + 1668. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 4*h + 315, 0*u - 4*h - 105 = -u. Calculate the remainder when u is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12613 take away -121.411?\nAnswer: 121.53713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5423 take away 6.2?\nAnswer: -6.7423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427040 is divided by 159?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 760423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*b + 6. Suppose 0 = m + 3*m - 20. Let n = m - b. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 104 (b) 19 (c) -3\/5 (d) 1.6 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 832142 * -5.\nAnswer: -4160710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, x: 2, i: 2, c: 1}. Give prob of sequence lxc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8921*r**3 - r**2 + 2000*r wrt r?\nAnswer: 53526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4028985.\nAnswer: 3, 5, 89533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 - -71. Which is the closest to 0.4? (a) g (b) 1\/2 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 - 3*q - 26. Let l(o) = -o**2 - o. Let h(k) = -5*l(k) + r(k). What is the hundreds digit of h(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 4*x + 18 = 0, 0 = 5*x - 106 + 86 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Is -267148 at most -267149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.77 - -1.23. Let f = 5.69 + -5.79. What is the fourth smallest value in -2\/57, u, -2, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3\/3350, -5 in increasing order.\nAnswer: -5, -0.5, 3\/3350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 740814228 by -82312692.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Suppose 3*i - 9 + 3 = c. Let b(s) = -3*s**2 + s**i + 6*s**2 - 2*s**2. Let r(w) = 2*w**2. Determine r(b(a)).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2945\/2 + 1505. Find the common denominator of -7\/2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p**2 - 41*p + 78. Is o(10) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, u: 1, e: 1, v: 1, a: 1}. Give prob of sequence sve.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -12, -0.9, -2 in descending order.\nAnswer: 1\/4, -0.9, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*102\/34?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2296 - 253?\nAnswer: -2549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -13*f**2 + 710*f - 4128 = 0.\nAnswer: 86\/13, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 15*m**3 + 5*m**2 + 36*m + 34. Give f(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6662, 26661, 60000, 106685, 166722, 240117?\nAnswer: 326876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - j - 3*j)*(3 - 3 - 17*j**2)*(-3*j + 3*j**2 - j**2 + j - 1).\nAnswer: 204*j**5 - 204*j**4 - 102*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -15 (b) -5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -136*k + 139*k + 3. Which is the nearest to k? (a) -2\/19 (b) 2 (c) -415\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.44 - 813\nAnswer: -813.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*v + 36, 5*o - 165 + 65 = -5*v. Suppose -3*n + 182 = -n. Calculate the remainder when n is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1829789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7022 = o - 5*u - 1353, -4*o + 2*u = 22640. What is o rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1142323 (base 5) to base 9.\nAnswer: 32546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 10 + 48*n**2 - 4*n - 49*n**2 - 7*n. Let r be i(-10). What is the highest common factor of 30 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**3\/9 + 796450*c**2\/9 + 26428799378*c\/3 - 114539753354 = 0.\nAnswer: -199119, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 2 + r**2)*(-13235*r - 1 - 17101*r + 142869*r) in the form m*r**2 + c + j*r + n*r**3 and give n.\nAnswer: 112533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 189065415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*c + 69*c + 153*c - 29754 = 0. Calculate the remainder when c is divided by 46.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o - 534 + 576. Let s be 324\/(-378)*(-2 + (-16)\/o). Sort -1, -2, 5, s in ascending order.\nAnswer: -2, -1, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccovw. What is prob of picking 1 w and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26391 + -17904. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 1335*r**3 + 25*r**2 - 1161*r + 5. Let z(l) = -2*l**3 + 5*l**2 + 1. Let s(b) = -f(b) + 5*z(b). Find the second derivative of s(j) wrt j.\nAnswer: -8070*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 - 1678*r\/3 - 18632.\nAnswer: -(r + 34)*(r + 1644)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2*r - 615. Let l = 688 + -999. Let i = -293 - l. What is the remainder when r is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 116*k**2 + 719*k + 95919. What is f(-115)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(185\/(-4107)) - 17?\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + u + 4*u, -5*u + 25 = -2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/3 + 4\/(-6). Let g(z) = z**2 - 7*z - 11. Let s(v) = 25*v + 768. Calculate the remainder when s(-27) is divided by g(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(-7*t**3 + 3*t**3 + t**3) + t**3 + 0*t**3 + 3*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*t + 2*t**2 + 6*t**4 - 8*t**4 + 24*t + 2*t**3 as i*t**2 + d*t + u*t**4 + o*t**3 + l and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13118\/91 - (-4)\/(-26). Calculate the least common multiple of v\/32*((-6)\/3 - -14) and 84.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*z - 3*u + 19, 0 = -4*z + 4*u + 28. Let b be 2\/12 + (-41)\/(-24) + 0. Is z > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/6)\/((-2)\/(-54)). Suppose s - 3*v - 2*v - 9 = 0, 0 = -4*s - 2*v + 36. Let f be 18*-1*(-6)\/s. Calculate the greatest common factor of f and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**4\/24 - s**3\/3 + 19*s**2. What is d(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 512 * -294.66\nAnswer: -150865.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174552 is divided by 10266?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 314 (base 5) in base 14?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4880 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 66 (base 8) to base 4\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4057\/14175 + -1\/2025. Which is the third smallest value? (a) -2\/5 (b) -2\/9 (c) -0.5 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -2\/1079, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 - -534\/7. Which is the closest to u? (a) -10 (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3109 * 390.73.\nAnswer: -512.207957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*k + 65317 = 62*k - 2033239. What are the prime factors of k?\nAnswer: 79, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 11 = -5*d + 5*t, -9 = 3*t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -532*t - 26. What is the thousands digit of j(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*a = -15*a - 147. Let f = -10 - -15. Suppose f*u - 16 = v - 0*u, 0 = 5*v + u - 24. Solve -v*c = -3*y + 25, 0*y + c + a = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 3*v + 28. Let r be o(-7). Solve r = 4*x - x - 4*h - 23, 0 = -4*x - 5*h - 21 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 2*j**2 + j**2 + (-2*j + 4*j - 3*j)*(-3 - 2*j + 3) + (-5*j - 5*j + 2*j)*(2*j - 3*j + 2*j).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*o = 10 - 2, o = -1. Suppose 0*i + l*i - 1124 = 0. List the prime factors of i.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489961*q**2 - 979853*q**2 + 489888*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -16 + 18 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0772 minus 240521039834?\nAnswer: -240521039834.0772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 6:30 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 12:57 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38837668 - 38837671.2999918. Let n = -3.3 - d. Round n to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17629138?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 1 = 3*d + 3, -3*d = 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 6*f**2 - 5*f - 4. Let x be r(-5). What is the remainder when 17 is divided by (-42)\/(-8) + 1\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, -5, -4 in decreasing order.\nAnswer: 58, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -5. Calculate the smallest common multiple of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90764 is divided by 496.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -4. Suppose 0 = 3*k + l*i + 150, 0*k = 5*k - i + 220. Let p = k + 68. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6346080\/(-462735)*(0 + (1 - 8)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 18 - 45 - x + x**2.\nAnswer: x**2 - x - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 104?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 161787 - 79340. What is the ten thousands digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10409334 is divided by 1057.\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8176+-155216\nAnswer: -147040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346 = 13*q - 12*q. Calculate the remainder when q is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**2 - s**2 + s**2 + (0 - 1 - 1)*(2*s**2 + 0*s**2 - s**2)*(-16 + 14 - 19) to the form o*s**2 + l*s + c and give o.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/5 + 17 + -13. Which is the second smallest value? (a) 15 (b) -1\/2 (c) w (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-55 + 4 - 3)\/(-2). Suppose -2*s = 5 - q. What is the remainder when 32 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0057582 * -0.1.\nAnswer: -0.00057582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2146649 * -0.2\nAnswer: -429329.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 0*c - 8. Suppose -x + 2*x - 3*a + 14 = 0, 3*a - c = -4*x. Let o(k) = 1075*k**3. Let f be o(x). What is f rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**8\/210 - c**6\/24 + 16*c**3\/3 + 21. Let y(g) be the third derivative of u(g). What is the third derivative of y(s) wrt s?\nAnswer: -192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 + 65. What is the remainder when 9 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - x**2 + x - 3. Let b be l(0). Let c = -4 - b. Let i = c + 4. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 + -24. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -160 - -94. What is the common denominator of -55\/18 and 220\/b - (5 + -1 - 1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2895.17 - -2857. Let o = 38 + t. What is o rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-3))\/((-1)\/3). Suppose 12 = f*o + 2*j - 6, -4*o + 31 = 3*j. Let r(k) = k - 2. Let w(a) = -a + 4. Let i(n) = -3*r(n) - 2*w(n). What is i(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*y**2 + 7*y**2 + 9*y**2 + 0*y**2 - 2*y**2.\nAnswer: 34*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2008628*-43.\nAnswer: 86371004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 718 (base 13) in base 10?\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*l**4 - 581609*l**3 + 429*l**2 + 1003*l?\nAnswer: 120*l - 3489654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -77*v - 2614. Let h be p(-34). Solve 3*w - 4*w + 11 = 4*o, 4*o - 20 = -h*w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y = 18*y - 93720. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/167704 and 55\/46548.\nAnswer: 1951571448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/340 and -59\/57120.\nAnswer: 57120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 8*u**2 + 8*u - 10. Let l = -1894 + 1887. Give z(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81*i**2 + 196*i**2 + 0*i**3 - 3*i**3 - 73*i**2 + 72*i - 3*i**4.\nAnswer: -3*i*(i - 4)*(i + 2)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/5 - (-84)\/15. Suppose 2*t = y + 2. What is the second smallest value in 3\/4, -1, t?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + i = 28, -3*b - 2*i + 34 = -7. Suppose 3*t - 315 = b. Suppose 2*k - 4*k + t = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3 - 2 + 4. Let q(v) = 3*v + 4. Let c(b) = 5*b + 9. Let n(g) = -4*c(g) + 7*q(g). Let j(x) = -4*l(x) + n(x). What is the derivative of j(u) wrt u?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 2 - 589*b**2 + 309*b**2 + 284*b**2.\nAnswer: 4*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u + 4, -u - 9 = -k. Solve 42 - 17 = k*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 36*c + 31. Suppose -128 = -0*l - 16*l. Is f(l) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2. Let z(p) = -820*p - 11. Let t(l) = -205*l - 3. Let a(c) = -22*t(c) + 6*z(c). What is a(d(q))?\nAnswer: -820*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21124*v**2 + 21132*v - 8 = 0. What is v?\nAnswer: 2\/5281, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*a + 9, -f - 2*f = -a - 12. Suppose 2*y - 1 - 5 = 0, 2*p + f*y = 191. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-405))\/((-4)\/168) + 18\/(-45)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r - 24. Let y(z) = z**3 + 45*z**2 + 454*z - 948. What is the remainder when y(-26) is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-18 - (-4 + 1) - -8) + -25 + 35).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -223 and 0.22.\nAnswer: -49.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 1 = 3*i + 5, 4*o = -5*i + 4. Let a be (-2)\/(i + 1)*(-18 + -4). What is the highest common divisor of a and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -64, -2, 8 in ascending order.\nAnswer: -64, -2, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of (258\/(-15))\/(17\/(-274040)*8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v + 10. Suppose 31 = v*l + 6. Calculate the highest common divisor of 10 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1\/8, 4, 1193?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (564\/(-8) + 0)*314\/471.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4848214)\/(-42)*(13 - 10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-44)\/(-48))\/11)\/((-13)\/(-104)*12\/6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 15924 = f + 5365, 0 = -4*f - 5*m + 42236. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 6:54 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010100 + 10?\nAnswer: -11010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 284315 and 1010.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 96 = 6*j. Let q = j - 8. Differentiate -1 + 20*x**3 - 7 - 3 - q wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g**3 - 3*g**2 + 0*g**2 - g**2.\nAnswer: 19*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**2 - 10*n**2 - 7*n**2 + 6*n**2 - 19*n**2.\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + -7. Let o(i) = -i**3 + 5*i**2 - 2*i + 1. Let b be o(5). Let s = d - b. What is the smallest value in -0.1, 1\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**2. Let y(l) be the third derivative of l**2 + 0*l + 1\/6*l**4 + 0 + 0*l**3. What is y(g(j))?\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/6*2*0. Suppose w = 3*x - 0*x - 6, 2*x = v. Suppose 0 = 2*f + 3*j - 118, 0*j - 3*j = -v*f + 236. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 505*f**3 + 488*f**3 - 1014*f**3.\nAnswer: -21*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8580680 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3023, 24000, 80953, 191870, 374739, 647548?\n\"Answer: 2998*a**3 - 9*a + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2))\/((-12)\/168). Suppose t - 38 = k, -4*t + b*t - k = 104. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47401751.\nAnswer: 19, 2494829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13594.5 * -0.2.\nAnswer: 2718.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36482552.\nAnswer: 2, 137, 33287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 90 - 87)*(-q + 2*q + 20 + 7) in the form j*q + n and give j.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -408 - -1606. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13971 and 180.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, m: 5, e: 2}. Give prob of picking 2 e.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 118082 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 91517, 182809, 274097, 365381, 456661?\n\"Answer: -2*g**2 + 91298*g + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 367274 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**2 + 31*b. Let s be j(10). Suppose 0 = 5*t + 2*c - 12 + 11, -t = -3*c + s. What is the hundreds digit of (211 - -4) + -2 + 3 + t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5601311698 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1426, 2849, 4272, 5695, 7118, 8541?\n\"Answer: 1423*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 14*c - 15. Let w be v(-13). Let p = w - -38. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/(a\/a**(9\/4)))))\/a**8*a**(-4)*a*(a\/a**4)\/a*a assuming a is positive.\nAnswer: a**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**4\/7 - 104*n**3\/7 - 1406*n**2\/7 + 68900*n\/7 = 0.\nAnswer: -26, 0, 25, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 0.092 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 + 5*r + 3. Let i = 5 + -8. Let s(b) = -b**2 + 3*b + 2. Calculate i*d(u) + 5*s(u).\nAnswer: u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1101001000000?\nAnswer: -1101000111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Express (-211 - 44 + 24)*(0 + 2*p + 0) as w*p + t and give w.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 3*a - 9. Calculate the lowest common multiple of 17 and r(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 = -3*p, n - p - 6 - 3 = 0. Let h(z) be the first derivative of -z**2\/2 + 9*z - 3. Calculate the remainder when h(0) is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5101*j = 2545*j + 2578*j + 22 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.00703 + 3292133602.\nAnswer: 3292133602.00703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 + 116 - v - 75 - 78 - 66.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353 = 4*j - 3*n, 0 = -j + 3*n + 79 + 16. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(156) - sqrt(156)*-1))\/((2*sqrt(96))\/sqrt(8))*6.\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 3*m + 23, -62*m - 2*p + 61 = -69*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 34*t**2 - 28*t - 4192. What is q(0)?\nAnswer: -4192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2. Let i(c) = 105*c**2 + 1154. Determine i(l(s)).\nAnswer: 105*s**4 + 1154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 16, -11, -38, -65, -92?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11528 - -4046336\/351. What is the common denominator of j and -19\/3315?\nAnswer: 29835","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 1121.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 305*a**2 - 1494*a + 1800.\nAnswer: -(a - 1)*(a + 6)*(a + 300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s - 2. Let m be d(-2). Let w(v) = -v**2 + 8*v + 10. What are the prime factors of w(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -869, -229, -1, 5, -5, -8 in increasing order.\nAnswer: -869, -229, -8, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*m - p - 9, -5*p + 5 = 0. Suppose m*v = 4*v - 376. Is ((-1)\/2)\/((-4)\/v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 413641968 - 88105062907\/213. Let s = x - 3175. What is the third biggest value in -0.5, 2, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/((-8)\/(-2)))\/(0 - 2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.39 + -0.56. Let i = l + 4.17. Let v be 3*2 - (-2)\/(-2). Put -4, i, v in increasing order.\nAnswer: -4, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 11. Suppose 62 + y = 4*w. Calculate the greatest common factor of w and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 3 = -9*b. Solve 3*o - 11 = t + 6, o + t = b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/6)\/(3\/(-45)). Let d be ((-10)\/(-15))\/(6\/45). Suppose -545 = -y*l - 5*n, -2*l + d*n = -3*l + 93. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.662 and -0.279?\nAnswer: 1.021698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 183415*r**2 - 183409*r**2 + 3.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -406547 * 497.\nAnswer: -202053859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a + 50*a = -7619000. What is a rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 14*s - 8. Let f be v(12). Let u = 1\/4350 - 88088\/2175. Find the common denominator of (6 - 0)*(-184)\/f and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1953.455 to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 17*l - 2. Let o be h(-4). Solve 393 - 387 = o*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*c + 14, -3*y + 2 + 1 = 3*c. Let s(z) = 15*z**2 - z - 1. Calculate the remainder when 73 is divided by s(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h - 6. Let b(p) = -p**2 + p + 23. Let q be 2\/(16\/42) - 11\/44. Calculate the remainder when b(q) is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-18)*(-6)\/4. Let h = -0.05 + 0.08. Which is the second smallest value? (a) -2\/5 (b) h (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5703455521.\nAnswer: 23, 247976327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/264 and 94\/19337835.\nAnswer: 154702680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 0\/(-3) - -1. Let t be (-16)\/(-8)*r\/(-10). Which is the smallest value? (a) t (b) 1\/9 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8997?\nAnswer: 3, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**9*w)**(-14)*(w**20*w)\/(w*w*w*w**8*w) assuming w is positive.\nAnswer: w**(-145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000595687 to 6 decimal places.\nAnswer: 0.000596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 128*l - 5 - 22*l + 1 + 15 as n + x*l and give x.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**7\/126 - 47*o**6\/90 - 49*o**5\/30 - o**4\/18 + 97*o**3\/18 + 49*o**2\/6 - 980*o. Factor f(z).\nAnswer: (z - 49)*(z - 1)*(z + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1666 is divided by 347?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.9 - -4. Let b(s) = 2*s**2 - 31*s - 27*s - s**2 + 56*s. Let t be b(1). What is the closest to x in t, 0.3, 2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 at most as big as -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 137 - 35. What are the prime factors of s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -173*z**4 + 193*z**2\/2 - 7*z + 867. Find the second derivative of g(p) wrt p.\nAnswer: -4152*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 140*d**2 + 39*d**2 - 41*d**2 in the form t + f*d**2 + w*d and give f.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444059252?\nAnswer: 2, 7, 13, 23, 29, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 529479?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 244472 and 60.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10312034 (base 6) to base 3\nAnswer: -120111101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -189 + 113. Let j = t + 530\/7. Let r = 0.07 - 4.07. What is the closest to j in r, 2\/17, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3789135 divided by -108261\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/5 (b) -5 (c) 2\/13 (d) -29 (e) 12.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 22. Suppose -x = -3*x + i. Solve -3*s - 4 = 4*w - 2*w, s + 5 = x*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(33\/15))\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-23)\/p*p))\/(p\/(p**(-30)\/p))*(p\/p**12)**(-5) assuming p is positive.\nAnswer: p**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 57, 56, 63, 84, 125?\n\"Answer: w**3 - 2*w**2 - 2*w + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*t**2 - 13*t**2 - 9*t**2)*(-2 + 4 - 1 + (-1 - 1 + 0)*(-2 - 2 + 1) - 1 - 3 + 3)*(1 - 1 + 3).\nAnswer: -234*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 6*c + 6. Let o be v(4). Let k be 0\/o + 0 - -1. List the prime factors of (-12)\/(-1) + k + -3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 109.49969 to 1 dp.\nAnswer: 109.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 731.6461um?\nAnswer: 0.07316461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*v - 18*v + 5. Let s be 14 + -14 - -2*v. Solve -2*o = -z - 0*o, -4*z = s*o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**4 + 828350*y**3 + 24022796*y**2 + 161534130*y - 186385275 = 0.\nAnswer: -15, 1, 828379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*a - 934 + 10054 = 0 for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(5)*2)*-4.\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 174, 189?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 181340676 a multiple of 2076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -26. Let x(a) = -81*a**2 + 3*a + 4. Let o be x(u). Let n = -1194 - o. Round n to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -413 - -1252. Let y = -61 + d. Is y a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5071 + 2960. Let q = -2111.1057 - v. Let g = q + 0.1. Round g to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4527?\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(18)*-2)\/sqrt(6)*-3 - 6*(sqrt(3) - (3 + 0 + sqrt(3)))*-5.\nAnswer: -90 - 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100 - -10011001000010?\nAnswer: 10011000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ame when three letters picked without replacement from {m: 2, e: 1, p: 2, a: 1, r: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0050241 to four decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/22)\/u)\/(((u*u**(2\/71))\/u*u)\/u)*((u\/u**(-20))\/u)**21 assuming u is positive.\nAnswer: u**(654221\/1562)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**2 + 13*w - 11. Let y(n) = -2*n**2 - 6*n + 5. Let t = 125 - 67. Let a be 2*(t\/(-261) + 154\/(-36)). Give a*y(m) - 4*f(m).\nAnswer: 2*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 9*h + 3. Let f be (-1 - 8) + 0\/(-2). Let b be z(f). Let 0*r**3 - 3*r**4 + b*r**5 + 3*r**2 + 3*r**3 - 5*r**3 - r**3 = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 170*s + 28. What are the prime factors of x(-33)?\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7917)\/294)\/(-29) - (-1 - (-6)\/14). Let p = 41.4 + -41. What is the closest to -2 in j, p, 3, 0.8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 6\/23, 0.06 in increasing order.\nAnswer: 0.06, 6\/23, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -321*d*t**3 - 11*d*t + 3*t**4 + t**3 + 7*t wrt t?\nAnswer: -1926*d*t + 36*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1793 + 1571. Is -445\/2 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**7\/1260 - u**5\/360 - 4*u**2. Suppose x(q) = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2079 * 177\nAnswer: -367983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 370.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*y = -77*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2228 (base 9) to base 14\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 800 = 57*f - 1353 - 355 - 456 for f.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b00ab + -61?\nAnswer: -b012c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3) - (-11)\/3. Is 3 a factor of (-2)\/4*(-11 - y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/36963076 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/58 (b) -3\/4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 12:28 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4576 - 0?\nAnswer: 4576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tohoj. Give prob of picking 3 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -9 (c) -0.07 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 309 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/13, -0.1, 3, 1396, 1\/2 in ascending order.\nAnswer: -3\/13, -0.1, 1\/2, 3, 1396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(405) - (-5 + sqrt(405)*-2 - sqrt(405)))**2 + (-1*sqrt(45))\/sqrt(9) + -5 + 0.\nAnswer: 359*sqrt(5) + 6500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -58 * 2034\nAnswer: -117972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 729 + -731. Let m be (-32 - 4)\/(1\/2). Let i = 214\/3 + m. Which is the biggest value? (a) 5 (b) q (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 8 = -2*o. Let i(v) = -6*v - 7 + 8 + 7*v. Give i(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42\/28 + (-54)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -479715.\nAnswer: 6\/159905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 9*f + 10. Let i be l(10). Suppose -3*c + 2*c - r + 4 = i, -4*c + 2*r = -4. Solve 1 = -s - c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 - 40*w. Let b(t) = 4*t. Let j(c) = 8*b(c) + d(c). Let z(x) = 2*x. What is j(z(u))?\nAnswer: -8*u**2 - 16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - -2. Find the second derivative of -4*c - 41*c**3 + s*c - 9*c - 6*c wrt c.\nAnswer: -246*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/10 + 5\/25)\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1860551\/5 or -5?\nAnswer: 1860551\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/7)\/(-8))\/(1\/(-2))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -199079, -398092, -597177, -796370, -995707, -1195224, -1394957?\n\"Answer: -6*j**3 - 198971*j - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 775 or -155?\nAnswer: 775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13\/50 + -254\/1025. Is 1 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/45 - (5057*(-8)\/(-2520) + -81 + 66).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5724, 11447, 17134, 22767, 28328?\n\"Answer: -3*z**3 + 5744*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28, 60, 116, 208, 348, 548, 820, 1176?\n\"Answer: 2*i**3 + 18*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/8 and 67\/450?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -17. Let v = 124 - 125. What are the prime factors of (v - -1*s)\/(32\/128)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (110\/(-12320)*816)\/(9\/105).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 28*h - 32*h + 60 = 0, 3*h = 6. Which is bigger: y or 215\/17?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-3 + (-8 - -10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, 3\/4, 1, -1 in decreasing order.\nAnswer: 1, 3\/4, -0.15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -973 divided by -1898?\nAnswer: 973\/1898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-18)*36\/(-9)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 + -2 + (-2 - -10) - -6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjjy when four letters picked without replacement from {j: 14, y: 5}?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-23)\/a))**(-32)*(a**3)**22)**(5\/13) assuming a is positive.\nAnswer: a**(-3670\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = g + 25, 4*g + 10 = -13*x + 14*x. Let u be x\/90 - 10\/(-6). Sort u, 11, -2, 5.\nAnswer: -2, u, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -206135356 + 2.64.\nAnswer: -206135353.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-42)\/8)\/(-3 + 1). Let s(x) be the first derivative of -p*x**4 + 1 + 0*x**2 + 7\/4*x**6 + 0*x - x**3 + 3\/5*x**5. Suppose s(u) = 0. Calculate u.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 - 885 + 2*q**2 + 46.\nAnswer: 2*q**2 - 839","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwmmiiih. What is prob of picking 1 m, 1 w, and 1 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h + 9. Suppose 3*x = -q + 3, 13 = -5*q - 3*x - 8. What is g(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 67.83759mm?\nAnswer: 67837590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a kilometer in meters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 13195 = -25*g. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 1. Let t be m(1). Let s be 36\/(-3)*-2*t\/12. Suppose s*v + 15 - 59 = 0. Calculate the least common multiple of 1 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, 7, -0.2, -8, -0.029?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 573144 and 303002128.\nAnswer: 909006384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.274374 to 0 decimal places.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 310818 and 1758?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 13. Which is the nearest to 0.1? (a) -2\/11 (b) 0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {m: 1, z: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 210.021 + -210. Round r to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8101*p + 53. Let m(u) = 2701*u - 15. What is -7*m(h) - 2*n(h)?\nAnswer: -2705*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -65435a (base 13) in base 10?\nAnswer: -2379933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57840 and 28920?\nAnswer: 57840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -11706*f**4 + 5809*f**4 + 187*f - 180*f**2 + 3*f**5 - 190*f**3 + 74 + 6003*f**4 = 0?\nAnswer: -37, -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*t**3*y + 266632*t**3 + 18*t*y**2 + 431*y**2 wrt y.\nAnswer: -2*t**3 + 36*t*y + 862*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -161.2.\nAnswer: -1128.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 22 = 2. Let k be ((-13)\/c)\/(3\/24). What is the highest common factor of 39 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 14 + 12)*(-3 + 3 + 2*a)*(a**3 + 0*a**3 + a**3).\nAnswer: 64*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.26 - 4.51. Let y = k + 0.25. What is the second biggest value in 4, y, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 11*q**2 - 2*q - 2. Let o be d(-1). Let w(h) = -3 + 1 - 10 + 3*h. Let a be w(o). What is the greatest common factor of 21 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100 + 6*(-2)\/12*3?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1661\/10 or -166?\nAnswer: -1661\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 47\/9 - (-30)\/(-135). Suppose -4*k + 98 = 2*t, -2*k - z*t + 41 + 12 = 0. Calculate the remainder when 67 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 22 = -6*c, 2*c + 10 = -7*p + 5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 845*a - 23. Let x be m(1). Suppose -4*w + x = 2*h, -h - w = -0*w - 410. What are the prime factors of h?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 341 = r, 17*j + 3*r = 13*j + 1359. What is the lowest common multiple of 16 and j?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 6. Let y(v) = v**3 + 5*v**2 + 3*v - 1. Let j be y(u). Let c be 6\/(-27)*3*(6 + -18). Solve 2*l = 3*g + j, 3 = -c*g + 5*g - 3*l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**5\/60 + 4*k**4\/3 + 57*k**3\/2 + 56*k**2. Differentiate l(t) wrt t.\nAnswer: -2*t + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/6 - 14\/4. Let m be (-10)\/(-8) + 1 + q. Let j = 2313 + -2326. What is the third biggest value in -0.2, j, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 + 0 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 247, 548, 1075, 1906?\nAnswer: 3119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2552\/(-6336) - (-62)\/496.\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - (-2 + (6 - 7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 294*u - 602. Let x be f(2). Sort 3, -56, x.\nAnswer: -56, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 16 = -w - 4*w, -2*p - 8 = 4*w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14727 - 14724. Solve 11*f = -p*q + 6*f - 6, -5*q = 2*f + 29 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31920 divided by 4?\nAnswer: 7980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -20. Solve -3*w + 2*u - 11 = -4*w, 0 = -5*u + f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6) - 534\/(-54)*-6. Let x = q - -65. What is the third derivative of 32*m**2 - 66*m**2 + 32*m**2 + 0*m**x + 7*m**6 wrt m?\nAnswer: 840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 14 = -2*m, 2*m - 4*d + 2*d = 10 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15536?\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 - 27*o**2 + 9 - 39 + 15 + 14.\nAnswer: -27*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1117, 8874, 29943, 70984, 138657?\nAnswer: 239622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/9, 211, 9.\nAnswer: -2\/9, 0.5, 9, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000552289947 to seven decimal places.\nAnswer: 0.0005523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2609568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r. Let p be ((-24)\/(-10))\/(4\/10). Let i be j(p). Calculate the highest common factor of i and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130619 is divided by 6865.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -10 - 4*d**2 + 5*d**2 - 6*d - 10*d + 25. Let q be m(15). Do -1.9 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5577354 and 8366031?\nAnswer: 16732062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -239727489 + 239727468.21605196. Let k = w + -0.21616996. Let d = -21 - k. Round d to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/916312 and -76\/99992547?\nAnswer: 799940376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.9 and 0.89982?\nAnswer: 3.00018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8331363 to the nearest integer?\nAnswer: 2886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -528, -1105, -1682, -2259, -2836?\n\"Answer: -577*s + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18787650 is divided by 32903.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 6\/(-8))*(1 + 3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121 + -119. Solve -2*u = 4*z - 4, z - u = 2*z - h for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.3843.\nAnswer: 0.19215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -66, -33, 44, 189, 426?\n\"Answer: 4*x**3 - 2*x**2 + 11*x - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(13)*-3*-2.\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -384651 (base 9) to base 11.\nAnswer: -14a134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 439*g + 13963. Calculate h(-32).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -251.62 - -252. Let c = 2.38 - z. Suppose -2*b - 5 = 19. Are c and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*p = -18, -110 = 5*f + 5*p - 170. What is the remainder when 209 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5959044 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.377, 1\/178 in ascending order.\nAnswer: -3, -0.377, 1\/178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-819)\/(-1638)*3\/2*(-2000)\/(-30).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4316510853 to the power of 1\/2, to the nearest integer?\nAnswer: 65700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 11 = -3*k - 5*w, 15 = 2*k - w. Suppose -u + 5*m + 50 = 0, 0*u + 2*u = k*m + 125. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21012 (base 3) to base 11.\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 96*k**3 - 2*k**2 - k**4 - 44*k**3 - 57*k**3 as b + j*k**3 + d*k**2 + v*k + o*k**4 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-16)\/(-7))\/(65 + 487425\/(-7504))\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l - 9 - 12. Let s = -6 - 0. Let d = l - s. Solve -d = -b + 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 892047*b**5 + 2*b**4 + 4*b**2 - 88485.\nAnswer: 53522820*b**2 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -501 or -805?\nAnswer: -805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (93\/(-4))\/(22\/(-176))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-9))\/(6\/9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - 3\/(9\/6). Let c(j) = u + j + 0*j + j. Calculate c(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32\/821 + 2058\/10673. Which is the fourth smallest value? (a) 4 (b) -2\/3 (c) -8 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -8420?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o + 42*o - 1 + 1.\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -181 - -180.8. Which is the fourth biggest value? (a) 0 (b) -0.5 (c) -0.3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178934 is divided by 25558.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -386084*f + 386726*f + 2568 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66439 to the power of 1\/2, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*k + 32 = 33*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -262149992?\nAnswer: 262149987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/8 + (-27)\/12. Let r be a\/(-3) - (-34)\/3. Let n = -2 + r. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/40 (b) -0.3 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 12.8. Let z = 4 + s. Which is the smallest value? (a) z (b) -0.1 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 96*h**3 - 4*h**2 - 10*h + 103. Is j(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/m**18*m**(-26)*((m**18\/m)\/m)\/m**(2\/9) assuming m is positive.\nAnswer: m**(-236\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.05, -3, -1181, 24, 3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50292051 - 50292150.999902. Let o = 100 + g. What is o rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3 - (-4)\/(-3). Let p be (z\/2)\/(-1) - -1. Is 0 + (44 - p) - 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2. Suppose -5*b - 4*v + 3 = -5*v, b + 5*v + 15 = 0. Let u(c) = -5 - 2*c + 5 + b. Give m(u(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -i**2\/2 + i - 3. Let n(x) = 3*x - 4. Give n(o) + 4*r(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, -3, -0.4 in ascending order.\nAnswer: -3, -0.4, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1807 and 2363.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -2. Suppose -5*o + 4 - 42 = 4*t, 2*o - 3*t = -q. What is the units digit of (6 - 9)\/(o\/52)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 + 20. Let d = 34 + s. Solve -3*u = 3*i + 9, 2*i + i = -2*u - d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -1. Let k = -1 - c. Solve -4 + k = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 100000011101011001010100?\nAnswer: 100000011101011001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/22*4*2*(274 + -275)\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2093.\nAnswer: 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 0*g + 0*g**3 - 1\/8*g**4 + 1\/60*g**5 + 0 - 2*g**2. Find the second derivative of q(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*g**3 + g**2 + 89*g.\nAnswer: 228*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -1\/5, 6\/2275, -4, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + (-4 - (1 + -1)). Solve -5*o + c*v - v = 15, -2*o + v - 6 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -3*n**4\/4 + n**2\/2 + 2893*n. Let l(k) = -46*k. Determine i(l(p)).\nAnswer: -19044*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 1 = -4*u, -u + 4*u = 2*d - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 7*q - 160. Differentiate 8 - 2*m**4 - 29 + q*m**4 - 9 with respect to m.\nAnswer: 72*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**2 - 11 - o - 5*o + 6*o**2. Let p be c(8). Let l = 8 + p. What is the remainder when 37 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 24302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5456\/80 - (-2)\/(-10). Suppose -2*z + 20 = 4*l, -5 - 7 = -3*z. Suppose -l*d + 371 - q = 0. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4 + 4 + 50399*u + 1 - 51134*u.\nAnswer: -735*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**6\/120 - 3*n**2. Let c(u) = u**3 + 4*u. Let h = 2 + 0. Determine h*g(m) - c(m).\nAnswer: m**3 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3 - 1, 3*h - 5*q = 6479. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 8802*s + 9644920.\nAnswer: 2*(s + 2060)*(s + 2341)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 367498 and 722?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14837?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z - 8 = 0. Let f = z + 8. Solve 0 = -f*j - 3*j + 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73574065 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -59620 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 9867004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-36) + (-274)\/(-18). Solve 15 = 2*a - 5*x, -4*a - 4*x - o = x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 2*n + 4, -4*k + 36 = 3*n + 34. Which is the second smallest value? (a) 91 (b) k (c) -4 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*n + 152, -2*w = -w + 2*n + 144. Suppose 241 = -3*y + 823. Let j = w + y. Is j a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1756 and 1344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 6. Let p(g) = -4*g - 1. Is p(m) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (1 - -2) - -1. Suppose -l*p + 4*n - 9 = 0, -6*p + p = -5*n + 10. Which is bigger: -2\/13 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 72389380.\nAnswer: 3\/72389380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 960.0073 nanometers?\nAnswer: 0.0000009600073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -87, -168, -245, -318, -387, -452?\n\"Answer: 2*b**2 - 87*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - 5*u**2 + 3*u**2)*(-3*u**3 + 5*u**2 + 5*u**3 - 3*u**2).\nAnswer: 4*u**5 + 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 4*z**3 + 4*z**2 - 2*z**3 + 7 - 7 + (-5*z**2 + 3*z**2 + z**2)*(1 - 1 + z).\nAnswer: z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.03 - 5.03000677. What is g rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 759 + -752. Let y = -1 + 3. Which is the third biggest value? (a) y (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7401540 divided by -1756.\nAnswer: -4215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**5 - 37*u**5 - 48*u**5 + (u**2 - 2*u**2 + 19*u**2)*(-u**3 + 2*u**3 - 3*u**3) + 5*u**3 - 5*u**3 - u**5.\nAnswer: -118*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**3\/3 + k**2 - 5*k + 3. Let s be ((-5)\/(-2))\/((-4)\/8). Is 3 a factor of l(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5878\/5 + 1176. What is the second biggest value in -2\/21, 0.1, -2\/7, o, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, s: 2}. What is prob of picking 3 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 980786 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 5:52 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15965)\/(-1030)*(-342)\/(-93)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/10)\/(-4*(-4)\/32).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) -84\/25 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 181247 * -0.2.\nAnswer: -36249.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 1. Let v(b) = -3*b + 1. Let z(d) = v(d) + 4*y(d). Suppose 0*w - 3*g = w - 4, w = 3*g - 14. What is z(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 9. Suppose 2*a = c*a - 18. Let q be 4\/a - 2\/(-6). What is the smallest value in q, -5, 1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-6) + (-68)\/(-24). Suppose 2400020 = 4*v - 4*q, 0 = 6*v - x*v - 2*q - 1800010. What is v rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4\/1249 - -51241\/9992. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, j: 1, u: 2, p: 2, b: 2, o: 1}. What is prob of picking 1 b, 1 o, and 2 u?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -152\/5 or -53\/3?\nAnswer: -152\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6)*120\/(-16) + 2. Suppose -t - 1 = -2*c + u, 14 = 3*c - 2*t. Solve -2*p - 12 = -z, p + p + 14 = c*z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 k when three letters picked without replacement from kjjkjj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4*((-5 + (sqrt(1088) + sqrt(1088)*-2)*-2)**2 + 3).\nAnswer: -17516 + 640*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 0.02 (c) 697 (d) 32 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 0.9 (b) -101 (c) 0.5 (d) 0.2 (e) -0.1 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 102 = -6*l - 7*l. Solve -4*c - 50 = -l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*(-10)\/210*7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 310*h - 290*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 836?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 402 and 18.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7783*o = -15558*o + 7875*o + 386 + 114 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 4*g + 8, 4*g = g - 9. Solve 0 = z + 4*b + b + 19, 2*z = u*b - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.3. Let t = u - -0.1. Let h be (-2 - 1)*(-6)\/63. What is the third smallest value in h, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.156 + -3.956. What is the third smallest value in n, 0.4, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1323339.5 * -4.\nAnswer: 5293358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + 2*u - u)*(4434 + 4431 - 2035*u**2 - 8865) to the form c*u**3 + y*u**2 + w*u + m and give c.\nAnswer: -2035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10625 - 12340. Is -4*(-5 + (-11)\/((-44)\/s)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/18 and -73\/63705.\nAnswer: 382230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = o - 6. Let b be (o - -20)*(-2)\/(-1). Suppose -4*n + b = -54. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 1. Let g(h) = 5*h. Let n(d) = -g(d) - j(d). Let c(o) = -25 + o + 9 + 16. Let r = 3 + -4. What is r*n(y) - 5*c(y)?\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16, -86, -202, -364?\n\"Answer: -23*j**2 - j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111001010100100 (base 2) to base 14.\nAnswer: -a9a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*w - 5, l + 1 = w - l. Let u(c) = 4*c - c**2 - 2 + 2*c + w + 14*c. What is the units digit of u(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 46\/(-8) + 6\/8. Let k(c) = -5*c**3 + 2*c + 3. Let a(m) = -11*m**3 + 5*m + 7. Let x(p) = t*k(p) + 2*a(p). Differentiate x(s) wrt s.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112078 divided by 112078?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 - (7687\/2)\/(9\/(-18)).\nAnswer: 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 5:10 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1349962 to the power of 1\/2, to the nearest integer?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 9\/571 (b) 0 (c) 447\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 take away 0.9?\nAnswer: -58.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 1.11168499?\nAnswer: -4.11168499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x + 2*x - 2*x)*(1 - 3*x - 1)*(-219*x**2 + 69*x**2 + 101*x**2) to the form d + o*x**4 + i*x + c*x**2 + h*x**3 and give o.\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(252) + 1 + 2.\nAnswer: 3 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldm when three letters picked without replacement from {l: 2, n: 3, d: 1, m: 1, u: 3}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 295.965 hours to seconds.\nAnswer: 1065474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14915112 to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 6*m - 4. Let o be i(7). List the prime factors of o - (-3 + 9*-1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -423013 + -11?\nAnswer: -423024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 332 - 337. Let f be (-1)\/(-6)*-4*1\/3. What is the second biggest value in -1\/5, f, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 165*b**2*q*y - 3*b**2*q + b**2*y**2 - 221*q*y**2 + 38*q wrt b?\nAnswer: 330*b*q*y - 6*b*q + 2*b*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -2*o**3\/3 + 1. Let f(d) = d**2 - 11*d + 11*d. Give c(f(h)).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1711 or -1437?\nAnswer: -1437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 17 = 5. Let u = -5 - p. Solve -3*o - 6 = u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5\/7 + 6*b**4\/7 + 10*b**3\/7 - 6*b**2\/7 - 8*b\/7 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2\/(-9) - (-7)\/((-189)\/(-116133))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*o + 12, 0 = -4*o - 0*y + 5*y - 12. Let k be ((-9)\/o)\/3 + 1. Suppose k*m = m + 12. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-1 + 2 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 28 = -3*s. Let g = 5 - s. Let o(v) = -2*v**2 - 2*v - 2. What is o(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -269*z + 278*z - 27. Is 13 a factor of 105378\/168 + (0 - z\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 9*n + 6. Let d = 253 + -237. Suppose -d*o - 13 = 51. Let q(k) = -8*k - 5. What is o*l(b) - 5*q(b)?\nAnswer: 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -262 - 155?\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + (sqrt(84)*-2*-1)\/(sqrt(12)\/(sqrt(16)\/sqrt(4) + sqrt(4)))) + 5.\nAnswer: 1 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 - 24 = -2*n + 4*u, -2*u = -5*n + 477. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 456905092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1967667 and 2028.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 3*a**2 + 16*a - 18. Let m(w) = 2*w**3 - 5*w**2 - 31*w + 34. Let x = -438 + 444. Let f(l) = x*m(l) + 11*v(l). Give f(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v + 72 - 217 = 0. Let a(h) = -5*h**3 - h**2 - 32*h + 10. Let r(f) = -2*f**3 - 11*f + 3. Let m(i) = 3*a(i) - 8*r(i). Give m(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imii when four letters picked without replacement from imiimiiiii?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -75039*y**2. Let u(j) = -273*j**2. Calculate u(f(g)).\nAnswer: -1537222465233*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1342 - 0?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.115 + 3.885. What is the closest to -0.32 in m, 3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d - 66. Calculate z(30).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p - p - 3*p)*(-16 + 2 - 4) + 4*p + 0*p - p to n + i*p and give i.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3013*w**3 + 25*w + 8. Let k be a(6). Let h = k - 915966. What is h rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, 0.5, -0.8, -0.19?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2*2)\/(36\/27). Suppose b*o - 35 = -2*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/61 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/11)\/o)**8*((o**(-8)\/o)\/o)**(-50) assuming o is positive.\nAnswer: o**(5428\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g - 30. Let p be c(-30). Is 32 a factor of (-30)\/(-4)*(1386\/p - -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/((7 - 3)\/(-4)). Let g = c - -64. What is the remainder when g is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 9 + 11. Suppose 5*t - b = m, -1 = t - 4*b - 3. What is the first derivative of 3 + t*i + i + 0 - 2*i wrt i?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**4\/3 + 2*w**3\/3 + w**2 - 8*w\/3 + 4\/3 = 0 for w.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**5\/4 + 63*v**4\/4 - 75*v**3\/2 - 429*v**2\/2 - 999*v\/4 - 357\/4 = 0?\nAnswer: -1, 7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*w + 1 = -4, 4*l - 5*w = 30. Let y = -2 + l. Suppose -10 + 1 = -y*o. Solve -o*q = 3 - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 3*s + 12, -128*l + 146*l + 8*s = -92 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 502213*y**2 + 9*y + 15856449 wrt y.\nAnswer: 1004426*y + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j*x**4 - 87*j*x**2 + 3*j*x - 99*x**4 wrt x.\nAnswer: -72*j*x - 2376*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.39, 5, -4 in increasing order.\nAnswer: -4, 0.39, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -151*c**3 - 843 - 150*c**3 - 1213*c**4 + 301*c**3 wrt c?\nAnswer: -4852*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7722*-3019.\nAnswer: -23312718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 14 = x. Let i = x + 13. Let m = i - -6. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 7*q + 3. Put 5, q, -5 in descending order.\nAnswer: 5, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 2*m**3\/3 + 95. Let j be 1 - 1 - (-1 + 0). Let v(w) = 8*w**2 - 1 + j. What is v(b(y))?\nAnswer: 32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**2 + s**4 + 7440250*s**3 - 7439927*s**3 + 3*s**2 to w*s**4 + a*s**2 + l + o*s**3 + f*s and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 1084*m - 3263. Let w be z(-3). Let g(q) = -3*q**3 - 2*q**2 - 3*q - 5. What is g(w)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5530082*j**2. Let g(o) = -9*o + 4. Determine g(b(w)).\nAnswer: -49770738*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 897229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 + -5 + -1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 305*l + 31. Let s(n) = -152*n - 15. Let w be (5 - (-14)\/(-3))*-15. Let i(o) = w*s(o) - 2*f(o). Is i(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 23. Suppose -5*y + 2 = v - 2, v + 2 = y. Suppose 0 = z - 2*z + y. Which is the second smallest value? (a) l (b) 0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 13*b**2 - 15*b - 11. Let u be t(-14). Suppose 8*p - 4*p + 75 = 5*y, 3*p - 18 = -u*y. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -721, -1454, -2187, -2920, -3653?\nAnswer: -4386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 11014070?\nAnswer: 121154770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145610?\nAnswer: 2, 5, 14561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 277 or 286?\nAnswer: 286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 389565215.\nAnswer: -3\/389565215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 150195443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (-3 - -2 - 6). Let i = 17 + c. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 + 4170482 - r**2 - r**2 - 4170482 + 2*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 - 10*d + 28 - 58 + (6*d - 7*d - 8*d)*(6 + 0 - 4) to the form o + m*d and give m.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87 - -452. Let f = y + -358. Solve 0 = f*o - 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/7 in 0, 0.01, 0.3, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 871007878020*h**5 - 1767158351980*h**4 + 921290058245*h**3 - 25136572720*h**2 - 3011475*h - 90 = 0. Calculate h.\nAnswer: -3\/50246, 2\/69, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 29 = -2*r. Let z(c) be the first derivative of 1 + 27\/5*c**6 - 24\/5*c**r + 414\/25*c**5 + 139\/10*c**4 - 2*c**3 + 8\/5*c. Factor z(y).\nAnswer: 2*(y + 1)**3*(9*y - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -4, -0.2, -1\/3, 2\/7 in increasing order.\nAnswer: -4, -1\/3, -0.2, -0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22900 and 280?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 534*t. Let o(x) = 17*x. Determine s(o(d)).\nAnswer: 9078*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6867791, 13735596, 20603401, 27471206, 34339011, 41206816?\n\"Answer: 6867805*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18321 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60420 = -27*q + 84*q. Calculate the lowest common multiple of q and 8.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/2 - 5\/2*n**2 - 1\/2*n**3 - 7\/2*n = 0. What is n?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 3420200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -50\/29, -0.5 in ascending order.\nAnswer: -50\/29, -0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 - 1079659*z - 1619484.\nAnswer: -(z + 539828)*(2*z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -13*x**3 - 10*x**2 - 16*x - 6. Let h(l) = 24*l**3 + 17*l**2 + 31*l + 10. Let b(z) = -6*h(z) - 11*n(z). Give b(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236*l + 222 - 91 = -148 - 193. Factor -4\/7*o**l + 52\/7*o + 8.\nAnswer: -4*(o - 14)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -102. Differentiate 10*w - 12*w + i - 25 - 57*w**2 with respect to w.\nAnswer: -114*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 divided by -3?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8) + (-24)\/(-32)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (802*w**3 - 1449*w**3 - 221*w**3)*(0*w + 2*w + 0*w) in the form v*w + c*w**4 + t*w**3 + b*w**2 + r and give c.\nAnswer: -1736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 41, -139, -0.06, -1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55727 = 122*x - 61583 for x.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7)\/2*(-20)\/7 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6231634, 12463270, 18694906, 24926542?\n\"Answer: 6231636*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 178\/3, 61, -2, 0.1, 0.2 in decreasing order.\nAnswer: 61, 178\/3, 0.2, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 44166 = -4773. What is the thousands digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + l + 2*l**5)*(13 + 57 - 44) + 0*l**5 + l**5 - 3*l**5.\nAnswer: 50*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 23*l**2. Let o(h) = -5*h. Calculate o(v(t)).\nAnswer: -115*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -610.\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a + 406 = 27*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 28 - 16. Suppose s*t + 4 = 22. What is the remainder when 28 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2237*v**3 + 20*v + 7126. Let u(o) = 12303*o**3 + 108*o + 39195. Let x(f) = -27*l(f) + 5*u(f). What is the derivative of x(s) wrt s?\nAnswer: 3348*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 - -59. Solve -j*t - 3 = 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 846917058?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/3)\/(3\/(-27)). Let c(l) = -1. Let d(f) = -15051 + 5021 + 5015 + 3*f**2 + 5021. Calculate y*c(s) - d(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 2\/11, -0.3, 0.1, 4.8 in descending order.\nAnswer: 4.8, 2\/11, 0.1, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2724\/(-14982))\/((-2)\/(-374))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*h**3 - 56*h + 77*h**3 - 3*h**2 + 0*h**2 + 56*h.\nAnswer: -84*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 16*u**3 + 301*u**2 + 14*u + 14. Let g(k) = 7*k**3 + 151*k**2 + 6*k + 6. Determine -7*g(b) + 3*r(b).\nAnswer: -b**3 - 154*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14077.7848 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-748)\/2057 + 106\/(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2. Let d(p) = 249*p + 432. Let g(a) = d(a) + 7*h(a). Differentiate g(l) wrt l.\nAnswer: 249","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 57\/5 of a millennium?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 2*j - 3*f + 15, -4 = f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0454 + 0.0454773. Round c to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 389380, 389469, 389706, 390163, 390912, 392025?\nAnswer: 393574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**2 + 3. Let a be (30\/9)\/((-4)\/(-6)). Suppose a*j = 5*v - 1 - 9, 0 = -5*j. Let h be 1*v*6\/4. Let d(k) = 3*k**2 + 2. Give h*d(l) - 2*q(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 times -3.51?\nAnswer: 8.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -855 in -3, -6, 4, -1\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 - 3*g**3 + 11*g**2 - 23 + 124*g - 123*g + 6*g**2. Determine i(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1784203?\nAnswer: 1784203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1299 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -13.123?\nAnswer: 13.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2023558177 to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 11:13 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-2\/11)\/c))\/c**6*(c*c*c**(-2\/5)\/c*c)\/((c\/((c**(2\/17)\/c*c)\/c))\/c) assuming c is positive.\nAnswer: c**(-2899\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 94080*5\nAnswer: 470400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1505278*f + 37631963. Determine n(-25).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -142, -144, -148, -154, -162?\n\"Answer: -z**2 + z - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-840)\/(-24)*1\/5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(8) + -2.\nAnswer: -2 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j + j + (4 + 1 - 4)*(2*j - 4*j + j) - 4*j - 2*j - j)*(-4*j**2 - 4*j**2 + 6*j**2).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27018?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-7 + 0 + -2). Let m(j) = -j**3 + 8*j**2 + 2*j + 6. Is m(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**3\/3 - 4*m**2 - 7*m + 28. Let k be w(-6). Let i(b) = b. Let s be i(-1). Sort k, 2, s in decreasing order.\nAnswer: k, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.98732670163 minus -35?\nAnswer: -24.98732670163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h = -2*n - 4, 5*n + 34 = -h. Let j(x) = 9*x + 62. Let p be j(n). Solve p*r - 4*r - 16 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxrw when four letters picked without replacement from rrxrrwrrrrrrwrwww?\nAnswer: 11\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 10*l - 19. Let s be y(5). Suppose s + 3 = 9*o. Which is smaller: o or -1\/29?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**2. Let j(q) = -6*q**2 + 340*q - 172*q - 168*q. What is m(j(s))?\nAnswer: -108*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r + k - 8741 = -22*r, 4*r - 34969 = k. List the prime factors of r.\nAnswer: 2, 3, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.01 - 9. Sort -1, s, 5 in decreasing order.\nAnswer: 5, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19005*a + 19005*a + 564*a**2 + 632*a**2)*((-1 - a + 1)*(0 + 2 - 5) + (0 + 1 - 3)*(2 + a - 2)) to the form s*a**2 + c + q*a**3 + m*a and give q.\nAnswer: 1196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y - 410 = -150 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 278954 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6.5894 and -90524.\nAnswer: -90517.4106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m - 1. Let f be q(-2). Suppose 6*l - 1 - 5 = 0. What is the first derivative of 2 - n + l - f wrt n?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*sqrt(152)*-6)\/(1*(sqrt(8) + sqrt(64)\/sqrt(72) + sqrt(8))).\nAnswer: 450*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 142*a*q**2 - 12*a - 126160*q - 1869248 wrt q.\nAnswer: 284*a*q - 126160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1867200 and 1200.\nAnswer: 1867200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(2 - (-1)\/(-1)). Let u(g) = 1. Let r(m) = -3 + 2*m + 11 - 3*m. Suppose s - 4*y + 5*y + 2 = 0, -8 = -2*y. Determine n*r(l) + s*u(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**6\/75 + 3*f**5\/50 - f**4\/30 - f**3\/5 + 2*f**2\/5 + 6*f. Let w(m) = 0. Calculate m.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32860536 and 1056?\nAnswer: 1445863584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/5 (b) 4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2841*k - 2839*k - 54 = -14*p, 0 = 2*p - k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -21*o + 33. Let v(g) = 18*g - 27. Let b(m) = 3*t(m) + 4*v(m). Determine b(4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 1. Let l(d) = 2*d**3 - d**2 + 4. Let o(n) = n**3 - 3*n + 1. Suppose -w - 3*z = 0, -5*w + z = -w. Let h be o(w). What is h*l(m) - 4*r(m)?\nAnswer: 2*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + 2*d - 4*d)*(3 + 1273953*d**2 - 1272658*d**2 - 9)*((0 + d + 0)*(1 + 2 - 1) - 2 - d + 2) as y*d**4 + s*d**2 + z + u*d + t*d**3 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -344\/179 or -0.01876?\nAnswer: -0.01876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-45)*3*-2. Let a = -5\/7 - -73\/112. Put q, a, 5 in decreasing order.\nAnswer: 5, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -dd3 (base 16) to base 8\nAnswer: -6723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 30 and -68.5.\nAnswer: -38.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1718\/607 at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 3*d + 14 - 9)*(-5*d**2 - 2099*d + 9 + 2099*d) in the form v*d**3 + c*d**2 + t + i*d and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 268 and 2546.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + f - 12, -f + 9 = b - 2*f. Let v(q) = -b*q**2 + 8 - 4 + 0*q**3 + 7*q + 4 + q**3. Determine v(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m - 186. Let u be d(34). Solve -3*t = j + u - 3, -3*j - 2*t = 17 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -285 + 287. Which is the biggest value? (a) -4\/7 (b) s (c) 5 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t + 4. Suppose -4*z = -4 - 4. Suppose -z*j - 1 = -3*j. Let h(l) = l + 1. Determine j*n(b) - 4*h(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 142 + -99. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 - -89. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -985*b**2\/2 + 987*b\/2 - 1 = 0.\nAnswer: 2\/985, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10068680 and 38656.\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/((-1)\/(4\/(-8))). Suppose v*n - 3*n = 0. Suppose n*k + 364 = 4*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/60)*(((i*i**(-1))\/i)\/i*i)\/i)\/(i\/(i\/(i\/i**(-3\/13)))*i\/(i\/i**(-34))) assuming i is positive.\nAnswer: i**(24767\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 234 + -233. What is the remainder when 231 is divided by -3 - (-174*j)\/6?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1811824?\nAnswer: 2, 7, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 9:07 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22529, 22501, 22473, 22445?\n\"Answer: -28*v + 22557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2070*l - 4970*l - 9493*l + 143*l as s + k*l and give k.\nAnswer: -12250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6707 is divided by 869.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000203145 rounded to 7 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 32063046468 and 1.\nAnswer: 32063046469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-15)\/(-12))\/(31\/(-31)))\/(5\/((-80)\/(-1))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 2*z. Suppose -2*k - 3*k + 20 = z. Determine c, given that 4*c**k - 3*c**4 - 3*c**4 + 2*c**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 996967 is divided by 31155?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1044\/66 - 4\/(-22). Let n = 18 - a. Solve -d - 4 = 0, -n*d - 30 = 5*y - 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-422662)\/(-936024) - (-5)\/(-12).\nAnswer: 3\/86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 plus 1399999380?\nAnswer: 1399999681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/6)\/((-5)\/15). Let t be ((-30)\/4)\/(3\/(-6)). Let v = t + -5. Sort 4, h, v.\nAnswer: h, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10196 rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 16*l - 231. Solve -2*q + 1 - l = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, s: 2, h: 2, o: 3, c: 4}. Give prob of sequence sso.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 7 - -6 - ((1 - -2) + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 43*h + 49. Let q be d(6). Solve 0 = 2*j - z - 6, 4*z - q = 4*j - 23 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 250*b + 2 + 1 - 253*b - 2*b - b + b - 2*b + 0*b + b + (3 - 2 + 2)*(-2*b + b + 0*b) as d + i*b and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -402.\nAnswer: 160.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - d - 3, -l + 15 - 3 = -4*d. Suppose z - 6 - 29 = l. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -172.9 + 176.9. Let v be 2\/(1 + -9) + 0. What is the smallest value in d, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 2 + -3 + 4. What is the second derivative of 5*f + 5*f + f + 0*f**a - 4*f**4 wrt f?\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(456)\/sqrt(108))\/(sqrt(200)*-1).\nAnswer: -sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*f = 0. Suppose f = 2*k + 6, -5*r + k + 0*k = 17. Let c = 4 + r. Solve -3*q = 4*n - q - 18, c = -5*q + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 3:29 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/16 and (4212\/480)\/(-13)*(-1 - -7).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 10.3 (c) 116\/95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143 - 99.5.\nAnswer: 43.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7595 and 9065?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 3*t - 21, -3*f + 0*t = -4*t - 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(10) + sqrt(1210)) - (sqrt(20) + -2).\nAnswer: -23*sqrt(5)\/12 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (-20 - (3 - 9))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29877516?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6*(5 + 46\/(-9)) - -2\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7726 smaller than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3 + 1. Let l = p + -4.7. Let u = -1.3 + 1.4. Which is the nearest to u? (a) -0.5 (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11879 and 22547.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-3 - -1) - (49 - 61)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*l**2 - 6*l - 133 wrt l?\nAnswer: -22*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - l + 2. Let s be x(0). Let k be -2 + 3 - (-6)\/s. Let t = -3258 - -3263. Solve k*h = h - 3, 5*p + t*h - 15 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33\/20 - 3\/20. Put 4\/5, 5, h in decreasing order.\nAnswer: 5, h, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.6 + -17.9. Let v = -0.07 - 2.93. Let h = 28 - 28. Which is the closest to -2\/5? (a) h (b) v (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -131762037.000348 - -131761699. Let b = z - -338. What is b rounded to five decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*u - 2015 + 3400 = 56*u - 4277 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 10:32 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -222299, -222308, -222319, -222332, -222347?\n\"Answer: -j**2 - 6*j - 222292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 1056*s**2 - 2098*s + 3156.\nAnswer: -2*(s - 1)*(s + 3)*(s + 526)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2195956*f**5 - 444622*f**2 - 3*f - 1 wrt f?\nAnswer: 131757360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -3. Find the third derivative of -5*o**2 + 2*o**2 + 3*o**3 - 2*o**d - 3*o**3 wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 63476*d + 634663. Calculate c(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0, -2\/87, -5, -3\/2 in descending order.\nAnswer: 0.4, 0, -2\/87, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - ((-52)\/(-8))\/(4\/(-624)). Suppose 5*i = s + 443. What are the prime factors of i?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6031347*j**6 - j**2 - 151*j - 331 wrt j?\nAnswer: -723761640*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6)*2*6. Suppose -v*u - 3 = -3*w, -4 = -3*u + 5. Suppose 0 = w*p + 5*o - 80, -p - o + 11 = o. Calculate the greatest common factor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*t - 84 = -2*g, 0 = g + 4*t - 36. What is the remainder when 69 is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 - 43*t + 18. Let a be u(17). Let l be (-322)\/(-4)*88\/a. What is the greatest common factor of 23 and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*f**5 - 23*f**5 + 42*f**5)*(-1 - 1 + 3) + f**2 - f**2 + f**5 + (-4 + 4 + 3*f)*(0*f**4 - 3*f**4 + 4*f**4).\nAnswer: 5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 0 (b) 26368 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*j + 72, 4*j + 7 - 51 = -4*n. What is the remainder when 96 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 702 and 45?\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -8*q - 11. Let b be n(-1). What is the closest to -1\/4 in 0.2, b, 9\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 105.7, -8\/9, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 4*g**3\/3 - 8*g**2 - 11*g - 63. Let n(x) = -12*x**2 + 47*x + 32. Let h(k) = -11*l(k) - 4*n(k). Differentiate h(c) wrt c.\nAnswer: 8*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 3*n + 387552, -24*d = -22*d - 2*n - 258380. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 a, and 1 t when three letters picked without replacement from aqcqctaqqqqw?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 38 = 3*z - 2*z, -5*z + 124 = 3*a. Let f(t) = t**3 - t**2 - t + 44. Let x be f(0). Let p = x - 21. Calculate the highest common factor of p and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112 + 116. Suppose -z*w = -6*w + 42. Let o(h) = 2*h**3 - 4*h**2 + 2*h - 3. Let v be o(3). What is the greatest common divisor of w and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542420.\nAnswer: 2, 5, 37, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - b = 17*p + 69130, -4*p + 92167 = 5*b. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -244, -787, -1828, -3529, -6052, -9559?\nAnswer: -14212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2387*g + 26376 = -119231 for g.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-five thirds of a week?\nAnswer: 3080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 + -3 + 2 + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**3\/3 + 3*p**2\/2 - 4*p - 13. Let i be g(-7). Let y be (2 - 8)*i\/16. Is -8 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 + 63. Suppose 0*g = o*g - 356. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72*z**2 + 4*z + 16.\nAnswer: -4*(2*z - 1)*(9*z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -9. Let t(h) = 6*h**3 + h**2 - h + 1. Let y be t(1). Let m = y + b. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**8\/56 - h**4\/8 + 7*h**2. What is the second derivative of c(i) wrt i?\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 13*w**5\/5 + 7*w**4\/4 - w**3\/3 - 226*w**2 + 1648. Find the third derivative of x(s) wrt s.\nAnswer: 312*s + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 + 18*o + 74. Give t(13).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one fifths of a millennium?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 o when three letters picked without replacement from lqyolytvvolqtvv.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 168, 179, 196, 219, 248, 283?\n\"Answer: 3*u**2 + 2*u + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 + 16*j - 25. Let z be g(5). Let d(n) = 7*n**2 + 3*n - 6. Let r(c) = 3*c**2 + c - 3. What is z*r(m) - 2*d(m)?\nAnswer: m**2 - m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 - -1. Let q = 11813\/2 - 390089\/66. Let n = -36\/11 - q. Which is the closest to -0.1? (a) u (b) 0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 14*b - 12*b. What is the second biggest value in 3\/7, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/8 of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 45?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -38, -0.1, -54, -3, -0.11 in decreasing order.\nAnswer: 0.4, -0.1, -0.11, -3, -38, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 + 55 = -3*u + 5*l, 5*l - 57 = u. Let d be (-8)\/u + (-1582)\/(-8). What is the highest common factor of d and 132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19439757, -19439746, -19439735, -19439724, -19439713, -19439702?\nAnswer: -19439691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -c + j + 14, 2*c + 2*j + 8 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l + 51*l**2 + 0*l + 142 + 94*l**2 + 258*l**2 wrt l?\nAnswer: 806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/33 - 1745\/66. What is the common denominator of -105\/136 and i?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2293*x - 65 = -2306*x. Solve -7*d + 36 = x*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.7496646nm?\nAnswer: 0.0000007496646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/(p**2*p*p)*p))**(-9\/2)\/((p*(p*p\/(p*p\/p**(-6)))\/p*p)\/(p\/p**(-1))) assuming p is positive.\nAnswer: p**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2)*4*-1. Let j be (-25)\/(-15) - o\/6. Suppose j*h = 4*h - 98000. What is h rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -287 + 289. What is the closest to -23 in m, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6, 0 = -j - q - 4*q + 15. What is the third biggest value in j, -1\/5, -1\/8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 0*i**2 + 1 + 7*i - 23\/5*i**5 - 12\/5*i**6 + 8*i**4 - 8\/3*i**3. Solve a(m) = 0 for m.\nAnswer: -2, 0, 2\/9, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(9126\/845))\/(205\/(-6)).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - j + 24. What is the smallest common multiple of j and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (868\/120)\/(-7). Let y(k) be the third derivative of -w*k**5 + 0*k**3 + 0*k + 0 + 0*k**4 - 2*k**2. Let v(r) = r**2. Give v(y(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (0 - 0)) + 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5372186.3 to the nearest one hundred thousand.\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (48\/12)\/16*4. Sort -11, s, -4, 3 in increasing order.\nAnswer: -11, -4, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1653 + 12*n**2 + 2*n - 10*n**2 - 20*n**2 + 20*n**2 in the form w*n + v*n**2 + f and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.6 - 5.06. Let y = -0.14 + i. What is the third biggest value in y, 0.1, 4\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 433387310 to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -204.7 to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 101.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -u + 10. Let m be 2\/12*(-29)\/((-348)\/744) - 30\/3. Sort u, 0, m, -0.02 in descending order.\nAnswer: u, m, 0, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162) - -2*sqrt(162)) + sqrt(162))*2)**2*3.\nAnswer: 31104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44806, 89608, 134410?\nAnswer: 179212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2195a (base 14) to base 4.\nAnswer: -103320030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, g: 5, j: 2, z: 1, f: 4}. What is prob of picking 1 j and 1 f?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 4*p = -18, 0 = 4*u - p - 45 + 67 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -222097036, -222097029, -222097022, -222097015, -222097008?\nAnswer: -222097001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-5)*(-4)\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30396, -60788, -91180, -121572, -151964?\n\"Answer: -30392*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -133*n**5\/6 - 125*n**3\/3 + n**2 + 1085*n. What is the first derivative of m(t) wrt t?\nAnswer: -2660*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 minus 1258209862?\nAnswer: -1258209861.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/6)\/((-15)\/12). Suppose -l*z = 4*a - 328, 3*a + a = 4*z + 304. Let h = 81 - a. What is the remainder when 2 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*l - 157*l - 1221 = 1355 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 521, 1024, 1513, 1982, 2425, 2836, 3209?\n\"Answer: -o**3 - o**2 + 513*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.17699119 + 2.177. What is s rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4636003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 8, 4*q - 20 + 3 = -3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-460)\/(-75) + (-2)\/15 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) 2\/7 (b) -0.01 (c) 1\/339 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**3 - u**4 + 108 + u**2 - 109 + 0*u**4 - u**4 as s*u**3 + d*u**2 + n*u + t*u**4 + l and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1637941.5700074 - 1637941. Let q = -0.57 + z. Round q to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + 5*x**3 - 12*x**4 + 5*x**3 + 4*x**3 - 15*x**3 + 13 to o*x**4 + w + j*x + r*x**3 + n*x**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.67 - 0.37. Let i = -0.6 + -6.4. Which is smaller: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 o when three letters picked without replacement from {m: 2, o: 1, y: 4, v: 1, s: 11}.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 20011 (base 4) to base 16\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.215 + 2.245. Let n = z + -2.659. Let d = 0.2 + n. What is d rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 16*l**2 - 4*l + 64. Let o be y(16). Let k be 41\/(-3)*(-276)\/(-14). Let j = 269 + k. What is the second biggest value in o, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -6 + 8. Suppose n = a*d + 3*d - 27, -4*d - 4*n = -12. Let v(b) = 4*b**2 + b - 4. Let m(x) = 9*x**2 + x - 9. What is d*v(h) - 2*m(h)?\nAnswer: 2*h**2 + 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47063114 divided by -3857.\nAnswer: -12202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 263809 and 273?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413738481.\nAnswer: 3, 13, 10608679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97077*q = -97056*q - 336 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3010044km to micrometers.\nAnswer: 301004400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 2 + 22. Suppose 5*l - 4*l = 4*k + 313, 0 = 3*k - s*l + 238. Let r = k - -81. Solve 3*a + 27 = -3*b, -2*a - 13 = -r*b + 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 10, 680177 in decreasing order.\nAnswer: 680177, 10, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjms when four letters picked without replacement from {g: 3, m: 1, s: 2, u: 1, j: 7}.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3297241?\nAnswer: 19, 173539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5736 is divided by 1903.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(1\/4))**(-1\/4))**(-14\/3))**38 assuming t is positive.\nAnswer: t**(665\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11939 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b - 75 = 0. Let h = b + 26. Let n = 15 - 9. Calculate the remainder when h is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i = -28*i + 1950. Suppose 54*b - i*b - 13890 = 0. Is 27 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.03507 and -3.5.\nAnswer: -3.622745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/81354 and -83\/1596?\nAnswer: 3091452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*h = 1 - 5, -5*n - 4*h + 92 = 0. Calculate the remainder when 34\/(-204) + (-362)\/(-12) is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 21713.2 (b) -0.068 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n + 12. What is m(8)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 39*r + 4. Let s(n) = 8*n + 1. Let a(j) = 22*s(j) - 4*z(j). Is a(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**3 + 860*k**2 + 61292*k + 1446676 = 0 for k.\nAnswer: -77, -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dv when two letters picked without replacement from bvovdbv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196 and 9212.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*n**2 - 3\/2*n**4 + 0 + 0*n - 15\/8*n**3 - 3\/8*n**5.\nAnswer: -3*n**2*(n + 1)**2*(n + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, j: 1, s: 4}. What is prob of sequence jsp?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 31*s**2 - 36*s + 48. Give k(30).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-5 - (-6 - (7 + -5 + 3)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**4 - j**2 + j + 1. Let d(t) = 35*t**4 + 2*t**2 + 51*t - 2. Let b(g) = -5*d(g) - 10*w(g). Find the second derivative of b(h) wrt h.\nAnswer: -2220*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*3\/(-24)*16\/(-80).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**3 - 5*g - 7. Let k(p) be the third derivative of p**6\/120 - p**4\/24 - p**3\/6 + 59*p**2. Give -h(j) + 5*k(j).\nAnswer: 2*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1152*a - 133 = -1148*a - 39*h, 2*a - 4*a + h - 11 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*f - 2*j - 6, 4*j = -f + 13. Let c be (4\/(-12))\/(f\/9). Let v(h) = -h**3 - 3*h**2 - h + 2. Give v(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + i**2 - i + 9. Calculate the smallest common multiple of k(0) and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**6\/20 - 13*i**4\/24 - 7*i**3\/3 + 5111*i**2. What is y(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 - 59. Suppose 4*b = 3*y - 16 - 6, b + f = 3*y. Let n be 3\/(-3) + (-7 - -4) + 8. Solve -n*u = 14 + y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -1)\/(63 + -61). Let v(w) = -w**2 + 2. Let r(d) = -1. Let u = -2 + 0. Give k*v(z) + u*r(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.59941 (b) -2\/187 (c) 3\/2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(288) - (1 + sqrt(288))) + 5)**2 + (6*(6*(sqrt(2) + 1) + -5))**2.\nAnswer: 432*sqrt(2) + 2645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35128108?\nAnswer: 2, 2843, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/56 + 10*(-17)\/595. What is the closest to 21 in -0.2, s, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -2. Let p = 17 - b. Let w(q) = q**3 - 4*q**2 + 2*q - 2. What is w(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1459268*w + 1459308*w + 2160 = 0 for w.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14397969.\nAnswer: 3, 4799323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(6) + (sqrt(6) - (sqrt(6) + (sqrt(6) + -4*3*sqrt(6) - sqrt(6)))))\/sqrt(3))**2.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12, -2079, -7748, -18783, -36972?\n\"Answer: -298*k**3 - k**2 - 2*k + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + -1504?\nAnswer: -1467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 7237.7.\nAnswer: 7237.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1317, 0.27, -2\/7, -3 in decreasing order.\nAnswer: 0.27, 1\/4, -2\/7, -3, -1317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, z: 1, d: 6}. What is prob of picking 2 a, 1 z, and 1 d?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4 = -3*m, 5*m = 2*m. Let v be ((x\/(-1))\/1)\/(-1). Calculate the remainder when (20\/(-1))\/(v\/2) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 6)*(-4*l - 3*l + l)*(-3*l + 3*l + l**2).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/10*5 + -3. Let w = 7 + -7. Let n = w - 4. Which is the closest to j? (a) -0.2 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8675605798 and 3.\nAnswer: 8675605801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 302043 and 126735.\nAnswer: 1822829505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10809\/(-309) + (-1812)\/93318?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 10. Suppose m = 9*n - 7*n. Suppose -2*z = -n*z + 13025. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 - 174. Suppose -4*d - 320 = -3*w, -3*w - 97 + 403 = 3*d. Let t = w + m. Solve -t = 2*b - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78917 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 84848943551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -53\/2. Suppose -5*y = 4*v + 9, v - 5*y - 21 = 2*v. What is the nearest to -0.2 in -2, v, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 17, 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149136160 to the nearest integer?\nAnswer: 12212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 71.65039 millennia?\nAnswer: 859804.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -344 - -351. Solve -m*g + 8 = -5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104 - -50. What is the common denominator of -62\/3 and -3 + 0 + (-52)\/j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 903096 divided by 339.\nAnswer: 2664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l - 8. Let q be s(6). Suppose -4*b + p - 1 = -q, 0 = 3*b + 4*p - 2. Suppose -51 = -5*c - 3*u, -2*c + 124*u = 128*u - 12. Solve b*d = -d + c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356 = 2*y - 44*w + 68*w, -7*y + 2*w = 44 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 10:02 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 7*z**2 - 13*z + 11. Let u be l(-4). Find the common denominator of u\/9 - (-4524)\/(-2142) and 79\/136.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2. Let z(s) = -s - 4. Let f(m) be the second derivative of -m**3 - 21*m**2\/2 - 18*m. Let b(l) = -2*f(l) + 11*z(l). Determine -2*b(d) - 2*o(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -14473?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 + -1)*2\/(-3). Suppose -d = 4*m - 3*d + c, 3*m + 5*d - 10 = 0. Solve -2*n - a + 10 = -m*a, -4*a - 5 = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 40 = -1. What is the third derivative of 11*f**3 + 111*f**2 + q*f**3 - 103*f**2 wrt f?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-11 + (-10 - -9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - s - 16 = -6*s, t = 4*s - 5. Suppose r - 302 = -3*v + t*r, -3*r = -2*v + 203. Calculate the remainder when 14 is divided by v\/12 - 4\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in -35\/6, 1\/4, -79?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -1 - (7 + -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 6. Let i be y(0). Solve 3*x + 0 + i = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -133123?\nAnswer: -133113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w + 356 - 356. Suppose 15*r + 9*r - 96 = w. Sort -0.02, -1, 3, r in decreasing order.\nAnswer: r, 3, -0.02, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 6:19 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 2 + 4 + -3. Suppose -109 = -2*x - 3*h, -5*h = q*x - 63 - 56. Suppose -2*j = 2*j - 48. Calculate the remainder when x is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b - b**2 - 26 + 5*b + 46 - b - 13. Let c(l) = -2*l**3 + l**2 + l - 1. Let s be c(1). Let h be (2 + 1)*s - -10. Give i(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 106, 128, 160, 202, 254, 316?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 - 73. Suppose f = 6*t - 154 - 158. Is t a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -22, -47, -96, -175, -290, -447, -652?\nAnswer: -911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3470035?\nAnswer: 5, 41, 16927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*y - g, y + 47*g + 18 = 51*g. Factor -3*k**y - 15\/2*k**3 + 0 + 0*k.\nAnswer: -3*k**2*(5*k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-12) - 2\/(-1)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82323189*m**2 - 2*m - 8707812 wrt m.\nAnswer: -164646378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*2 + -2)*-5 + (2*sqrt(192)*-4*3)**2.\nAnswer: -40*sqrt(3) + 110602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.252 - 1.542. Let t = 0.11 - y. Let s = t - 1.3999964. Round s to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2946, 5865, 8784?\nAnswer: 11703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -141 at least -125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 + 210 - 69 - 59 - 65*v)*(2*v + 2*v - 2*v)*(-1 - 4 + 1).\nAnswer: 520*v**2 - 96*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(832) + 0) - (sqrt(637)*1 + -3 - sqrt(637) - sqrt(637)))**2.\nAnswer: 90*sqrt(13) + 2934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.535 - 1.835. What is the closest to 0.1 in -0.2, a, -7, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2. Let h(l) = -l**2 + 2*l**2 + 0*l**2 + 5*l**3. Let x(g) = -h(g) + 2*t(g). List the prime factors of x(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100 - -238. What are the prime factors of f?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399.0106207 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4\/5 - 241149*b**3\/5 + 3877868310*b**2 - 520202469645244*b\/5 + 32695859573869464\/5 = 0 for b.\nAnswer: 63, 80362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-832)\/(-3224)*(6\/8)\/(-3).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 353017519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 36 = 3*m, -4*m + 22 = 4*h - h. Solve -4*c + 20 = -2*x, 0 = -c - 3*x + 1 - h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.2, 0.02308, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 31*k + 145. Let z be s(6). Sort 5, 0.5, 1, z.\nAnswer: z, 0.5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**2 - 7*n + 1. Let z(j) = -j**3 + j**2 - 2*j + 1. Let a(f) = 5*i(f) - 5*z(f). Let a(m) = 0. Calculate m.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40000\/7*k - 2\/7*k**5 + 0 - 58*k**4 - 21204\/7*k**3 - 60800\/7*k**2 = 0. What is k?\nAnswer: -100, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162187 is divided by 50.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b = 10*b + 5719. Suppose g - 405 = -2*m, -2*g - b = -4*g + 3*m. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -9*o - 49. What is g(1)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2 + 2947*i = 0. What is i?\nAnswer: -2947, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-2)*(-1468)\/(-40370)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5771285 minus -253176?\nAnswer: -5518109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**3\/15 + 159*j**2\/5 - 25281*j\/5 + 3340. Factor k(m).\nAnswer: -(m - 159)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 895*c**3 + 3*c**2 - 6*c**2 + 3*c**2.\nAnswer: 895*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 628.\nAnswer: -11\/314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-114)\/(-20))\/(-3))\/(6\/45*1122\/(-1496)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 8)*(76*u - 134*u + 64*u).\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 4\/25*r**5 - 13*r + 0*r**6 + 0 - 2\/15*r**4 + 4\/5*r**2 - 2\/105*r**7 - 2\/5*r**3. Suppose f(j) = 0. Calculate j.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d - 220. Let u be c(112). Suppose 0 = 4*h + 19 - 59. Let z = -3 - -3. Solve 3*n + u - h = z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1811*q**5 - 3*q**4 - 3*q**3 + 1351*q**2 + 25 wrt q?\nAnswer: -108660*q**2 - 72*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**3 - i**2 + i. Let j be 3 - ((-3)\/3 - -3). Let v be r(j). Solve 2*k + 2 = -v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022958882 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 + 1330*l**2 - 2605*l. Let x(o) = -o**3 - 3*o**2 + o. Let f(v) = m(v) + 3*x(v). What is the second derivative of f(y) wrt y?\nAnswer: -6*y + 2642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 - 6*f + 4*f + 10252 + f - 12*f**3 - 377*f**4 - 10248 + 13*f**3 as b + h*f + v*f**3 + z*f**4 + m*f**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/2 - 2233941*z + 1663497463827\/2.\nAnswer: 3*(z - 744647)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a + 3. Let z(c) = c**3 - 2*c**2 - 2*c + 2. Let g = 11 + -5. Let j = g + -4. Let o be z(j). What is p(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*l = -202 + 526 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -869, -1738, -2607?\n\"Answer: -869*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/2*(2\/(-11) + 206\/1012)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*s - 1598*s**2 + 796*s**2 + 804*s**2.\nAnswer: 2*s**2 + 34*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2260771202?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -137464?\nAnswer: 137468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-934 - -1) + (-7 - -7). Round p to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 19*i**2 + 2*i - 11. What is the hundreds digit of m(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7862209 and 351?\nAnswer: 2759635359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 - -73. What is the remainder when 482 is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105*-7*(-11)\/(-385)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-309 + 309 + 24*o).\nAnswer: 48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - (-270)\/(-12))*(-8)\/10. Suppose z*m - 3*m - 5187 = 0. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = -670*p - 657*p + 1310*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2. Let v(k) = -1. Let z(q) = 14*q - 70. Suppose 12 = 3*h + 9. Let g(t) = h*z(t) - 70*v(t). Determine i(g(r)).\nAnswer: 588*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 146 and 5?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*w - 9*p = -62*w + 13, -3*w - p - 12 = 9 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.48, 1\/6, -7, 5, 0.5.\nAnswer: -7, 1\/6, 0.48, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -99 (c) -0.1709 (d) 0.4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12065\/3798 + -162\/211. Calculate the common denominator of s and 69\/62.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 20*t**4 - 2087525*t**3 - 3653220*t**2 - 1043785*t + 521890 = 0.\nAnswer: -1, 1\/4, 104378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**5\/10 - 2*f**2. Let d(a) = -213 + 5*a**2 + 416 - 203. What is d(o(j))?\nAnswer: 180*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 12 = -x. Let h(y) = -3*y - 1. Let j be h(x). Suppose -11*t + 113 = -107. Calculate the greatest common divisor of j and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - -411 - (4 + -2). Let v(d) = 318*d - 3426. Let o be v(11). What is the highest common factor of o and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -764955*z - 8019\/7*z**2 - 3\/7*z**3 + 766101.\nAnswer: -3*(z - 1)*(z + 1337)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -219761 - -219765. Find v such that -19\/9*v**3 + 0 - 1\/9*v**r - 112\/9*v**2 - 64\/3*v = 0.\nAnswer: -8, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 9*n**2 + n - 7. Let c be x(9). Suppose 0 = -c*l + 102 + 204. Suppose 34 = -3*s + 5*s. What is the highest common divisor of l and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2016\/(-3920) - 8\/(-10). What is the biggest value in -5, -0.2, 0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26371, 52729, 79087?\n\"Answer: 26358*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 8*z + 10 = -2*g, -4*z - 30 = 6*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 902 in decreasing order.\nAnswer: 902, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - g + 11 = 0, 0 = 5*k - 2*g + 81 - 55 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -999.9 + 999.75. Does g = -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*n + 13277 - 7240 - 6035.\nAnswer: -89*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -6. Suppose 4*q = 3*q - 136. Calculate the lowest common multiple of q\/(-6) + (-4)\/6 and z.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 5, -2*v - m = -4*v - 1. What is the units digit of (-1)\/(80\/(-26) - v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1536 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*y = -x + 5, -x + y = 0. Suppose -x = -w, -5*m + w + 3*w = 19. What is the nearest to 0 in 1, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 4*n - 6, 2*o - 18*n - 6 = -17*n. Suppose 2*d = 0, 0 = -2*u + o*d + 10 + 14. Calculate the greatest common factor of 192 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 8, -2*l + l = -3*u + 14. Solve 39 = 19*w - u*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83471 + 1688. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 12:23 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/654 and 149\/19167432.\nAnswer: 19167432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((858\/9)\/13)\/(-23*5\/(-690)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -200 + 389. Let l = -785 + 1339. Let a = l - s. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55357 + 1066. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -195*k**2 + 195*k**2 - 56*k**2 - 90*k**2 - 503*k**2 in the form u*k**2 + x*k + r and give u.\nAnswer: -649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(208) + 1 + sqrt(208) - (sqrt(208)*-1 + 2 - sqrt(208)))**2*-6.\nAnswer: -19992 + 384*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - 35. Let c = 17 - a. Let r(j) = 21*j**2 + 78*j + 111. Let o(b) = 3*b**2 + 11*b + 16. Let k(v) = c*r(v) - 27*o(v). Solve k(x) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -3*a - 0*z - 3*z, -a = 2*z - 30. Let i be (-2)\/3*3 + 4. Suppose -6*n + 56 = -i*n. Calculate the remainder when a is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -9, -8, 7\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 y when four letters picked without replacement from {v: 1, y: 5, o: 2, h: 3, k: 1, a: 1}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 181 divided by 181\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11602942?\nAnswer: 2, 13, 17, 26251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 28. Let r(z) = -z**3 - 16*z**2 + 19*z + 41. What is the lowest common multiple of 12 and r(l)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 591 = -2*d - 583, 4*d = 5*r + 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**3 + 91*t**2 + 2233*t.\nAnswer: 6*t + 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2. Let p(d) = 51*d**2 - 26*d**2 - 28*d**2. What is w(p(n))?\nAnswer: 18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 4. Suppose -3*s + 0*s + 38 = 4*u, 0 = -2*u - x*s + 16. Calculate the remainder when u is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**2 - 7*c + 7. Let u(r) = 9*r**2 + 3*r**2 - 8*r**2 + 20 + 0*r**2 - 20*r + 7*r**2. Determine 17*s(w) - 6*u(w).\nAnswer: 2*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 123 - -20. Suppose 5*d + 3*f - v = 6*f, -5*f = 4*d - 144. What is the remainder when d is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1370 + -970. Suppose -3*q = q - f. What is the units digit of 10*(-8)\/q*-5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11203 - -220013003?\nAnswer: 220001200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*b - 22*b + 52*b.\nAnswer: 86*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 17. Let z(h) = -h**3 + 3*h**2 - h - 9. Let a be z(d). Let q = -17 - a. Calculate the greatest common divisor of q and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13355 (base 6) to base 2.\nAnswer: 100000100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*a - 0*a. Let x(m) = 5*m**2 + 2*m - 2. Let w be x(a). Let z = 31 - w. What is the remainder when 17 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6524.\nAnswer: 2, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 789099036?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35 + -27207?\nAnswer: -27242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.51 times -0.06?\nAnswer: -1.5306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2084219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 43405020 (base 8) to base 9\nAnswer: 18457106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152577 is divided by 42?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 19*v**8\/336 + v**7\/42 - 13*v**6\/10 - 19*v**5\/15 + 26*v**4\/3 - 6*v**2 + 172*v. Determine t, given that w(t) = 0.\nAnswer: -2, 0, 1, 52\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36476 (base 12) in base 3?\nAnswer: 10201110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from {t: 1, c: 1, j: 2, d: 1, y: 2, x: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*h**3 + 3*h**2 + 81*h**3 + 4*h**3.\nAnswer: 110*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1)\/(6\/(-10614)*(2 - 1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4125 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18894*k - 367 - 76 + 443 to the form t*k + l and give t.\nAnswer: 18894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 1. Let k be (-3)\/6 - (20\/24)\/1. Which is smaller: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.4 - -29.4. Let t = 26.3 - p. Let y be (-4)\/26 + 86\/52. Which is the closest to y? (a) t (b) 2\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2*g + 5 + 5, i - 4*g = -20. Let y(w) = w. Let c be y(3). Solve -3 = -2*u - 4*d - d, i = -3*u - c*d + 9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 1 (b) -5.11 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 r when three letters picked without replacement from rirrrirrrrrrriirrrr?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0, 4, -2\/69, 0.4.\nAnswer: -2\/5, -2\/69, 0, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15708 = -0*t + 11*t. What are the prime factors of t?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.3 + -8. Let m = j - 0.28. Let s = -1.98 - m. Sort -0.2, -2\/7, s in descending order.\nAnswer: -0.2, -2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/24*(-1983)\/4 + 68 + 13525\/(-200)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g\/g**(1\/3)*g))**(-11) assuming g is positive.\nAnswer: g**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n**3 + 6*n**2 - 7*n + 5. Let s be t(2). Let p(y) = -y**3 - 42*y**2 - 41*y + 8. What is the remainder when 271 is divided by p(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*(-1413)\/10 + (198432\/795)\/208?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + (sqrt(1300)*-2 + -2)**2 + -4 + 2 + (sqrt(13) - sqrt(13)*3)).\nAnswer: -10404 - 156*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 23792 (c) 34 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - 41?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r + 0 - 3 + 0 + 0*r. Let o be c(4). Solve -4*x = -0*x - d - 1, -5*x - o*d = 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 31*g + 160. Calculate h(-12).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 + (-3 - (-6 + 2)) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1976?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3.5, 0.5899, 1\/37, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 238, 477, 716?\n\"Answer: 239*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1368485099?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**5 + 14*a**4 + 16*a**3.\nAnswer: -2*a**3*(a - 8)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12483 - 241.\nAnswer: 12242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/10 and (-5723)\/2910*(-1)\/((-10)\/3).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/sqrt(2) + 5 + sqrt(8))*5*-1.\nAnswer: -20*sqrt(2) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 16. Let u be c(11). Let h = -9 + u. Let k be -5 + (h\/(-2))\/(-2). Which is smaller: -5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17526*o**2 - 35057*o**2 + 111 + 17534*o**2 + 651 to the form x*o + p + j*o**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 28 (b) -4\/9 (c) 10 (d) -625 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**3 + 108*s - 21*s**2 - s**3 - 15*s**2 + 216 - 25*s**3 - 4*s**4 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4321 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 255 in 0.6, 10.37, 5?\nAnswer: 10.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*p**2 - 3 - 2*p**3 - 59*p**2 + p**4 + 209*p**2 as x + u*p**2 + y*p + l*p**3 + n*p**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -3. Let u = 29 + -30. Sort u, t, 5 in increasing order.\nAnswer: t, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14498764939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27613, 28028, 28723, 29698?\n\"Answer: 140*s**2 - 5*s + 27478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 9:45 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkddkkkkdkk.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6412\/(-224) + 23 - (-180)\/160.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/5)\/i**(1\/5)*i*i**(-3\/4)*i*i**5\/i*i*(i\/(i\/(i*i\/i**0*i)))**6*((i*i\/((i**1*i)\/i*i))\/i*i)**46 assuming i is positive.\nAnswer: i**(97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - c8?\nAnswer: -c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12459924388.642 + 34?\nAnswer: -12459924354.642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -142, -0.1, -1, -6\/25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127360 = -37*o + 108*o - 51*o. Does 32 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-4)\/(-48))\/(41\/(-202704)*-48).\nAnswer: 103\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*h + 3*t - 1, 4*t = 12. Let r be -9 + (-180)\/(-27) + 0 + h. Suppose 3*a - 4 - 11 = 0. Is a > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + p - 19, -f + 6*f - 2*p = 14. Suppose -f = -3*o + o. Let u = -7564\/3 - -2522. Which is bigger: o or u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -157, -7.2, 0.125?\nAnswer: 0.125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-6 + 6) - 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**2 + 61119*r - 61122 = 0. What is r?\nAnswer: -20374, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 663.6216 micrograms?\nAnswer: 0.0000000006636216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -h + 3. Let z be h\/15 - 46\/(-10). Is z\/(15\/(-6)) - -4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23\/30 - 1\/30. Suppose 5*n = 3*w - 31, n + 21 = 3*w - 2*n. Let o be (-3 + w)*(1 - 0). Which is bigger: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 122 + 463*s - 761 - 341*s + 272*s with respect to s.\nAnswer: 394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*z - 2 = 0, -4*u - z + 2 - 3 = 0. Suppose -x = -3, -5*m + 2*x + 5 = -3*x. Solve 2*y = -u*y - m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3174?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-1\/4)*r)*r**(-1\/17))\/((r**(2\/7)\/r)\/r*r**(4\/7)\/r*r) assuming r is positive.\nAnswer: r**(635\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*f + 147*f - 69*f + 112 = 0 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 4*j + 1. Let z = 26 + -8. Let b be ((-12)\/z)\/(2\/6). Let k be (0 + 1)*b - 2. Give n(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1) - -2)*15*5\/(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1886*97.8.\nAnswer: -18.44508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887*w - 541*w - 3806 = 0 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7708\/2460 - (-4)\/6.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -61*g**2 - 17*g**2 - g**2 + 17*g**2. Let f(n) = 3*n. Give z(f(c)).\nAnswer: -558*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(72) + -3 + sqrt(72) + sqrt(72) - (sqrt(72) + sqrt(72) + 5*(sqrt(72) - (sqrt(72) + 0)))) + 5)**2.\nAnswer: -120*sqrt(2) + 1804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2572 * -1.6.\nAnswer: 4115.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28071*p + 4*t - 3*t + 2*t - 50 = -28076*p, 5*p = 3*t - 40 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 244339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 + 204*d - 453. Is 59 a factor of k(-90)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - w - 4*w)*(-2*w + 5*w - w + (0 - 2 + 1)*(3 - w - 3) + 37*w + 13*w - 15*w) as g + o*w + d*w**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4597 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 4*z**2 - 2*z - 4. Is c(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.59 - -0.6343. Let g = m - -0.3557. Which is the closest to -1? (a) g (b) -3\/7 (c) 4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17916 divide 2917978920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 574 and 1325366?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 6*i - 1. Let h be c(6). Let p be h - 3\/(27\/(-6)). Which is greater: p or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - (1 + (-647 - 3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*d + 3 + 498*d - 139*d - 126*d - 136*d.\nAnswer: -31*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/46280 and -29\/400.\nAnswer: 462800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 28*m - 43. Let v(b) = -44*b + 66. Let f(l) = 8*p(l) + 5*v(l). What is f(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 10*b**2 + 40*b + 196. What is q(-4)?\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -82, -124, -166, -208?\n\"Answer: -42*u - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-6) - 8\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3134343121.\nAnswer: 7, 13, 2649487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 60*d**2 - 145*d + 210.\nAnswer: -5*(d - 1)*(d + 6)*(d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 6*q - 4*q + 9 = 5*q, -42 - 30 = 46*q + 112 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*a + 99*a - 298*a + 101*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30.09 - -394.89. Let l = c + -333. Let k = l - 43. What is k rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23988, -95948, -215880, -383784?\n\"Answer: -23986*z**2 - 2*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69325 is divided by 521.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 - -404?\nAnswer: 3aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -826*z**2 - 12*z**3 - z**3 + 848*z**2 - 2*z as n + w*z**2 + m*z**3 + l*z and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6532 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: Suppose -12 = -5*v + 13. Suppose 0 = -v*o + 5 + 15. Suppose -3*n = n - 16. Solve 2*i = 6*i - n*z, i + 3*z = -o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46 * -155.3.\nAnswer: -7143.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*j + 124000, -3*g = -3*j - 2*j + 155000. What is j rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/2)\/(10\/80*-70).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.63992964 rounded to 0 decimal places?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wynnhhnn. Give prob of picking 2 h, 1 y, and 1 w.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -155100 to the nearest one thousand.\nAnswer: -155000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 95236951213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -4, -41, -0.5, -49\/25 in decreasing order.\nAnswer: -0.01, -0.5, -49\/25, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g**2\/7 + 21477*g\/7 + 16101\/7 = 0 for g.\nAnswer: -1789, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96297*r**2 + 771*r - 51 wrt r?\nAnswer: 192594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9172.005m?\nAnswer: 9172005000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6087 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -69, -1227, -4375, -10509, -20625, -35719, -56787?\n\"Answer: -166*o**3 + o**2 + o + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.299?\nAnswer: -0.1196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 50 = 3*h, -3*r - r = -4*h - 72. Let j = h - -25. Suppose 2*x - j + 5 = 0. Solve x*a = -0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 3102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31286 rounded to 3 dps?\nAnswer: -0.313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13.8 - 875816\nAnswer: -875829.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32424*g*j**3*m**3 + 2*g - 2*j**2*m**3 - 14*j**2 + 100*j*m**3 + j*m**2 wrt j?\nAnswer: -194544*g*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 191, 4, 2, -5 in decreasing order.\nAnswer: 191, 4, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43749 is divided by 6353?\nAnswer: 5631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 333 - 995\/3. Find p such that 4\/3 - z*p**2 + 2\/3*p - 2\/3*p**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 - 0.14. What is the second biggest value in -5, y, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l. Let g(u) = 6 - 3*u - 1221*u**2 + 0*u - 6 + 5*u. What is p(g(y))?\nAnswer: 1221*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - (-117)\/6)*4\/5. Suppose 3*l + 694 = 2*v, 19*v - t*v = 5*l + 340. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*r + 259*r - 7700 = -377*r - 398*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 259066226?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaxxa. Give prob of picking 1 x and 1 a.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0*o. Suppose -5*t = -o*t + 10. Which is the closest to -1\/2? (a) t (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 81, 161, 239, 315, 389, 461?\n\"Answer: -o**2 + 83*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*((-4*n + n - n)*(n - 1 + 1) + 7*n**2 + 20*n**2 - n**2).\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + -9 - -3) + (8 - (-10 - 22))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 + 14*v. Let l(c) = 2*c**2 + 9*c. Let u(x) = x**2 + 7*x - 7. Let a be u(-8). Suppose a = m + 6. What is m*i(j) + 8*l(j)?\nAnswer: j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-22\/7)*(h*h*h**15)\/h)\/(h**(4\/13)*h\/h**(-19)*h) assuming h is positive.\nAnswer: h**(-769\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8838, -8779, -8614, -8289, -7750, -6943, -5814?\nAnswer: -4309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + k**2 + 8*k - 7. Calculate y(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2287677 is divided by 285940?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25201406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 411, 410, 407, 402, 395, 386?\n\"Answer: -n**2 + 2*n + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1801405562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -3, 0.2, 38, 35?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.2 (b) -9\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328168334?\nAnswer: 2, 13, 2917, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.18 in 6, 0.13, -3\/4, 0, 3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -23*y + 12*y - 78 - 20*y + y**2 - 384 = 0.\nAnswer: -11, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 4*x - 5. Let u(j) = -j**3 + 10*j**2 - 10*j + 2. Let t be u(9). Is n(t) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*d + 2*d - 8*d.\nAnswer: -34*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**2. Let h(p) = 2*p**2 + 25055*p. Calculate h(d(v)).\nAnswer: 50*v**4 - 125275*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.02 (b) -5 (c) 966 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, e: 1, p: 1, a: 8, d: 4, n: 1}. What is prob of sequence dzep?\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 691.\nAnswer: 5\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 + -312\/7. Is w != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -676569697 divided by -2537\nAnswer: 266681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -245.42952 + -0.13048. Let i = o - -250. What is i rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*n - 4 = -144*n, 24 = -4*d + n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-65))\/(-6)*-5.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3955276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/(-1656)*45\/10.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 7*j - 3. Let a be w(7). Suppose 0 = 2*r + 37 - 1. What are the prime factors of (r\/8)\/(a\/8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-52)*12 + 349\/(-39)*1?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 2*p + 12. What is q(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -9*k**2 - 9. Let x(i) = -9*i**2 - 10. Suppose -4*d = 23 + 1. Let h(v) = d*f(v) + 5*x(v). What is the derivative of h(a) wrt a?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 32 + 30 - 62 = 0. Let y(s) be the second derivative of 0 - 15*s + 5\/6*s**3 + d*s**2. Let o(x) = -5*x**2. Give y(o(m)).\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 1323.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 16*z - 7. Give f(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299887 is divided by 99946.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4033020456?\nAnswer: 2, 3, 76837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3152757748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -607*t + 613*t = 159966. What are the prime factors of t?\nAnswer: 3, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 15, -0.5, 0.3, -1, -139?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7\/2 (b) -5 (c) 194 (d) 2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 139474 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -554 + 610. Calculate the greatest common divisor of 21 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -4 + -3 + 0 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z + 15 - 6*z + 16 - 32. Calculate m(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36663540 + -165?\nAnswer: 36663342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*x + 15477 = 60*x + 57*x + 167*x for x.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 4:00 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3934913966 to the power of 1\/4, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3 + 2*f**2 + 1. Does 6 divide m(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.2948510248781 from -4.\nAnswer: -5.2948510248781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 2104*f - 12595. Calculate z(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*-2135.\nAnswer: 1708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20*(-6)\/9*162\/10. Let d = -213 - c. Solve -n = -d - 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**4\/24 + 5*v**3\/6 + 3*v**2. Is m(6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -451809 divided by -7?\nAnswer: 451809\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 - -1c?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10038.\nAnswer: 2, 3, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1394, -1387, -1382, -1379, -1378?\nAnswer: -1379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.6 + 7. Let a = -139\/5 - -137\/5. Which is smaller: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/14 and -45\/56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 3*j**2 - j + 4. Let n be g(4). Find the common denominator of (2\/(-16))\/((-18)\/8) and (-3)\/n*1016\/(-18).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104.21 + 110. Let q = t + -60. Let r = 54 + q. Which is smaller: r or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 12) to base 14.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 0*o**2 + o**2)*(-3 + 6 - 4 + (4 + 0 - 5)*(-3 + 2 + 3) + 3 + 0 - 5 - 4 + 2 + 0).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 10. Suppose 11*o = 6*o - t. Let v = o + 39. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -321 + 176. Let k = a - -160.44. What is k rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*s**2 + 16*s**2 + 29*s**2 + 15*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ueeeeueeuebeue. Give prob of sequence ebee.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**4 + 0*v**4 - 12*v**4 + (24*v**2 + 9*v**2 - 3*v**2)*(0*v**2 - 4*v**2 + 6*v**2) to z*v**4 + k*v**3 + r*v + i*v**2 + o and give z.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**5\/390 + f**4\/78 - f**3\/13 + 8*f**2 - f. Let t(c) be the first derivative of p(c). Determine y, given that t(y) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12, 5, 1, 1807, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (sqrt(133) + -6*(sqrt(133) + (-2*sqrt(133) - sqrt(133)))))\/(sqrt(7)*1*4).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 12*z + 30*z - 8*z**2 + 2*z + 30 - 5*z - 19*z**3 = 0 for z.\nAnswer: -1, 30\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -4\/3, -4 in descending order.\nAnswer: 19, -4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(65) - 2*sqrt(65)*5) + sqrt(65)))\/(sqrt(30)\/(sqrt(6) + sqrt(864)*-4))*-3 + -3.\nAnswer: -6768*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 + 34 + 28)*(-4*o + 5*o + 4*o).\nAnswer: 510*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.19283 kilograms to micrograms.\nAnswer: 40192830000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -706, -707, -710, -715, -722?\n\"Answer: -k**2 + 2*k - 707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a kilometer in meters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*j**3 + 78*j**3 + 20*j**3 + 2*j**2 as d*j**2 + i*j + w*j**3 + g and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 4:38 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (sqrt(152)\/sqrt(72) - (sqrt(114)\/sqrt(6) + sqrt(19))*-6)).\nAnswer: -74*sqrt(19) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 263 in 4\/3, 2, 1.1, -23.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 142465908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -21574\nAnswer: 4314.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1693?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22312 + 2?\nAnswer: -22310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000127094008 to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is aa60 + -2?\nAnswer: aa59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 3*y + 276. Let j be b(0). Suppose -66*i = -63*i - j. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4*q**3 + q**2 - 25\/4*q**5 + 5\/4*q**4 + 0*q.\nAnswer: -q**2*(q - 1)*(5*q + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 3461631\nAnswer: -1\/1153877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 88*u**7\/7 + u**6\/3 - 373*u**3 - 475. Find the third derivative of z(y) wrt y.\nAnswer: 10560*y**3 + 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 23 + 193 = 0. Let l = j + -49. Suppose l*z = -0*z + 595. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 90*i**2 + 18*i - 16. Calculate the lowest common multiple of 78 and o(1).\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from jnnn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 11:55 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 28*v = -25*v - 3183, 5*v = 4*t - 12732. List the prime factors of t.\nAnswer: 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14725*z - 74134 + 37063 + 37071 as h + n*z and give n.\nAnswer: 14725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 765005 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26515126 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0457, 1\/3, 3, 823 in increasing order.\nAnswer: 0.0457, 1\/3, 3, 823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22052567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*b**4 - 3912*b**3 + 70*b**2 - 557.\nAnswer: -1032*b - 23472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -315 times -0.68\nAnswer: 214.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 305414329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, s: 5, c: 8}. Give prob of sequence ooc.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = 6*w - 42. Solve 4*z - 14 = -w*x, 5*z + 1 = -4*x + 18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**6 - 18*j**4 + 9*j**3 + 2474*j**2 wrt j?\nAnswer: 120*j**3 - 432*j + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llo when three letters picked without replacement from {o: 4, l: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97 - -91. Is h greater than or equal to 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5924*f + 194. Let h(q) = 2962*q + 83. What is -7*h(c) + 3*x(c)?\nAnswer: -2962*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50277504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itibmmmiiiixitmii. Give prob of picking 1 x and 1 i.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 15*c**2 + c**3 - c - 3*c**2 - 2*c**2 - 3 - 4*c**2. Let p be x(-6). What is the second derivative of 4*m + 6*m**4 + p - 5 + 2 wrt m?\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 10695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**5\/20 - 3*t**4\/4 + 5*t**3\/3 + 4*t**2 + 5*t. Calculate the least common multiple of y(-10) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*n - x, 3*x + 5 = 5*n - 4. Suppose -3*d + 665 = -4*t, d + 6*t = n*t + 226. List the prime factors of d.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.271 + -938.\nAnswer: -937.729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5\/3 (b) -0.5 (c) 51 (d) 0 (e) -46 (f) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100593 + 173104. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0\/(18\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2286 and 3.\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -55*g**3 - 5*g**2 - 6*g - 16. Let c(t) = 6*t**2 + 0*t**2 - 6*t**2 - t**2 - 3 - t - 11*t**3. Let w(s) = -11*c(s) + 2*l(s). Calculate w(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 + 3. Let z(c) be the first derivative of 0*c - 13 + 0*c**2 - 1\/3*c**3. Calculate q(z(f)).\nAnswer: -2*f**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 5. Let l be m(8). Let b(z) be the second derivative of -2*z - 2\/3*z**l + 0*z**2 + 0. Let w(g) = 2*g**2. Give w(b(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 2\/3789?\nAnswer: 2\/3789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*c**2 - 48567 + 24294 + 24312 + 2*c**2 as d + r*c**2 + h*c and give d.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**2 - 135*l - 140 = 0.\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/4)\/((-3)\/(-12)). Suppose 4*l = -h - 9 + 3, 3*h = -q. Suppose -2*g - 8 = -b + 1, 0 = -2*g + 2*b - 14. Put g, l, 1 in descending order.\nAnswer: 1, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/5)\/((-52)\/(-10) + -5). What is the nearest to x in -4\/7, 0, 2\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2041 - 218383\/107. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -112\/3 + 37. Let l = -3 + 1. Let k be (1\/l)\/(14\/16). Put d, 4, k in ascending order.\nAnswer: k, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3, 0.4, -1\/5, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -163567, -164290, -165013, -165736?\n\"Answer: -723*p - 162844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 5*h**3 + 16 + 2*h**2 - 9 - 16 + 187*h**3 to the form m*h**2 + d + g*h**3 + t*h and give g.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*t - 128 + 128)*(6 - 6 + 8)*(2 - 2 - 2*t**2).\nAnswer: 144*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 253590019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 71 + 235 = 0. Let o = u - -61. Let c = o + -11. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100022222022122 (base 3) to base 11.\nAnswer: -2888266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 10*c - 58. Let m be v(19). Suppose -3*n = -0*n - m. Suppose -3*f - n = -h + 33, f - 433 = -5*h. Calculate the remainder when h is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.067 + -116.933. Let h = 117.0000424 + x. Round h to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1\/4, 1\/13, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*j + 49, -2*j + 4*h = -2 + 6. Solve 2*n - 11 = -t - 3*n, j = -2*t + 5*n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-582)\/(-8) + 3\/12. Let p be (12\/(-9))\/2*-3. Suppose h = 4*b - p*o + 3*o, 0 = -3*b - 3*o + 66. Calculate the greatest common factor of b and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 79*a**5 - 4*a**3 - 399*a**2 + 2. Let v(b) = b**5 - b**3 - 2*b**2 + 1. Let c(y) = -k(y) + 2*v(y). Find the third derivative of c(i) wrt i.\nAnswer: -4620*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**24\/q**(-29\/2))**(1\/6) assuming q is positive.\nAnswer: q**(77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 * 960640.4\nAnswer: 1825216.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21 + -8 - -10) + -8 - 51) + 9?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 261.068 to the nearest 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by -1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 273 and 7098.\nAnswer: 7098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = -5*o. Let h = o + 1. What is the biggest value in h, -1\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45780 + -45780.31121. Round s to three dps.\nAnswer: -0.311","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - 154?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 358609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 14)*(5*c - 4*c**3 - 4*c + 2*c**3).\nAnswer: -20*c**3 + 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4*(sqrt(4400) + (sqrt(4400) - -2*sqrt(4400))) - sqrt(4400))\/(sqrt(400)*-2*-2))**2.\nAnswer: -17*sqrt(11) + 3243\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 723437 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: Express (0 + 13 + 6)*((c + 0*c - 3*c)*(-3 + 2 + 3) - 2*c + c - c) as b + i*c and give i.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.9 + 18. What is the third smallest value in 0.5, -3, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 12*j**3 - 4*j**2 - 4*j + 12. Let m(o) = 11*o**3 - 3*o**2 - 3*o + 11. Let l(d) = -4*m(d) + 3*n(d). Differentiate l(g) wrt g.\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -152 (base 8) to base 6\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*t - 14 - 1, -12 = 3*t. Let y = 3 + j. Let d(v) = -204*v + 11. Calculate the smallest common multiple of d(0) and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 15517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 9:33 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 140 = -2*z. Suppose 0 = -z*c + 22*c - 12014. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2474515?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from gii?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, p: 3, h: 2}. What is prob of sequence ssh?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 88643, 88762, 88881, 89000?\n\"Answer: 119*k + 88524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -2\/17 (b) -0.5 (c) 238 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -161131, -644327, -1449583, -2576899, -4026275, -5797711, -7891207?\n\"Answer: -161030*d**2 - 106*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -7020486 at most -7020485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from ovv?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 1154231.\nAnswer: 1154235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (16 - (-3 - -13)) - 83 - (-3 - 1)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1170662 and 185112.\nAnswer: 126431496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9917152, 9917155, 9917158, 9917161?\n\"Answer: 3*l + 9917149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1074.256427 to zero decimal places.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2\/11 (b) -2\/19 (c) -0.04 (d) -336 (e) 103 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11602 - 8253. Is c a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -260229, -520444, -780673, -1040922, -1301197, -1561504, -1821849, -2082238?\n\"Answer: -f**3 - f**2 - 260205*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2763*l - 1638910 = -2776*l. Round l to the nearest 1000.\nAnswer: 126000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1141478 rounded to 3 decimal places?\nAnswer: -0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 w when three letters picked without replacement from {i: 3, a: 3, w: 4, s: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 7*j = -2280. Calculate the remainder when 35 is divided by (j\/24 - -2) + 1\/6.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 216128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t**3 - t**4 + 2*t + 3*t**4 + 2*t**2 + 3*t**2 - t**2 - 1 to the form h + y*t**2 + j*t**4 + k*t + s*t**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.6 - 3.3. Let q = 4 - i. Let u = q - -0.3. Are u and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6147, 6148, 6149, 6150, 6151, 6152?\n\"Answer: k + 6146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0*g + 2*g + 104, -5*f + 130 = 3*g. Let c = f - 28. Let j be (c - 2) + 8 + -1. Solve -j*l = -i - 7, -3*i - l = -4*l + 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-1*sqrt(33))\/sqrt(11))**2 + 4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, -39, -120, 1 in increasing order.\nAnswer: -120, -39, -7, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 32104732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 9, -2.6, 2\/9, -93, -7, 5?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13260 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11221 (base 5) in base 14?\nAnswer: 41d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + -3 - -6 - -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9, -56, -275, -738, -1535, -2756?\n\"Answer: -15*g**3 + 13*g**2 + g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -2.611?\nAnswer: 2.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1313 is divided by 329?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4351 + 4469. Suppose 199 = 3*t + 5*n, 4*t - 242 = -0*t + 5*n. Let z = l - t. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125321993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7762 + -7725 - 260\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/112 and -67\/14949072.\nAnswer: 104643504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.08, 1, 0, -1\/4, 160, 0.23, -0.5?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1307300 rounded to the nearest ten thousand?\nAnswer: 1310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 0, -2*b = -4*s - 572 + 8148. What are the prime factors of s?\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/27 and 95\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 890, 1818, 2802, 3848, 4962, 6150?\nAnswer: 7418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 2891*x**2\/2 - 2678*x - 357. Differentiate o(w) with respect to w.\nAnswer: 2891","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-9))\/((-2)\/3). Let a(s) = 2 + 4*s**2 - s**3 - s + 0*s**2 + s - s. Determine a(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a factor of 506085101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5978 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14560 is divided by 451.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/4*11\/2*-11. Suppose 3*z - g = -5*h, -8 = 4*z + 4. What is the highest common factor of 39 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 20*o**2 - o + 112. Let z be l(0). Calculate the highest common divisor of 176 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10306 less than or equal to -10302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 17*p**2 + 30*p + 3. Let n be a(-15). Calculate the remainder when -1*n\/6 - (-140)\/8 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 11. Let q = 12 - 6. What is the third derivative of x*w - w**4 + w**2 - q*w wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + g - 6. Let h be o(0). Let j(u) = u**3 + 7*u**2 + 5*u. Let n be j(h). What is the remainder when 53 is divided by 35\/2 - (-3)\/n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44825 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*g + 321 - 645 = 581. Let x be 18\/8 + (-2)\/8. Suppose -2*p + g*i - 4 = 0, 4*p - x*i - 16 = -4*i. Solve p*c + 0 = 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 1 (c) -0.0435\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 99 = -4*z - 35, 4*q + 32 = 2*z. What is the remainder when 17 is divided by 3 - 1 - (-4)\/(z\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 17 = -5*j, 2*w - 3*w - 2 = 4*j. Let z be w*(-9 + 13)*1\/(-2). Suppose -8*b = -z*b + 388. Is 32 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 41. Suppose 0*u = 2*u - 4. Calculate the greatest common factor of u and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101000111 (base 2) in base 7?\nAnswer: 6632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 3 - (39 + -70 + 29).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*c**5 + 308*c**2 - 4*c**6 - 4*c**6 - 292*c**2 wrt c?\nAnswer: -960*c**3 + 600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 2*o**2 - o**2)*((2*o + o - 5*o)*(-4*o + 3*o + 0*o) + 5*o + 2*o**2 - 5*o)*(4*o - 4*o + o).\nAnswer: 8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153 and 900.\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/7 - 11028*a**3\/7 + 15202098*a**2\/7.\nAnswer: 2*a**2*(a - 2757)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 5. Let c(w) = -w + 3. Let s(f) = -5*c(f) + 3*l(f). Let h(q) = 5*q - 1. Determine -h(n) - 6*s(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0814 and -4.\nAnswer: -0.3256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1006330 + 1006330.2. Let g = -8 + 7.4. Sort -1, j, 0.3, g.\nAnswer: -1, g, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7*o = -56. Let h be (-2 + 1)\/(7\/(245\/o)). Which is the third biggest value? (a) 1\/7 (b) 0.4 (c) 3\/4 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 10:06 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54513975 less than -0.1?\nAnswer: -54513975.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(242)*-5*-4*-5 + (3*(sqrt(2) + -1)*-3 - sqrt(22)\/(sqrt(11) + (sqrt(88)*1 - sqrt(88))\/sqrt(8))))**2*2.\nAnswer: -39960*sqrt(2) + 4928562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a century in years?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1171633, 2343247, 3514827, 4686355, 5857813?\nAnswer: 7029183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3344.619 to the nearest 100.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 16. Suppose n - 27 = t. Let r be 6\/t + 6\/40. Are r and 12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33.74 - 33.69. Sort q, 16, 3.\nAnswer: q, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwmwffwffkwm. Give prob of sequence wmwk.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0071 rounded to two dps?\nAnswer: -1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262973*f + 1778 = -263049*f - 2174 for f.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2277 - -2277. Solve -4*j - 4*a = h, 1 + 4 = 4*j - a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*n + 37 = 5, -4*h - 5*n - 4 = 0. Let t = 3583774 + -1952351. Suppose -h*m = -t - 8577. What is m rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -374\/105 - -24\/7. Which is the nearest to 0? (a) r (b) -0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*f - 39, 3*f + 1 = o + 4. Suppose -o*n + n = -5. Suppose 2*w + 14 = 2*c, 0 - 9 = -c + 3*w. Solve t + n = c*m - 5*m, 0 = -5*t - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*i + 26*i - 76*i - 4 to s*i + k and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Suppose 5*h - y = -3*y + 32, -h = 4*y + 8. Suppose 10*t = 8*t + h. What is the closest to -1 in t, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10, -16, -26, -40, -58, -80?\n\"Answer: -2*q**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s. Let o(p) = -37*p + 15*p**2 + 37*p. Give u(o(x)).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 584\/80) + (0 - 0)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4 - 3 = 0. Let o = -39 + 39. Is o at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.4 (c) 0.3 (d) -4 (e) 0.1 (f) 20.726\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -279 + 281. Suppose -3*l + s = -0*s - 11, -4*l = -x*s - 18. Solve 0*g**l + 2\/5*g + 0 - 2\/5*g**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7 = 11. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 1. Let n = 33 + -36. Let p be m(n). Let x = 20 - p. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1108509 divided by -6\nAnswer: -369503\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvyvuwlvhwh. What is prob of sequence lvvy?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -58, -307, -950, -2185, -4210, -7223, -11422, -17005?\n\"Answer: -33*l**3 + l**2 - 21*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxm when three letters picked without replacement from mmmmxxxxmm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 30 = -7*m. Let o be (68\/(-10))\/(15\/(-125)*m). Which is smaller: -10 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 736 = 5*q + 23*a, 4*q - 4*a - 192 = 2*q - 320 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 394 + -257. What are the prime factors of y?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.26 in -2.1, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 218, 3 in increasing order.\nAnswer: -3, 3, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1a62161 (base 11) to base 4\nAnswer: -31033311333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5837 divided by 7?\nAnswer: -5837\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4295 (base 15) to base 9\nAnswer: -21285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtvdj. What is prob of picking 1 v, 1 x, and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 767688*n - 1535360.\nAnswer: -4*(n - 191920)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + o - 22 = 0, 4*y + o = 5*o + 8. Let z(x) be the first derivative of 3*x**4 - 4*x**3\/3 - 5*x + 1. Is z(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 188 + -119. What are the prime factors of w?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161987?\nAnswer: 7, 73, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, -2\/77, -5\/3, 280?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60465408 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126630\/1215*(-18)\/21*-4*9\/(-24).\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-1) - 24\/(-2). Suppose 0*r = 3*r - 5*v - u, 0 = -3*r - v + 30. Let d be 10\/8 + r\/12. Solve -2*s - 6 + d = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*r - 7*r + 6, -3*r + 4*c = -11. Let a = -11 + 17. Suppose 3*o + a - 30 = 0. Solve 0 = -r*f + o - 28 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 74*k - 103. Let x(m) = m**3 + 91*m + 103. What is 4*x(v) + 5*y(v)?\nAnswer: -v**3 - 6*v - 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10476964.6 rounded to the nearest one hundred thousand?\nAnswer: -10500000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 + -10034246?\nAnswer: -10034312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a gram in milligrams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*l + 7. Suppose 0 = 5*b - 3*b + 2*k - 118, -3*b + l*k + 167 = 0. Suppose 4*j + b = 145. Calculate the lowest common multiple of 16 and j.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -203, 11, 2 in decreasing order.\nAnswer: 11, 2, 1, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 6 = -8*u. Let k be (-108)\/(-63)*7\/2*u. Suppose p = 3*l + 9, -3*p + 3 = -2*l + 5*l. Solve p*o + 0 = k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -13, 54, 139, 242, 363?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 66590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5806 = -9*b + 665. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*(12\/(-5))\/(-3). What is the common denominator of 61\/20 + 2\/b and -3 + 2 - 89\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 7*z**3\/6 - 3*z**2\/4 + 25. Factor l(q).\nAnswer: q*(7*q - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-52)\/10 + 5 + 111\/5. Suppose -129*s + 140 = -125*s. Solve -5*o + s = 5*i, -2*i = -i + 4*o - f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 1, -1, 1\/329?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2928 and 2496.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10708308516.300001226 + 10708308503. Let p = v - -13.3. What is p rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 276 + 414 = 0. Let l = r - -4109\/6. What is the common denominator of l and 7\/162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/37, 3\/4, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*t - 12*t**2 - 38*t)*(-t**3 + 4*t - 4*t).\nAnswer: 12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 25*s + 252. Let f(n) = -87*n - 757. Determine 2*f(b) + 7*u(b).\nAnswer: b + 250","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oowoooqwowooawa. Give prob of picking 1 q, 1 a, and 2 o.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3905555 by 32.\nAnswer: 3905555\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27161 <= 27088?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1276)\/2)\/(-47 + 45). Let t = l + -309. Calculate the remainder when 59 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64374.55 rounded to the nearest one hundred?\nAnswer: 64400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6\/5, -3, -3\/20, 1, -0.009?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 15*s + 624 = 17*s. Calculate the highest common factor of s and 871.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - j + 2. Let x be f(0). Suppose 4*s - x*s = -8. Let b be (-1 + (-2)\/s)*0. Put b, -0.3, 2 in increasing order.\nAnswer: -0.3, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/9 - 1103180*a\/9 - 1103174\/3.\nAnswer: -2*(a + 3)*(a + 551587)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -88*i**5 - 21*i - 27*i + 51*i + (2*i**3 - 3*i**2 + 3*i**2)*((-i + 3*i - 4*i)*(1 + 2*i - 1) + 4*i - 4*i + 2*i**2).\nAnswer: -92*i**5 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2522*m - 115*m + 830*m - 12948 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00356591 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.982 - 2633017?\nAnswer: -2633018.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*y - 143*y - 189 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**2. Let s(b) = -23*b. Let z(q) = -2*q. Let m(p) = -2*s(p) + 22*z(p). What is j(m(i))?\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4224576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**2 + 0 + 1 + w - 3*w**2. Let s be 4*3\/6 - 0. Let u(j) be the third derivative of j**5\/20 + j**4\/6 - 4*j**2. What is s*l(k) - u(k)?\nAnswer: -k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20509.9 + -20507.79909. Let b = i + -2.1. Round b to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*a - 102 + 172 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1730 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -24163, -794, 0.5?\nAnswer: -24163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 21, -3\/2, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*q = -2, -2 = -0*y - 3*y - q. Find the first derivative of 6 - 16 - 2*x**2 + y + 3*x**2 wrt x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7144 = 2*c + 2*o, 32*c + 5*o = 30*c + 7147. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/11 - 21480*s**3\/11 - 57716744*s**2\/11 - 20964480*s - 20956672.\nAnswer: -2*(s + 2)**2*(s + 5368)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3941 (b) 1\/2 (c) -2 (d) 66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 549611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**8\/168 - 21*q**6\/20 + q**5\/5 - 73*q**4\/24 - q**3\/6 + 5573*q**2. Find the third derivative of a(h) wrt h.\nAnswer: -120*h**2 - 756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 362070.0677 to the nearest ten.\nAnswer: 362070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5288814 divided by 2.\nAnswer: -2644407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 419 + -359. Suppose -12*h + 6*h = q. What is the nearest to 3 in h, -1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.929379 litres?\nAnswer: 1929.379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 251194860 and 590.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -8499987704.\nAnswer: -8499987703.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5*k*k**38)**(1\/20) assuming k is positive.\nAnswer: k**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 11*t**2 - 11*t - 1. What is m(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 142786\/329*(7\/49)\/1.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*r - 28117 = 0, 2*y + 10*r - 18732 = 5*r. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/7 (b) 0 (c) -1.6 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-6)\/72*3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 14. Let x be (8\/(-5))\/(6\/(-45)). What is the units digit of k(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1. Let f = 0.73 + -0.93. Let j = -36 + 31. What is the closest to -2 in j, v, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -227.9762 + 228. Let u = f + -0.018. Round u to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 11:13 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 5) to base 15\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**5\/5 + 3*p**4\/2 + p**3\/3 - 12*p**2 + 16*p + 21. Factor n(m).\nAnswer: (m - 1)**2*(m + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1454 (base 6) to base 14.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 220?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.7882508 nanoseconds in days?\nAnswer: 0.000000000000298475125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 310795208 to the nearest integer?\nAnswer: 17629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12285*h**3 - 12323*h**3 + 3*h - 3*h.\nAnswer: -38*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3468 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ammoomygmoa. What is prob of sequence moyo?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/34618?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -121*d**3 - 4*d**2 - d + 2. Let z be o(-2). Suppose -i - 5085 = 8*i. Let v = z + i. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -760*g - 14. List the prime factors of u(-5).\nAnswer: 2, 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (755\/302*(-4)\/(-1))\/(10\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.406 (b) -0.2 (c) 2\/9 (d) -2\/87 (e) 1 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 195, 188, 177, 162?\n\"Answer: -2*s**2 - s + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13412\/(21\/(-12) + 420\/112).\nAnswer: 2, 7, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1534 + 25614. Is 56 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -898, -892, -882, -868, -850, -828, -802?\nAnswer: -772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + u - 1. Let n(t) = -10*t**2 - 4*t + 5. Suppose -g + 14 = 4*l, 4*l - 12*g = -8*g + 24. Determine l*r(z) + n(z).\nAnswer: -6*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-140)\/(-4))\/5 - -2. Suppose -2*m - 4*i + 392 = -n*i, -3*m + 5*i + 598 = 0. What are the prime factors of m?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*k + 34. Let c = -10 + k. Let u(o) = -2*o**3 + 3*o**2 - 3*o - 1. Let s(d) = 2*d**3 - 4*d**2 + 4*d + 1. Calculate c*s(y) + 4*u(y).\nAnswer: -2*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 142484836?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/19))**(1\/19)\/(a\/((a\/a**(-1\/25))\/a)*a**(1\/4)))**37 assuming a is positive.\nAnswer: a**(-1623597\/36100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14449063 to the nearest integer?\nAnswer: 3801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4692934009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 7:45 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2068952 to the nearest integer?\nAnswer: 1438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1835?\nAnswer: 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 149, 293, 441, 563, 629, 609, 473?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n**2 + 10*n**2 + 8 - 3*n**2 - 3*n + 1. Calculate the remainder when 73 is divided by a(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 10:55 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 315157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/109 in 5, -0.2, -101, -4, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 greater than 2930100\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4375152 divided by -138.\nAnswer: -31704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 50.5783 millilitres?\nAnswer: 0.0505783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 70\/(-350)*3\/39. Which is the closest to -1? (a) -3 (b) k (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 966 and 714?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/177 (b) 5\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 5 - 5)*(2 + 2*u - 2)*(3 - 1 + 0).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2562 (base 9) in base 7?\nAnswer: 5411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/2*1157319\/18*(-37 - -33) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 133 + -133. Suppose 50539950 = 2*d + 2*g, -g = -l - 3. Let f be (-2)\/5 + d\/(-70). What is f rounded to the nearest 10000?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -624693*y**2 + 553581*y wrt y?\nAnswer: -1249386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 12:52 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -1208 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 717300.18 milliseconds in hours?\nAnswer: 0.19925005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.964 - 18. Let t = -0.02 - x. Round t to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i + 99. What is d(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 20665778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -2\/9, 8050.\nAnswer: -2\/9, 0, 3, 8050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1705 is divided by 171?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m*m**(-13)\/m)\/m)\/m)*m\/(m*(m\/m**(-5\/6))\/m))**18 assuming m is positive.\nAnswer: m**273","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.81 rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - 1. Let n = 252 + -196. Let k(a) = -59*a + n*a - 3 - 2. What is k(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 51*y. Let p(c) = -5*c. Let h(m) = 63*p(m) + 6*t(m). Let z(k) be the third derivative of -k**5\/30 - k**2. Determine h(z(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7449*k. Let n(v) = -v. What is n(a(y))?\nAnswer: 7449*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -5 - (-2 + -1)) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (3 + -22 + 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -8*b - 5. Determine h(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(210)\/sqrt(5))\/((sqrt(726) - sqrt(726)*2) + sqrt(6)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**2 + 23*p + 24. Let x(t) = t**2 + 2*t + 2. Let v(i) = j(i) - 6*x(i). Give v(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4242 (base 9) to base 13\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3646639009\/1856 - 1964784. Find the common denominator of c and 35\/9.\nAnswer: 16704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/60 and 61\/26340.\nAnswer: 26340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + v - 21 = -z, -z = 4*v - 6. List the prime factors of (-35)\/(-1) - (z + 4).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.36 + 65.36. Let l = p - 65.000065. Round l to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.31887 centuries in months?\nAnswer: 71182.644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.5 + -4. Let r = -0.1 - k. Let l be (2\/(-24))\/((-2)\/(-4)). Put -0.2, r, l in ascending order.\nAnswer: -0.2, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 49164284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven eighths of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 2*g - 1. Suppose 4*x = 3*m + 22, -m - 22 = -0*m - 5*x. What is n(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1975 less than 1657158?\nAnswer: 1659133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 2. Let m be f(0). Suppose -3*y - 4*o = 1 - 15, -4*y + 3*o = -m. What is the second derivative of -4*b + 2*b + 3*b + y*b**5 wrt b?\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 0 + 50 + -56.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2916914559 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88135258*k**3 - 599706173*k wrt k.\nAnswer: -528811548*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 88*i = -84*i - 117, 610 = -w + 21*i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/1 - -1) + -2 + 18. Suppose -s = -29 - p. Suppose 5*m + 9 = s. Calculate the greatest common divisor of 91 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from sddddoddddzzsddsdods?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60298524 - -19.\nAnswer: 60298543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b07b17 (base 12) to base 6.\nAnswer: -510543231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 498*l - 10009. Calculate b(21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2 - 7*n - n**2 + 2*n + 2*n**2. Let l be m(4). Let g be l\/((-1)\/(-1) + -2). Solve g*i = -0*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-4)*(-8)\/10. Suppose -25 - 61 = -p*t. Let r = -5205 - -5214. Calculate the remainder when t is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -913 + 955. Suppose -68*z = -d*z. Factor 0*b**2 + 2\/5*b**3 + 0 + z*b + 2\/5*b**4.\nAnswer: 2*b**3*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1801, -3574, -5373, -7210, -9097, -11046?\n\"Answer: -2*d**3 - d**2 - 1756*d - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 275 and -0.96?\nAnswer: 275.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(275)*-2 - sqrt(275)) + sqrt(275)*3)**2 - (-4 + (-3*sqrt(121)*1 + sqrt(121) - sqrt(121) - sqrt(121))\/sqrt(11))**2.\nAnswer: -187 - 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31879.385 - 31724. Let x = 0.385 - a. Let v = -151 - x. Sort 0, v, 25 in decreasing order.\nAnswer: 25, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m - 125 = 0. Calculate the remainder when m is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 0. Let a = -6 + j. What is the second smallest value in a, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -16. Let h = m + -7.3. Let v be (-12)\/1800*6*(0 + -2). Put 0, v, h in decreasing order.\nAnswer: v, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -25*m**2 + 30*m - 14. Let o(b) = -8*b**2 + 11*b - 5. Give -3*l(x) + 8*o(x).\nAnswer: 11*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-32)\/40)\/((-6)\/15). Factor 20*m**3 - 8*m - 19*m**3 + 14*m - 5*m**i.\nAnswer: m*(m - 3)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/8 (b) -2\/19 (c) 3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3.58. Let p = d + -0.347. Let i = -0.019 - p. What is i rounded to two decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 199*m**4 - 1563*m + 104. What is the first derivative of i(p) wrt p?\nAnswer: 2388*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*27\/594*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 801 and 5?\nAnswer: 4005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 275021565 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/52 and -93\/388180.\nAnswer: 388180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from pqpqqpppmpqppppkpqm.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/8580380 and -11\/708814?\nAnswer: 163027220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 10) to base 4\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 69731, 278896, 627497, 1115534, 1743007, 2509916?\n\"Answer: 69718*w**2 + 11*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -7*x**4\/12 + x**2. Let o(m) be the third derivative of m**4\/24 + 13636*m**2. Give o(p(n)).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 626, 2, 2\/75 in descending order.\nAnswer: 626, 2, 2\/75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 + 0*d**2 + d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, q: 7}. Give prob of picking 3 q.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -35\/62894?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50780584716 + 50785757335.000048. Let t = o - 5172681. Let m = -62 - t. What is m rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((81184\/(-128))\/(-43))\/((-5)\/(-20)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 14 + 0 + 2*q)*(q**2 + 0*q**2 - 2*q**2).\nAnswer: -2*q**3 - 11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iziiiiziizi. Give prob of picking 1 i and 2 z.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3640306 is divided by 147.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 458 + -435. Suppose 0 = 4*x + s*x - 4077. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 - ((0 - -34) + -8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1720*j + 1838*j - 911 = 33 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-90)\/30*(-10)\/6. Let o(i) be the third derivative of 0 + 1\/480*i**a + 0*i + 11*i**2 + 0*i**3 - 1\/960*i**6 - 1\/1680*i**7 + 1\/192*i**4. Factor o(p).\nAnswer: -p*(p - 1)*(p + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -103929230, -103929228, -103929226, -103929224, -103929222, -103929220?\n\"Answer: 2*n - 103929232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -3*v - v. Suppose -3*o + v = 3*b + 2*b, 4*b = -5*o + 35. Factor -2*p**3 - b*p**2 - p**4 + 4*p**2 + 4*p**4.\nAnswer: p**2*(p - 1)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - p**2 + p + 3. Determine f(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-225)*(1\/7 + -1).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 4*h + 4. Let c be g(4). What is the common denominator of (-444)\/(-70)*(-7)\/c and (2 + 1)\/((-4)\/(-54))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(6\/5))**24)**(-38))**(1\/11) assuming v is positive.\nAnswer: v**(-5472\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39729 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 5704136*t - 11408288.\nAnswer: 4*(t - 2)*(t + 1426036)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2048*h. Let i(k) = -10*k. Calculate d(i(b)).\nAnswer: -20480*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.39 - 381.61. Let i = -384 - n. Let l = 3155\/9 - 351. What is the closest to i in -1\/8, -4, l?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44\/115? (a) -0.3 (b) -20 (c) -4 (d) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (2 - 2) - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**2\/3 - 12*q = 0.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9720916 - 3?\nAnswer: 9720913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -668 - 670 - 669 - j**2 + 2007.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h - 2. Let c(o) be the first derivative of -o**2 + o - 7. Let j(r) = 6*c(r) + 5*m(r). Calculate j(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339043060 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(128))*4 + sqrt(128) - (sqrt(128) + (sqrt(128) - (2 + (sqrt(128) - 1*sqrt(128))))))**2*-5*6.\nAnswer: -37560 - 14400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -6*m + 1. Let r(k) = k + 3. Let n be r(0). Let y be n\/(18\/4)*(-288)\/192. Calculate i(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*u + 219. Let m = 224\/3 - u. Let s = -1.72 + -0.28. Is s at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1417*g**2 - 333*g + 116*g + 110*g + 109*g to the form l*g + m + v*g**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -32*o**4 - 2*o**3\/3 - o**2 - o - 5. Is c(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - 0.6. What is the closest to -2 in 3, -1\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 10, 34, 80, 154?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 509471?\nAnswer: -509473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (105\/28)\/5*16\/18?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (351\/(-390))\/(3\/5)*40\/(-3). Solve -5*u = -5*j - q, 7*u - 3*u - 2*j - 18 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40023264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20\/689 - 1330339\/4134. Let q = i - -322. Let t = -3 + 2. Sort t, -4, q.\nAnswer: -4, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -0.771.\nAnswer: -4.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3473455 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1392302.\nAnswer: 2, 193, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 7. Solve 5 - 23 = -4*a - 2*r, 5*a - w*r + 10 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Let f = 159 - 161. Let o be (-1 - 2) + (-26594)\/(l - f). What is o rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 4 = -5*m. Let x(u) = -55*u**2 + 11*u - 13. Let c(t) = -27*t**2 + 5*t - 6. Let d(h) = 13*c(h) - 6*x(h). Let r be d(m). Round r to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -312*r - 285. What is o(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*x - 3*d - 0*d, 3*x - 5*d = 34. Find the third derivative of -8*t**2 + 0*t**2 - 4*t**x + 3*t**3 + 4*t**3 wrt t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193907165?\nAnswer: 5, 941, 41213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17.1 or -408.82?\nAnswer: -17.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + 323 - 584 + 291 to r*f + x and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from {q: 2, t: 1, i: 1, y: 2, r: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2440 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(2\/27)*2. What is the units digit of -5*(k\/(-15) + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 190339877.36886.\nAnswer: 190339880.36886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/(q\/(q*q**(5\/4)*q)))\/(q**(-2\/23)\/((q\/(q*q**(2\/9)*q*q*q))\/q*q)) assuming q is positive.\nAnswer: q**(-1561\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9377 is divided by 1544?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52\/75 - 2\/75. Let r = 0.8 + -1. Let u = -0.01 - 2.99. What is the closest to r in 3, n, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 0*f**2 + 3*f**2 - 6 - 4*f + 3*f + 6*f. Let z(u) = 7*u + 1 + 0*u**2 - 8*u + 0 - u**2. Calculate t(v) + 5*z(v).\nAnswer: -2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cobbbbbcbbfbbbc. Give prob of picking 2 b and 2 c.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgexggeeggxx. Give prob of picking 1 e, 1 g, and 1 x.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = g - 2*g - 5*y, g - 14 = 3*y. Suppose -50*p + 176 + 24 = 0. Let i = -1.1 + 0.1. Sort p, g, i.\nAnswer: i, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 31 and 34 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g + 35. Let u be l(11). Find the common denominator of (-10)\/(-300)*(-745)\/u and (-50)\/12 - (-2)\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/sqrt(3) + sqrt(7))*-3)**2 + -4.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9335677 millennia to months.\nAnswer: 11202.8124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22000212002 (base 3) in base 5?\nAnswer: -20024322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.18 (b) -516307 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7661424 rounded to 2 dps?\nAnswer: -5.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (74 - 5) + (13 - (11 + (14 - 10)))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.747515ml?\nAnswer: 0.007747515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 9. Let j(l) = n + 5 + l**3 + 2*l - 10. List the prime factors of j(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(52)*-4)\/(-5*sqrt(28)\/sqrt(7) - sqrt(4)).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1340*w - 2460*w + 1116*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + 2 + 1 + 0)*(-4 + 4 - 5*h**2) to o*h**3 + l*h + f + i*h**2 and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1870857 is divided by 143897.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouu when three letters picked without replacement from ooovvuvvu.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 234*q**2 + 2261*q + 4722. What is z(-224)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 5*d + 6 = 0, -3822*m + 3821*m + 5*d = -3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334195003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 - 2 - ((-65 - -96) + -26)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 1\/3*a**4 - a - 33*a**2 + 0 + 0*a**3. Let r(w) = -9*w. Let i(t) = t + 1. Let x be i(-5). Calculate x*r(g) - 5*s(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -43. Suppose -3*y = 5*v - w*y - 1357, 5*v - 2*y = 1358. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) 17 (c) 0 (d) -0.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**4 - 190139*h**3 - 570424*h**2 - 380284*h = 0.\nAnswer: -2, -1, 0, 190142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -99, 128, -255?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.447?\nAnswer: 0.1341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 96?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1456, 1445, 1436, 1429, 1424?\nAnswer: 1421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/756190 and -121\/80.\nAnswer: 6049520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 21*a**2 - 38*a + 3. Let h be m(-19). Let d(q) = q - 1. Let x(j) = j + 3. Give h*d(f) + x(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 + 204 - 4*c + 351*c**4 + 1035*c**4 + 218 + 2*c - 421 in the form i + y*c**2 + g*c**3 + n*c + s*c**4 and give s.\nAnswer: 1386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302023130311 - -103?\nAnswer: 302023131020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q. Let d(f) = -4 + 4 + 48*f**2 + 0. What is d(u(k))?\nAnswer: 192*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**8\/336 - 2*b**7\/105 - 11*b**6\/120 - b**5\/10 - 85*b**2. Determine l so that y(l) = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**5\/15 - 18774*c**4\/5 + 11264*c**3\/3 = 0.\nAnswer: 0, 1, 28160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 37*m**2 + 11\/6*m**3 + 0 + 1\/24*m**4 + 0*m. Let d be c(-9). What is the greatest common divisor of d and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26989, -54141, -81293, -108445?\n\"Answer: -27152*r + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, t: 2, n: 3}. Give prob of sequence tj.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + b + 0*b + 0*b**2 + 2*b**3 + b**2 as s + q*b**2 + z*b**3 + j*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 3643*l**4\/12 + l**3 + 2*l**2 - 109*l. Is v(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 64 = 11*y, -5757*g + 5756*g + 7 = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11.02 greater than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2146939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -812 or -820?\nAnswer: -812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001023 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 2155, -33, 3, 4 in descending order.\nAnswer: 2155, 5, 4, 3, 2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2235*q + 18. Let k(i) = -i - 13. Calculate k(b(f)).\nAnswer: 2235*f - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + f - 1. Let o be l(-2). Which is the nearest to o? (a) 0.1 (b) -0.3 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, f: 2, l: 1, t: 1}. What is prob of picking 1 t and 1 f?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 17 - -2) + 10 - 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -831.86+624\nAnswer: -207.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*((-52)\/18 - -3). Let a = -271 + 271.131. Let q = 0.069 + a. What is the third biggest value in 3\/8, q, h, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h - 3*t = -21, -3*h = t + 33. What is the least common multiple of 662 and (-10 + 14)\/(h\/(-5))?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 4*c + 176. Let r be (-1 - -1) + (-262)\/6. Let w = c - r. Are w and 4\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 154130?\nAnswer: -154121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0 = -2. Let f = -9856 - -9861. Let j(n) = n**2 + 2*n - 1. Let a be j(-2). Sort t, f, 0.5, a in decreasing order.\nAnswer: f, 0.5, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -682 - -54563\/80. Let i(g) be the second derivative of 0 - o*g**5 + 1\/8*g**4 + 0*g**3 + 10*g + 0*g**2. Factor i(r).\nAnswer: -3*r**2*(r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -7*a + 2*a - 425, -12 = -4*a. What is the greatest common divisor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-141)\/235)\/(12\/(-10)). Let r(v) be the first derivative of 0*v + 6 + 5\/3*v**3 + 0*v**2 + s*v**4. Find the third derivative of r(k) wrt k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000318273757 rounded to 6 dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-69)\/45 + 24\/(-30). What is the nearest to i in -1\/2, 1, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -16*x - 51. Is a(-15) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 7*l**2. Let z be -2 - -6 - 1 - (11 - 1). Determine r(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1110084?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 1:08 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/5*(495\/27)\/11. Solve -4*x + 12 = y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5296, -5289, -5282, -5275, -5268, -5261?\nAnswer: -5254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 3 + 3 + 14. Suppose t + 15 = 6*t. Suppose 2*a + t - k = 0. Solve 3*s = -o - 3 + 10, -5*o - s = a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34261521 <= -34261520?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**0*d\/d**8*d)**(30\/7)*((d*d**(-1\/4))\/d)\/d*d*d**(-6\/5)*(d\/d**(-1\/4))**(-6\/7) assuming d is positive.\nAnswer: d**(-479\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -1901 and -1904 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q + 10. Determine o(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19984183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 3:37 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 51553c + -51?\nAnswer: 5154bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**4\/24 - 79*q**2. Let g(c) = -59*c + 3. What is g(r(o))?\nAnswer: 59*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 767979672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (21 + -2 + (-135)\/135)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*u + 1 - 10, 0 = 3*n + 3*u + 21. Which is the second smallest value? (a) 7\/6 (b) -0.5 (c) 0.2 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 524626 to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -1.8. Let q = -96 + 96.05. What is the smallest value in -4, m, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a decade in months?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24234355 (base 6) to base 7.\nAnswer: -6342662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -3730591 and -2.\nAnswer: -3730593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14 + -1)\/(-1) + 1. Let g be (-2)\/t*1*2. Suppose 69*s - 168 = -30*s + 15*s. Which is the second smallest value? (a) 1\/4 (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 40 = 5*d. Let v = d + -13. Let p = 7 + v. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 + 13 + 8 - 5*g**2)*(1 + 1 + 2) to y*g + p + n*g**2 and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30777 (base 12) to base 4.\nAnswer: -33131023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/37, -1\/21, 0.2, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -2*1) + 0. Suppose 2 - 4 = -f*h. Let s be -3*(105\/(-9) + h). What is the greatest common divisor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2 = 2*v, -4 = -43*v + 44*v - 3*y. Solve -v*x + 1 + 4 = -q, -5*x + 5*q + 5 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831833.\nAnswer: 499, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 41*i**6\/24 + 37*i**4\/6 - i**3\/3 + 63*i**2 - 2. What is the second derivative of a(x) wrt x?\nAnswer: 1230*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1170 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 11048*b**3 + 2*b**2 + 16*b - 85. Is f(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/9)\/v)**(3\/23)*(v*v\/v**(-1\/4))**(-45) assuming v is positive.\nAnswer: v**(-27949\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven eighths of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 w, and 1 q when three letters picked without replacement from {c: 3, b: 4, y: 3, s: 2, q: 2, w: 1}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 21?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 3:46 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-8) + (6448\/64)\/31. Suppose w*s = 4*s, -3*s = -h - 8299000. What is h rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 522.\nAnswer: 5742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.037, -2\/7, 1 in increasing order.\nAnswer: -2\/7, -0.037, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6507 divided by 27\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*u + 10 = 0, 3*v + 4*u + 11 = 4. Suppose -476 = -d - v*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1963602 and 3.\nAnswer: -0.5890806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -174, -201, -240, -285, -330, -369?\n\"Answer: r**3 - 12*r**2 + 2*r - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**2 - 2*t - 4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*a + x, 4 - 13 = 3*a - 3*x. Let b(h) = -a + 1 - 2*h. Let d(l) = 2 + 46*l**2 - 49*l**2 - 2. Give b(d(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a day in hours?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -296 - -3254\/11. Sort 0.1, -2\/13, j in descending order.\nAnswer: 0.1, -2\/13, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 172709.9 to the nearest 1000.\nAnswer: 173000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 - -104. Let x = 50 - o. Solve -3*i + x*i = -3*j, 0 = 2*j - 3*i + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 12:44 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 355 and 149881?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**6\/720 - x**5\/120 - 2*x**3 + 8*x. Let d(o) be the second derivative of s(o). Factor d(h).\nAnswer: -h*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*f**5 + 2*f**3 - 171*f wrt f.\nAnswer: -480*f**3 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, f: 7, n: 5}. Give prob of picking 1 n, 2 f, and 1 c.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -32, -13, -2, -5?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 4*j**2 + 3*j + 3. Let o = 7 - 4. Let m be l(o). Suppose -31 - m = -4*b. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 52\/3 of a day?\nAnswer: 24960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 97.78292 decades?\nAnswer: 11733.9504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33*x - 69*x + 32*x)*(2 + 0 - 4)*(-4 - 4 - 2)*(-1 - 1 + 3) to the form t + h*x and give h.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiuu when four letters picked without replacement from iuuiiiiuiukiikoiikou?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 2*n - 48 = 0. Let u be 0 - -3 - 13 - n*1. Let r(f) = f. Determine r(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 1 = 3. Solve -3*g + d - t = 0, 0 = 5*g - 3*d + d + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 597596085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by (-1)\/((-1)\/(2 + 15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**2 + 571*f - 4026 = 0.\nAnswer: 22\/3, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1769.713153 + -1769.7. Round f to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10982584?\nAnswer: 2, 47, 29209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8)\/v**10)\/(v*v**(-8)*v**(-2\/5)) assuming v is positive.\nAnswer: v**(-53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/5 + (-6208)\/160. Sort 0.4, 0.3, u in ascending order.\nAnswer: u, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 3. Suppose -f = 2*f - o. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 11*c - 12. List the prime factors of (c + (-4 - 4))*-1 + 139.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -2\/7 (c) -2\/9 (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + sqrt(425) + 3 + sqrt(425) + -3) + ((sqrt(425) - 5*(sqrt(425) + 2)) + -3 + sqrt(425) + -2 + sqrt(425))*-5)**2.\nAnswer: 9360*sqrt(17) + 67284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -322450 by 64490.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 10*k - 55. Solve 10 = 4*o - s - k, -4*o = 4*s - 16 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 3*b + 5. Let k be h(0). Let c(s) = 2*s**2 + 6*s + 5. Let a be c(k). Suppose -4*g = -8, 0*y + 5*y - a = 5*g. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -4. Let i(w) = -15*w**2 - w. Let n be i(q). What is the units digit of n\/(-10)*(-35)\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 5275?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11.81 * 559.6\nAnswer: 6608.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**3 + 16*t + 8. Let c(q) = 3*q**3 + 16*q + 7. Determine 6*c(n) - 5*p(n).\nAnswer: -2*n**3 + 16*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 37308 - -12?\nAnswer: 3731a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 102566038, 102566036, 102566026, 102566002, 102565958, 102565888, 102565786, 102565646?\n\"Answer: -o**3 + 2*o**2 - o + 102566038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 4*l - 7 - 5, -5*l + 1 = -2*y. Suppose 0 = -3*x - 12, y*b - x + 6*x - 12 = 0. What is the smallest common multiple of b and 184?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386640?\nAnswer: 2, 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**5\/20 - 75*c**4\/2 + 299*c**3\/2 - 316*c**2 + c. Let u(y) = 0. Calculate y.\nAnswer: 1, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 - 7*l + 2. Let w be s(-4). Let z(p) = 2*p**2 + 2*p - 1. Let h be z(w). Is h < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 116878, -100, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -19, -0.4, -5, -6, 21, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*t**2 + 3310439*t - 27318745 wrt t.\nAnswer: 6*t + 3310439","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5708929?\nAnswer: 31, 61, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 13*a**3 + 3*a**2 - 7. Let i(k) = 6*k**3 + k**2 - 3. Suppose -56 - 7 = 9*t. Calculate t*i(f) + 3*m(f).\nAnswer: -3*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 18*x = 5214. Suppose -2*q + x = -62. Is q a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -2*q - 11, -2*m = -5*q + 2 - 27 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 524108*f*h**3 - 20*h**3 - 3*h**2 - 617 wrt f.\nAnswer: 524108*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 4 (c) 0.1 (d) -2013662 (e) 4\/5 (f) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 18. Suppose -2*s - c*s = 5*a, 5*s = 4*a + 36. Suppose 4620 = -4*b - 5*x, 3*x = 2*x - s. What is b rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -235 + 257. Suppose 19*m + 12 = j*m. Solve 4*h - 5 = -3*g, g = -3*g + m*h - 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**4\/13 - 200*m**3\/13 + 6732*m**2\/13 - 78408*m\/13 + 71874\/13 = 0.\nAnswer: 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28.94 - 29. What is the biggest value in -5, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 47552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3*v = -6 + 1, 3*j = 2*v + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 487 - 474. Which is the third biggest value? (a) -4 (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -561?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -297888 + 1325.\nAnswer: -296563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -169592 by 6.\nAnswer: -84796\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from {g: 1, y: 1, j: 2, w: 2, q: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n - n**2 + 25 - 25)*(3 - 4 + 3) to the form j*n**2 + b + d*n and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v + 6. Let p be w(5). Is (-12)\/p - 13\/(-1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j - 2*j)*((30 - 1 + 5)*(22*j + 8 - 8) + 3*j - 2*j - 2*j + (7 - 2 - 4)*(2*j + 3*j - 4*j) + 5*j - 3*j - j + (-3 + 2 + 2)*(-2 - 2*j + 2) - 3 - j + 3).\nAnswer: -1492*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 51*r + 346. Calculate f(43).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 23482 to the nearest 100.\nAnswer: 23500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)*2 + sqrt(28))\/sqrt(2))\/(sqrt(2) - (sqrt(18)*3 + sqrt(2))).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*c = 109*c - 86. Let f = 130 - c. Suppose 225 = p + 4*p. What is the remainder when f is divided by p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 15*t**2 - 38*t + 58. What is the smallest common multiple of o(-17) and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32480514 and 182270?\nAnswer: 162402570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*x**6 - 871*x**5 - 3*x**4 + 180630*x**2 wrt x?\nAnswer: -1080*x**3 - 52260*x**2 - 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24502 - -11101?\nAnswer: -13401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**5\/10 - b**4\/12 - b**3\/6 - 13*b**2 - 4*b + 3. Let z(s) = 7*s**2 - 2*s - 1. Determine -5*o(g) + 4*z(g).\nAnswer: -2*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/12*(766 - 4). Let b be 10\/(-35) + (-24)\/14. What is the common denominator of (f\/12)\/(b - 0) and 87\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146091, -570043, -1276629, -2265849, -3537703?\nAnswer: -5092191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -292*z + 15440. Calculate h(53).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2400)\/(-2240)*(-546)\/39.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29*o - 11*o - 8*o)*(-2 - 1 + 1) in the form k + f*o and give f.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o - 37. Let h(p) = 19*p**2 - 8. Let t(q) = 6*q**2 - 2. Let v(x) = -h(x) + 4*t(x). What is v(z(l))?\nAnswer: 20*l**2 - 740*l + 6845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i + 15. Let s be c(-5). Suppose -20 = u + 5*a, -s*u - a + 16 = -5*a. Does 2 divide 4 - u - (2 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npp when three letters picked without replacement from cpnc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -51*n**4\/4 + 10299*n**3\/4 + 1065*n**2\/4 - 92691*n\/4 - 2727\/2 = 0. Calculate n.\nAnswer: -3, -1\/17, 3, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -27*x**2 - 80*x - 36. Let o(k) = -2*k**2 - 5*k - 2. Let z be o(-3). Let v(y) = 18*y**2 + 53*y + 24. Let n(g) = z*i(g) - 8*v(g). Factor n(c).\nAnswer: -3*(c + 2)*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-104*o**2 - 58*o + 58*o)*(-7 - 8 + 16 + 0 + 0 + 2 + (0 + 1 + 0)*(-3 + 2 + 2)) to the form c*o**2 + l*o + v and give c.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1686568 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 30*z**2 + 29*z + 64. Let b be h(31). Solve b*a = 2*j - 4, -3*j = -2*j + 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 + 4. Let y(n) = 24*n**2 + 33. Let d = -47 + 43. Determine d*y(o) + 33*h(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 275*i. Let j(b) = b. Calculate u(j(z)).\nAnswer: 275*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 208 - -4?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 55*d**2 - 221*d + 3. Calculate s(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-4) + 0)\/((-375)\/(-200)). What is the smallest value in 4, -5\/19, w?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**2 - 693 + 693 in the form d + y*x**2 + r*x and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -115.5?\nAnswer: 34.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 764890214?\nAnswer: 2, 11, 17, 163, 12547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 38\/8 + 4\/16. Suppose y - u*y = 0. Suppose -4*s + 24 + 12 = y. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*x = 55 + 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112.67777 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 768\/54 - -8)*3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(72) - sqrt(72))*-3 + (sqrt(72) - (-2*sqrt(72) - sqrt(72) - sqrt(72))*-2))**2 - (((sqrt(588)*-2)\/((sqrt(168)\/sqrt(4))\/sqrt(7)))**2 + 0).\nAnswer: 11776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82675, 165351, 248027?\nAnswer: 330703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10111000111110110 (base 2) to base 7\nAnswer: 543060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7241138 divided by -1?\nAnswer: 7241138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 15 = -5*g, -5*g - 5*q + 25 = -7*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**4\/6 + m**3\/2 + 20*m**2. Let u = 1939 + -1941. Give x(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1018 - 809. Calculate the highest common factor of 55 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99687.43 rounded to the nearest 1000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 16*o - 36. What is p(-8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*s**3 + 354*s**3 + 1013*s**3.\nAnswer: 1111*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 12*i**2 + 6*i - 8. Let l(g) = -2*g**3 + 23*g**2 - 11*g + 15. Let m = -22796 - -22802. Give m*l(y) + 11*b(y).\nAnswer: -y**3 + 6*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.895623*-2.4.\nAnswer: 6.9494952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2510970 divided by -210?\nAnswer: -11957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -159*b - 58351. Give s(-359).\nAnswer: -1270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -178004 and 1?\nAnswer: -178004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, z: 2}. Give prob of picking 2 z.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184 = -9*b + 229 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4)\/(g\/g**(-7)*g))**(-12)*(((g\/g**6)\/g)\/g**(-2))**(-2\/15) assuming g is positive.\nAnswer: g**(1673\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 9*h**2 + 3*h + 18. Let k be x(9). Differentiate -29*m**4 - 26*m**4 + k*m**4 - 5 wrt m.\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 23*v + 0*v**2 + 0*v**3 - 23\/4*v**4 + 63. Find the first derivative of q(o) wrt o.\nAnswer: -69*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -2*u**8\/7 - u**4\/2 - 20*u. What is the third derivative of t(g) wrt g?\nAnswer: -1920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + 21*c + 23. Let s(n) = n**2 - 10*n - 11. Let d(w) = 4*p(w) + 9*s(w). Let u be d(7). Solve -4*j - x = -2, -5*j + 6*j - 3*x + 6 = u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -8\/57*d**3 - 14 + 0*d + 9\/38*d**4 - 12\/95*d**5 + 1\/57*d**6 + 0*d**2. Suppose q(m) = 0. What is m?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g**2 + 214*g + 22. Determine r(15).\nAnswer: 1657","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3673989554 to the power of 1\/3, to the nearest integer?\nAnswer: 1543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 178199145*n**3 - 7688323*n.\nAnswer: 1069194870*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 62173 = 8*h - 2*s, -4*h + 4*s = -49736. Suppose 13*i = -2*i + h. Does 57 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9*h**2 - 7*h - 2. Let c(q) = 7*q**2 - 2*q + 1. Let w(x) = 15*x**2 - 3*x + 3. Let j(g) = -5*c(g) + 2*w(g). Determine -4*b(z) - 7*j(z).\nAnswer: -z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1bd3 (base 16) in base 9?\nAnswer: -10684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -510*a**3*h**2 - 23*a**3 - 5061*a - 1064*h**3 wrt h?\nAnswer: -1020*a**3*h - 3192*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/3, -0.4, -107, -1.\nAnswer: -107, -1, -0.4, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*b - 4*v - 5, 3*b - 31 = 5*v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by -96.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssgsngssnnggndsrsng. What is prob of sequence ngg?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04066562 to 5 decimal places.\nAnswer: -0.04067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17360 (base 11) to base 14\nAnswer: 8c5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 3*r**2 + 6*r + 4. Let q(z) = z**3 - 24*z**2 - 50*z - 47. Let v be q(26). Suppose -7*w - 4*x = -v*w - 10, x + 10 = -3*w. Calculate l(w).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2062548, -4125176, -6187804, -8250432, -10313060, -12375688?\nAnswer: -14438316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 81.691045 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295847439?\nAnswer: 3, 43, 2293391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1718 = 173*b - 3*y, 879*b = 880*b - y - 6 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 6*l - 31. Let g be 21*(-1 - 3\/(-9)). What is the hundreds digit of b(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-727877\nAnswer: 363938.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.76027 micrometers to centimeters.\nAnswer: 0.006876027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 1\/7, -2, -24.9, -0.6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -16*v + 84. Solve 5*l - v = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 14091074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 4*p - 1, -p + 6 - 9 = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2282.7 - 2442. Let r = q - -153. Let c = 6 + r. What is c rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1509 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 777, 1431, 2085, 2739, 3393?\n\"Answer: 654*m + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.44386 and -15?\nAnswer: 15.44386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6720 - -1?\nAnswer: 6721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 59 + 44 = 0. Let f be -1 + 2 - (2 + 2). Let v(c) = 2*c**2 + c + 1. Let p be v(-2). Sort f, p, i in increasing order.\nAnswer: i, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 346*d**2 - 2*d - 2. Let i be y(2). Let k be 3 - -1 - i\/13. Let h = -82 - k. Solve -4*q + 4*u - h = -0*u, -20 = 4*q - 3*u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41622.\nAnswer: 2, 3, 7, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p + 0*p + 2*p)*(-1 + 4 - 1)*(4*p - 3*p - 2*p) in the form s + o*p + b*p**2 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/1199? (a) 3\/2 (b) -28 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 7:00 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6312456, 6312455, 6312454?\n\"Answer: -r + 6312457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.6 - -0.6. Let z = 10.52 + -10. Let w = -0.02 + z. Which is the second biggest value? (a) 5 (b) w (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n**2 - 11*n + 4. Let p be y(-6). Suppose c - 2*s - 33 - 34 = 0, -2*s - p = -4*c. List the prime factors of c.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7901 + 22474 = 15*g. What is the greatest common divisor of 81 and g?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 8*n - 3. Let z be h(8). What is the lowest common multiple of 18 and (z\/9)\/((-5)\/570)?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - t**2 - t - 1. Let c(v) = 7*v**3 + v**2 + v + 2. Let p(q) = c(q) + 6*x(q). Let r be p(6). Solve -r*i - 8 - 2 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -871, -868, -865, -862?\n\"Answer: 3*d - 874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {d: 5, u: 2, c: 2, e: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 3*y**2 + y - 1. Let k be o(3). Let f = 198 + -174.9. Let u = f - 23. Which is the closest to 0.2? (a) k (b) -2\/15 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 2*w**2 + w - 1. Let q(d) = -3*d + 2. Let b(t) = 3*t - 2. Let p(u) = 2*b(u) + 3*q(u). Calculate the least common multiple of p(-2) and o(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1135441\/40 - 28388. What is the common denominator of (3\/((-18)\/(-22)))\/10 and r?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129945480 divided by -1695.\nAnswer: 76664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 693.604 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-324)\/(-810)*-10*(-1)\/(-44)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 2*c - 4 + (1 + 2 - 1)*(48*c + 89*c - 28*c).\nAnswer: 216*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 9*f + 18. Let j be b(-3). Let t(c) = c**2 + 9*c + 2. Give t(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6713 divided by -11880.\nAnswer: -6713\/11880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003108 to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*j + 232 = 2*s, -5 = -5*j. Let n = 68 + -47. Let w = s - n. What are the prime factors of w?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15486 + 16171. Calculate the highest common divisor of t and 1918.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 5*c**2 - 6*c + 2. Let m be q(6). Let b(t) = t**m + 0*t**2 + 0*t**2 + t**2. Let a(v) = 191 - 191 + 2*v. Determine b(a(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4488 and 1060035?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*t**6 - t**4 + 29*t**3 + 1789*t**2 - 1.\nAnswer: -4680*t**3 - 24*t + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1879*x + 1323 - 639*x - 1323 + (4*x + 0*x - 6*x)*(3 - 1 - 3) + 0*x + 0*x - x to k*x + b and give k.\nAnswer: 1241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1276 - 1275.8. What is the nearest to n in -1\/4, -3, 5.4, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 80 - (-15 - (116 + -124)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y. Let x(c) = 18*c**2 - 11. What is x(q(w))?\nAnswer: 72*w**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-3 + 3)) + -2 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 4*s + 4*a, 2*a = 42*s - 45*s - 23 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 43 in ascending order.\nAnswer: -3, 0, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -997*l**2 - 40923*l - 1932. Give f(-41).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 804742 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 428 + -412. Suppose z + 3341 = 2*i, -4 = -4*z - f. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43710.192s in days?\nAnswer: 0.505905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 8:45 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/11 (b) 33 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**7\/98 - 11*r**6\/840 + r**5\/210 + 10*r**2. Factor m(n).\nAnswer: n**2*(3*n - 1)*(5*n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (53 - 73 - -42)\/(-1 - -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 0.4451648?\nAnswer: -0.3451648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 26*t - 1 + 47*t + 6 + 81*t. Let s(c) = 461*c + 14. Let q(x) = 17*f(x) - 6*s(x). Is q(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 3. Let z be v(6). Let t(w) = w**2 + 5*w + 3. Let u be t(z). Put 3, u, -2 in increasing order.\nAnswer: u, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven halves of a day?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/10 + 168\/20. Let n = -9 + w. Suppose -3*z + 2*z + 2*x = -15, 5*z - 5*x - 80 = n. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 430528 * 0.4.\nAnswer: 172211.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/9, -1\/2, -1\/4, -520, -3 in increasing order.\nAnswer: -520, -3, -1\/2, -1\/4, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5486757 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -171, -232, -303, -390, -499?\n\"Answer: -r**3 + r**2 - 57*r - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 77\/(-44)*4*4\/(-56)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3104, -6216, -9342, -12482, -15636, -18804, -21986?\nAnswer: -25182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**2 + 308*q + 4248 = 0.\nAnswer: -59, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 12*j**2 - 15*j + 12. Determine y(13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/10 and -11\/1438.\nAnswer: 7190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1069*v**2 - 589*v wrt v.\nAnswer: -2138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4414511 centuries to months.\nAnswer: 529.74132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(((-2)\/68)\/(-1)). Let m = 4051\/294 + -30\/49. Find the common denominator of w\/(-8) - (1 - 3) and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5118.94171 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + -32. Let s = f - -72. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384*h + 145*h = -717. Suppose 40\/3*n**5 - 140\/3*n**4 + 50\/3*n**2 + 5\/2*n + 85\/6*n**h + 0 = 0. What is n?\nAnswer: -1\/4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*y + 96*y + 105*y + 27*y**2 + 95*y - 380*y.\nAnswer: 27*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3328, -13169, -29552, -52477, -81944?\n\"Answer: -3271*y**2 - 28*y - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/59 + 67\/236. Which is the nearest to n? (a) -1\/9 (b) -4\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 327.9735 + -341.97. Let j = 14 + n. Round j to 4 dps.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 8*l - 16.\nAnswer: -(l + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - b + 2*b**2 + 0*b - 26897 + 2655*b**4 + 26895 to o*b**2 + j*b**3 + f*b + l + r*b**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378*p**3 + 103*p**3 + 94*p**3 + 90*p**3 + 92*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**4\/3 + 313*g**3 - 9590*g**2 + 289700*g\/3 - 323000 = 0.\nAnswer: -969, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*w + 7*w. What are the prime factors of 3600\/78 + w\/(-39)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12411?\nAnswer: 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -5, -3 in increasing order.\nAnswer: -5, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l - l + 7*l - 2*l. Let h = -4 + 6. Let x(w) = -9 + 12 - 3 + w**h. Calculate t(x(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 10*r + 30 = 0. Which is bigger: r or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*2*sqrt(245) - (sqrt(245) + sqrt(245) + -3 + sqrt(245) + -1 + sqrt(245) + sqrt(245) + 1 + sqrt(245) + 1))**2*6.\nAnswer: 1008*sqrt(5) + 52944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k**2 + 6. Let x(i) = -10*i. Let g(s) = -29*s. Let f(h) = -2*h**2 + 8*h + 7. Let d be f(6). Let p(q) = d*x(q) + 6*g(q). Determine o(p(a)).\nAnswer: 96*a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 343876 and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 7*f - 2*f = 21, 0 = -5*l - 3*f + 5. Suppose -v + 8 = -0*v. Let d(j) = 1 + v*j + 2*j - 16*j. Calculate d(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -405058.18 to the nearest 100.\nAnswer: -405100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1127855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1930 + -4172. Calculate the common denominator of 14\/105 - d\/60 and -8\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 1, -4, -9, -14?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 u when four letters picked without replacement from {u: 3, f: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -513*y**5\/5 - y**4\/6 - 929*y**3\/3 - 5549*y. Find the second derivative of u(t) wrt t.\nAnswer: -12312*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3663 and 198.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a centimeter in micrometers?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/(1\/2). Let d be -2 - (-44)\/18 - ((-246)\/54 - -10). Sort 0, c, d, 5 in increasing order.\nAnswer: d, 0, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 4*r + 18, 60 - 51 = u - 4*r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d2920 + -5?\nAnswer: -d2925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 22*d**2 - 23*d**2 + 0 - 4*d**2 + 4*d**2 - d**2 + (2*d + 0*d - d)*(0*d + 2*d - 3*d) in the form j + g*d + x*d**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14883422?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 11*u + 20 = 0. Solve 4*z = 11 + u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*2)\/(1*sqrt(7)*2))**2 + (-3 + sqrt(192) + sqrt(192) + -1 + ((sqrt(192)*2*-1 + sqrt(192))**2 - sqrt(192)))*-1.\nAnswer: -176 - 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 92, 3, -27, 2 in descending order.\nAnswer: 92, 4, 3, 2, 1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 197*u - 190 with respect to u.\nAnswer: 197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -2342044?\nAnswer: 2342041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 2*z**2 - z**2)*(-15*z + 9*z + 32*z)*(4*z**2 + 0*z**2 - 5*z**2).\nAnswer: 130*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -11*s - 4. Let p(r) = -10*r - 5. Let k(q) = 3*h(q) - 4*p(q). Suppose 12 = -2*n + 56. What is the remainder when k(5) is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/6 + -1)\/(129\/43).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((30 + 2*b - 30)*(-2 - 5 + 4) + 4*b - b - b)*(2*b**4 + 0*b**4 + 0*b**4).\nAnswer: -8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 611 and 312973.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -809*a**2*g*j*x + a**2*g*x - 4*a**2*g + 2*a**2*j*x + 24*a*g - 30*a*x wrt j?\nAnswer: -809*a**2*g*x + 2*a**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 + 10*y**2 - 26*y + 30. Let s be (-140)\/21 - ((-4)\/6 + 1). Let u be v(s). Solve -4 - u = 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + q + 2*q + (-q - q + 0*q)*(0 + 3 - 4) - 38 + 38 + 8*q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.2 * 10.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 248641741?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 63 - (-4308 - -4281).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + t**4 + 3*t + 3*t**3)*(-2 + 1 + 4 + (-1 + 3 + 0)*(-3 + 8 - 2) - 4 + 0 + 3).\nAnswer: 8*t**4 + 24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 8. Suppose -196 = -33*l + 2. Find the second derivative of 0*j - 2*j + 6*j + l*j**5 + 6*j**o wrt j.\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1296)\/(-1134)*1\/4. What is the closest to q in -2\/3, -298, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -561099906*f**4*s**2 + 18489537*f + 10*s**2 wrt f?\nAnswer: -6733198872*f**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -6*z + 100. Let j = 68 + -62. Calculate the remainder when z is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (332*i - 342*i - 2 + 4)*(2*i**3 + 2*i**3 - 5*i**3) to u*i**2 + o*i + w*i**3 + x*i**4 + f and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*g + 1 - 2, -4*v + 5*g - 21 = 0. Let l(h) = -2*h - h**3 - 3*h**2 - 2*h + 3 + 0*h**3 - 9. Is l(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -16. What is the tens digit of (6 - 5)\/(m\/154)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b = 225. Let g(t) = -t**3 - 4*t**2 - 2*t + 6. Let k be g(-3). Suppose -b = -8*h + k*h. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3759 - -3809. Suppose o - 7*b - 58 = -3*b, -o + b = -52. Find the second derivative of -o - 11*l**2 + i + 22*l wrt l.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2503359*u**2 + 1363978*u wrt u.\nAnswer: 5006718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -4\/9 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2*1\/2*(11 + -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5485 - -5485. Sort -6\/7, 1\/10, n, -0.2 in ascending order.\nAnswer: -6\/7, -0.2, n, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -93 in 4\/35, -2\/11, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/9 less than or equal to -1\/769449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(209) + sqrt(209) + (sqrt(209) - sqrt(209)*3) + sqrt(209)))\/sqrt(11))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/4 (b) -0.5 (c) -0.28 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 616 divided by 6\nAnswer: 308\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (5277\/2)\/(-15*(-3)\/90) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -937, 1\/5, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*w = -w. Suppose 4*y - 2 + 6 = w. Let c(i) = -i - 1. Let v(b) = -b**2 - 5*b - 5. Calculate y*v(h) + 4*c(h).\nAnswer: h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and 5.5043.\nAnswer: 4.40344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 5 (c) -4 (d) -3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/12 - 2\/(-15)*-5. Let u be g\/((-4)\/(-6) + 564\/(-792)). Solve 2*n = -2*n + 2*l - u, 2*n - 7 = -5*l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -24653148 and -4.\nAnswer: -24653152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - 1. Which is the third biggest value? (a) -2 (b) -1\/12 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 1\/2*s**3 + 2 + 1\/30*s**6 + 7\/12*s**4 + 46*s + 0*s**5 + 5\/2*s**2. Find the second derivative of d(p) wrt p.\nAnswer: 12*p**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*f - 9 + 39, n - f = 0. Suppose -4*z + 0*z + 291 = t, n*z - 375 = -5*t. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*s**4 + 0 - 2\/3*s**2 + 0*s + 2\/3*s**5 - 2\/3*s**3 = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 8.69504062663.\nAnswer: 8.39504062663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14222 and 1344148?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 373.\nAnswer: 149.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 252 - -510. What are the prime factors of o?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.8 - 19193305622\nAnswer: -19193305614.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111111111001011101111010 (base 2) to base 8.\nAnswer: -77713572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 + -30. What is the third derivative of -30*a**5 + 32*a**5 - w*a**5 - 24*a**2 wrt a?\nAnswer: -2040*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 = -101*n - 566 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46701 - -79029. Is (4\/6)\/(24\/v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + x = 4*k - 415, 4*x + 824 = 2*k. Let m = 1053 - k. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3 + -5*sqrt(38)\/sqrt(2)*-5)**2.\nAnswer: 150*sqrt(19) + 11884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 459749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 5*n - 10, -2*b + 4*n = 20 - 8. Suppose -b*y + 6 = 14, -12 = -2*k + y. Differentiate -10*w**2 + 2*w**k - 2 + 10*w**2 wrt w.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/6)\/(d\/(d\/(d\/d**1))*d*d*d)*(d\/(d\/(d\/(d\/(d\/d**(-1)))*d)))**(-11) assuming d is positive.\nAnswer: d**(-217\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + t**2 - 4*t + 3. Calculate n(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**5\/20 + p**3\/6 - 4*p**2 - p. Let v be 6 + -5 + (-18)\/(-6). Suppose 3*w = -7*j + 6*j, -v*j = 4*w. What is a(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 954 + -642. Suppose -14*j + r = -1564. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*r**2 + 3*r - 150 wrt r?\nAnswer: -20*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/3322367 and 10\/9.\nAnswer: 29901303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 2, -1\/4, 13, -5, 9.261.\nAnswer: -18, -5, -1\/4, 2, 9.261, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 730533\/58 + -12595. Calculate the common denominator of l and 18.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*y - 5*y. Let b be (1 - 0)\/(1\/2). Suppose -b*i + 5*i = 3. What is the smallest common multiple of y and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16995 + -9613. Is (-2)\/(4\/w*-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 233664?\nAnswer: -233661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 0*f**3 + 8*f**3)*(-2*f + 4 - 4).\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97534 is divided by 3250.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*z - 75, -z = -2*z - 5*q - 6. Suppose -3*t - 2640 = -z*t. Calculate the highest common divisor of 15 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40828394, -40828384, -40828374?\nAnswer: -40828364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**5\/510 + d**4\/102 + d**3\/51 + 3*d**2 + 4*d. Let h(k) be the first derivative of c(k). Factor h(w).\nAnswer: 2*(w + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (24\/(-4) + -1). Suppose 2*m + k = 0, -m = g - 5*g + 40. Calculate the highest common divisor of 99 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 6:20 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1312.455 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqg when three letters picked without replacement from xxqgllsuggggqgg?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - w + w + 2*w)*(627 + 12*w**2 - 627).\nAnswer: 24*w**3 + 24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 1. Let v be 18\/(-30) + 36\/10. Let o(n) = 6*n - 5*n + v*n - 5 - 1. Let j = -10 + 4. Give j*c(s) - o(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -245 - -248. Suppose u + 2*q - 99 = -2*u, m*u + q - 102 = 0. Calculate the highest common divisor of u and 455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 2820?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 9*f - 10. Let m be r(-9). Let t be ((-4605)\/m)\/((-6)\/(-4)). Suppose -5*y - 2*j + t = 0, 2*j - 1 = j. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -8*b - 3. Let f(z) = 15*z + 5. Let y(l) = -l**3 + 4*l**2 - 7*l + 53. Let v be y(5). Give v*h(n) - 4*f(n).\nAnswer: -4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 26*b + 1549. Calculate t(-70).\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 5*q**2 + 2*q - 5. Suppose -3*r - 27 = -4*m, 3*r + 3 = -2*m - 6. Let i be p(m). Is i less than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 140227 - 1538927\/11. Let l = -325 + c. Calculate the common denominator of l and -149\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97 + 40. Let l = i - 43. Let r = -99.99999943 - l. What is r rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64092.\nAnswer: 2, 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-12)*-3 - (-1 + -17). Suppose b - m = 4*o, 3*b - 4*b + 3*o = -20. Calculate the remainder when b is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.4 - -1.6. Let c = x - 9. Let o = -2.5 - c. What is the closest to 1 in o, 1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*l**2 + 33 - 33 + 33*l**2 to u + a*l + b*l**2 and give b.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422877 is divided by 42284.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-24) + 38\/(-969). Which is the nearest to -3? (a) n (b) 0.4 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 16*x + 0 - 5\/3*x**3 + 0*x**4 - 8\/5*x**5 - 5\/2*x**2. Is u(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 69*w. Let h(z) = -z**2. Give h(m(a)).\nAnswer: -a**4 + 138*a**3 - 4761*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 77 - 76*z - 149*z + 143*z. Let m(w) = 27*w - 25. Let a(d) = -3*i(d) - 8*m(d). Differentiate a(t) wrt t.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 146 = -5*m + 2*m, 0 = 5*m - 2*j - 248. What is the highest common divisor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309066.\nAnswer: 2, 3, 51511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**2. Let j(s) = -34 - 3351*s + 38 - 4 + 1257*s. Calculate u(j(h)).\nAnswer: 17539344*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4613*y**2 - 1738*y**3 - 1678*y**3 + 1043*y**3 - 2386*y**3 wrt y?\nAnswer: -28554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 6085*j**4\/12 - 5*j**3\/6 + j**2\/2 + 3*j - 1. Is l(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44208539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-7))\/q)\/q*q**(-1\/8))\/(q**1\/q)**14 assuming q is positive.\nAnswer: q**(47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 12*h**2. Let v(b) = b + 1. Let a = -116 - -121. Let k(j) = -14*j - 5. Let i(x) = a*v(x) + k(x). Give w(i(n)).\nAnswer: 972*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34, 18, -16, -74, -162, -286, -452?\n\"Answer: -q**3 - 3*q**2 + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-148)\/3*-6*-5*(-3)\/(-120).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3790 is divided by 2745?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -518299 + 518302. Let -s**2 + 16 + 1\/4*s**z - 4*s = 0. Calculate s.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201338713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 759496 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*i - 16 = -7*i, -4 = -k + 2*i. Suppose 4*v = 2*v + 6. Solve 4 = k*y + s + s, 5*y = -v*s + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0. Let p = 0.671 + -0.71. Let h = -1.939 - p. Do h and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/(m\/m**(1\/4)))*m**(3\/11))**26 assuming m is positive.\nAnswer: m**(13\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.4 - 329.3. Let g = o + 306. What is g rounded to zero dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3314 or 29836\/9?\nAnswer: 3314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1853.\nAnswer: 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 261 and 3973?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/24*(-60)\/9. Solve -n = 2*f - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2, -1\/5, -66\/17?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 8 = -3*y + d, 3*y + 3*d = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 1112 + 356. Find the common denominator of (-159)\/j + 4 + 1 and -17\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*t = t + 112, -5*v - 2*t = -197. Suppose -7 = -3*h + 2, h + v = 2*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*j - 5 = -87*j - 5*t, -1 = j + 5*t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 2, 19 in descending order.\nAnswer: 19, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7502 and 125537786.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 + 55 = 3*n. Let c be (n - -5)\/4*148. Suppose j = 4*t - c, 5*j = t - 381 - 27. Does -83 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1172 - -2989. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o - 6 + 9 - 18)*(-3 - o + 3) + (3*o + o - 5*o)*(-2*o + 4*o - o) - o**2 - 2*o**2 + 2*o**2.\nAnswer: 5*o**2 + 15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/12 + 16872\/(-2736).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 695, 2693, 6027, 10697, 16703, 24045, 32723?\n\"Answer: 668*j**2 - 6*j + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 10*w**2 + 8*w - 16. Let f be m(-11). Suppose 6*y - f + 5 = 0. Which is smaller: y or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*j**4 - 149*j**3 - 12*j**2 + 1691441*j wrt j?\nAnswer: 228*j**2 - 894*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-4))\/(1\/4). Calculate the common denominator of (-5)\/p + (-29)\/(-9) and 4\/26 + 16720\/832.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (2392\/(-78) + 10))*-2.\nAnswer: -52\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 2*c + 12, -20*d + 6*c = -23*d + 39 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -259\/204 - -23\/17. Let l(d) be the third derivative of 0*d + 0 + 5\/2*d**3 + h*d**5 - 5\/6*d**4 + 6*d**2. Find i such that l(i) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -69*q + 27. Let w(t) = -10*t + 4. Let y(z) = 4*s(z) - 27*w(z). Let g(o) = o. Give -g(c) + y(c).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 1 = 8*l - 16*l, 19*l = -4*p + 31 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 13*i**2 + 15*i - 9. What is the least common multiple of r(14) and 21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2500*t - 620 + 959*t**2 - 3495*t**2 + 1371*t**2 + 35*t**3 = 0.\nAnswer: 2\/7, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -228\/207617?\nAnswer: -228\/207617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + sqrt(171) + sqrt(171)) - (sqrt(171) - (-4 + -2*sqrt(171))))**2 + 2*-5*(sqrt(171) + -3).\nAnswer: 150*sqrt(19) + 4341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-30))\/(-2*(-7)\/385*-11).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p - 71 - 3*p + 68. Let r be (6 - 0)*(-3)\/(-6). Suppose -1 = r*q + 8. Determine s(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1672185606 take away -1.4?\nAnswer: 1672185607.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/1057 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-812)\/480)\/(-7) + 0. Let v = -1\/24 + l. Factor 1\/5*c**4 + 0*c - v*c**2 + 0*c**3 + 0.\nAnswer: c**2*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10, 57, 128, 217, 318, 425?\n\"Answer: -r**3 + 18*r**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10.71 in -207, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*p**5 - 6*p**4 - 36*p**2.\nAnswer: 780*p**2 - 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*n**6*y**2 + 2*n**5*y**2 + 9*n**2*y - 19*n*y**2 wrt n?\nAnswer: 1080*n**3*y**2 + 120*n**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(1 - 0)*-1. What is the remainder when 49 is divided by 2\/6 - 74\/r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/sqrt(160) - 4*(sqrt(17)*1)**2.\nAnswer: -68 + sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b**2. Let t(k) be the first derivative of 63 + 1\/3*k**3 + 0*k**2 + 0*k. What is v(t(o))?\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 42 + -34 + 10 + -1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c + 966 = 0. Let s be 23\/((-161)\/609)*(-4)\/6. Let d = c + s. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1432664 (base 7) to base 9\nAnswer: 323802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -294.0006 + 0.0006. Let r = -293.98 - n. What is the biggest value in 1\/6, r, -0.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*(-3*(1 + sqrt(1573)) + sqrt(1573)) - (4 + (sqrt(1573) + (-5 + sqrt(1573) - sqrt(1573)) + sqrt(1573))*-1 + sqrt(1573))) + 5)**2.\nAnswer: 528*sqrt(13) + 14221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 5. Let f be 18\/(-4) + (-4)\/8. Let x be q(f). Let t = x + 3. Put 6, t, 4 in increasing order.\nAnswer: t, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -287, -804, -1559, -2552, -3783?\nAnswer: -5252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - 3*c + 4*c**4 - c**4 + (2*c - 1 + 1)*(0 + 0 - 2*c**3) - 1008*c**4 + 192*c**4 - 126*c**4.\nAnswer: -943*c**4 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.24837 rounded to 1 dp?\nAnswer: -86.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 2:20 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1486231 to the power of 1\/2, to the nearest integer?\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 - (-18)\/12)*2. Suppose -m + y = -5*b, -2*m + 2*b + 10 = -0*b. Solve -4*l - 15 = 3*s - 8*s, 0 = 4*s - m*l - 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4940.9 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -151*k**6\/20 + 193*k**5\/12 + 3*k**2 - 52*k. What is the third derivative of m(q) wrt q?\nAnswer: -5436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 + 57. Let r = x + 39.108. Round r to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 950608751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 3*s**2 - 4*s - 2. What is g(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -692, -1422, -2166, -2930, -3720, -4542, -5402, -6306?\n\"Answer: -o**3 - o**2 - 720*o + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**5 - 1392*s**4 - 1398*s**3 + 1392*s**2 + 1395*s = 0.\nAnswer: -1, 0, 1, 465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-170)\/(-51))\/((-36)\/(-54)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5906 or 5905?\nAnswer: 5905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (-1 + 2)) + 2. Suppose 3*h = -4*b + h - 62, a = -5*b - 2*h - 80. What is the least common multiple of 18 and (-4)\/b - 1144\/(-117)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63988 is divided by 1181?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -245 divided by -1214\nAnswer: 245\/1214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4176 - 4176.5. Put 0.86, 0.2, k in descending order.\nAnswer: 0.86, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(2\/17)*i)*i**1)\/(i\/(((((i\/i**(-2\/11))\/i)\/i)\/i)\/i)*i**8))**(-1\/5) assuming i is positive.\nAnswer: i**(2232\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 6*q - 8*q + 10*q + 6 - 14, u + 8*q + 9 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 5*k - 21, y = 2*y - 2*k - 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1380970472.\nAnswer: 2, 7, 271, 90997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -4*q - 2*l - 9, -q - 5*l = -8. Suppose 0*i = 4*i - q. Solve w + 4*d = i, -d = 3*w - 5 - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/40 and -19\/2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-96685)\/19470 - (-12 + 7). Let g = -4557 + 806587\/177. Let w = g - r. What is the common denominator of w and 137\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -521?\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x**2 + 5*x + 4. Let g be f(-4). Suppose -112*q - 84 = -119*q. What is the greatest common divisor of g and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9480 and 1580?\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72a (base 12) to base 11.\nAnswer: -868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001101000101011101001 (base 2) to base 5.\nAnswer: 1121312204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.6 - -0.4. Let m = -2.7 + v. Which is the second smallest value? (a) -2 (b) m (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3735 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92 + 15*m - 92)*(-4*m**2 + 10*m**2 + 18*m**2)*(3 - 1 - 3 + (3 - 1 - 1)*(2 - 2 - 4)).\nAnswer: -1800*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**4 - 1344*n**3 - 83028*n**2 - 1434712*n = 0. What is n?\nAnswer: -262, -37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1053\/7 - 151. Suppose -19 = 4*p + 5*t, -p - t = -6*p - 2. Let y = -0.001 + 0.401. Which is the nearest to p? (a) y (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 4*v**2 - 8*v - 4. Let h(k) = k**2 - 12*k + 6. Let y be h(11). Give s(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**5*c*c))\/(c\/c**(2\/9))*c**4\/(c\/c**(-3)))\/((c**(2\/5))**43\/(c**1)**(-39)) assuming c is positive.\nAnswer: c**(-2834\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -212, -2, -20, 9 in decreasing order.\nAnswer: 9, -2, -20, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/10 + (-20)\/(-75)*21. List the prime factors of (-3)\/((w\/1095)\/(1\/(-1))).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.92756 * -1.\nAnswer: 8.92756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5601355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 594.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = -5*u - q, 5*q = 15*u - 232 - 248 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 1673.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 28468*v**2 + 202578285*v + 405270450.\nAnswer: (v - 14235)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**3 - 10*o**2 + o - 12. Let p(d) = 11*d**3 - 31*d**2 + 3*d - 38. Calculate 7*i(j) - 2*p(j).\nAnswer: -j**3 - 8*j**2 + j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 454545 + -14510?\nAnswer: 440035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 36*y**3 - 55*y**2 + 620*y. Let u(l) = -7*l**3 + 10*l**2 - 124*l. What is 2*t(a) + 11*u(a)?\nAnswer: -5*a**3 - 124*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**2 - 5*y. Let a(v) = 9*v**2 + 9*v - 1. Let b be -1*2\/8 + 52\/16. What is b*a(o) + 5*n(o)?\nAnswer: 2*o**2 + 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175 and 14825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z + 3. Suppose 0 = 7*v - 182 + 105. Let b(x) = 9*x - 94. Let m be b(v). Give k(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n - 9. Let x(t) = -2*t - 3. Let a(f) = f. Let s(q) = 4*a(q) + x(q). What is -6*m(b) + 17*s(b)?\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2*(-10 + -2). Let o(h) = 4*h - 4 - 5*h + 3*h. What is the units digit of o(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 - 11 = -5*l. Let z(a) = l*a - 9*a + 0*a. Let n(q) = 3*q. Give n(z(j)).\nAnswer: 57*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -0*h + 3*h + 38*q - 37*q - 33, 5*q = -31 + 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/87 and -131\/288318.\nAnswer: 288318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 - 64.7. Let d = 7.8 - s. Let b = 1 - 8. Put d, -4, b in descending order.\nAnswer: d, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 20 = 10. Suppose 0 = a + 2*a - 12. Solve a = 5*i - h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + 4*z - 9, 9*k - 4*z = 4*k + 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1328581359, -1328581361, -1328581363, -1328581365, -1328581367, -1328581369?\nAnswer: -1328581371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6711799 and -2.\nAnswer: -13423598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16671943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16391 and 63233?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 - -8) + -66 + 1 + -1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o = -36. Solve -3*y - y = o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3281 - 1376. Let q = -1052 + t. List the prime factors of q.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((b\/b**(-15))\/b*b))\/(b*b\/(b\/(b*b**(-1\/7)))*b)*(b**(-5))**(-4\/25))**47 assuming b is positive.\nAnswer: b**(-26414\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 8 - ((41 - 52) + 0)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -188029\/16272 - 1\/5424. Let o = z + 169\/45. Is o greater than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2. Suppose 0 = 4*b - 180 - 200. Let k(u) = -55*u + b*u - 48*u. Give f(k(p)).\nAnswer: 64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -100*l**3 - 9*l**2 - 5*l - 3. Let z(n) = -198*n**3 - 16*n**2 - 8*n - 5. Determine 5*r(f) - 3*z(f).\nAnswer: 94*f**3 + 3*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) - (sqrt(76) - (sqrt(76) + 1))*5))**2 + (-2 + sqrt(931) + sqrt(19))*2.\nAnswer: 56*sqrt(19) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17462, -35788, -54114, -72440, -90766, -109092?\n\"Answer: -18326*s + 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (4 - 12) - 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*u + 271*u - 2*u**2 - 1071*u + 252*u + 268*u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 6:23 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 + (-3 - (-8 + 15)) - -3117. 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 are the prime factors of 210396?\nAnswer: 2, 3, 89, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*s - 3*s - 49 + 49 in the form h*s + x and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -236, -936, -2102, -3734, -5832, -8396, -11426?\n\"Answer: -233*h**2 - h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 167*c - 18. Let n be o(-6). What is n rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 8:27 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68*w**2 - 5 - 4*w**3 - 40335*w + 4 + 40215*w + 1.\nAnswer: -4*w*(w - 15)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgpx when four letters picked without replacement from {x: 2, n: 1, g: 2, o: 1, p: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -9*z**3 - 6*z**2 - 10*z + 89. Let d(f) = -26*f**3 - 17*f**2 - 28*f + 266. Give -17*b(r) + 6*d(r).\nAnswer: -3*r**3 + 2*r + 83","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.831839 + -0.168161. Suppose 0*r = -4*l - 2*r + 16, 3*l + 2*r - 12 = 0. Let h be (1\/l)\/((-3)\/(-4)). Which is the biggest value? (a) h (b) p (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -8*g**3 - 54*g**2 + 6378*g + 11284 = 0.\nAnswer: -31, -7\/4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 954297832?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-32 - ((-4 - 18) + 14))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 213 + -4b?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -283, -1349, -3127, -5617, -8819, -12733?\nAnswer: -17359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Let d(p) = -p**3 - p - 6. Let y be d(-2). Solve -y*r = 3*c - 27, j*c = -3*r - c + 24 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25196 divided by -12598\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.32, 4, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 119581001741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 596, 1338, 2376?\nAnswer: 3710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/232 and 14\/261.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12021 - 2021010201?\nAnswer: -2021022222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -505*z + 57063. Calculate u(113).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256611 is divided by 128302?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 21. Let g(a) = a**3 + 8*a**2 - 2*a - 3. Let t be g(-8). Suppose j*q - 3*q + 5*p = -23, -t = q + 3*p. What is the remainder when 5 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l = -19*l + 5*r + 40, -5*l + 3*r = -81. Suppose -4*u + 136 + 88 = 0. Calculate the remainder when u is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1124430 and -43\/215769.\nAnswer: 79834530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 1. Let d(y) = -2*y + 10 + 0*y + 3*y**3 + 0*y**2 - 6*y**2 - 4*y. Let a(s) = -4*b(s) + d(s). Is a(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1110232 - -3300?\nAnswer: 1120132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 843 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**2 + 1323*b - 1324 = 0.\nAnswer: -1324, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 5) in base 10?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phh when three letters picked without replacement from ppphpphp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 754524192 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -2*a + 3*l, -5*a - l = -6*l - 205. What is the remainder when 4*a\/(-3)*3\/(-4) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 65 - 163. Let q = -40 + z. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1143 - 1011022?\nAnswer: -1004324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44769242 and 173362?\nAnswer: 5978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8282*c**3 - 366*c - 8285*c**3 + 120*c + 122*c + 124*c + 16569*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = -11*r + 13*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-109)\/(-2)*(-3 + 15\/3) is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 731, 1482, 2235, 2990?\n\"Answer: i**2 + 748*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115345393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -19927688 divided by 1?\nAnswer: -19927688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3470684 + 1936284. What is c rounded to the nearest 10000?\nAnswer: -1530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(1\/6)*f))\/f**(2\/5))\/(f**(-2\/3))**(4\/9) assuming f is positive.\nAnswer: f**(-253\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2933*n + 50938 + 34119 = 0 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4572.26983 to zero decimal places.\nAnswer: 4572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 3:54 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 7:15 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 8*d - 10. Let j = -106 - -96. List the prime factors of p(j).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 11:28 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8155\/3 - -2695. Is -23 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*g**2 - 10120310*g - 2248960.\nAnswer: 5*(g - 224896)*(9*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.205048 weeks?\nAnswer: 1.435336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 4*n**2 - 5*n + 4. Let r be h(-5). Let x = 2 - r. Is 111\/2 - x\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1143 and 2691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*z**2 + 2 - z + 31*z**2 - 2.\nAnswer: 93*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -24024 divided by -4?\nAnswer: 6006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a*g**3*o**3 - 98*a*g**3 - 2*a*g**2*o**3 + 2*a*g - 2*a*o**3 + 4*a*o**2 - 2*g**3*o**2 + g**2*o**2 wrt o?\nAnswer: -12*a*g**3 - 12*a*g**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/1485*(-1368)\/304?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (6 - 2)) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 x, and 2 b when four letters picked without replacement from nnbbnnnnnlnxllnlbnn.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 6:40 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 4*f**2 + 6*f. Let o be d(-5). Let k be (o - 1)*(-4)\/8. Suppose 0 = 2*i - 2*a - 1764, -24*i = -19*i + k*a - 4450. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2411714 is divided by 1205820?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3399 - 1\nAnswer: 3398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 132 = -33*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 2*h + 2*h)*(-254*h**2 + 7*h**2 - 3*h - 14*h**2).\nAnswer: -522*h**4 - 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*j + j - 5*j)*(4 + 0 - 3) + j - 2 + 2)*(3 + j - 3)*(130*j - 297*j + 897 + 169*j) to the form c*j**2 + y*j + t + s*j**3 and give c.\nAnswer: -897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7432, 7433, 7434, 7435, 7436, 7437?\nAnswer: 7438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -7 - (45 + -52) - 9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 604223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3273653266112 less than -0.012?\nAnswer: -3273653266112.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**3 + 405*s**2 - 1180*s + 780 = 0.\nAnswer: 1, 2, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0546028 and 0.3.\nAnswer: -0.01638084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 180.98 + -179. Let y = -2 + o. Let w = 0.02046 + y. Round w to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*z + 4*m, 5*z - 7*m = -4*m + 37. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 1:49 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (-47 + 18)) + -15\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*z = 15, 5*z + 24 = -4*h + 8. Let x(s) = h - 1 + 37*s - 34*s. Let q(r) be the first derivative of 2*r**3\/3 - 1. Calculate x(q(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 324?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = 3*d. Let r be 2\/(-2) - (d + -1). Solve 5*n + 23 = 2*p, r*n - 4*p - 2 = -8 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4676*z**2 + 5. Let w(r) = -388*r. What is w(n(u))?\nAnswer: -1814288*u**2 - 1940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*w. Suppose -2*v = 2*u - 12, 0 = 179*u - 183*u - 4. Suppose 5*h + v*m - 90 = 2*m, w = 2*h + 4*m - 44. Solve 10 = -2*g, 3*y - h = 2*g + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 5)*(-18*n**2 + 18*n**2 + 14*n**3).\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410080797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83669 is divided by 139?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 242, 363, 484, 605?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/216251 and -5\/865004.\nAnswer: 865004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*b + 142, 3*d + 2*b - 103 = 108. Suppose 51 = 5*a - d. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*v - 2*v - 2*v)*(-4*v**2 + 0*v**2 + 2*v**2) + 17*v**3 - 2*v**3 - 41*v**3 to f + p*v**2 + q*v + g*v**3 and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/35 + 11770\/(-3850)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*n - 143 = 101. Solve 0*f + 8 = n*u + 4*f, 3*u = -4*f + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 + 51. Let k be ((-2)\/x)\/((-14)\/(-4))*3. Suppose 2*j + 0 = -8. Sort j, k, -2\/3 in decreasing order.\nAnswer: k, -2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1509.\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*s - 5*d + 5, -12 = -3*s + d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -3*k**2 - k + 1. Let x = -4 - 1. Let r(o) be the second derivative of o**3\/6 - 8*o. Calculate x*r(v) - z(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9542652.\nAnswer: 2, 3, 7, 16229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -223 + 2005\/9. Which is the closest to -0.09? (a) 2 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 162573459 or 162573458?\nAnswer: 162573459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 + -34. What is the greatest common divisor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39389059067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -2, -3037, 1162 in descending order.\nAnswer: 1162, 5, -2, -4, -3037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31929735*u**2 - 136146*u - 139 wrt u.\nAnswer: -63859470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 5*l + 14. Suppose 0 = 4*r - 3*t + 44, 0 = -0*r + r - 2*t + 16. What is the smallest common multiple of s(r) and 14?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143428137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1 + 2 + 12*r to q*r + v and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 13*j)*(-2*j**4 + 5*j**4 + j**4 - 2 + j**4 + 2 + (2 - 2*j**2 - 2)*(2 - 3*j**2 - 2) - 4*j**3 + 4*j**3 + 4*j**4).\nAnswer: -195*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 12) + (-13 - -11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2911 is divided by 107?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(2\/5) - ((-20691)\/(-220))\/(-19)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15283 and 510632.\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(((j\/j**(6\/11)*j)\/j)\/j)*j)\/(j*j**(-1\/3)*j)*j**(-3)*j*j\/j**(-1\/5))**(-2\/51))**(-10) assuming j is positive.\nAnswer: j**(712\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 1:59 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**8\/(q\/(q\/(q\/q**(-7\/2)))) assuming q is positive.\nAnswer: q**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-25338)\/(-11845))\/(-123))\/(2\/(15*4\/(-6)))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22268259613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09 - -4.91. Let x be (0 - 2) + (-20)\/(-5). Let l be (48\/(-20))\/(-1) - x. Which is the closest to l? (a) -2\/7 (b) -1\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-13)\/2)\/((-2)\/4). Suppose 3*u = r + 8. Suppose y - 4*y + 5*t + 10 = 0, 0 = 2*y - 3*t - u. Which is smaller: 4 or y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -160a8a + -2?\nAnswer: -160a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*a = 105 + 18, -c + 3*a + 34 = 0. Suppose d + c - 55 = 0. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 + -84 - (-4 - (1 + -5 - -3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612 is divided by 88?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -470*w. Let i(q) be the third derivative of -q**5\/60 + 6*q**2 + 13*q. Calculate i(a(s)).\nAnswer: -220900*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27398524 divided by 3.\nAnswer: 27398524\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*c = -3*o + 26, 37 = 4*o + 5*c. Let d = 11 + -3. What is the least common multiple of o and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4043.133 + -4038. What is i rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11640763?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/2 + 7. Let x(k) be the second derivative of k**3 + 0 - h*k**2 + 6*k. Find the first derivative of x(t) wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -811719 or -811717?\nAnswer: -811719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9182939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(120\/(-15)) + 20\/7\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-1\/2)*o*o**2*(o\/((o\/(o\/(o\/o**4)))\/o))\/o**(-3\/5)*((((o\/(o**(2\/11)*o))\/o)\/o)\/o**(-1))**7 assuming o is positive.\nAnswer: o**(201\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 + 3*o - 22 + 0*o**2 + 3*o**3 + o**2 to q*o**2 + j + g*o**3 + u*o and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -284 + 251.5. Let b = 61 - 93. Let h = b - z. What is the second smallest value in -4, h, -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 80 and 84 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*z + 200 = 0. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*y + 10217 = 500*y - 14443 for y.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 2*m + 4, 14*l - 15*l - 2 = -3*m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f + 20. Let t(a) = -4. Let s(m) = d(m) + 5*t(m). Let p(q) = -q**2 + 4*q**2 + q**2. What is s(p(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -30193\/618 >= -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/(-6))\/5*1\/(-5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (75\/2)\/(-2*15\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 2, y: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqvzq. Give prob of picking 1 v and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77)*-2)*-6 + ((1*sqrt(77) + sqrt(77) + sqrt(77))*-4 - sqrt(77)))\/(sqrt(70)\/(sqrt(30)\/sqrt(3))*6).\nAnswer: -7*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(8) + 0) + 5.\nAnswer: 5 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 13*g - 8*g = 11, g = 4*m - 13. Which is the third biggest value? (a) 3 (b) -5 (c) 0.5 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rurmggdm. What is prob of picking 1 m, 1 u, and 2 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-315)\/(-9))\/(15\/6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, u: 1, l: 1, q: 1, h: 1}. What is prob of sequence lque?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1530071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 5*d + 15. Let q be c(7). Let t(p) = 17*p**2 - 6*p + 5. What is the units digit of t(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/4060 and -41\/840.\nAnswer: 24360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -587 - -1033. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 207, -4, -381 in descending order.\nAnswer: 207, 3, -4, -381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-1\/6)*n*n*n)\/n**1)\/(n*n\/n**26*n*(n\/n**(2\/13))\/n))**(-32) assuming n is positive.\nAnswer: n**(-32848\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8793 is divided by 4366?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7458.456 days?\nAnswer: 644410598400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-152 - -160) + 2 + 99\/(-10)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 16. Suppose 0 = 2*b - 3*g + 2, -5 = -2*b - g + 1. Suppose 5 = m + b. Solve m*q + t - 6 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, -6, -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9963 + -5?\nAnswer: 9958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9996 divided by -476.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33009\/4 + -8273. Calculate the common denominator of t and 3\/107.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2759\/120 + -185\/8. What is the nearest to 21.8 in 0.4, 1\/2, -3, i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.01, -5\/4, 130, 2\/15, 273.5, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3012\/(-2510)*(-5)\/(-3). Let s(r) = 2*r + 20. Let m(y) = -y - 10. Give v*s(j) - 5*m(j).\nAnswer: j + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2001.\nAnswer: 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from anandavndd. Give prob of sequence dda.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**4 + 7*w**4 - w**4 + (-6*w**4 + 7*w**4 + 9*w**4)*(-3 + 6 - 2) to the form k*w + u + t*w**2 + c*w**4 + o*w**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*f + 350 = -43*f. Let k be ((-4)\/10)\/(4\/f). What is the greatest common factor of 4 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*(sqrt(65) - (sqrt(65) - -2*(sqrt(65)*2 + sqrt(65))) - 2*(sqrt(65) + (sqrt(65) - sqrt(65)*1))))\/((sqrt(500) - 2*sqrt(500)*-2)*-3).\nAnswer: -2 + 8*sqrt(13)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 1725?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -d - 25. Let p = 3 - 4. Let x be p\/(-2*(-2)\/(-4)). Put 2, x, d in decreasing order.\nAnswer: d, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.12 - -0.08. Let n = s + -2.1. Which is the second biggest value? (a) -1\/6 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -5. Let i(o) = -c*o - 3*o + 4*o. Let n(h) = -17*h. Calculate i(n(x)).\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -44571.8 to the nearest one thousand.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + -54. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 - 3 = 4*b. Let p(v) = -45*v**2 + b*v**2 + 18*v**2 + 11*v**2. Let d(r) = -1. Let y(h) = -12*h + 4. Let g(m) = 4*d(m) + y(m). What is g(p(f))?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**2 + c - 2. Let a be t(-2). Let d = -17 + a. Let y(p) = 6*p**3 + 5*p**2 + 5. Let r(b) = -b**3 - b**2 - 1. What is d*y(o) - 5*r(o)?\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*d**3 - 10*d + 14*d + 4*d - 8*d.\nAnswer: -339*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 900 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 74, 131, 202?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q. Let x(h) = -3 + 13 + 13*h**2 - 1. Let t(b) = 3*b**2 + 2. Let y(l) = -9*t(l) + 2*x(l). Calculate g(y(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25553023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {s: 1, y: 3, u: 12}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19\/9 - (-6 + 8). Let n(w) = -w + 5. Let x be n(9). Let s = -4 - x. Which is greater: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 153 - 0?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yaam when four letters picked without replacement from madya?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + c - 5*c + 92, 63 = -3*f + c. Let x = 8 + f. What are the prime factors of (x\/(-3) + -1)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 7, v: 7}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooss when four letters picked without replacement from ssooooooooosoooooo?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1335*u = 1368*u + 528 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 850 and 1900?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m = 6*m + 1320. What is the highest common divisor of 15 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -389. Let g = -504 - l. Is g smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 112*n - 120*n + 24 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -j - 159, -2*f - 7*j + 11*j = -156. Suppose f = q + 66. What is the remainder when 227 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - x**3 + x + 7*x**2 - x**3 - 2*x + 10. Let h be o(6). Let a(k) = 11*k - 6. Let i be a(6). Calculate the highest common divisor of i and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61*1447.\nAnswer: -88267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3426 and 1404954636.\nAnswer: 3426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 578, 2\/9, 13, -3\/8 in increasing order.\nAnswer: -3\/8, 2\/9, 13, 578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 874.7 - 874. Let x(h) = -h**3 - 3*h**2 + 4*h + 1. Let k be x(-4). Let s be k*(-1 + (-3)\/(-4)). What is the closest to -2 in 1\/5, w, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180304278 to the power of 1\/3, to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-4))\/(7\/(-84)) - (-9 - 0). Let c(o) = o**3 - 13*o**2 + 11*o + 29. What is c(i)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 58*p**3 - 415*p - 724608 wrt p?\nAnswer: 174*p**2 - 415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1896.732t in micrograms?\nAnswer: 1896732000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s**3 - 12*s**2 - 94*s + 381. Give i(3).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 356\/543 + 2\/181. Suppose 7*w = 114 - 2. Suppose 12 = 4*c - c + 4*s, 4*c = -s + w. What is the biggest value in y, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*245\/(-105)*6\/(-9)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s + s - 3*s)*(-2 - 2*s - 6*s + 6*s) + 14 - 14 + s**2 as i*s**2 + r + c*s and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*t + 6 = 5*z, 2*t - z = -14. Let b be 4\/t*(-9 - -1). Suppose 2*y - 201 = -5*g, 2*y - b*g + 6*g = 216. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 9*v - 8. Let x be h(8). Let j(c) = -39*c**3 - 2*c - 1. Let t be j(-1). Suppose -s + 6*s - t = 0. Solve -2*g + x - s = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2\/23 (b) -2\/5409 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3813 + 1087 = 450*h - 21200. List the prime factors of h.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0147, 1\/8, -4\/145 in decreasing order.\nAnswer: 1\/8, -0.0147, -4\/145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36d8 + 9?\nAnswer: -36ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**7\/280 - 3*s**5\/40 - s**4\/4 + 2*s**3\/3 + 4*s**2. Let c(y) be the first derivative of v(y). Let c(b) = 0. What is b?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k*w**3 + 2*k*w**2 + 8*k*w + 882*k + w**3 + 36*w**2 wrt w?\nAnswer: -12*k*w + 4*k + 6*w + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/5 - (-5 - (-4 + -2)). What is the closest to l in 1\/4, -3, -0.3?\nAnswer: -0.3","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 gqodlgio.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1122648 divided by -3\nAnswer: 374216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 75728653 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55649 or -55652?\nAnswer: -55652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v**(-9\/4)*v)))**(-1\/2)*(v\/v**(-9\/4))**(1\/7) assuming v is positive.\nAnswer: v**(61\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -316 divided by -833?\nAnswer: 316\/833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v**3 + 169*v**2 + 35*v - 44. Calculate t(34).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 22*l**2 - 5. Let a(z) be the first derivative of 44*z**3\/3 - 10*z + 19. Let m(n) = 6*a(n) - 11*b(n). Differentiate m(s) wrt s.\nAnswer: 44*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.005788407 - -0.005739. Round v to six dps.\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s. Let u(m) = -69607374*m**2 + m. Calculate u(o(g)).\nAnswer: -278429496*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 10:51 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1)*j)**34\/(j**5\/((j*j**(3\/4)*j)\/j)))**(-49))**(-34) assuming j is positive.\nAnswer: j**(-10829\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7196 + 7529 = 37*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**2 + 7*y + 1. Let j be p(5). Suppose c = -23 + 40. Calculate the highest common divisor of c and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4250 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ffttqts?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -5*p**4\/12 - p**3\/6 + 2*p**2. Is x(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29.313 - -30.515. Which is the smallest value? (a) -6 (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/4 - 13*r\/4 + 7\/2.\nAnswer: -(r - 1)*(r + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3236, 0, -21, 105.\nAnswer: -21, -2, 0, 105, 3236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/24)\/(2\/3)*8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/(-52) - (-10)\/24. Let j = -1 - 1. Let i = 1 + j. Which is the closest to u? (a) -0.1 (b) -1\/6 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 21*u**2 - 19*u + 24. Let g be z(-20). List the prime factors of (-2 - 0) + g - (-8 + -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-129)\/((-10062)\/104)*(5\/4)\/(-1)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, j: 1, z: 1}. What is prob of picking 1 j and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 30. Let z(j) = -j**2. Determine n(z(w)).\nAnswer: -w**4 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (4 - 22 - -16)) + (1 - 38)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzjzzejz. Give prob of picking 2 j.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83 + -77. Calculate the least common multiple of t and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 2*t + 2. Let z = 95 - 50. Let d be (-3)\/z*5 + (-10)\/(-3). Calculate o(d).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.687 + -1.977. Let v = p + 1.19. Which is smaller: v or -274?\nAnswer: -274","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 938.9 + -939. Let p = -2 - -7. Let d = p - 5.2. What is the second biggest value in d, k, 3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2305.25 rounded to the nearest ten?\nAnswer: -2310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(-1 + 3 - 1)*(-4*d + d + 2*d) - 121*d + 109*d + 81*d.\nAnswer: 66*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 0*b**3 - 1\/160*b**5 + 0*b + 1\/160*b**6 - 1\/560*b**7 + 0*b**4 - 2*b**2 + 0. Suppose f(l) = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2439*m**4 - 6*m**2 + 37*m.\nAnswer: -58536*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - r + 5. Let n be c(0). Suppose j = 5*o + 29, n*j - 5*o = -21 + 66. Find the second derivative of -9*t + 3*t**j + 3*t - 6*t**4 wrt t.\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/((-420)\/(-20)))\/(((-3)\/(-3))\/7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + (-36)\/4 - -4)*-5. Solve 12*r + 12 = q*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -6. Let w = -6 + 4.95. Let j = w + 0.05. Which is the closest to p? (a) -2\/7 (b) j (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 399 divided by 276\nAnswer: 133\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36676075?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**3 - 4*a**2 - 4*a - 2. What is c(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*n**2 + 3 - 3)*(-5 + 19 - 13 + n).\nAnswer: -11*n**3 - 11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 10*x**2 - x + 13. Let p be h(10). Suppose 2*j = -p*j + 5. What is the units digit of 168\/(j - -3) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3) - (-40)\/(-15)*-1. Suppose 4*r = -i + 18. Suppose -b = -2*n + 5, 0 = -r*n - 3*b + 4*b + 11. Solve -3*v = j - 0*v - 5, -10 = -2*j + n*v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8)*l\/(l*l**(2\/19)\/l)*l)\/((l\/(l**(-1\/11)\/l*l*l))\/((l*l**(2\/13)*l)\/l)) assuming l is positive.\nAnswer: l**(-13700\/2717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 203631143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8081364?\nAnswer: 2, 3, 673447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 28 = -37*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*t - 9597 + 27763 = 0 for t.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.057.\nAnswer: 0.0228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444447 is divided by 19025?\nAnswer: 6872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*m + 9*m. Suppose 3*i - 4*n = -0*i + 46, m = -n + 5. Calculate the remainder when 107 is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 168.7 - -116.9. Let i = -274 + l. What is i rounded to 0 decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -19 and 16.328168375.\nAnswer: -2.671831625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r + 9*r - 1104 = 0. Calculate the least common multiple of r and 40.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 304\/1368 - 38\/9. Put 2, r, 5, -3, -8 in decreasing order.\nAnswer: 5, 2, -3, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = 1 + 23. List the prime factors of -7 + o\/(-1) - -3 - -422.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -555049, -555046, -555045, -555046, -555049, -555054?\nAnswer: -555061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvej when four letters picked without replacement from ejujuvj?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 10570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**3 + 5*y**4 - 4*y**4 - 10*y**2 - y**2 - 7*y**2 to the form f*y**4 + z + l*y**3 + v*y**2 + t*y and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 357, 710, 1053, 1380, 1685?\n\"Answer: -t**3 + t**2 + 357*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m - 28*m**3 + m - m**2 - 3 + 26*m**3 + 3*m as g*m**2 + z*m**3 + r + q*m and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*i**4*j + 2*i**3*j - 58*i**3 + 30*i**2 - 312*i*j wrt i.\nAnswer: 792*i*j + 12*j - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 2. Calculate the remainder when 475\/10*8\/10 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-247)\/(-8) - (-1)\/8. Suppose -2*t - n + 3 = 2*t, -5*n - j = -3*t. Suppose 175 = 4*b - t*c - 143, 2*c = b - 75. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**6\/180 + r**4\/6 + r. Let y(o) be the third derivative of w(o). Let c(x) = -2*x**2. Calculate y(c(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eewamxwwamwmma. What is prob of sequence wmx?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3 + (-2 + 3 + 1)*(-1 - 3 + 2))*(-60*r**2 - 32*r**5 + 60*r**2).\nAnswer: 192*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*l - 5*j + 3*j, 0 = -2*j - 4. Let y(n) = -18*n + 296. Let c be y(0). Suppose 5*f - 478 = -l*t + 6*t, -3*f - 4*t = -c. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.276 * -5\nAnswer: 16.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4913 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 251824.\nAnswer: 100729.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9264476?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -174*i**4 - 168476*i**3 + 2117547*i**2 + 2*i wrt i.\nAnswer: -4176*i - 1010856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*w - 18. Suppose -5*n - w = -8*n. What is the second derivative of 5*d + 3*d**3 + 3*d - n*d**3 - 4*d**3 wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 139*t**2 + 8*t - 16. Is f(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 621836*u**3 + 388733*u**2?\nAnswer: 3731016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 21*k**2 + 17*k - 63. What is o(21)?\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24753?\nAnswer: 3, 37, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -100?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 3 - 3)*(0 + 0 - 2)*(0 + 4 + 1).\nAnswer: -40*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**3 + 3*u**2 + 8*u - 5. Let c(a) be the third derivative of -a**6\/120 - a**5\/60 - a**4\/8 + a**3\/3 + 5*a**2 - 5*a. Calculate -3*b(k) - 8*c(k).\nAnswer: 2*k**3 - k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -23*x**2 - 11*x - 1. Let t(y) = 23*y**2 + 15*y + 1. Let p(h) = 4*t(h) + 3*u(h). Is p(21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1618)\/(-2427) - (4\/22 + (-1024)\/66).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7331213674 to the nearest integer?\nAnswer: 1943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 1\/8*s**4 + 0*s + 0 + 1\/3*s**3 - 1\/40*s**6 + 6*s**2 - 1\/60*s**5 - 1\/210*s**7. Find a, given that r(a) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p - 121. Let c be v(-33). Solve -c = -k + 3*a, 8*k + 2*a - 11 = 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.9838 and -26.\nAnswer: -51.5788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 92316 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 610024 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z. Let i(s) be the first derivative of -5*s**3\/3 - 35. Determine w(i(p)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 639848973 to the nearest integer?\nAnswer: 25295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 2*j**3 - j. Let m(u) = -u**2 + 30*u. Let a(s) = -5*s. Let f(z) = 6*a(z) + m(z). Calculate t(f(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -9*d + 15. Let l(g) = -5*g + 8. Give 3*f(c) - 5*l(c).\nAnswer: -2*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12463 and 1339?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + x - 9 - x. Let p be (-1 - 12\/(-18)) + 208\/12. Let r be j(p). What is the highest common factor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-64)\/78 + (-8)\/(-12). Let t = -7 - -5. What is the second biggest value in 5, v, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11555376 and 2352.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 1 + 6*r**2 + 7*r**2 + 93*r**3 + 83*r**3 - 157*r**3 to the form a*r**3 + q + i*r + o*r**2 and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 5*y - 11. Calculate k(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 9:27 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**7\/15120 - j**6\/864 + j**5\/120 - 2*j**4\/3 - 13*j**2. Let s(y) be the second derivative of m(y). Solve s(c) = 0 for c.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0515 + 0.0515. Let m = 19\/8 - 21\/8. Which is the second biggest value? (a) 4 (b) m (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5278*c + 2644*c + 49 + 2643*c)*(-3 + 3 - 8) - 3*c - 3*c + 5*c.\nAnswer: -73*c - 392","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4) - 38280\/(-240). Sort 4, 5, w.\nAnswer: 4, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 + 17*a**2 - 17*a - 158. Is y(-7) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 5*k - 4, -2*p + k = 15 + 15. Let n = p + 17. Suppose -5*m + 5 = 0, 4*m - 4 + 3 = n*u. Calculate the smallest common multiple of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5316 and 361682034.\nAnswer: 2658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29974685?\nAnswer: 5, 13, 19, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-6))\/(8\/48). Suppose -4*v = -0*v - l. Let d be (18\/15 + -2)*-5. Solve -u + 20 = v*u + m, -2*u + d*m = 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**4\/(q\/(q**(-2)*q)))\/(q\/q**(1\/2))**(-2\/59))\/(((q**(2\/5)*q)\/q)\/q**(-3)*q\/q**4*q*q**0\/q*q) assuming q is positive.\nAnswer: q**(182\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 - 1) + 9632\/(-4480))*-5?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 4550 = -3*l + 3*t + 4545, 13*l - t + 51 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 64, 277, 632, 1129, 1768?\n\"Answer: 71*m**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*h - 138, -116 = -3*h + n + 3*n. Suppose -h*t = -30*t - 36. Suppose -4*u + 54 = 3*v - t*v, -3*v = 4*u - 66. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + u**2 - 8*u. Suppose 2*h + 4*h - 36 = 0. Let x(p) = -p**3 + 8*p. Let j(t) = h*x(t) + 5*i(t). Give j(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 148 + -148.3. What is the third biggest value in -4, -63, u?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-45)\/(-12))\/15.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/7 + 23570*g**2\/7 - 47144*g\/7.\nAnswer: g*(g - 2)*(g + 23572)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, r: 3, h: 5}. Give prob of picking 2 h.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (415 + 34606*k + k**2 - 34603*k - 3*k**2)*(-2*k**2 + 5*k**2 - k**2) to the form g*k**2 + o*k**3 + i + h*k + b*k**4 and give g.\nAnswer: 830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 9) in base 4?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1024101 + 314?\nAnswer: -1023232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*m = -198. Let i = -9\/74 - 7151\/222. Let b = m + i. What is the smallest value in -12\/5, b, 0?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 2*w**3 - 7 + 9*w**2 + 1 - 1 + 3*w**3. Let t be j(-9). Solve -2*y = -6, -t*q + 5*y - 15 = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((-18 - 2) + -1 + 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (1 - 10 - 5) - -5 - -43\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y. Let m(x) = 10*x. Let u(s) = 12*f(s) - m(s). Let d(t) be the third derivative of -1\/20*t**5 + 0*t**4 + 2*t**2 + 0*t + 0*t**3 + 0. Give u(d(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 22.11. Let b = 27.467 - 27.576896. Let v = g + b. What is v rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -15*m**2 - 4*m + 9. Let d(b) = -16*b**2 - 5*b + 9. Let y(o) = 4*d(o) - 5*f(o). Find the first derivative of y(g) wrt g.\nAnswer: 22*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 - 81. Which is the fourth smallest value? (a) 0.1 (b) 0.3 (c) 0.2 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 175 - 348. Let r = -176 - g. Put -0.2, r, 60 in decreasing order.\nAnswer: 60, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*p - 79*p + 1848 = 0. Calculate the lowest common multiple of 33 and p.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 112 = 1950. What are the prime factors of f?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29021 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57924, -57922, -57918, -57912, -57904, -57894, -57882?\nAnswer: -57868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 plus -1495?\nAnswer: -1508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -29996 divided by -6?\nAnswer: 14998\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 47 + -844aab8?\nAnswer: -844aa71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iio when three letters picked without replacement from {x: 1, o: 2, j: 8, i: 2}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -945 at least -1718.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*t = 2*t + 67715. Suppose -5*y - 4*r = -3889, -y - 2*y = 4*r - t. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 513498116 and 386.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16942 is divided by 76.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2583*m**2 + 6*m + 6. What is the hundreds digit of i(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5451*q**4 + 64247*q**3 + 448374707 wrt q?\nAnswer: -21804*q**3 + 192741*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556288669.\nAnswer: 19, 149, 196499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*h - 113 + 58 = -55 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**3 + 136260*l**2 - 408745*l + 272490 = 0.\nAnswer: 1, 2, 27249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7*k = -2*c - 73, 0 = -5*c + 3*k - 154. List the prime factors of c\/(-1 + 0 - 0).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 66*z - 19132. Determine g(248).\nAnswer: -2764","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3, 210, 769, 1854, 3639, 6298?\n\"Answer: 29*v**3 + 2*v**2 - 2*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from {k: 3, a: 4, x: 6, y: 1, n: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47.5? (a) 2\/7 (b) 0.0874 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 121829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1152)\/96*(-2)\/(12\/(-3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 713\/7 - 102. Let x(u) = -u - 5. Let p be x(-9). Suppose -p*z = -c - 0*c - 17, -4*z + 18 = -2*c. Which is bigger: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -28*y + 24*y - 45, y = 18*y for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.59 + 2.09. What is the nearest to -0.9 in -2, s, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and (-1959)\/(-5) + ((-6)\/(-255))\/(34\/289).\nAnswer: 5096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 16 = -3*l - 2*l, -4*m - 4*l = -32. Suppose 2 = 4*y - 2*y + c, -5*y + c + m = 0. Calculate the smallest common multiple of 22 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d + 4*d - 2*d)*(-4*d + 5*d - 2*d) - 2*d**2 - 2*d + 2*d - 30*d + 30*d - d**2 - 9 to o*d + r*d**2 + a and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.148 - -130.852. Let a = x + -131. What is the closest to a in -5, 3, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*i + 2*r - 4446 = 0, 3*i - 2*r - 6659 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**14)\/((m\/(m\/(m\/m**(-2\/3))))\/m) assuming m is positive.\nAnswer: m**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -177, 47, -3\/8, -2\/7, 5?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 236240 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15933 - -23487. Let i = c - 2849. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from {x: 2, o: 2, l: 1, e: 7}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 26*o**5\/15 - 32*o**4 + 274*o**3\/9 + 14*o**2 - 1033. Suppose t(k) = 0. Calculate k.\nAnswer: -3\/13, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**5 + 14364*f**4 - 1828995*f**3 - 5616342*f**2 = 0.\nAnswer: -3, 0, 134, 4657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 2\/13*f**3 + 486\/13*f - 72\/13*f**2 = 0. Calculate f.\nAnswer: 0, 9, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231028533 divided by -420817\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from yxxyhxxyhyyyfxzfyy?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -614996*s**3 + 307501*s**3 + 307497*s**3 - 74*s**2.\nAnswer: 2*s**3 - 74*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 3 = 4*h + 3*x, 0 = 4*h + x + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 5)*31\/31.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 1405452?\nAnswer: 4216356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1168*h = 579*h + 1001*h + 42436 for h.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.52672ml to litres.\nAnswer: 0.01852672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12828 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -838.552 rounded to 0 decimal places?\nAnswer: -839","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-9) + 8\/(-6). Suppose -3*x - 15 = 5*a - 4*x, -31 = 4*a + 3*x. Put a, w, -17, -3 in descending order.\nAnswer: w, -3, a, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(6)*4)\/(sqrt(6) + -4*-3*sqrt(6)).\nAnswer: 4*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 553801191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 534 - 966. Let h be 190\/(-4)*b\/270. Which is smaller: 74 or h?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -239913, -239920, -239939, -239976, -240037?\n\"Answer: -b**3 - 239912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.102.\nAnswer: 0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 102 - 782 = 0. Calculate the greatest common factor of 17 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*w**3 - 9\/4*w + 0*w**2 - 3\/2.\nAnswer: 3*(w - 2)*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-18) - (81200\/2871)\/(-35)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*o - 4145, n = 5*o - 6595 - 302. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-32)\/(-20))\/((-18)\/(-45)). Suppose y = -4*f + 3630, -6*f + s*y = -2*f - 3620. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 5. Let o = r - 4. Which is the nearest to -0.1? (a) -4 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (12 - (9 - 5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1055*h**3 + 3*h**2 + 1053*h**3 + 29 - 3*h + 4*h - 3*h to the form n*h**3 + z + b*h**2 + s*h and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 862 + -861.71. Let f = 557.71 + -553. Let q = j + f. Sort -3, 0.5, q in descending order.\nAnswer: q, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8249253?\nAnswer: 3, 29, 94819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-one sixths of a hour?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 6*k - 147. Let r be l(8). Which is smaller: 89 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/6 + 2*6\/(-18) and -95\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2. Let f(o) = -1149*o**2 + 18*o - 9. Let s(y) = -574*y**2 + 10*y - 5. Let z(l) = -5*f(l) + 9*s(l). Determine z(u(r)).\nAnswer: 579*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 20 + 112. Suppose -5*h - 4*z = 0, h + u = 3*h - 5*z. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20526882, -41053717, -61580552, -82107387?\n\"Answer: -20526835*p - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -142 (base 9) to base 6\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 58*y**2. Let w(z) = -156*z + 300. What is w(h(o))?\nAnswer: -9048*o**2 + 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22301 is divided by 10884?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 414 - 5?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpepqqecceqqqpq. What is prob of sequence eq?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 1 - (7 - 6). Let h(u) = u**3 + u**2 - u + 4. Let s be h(r). Solve s*k + 1 = 17 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-182)\/84 - (-2)\/12. Which is the nearest to 1? (a) m (b) 6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -13*z + 9. Suppose -z*d + 2 = -d. Let y be (-2)\/5 + (-44)\/(-10). Which is the closest to 1? (a) d (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 13*s**2 + 352*s + 4164. Determine m(-20).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-7)*(-154)\/14.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 7 + (-2374 - -2342)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 19 = -u. Find q, given that -16*q**2 - 3*q - u*q**2 + 38*q**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 257320 + -12094484\/47. Which is smaller: -8 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(1900) + 3 + 1 + 2 + (sqrt(1900) + sqrt(1900) + 3*sqrt(1900))*6))**2.\nAnswer: 133920*sqrt(19) + 65733696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-22*l**2 - 13*l**2 + 19*l**2 + (l - 2*l + 0*l)*(-2 - l + 2) - 2*l**2 + 0*l + 0*l + 3*l**2 - 6*l**2 + 2*l**2).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 11 = 5. Let x = -108 - -112. What is the highest common divisor of y and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 d when two letters picked without replacement from dhdtg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4367 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**2\/3 - 670480*d\/3 + 446984 = 0.\nAnswer: 2, 335238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4829 = 2*c - 3*g, 3*c - 7243 = -4*g. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 - 17*j + 10. Let d be z(4). What is the greatest common factor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1140 + -1122. Is 0.418 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -196 + 199. Sort f, 1, 2, -2 in ascending order.\nAnswer: -2, 1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 446655 and 1.\nAnswer: 446656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -166508*s. Let y(l) = -2*l**2. Determine y(z(d)).\nAnswer: -55449828128*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6522 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m*z**2 + m*z + 639*z**2 - 310*z - 4 wrt z.\nAnswer: 6*m + 1278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14716549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -125 + 136 + (-1 - -3 - 84) - -15\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/((-7)\/28*(-629)\/(-111))?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -29. Let u(c) = -c**2 + 6*c + 1 - n + 2. Determine u(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 4.9. Let i = d - -1.1. Which is the smallest value? (a) i (b) 0.5 (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 21*b - 1. Let p(u) = -3*u**3 - 277*u**2 + 84*u + 1373. Let a(j) = p(j) + 4*q(j). What is the first derivative of a(i) wrt i?\nAnswer: -9*i**2 - 546*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -17 + 4 + 0 + -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/18)\/(-4))\/((-19)\/(2565\/36)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 4*i - 1. Let b be a(-3). Let r be 0\/1 + -3 + 6. Do b and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 + 2*w + 1. Let u(x) = -417*x**4 - 4*x**2 + 23*x + 1. Let f(c) = -2*k(c) + u(c). What is the second derivative of f(d) wrt d?\nAnswer: -5004*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 317 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -114*g**2*h**2 - g**2*h*s + g**2 + g*h**2*s + 36*s wrt s?\nAnswer: -g**2*h + g*h**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 15915.816 months?\nAnswer: 132.6318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 + 3*q - 3. Let j(z) = 7*z + 0 + 5*z**2 - 3 - 4. Let h be (-506)\/(-6) + (-3)\/9. Let g be (-9)\/(-6)*h\/9. What is g*w(d) - 6*j(d)?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -254 + 280. What is the remainder when 57 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 195990000 to the nearest 1000000.\nAnswer: 196000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 15. Let d(l) = -1. Let q(i) = -5*i + 1. Let b(c) = -2*d(c) - q(c). Let p(g) = -24*g - 4. Give u*b(s) + 3*p(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 7*g - 33 = 0. Let r = g - -9. List the prime factors of (2\/r)\/(1\/(-25)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/4))**(-17\/5))**(6\/25)\/(n*n*n**(-4)*n**3*n*(n**0*n)**4) assuming n is positive.\nAnswer: n**(-1449\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 3:04 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*h + 271 + 34 = -4727 for h.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 + 144*j**3 - 7050*j**2 + 123704*j - 311469.\nAnswer: -(j - 47)**3*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -40*d**7\/21 - 4*d**6\/3 + 23*d**5\/4 + 5*d**4\/2 - 15*d**3\/2 + d. Factor v(a).\nAnswer: -5*a*(a + 1)**2*(4*a - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693 is divided by 236?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -27. Suppose -6*m + 15 = -m. Solve 0*l = m*p + 3*l + q, 3*p - 5*l - 31 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1831934.\nAnswer: 2, 13, 70459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/(m**6\/m))*m**7)\/(m\/(((m**(2\/5)*m*m)\/m*m)\/m)*m**(2\/3)) assuming m is positive.\nAnswer: m**(161\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*v + 5 - 4 + 7 + 11*v**2 - 9.\nAnswer: 11*v**2 + 94*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 593555615 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 130*o - 106?\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 20*f**2 + 59*f - 11. List the prime factors of d(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**3\/19 - 1880*m**2\/19 + 441362*m\/19 - 875220\/19 = 0?\nAnswer: 2, 435, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*z, -3*z = 2*j - z - 14. Suppose -4*t = -s - 20, -3*s = j*t + t - 20. What is the second derivative of s*o + 0*o**5 + 0*o + o - o**5 wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 2*i = 78, -17*i - 5 = -12*i. Let z(b) = b**3 + 11*b**2 + 16*b - 9. What is z(w)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + x - 4. Let u be v(-7). Suppose 3*d = u + 178. Let m = 6 - -3. What is the highest common divisor of m and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341184889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6))**(-1\/22)*(k**(-12)*k)**(1\/2) assuming k is positive.\nAnswer: k**(-115\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 99*r**5\/20 - 25*r**3\/6 + 305*r**2. Differentiate p(d) with respect to d.\nAnswer: 594*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -8*c**3\/3 + c**2\/2 - 64. What is l(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 783506444 to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1348\/7 + -10833\/56. Calculate the common denominator of -11\/579 and d.\nAnswer: 4632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -10. Suppose a*y = 2 + 6. Suppose 8 = -l + 2*o, y*l + 1 = -2*o + 3*o. Solve 2*g - 19 = -7*z + l*z, -g = 4*z - 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (654\/(-4))\/(3 + (-810)\/264). Let g = r - 1229. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 17, -1\/4, 3\/10, 11, -2\/3, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*k - 5, 4*m - 11 = -5*k - 73. Which is smaller: -9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -12) + 3 + -19.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**2\/5 - 119*p\/5 - 784\/5 = 0.\nAnswer: -112, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**5\/13 - 170*c**4\/13 - 5030*c**3\/13 - 57510*c**2\/13 - 174960*c\/13 - 157464\/13 = 0?\nAnswer: -27, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*i + 96*i = 133*i - 24*i - 432 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 18 = p. Let y(j) = -j**3 - 10*j**2 - 13*j - 4. What are the prime factors of y(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12242504?\nAnswer: 2, 1530313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 4:32 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13766 is divided by 104.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 + 44. Calculate the remainder when 54 is divided by (-11 + s)*14\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10902872 to the power of 1\/2, to the nearest integer?\nAnswer: 3302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*g = -361*g + 6*y - 2, 3 - 1 = -2*y for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.901122 to 2 dps.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1186\/30 - (28 + -29). Let t = -121\/3 + j. What is the nearest to 1\/3 in t, -21, 1, 2\/15?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 10*i - 1. Let z be p(-10). Does 6 divide (-2)\/(-4)*z*-198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 96*f + 324.\nAnswer: -4*(f - 3)*(f + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 g when four letters picked without replacement from glgllnlngln?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 61*a**3 + 5*a**2 + 3*a + 3. Let r(b) = 306*b**3 + 26*b**2 + 16*b + 16. Determine -16*j(z) + 3*r(z).\nAnswer: -58*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-12)*(-3)\/(-27)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2782 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7744 and 2876654?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -72 at most -80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26878 is divided by 26857?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 3, 4*r + 5*s - 160 = 9*s. Calculate the highest common factor of 1833 and r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 u when three letters picked without replacement from {u: 4, z: 1, v: 8, o: 2}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -491689*k - 7 - 4 + 11.\nAnswer: -491689*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*t - 332 - 126 = 118 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*q = 148, -2*i - 131 = -3*q + 17. Let k be (11 + (-165)\/9)\/((24\/63)\/4). Let f = i - k. Solve 0 = 3*x + 2*y + f*y - 20, -5*y = 4*x - 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d - 1023 + 1191 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + -2 + 3 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266076143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a millennium in decades?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 26, -1, 36.\nAnswer: -1, 10, 26, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 551 + -550. Suppose -4*k = -5*s - 85, -s = -1 + 6. Let w be (2\/k)\/(2\/3). Which is the biggest value? (a) 4 (b) w (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199.341806 rounded to two dps?\nAnswer: 199.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -107283*l**3 - 43989.\nAnswer: -321849*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24\/(-4) - (-346 + 0) is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5 = -5*w, 2*t + 1 = w + 3. Let j = 100 - 699\/7. Is w <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 53470?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 4*d + 3. Suppose 9 = -3*b + 72. Let n = b - 25. Let k be x(n). Is k greater than -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -13. Let f(h) = -9 + d - h - 5. Let l(x) = -3*x**3 - x**2 + x - 1. Let i be l(1). Determine f(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -13)*(4 + -44). What is the highest common divisor of h and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1001 and -113\/1144.\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1. Let b(p) be the second derivative of -p**3\/6 - 3*p**2 + p. Let f(m) = -b(m) + 4*z(m). What is f(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 - -27. Let f = 47 + g. Solve m = -3*m + f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**4 + 0*g + 0*g - 2*g**4 - 5*g**4 - g**4 + (-g**2 + 2*g**2 - 3*g**2)*(-1 + g**2 + 1) as x*g**3 + o*g**2 + h + r*g + w*g**4 and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*t + 2441, -2*i - 489*t + 4876 = -485*t. What are the prime factors of i?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uujuuquuuuuuu. Give prob of picking 1 j and 2 u.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2303?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/124 and -46\/527?\nAnswer: 2108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffffffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 44, 38, 34, 32, 32?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/3635 (b) 1\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 158387*u**3 - 6*u + 3267?\nAnswer: 950322*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3 = l, -2*h + 2 = -2*l - 0*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 115?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1009404188 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13076 (base 11) to base 16\nAnswer: -491d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 63\/12 + 3\/(-12). Suppose 21 = -l*j + 1. Let f(o) = -2*o**2 - 2*o - 3. Let x(q) = 3*q**2 + 3*q + 4. Calculate j*x(v) - 5*f(v).\nAnswer: -2*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 = 2*d - 0, 2*d - 5*g = -5. Let t(w) = -w + 22. Let n be t(25). Put d, -5, n, 1 in increasing order.\nAnswer: -5, n, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1311032 - -1?\nAnswer: -1311031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -2*z + 13. Let a = z + 10. Let t(o) = 8*o**2 + 5*o - 6. Is t(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457911 is divided by 1916?\nAnswer: 1903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8184299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, m: 2, d: 1, i: 3, t: 3}. Give prob of picking 1 i, 1 t, and 1 p.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 2:33 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6041221946 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 0) + 2 + 37. Suppose 8 = -4*z + h. Calculate the greatest common divisor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-1)*(-200)\/3. Suppose d = m - 3*m. Let k be (-2899 + -1)*1*m. What is k rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19*(-15)\/(-1710) + 13\/6\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -52. Let s = -56 - d. Which is the second smallest value? (a) -2 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572*r - 652*r + 19215 = 835*r for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r**2. Let x(o) = o - 963. What is p(x(z))?\nAnswer: -6*z**2 + 11556*z - 5564214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.22233 - -0.04233. Which is the second smallest value? (a) i (b) -0.3 (c) -6 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-42 - (52 + -94))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*l - 0. Find the first derivative of 15*n**2 + 26*n**l + 63*n**2 - 5*n**2 + 95 wrt n.\nAnswer: 198*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1643656 + -242?\nAnswer: -1644231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -258*h**3*v + 163*h**3 - 2*h - v**4 wrt v?\nAnswer: -258*h**3 - 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**9\/21 + g**5\/60 - 67*g**4\/24 + 552*g**2. Find the third derivative of q(l) wrt l.\nAnswer: 2880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 536946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 16*m + 7. Suppose -4*b - 2*h + 62 = 0, 2*b = 5*h - 0 + 37. What are the prime factors of c(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*((-68)\/24 + (-3)\/(-9)). Suppose 2*q + 0*q + b - 115 = 0, b = k. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**3\/3 - 3*o + 3. Let p(w) = -32*w**2 - 7. Let j(n) = -11*n**2 - 2. Let a(h) = 7*j(h) - 2*p(h). Calculate m(a(v)).\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9, -38, -87, -156?\n\"Answer: -10*b**2 + b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172727 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**3\/6 + i**2 + i. Let y be x(0). Suppose -o + 2*o - 23 = -y*g, 5*g - 3*o - 41 = 0. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-59475)\/(-107055)*306\/5\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a day in seconds?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 660 and 24870.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-1))\/(70\/(-105)))\/(3\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2984)\/(-4103) - (-30)\/(-132).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*h + u - 81, -3*u = 0. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k**3 - 5*k**2 + 1. Let o be n(-2). Let r be 2\/8 + (364\/144)\/o. Sort 2\/9, 5\/2, r, 4 in descending order.\nAnswer: 4, 5\/2, r, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5005.08915 rounded to 1 dp?\nAnswer: -5005.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(288) - sqrt(18))\/(1*sqrt(6)*6)*-5 + (-3*(-1 + sqrt(108) + sqrt(108)) - sqrt(21)\/(sqrt(7) - (sqrt(7) - sqrt(112)*1))))**2.\nAnswer: -385*sqrt(3)\/2 + 148657\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -2*v**7\/105 + 79*v**6\/30 + 7*v**5\/15 - 559*v**4\/6 + 316*v**3 - 185*v**2 + 15*v. Let l(h) = 0. What is h?\nAnswer: -3, 1, 2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/10)\/(-4 + 21\/5). Which is bigger: -33 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h - 9. Let c be z(-6). Suppose 8*n - d + 3494 = 14*n, c*n - 3*d - 1761 = 0. What are the prime factors of n?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49697 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5 + 45 = 4*o, 0 = -o - 5*m. Let i = 9 + -5. Suppose -1 = -i*p + 15. Solve -o = -u + p*u - f, 0 = 4*u - f + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*1\/8)\/((-44)\/(-32))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668237.\nAnswer: 211, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 10. Suppose 20 = 5*o, -5*b + 2*o + 3*o - 20 = w. Suppose g + b*g = 9. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3004064 greater than -3004062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -12*q + 6*q + 4*g, -5*q - 48 = -2*g for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9541.08 - 3?\nAnswer: -9544.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-472)\/(-177) - (-21)\/(-9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 222 + -222. Let r(z) = -z**3 + 2*z - 1. Let k be r(-2). Suppose b = k*w + 3*w - 42. Which is smaller: 5 or w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 3399 (c) 4 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 - 5*d - 26*d**3 - 3*d**3 - 2 - 11*d**3 + 39*d**3. Let o(m) = -3*m**3 + 5*m**2 - 11*m - 5. Give -10*i(s) + 4*o(s).\nAnswer: -2*s**3 + 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33670.3 rounded to the nearest 100?\nAnswer: 33700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**5\/2 + 33*c**4\/2 - 507*c**3\/2 - 7917*c**2\/2 - 14220*c - 14850 = 0.\nAnswer: -11, -10, -3, -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*sqrt(99))**2 + -1 + (sqrt(99) + -1*sqrt(99))**2*2).\nAnswer: -790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(0 + 116\/(-6)). Let n be ((-15)\/30)\/((-1)\/(-38)). Let u = n - b. What is the greatest common factor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6452095 - -12291324. Let k = s + -18743415.1000046. Let b = k - 3.9. Round b to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -9. Let q be 2\/1 - (0 + b). Calculate the greatest common factor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115059 divided by -5479\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 28529647, 57059299, 85588951, 114118603?\n\"Answer: 28529652*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32492 divided by -8123.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**3*q*q\/q**(-2\/5))\/(q**(-2\/7))**(9\/4))\/(q\/q**(-1\/4)*q\/(q**(-2\/11)\/q)*(q\/(q*q**(-4)*q))\/(q**(-1\/4)*q)) assuming q is positive.\nAnswer: q**(139\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrwr. Give prob of sequence rr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1318?\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -84a (base 14) to base 8.\nAnswer: -3142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-304)\/95)\/(((-48)\/90)\/2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-18)\/(-5)*(-6 + 20 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28588390.64 - -17.\nAnswer: 28588407.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-a**2 - a**2 + 3*a**2)*(-3 + a + 3).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 627583369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 143732*x + 144064*x)*(-4*x + x + 2*x).\nAnswer: -332*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8)**(12\/11) assuming t is positive.\nAnswer: t**(96\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -8, -16\/13, -2\/13, 4\/9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 + -32. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 325987161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, o: 1, c: 1, z: 1, u: 1}. Give prob of picking 1 z and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 53258500 rounded to the nearest 100000?\nAnswer: 53300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(114))\/(2*sqrt(726)).\nAnswer: -2*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*-12*84\/(-288). Let b(h) = -13*h - 62. Give b(f).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d - 7*d - 6*d + (0*d - d + 3*d)*(-10 + 1 - 2).\nAnswer: -31*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 124073153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 5 - (-263)\/87. Is d <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-56 - 4) + 33\/11. Sort 5, a, -22, 2 in decreasing order.\nAnswer: 5, 2, -22, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 680*u**2 + 634*u**2 - 1769*u**2 + 12 + 638*u**2 to z + s*u**2 + k*u and give s.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oiikzozioziizikmiko. Give prob of picking 2 z and 2 k.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18780 - -18814. Calculate the remainder when 1013 is divided by c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h - 9. Let r be d(-6). Let y = r + 30. Let b = y - 4. Calculate the lowest common multiple of b and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31335 is divided by 10435.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 41678*n**3 - 4*n**2 + 8*n + 5. Let x be l(6). Let q = 9606507 + -5704150. Let k = q - x. Round k to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 175260\/108077*74\/(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2. Suppose -2*k + 1 + 9 = 0. Let b(i) = 5*i - 4. Let g(p) = -122*p + 367*p - 122*p - 5 - 117*p. Let u(w) = k*b(w) - 4*g(w). Determine u(n(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -17 + (-17 + 66 - 100)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xka when three letters picked without replacement from {k: 2, j: 2, x: 1, a: 1, l: 1, b: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7569 - -13071. Suppose -j - k = -7*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, f: 1, y: 1, p: 1, x: 2, d: 1}. Give prob of sequence pxyd.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15761 + 1102. Does 73 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 96 = -y. Suppose -o = y*o - 133. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -628831000 to the nearest one million.\nAnswer: -629000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12390 - -12390.4. Let u(o) = 3*o. Let q be u(2). Let k be (-2)\/(-7) - q\/21. Put k, s, 2, 2\/3 in decreasing order.\nAnswer: 2, 2\/3, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -325\/3 - -109. Let t = 302 + -309. Which is the closest to q? (a) t (b) 0 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -165*b**3 + 4*b**2 + 6*b - 442. Let q(r) = -164*r**3 + 7*r**2 + 9*r - 442. Let w(x) = -2*q(x) + 3*y(x). What is the first derivative of w(a) wrt a?\nAnswer: -501*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -589, -1177, -1765?\nAnswer: -2353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 136\/961?\nAnswer: 136\/961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.021174423 to 4 decimal places.\nAnswer: -0.0212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1306257 is divided by 1062.\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22908631*z + 11453621*z + 11455014*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*a + 4. Let k be (-1)\/(-1)*a - -3. Suppose -7*x = -k*x - 66. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 198 = 2*c + 3*c, 4*w = 3*c - 110. Suppose 3*m - c - 3 = 0. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208537.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-1017.7\nAnswer: 407.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 190945 a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 47 + 35 = -z, -3*i + 47 = -4*z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 4*v - 252. Let c be 301\/v - 2\/(-9). Let f be (-4)\/10 + 102\/30. Solve -2*h - 25 = c*m, 3*m + 27 = -f*h + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 2*c - 10 = 0, 3*y + c - 1 = 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 40238 = 5154. Suppose 0*o = 4*o - 8. Suppose h - 977 = o*k. Round k to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714458 to the power of 1\/2, to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8602 = -5*p - x - 8619, 733*x = -3*p + 2187 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -65482 (base 13) to base 16\nAnswer: -2cb5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o - 2*j = -33*o + 24, 12 = 2*o - 2*j for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1076410560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 55 - -5a886?\nAnswer: 5a90b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34.8 + 34.9. Is -128 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 53.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(70\/(-1))*2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-116 - -111) + (-7210084)\/(-24) + (-1)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -2)*(9 - 11). Factor 10*y**2 + 35*y - 35*y**3 - 10 + 0*y + 0*y**a.\nAnswer: -5*(y - 1)*(y + 1)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 5*v = -3*v + 28, -153*v - 149*v = -313*v - 44 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 499 divided by 6?\nAnswer: 499\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 14) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*c + 74072 = 73162 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 + 181. Suppose 5*m - n - v = 4*n, m - 4*n - 41 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*((-7 - -4) + 7). Let j = 10 + k. Solve 0*l = -4*l - 2*f - 22, 4*f + 26 = -j*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 203\nAnswer: -4\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*m - 139*m - w + 22 = 0, 2*m + m - 35 = -2*w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**6\/36 - b**5\/30 + b**4\/12 - 2*b**3\/3 + 1. Let l(t) be the third derivative of d(t). Is l(2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -637*n**2. Let d(w) = -1802*w**2 + 1 - 1809*w**2 - 1 + 3609*w**2. Calculate d(g(c)).\nAnswer: -811538*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-4 - -1)*8\/412. Let s = u + 111\/412. Let n = -0.2 + 0.1. Which is the third smallest value? (a) n (b) 0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/18*1*-1. Let q = -11 - -16. Let b = -1.1 + 0.7. What is the closest to -2\/7 in q, b, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 9:18 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_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: Work out -161956 * -0.169.\nAnswer: 27370.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 661 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 3*n - 3*n)*(19 + 9*n - 19).\nAnswer: -18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7.784 and -174135.\nAnswer: -174127.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1998 - -18046\/9. Let w = 94\/9 - s. Suppose -6*v**4 - w*v**5 - 8\/15*v**2 + 0*v - 16\/5*v**3 + 0 = 0. Calculate v.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.267 - 0.267. Which is the nearest to 1? (a) 0.1 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 224\/(-8)*(15\/10 + -2). List the prime factors of 2\/(-3) - (-276)\/18*f.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**5\/9 - 58*u**4\/9 + 164*u**3\/9 + 424*u**2 + 720*u = 0.\nAnswer: -5, -2, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -951482710839 + 1.2.\nAnswer: -951482710837.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -37, 0, 0.2 in decreasing order.\nAnswer: 33, 0.2, 0, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a = -0 + 52 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k - 3. Let v be j(-1). Which is the closest to 2? (a) -5 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*s - p, -5*s - 93*p = -98*p + 10. Let o = 0 - -0.3. What is the fourth biggest value in o, s, 0.1, 13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6512 + 10220. What are the prime factors of l?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/10*(-310)\/403*-91.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*m - 20, 4*m + v + 6 - 16 = 0. Let s(f) = f**2 + 14*f - 214. Let q be s(10). Suppose -9*i = -55 - q. Solve o + m*o = -i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/5 (b) 6\/7 (c) -0.04 (d) -15\/2 (e) 6 (f) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 0*o**4 - 1\/1980*o**6 + 1\/660*o**5 + 0*o**2 + 4 - o**3 + 0*o. Let c(k) be the third derivative of j(k). Factor c(p).\nAnswer: -2*p*(p - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27333 - 27332. Sort j, 5, 4, 0.3, 31\/6.\nAnswer: 0.3, j, 4, 5, 31\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - v + 7 - 27, 2*s - 5*v = -5. What is the remainder when 3\/(s\/(-2)) - 652\/(-20) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*b = -26, 0 = -3*x + 8*x - b - 23. Let i = -31 - -76. Solve -20 = x*h, -2*m - i = -7*m + 5*h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11\/2482 + -256250\/3723. Let x be (264\/(-15)*1)\/(78\/325). Let w = x - d. Which is smaller: -4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*f**3 - 10*f**3 + 9*f**3 + (3*f**2 - 5*f + 5*f)*(-6*f + 2*f - 5*f).\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 3:37 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 0 - 1\/24*p**4 - 2*p**2 + 0*p + 0*p**3. Determine c(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1690 = 63*x - 64*x - 3*b, -3381 = -2*x - 5*b. Is 102 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 143 + -85. What is the first derivative of 65*o**2 + 8 - x*o**2 - 34*o**2 + 5 wrt o?\nAnswer: -54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a6 (base 16) to base 8\nAnswer: -246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1109 - -1109. Let o = 379\/15 - 77\/3. Is q >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtm when three letters picked without replacement from txmnmnnmmxxtnmx?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172218 is divided by 1196?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 97270 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: Convert -9a06352 (base 11) to base 5.\nAnswer: -13444003330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1771252 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)*k**(-1\/8)*k*(k\/k**(2\/3))**27)\/((k**5\/k**2)\/(k\/(k*k**(1\/11))*(k\/k**(-3\/5))\/k)) assuming k is positive.\nAnswer: k**(2809\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63116 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*c - 17*c - 12*c)*(2 + 2 - 5)*(4 - 5 + 5)*(-6*c + 2*c + 3*c).\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-2\/13))**(-5\/3)*a*a**(-17)*a**6 assuming a is positive.\nAnswer: a**(-155\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 499700 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j. Let g(h) = 4*h**2 - 3. What is p(g(k))?\nAnswer: -12*k**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 397 + -402.01. Let i = b - -0.01. Put -10, -6\/5, 2\/13, i in descending order.\nAnswer: 2\/13, -6\/5, i, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -669*n - 112*n + 291*n - 928*n.\nAnswer: -1418*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 < -156462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3768 - 5505. Let f = -619 - j. Is f a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 67? (a) 4\/3 (b) 0.3 (c) 6\/673 (d) 2\/19 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(21\/8)*d*d*d*(d*d**(-20)*d*d)\/d)**(-3) assuming d is positive.\nAnswer: d**(273\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 41. Suppose j*y + 0*y = 2. Find the common denominator of -6\/5 and (-2 + 685\/(-10))\/(3*y).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/15)\/(-11)*9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**4*j - g**4 - 1004*g**3*j + 1226*g - 2*j wrt g?\nAnswer: 12*g**2*j - 12*g**2 - 6024*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 14) to base 3.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2879*y + 189 = -2858*y. Let m(p) = -p**3 + 6*p**2 + 2*p + 1. Let z be m(5). What is the highest common factor of z and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**45)\/h**(2\/33))**(3\/28) assuming h is positive.\nAnswer: h**(-727\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -255.51229 - 295.\nAnswer: -550.51229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -276915480*j - 45714302 wrt j?\nAnswer: -276915480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/3 - 16608*c - 149418.\nAnswer: -2*(c + 9)*(c + 24903)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 519*f - 73*f**4 + f**3 + 691*f - 2*f**3 + 45*f wrt f.\nAnswer: -876*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1052 to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 3*j**2 + 16*j + 19. What is c(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 934?\nAnswer: 933.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b + 60. What is q(-22)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21.614 and 0.2.\nAnswer: 4.3228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 5 + 3\/2*x**2 - 4*x. What is the units digit of d(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6685700 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1057628941?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b - 1. Let a = 31 + -27. Determine d(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {p: 4, x: 7, b: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627351 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**6\/80 - m**5\/120 - 7*m**2\/2 + 13. Let i(g) be the second derivative of r(g). Find t such that i(t) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -305368, 6, 5, -7 in decreasing order.\nAnswer: 6, 5, -7, -305368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 - (-18)\/(-4). Let w be (-8 - s) + 15\/6. What is the smallest value in w, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 987566 and 15?\nAnswer: 987551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 4890?\nAnswer: 4893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 6. Let z be 8 + (0 - (-6)\/r). Let s = -2 + z. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -39*h + 41. What is the hundreds digit of w(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3912356 and 3724?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(18) + sqrt(18) + sqrt(162) + sqrt(18)) - sqrt(18))\/sqrt(9))**2*5.\nAnswer: 6250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -93074176 to the nearest 1000000.\nAnswer: -93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + u + 3. Let o(r) = -5*r**2 - 55*r - 46. Let x(m) = -o(m) + 4*s(m). What is h in x(h) = 0?\nAnswer: -58, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2231325 divided by -9.\nAnswer: -247925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*n**4 + 23*n**3 + 54*n**2.\nAnswer: -n**2*(n - 2)*(25*n + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 1145*n**2 + 5*n + 59. Let z(f) = -5725*f**2 - 25*f - 295. Let q(t) = 11*o(t) + 2*z(t). What is the second derivative of q(c) wrt c?\nAnswer: 2290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n + 83. Let f be x(22). Let g be f + (5 - (-1 - 2)). Sort 1, 2, g, 4.\nAnswer: 1, 2, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -151881*1*22\/(-66) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 5. Let t = 0.05 - -0.95. Which is the nearest to t? (a) w (b) -2\/7 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -883137665, -1766275330, -2649412995, -3532550660?\n\"Answer: -883137665*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -32, -3, 10, 2 in decreasing order.\nAnswer: 10, 3, 2, -3, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 64. Let x(n) = -63*n - 65. Let z(h) = p(h) + x(h). Let b(u) = -16*u**2. What is z(b(g))?\nAnswer: 1008*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/33 and -1 - (1345\/(-100) + (-1)\/(-4))?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkknkknnktkt. What is prob of sequence kkt?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, 4\/7, -3\/2, 0.2, -160, -1\/8?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47160 divided by 6?\nAnswer: 7860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 298 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -11. Is (-536)\/h + 10\/30 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -19*l**4\/4 + 29*l - 12. What is the first derivative of i(m) wrt m?\nAnswer: -57*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136*o**3 + 24*o wrt o.\nAnswer: -816*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dededddddddddgddd. What is prob of sequence eedg?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and 11.6?\nAnswer: -0.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(19)*1 + 1)**2 + 5) - (((sqrt(684)*2 - sqrt(684))*-1)**2 + -4).\nAnswer: -805 - 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 28. Let a be i\/((-6)\/4) + 113\/(-1). Let s = -44 - a. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h**3)\/h)**(-4\/13))**(7\/5))**(2\/109) assuming h is positive.\nAnswer: h**(-168\/7085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21680, 17727, 13790, 9875, 5988, 2135, -1678?\nAnswer: -5445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 times -92.2317?\nAnswer: -6456.219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25239 and 1269?\nAnswer: 227151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/3)\/(2\/78). Let k = -54 - q. List the prime factors of (-3)\/3 + (k - -132).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127 + 45 + 42 + 40 + 8976*j - 8971*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w + w)*(1 - 3 + 4)*(2 - 43 - 18)*(-2 + 1 + 3).\nAnswer: -236*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-5 - (-8 + 5)) - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.9 and 337.93.\nAnswer: 337.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-1*-4 - 4*(sqrt(99)*-1 - sqrt(99)))\/(sqrt(9)*1*-6*5))**2.\nAnswer: 44\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4074 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + 5*c + 6. What is h(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**3 - z**2 + 2*z - 4. Let n(q) = q**3 + 1. Suppose 0 = -4*x - 2*x + 282. Let k = x + -43. Determine k*n(d) + f(d).\nAnswer: d**3 - d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {f: 1, p: 4, n: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2051 divided by 630\nAnswer: 293\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 3*k + k + 135, 25 = 5*k. Let u = 32 - q. Solve -u = o - 5*t + 3*t, 4*o + 13 = 5*t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120343748?\nAnswer: 2, 7, 17, 252823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51805 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 (-493)\/136 - (-9)\/(-24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i - 4. Suppose -5*d + f + 6 = 0, -3*d - 2 = -f - f. Calculate the remainder when l(-3) is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17712 - -32a?\nAnswer: -17393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*6*(sqrt(612) + sqrt(612)*3))**2.\nAnswer: -33841152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146 - 1614 = 3*g - 77*g + 312 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2923112?\nAnswer: 2, 19, 19231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = -3*t + n, 3*n = -2*t - 12 - 92. Suppose 0*j - 5*j = -330. Let k = t + j. Calculate the least common multiple of k and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1596206468 to the power of 1\/3, to the nearest integer?\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 4*v + 8, 2*v - 11 = -k - 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -1. Let g be -2*(1 - (r - 1)). Let c = 9 - g. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733174 is divided by 34728.\nAnswer: 3886","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*s + 2478, 4*s - q - 2*q - 3293 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1825605 is divided by 129.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15392229 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: What is 551 divided by -3973?\nAnswer: -19\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/((-129)\/(-12) - 7)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/((-140)\/(-21))*-2 and 17\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c - 1. Let p(n) = 16*n - 12. Let u(h) = 12*k(h) - p(h). Let y(o) = -32*o**2. Give u(y(q)).\nAnswer: -1024*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 8:39 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2873)\/(-2380) + 6\/(-7). Let n(r) be the first derivative of -9\/8*r**4 + 0*r - 2 - 5\/3*r**3 - r**2 - c*r**5 - 1\/24*r**6. Factor n(t).\nAnswer: -t*(t + 1)*(t + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 + 31308*k + 4*k**3 - k**3 - 132*k**2 - 31449*k = 0. What is k?\nAnswer: -2, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5404959, 10809924, 16214889, 21619854, 27024819?\n\"Answer: 5404965*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 6) to base 3.\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 30. Let s = r - 26.8. Put -18, s, -0.5 in decreasing order.\nAnswer: s, -0.5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1178a9 + 0?\nAnswer: 1178a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3309 - -3487. Is 1\/13 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + -46 - ((-1 - -2) + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 3*f - 10 + (3 - 3 - 1)*(-2 + 2 + 2*f) - 7*f + 5 + 5 - 6 + (-6 + 21 - 5)*(3*f - 4*f + 2*f).\nAnswer: -2*f + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 12, s: 3}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1920950 and 768380?\nAnswer: 3841900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320633605?\nAnswer: 5, 64126721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 + 21*h**2 - 40*h**2.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 5. Let c(i) = -i**2 - 4*i + 1. Let w be c(-5). What is the remainder when 42 is divided by m(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 152383457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5*a, 0 = -2*o + 5*o - 2*a. Solve -2*z + 2 + o = -3*d, -5*z - 10 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 2:35 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 + 2 + -6 + -5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 5*n**4\/12 - 25*n**3\/3 + 125*n**2\/2 + 16*n + 1. Suppose m(j) = 0. Calculate j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/24)\/(3\/12))\/((-257)\/257)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 5*u + 1361 - 1396 = 0, 4*q + 2 = -u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**2\/2 - 18*a + 1038. What is u(11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 33*p - 8*p + 226, 4*p + 41 = -5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v - 200 + 200 + 13*v - 23*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**3 - 13335*l**2 - 4940061*l + 4953399 = 0 for l.\nAnswer: -4037, -409, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29947022 a multiple of 1499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 6*a = -2*a - 12, -5*a + 9 = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101201210 - 12?\nAnswer: 101201121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5 - 3*f - 3*f**2 + 0*f + 2*f + f**3 + 6. Let j(x) = -x**3 - 5*x**2 + x + 1. Let z be j(-5). Let k(i) = -i - 1. Let v be k(z). Calculate h(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 38 = -2*a. Suppose 216 + 232 = 2*f. What is the greatest common factor of f and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 651, 1301, 1951, 2601, 3251?\nAnswer: 3901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32556*p*v**6 - 179*p*v**5 - 20859*p*v - 181*v**2 wrt v?\nAnswer: 3906720*p*v**3 - 10740*p*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 15. Let g(q) = -q**2 - 17*q - 16. Let y be g(k). Let i = 3 + y. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 269*r - 299*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2556 (base 7) to base 13\nAnswer: -59a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -42485a?\nAnswer: -424862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 5*j - 14, -3*t + j + 2*j = 21. Let i be t\/(35\/2500)*14400. What is i rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-85)\/(-68))\/(-5))\/(76\/95).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*((z\/(z\/(z**4*z)*z)*z)\/z)\/z)\/(z*z\/z**(1\/3)))\/((z**(1\/7)*z)\/z**(7\/5)) assuming z is positive.\nAnswer: z**(272\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 11*n**3 - 12*n**2 - 3*n - 7. Let v(u) = 6*u**3 - 6*u**2 - 2*u - 4. Calculate -4*h(t) + 7*v(t).\nAnswer: -2*t**3 + 6*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 8)*(3*w**2 - 3*w**2 - 2*w**5).\nAnswer: -12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 1 - (1 + 5)) + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287, -568, -849, -1130?\nAnswer: -1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 - 20*q + 8. Let b be p(-10). Suppose 3*i - 3795 = -b*i. Calculate the greatest common factor of i and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62558445*p**4 + 4*p**3 + 28*p**2 + 6844093*p wrt p.\nAnswer: 1501402680*p + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-4 + sqrt(27)\/sqrt(9) - sqrt(36)\/(sqrt(48)\/sqrt(4))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1032\/3 - 4)\/1. Suppose 5*w = a + 160. Is 25 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 67. Suppose 4*f + f + x = 2*m, -4*m + f = -13. Suppose 0 = 2*p - m*b - 14, 0 = 3*p - 4*p - 3*b - 13. Solve -v + p - 3 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3 + 2 = 4*d, 0 = 3*d + 5*q - 21. Let i(m) = -4*m**d + 4*m**2 + 5*m**2. Let v(t) = 2*t. Determine i(v(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 159628, 0.15, -0.4?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, m: 3, f: 5}. Give prob of picking 4 e.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -15. Is 542 - (-1)\/((0 - 3)\/h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8576\/9 at most as big as 1\/104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03247244 rounded to five dps?\nAnswer: -0.03247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p - p + 6*p + 4 - 6*p in the form a*p + g and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j + 1. Let o be f(1). Let i(l) be the second derivative of -l**3\/2 + 3*l**2 - 5*l. Give i(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(208) + 0 - -3*(0 + sqrt(208))**2) + (sqrt(208) - (1*sqrt(208)*1 - sqrt(208)))*3)*-2.\nAnswer: -1248 - 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*b + 4*f, -3*f - 62 + 56 = 0. Let x(q) = 3*q - 32. Calculate x(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -37*t**3 + 12*t**2 + 21*t - 13. Let s be q(8). Let w = s + 324461\/18. Calculate the common denominator of w and ((-166)\/(-12))\/(3\/9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u - 3030 = -8*u. Let v = u - -871. List the prime factors of v.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*v**4 + 17 - 6 - 450*v - 2*v**3 - 2*v**2 + 466*v to d*v + f*v**3 + t*v**4 + l*v**2 + x and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -1. Let h = 4062 - 4063. Let z(f) = 13*f**2 + 6. Calculate h*z(v) - 6*k(v).\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5727 + -5727.0002509. Round v to five dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2 = 3*n - 5*j, 0 = -n - j + 2. Let r(s) = -87499*s**3 - s**2 - s - 2. Let k be r(n). What is k rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-36)*3)\/((-204)\/2142*(-4)\/16)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + -2 + -4 - 1*(sqrt(343) + 1))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2373740*x + 2373648*x - 4140 = 0 for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 74179 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 3*s**2 - 3*s**4 - 3*s**4 - 37 + 4*s**4 in the form z*s**2 + b + m*s + i*s**3 + k*s**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - -31. Suppose 4*c - 1 - w = 0. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r**2 - 448 + 448 - r + 2*r**3 in the form k*r**2 + h*r**3 + z*r + v and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 10*x**2 + 2*x - 1. Let u be p(4). Let f = -156 + u. Solve -5*i + f = 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**3 - 34*h**3 - 36022*h + 18194*h + 17827*h.\nAnswer: -34*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence my when two letters picked without replacement from vvvvyvvmymmmvvm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*sqrt(13)*5.\nAnswer: -10*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 6*n - 2. Let t be u(7). Solve -t*a - 9 = -3*b - 2, -a + 3*b + 1 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 + 1c7?\nAnswer: 1e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r - 1. Suppose -3*m + 4*o = m - 12, 5*o + 15 = 4*m. Suppose 2*p + 10 = m, -5*h - p = -3*h + 5. Suppose 0 = -h*d + 4*d + 12. Give f(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 1. Let u be d(-2). Suppose -2 = -2*m + u*m. What is the units digit of m - -5 - (1 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397995718 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/9 + 21\/(441\/224).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810164.\nAnswer: 2, 67, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/24*-16)\/((-2)\/3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*s + 126*s**2 - 76*s)*(7*s**3 - 2*s - 3*s**3 - s**3) - s**2 - 3 + 2*s**5 + s**2.\nAnswer: 380*s**5 - 252*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -80986 (base 10) to base 7\nAnswer: -455053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 820 and 740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 379397825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-112)*((-138)\/(-1610))\/(1\/(-7))\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4941*r - 696*r - 1591*r)*(-3 - 1 + 2).\nAnswer: 14456*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10552 and 61.\nAnswer: 643672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r = 94*r + 340 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 701005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzn. Give prob of picking 1 z and 1 n.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (12\/14*9\/(-108)*-6)\/3\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (547\/(-56))\/(670\/(-5360)) - 8\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64998*n + 0 + 1 - 65102*n to the form p*n + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.8 - 1.94. What is c rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -8*j**3 + 5*j - 5. Let l(i) be the second derivative of -7*i**5\/20 - i**4\/12 + 2*i**3\/3 - 2*i**2 + 2*i + 721. Determine -5*l(n) + 4*t(n).\nAnswer: 3*n**3 + 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 3. Let h(x) = x**2 + 10*x + 42. Calculate the lowest common multiple of s and h(-5).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/6)\/(1\/(-51)). Suppose b + r = 4*b + d, -b - d = -7. Suppose -b*j + 264 = -41. List the prime factors of j.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11685.\nAnswer: 3, 5, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -36 in descending order.\nAnswer: 2, 1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2 + 5. Let w be z(-5). Suppose -2*h + 42 = 5*s, -3*h - 2*h + 105 = -4*s. Calculate the greatest common divisor of h and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 1, 135.\nAnswer: 1, 3, 4, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 432479599 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 9:30 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -210 + 207 - 12\/(-1). Let g be (114\/133)\/((-3)\/(-14)). Solve 5*s = 3*i + f, -6*s - 5*i = -g*s - 16 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i + 3*p = 30, -2*i + 5*p = -27. Let l = 40 - i. Let y = 35 - l. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35175158 a multiple of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from xoxoxxxryooxryxyoxe.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.286889 to two decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**6*q*q\/q**8)\/(q**1)**12 assuming q is positive.\nAnswer: q**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 150 = 3*o. What is the least common multiple of 24 and o*(2 - (-21)\/(-15))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2))**(2\/91)\/(b\/((b**(-2\/7)*b)\/b))**(1\/59))**(-1\/12) assuming b is positive.\nAnswer: b**(44\/16107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**2 + 7*o - 684. Determine c(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 8.999998. Round g to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36794984 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = t + 39*h - 36*h - 166 + 58, 3*t + 5*h - 47 = 0 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 21. Let u = -7 - c. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 511042941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132b05 (base 12) to base 14.\nAnswer: -83297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/2065?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -46060930 less than -46060929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 407 - 202. Suppose 7*b - 488 = s. Let r = -14 + 25. Calculate the greatest common divisor of b and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 719*n**6 + 53*n**4 + 3*n**3 + 3*n**2 + 11828*n - 3.\nAnswer: 86280*n**3 + 1272*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*3 + sqrt(325) + 5 - (3 + (sqrt(325) + sqrt(325) + 0 - sqrt(325)) + sqrt(325)))**2 - (-2*(1 + (sqrt(1872) - (-1 + sqrt(1872)))) + 1)**2.\nAnswer: 40*sqrt(13) + 1295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {m: 1, d: 5, n: 3}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + z - 6, -z + 5*z = 2*o + 6. Let k = 1 + o. Let g(y) = 10*y - 13. Let r(q) = -7*q + 11. Let w(p) = -2*g(p) - 3*r(p). Give w(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103322 (base 5) to base 6.\nAnswer: 24335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 19476946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from rrrrrmgrrumgrr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56717, 56731, 56747, 56765?\nAnswer: 56785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5\/4 + z**4\/2 - 21*z**3\/4 + 9*z**2\/2 = 0.\nAnswer: -6, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/6*3 - (-10)\/4. Suppose q = -0*q - b*q. Solve q*c = 5*c + 2*m - 11, -4 = 2*m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10941 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12 - (-40 + 10)) + 6\/(-3). Solve -14*s - j = 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, j: 3, l: 1, v: 2, s: 1, h: 3}. What is prob of sequence jwl?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from eggggudgagageuee?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*m - 1095 = -429 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59672643 is divided by 59672637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34453 + -70397\/2. Let n = r + 4585\/6. Let d = n + -409\/6. Find the common denominator of d and -113\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -29680567.\nAnswer: 4\/29680567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10585616 to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 12 = 6*n. Suppose 0 = -d + n*d - 14. Let h(o) = 3*o - 6. Let f(w) = -2 + 10 - 5*w + 3. Calculate d*h(v) + 4*f(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10568 divided by 1?\nAnswer: 10568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 324 and 135158.\nAnswer: 21895596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4107300.753 rounded to the nearest 1000?\nAnswer: 4107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54535737 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: Three letters picked without replacement from {n: 5, u: 4, s: 3}. Give prob of picking 1 s, 1 u, and 1 n.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35079502 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 11. Let c be (-2 - o\/4)*8. Let v(a) = -a**2 + 2*a + 3. Let m be v(-1). Is m at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x - 11*x = 48. Solve -4*k = x*h - 4, -h + 6*k - 3*k + 9 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 10:19 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**2\/5 - 3708*u - 55656\/5 = 0. Calculate u.\nAnswer: -3, 4638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-15)*6\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -287, -289, -291, -293, -295, -297?\n\"Answer: -2*x - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 625612?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -16*x + 21. Calculate q(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 504 - -18. List the prime factors of z.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k**2 + 0*k**2 + 2*k**2)*(-164824 + 80370 + 72678)*(4 - 4 + k**2) in the form p + j*k + i*k**3 + n*k**2 + g*k**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 971914 and 1384.\nAnswer: 3887656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 4*u - 2*v - 11, -4*u + v = -13. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eighty-seven fifths of a minute?\nAnswer: 1044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -3 - (84\/(-56))\/((-2)\/(-8)) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3171 + 3174. Solve 0 = 5*g - f*k + 3 - 9, 2*k = -g - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - f - 1, w + 4*f + 1 + 3 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 2*r + 14. Let a(t) = -t**3 - 7*t**2 - t - 2. Let g be a(r). Suppose 5*v = g*c - c - 9, 4*v + 6 = 3*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17823 + 70337 = 32*n. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p + 9. Suppose -11*k = -5*k - 36. Let g(b) = -3*b + 5. Give k*c(t) - 11*g(t).\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 2 + t + 20 + 5 to l + s*t and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1016 and 4844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 >= 1205970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 144.472 + 0.528. Let s = 98.7 - a. Round s to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.99 times -3513?\nAnswer: -17529.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 4:14 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 74*y + 912. Calculate q(-14).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (-38 + 34) - -31) + 42\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -471 and 71132?\nAnswer: -33503172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1428*l*p**5 - 2*l*p**4 - 216*l*p + 3*p wrt p.\nAnswer: 28560*l*p**3 - 24*l*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.127 + 0.173. Sort 0.1, 2\/21, 4, k.\nAnswer: 2\/21, 0.1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 122\/18 + (-2)\/(-9). Suppose 0 = 27*j - 26*j - 85. Suppose -p = -2*u + j. Calculate the remainder when u is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1407091459?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = v - 2*h, -2*h + 6*h = 3*v - 32. Let p be v\/22 + (-276)\/66. Is -4 != p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4868 = 2*j, -2*c - 451 + 10169 = 4*j. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -279, -814, -1717, -2994, -4651, -6694, -9129, -11962?\n\"Answer: -y**3 - 178*y**2 + 6*y - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 5*r + 2*h = -349, -131 = -r - 3*h. Differentiate 200*x - r*x + 40 - 58*x - 126*x with respect to x.\nAnswer: -103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**4\/12 - t**3 + t**2\/2 + 13*t. Let i be ((-25)\/2)\/5 - 9\/6. Let d be 2\/i*-12 - -1. Calculate k(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.096, 2\/5, -3, -0.3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1710 + -1644. What is the remainder when k is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 2*p**2 + 4*p. Suppose 4*k - 7*k = -9. Suppose -12 = n + k*n. Let d be t(n). Which is the biggest value? (a) 5 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/4 + 305*u**2\/4 - 303*u\/2.\nAnswer: -u*(u - 303)*(u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/230679603 and 60\/10087.\nAnswer: 230679603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2. Let m(i) = -i. Let q(j) = 4*m(j) - 2*u(j). Let s(x) = -x - 1. Calculate -q(v) + 5*s(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 5*k = -19, k - 19 = 5*f - 2*k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 902 - 800. List the prime factors of u.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(4\/14 + 201\/(-777)). Suppose s + s - o = 0. List the prime factors of s.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49.387 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggo when three letters picked without replacement from bdogdgdbo.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 95.5951s?\nAnswer: 95595100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*h + 7*h + 8*h + 4 as z*h + u and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -766.6895*-0.01.\nAnswer: 7.666895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + 10*c**3 + 8*c**3 + (3 + 0 - 2)*(-2*c + 2*c - 2*c**3) + 81*c**3 - 375*c**2 + 375*c**2 + 2*c**3 - c + c.\nAnswer: 97*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*d - 143*d = 904. Let z = d + 226. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**4\/12 - c**3\/2 - c**2 + 7*c + 11. Let q(l) be the first derivative of i(l). Let w be q(-2). Solve -2 = -w*m + m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2279*t - 220 = -2257*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*x + 2*v, 3*v = -3*x - 1 - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9886*c**3 + 9886*c**3 + 1724*c - 2228*c**6 - 2*c**2 wrt c?\nAnswer: -267360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3742669 greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1737.21558238 and 9.\nAnswer: -1728.21558238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 741*d**2 + 25*d - 108. Let s be c(6). Suppose s = 12*o - 7110. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44190 + 7961. What are the prime factors of m?\nAnswer: 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -5. Suppose 5*b - b = -3*o + 11, -4*o + 12 = h*b. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1573 + -1570. Solve -4\/5*n + 0*n**v + 0 - 8\/5*n**2 + 4\/5*n**5 + 8\/5*n**4 = 0 for n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/37216 and -57\/2326?\nAnswer: 37216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 109, -2.\nAnswer: -2, 1, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/(-21) - 6 - 4319\/1862 - 20\/(-190).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*y = -87, -14 = -2*w - y + 48. Let x = w - 81\/2. Does x = -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13688757 divided by -3\nAnswer: -4562919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)*g**6)**(-43) assuming g is positive.\nAnswer: g**(-215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(4\/11)*b)**(-25\/4) assuming b is positive.\nAnswer: b**(-325\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2274040 (base 8) to base 9.\nAnswer: -1145238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21395 + 21500.41. Let w = -106 + s. What is w rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 277*b*s - 7206*b*t**2 - 2*s*t**2 + 30*s - 100190*t**2 wrt b.\nAnswer: 277*s - 7206*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -6?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -222493988*b*d + d - 95172886 wrt b?\nAnswer: -222493988*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l + l**2 + 8*l - 4*l - 14*l - 27*l + 97. What is c(32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -24 + (7 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3 = -5*b + 533, -2*z + 10 = 0. Solve 0 = -110*v + b*v + 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. Let k = s - 0. Let r = k + -5. Is -0.2 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-4 - -8) - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 270, 798, 1304, 1776, 2202, 2570, 2868?\n\"Answer: -2*i**3 + i**2 + 539*i - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a**2. Suppose -3*f + 3 - 11 = 2*h, 2*h - 3*f + 32 = 0. Let c(s) = -s**3 - 10*s**2 - 1. Let d be c(h). Calculate l(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -159 + 99. Let w be (3\/6)\/((-2)\/m). Solve -i = 4*i - w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - g. Let a be 2 + (-3)\/(-15)*-6. Let q = 2\/53 - 63\/265. What is the second smallest value in q, a, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 445616748 to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7851839141 to the nearest integer?\nAnswer: 88611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 652.352*1.52.\nAnswer: 991.57504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22566?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 6612.\nAnswer: 72732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 7, 21, 37?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + -0.1. Let y = 79 + -78. Which is the biggest value? (a) -3 (b) x (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n - 3*n + 6*n)*(0 - 3 + 4)*(3*n + 0 + 0) to p*n + k + z*n**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 13*p. Let n(x) = 10*x + 11. Let c(b) = -b**2 + 4*b + 3. Let y be c(5). Let a(g) = -2*g - 2. Let j(s) = y*n(s) - 11*a(s). Give j(h(w)).\nAnswer: 26*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*m)*((-2 - 3 + 2)*(0*m + 0*m - m) - m - 2*m + 2*m - 27 + 10*m + 27 + (-4*m + 4*m - 3*m)*(0 + 3 - 4) + m - 2*m + 2*m).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4681454.\nAnswer: 2, 2340727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 323*l**4*n**2*z**2 - 133*l**4*n*z - 208*l**2*z - 8*l*n**2*z**2 - 4*n*z**2 wrt l.\nAnswer: 7752*l*n**2*z**2 - 3192*l*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 - ((-12 - -24) + 124)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 125 from 0.02.\nAnswer: -124.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29963.\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -8*i. Let y(c) = 112*c**2 - 32*c - 11. Let f(v) = -23*v**2 + 6*v + 2. Let m(n) = 11*f(n) + 2*y(n). Give m(k(t)).\nAnswer: -1856*t**2 - 16*t","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (18 + 928\/(-48))\/((-4)\/6). Solve -4*h + 3*x = -9*h + u, 6 = 5*h + 4*x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9773652 and 2327060.\nAnswer: 48868260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/5 - 400*z + 200000.\nAnswer: (z - 1000)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrfrrrrrrrrrfrr. Give prob of sequence ffr.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 6:41 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2780706 is divided by 1390347?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(150))\/(sqrt(20)\/(-2*sqrt(10))) + ((-3*sqrt(3993))\/(sqrt(88)\/sqrt(8)*4))**2.\nAnswer: 10*sqrt(3) + 3331\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1 - (-2)\/(-3). Let x be (-8)\/14 + (-6)\/14. Is n greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + (sqrt(132) - ((sqrt(132) + sqrt(132)*-4)*-5 + sqrt(132))))\/sqrt(12).\nAnswer: -14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 90*s - 571. Let l be j(6). Sort l, -1, 34 in ascending order.\nAnswer: -1, l, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*n - 400, 233 = n - 2*j + 53. What are the prime factors of n?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 + 149*g**4 - 72*g**4 + g + 3 - g**3 + 2*g**2 - 75*g**4 to d + x*g + z*g**3 + r*g**2 + n*g**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 34844 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-8)*(4 + (-56)\/6). Solve 3*d + 0*v - v = -10, 3*d + v + n = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 43*a**2 + a - 2. Let t be v(1). What is the greatest common factor of 231 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1392 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 28 = -4*b, 4*b + 0*b + 5*i = -1. Let w = 1571\/1002 - 234\/167. What is the closest to 2 in -1\/11, b, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4783388 (base 10) to base 7\nAnswer: 55441511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97422268?\nAnswer: 2, 53, 157, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12513 - -1?\nAnswer: 12514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -14*j**2 + 677*j - 10. Let q(d) = -27*d**2 + 1347*d - 18. Let t(l) = 9*m(l) - 5*q(l). What is the second derivative of t(x) wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 12:37 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36.2 + -33.06. Let l = -3.54 + s. What is the closest to 0 in l, 0.09, -4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9940203541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/11))**(-19)*(j*j**(3\/7))**(4\/13) assuming j is positive.\nAnswer: j**(-3018\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 219*a + 1311. Let u be d(-6). What is the third biggest value in -0.2, -0.06, 43, u, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -654, -1118, -1582, -2046?\nAnswer: -2510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5222 + l**2 - 3*l**2 - 5968 as n*l**2 + u + d*l and give u.\nAnswer: -746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 854621?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -31, -29, -29, -31, -35?\n\"Answer: -t**2 + 5*t - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 465788 and 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.08, -159, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/56)\/(((-84)\/7)\/(-48))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 - -71. Calculate the remainder when 39 is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -189\/16, 1\/3, -4, -15389?\nAnswer: -15389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.768 and -455.2.\nAnswer: 1715.1936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - j**2 + 3*j + 3. Let o be a(-2). What is the second biggest value in 0.2, o, -3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {t: 8, i: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8039?\nAnswer: 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.6 + 0.6. Let x = 46 - 467. Let m = x - -420.9. Which is the closest to m? (a) -2\/7 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 49 = -3*n, 3*n + h + 12 + 36 - 6 = -2*h for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9201654 and 14553?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 9:33 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.67386 to 0 dps.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -19*w**3 - w + 1 - 3 - w - w**2. Let d be r(-1). Calculate the remainder when (-4)\/d - (-368)\/36 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 5*w**2 - 6*w - 5. Calculate t(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1005)\/(-30)*3\/((-9)\/(-78)). What is the highest common factor of u and 1072?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 201 + -479. Round v to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28366751843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 77985067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (-648 + -3 + -2). Suppose 0*k + z = 4*m + k, 4*m + 4*k = 644. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -5*x**4\/4 + 5*x**2\/2 + 5. Solve z(o) = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50030063264\/1015 + 49290696. Let i = j - -22\/145. Let a = -627\/4 + 149. Find the common denominator of i and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + s = 1346, 10*s - 12*s = n - 340. Calculate the greatest common divisor of 21 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-60)\/125) - (-2)\/(-8). Solve 3*a = c*a + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w + 14. Suppose -4*f = -8 - 0. Suppose -f*k = -k - 6. Let t be b(k). Calculate the greatest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 38 + 1490 = 0. What is the smallest common multiple of z and 32?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 78 + 187*j**2 - 93*j**3 - 30 + 17*j**4 - 75*j + 491*j**5 - 492*j**5 - 83*j = 0. What is j?\nAnswer: 1, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 683, 0.06 in decreasing order.\nAnswer: 683, 1\/8, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*q**3 - 5*q**3 - 7*q**3.\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2785590 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 r when three letters picked without replacement from {l: 4, h: 4, c: 1, r: 3, p: 4}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 0, f + s - 2 = -0*s. Let c be ((-2)\/(-5) + (-16)\/(-10))\/f. Let b(k) = -5*k + 1. Calculate b(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -489*x + 9. Let h(z) = -452*z + 8. Let t(o) = -13*h(o) + 12*m(o). Let y(n) = -39*n. What is y(t(r))?\nAnswer: -312*r - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 437*n**2 + 230*n**2 + 9*n**2 + 32*n**2.\nAnswer: 707*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 569, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 1120*n**2 + 62*n - 10. Let y(t) = -5602*t**2 - 310*t + 49. Let s(i) = -14*w(i) - 3*y(i). Find the second derivative of s(p) wrt p.\nAnswer: 2252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 221558161?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3503 is divided by 681?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 381879 + 208544. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -13. Suppose -4*u = -u. Suppose u = -13*z + o*z + 176. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-342)\/(-216999)*141)\/(1\/(-243))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2 - 66973*a - 15749932 = 0.\nAnswer: -66737, -236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-252)\/20 + (-2)\/5. Let y = 8 + p. Sort 4, -3, y in descending order.\nAnswer: 4, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s**(-22)*s*s)\/s*s)\/s)\/s)\/s*s**6*(s*s**10*s)**34)**(-1\/24) assuming s is positive.\nAnswer: s**(-391\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*y**2 + 244034 - 244034 - 3*y + 3*y.\nAnswer: -133*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 202788 and 2534850?\nAnswer: 5069700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 - -34236?\nAnswer: 34236.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 - -2. Let m = 3 - 3.1. Let x = 7622 - 7624. What is the closest to m in x, u, 3\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -225 - -228. Calculate the least common multiple of 37 and y.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2)*(3*f + 0*f + 0*f)*(981870 - 981870 + 1980*f**2) to the form j + q*f + h*f**3 + d*f**2 and give h.\nAnswer: -5940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f + 967*f**2 + 5994*f**2 - 177*f**2 - 606*f**2.\nAnswer: 6178*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 10. Solve 0 = -n*b + 4*s - 26, 0 = 3*b - 3*s + 3 + 15 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 + 2*k. Let o(x) = -9*x. Give o(l(w)).\nAnswer: 18*w**2 - 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1422797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + 24.8. Let w = 14 + z. Let y be (-2)\/1 + 26\/14. Which is the second biggest value? (a) y (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 10 = 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 200?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9780663 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6835412 and 13.\nAnswer: 88860356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 595173.\nAnswer: -4\/595173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-27)*(-126)\/(-56)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 18*w - 4125 = w. Let o be (1148\/(-70))\/(1\/10). Is w less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/11 - (-31)\/11. Suppose -x = -p - 0. Let i be (1\/p)\/(1\/3). Solve 3*v + i = 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, e: 1, w: 3, j: 4, i: 2}. Give prob of picking 2 z and 1 e.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/117)\/((-984)\/4428)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + -1)*(-3)\/(-9). Is j at least 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d - 35. Let t be g(9). Let h be (113\/t)\/1*(-15 + 13). Let j = -139 - h. List the prime factors of j.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2013444 (base 6) in base 8?\nAnswer: 272304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 - 339\/7. Let m = -0.3 - -0.3. Let o = -3 - m. Which is the second smallest value? (a) o (b) 1\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 8 = -4*v + 2*h, -3*v - 15 = 4*h. Let g be v - -2 - (1 + -27). Let p = g - 8. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -233, -19, 4 in descending order.\nAnswer: 4, -2, -5, -19, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((1*sqrt(1700))**2*-6 - (-6*(sqrt(1700) + (sqrt(1700)*1 - sqrt(1700))))**2) + -4)*1.\nAnswer: -285616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/42 - (-2371)\/(-12). Let y = l - -212. Let b = -3\/1277 + -95727\/20432. Calculate the common denominator of y and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3231\/(-15078))\/(72\/147)?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/1943640 and 79\/1320.\nAnswer: 21380040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -6. Suppose -5*v + 7*l + 585 = 2*l, r*v - 2*l - 472 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1690363.\nAnswer: 79, 21397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4362526 to the power of 1\/2, to the nearest integer?\nAnswer: 2089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -6, -5, -41.\nAnswer: -41, -6, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -25*j - 1. Let k be 72\/(-16)*2\/3. Let p be (-1 + -9)*(-2)\/4. Let l(o) = -13*o. Let q(w) = k*r(w) + p*l(w). What is the derivative of q(c) wrt c?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29810355 divided by 5.\nAnswer: -5962071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17543 + -17482. What is the third smallest value in 1, -1, q, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -164 - 3*q - 126 + 304 + 210 + 282 to the form v + d*q and give v.\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1970298.909 + 20367.791. Let c = q + -1990665.98999934. Let i = c - 0.71. What is i rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**4 + 234*n**3 - 11346*n**2 - 106538*n + 117648 = 0.\nAnswer: -152, -9, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.9 + 7. Suppose 0 = 2*r - 51 + 47. Which is the nearest to j? (a) r (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 21*a**2 + 9*a - 48. Let o be v(12). Let p = o + -157. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122 + -123. Let g = 28 + -18. Let q = g - 15. What is the second smallest value in q, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7716555 litres?\nAnswer: 771.6555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*s**3 - 45*s**3 - 28*s**3 - 52*s**3 - 28*s**3.\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -48*m**2 - 14*m**2 + 90*m**2 + 114*m**2. Let v(i) = 2*i - 48 + 48. Calculate v(r(z)).\nAnswer: 284*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903495873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i - 3510 = -3*s, -2*s + 2*i + 2336 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0664484 kilograms in tonnes?\nAnswer: 0.0000664484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 3*l - 2*l)*(0 + 7 + 2)*(0 - 8 - 1)*(-4 + 6 + 3).\nAnswer: 810*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-46)\/(-4)*(4 - 2). Let y = i + -28. Let k(d) = 6*d - 14. Let b be k(y). What is b rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 909 - 573. What is the smallest common multiple of q and 336?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 15*a**2 - 4*a - 12. Let f(y) = y. Let o(v) = 5*f(v) + r(v). Let w be o(8). Suppose w = 9*n - 25. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(242) + sqrt(242)*-3)*4)**2 + -2)*6.\nAnswer: 836340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-205 - -199) + 0 + (-2 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.29 * -43188\nAnswer: 12524.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16182 and 22272.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 2 = g + 7, -5*g = 2*o - 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**2 - 3*q**2 + 6*q**2)*(-523 + 269 + 329) to b + c*q + p*q**2 and give p.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 123 - 2*w + 2*w**2 + 6*w**3 + 126 + 4*w**2. Let s(j) = -2*j**3 - 2*j**2 + j - 1. Determine -7*s(p) - 2*u(p).\nAnswer: 2*p**3 - 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28828062 in 3, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98881*f**2 - 49445*f**2 - 49437*f**2 + 4*f - 3*f.\nAnswer: -f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 408 or -1?\nAnswer: 408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -215 + 222 - 49*a - 40*a + 92*a. Let s(z) = -7*z**2. What is s(j(r))?\nAnswer: -63*r**2 - 294*r - 343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*u = -14, 2*m + 3*u = 4 + 9. Suppose c + 3*k - 10 = m*k, 5*k = 2*c + 8. Suppose 0 = 2*i - 4 + c. Let q(g) = 5*g. Calculate q(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jeej when four letters picked without replacement from {j: 3, e: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.24843 millennia to months.\nAnswer: 74981.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19378 is divided by 2418?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) -0.4 (c) -12.65 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**13\/(d*d*d*d**(1\/15)\/d*d)*d**8\/(d**15*d))**(-43))**40 assuming d is positive.\nAnswer: d**(-9976\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -11. Suppose r*q = 7*q - 16. Solve q*a = 0, a + 8 = 2*f - 3*a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j. Let a(l) be the third derivative of 149*l**4\/8 + 2*l**2 - 80*l. What is d(a(y))?\nAnswer: -447*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11213799, -11213799, -11213801, -11213805, -11213811?\n\"Answer: -i**2 + 3*i - 11213801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246284601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 44, 81, 128, 185, 252, 329?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 - t + 15. Let k be i(0). Suppose -10 = s - k. Solve s*a - 20 = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30386615 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 293 + -293.3. Which is the closest to 0.1? (a) -13 (b) 1\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -t. Suppose p - 2 + 7 = t. Which is the nearest to -1? (a) 0 (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 30 = 3*z + 6*a, 0 = -3*z - 4*a - 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*29\/(-609)*(-5)\/((-475)\/(-7)).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*a = -83*a. Suppose 3*c - 29 = -2*p, -2*c + 0 = -4*p + 2. Differentiate a + 5*k**2 - 2*k**2 + c wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1479452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 713?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -39*w + 5. Let l be y(5). Let n = l + 360. Suppose 3*u + 4*p - n = 0, -4*u - p + 151 + 80 = 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 596 + -75. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 332 and 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2\/j*j**(4\/5))**12\/((j\/j**(-5))\/((j**(-2\/5)\/j)\/j))**(-3\/8) assuming j is positive.\nAnswer: j**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21704 - -35511. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, -3\/2, -34, 8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -512\/9 + 57. Let y(j) = -j + 19. Let z be 3 + -7 - -22*1. Let w be y(z). Which is bigger: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*g - 11, 10*g = 2*t + 11*g - 6. Is t at least -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -59 + (-59 - (-59 - 24)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*m - 7490 = -25166. Which is smaller: m or 489?\nAnswer: 489","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 162 - 132. Let q = -34 + z. Let n be 0 + (-4 + 3)*q\/(-4). Sort n, 3, 8, -3 in decreasing order.\nAnswer: 8, 3, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 10*o - 11. Calculate the remainder when v(5) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42378.\nAnswer: 2, 3, 7, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 161270588?\nAnswer: 1612705880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7*y - 364. What is f(38)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 - -51. Suppose g = -u - 34 + 40. Suppose u*q - 12 = -0. Solve 4*i + 11 = -q*j + 1, 5*j = 4*i - 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 10) in base 3?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18601.\nAnswer: 11, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/17, -6, 640\/7, -4, -0.2, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in 1, 35, -5, -4, 447, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -13653?\nAnswer: 23\/13653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1138027 is divided by 7958?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*l - 91*l + 48*l + 22*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lplb when four letters picked without replacement from bblasbwslspb.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6371 + -6359. Solve 0 = 2*i + v + 4, d*i = 11*i + v + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -15.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 4*t**2 + 8*t - 3. Let x(z) = 32*z - 41. Let v be x(5). Suppose v*o - 121*o + 62 = 0. Suppose -4*q - o = -51. What is m(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 169*-798.8\nAnswer: -134997.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = 3*k - 4*k. Let g = k - 35. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385524 is divided by 572.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3809 + -0.5?\nAnswer: 3808.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 250144855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5 = -50. Let v be ((-6)\/t)\/((-1)\/(-5)). Solve -2*j - v*g - 6 = 0, 0 = -j + 2*j - 2*g - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 4. Let z(n) = n + 3. Let m(t) = -2*q(t) + 3*z(t). Let s = -1 - -9. Let r = 5 - s. What is m(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3\/10852, 0.07, 5, -0.4 in descending order.\nAnswer: 5, 0.07, 3\/10852, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 3:40 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 9:06 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3 - 3 = 3*p, 0 = 4*p + 5*z - 28. What is the lowest common multiple of p and (-3)\/(-4) + -1 + (-330)\/(-40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 53 = 3*z, 4*z = -1098*k + 1090*k - 108 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2 + 0*t**3 + t**2 - 2 - t**3 + t + 5. Suppose 0 = -5*u + 73 + 2. Let h = u - 13. Determine f(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o + 4. Let l(f) be the second derivative of 5*f**3\/6 + 3*f**2\/2 - 7*f. Let w(d) = -3*l(d) + 4*n(d). Is w(5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 5:16 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*(3 + sqrt(5)).\nAnswer: 3*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -600.5.\nAnswer: -600.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79\/2 + 42. Let m = -0.18 - -0.14. Let w = m + -0.46. What is the second smallest value in -2\/5, v, w?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 52 (b) 1 (c) -201 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.2 (c) 13 (d) 0.4 (e) 2 (f) -0.5 (g) 18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-178262)\/60 - (-2)\/(-3). Let r = -2967 - b. Calculate the common denominator of 77\/26 and r.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 313, 4, 2\/7, -0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*f**2*t**3 - 2*f**2*t**2 - 14*f**2*t - 2*f*t + 73*t**2 - 574 wrt t.\nAnswer: 120*f**2*t - 4*f**2 + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/8*(14 + -12). Let z = -1 - -2. Is z > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/9)*(h*h**(-3\/5))\/h)**12 assuming h is positive.\nAnswer: h**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*i**2 + 164*i**2 - 5*i + 5*i + 163*i**2.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 3*p - 7. Let t be j(-5). Suppose 2*d + t*u + 15 = 0, -2*d = 2*u + 12 - 0. What is d rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 34, 42, 50, 58, 66?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d - 22*d - 4*d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389068 is divided by 129686.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-39) + 85\/(-130)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 15. Let f be (-1)\/(v\/(-3) + 4). Solve -h = -f + 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/6*d**3 - 18*d**2 - 106\/3*d.\nAnswer: -d*(d + 2)*(d + 106)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/27)*q)**(-34) assuming q is positive.\nAnswer: q**(-986\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 2153888*q - 122784612.\nAnswer: 4*(q - 57)*(q + 538529)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*k**5 + 156*k**4*s - 9*k**3 + 5*k*s + 15399 wrt k?\nAnswer: 120*k**3 + 1872*k**2*s - 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371337 is divided by 1303.\nAnswer: 1285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3000*y**3 + 2*y**2 - 2*y. Let g(a) = 827999*a**3 - 553*a**2 + 553*a. What is -553*f(z) - 2*g(z)?\nAnswer: 3002*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 539347 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2241121\/90246 - 2\/15041. Calculate the common denominator of y and 41\/736.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 44*a - 45*a. Is 552\/15 - a\/70 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/(-56)*52*4\/(-6). Sort k, -4, 1.\nAnswer: -4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**2\/3 - 253*l\/3 - 502\/3 = 0.\nAnswer: -251, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*i**4 + 0*i - 8\/3*i**2 - 8\/3*i**3 + 0.\nAnswer: -2*i**2*(i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 282347 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*((-6*(sqrt(91)*1 + sqrt(91)) - sqrt(91))\/(sqrt(84)\/sqrt(192) + sqrt(7)) - (-5 + (sqrt(13) + -1)**2 - (3 + (sqrt(208))**2))).\nAnswer: -126*sqrt(13)\/5 + 607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -156 + 301. What is the remainder when 56 is divided by d\/13 + (-4)\/26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 6) to base 3\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57731, 115465, 173199?\nAnswer: 230933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -10 - -3) + -10 + 4 + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/467665? (a) -4 (b) -0.2 (c) 1 (d) -2\/59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*1)\/((60027\/34)\/(-107)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 6 + -3 + 2. Let g be (q + 2)*9*-1. Let s = -23 - g. What is the highest common factor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/16)\/(-3) - (26 + (-2020)\/80)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.4 + -7.1. Let f = r + -4. Let y = -67.643 + 71.643. What is the biggest value in y, -5\/4, -5, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u = -102. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 391\/119 + (-98107)\/26467.\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 - 41*u**2 - 20*u - 17. Let t be x(21). Suppose -5*j = -4*f - 3804, -t*f - f + 3840 = 5*j. Does 86 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.6 - -0.4. Let p = 8 - q. Suppose 10*u = 17*u + 28. Which is the biggest value? (a) p (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a**3 + 23*a**3 + 73*a**3.\nAnswer: 109*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c + 4*c + 2*c)*(0 - 1 + 3)*(-5 - 4 + 0 + 1 + 2 - 1 + (-4 + 2 + 1)*(2 - 3 + 2))*(-297 + 45 - 40) in the form i*c + h and give i.\nAnswer: 4672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 70.1? (a) -1 (b) 2\/61 (c) 460\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 27 = 3*u - 6*y, -2*y - 2 = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 92690075231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7293, 12628, 17963, 23298, 28633?\n\"Answer: 5335*s + 1958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*sqrt(7) + 3.\nAnswer: -2 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.143 + -1.857. Which is the closest to 2? (a) 0 (b) 1 (c) z (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x - 12. Suppose -x*g + 299 = -969. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6 + 24 = 5*n, z = 5*n - 15. Solve n*k - 10 = 3*c, -5*c = -3*k + 2 - 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1271 or 1270?\nAnswer: 1270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q\/q**(-3\/5)))\/q)\/(q*q**(-2\/83)*q)*(q\/(q*q*q*q\/((q**(-25)*q)\/q))*q)\/(q**(1\/9)*q))**12 assuming q is positive.\nAnswer: q**(-458464\/1245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 4:21 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31833306 and 24759238?\nAnswer: 222833142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 2. Let k be 4\/10 - z\/20. Let l = 26 + -26. Which is the third biggest value? (a) l (b) k (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 15. Let h = 9 + a. Let f(b) = -2*b - b + 1 + 2. What is f(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-42)\/(-12))\/(1\/(-10)). Let k be 71\/(-4) + 1\/(-4). Let m = k - f. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/17)\/z)\/z**7)\/(z**(-8\/7)\/z**9) assuming z is positive.\nAnswer: z**(269\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*a - 0*a. Find the second derivative of -7*u**a + 8*u**2 + 1 + 3*u - 1 wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 35. Solve -2*p = 4*k - y, 0 = -k - k - 3*p + 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000111000011000 (base 2) to base 9\nAnswer: -54807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 3*y + 0*y)*(-16*y + 38*y + 22 - 8*y) to i + z*y + s*y**2 and give z.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -36 (b) 0 (c) -0.2 (d) 0.02 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -676 - -754.6. Let y = h - 57. What is y rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 25*o + 1. Let q be p(1). Let s(g) = -2*g**3 - 5*g**2 + 8*g - 4. Let i(w) = -9*w**3 - 20*w**2 + 32*w - 16. Let m(z) = q*s(z) - 6*i(z). Factor m(x).\nAnswer: 2*(x - 2)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-20\/7)*i)\/(i*i\/(i*i\/(i\/(i\/i**(2\/29))*i)*i)))\/(i\/(i\/i**9)*i*i**(2\/21)*i) assuming i is positive.\nAnswer: i**(-7930\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-8)*p*p*p**(-1\/9)*p)\/(p**(-8)\/p**(-1)))**(-27\/4))**(-33) assuming p is positive.\nAnswer: p**(1683\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 0*r**3 + 9*r**2 + 0 + 1\/12*r**4 + 0*r. Let j(z) = -46*z. Calculate j(k(p)).\nAnswer: -92*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1104 (base 5) to base 9.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -520, -1037, -1556, -2077, -2600, -3125, -3652?\n\"Answer: -g**2 - 514*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 49 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 - -63. Solve 4*z + 7 = -3*t, -i*t - 6 = z - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -274\/133535 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/12*8\/6. Let x = 0.3 - 0.5. Which is the nearest to -2\/7? (a) o (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18aa + -4?\nAnswer: -18b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -9315.\nAnswer: 9314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 622 - 414 = 0. Suppose n - 4*b - 64 = 0, -3*n + b = 2*n - 339. What is the remainder when n is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5 = -3*h + 6, -5*f + 24 = 4*h. Let s = f + -7. Is 10 a factor of 24\/(s\/12*-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, f: 2, q: 1, h: 1, b: 1, o: 1}. Give prob of sequence fioh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/1814564 and 109\/12?\nAnswer: 5443692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014260499 to five decimal places.\nAnswer: 0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 579571.4kg?\nAnswer: 579571400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 52704600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**5 + 309*y**4 - 7473*y**3 - 25281*y**2.\nAnswer: -3*y**2*(y - 53)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*j + 36 = -38*j - 2*v, -77 = -4*j + 5*v. Let z(f) = f**3 - 6*f**2 - 94*f + 41. Let h be z(j). Solve 8*a = 2*a + h*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o**2 - 210 + 210 as t*o**2 + q*o + u and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73306557*o**3 - 10*o - 98940?\nAnswer: -439839342*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*(-1*sqrt(98))**2 - (sqrt(98) + (sqrt(98) - sqrt(98)*-2) + -4)) + ((3 + (-1 + sqrt(98) - sqrt(98)) + 1)*1)**2.\nAnswer: -87 - 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36971263 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 978883327?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06918281 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -4\/3 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5856 divided by -2928.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 211*g**2 - 45580*g + 886. Calculate l(216).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 15, 3, 1\/2, 12, 0.1, -0.1 in decreasing order.\nAnswer: 15, 12, 3, 1\/2, 0.1, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2689718.9899 + -2689898. Let n = y - -179. Round n to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32026971 divided by 23.\nAnswer: -1392477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*y, -2*r - 4 = 3*y - 0. Sort -4, 7, r, -1.\nAnswer: -4, -1, r, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 0*b = -42. Solve -4*r = -3*y + 14, 4*y - b = -2*r - 24 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2104? (a) 2\/25 (b) 1\/2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 28*j**2 + j - 61. Is l(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}