diff --git "a/data/dm_maths/full_data/11048_11255.jsonl" "b/data/dm_maths/full_data/11048_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11048_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let z(j) be the first derivative of -j**2\/2 - 6*j + 3. Let r = -7 - 0. Determine z(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10495, -20974, -31453, -41932, -52411, -62890?\n\"Answer: -10479*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37376 is divided by 550?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/33 + ((-3098)\/(-22) - -5). Let z = -152 + j. Let k(x) = -x**3 - 7*x**2 - 3*x + 8. What is k(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**3 - 2 + 2 + (-59*n**2 - 53*n**2 + 21*n**2)*(-4*n + 2*n + n) to r + f*n**3 + p*n + j*n**2 and give f.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59.000011 + 59. What is n rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1788147 divided by 10457.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**3 + 30*g**2 - 58*g - 237. What is i(-5)?\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3753)\/(-15846))\/((-18)\/(-4)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 1869192\nAnswer: 5607576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t = 11 - 43 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 85*j**3 + 75*j**3 - j - 1 - 165*j**3 + (-3*j + 2 - 2)*(-3*j**2 - 5*j**2 + 4*j**2).\nAnswer: 7*j**3 - j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*i*j*r + 1648*i*j + i*r - 1751*i - 35925*j*r + 4 wrt r.\nAnswer: 7*i*j + i - 35925*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -9 + 6 - 2 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -524*u**6 - 3*u + 2*u**2 + 1798*u**5 - 595*u**5 - 602*u**5 - 600*u**5 + 93 wrt u?\nAnswer: -62880*u**3 + 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*d**3 + 899 - 6*d**3 - 15*d**3 - 907.\nAnswer: -44*d**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, r: 2, u: 2, y: 1, e: 1, n: 1}. What is prob of picking 1 y, 1 u, 1 k, and 1 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -886.4 - -1730.1. Let k = z - 647. What is k rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*r - 429, 3*r + 0*r + 5*j - 429 = 0. What is the remainder when r is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/357355180 and 43\/156.\nAnswer: 1072065540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.91 + 10.91. Which is the biggest value? (a) 1\/3 (b) -43 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34\/5 - 8. Which is greater: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**29\/d)**(-40)\/(d**(6\/7)*d**(-2\/7)))**(-2\/67) assuming d is positive.\nAnswer: d**(15688\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, z: 3, t: 10, j: 1}. Give prob of picking 1 z, 1 b, and 1 t.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553079 is divided by 1475.\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 2*n - 6*n. Suppose 3*z - n = 3*f, -2 = -2*z - 4*f + 2. Solve 4*l + 14 = -z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 5*p**2 + 5*p**2)*(6*p**2 + 6*p - 6*p) + 16*p**2 - 16*p**2 - 5*p**4.\nAnswer: 43*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w. Let b(k) = 14*k - 57. Let m(x) = 40*x - 185. Let l(q) = -13*b(q) + 4*m(q). Calculate 6*d(s) - l(s).\nAnswer: 28*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 102, 154, 206, 258, 310?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12358 + 12357.9859866. What is g rounded to four dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/2)\/(f\/((f*f**25)\/f)))\/(f**(-1\/7)*f**(-11)) assuming f is positive.\nAnswer: f**(471\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 3, 0.8, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -24*p**3 - 74*p**2 + 16*p - 20. What are the prime factors of u(-14)?\nAnswer: 2, 3, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09778 rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48404 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 + j**3 + 3 + j + j - j. Let g be m(3). Let f(a) = 2*a**2 - 7*a + 4. Is f(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -3*x + 8. Let u = 0 + x. Let q be (3\/u)\/((-1)\/(-2)). Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**5\/10 + 9*i**4\/8 + 16*i**3\/3 + 14. Let j(z) be the third derivative of w(z). Let r(b) = -b + 2. What is 2*j(q) - 27*r(q)?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 47 times 13.78\nAnswer: 647.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/((n**9*n*n)\/n)))\/(n\/(n\/(n**(2\/3)*n)))*(n\/n**(1\/10))**(1\/7))**13 assuming n is positive.\nAnswer: n**(23101\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53646 and 126.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -325*f**3*z + 141*f**2*z + 2*f*z + 5042*f + 3*z wrt f?\nAnswer: -1950*f*z + 282*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k - 36. Let o be h(-7). Let r(g) = g - 10. Give r(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from ubbbpupuupuuuuxbxpp.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 6:33 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2 = -2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 211*f + 22941. What is t(-291)?\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, d: 3, j: 7, e: 1}. Give prob of picking 3 d and 1 e.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*g**2 + 1 + 8 + 4 + 26*g**2 + 21*g**2 - 92*g.\nAnswer: -3*g**2 - 92*g + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 20*d**3 + 8*d**2 - 3. Let b(n) = -13*n**3 - 5*n**2 + 2. Let i be (0 - 3 - -97)\/2 - 1. Let f = 41 - i. What is f*s(q) - 8*b(q)?\nAnswer: 4*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 + -43.4. Let u = v - -0.4. Put u, -3\/7, -0.4 in increasing order.\nAnswer: u, -3\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 1081.\nAnswer: 6\/1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582683 is divided by 51?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (3\/4)\/((-14)\/(-168)) and 297?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 3*v**2 + 6*v - 9. Determine l(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 + 84. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttq when three letters picked without replacement from rqqrrtqrrrqrrqqttq.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**2 + 2*z**2 + 3*z**2. Let c(t) be the first derivative of t**3\/3 + 870. Give c(k(h)).\nAnswer: 81*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1683.493 meters to millimeters.\nAnswer: 1683493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*q - 3*o = 17714, -2*q - o + 8862 = 0. What is the second derivative of -11*r**4 + 36*r - 4430*r**2 + q*r**2 wrt r?\nAnswer: -132*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 7*g**2 + 6*g + 2. Let h(y) = y + 2. Let z be h(-8). Let d(v) = 2*v**2 + 1. Calculate the remainder when d(1) is divided by o(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agggaggggg. Give prob of sequence aag.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**4\/4 + q**3 - 3*q - 947. What is w(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-4)\/(-160) + 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-210)\/14)\/(-5)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(30)\/(sqrt(216) - sqrt(6)).\nAnswer: sqrt(5)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*y - 30*y + 11*y)*((-1 + 0 - 6)*(4*y - 3*y - 2*y) + 2*y + 2 - 2).\nAnswer: -315*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236 = 182*g - 1351 - 1069 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.648 + 3.048. What is the nearest to 0 in -0.5, j, 3\/7, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*s + 6*s + 4*s to the form w*s + d and give w.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 4*f + 12 = 0, 0*f - 2*f = -2*r - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.00094 or -1\/23?\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72 - 72) + 78 + -31?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1641920500 to the nearest one million.\nAnswer: 1642000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27\/14 - -10\/7. Let t = -0.052 - -30.052. Let j = t + -31. Which is the third biggest value? (a) j (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gdttgodtoogtdqordoot. What is prob of sequence dqgd?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 0*j**2 + 0*j**4 - 1 - 1\/10*j**6 + 1\/5*j**5 + 0*j**3 - 2*j - 1\/42*j**7. Factor v(p).\nAnswer: -p**3*(p - 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 (base 9) in base 2?\nAnswer: 11110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) -16\/3 (c) 0.05 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1399037 > -6995191\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 21, -9, -61, -141, -255, -409, -609?\nAnswer: -861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**2 + 23*c - 32. Let f be m(6). Let s = -9 - -9. Let b = 0.2 - s. What is the nearest to b in f, 2, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 9*l - 18 = 0. Suppose -l*r + 7*m = 3*m - 178, 356 = 4*r - 5*m. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3424 and 622928?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 80*s**2 + 5*s + 5. Let o(q) = -40*q**2 - 2*q - 2. Let l(u) = -6*j(u) - 15*o(u). Let h be l(2). What is h rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 0, -5*o - 317*q + 75 = -321*q. What is the highest common factor of 2475 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-2) + -1 - 0. Let i = -0.1 - -4.1. Let g = 3.8 - i. Sort r, -0.4, g.\nAnswer: -0.4, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*(sqrt(1573) - (sqrt(1573) - ((sqrt(1573) - (0 + sqrt(1573))) + 2))**2 - sqrt(1573)) + 0 + -2.\nAnswer: -3153 + 88*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**5\/20 + d**3\/2 - 21*d + 5. Let t(c) = -c**3 - 2*c. Determine 2*g(j) + 5*t(j).\nAnswer: -3*j**3 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3670 + -10627?\nAnswer: -14297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-4)*48\/36. Solve m = w*m - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 2\/23, 24, 150, 6.4?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*10*1\/10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*v - 9. Let a = 119.54 + -121. Let o = a - -1.46. Put 4, -3\/7, v, o in increasing order.\nAnswer: -3\/7, o, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*k - 20 = 0, -5*k = -4*h + 2*h + 10. Suppose h*i - 20 = i. Suppose i*g - 5*u + 6 = 31, 4*u = 5*g - 23. Solve 0 = g*p + 3 - 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37259 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*f - 3*f. Is -1 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a = -5*x + 47, -1628*x = -3*a - 1625*x + 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 15*l**2 - 3*l. Let a(s) = -s**3 + s. Let i(g) = 3*a(g) + t(g). Find the third derivative of i(z) wrt z.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(-3*b**2 + 5 - 4 + 5).\nAnswer: -6*b**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -44*d**2 + 2. Let s(r) = 7*r + 217. Let q(g) = -8*g - 186. Let k(w) = -7*q(w) - 6*s(w). Calculate k(a(j)).\nAnswer: -616*j**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*c + 38*c - 2*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 166537 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9163 + -9166. Let q(u) = u**2 + 3*u - 3. Let r be q(-4). What is the third biggest value in -2, r, 2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23\/225 + 17381\/4950. Let f = -2237 + 22427\/10. Calculate the common denominator of i and f.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 36 = 2*d, 5*m - 2*d + 20 = 7*m. Let v = 0 + -1. Put v, 0, m, -0.1 in decreasing order.\nAnswer: m, 0, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144540 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Let v(r) = 3*r**5 - 3*r**4 - 17*r**3 - 13*r**2 - 2*r. Let o(i) = i**5 - 2*i**4 - 8*i**3 - 6*i**2 - i. Let g(x) = k*v(x) - 5*o(x). Factor g(j).\nAnswer: j*(j + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o**10\/o))\/o)*o\/(o\/o**(-2)))\/(o\/((o*o\/(o*o\/o**14))\/o)*o**(-11)) assuming o is positive.\nAnswer: o**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - -4 - (2 - 10). Factor -15*g**2 - 12*g + 8 + j + 10*g - 5*g**3 + 7*g.\nAnswer: -5*(g - 1)*(g + 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 - 283*k - 26 + 77 - 23 as l + z*k and give z.\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1743 and 11454.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2\/7 + 81136*u\/7 - 649216\/7 = 0. Calculate u.\nAnswer: -40576, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1\/4 (b) 30.9 (c) -1 (d) 0.3 (e) -12.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 13944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9310 and 540.\nAnswer: 5027400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -51, -38, 4, -1\/5, -2\/7 in increasing order.\nAnswer: -51, -38, -2\/7, -1\/5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -22, -32, -46, -64, -86, -112, -142?\n\"Answer: -2*u**2 - 4*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 218956?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*5\/35*-7*3\/48?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y - 15. Let q be k(-10). What is the highest common divisor of 10 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51653183 times -0.9\nAnswer: -46487864.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 3:51 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (31 - 14) + -9 + 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeccceegeeggeeeee. Give prob of picking 2 e and 2 g.\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23417346*p**2 + 23417346*p**2 + 2*p - 2*p + 20*p**3.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**2*i**3 - 353*h**2*i**2 - 3295*i**3 wrt i.\nAnswer: 6*h**2 - 19770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - 971. Let w(r) = r**2 + 42. Calculate w(h(f)).\nAnswer: 4*f**4 - 3884*f**2 + 942883","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*f. Suppose f = -5*s + 58 - 38. Is 1214\/14 - s\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-21) + (-2)\/(-7). Factor -t**2 + 5*t - 3*t + g - 1.\nAnswer: -(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105 - 1689\/16. Calculate the common denominator of x and 9\/28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59557961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, -1844, 3 in descending order.\nAnswer: 3, 1, -12, -1844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 965025.6 millilitres?\nAnswer: 965.0256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2478*q + 1637 wrt q.\nAnswer: -2478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 185*w**3 - 184*w**3 - 1 + 5*w**2 - 3*w**2 + 3 - 6*w**4 + w to s*w**2 + h*w**4 + m + j*w + g*w**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i**2 - 3*i - 9. Let f be d(-4). Suppose 3*p + h - f = -h, 2*p + 3*h = 71. List the prime factors of p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1137*b**2 + 2*b - 1. Let c(u) = 379*u**2 - u. Let i(k) = -17*c(k) - 6*h(k). Let y be i(4). What is y rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*k + 51*k - 11619 - 3042 = -2982 for k.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**2 - 6*b**2 + 364*b + 3262*b.\nAnswer: -10*b**2 + 3626*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/12308 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 214 and 13054.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 13 + 8 - 21 - 93*b. Let o(q) be the third derivative of q**5\/60 - 45*q**2 - 3. Determine o(d(k)).\nAnswer: 8649*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 g, and 2 y when four letters picked without replacement from bbbbbbfybbgyb.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2036997329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -35521 (base 6) to base 7\nAnswer: -21022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/2)\/((-154)\/(-308)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2 + 9185721*r - 9185718 = 0. What is r?\nAnswer: 1, 3061906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-3))\/((-504)\/(-1134))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00514705 to four dps.\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1745 divided by -1745?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 294*b + 11744. Give r(-40).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -8583852 and -8583852 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 3305, 0.3, -1, -4, 2\/7, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 2:53 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76*5.\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 456770856 to the nearest integer?\nAnswer: 21372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -950 + 597. Let f = s + 507. What is f rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*d - 480, 2*a = -5*d - 0*d + 240. Suppose 0 = 4*m - 12*m + a. Calculate the smallest common multiple of 46 and 216\/15 - (-3)\/(m\/(-2)).\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 559001.556 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29478301?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {r: 16, h: 4}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4, -24, -48, -76, -108, -144, -184?\n\"Answer: -2*y**2 - 14*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + q**2 + 6*q + 3. Let a be r(-2). Let t(w) be the second derivative of 0 + 0*w**2 - 1\/3*w**3 + a*w. Let s(k) = -k**2. Calculate t(s(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.862 - 7.515. Let d = v + 4.47. Let w = d - 1.477. What is w rounded to one decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -96 in increasing order.\nAnswer: -96, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -74, -166, -292, -452, -646, -874?\nAnswer: -1136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2076058 or -2076056?\nAnswer: -2076056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522904635.\nAnswer: 3, 5, 11, 1056373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 11*z. Let d be r(10). Let x(h) = -220*h**2 + 106*h**2 + 110*h**2 - 15 + 21*h + 2*h**3. Is x(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 172 = -4*t. Let u be -1*(-1)\/(1\/t). What is the third derivative of 11*g**2 + 172*g - u*g + 10*g**3 wrt g?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6479401?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10415.6 + -10416. Let x = 0 - -2. What is the smallest value in x, -4\/3, a, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 5*z**2 - 4*z + 5. Let h be s(4). What is the units digit of ((-17)\/(-5) + -3)*h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.023*-107.6\nAnswer: -2.4748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4 = 2*o - 10, -3*s + 2*o = -6. Solve 0 = 4*m + 4*x - 12, s*m - 2*x + 4 = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, a: 5, z: 3}. Give prob of picking 3 a.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1129 - ((-27)\/36 - (-7)\/4). Find the common denominator of (-2)\/(-7) - j\/308 and -145\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -5*d - 7, 15*d - 11*d + 6 = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13500108 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 11*d + 7. Let s be w(12). Let t be 0\/(-1)*(-1 + (-10)\/s). What is the closest to t in 2\/5, 1, 6\/11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*-2*4)**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.526342\nAnswer: 0.0526342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 27*n - 12. Let g be r(-6). Suppose 8*b - g = 6*b - 2*m, -5*m = 3*b - 281. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35741*o**2*x**2 + 2*o**2*x + 2*o*x - 4407042*x**2 wrt o.\nAnswer: -71482*o*x**2 + 4*o*x + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*o + 2*f - 207 = -940, -2*o + 5*f = -18 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u**3 - 5*u**2 - 6*u - 307. Let z(v) = 164*v**2 - 308 - 168*v**2 - 4*v**3 - 5*v + 0*v. Let m(q) = 3*k(q) - 4*z(q). Is m(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1bc (base 14) to base 12\nAnswer: -262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from {q: 7, j: 1, d: 4, m: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -270.27 - 2.73. Let r = -275 - i. Let l = 0.08 + 3.92. Sort 1\/2, l, r, 2 in descending order.\nAnswer: l, 2, 1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y - 1. Let s(g) be the third derivative of g**5\/30 + 57*g**2. What is v(s(n))?\nAnswer: 8*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 33*n**2. Let s(j) = 2034971*j**2. Determine s(i(v)).\nAnswer: 2216083419*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-8) + (-9)\/12*-1. Let u = 3698 + -3638. Put 2, u, 0, m in ascending order.\nAnswer: 0, m, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 238070 and 140.\nAnswer: 476140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43658232 and 52348?\nAnswer: 43658232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -9, 0.6, -1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - (3\/(-11) - 8739406\/(-209066)).\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 382*l**3 + l**2 + 349*l + 348. Give o(-1).\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-4) + (15 - 3)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -542*y + 2 - 4 + 2 + 19*y in the form p + q*y and give q.\nAnswer: -523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 24.7641\nAnswer: -123.8205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217, 214, 211, 208?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.0024 (b) -5 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1569100\/62764 + ((-32)\/(-2))\/2.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 9*f**2. Let s(g) be the second derivative of 0 + 2*g + 1\/20*g**5 + 0*g**3 + 0*g**2 + 1\/2*g**4. Suppose -d - 16 = -9. Give d*s(v) + 5*r(v).\nAnswer: -2*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -3*i**5\/20 + i**4\/6 + 2*i**3 - 4*i**2 + 72*i. Determine m so that z(m) = 0.\nAnswer: -2, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (21\/(-9))\/(2\/36). Let k be (-825670)\/(-15)*z\/4. Let h = k - -227969. What is h rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**2 + 6*h. Let z(d) = d**2 - d. Let m(j) = -r(j) - 6*z(j). Let k(f) = -2*f. Calculate k(m(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3*6\/5*10\/(-9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -6. Let v(d) = -2*d. Let n be v(i). Is 10 a factor of (-62)\/(-6) - 4\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -11182, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49.05 - 49. Let m be 0 + 46\/(-72) + (-18)\/(-24). Which is smaller: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(2\/(-4)) - 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s - 3*b - 45 = 0, -4*s - 4*b + 36 = 0. Suppose p - s - 9 = 0. Suppose p - 9 = 3*i. Calculate the greatest common factor of 44 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 7 = -z. Let o be -4 - 2\/(z*(-6)\/63). Solve 5*r = 4*j - o, -3*j - 31 + 7 = 5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44150941 * -10.\nAnswer: 441509410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15175438*c**2*k - 11322820*c**2 with respect to k.\nAnswer: 15175438*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11439022 divided by 817073\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 848 divided by 135907?\nAnswer: 848\/135907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.27248ml to litres.\nAnswer: 0.04827248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159143 is divided by 830.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88 + 122. Let p be 4\/g - (336\/(-34) + 9). Solve x - q - 5 = 6*x, -x - p = 4*q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 - 74. Let u(f) be the second derivative of 1\/21*f**3 + 0*f**5 + 0*f**y - 1\/147*f**7 + 2\/105*f**6 - 2*f + 0 - 1\/21*f**4. Determine d so that u(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1749, 1094, 11, -1494, -3415, -5746, -8481, -11614?\nAnswer: -15139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((36\/(-8))\/(-3))\/(8\/(-14))*(-12740)\/9555.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 83 - 37 - 37 + 7*q + 2*q**3 - q**3 + 5*q**2. Let y be h(-4). Let k = 0.1 - -4.9. What is the smallest value in 1\/4, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-216)\/4)\/9 - 2*(-44235)\/6. What is the greatest common divisor of 51 and t?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12554*c**3 - 5*c**2 + 394390*c wrt c?\nAnswer: 75324*c - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -4726?\nAnswer: 4726.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 162111 = -5*x, -45*x = 2*p - 43*x - 162104. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 174, -10\/3, -10, -2\/13, -1\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*d = 119*d + 405 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2679863?\nAnswer: 17, 157639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 b when two letters picked without replacement from ajktb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006414649 rounded to 7 decimal places?\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2357*n - 1533*n = -1680*n - 2373*n + 209711 for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -156 or -155?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 924, 843, 758, 669, 576?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.09 + 0.91. Which is smaller: d or 8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -174.389 + -1.611. What is the biggest value in 0.4, 1\/8, t, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69110, -138165, -207216, -276263?\nAnswer: -345306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 3 (c) 56 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d + 2*z + 4 = 0, 2*d + 2*z - 6 = 0. Let m = 132 + -63. Suppose 0 = d*p + p - m. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 + -87. Calculate the remainder when 50 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 22. Let h = 5.04 - 0.04. What is the third biggest value in x, h, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 229 - 239. Let o = -3 - -3.2. Sort -2, o, y, 0.1 in ascending order.\nAnswer: y, -2, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-50)\/1 - -2 - 2\/(-2). Let t = 45 + r. Put 4, t, -4 in increasing order.\nAnswer: -4, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -48, 7.\nAnswer: -48, -2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a hour in minutes?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 2 - (6283242\/(-303820))\/(-7). Let x = v + -1\/6905. Calculate the common denominator of -1 + (-141)\/18 + 3 and x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o**2 + 7*o + 1. Let a be j(-3). What is the third derivative of a*f - 25*f**4 + 31*f**2 - 19*f - 15*f wrt f?\nAnswer: -600*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3)\/j*j\/(j**(3\/4)*j*j*j))\/(j**(-2)\/j**(1\/7)) assuming j is positive.\nAnswer: j**(-191\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 2)*(-11)\/(-22). Solve -3*f - 2*f + 20 = t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -91280, -91293, -91306, -91319?\n\"Answer: -13*j - 91267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 1950.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*199\/(-11940)*(-3)\/2?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1807200 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 0. Let k be g*(-2)\/12*-36. Let b be 192000\/((k\/400)\/(-3)). What is b rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 0)\/(5\/(-220)). Suppose 14 = -3*o + s. Solve o + 2 = -4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**2\/2 - 43*s - 12. Let u(t) = -2*t**2. Determine a(u(n)).\nAnswer: -2*n**2 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**5\/60 + 3*c**4\/8 + c**3 - 6*c**2 - 9. Let y(q) be the second derivative of h(q). Determine y(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/(-56) + (-1)\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107309533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002485246 to 7 dps.\nAnswer: 0.0000249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-224)\/392 + (-48)\/14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1396635671 + 198934.\nAnswer: 198933.8603364329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -22718\/2671 less than or equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - b - 12. Let a be (b - 2) + (-7)\/4. Let l be ((-17)\/(-51))\/(2\/(-6)). Is l greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen quarters of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + -2 + 0\/1. Suppose 2*v - 3 = -3*h, -2*v - z*h + 4 = -0*h. Let a(i) = -8*i - 6. Let s(q) = 47*q + 39. Let u(f) = 6*a(f) + s(f). Calculate u(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(80)\/sqrt(64))\/(sqrt(256) - (sqrt(256) - sqrt(256)*2)))**2 + -1).\nAnswer: -12273\/4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 4*q + 5*q)*(-2 + 3 + 3)*(-13*q**3 + 1 + 13*q**3 + q**2 + q**4 + (-q**3 + q**3 - q**3)*(-3*q + 5*q + q)).\nAnswer: -48*q**5 + 24*q**3 + 24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 31*h**2 + 26*h - 306. What are the prime factors of z(29)?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 1. Suppose 3*x - 6 = 5*v - 0*v, x = -v + 2. Let b be f(v). Solve 0 = 3*i - 2*r + b + 3, 3*r + 16 = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2*u + 2*u. Solve u = -3*q - 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 divided by -1635?\nAnswer: 27\/545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 539983547 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 861*s - 6924. Give y(8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 47 - 105 = -4*y, 3*y - 138 = -3*b. Let d be y\/70 - (-1 + 29708\/(-20)). Round d to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 325845943 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/1155 + -3407\/33495. Let x = -29 + 33. What is the smallest value in x, -0.5, o, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -4, 3\/2 in descending order.\nAnswer: 44, 3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {u: 5, m: 1, f: 4, x: 5}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3414 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4*-109.5889\nAnswer: 438.3556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -82625160 divided by -20656290?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 143152.\nAnswer: 5582928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*t + 4081 = 361*t - 201*t for t.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -35143 (c) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 26*w = 45, 5*n - 4*w = 44826. What is the smallest common multiple of n and 18?\nAnswer: 26874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16080821 - 16080821 + 10*g**3.\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 5 + -1 + -21 + 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/11, -79, 5\/2, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 546 and 0.18567.\nAnswer: 101.37582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (268 - 209 - (6 - -1)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (-8 - -20) - 2) + -4 - (-40 - -52).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**5\/20 - k**4 + 2*k**3 + 23*k**2\/2 - 18*k. Let i be y(11). Is 51\/i + (-1 - 526\/(-4)) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**2\/4 + 42189*h\/2 - 593303907\/4 = 0.\nAnswer: 14063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-4)*14\/(-21))\/((-3)\/(-174))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 5*m + 6. Let g be l(6). Let q be (-7)\/((-2695)\/224) - 16\/88. Which is the nearest to g? (a) 0 (b) 7\/9 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2936241260.079 and -6.\nAnswer: 2936241254.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75 + 88 + j**2 + j**2 - 12*j - j**2 + 0*j to b + n*j + m*j**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3224167335 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 749014 and 490.\nAnswer: 3745070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 3:07 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, e: 1, v: 1, l: 1, d: 1}. What is prob of sequence ed?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2\/14)\/(9\/(-63))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - -7. Suppose -38 = -z + 3*c, -2*c = 2*z - z - j. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p - 4*t = -19, t = 4*p + 13. Put -1\/3, p, -4 in descending order.\nAnswer: -1\/3, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*g - 703 = 0, 338 = -3*u + 5*g - 80. Let s = 145 + u. Solve -d = s*d - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76703019 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 r when two letters picked without replacement from {f: 17, r: 2}.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*5*(((sqrt(2736) - (sqrt(2736) + 1 - sqrt(2736)) - sqrt(2736)) + -1)**2 + -2)*6*-1.\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/55821384 and -139\/1312536.\nAnswer: 948963528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*h**3 + 23*h**3 - 5 + 6)*(33*h + 13*h - 66*h)*(0 + 1 - 3).\nAnswer: 1960*h**4 + 40*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 222997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16315779 divided by -440967.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + 2 + 1 + sqrt(448) + 2*sqrt(448)*1)**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -0.06928?\nAnswer: 1.93072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102239950?\nAnswer: 2, 5, 19, 107621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1178 = -76*r - 113 - 1217 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -66*y - 21. Is x(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -4 - (8 + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*h**3*l*r**3 - 2*h**3*l*r**2 + 2*h**3*l + 11*h**3*r**2 + 12*h*l*r**2 - 13415*l*r**3 - 1 wrt r?\nAnswer: -84*h**3*l - 80490*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 200 by -100.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jujj when four letters picked without replacement from bbbmbmujxjmbbxjjuujj.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*-2*(-10)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5075 + -5061. Solve 0*d = -l*d + 28 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50547.09 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*f**2\/7 - 107150*f\/7 + 23812\/7.\nAnswer: -2*(f + 5953)*(9*f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.01265 and -16179?\nAnswer: 16179.01265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*d**3 + 57*d**3 - 2270*d + 34*d**3 + 2270*d.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*b - 4. Let n be (18\/26)\/3 + 0. Let y = -1\/52 - n. What is the nearest to y in b, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 13. What is i(17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*y - 4505 = -55241. Calculate the greatest common factor of y and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23418851 rounded to three dps?\nAnswer: 0.234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 300\/(-180)*(-4)\/(-10)*-3. Let 276*q + 4*q**4 + 36*q**o - 268*q - 48*q**2 = 0. What is q?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(12\/3)*(-8)\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 20 = 4*z. Suppose 0 = z*o - o. What is the units digit of (-1 + (o - -3))\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 223*f**2 - 221*f - 315. Give b(222).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 4*w - 6. Let l be (0 - 1)*5 - 2. Let m be h(l). Suppose 11 + m = 2*k. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b - 10. Let l be s(6). Suppose 0 = -l*c - 0*o - 5*o + 243, 599 = 5*c + 4*o. Let a = c + -85. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(4*5\/60). Solve -h - r = -y - 6, -y + 4*h = 15 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/2, -439.\nAnswer: -439, -5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znz when three letters picked without replacement from {n: 5, p: 2, s: 1, z: 6, o: 1, u: 1}?\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 17*z**3 + 8*z**2 - 13. Let i(u) = 4*u**3 + 2*u**2 - 3. Let q be (6\/(-5))\/((-9)\/(-45)). Let x(j) = q*a(j) + 26*i(j). Solve x(v) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 9 - (51 + -53)) + -22\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3, 1, 1, -9, -35, -83?\n\"Answer: -x**3 + 4*x**2 - x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - k + 7. Determine u(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 3. Calculate the smallest common multiple of s and (-2)\/(-2 - 2\/(-2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126 + 24\/(33 + 1620\/(-48))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -505\/3976 - -1\/497. Suppose -2*f = 11 - 1. What is the closest to 2\/7 in -1\/4, k, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648372831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 0) + 2\/(-1). Let g = 38 + -115\/3. Let u = -4352\/15 + 4343\/15. Which is the closest to g? (a) -1\/3 (b) q (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 8. Let i(w) = 5*w + 13. Let r be i(y). Let a = r + 20. Which is bigger: -5 or a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -8 + 2 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17121, 35522, 53923, 72324?\nAnswer: 90725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/24*-6*-8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.05, -5, 0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.024.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (147 + -136 - (-1 - -13)) + (-1 - -9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from {p: 1, t: 1, n: 3, u: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1070 = -36*x + 4294. Calculate the remainder when x is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {i: 2, o: 1, l: 3, p: 1, u: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/60 and 37\/749590.\nAnswer: 4497540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-725)\/25 + 46 + (8 - 2022\/78)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -370?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7 = -y, 5*r - 2*y + y = 9. Let t(q) = 2*q - 2*q - 3 + q**r - q + 2. Let v(f) = f**2 - 2*f - 2. Determine -2*t(a) + v(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -17*g**2 + 566*g - 120. List the prime factors of a(0).\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-2))\/((-4)\/8). Let v = b + 0. Differentiate -2 - 2 + v + 2*m with respect to m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -169, -157, -137, -109?\n\"Answer: 4*x**2 - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-10 - -1 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, c: 3, h: 6, q: 3, i: 1}. What is prob of picking 1 h, 2 q, and 1 i?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:00 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/10 - 2452729*t\/10 + 2698014 = 0.\nAnswer: -2452740, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 5*z - 280. Calculate the remainder when z is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**5\/9 + 82*d**4\/9 - 572*d**3\/9 + 500*d**2\/3 - 178*d + 66 = 0.\nAnswer: 1, 3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 + 13*m**2 - 9*m. Let w be o(-7). What is the highest common divisor of 63 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*b - 2, 3*b = 4*b + 5*x - 31. Suppose a + 0 = 3*c + 9, 0 = 4*a + 4*c - 4. Suppose -b = a*y - 4*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.3 - -7. Let h = 215\/4 - 16567\/308. Let c = 199\/1155 + h. What is the second biggest value in c, 4\/3, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*-20.7760028\nAnswer: 124.6560168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 2*f**3\/3 + 23*f**2\/2 + 19*f + 41. Is l(-12) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*20\/25)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3760*n - 79067 = 891*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 1 + (7 - (11 - 9 - -17)) + -6.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1738\/15589 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**3 + 2*w**3 - w**3 + (4*w + w - w)*(5*w**2 - 4*w**2 - 4*w**2) - 2 + 2 - w**3.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 204916?\nAnswer: -204915.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a minute?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*q + 7*q - 3*q + (1 - 7 + 2)*(2*q + 2*q - 3*q) - 1 - 3*q + 2 + q in the form a + c*q and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkuaukkaakukk. What is prob of sequence uaaa?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(-14)*a**4*a*a*(a**(-1\/2)*a)\/a*(a**(-2\/5))**(-2\/3)*(a\/(a*a\/a**6))\/(a*a*a\/(a**6\/a)*a) assuming a is positive.\nAnswer: a**(-67\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -726263064 by 242087688.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15628*l + 22682*l - 52634*l.\nAnswer: -14324*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -383, -397, -421, -455?\n\"Answer: -5*s**2 + s - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6525 = -3*h + 12*h. List the prime factors of h.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*o + 565, -4*o + 12*m - 6*m = -1178. What is the highest common divisor of 8 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 8:24 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 4\/25409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 96671 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 310, 335, 350, 349, 326, 275, 190?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 7. Let q = 5 + s. Let k(g) = -5*g**2 + 2*g - 1. Let r(t) = 7*t**2 - 18*t**2 + 1 + 12*t**2. Determine q*k(f) + 3*r(f).\nAnswer: -2*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.22? (a) 1\/11 (b) 1 (c) -1\/5 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + 2879?\nAnswer: 2872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7 = 5*n + k, 4*n + 2*k - 6 = 0. Let r(q) = q**3 + 8*q**2 - 24*q - 35. Let d be r(-10). Which is smaller: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + -1 - 114)*(-13 + 7). Let a = l + -694. Solve a*w = -3*u + 16, -2*u + 7*u - 16 = 2*w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9938559 micrometers in kilometers?\nAnswer: 0.0000000009938559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = 2*q - t, -8*t = -3*q - 11*t + 333. Let l = q - 83. Is l < 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n**3 - 8*n**3 + 13*n**3.\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 26*c + 23*c = 3, -3*a + 9 = -4*c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.082, 0.5, -2\/199?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/30)\/(84\/105))\/((-793)\/1464)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 - 15*t + 8. Let q = 44 - 37. Let x be w(q). Solve 0 = k + 2*a - x, -2*a - 13 = 5*k + 2*a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -635*r**4 + 635*r**4 + 11*r**5 + (-3*r**4 + r**4 + r**4)*(-2*r + 1 - 1) - r**5 - r**5 + 0*r**5.\nAnswer: 11*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -9*q**2 - q + 7. Let o(y) = -4*y**2 - y + 4. Calculate 13*o(a) - 6*z(a).\nAnswer: 2*a**2 - 7*a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r + v + 12 = 0, v - 36 = -3*r. Let y = 20 - r. Let u = -27 + 39. What is the lowest common multiple of u and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -32089?\nAnswer: -3208b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 1152708*b + 96 = 1152709*b, 5*i - 3*b - 112 = 0 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 986 + -371. Calculate the greatest common factor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 13945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {u: 7, b: 12}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 4*q + 36. Let b(t) = -9 + 17 - 15402*t + 0 + 15404*t + 2. Determine b(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 0*u - 3*u. Let w(l) = -2*l + 7. Let d(z) = -135*z + 490. Let x(b) = -5*d(b) + 350*w(b). Determine k(x(f)).\nAnswer: 50*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 15 = -4*x. Solve -8 = -5*f + x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 240*a - 4064, 8*x - 5*a + 101 = -3*x + x + 6*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2887*z + 46130. Let p(n) = -n. Calculate k(p(a)).\nAnswer: -2887*a + 46130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197666 divided by -66537?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267, -248, -193, -84, 97, 368?\nAnswer: 747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -7 (b) -3 (c) 4 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Let i be 1 + 1 - 114\/58. Let k = -55\/87 - i. Which is the closest to k? (a) j (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3747 - -18798\/5. What is the common denominator of f and 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81736*-4\nAnswer: 326944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 36 - 147 = 0. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -11. Which is bigger: -13 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101012010 - 200?\nAnswer: -101012210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s. Suppose -f - 6*a + 3*a - 2 = 0, -5*f = 5*a. Suppose -5*w + 0*w = -5. Let m(p) = -p - p - f + 1 - w. What is -6*j(g) - 2*m(g)?\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-9) - (-102)\/(-27). Let f = m + 10. Let j(b) = b**2 - 6*b + 4. What is the units digit of j(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10685897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34.012 + -0.388. Let w = -34 - j. Let f = 1 - -3. What is the biggest value in w, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -272*s**2 - 1622*s - 13. What is u(-6)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98595589?\nAnswer: 98595589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -9*b + 14. What is i(7)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, l: 1, v: 1, p: 2, e: 1}. Give prob of picking 2 p and 1 e.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672870471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, p: 1, u: 3, l: 1, k: 1, a: 5}. What is prob of picking 1 a, 1 n, and 1 p?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/8 and -53\/600?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000001100111 (base 2) to base 14.\nAnswer: -3047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -40001*t**3\/6 + 4*t**2 + 13*t. Let r be y(8). What is r rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j - 5. Let m be z(0). Let w = -1.963 + -0.037. Which is the third smallest value? (a) m (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 16 = 6*w. Suppose 5*r + 16 = w*h, 5*h - 7 = 2*r + 13. Is h - (2 - (-4 - -52)) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 760817 is divided by 108679?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*y**4 + 9*y**4 + 8 + 3*y**4 - 4*y**4 wrt y?\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*(((-1 + sqrt(17) + 5)*-5)**2 - (0 + sqrt(17) + 1 + -5)).\nAnswer: -4147 - 995*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 2*k**4 - k**2 + (2*k**3 - 5*k**3 + 4*k**3)*(-1 + 2*k + 1) - 311*k**2 - 23*k**4 + 311*k**2.\nAnswer: -19*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 0, -3, 283 in decreasing order.\nAnswer: 283, 4, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(3\/4)*z)\/z**4*z**(-2)\/z**(-5))**18)**(-1\/8) assuming z is positive.\nAnswer: z**(-27\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/7*-2)\/((-1040)\/560)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 62252.07 litres?\nAnswer: 62252070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 9:30 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -43*j + 62. Suppose l + 130 = -9*l. What is the units digit of x(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14992880 and 55760.\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1602911 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-364 + 360)\/((1\/(-2))\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 17*s + 64. Suppose -6*j - 20 - 22 = 0. Let i be o(j). Let a(m) = 8*m + 1. Let l(p) = 15*p + 2. Let x = 19 - 8. What is i*l(u) + x*a(u)?\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175152 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**2 - 3*y**2 - 11*y**2 - 4*y**2 as o*y + w*y**2 + r and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*t - 48 = -310*t - h, -h - 12 = -t for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-12)*(-11)\/11.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (sqrt(117) + 0 - ((sqrt(13)*1 + -2 + sqrt(13))**2 - sqrt(13)))).\nAnswer: -208 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. Solve -p*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*d**2 - 276*d**2 - 26*d**2.\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006449872 to seven decimal places.\nAnswer: -0.000645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 15 + -13 - 1*1*-898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**4\/4 + 7*q**3\/2 - 18*q**2 - 95*q. Factor t(z).\nAnswer: -3*(z - 4)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*f - 63*f + 48. What is the remainder when 203 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 u when four letters picked without replacement from sssssssssssu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-2)\/4)*(-8)\/(-32)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 110\/10 - 10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -8*n. Let t(a) = 111*a + 21. Let u(b) = 28*b + 5. Let k(y) = -5*t(y) + 21*u(y). Give -5*k(z) - 21*o(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (1 - 2) + (-57 - (53 - 100)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.66 + 0.65937. Round m to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -208898\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4532 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-84) + (-262)\/(-70). Let l = 172\/45 - q. Which is the closest to -1? (a) l (b) -3\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -2*b - 8, 0 = -4*v - 5*b - 19 + 23 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 11*v + 1 - 11*v - 6*v - 5*v. Calculate a(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/6992 and 33\/1748.\nAnswer: 6992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*m + 126*m - 991452. What are the prime factors of m?\nAnswer: 2, 3, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 21. Let u = -245 + 175. Let w = 78 + u. Which is the second smallest value? (a) o (b) 3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2423131 + -2?\nAnswer: 2423124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6485, -6487, -6489, -6491, -6493?\n\"Answer: -2*x - 6483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 3 - 3)*(17*j**3 + 26*j**3 - j**3) - 2*j**4 - 3*j**4 + 3*j**4 + (0*j**3 + 4*j**3 - 3*j**3)*(j - 3*j + 0*j).\nAnswer: 38*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {e: 3, t: 1, k: 2, q: 4, i: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -370483 + -1?\nAnswer: -370484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 214 + 2*w - 7*w - 6*w - 226. Let d be m(-2). Solve 6*k - k = d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13051\/21 + 621. Which is smaller: c or -1\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21865 and 15799649.\nAnswer: 4373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k - 8. Let v be i(-4). Suppose -v*u = 8, -3*u = t + 2*t - 3. Does 1 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -5.76\nAnswer: -17.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-4))\/(51\/(-1258)). Suppose 16*l = -s*l + 46905. List the prime factors of l.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - l - 19 = 31 - 67, -3*l - 55 = -7*c - 106 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/(-16))\/(1\/4). Let x(k) = 2*k + 9. Let b(z) = z**2 - 3*z - 14. What is the remainder when b(-9) is divided by x(d)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - a + 5. Let k be -4 - (9 + -5) - -11. Determine t(k).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 11*q**2 + 2*q**2)*(-535*q + 6449 - 6449 - 641*q).\nAnswer: -14112*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-12) - (-2)\/8. Suppose -3*g - 21 - 15 = u. Let f = 54 + g. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.5445 - 1.5445. Sort -3\/2, g, -2\/11, 54\/13, 1 in decreasing order.\nAnswer: 54\/13, g, 1, -2\/11, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-3 - -5) + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**5 - s**4 - 12*s**3 + 20*s**2 - 8*s. Let p(y) = 2*y**5 - 2*y**4 - 12*y**3 + 20*y**2 - 8*y. Let o(u) = 2*l(u) - 3*p(u). Factor o(d).\nAnswer: -4*d*(d - 1)**3*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 357 - 356. Let y = 1 - -4. Let b = 162 + -166. What is the nearest to 6 in y, b, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 + (-1 - 9) - 11) + 26\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**7\/56 - g**6\/20 - 3*g**5\/80 + 3*g. Factor o(c).\nAnswer: -3*c**3*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2223 and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1054, 72, 2 in decreasing order.\nAnswer: 1054, 72, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + (sqrt(2) - (sqrt(50) + 1 + sqrt(50) + sqrt(50)))*-5) + 5 + sqrt(5000)*-2*2)**2.\nAnswer: 22080*sqrt(2) + 461329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34010284.\nAnswer: 2, 7, 11, 23, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 469805027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 8024.94 to the nearest one hundred.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 10. Suppose -4*b = -o*b. Let m(x) be the second derivative of x**4\/12 + x**3\/6 - 4*x**2 + x. Determine m(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 1. Let c(a) = 28*a + 21. Let g be 2 - 1 - 2*(12 + -22). Determine g*r(b) - c(b).\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**4\/24 + m**3\/2 - 15*m**2. Let q be s(-4). Suppose 4*i = q*i. Which is the third biggest value? (a) i (b) -5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33*(-6)\/(-63) + -3)\/((-21)\/(-294))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 323.28 and 51.68.\nAnswer: 16707.1104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 371 + -274. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80447274 divided by 2?\nAnswer: -40223637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/7 - 24*x**4\/7 - 304*x**3\/7 - 1170*x**2\/7 - 1809*x\/7 - 918\/7.\nAnswer: (x - 34)*(x + 1)*(x + 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -1\/3*l**4 - 4\/9*l**6 + 14\/15*l**5 + 0*l**2 - 2\/9*l**3 + 0*l + 6. Factor y(r).\nAnswer: -2*r**2*(r - 1)**2*(4*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4161 is divided by 724.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -24738063 divided by 1178003\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 4) + 69 - (3 + (34 - 20)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 223*i - 232*i - 2930 + 2948 in the form g*i + r and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 14 + 4)*(2*g - 2 + 2)*(41 - 124 - 42) to the form u*g + n and give u.\nAnswer: 1500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xaaa when four letters picked without replacement from aaaaaaaxaaxxaa?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1184 is divided by 371.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 263924\/45 or 5866?\nAnswer: 263924\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 7:12 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-15*(-3)\/(-15))\/(21\/(-7))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**3 - 13*m + 9*m + 2*m**3 wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*x - 0*x. Let o be 3*1\/2*16\/3. Let w = -7 + o. Which is the closest to -1? (a) 2\/13 (b) w (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -26*a**3 - 4*a**2 + 10. Let y(b) = -129*b**3 - 21*b**2 + 51. Let t(m) = -11*s(m) + 2*y(m). Find the third derivative of t(n) wrt n.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 1\/6*g**3 + 4*g + 0 - g**2. Give y(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0507 + -0.9493. Let g be 8\/(-27)*6\/(-8). What is the third smallest value in s, g, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0497692 and -0.088?\nAnswer: 0.0043796896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1391, -1386, -1371, -1340, -1287, -1206, -1091?\n\"Answer: a**3 - a**2 + a - 1392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4887046 and 1041609?\nAnswer: 6551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21166247.\nAnswer: 19, 89, 12517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*c**2 - 97*c**2 - 228*c**2 - 13*c**2.\nAnswer: -433*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39154 is divided by 13050.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1296134596 by -6.\nAnswer: 648067298\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + h**2 + 1. Let w be s(1). Let c be 2\/w + 1 + -3. Suppose c = 3*b - 3. Is -1 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745956163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -0.3, -1\/24, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9943\/6213 greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 35*k + 12)*(k - 5 - 2 + 6).\nAnswer: -35*k**2 + 35*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*1*8*9\/144.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20890219*o**2 + 5435*o + 2197?\nAnswer: 41780438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-1*-4 + sqrt(132) - sqrt(132))\/(sqrt(48) - sqrt(768)) + -3*-3*(-2 + sqrt(1100)))**2.\nAnswer: -3216*sqrt(11) + 792980\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**31*x\/(x\/x**(3\/23))*x*x*(x*x\/x**(3\/10)*x)\/(x\/((x*x\/x**(1\/6))\/x)*x*x))**(2\/49) assuming x is positive.\nAnswer: x**(23228\/16905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 135*q*x**3*y + 35*q*x**3 + 105*q*x**2*y - q*x**2 - 2*q*x*y - 7*q + 2*x**3*y - 2*x**3 - 3*x**2*y - x**2 wrt x?\nAnswer: 810*q*y + 210*q + 12*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-4)\/3*4\/40?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 4:05 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -15*u. Let i(d) = -16*d. Give 3*i(q) - 2*v(q).\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 469 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b*s**3*x + 1818*b*s**2*x + 5*b*s - 7*s**4 + 1118753*s**3*x - s**2*x - s**2 - 34*s*x - 6 wrt s.\nAnswer: 18*b*x - 168*s + 6712518*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3424232210 (base 5) to base 6.\nAnswer: -431540143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -90, -352, -790, -1404, -2194, -3160?\n\"Answer: -88*i**2 + 2*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282797 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1969*y**2 - 2826*y - 4079*y + 565*y**2 + 1948*y wrt y.\nAnswer: -2808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b + 5\/7*b**3 + 0 + 9\/7*b**2 + 1\/6*b**4 + 1\/70*b**5. What is u in y(u) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -13. Suppose 3*b + 6 = b - l, 4*b - 4*l = k. Are -2 and b non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12306 divided by -2.\nAnswer: 6153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (114\/76)\/(5\/2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*o + 2*d - 1193, -5*d + 699 = 3*o. What is the remainder when o is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 30654.\nAnswer: 61308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 5*y**2 + 6*y - 3. Calculate p(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3030373 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d. Let u(y) = -y + 30577. What is u(m(z))?\nAnswer: -z + 30577","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*l - 100*l + 10 = 5*k, -2*l = -k + 3. What is the fifth smallest value in 2\/7, 5, l, -85.4, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 3, 2, 64 in descending order.\nAnswer: 64, 3, 2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 5*n - 51, -150 = 4*a - 2*n - 0*n - 76 - 44 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 148 = 2*z. Calculate the remainder when 10*11 + 6\/(1 - 7) is divided by z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6 + 24 = 0. Let s(v) = 259*v + 5186. Let a be s(-20). Find the third derivative of -u*r**a - 14*r**2 + 15*r**6 + r**2 - 8*r**6 wrt r.\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**4\/8 + 3*b**3\/8 = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 4*t**2 - t - 1. Let g(j) = -j**3 - 7*j**2 - 6*j + 4. Let u be g(-6). Let c be d(u). Sort 0, c, 2.\nAnswer: c, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 13 (b) -16 (c) -69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide -3 + (3 - 3 - -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-56))\/((-9)\/(-81))\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-11)\/(77\/(-20)))\/(8\/(-28)). Let g(z) = z**2 + 9*z - 11. What is g(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8403 + 9368. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4056535363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2*q - 2\/3*q**2.\nAnswer: -2*q*(q + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1487 - 1462. Solve z*l - 30*l - 5 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 6:12 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3 + 7 = 0. Let w be 25\/i*(-1)\/(-5). What is the biggest value in -3, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-23)\/((-759)\/1166) - 2\/(-3). Differentiate d - 29 - 161 + 0*q**2 + 0*q**2 + 210*q**4 with respect to q.\nAnswer: 840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213432 (base 5) to base 2.\nAnswer: -1110011000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 536*h + 521*h - 6*h**3 - 3*h**2.\nAnswer: -6*h**3 - 4*h**2 - 15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 - -12020110002?\nAnswer: 12020110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3 - 12*f**2 + 295*f - 750 = 0.\nAnswer: -25, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h + 123. Is 14 a factor of k(26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -29 + 95 - 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 108.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 6. Let g(l) = 7*l**2 + l - 12. Let m be g(-6). Let y = m - 93. Let o be (-3)\/((-81)\/y) - 4\/18. Calculate t(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 34, 0.5, 2\/41, 5?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4 + (-115)\/(-20). Let j be 4\/(5 + -1)*q. What is the second derivative of 3*u + 3*u**4 + j*u - 2*u wrt u?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/3))**(28\/5) assuming j is positive.\nAnswer: j**(-28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -862 + 816665?\nAnswer: 815703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6778765949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39808?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 1844*g - 5346. Calculate p(3).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25640778251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -6982187.67 and 111.18.\nAnswer: -6982076.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -9.7. Let f = -1.3 - -1. What is the nearest to 2\/7 in f, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**18\/z*z)\/z*z*z*z\/(z*(z*z*z**21)\/z*z*z*z)*z*z**(-10)\/z*z*z\/(z\/z**17) assuming z is positive.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -8, 16, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 9*k**2 + 2*k + 20. What is b(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -22331 divided by -1\nAnswer: 22331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 - k**4 + 2*k**3 + 0*k + 2*k**4 + 0*k - 22*k**4 - 640*k**3 + 640*k**3 + (-6*k + 2*k + 2*k)*(-2*k**3 - 5*k**3 + 5*k**3).\nAnswer: -17*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 9*g**2 - g + 12. Let j be f(9). Let r be (-17)\/(-4) - (-2)\/(-8). Put -3, j, r in increasing order.\nAnswer: -3, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -897 + 897. Solve -18*u + 7 - 61 = j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1298577\/378688 - 15\/3904. Let g = u + 109\/2716. Find the common denominator of 47\/16 and g.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 8:01 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*t + 6 + 148*t - 58*t)*(-3*t - 2*t + 7*t - 29).\nAnswer: 14*t**2 - 191*t - 174","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/7812 and 97\/87606.\nAnswer: 1226484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 7 + 17 = 0. Suppose -m*f = -2 - 4. Suppose -2*o = 4*w - 3*o + 3959995, -f*w + 3*o = 1979985. Round w to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n - 3*q = -6, 0 = -q - 5. Let t = 2 - n. Let w be 2 + t + 2 + -2299999. Round w to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*a**2 + 3 + 3*a + 0*a**2 + 2 - a - 6*a**4 - 6 to d*a**2 + t*a**3 + h + k*a + q*a**4 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 4 - 11) + -20?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 826790.424188.\nAnswer: 826787.424188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.37?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 - n**4 - n**3 + 9285*n**2 - 9285*n**2 + 629*n**4 + (2 + n - 2)*(2*n**3 - 5*n**3 + n**3) + (n**2 - n**2 - n**3)*(n + 4 - 4).\nAnswer: 625*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21411\/1098*20\/(-6)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -0.6 (c) 3\/26 (d) 0.543 (e) -0.2 (f) -22 (g) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t**3*u**5 + 25*t**3*u**2 - t**3*u - 90*t*u**5 + 3*t*u wrt u.\nAnswer: -120*t**3*u**2 - 5400*t*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1358465563?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 5*n**2 + 8*n - 12. Let c be x(6). Let d be 11\/5 - 1\/5. What is the third derivative of d*g**4 + 2*g**2 + g**2 + c*g**4 - g**4 wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*q + 327 - 22 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a year in months?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/2060 and -2\/4635?\nAnswer: 18540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 22*y - 82 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 127990801 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 638*c**6*l - 44*c**4*l**3 - 6*c**2*l**3 - 4*c**2*l**2 - 3*c**2*l + 53*c*l + 2*c wrt c?\nAnswer: 76560*c**3*l - 1056*c*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15632, -31270, -46908, -62546, -78184?\nAnswer: -93822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 949701 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 175*l - 3603. Let f(a) = 35*a - 1. Determine 5*f(c) + o(c).\nAnswer: c**2 - 3608","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (30\/(-4))\/(4\/(-8)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3261.603 - 3266. Let l = p + 0.397. Let d be 2 + (-6)\/21 - 2. Which is the closest to d? (a) l (b) 6 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*c - 1 - 462*c**2 - 398*c**2 + 46*c**2.\nAnswer: -814*c**2 + 37*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17e (base 16) to base 15\nAnswer: -1a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61575362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 97272487849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-720)\/(-117) + (-2)\/13. Suppose 0*z - n = -3*z. Solve 0 = q - z*q - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/891 < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1870 + 0.128\nAnswer: 1870.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3792402*j**3 - 261*j + 272?\nAnswer: -22754412*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4674473 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013917 rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 223189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -20*o + 340. Suppose h + 5*r = -o, -3*h + r + 2 = -2. Solve 2*u = -h*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*v**5 + 17*v**2 - 4*v**5 + 4*v**5 wrt v?\nAnswer: 360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 137 = -4*y + 59, r = 3*y - 139. Calculate the remainder when 262 is divided by y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (97 + 110 + 57 + 6)*(2 + 1 - 1)*(s - s + 2*s + (-3 - 1 + 2)*(6*s - 3 + 3)) to the form g + f*s and give f.\nAnswer: -5400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6286, 3625, 20144, 43271, 73006, 109349, 152300?\n\"Answer: 3304*p**2 - p - 9589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107.2 + -100. Round i to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1526 and 252.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/5619180 and 53\/4682650.\nAnswer: 28095900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*-2*sqrt(216))\/(sqrt(6)\/(-3*sqrt(3))*-4).\nAnswer: 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 + 212?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180, 387, 740, 1245, 1908, 2735, 3732?\nAnswer: 4905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = m - 4. Let i(p) = -p - 1. Let y(t) be the third derivative of t**4\/8 + t**3\/3 - 13597*t**2 - 2*t - 5. Give m*i(f) - 2*y(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(2 - (-3)\/(-2)). Let g = -6 - u. Let f = g - -11. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 11:07 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhhj when four letters picked without replacement from jjjhhhjhjhjjjjjjjjj.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 4\/15*l**6 + 2\/15*l**3 + 16\/25*l**5 - 3 + 1\/2*l**4 + 0*l + 0*l**2. Find j, given that x(j) = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 28 = -3*w, 5*a + 3*w = a + 44. Let n = 14 - a. Suppose -5 - 7 = -n*d. Solve d*r = -2*r - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9790 divided by -110?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 9) + 2240\/256.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k + 3*k + k. Suppose -1223*y + 1225 = -978*y. Suppose 0 = 5*c - 0*c - z - 19, -2*z = 3*c - 1. Let m(v) = 2*v. What is c*m(h) + y*q(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5840 by 1460.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12948746 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -294ae (base 16) to base 8.\nAnswer: -512256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -127 - -127. Solve 8*c - c - 35 = q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7385327, 7385319, 7385299, 7385261, 7385199, 7385107, 7384979?\n\"Answer: -l**3 - l + 7385329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1565 = 21*k - 1985 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/8 (b) 5 (c) 2192 (d) -57 (e) 0.1 (f) -22 (g) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 1493 + 71*x - 1789 + 11*x + 361*x**2 - 731*x**2 + 368*x**2 = 0.\nAnswer: 4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 367356 and 759.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*t - 26*t - 40. Let f(l) be the second derivative of 0 - 2*l**2 + 0*l**t + 4*l + 0*l**3 - 1\/10*l**5. What is the first derivative of f(n) wrt n?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003797749 rounded to seven decimal places?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27559*k + 27556*k + 5*b = 58, -k - 3*b = 10 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, l: 1, w: 4}. Give prob of picking 3 w.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by 217?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + (-232)\/(-56))\/((-2)\/2114). Let t = 1008 - w. What is the lowest common multiple of 51 and t?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16864028791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*l + 76, -2*f - 3*f = l - 66. What is the units digit of (l\/(-4))\/(9\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1635240 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -11. Let r(a) = a**2 + 3. Let h(w) = 2*w**2 - 3 + 1 + 4 + 6. Let k(n) = -6*n**2 + 3*n + 696. Let l be k(11). Calculate f*r(g) + l*h(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*c - 2*g, 4*g - 5*g = 4*c - 3. Let q be 5 - (6\/(-6) + c). What is the greatest common factor of q and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5 (b) -0.5 (c) -9 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*v + 75*v - 34914 = 193*v + 267*v for v.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in centimeters?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16200 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*u**3 - 155*u**2 + 140*u + 20.\nAnswer: 5*(u - 2)**2*(8*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g - 3 + 0 - 3*g - 2*g. Determine v(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 divided by 359.\nAnswer: 57\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -229841 plus -1093?\nAnswer: -230934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -457229729, -457229730, -457229731, -457229732, -457229733?\n\"Answer: -i - 457229728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 7. Let t be x(10). Let g = t + 6. What is the third derivative of -4*i**2 - 2*i**3 + 0*i**g + i**3 - i**2 wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*k - 4*k + c, 3 = -2*k + 3*c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 3:10 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/105)\/(2\/24).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/5)*h)**(3\/17))**14 assuming h is positive.\nAnswer: h**(336\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -48b31 (base 14) in base 6?\nAnswer: -3451115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j - 23*j - 42*j = -2024 for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 30. Suppose 5*k - 3*x = x + 6713, -k + d*x = -1333. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -195*m + 2884. Give w(15).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -17*o + 15. Let c be n(5). Let m = -63 - c. Suppose -d = 3*p - 1, 4*d - 18 = 2*p - m*p. What is the remainder when 41 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 538938 and 1467?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15672182.\nAnswer: 2, 7836091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 463402747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -3 - 33. Let j be (-166)\/q*((-18)\/6 + 6). Let x = j - -80. Put 3, 18, x in decreasing order.\nAnswer: 18, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -11*q + 225. Let w be o(20). Solve -4*u = 3*h + 8, -w*h + 0*u - 3*u = 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/(((-906)\/(-11627))\/(36\/(-56))).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 48 (b) -1 (c) -41 (d) 0.3 (e) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 2:30 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (117\/26)\/(29\/(-58)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40669313?\nAnswer: 23, 1768231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 99602500 to the power of 1\/2, to the nearest integer?\nAnswer: 9980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -204*n**2 + 217*n + 266432?\nAnswer: -408*n + 217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 32. Let t(a) = -18*a + b*a + 14*a. Let g(h) = 1 - 1 - 2*h. Give t(g(y)).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - 92065*z + 460276. Determine h(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/7 - 7248405*n\/7 - 1035486.\nAnswer: -3*(n + 1)*(n + 2416134)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 50 = -2*h. What are the prime factors of h\/(-20)*((-1072)\/(-3))\/(-4)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/6*187*93\/527\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 177 = 3*n, -n = 3*n + 5*v - 235. Suppose -2*h - n = 2*h. What are the prime factors of h\/3*56\/(-10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -153, 2319, -6 in increasing order.\nAnswer: -153, -6, 7, 2319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 0 - 2\/35*l**5 + 3\/70*l**6 + 1\/42*l**4 + 0*l - 8\/735*l**7 + 0*l**3 + 5*l**2. Factor c(q).\nAnswer: -4*q*(q - 1)**2*(4*q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*y = 103*y + 5514 + 6546 for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 10) to base 13.\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w = -748. Suppose 57 = -5*v + w. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5\/1534?\nAnswer: 5\/1534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3958274 - 15810010.3958274. Let o = -15810002.00000125 - t. Let q = o + -8. What is q rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 135*h - 257 = 172 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-12)\/14)*(-150)\/(-1575)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18086 and 2.\nAnswer: 18086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 3, -0.05, -17 in descending order.\nAnswer: 3, -0.05, -2\/13, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41437005 divided by 19779.\nAnswer: 2095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -613 - 6?\nAnswer: -621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) -1\/5 (c) -934 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/2)\/((-2)\/(-12)). Let y be g\/(-30)*(-8)\/(-1530). Let i = 17419\/3825 - y. What is the common denominator of i and -61\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 72 = -7*l. Let s be l\/(135\/350)*6\/4. Calculate the highest common divisor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.4, -0.1, 0.5, 0.4 in decreasing order.\nAnswer: 7.4, 0.5, 0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*b**4 + 95*b**3 - 2*b**2*k + b**2 + b*k - 21*b - 3*k + 200 wrt b?\nAnswer: 300*b**2 + 570*b - 4*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7f (base 16) to base 12\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/10 and 83\/376.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h + 5*h - 5*h)*(-47 - 47 + 63)*(1 + 0 + 0)*(-3 + 3 - 1)*(-20 - 30 + 34) in the form o + i*h and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02142 to 3 dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 52*c**5\/5 - 684*c**4\/5 + 624*c**3\/5 + 1168*c**2\/5 - 192*c\/5 = 0.\nAnswer: -1, 0, 2\/13, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 9 + 3 + 2720*u - 2*u**2 + 2 + 6*u**3.\nAnswer: 6*u**3 - 2*u**2 + 2720*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 39*o**2 + 357*o - 97. Let m be s(14). Let v(z) = 3*z**3 + 3*z**2 + 3*z - 1. Let n(i) = i**3 - i + 1. Calculate m*v(q) + 2*n(q).\nAnswer: 5*q**3 + 3*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8*h - 15. Suppose x - 3*m + 1 = -x, -11 = -2*x - m. Suppose -4*d + 5*d - 7 = a, -x*a - d = 3. Let n be y(a). Solve -n = -4*j + 5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -19*m**2. Let u(a) be the first derivative of 131*a**3 + 1760. Give u(x(p)).\nAnswer: 141873*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34\/27 in 0, 13, -1\/12, -0.319, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320*f - 163*f - 158*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -23*n**3 - 4*n**2 + 9*n - 13. Let c(v) = 0 + 2*v - 3 - 5*v**2 - 5*v**3 - v**3 - 32*v**2 + 36*v**2. Give -9*c(o) + 2*x(o).\nAnswer: 8*o**3 + o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 52.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 3*g**2 + 2. Let d = 3148 + -3151. Determine b(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 82*k**2 - 195*k - 4942. Calculate w(-80).\nAnswer: -2142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68691406 and 6186?\nAnswer: 2062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -18. Let g = 6 - j. Let v(f) = -f - 4. Calculate v(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 296, 902, 1820, 3050, 4592?\nAnswer: 6446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -5*m + 863. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1954, 1953, 1952?\nAnswer: 1951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*((-18)\/(-171) + (-42)\/38). Calculate the remainder when 15 is divided by 1 + 3 + (q - -3) + -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 11. Let l = -12 + u. Solve n - 1 = -3*n - l*g, -4*n - g + 11 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*g + 5*g - 11*g)*(660 + 1383 - 713).\nAnswer: 11970*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -33*c - 1. Let f be k(-1). Let j be 30078\/189 - (-36)\/42. Calculate the greatest common divisor of j and f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = w - 53962 - 999, 0 = -4*y - 2*w + 43964. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7405504 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 4253335*o**2 + 4253332*o - 8506668.\nAnswer: (o - 1)*(o + 2)*(o + 4253334)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (952\/(-504))\/(4\/(-108))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + k + 42434 = 0, -7*k - 56607 = -4*g - 0*k. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -285*r + 63. Calculate q(5).\nAnswer: -1362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50782 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000048876 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-78*h - 5 - 11 + 83*h)*(-2 + 3 - 2)*(3*h**3 + 2*h**3 - 2*h**3) to x*h**3 + m*h + p + v*h**2 + n*h**4 and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 31 - 108 + 42*j + 25 + 32.\nAnswer: 42*j + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1030*a = 1005*a + 175 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 9:59 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8155809271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 21. Suppose 5*u = 4*j - j - 104, 2*u = -q*j + 139. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 163*g**3*y + 53*g**3 - g**2*y**4 - 6*g**2 wrt y?\nAnswer: 163*g**3 - 4*g**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -121.5 + 117.5. What is the closest to -0.13 in -0.3, -10, p, 2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 786 and 34?\nAnswer: 13362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -64*f**4 + 157405472*f**3 - 96782505593028*f**2 - 774267600223264*f - 1548540237438016 = 0?\nAnswer: -4, 4918937\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/18057 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -27372039*o**2 + 49605*o + 49605. Let n(b) = -3311*b**2 + 6*b + 6. Give 2*c(w) - 16535*n(w).\nAnswer: 3307*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/4)\/(3\/(-6)). Suppose n*h = 5*h + 4. Let c = 92 - 92. Solve h*i + 13 = -k, -5*i = -c*k + 2*k + 30 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 13*p + 2*p**2 + 1 - 27. Let y be l(15). Suppose 2*q + 3*a - 9 = 0, q + y*q + 3*a - 27 = 0. Solve q = 2*n - 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/((-6)\/(3 - 6)). Solve 4*b - 4*k = -16 + f, 5*k - 13 = 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**8\/560 - 4*b**7\/525 - 7*b**6\/600 - b**5\/150 - 6*b**2. Factor d(v).\nAnswer: -v**2*(v + 1)**2*(3*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -22\/735, -0.3, 9\/5, 5 in increasing order.\nAnswer: -0.4, -0.3, -22\/735, 9\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = o - 368, -3*o + 0*c + 1097 = c. Suppose -u - 2*x + 396 = 0, u - o = 2*x + 42. Suppose -w - w = -u. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.931 + -0.081. Let t = k + -7. Round t to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12208.27 - -0.2?\nAnswer: 12208.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1989848.\nAnswer: 2, 7, 35533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 79*i**4 - 212*i + 9. Find the first derivative of m(a) wrt a.\nAnswer: 948*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -15*o**5 + 96004*o**4 - 156948850*o**3 + 10676246200*o**2 - 186902349375*o + 49084402500 = 0.\nAnswer: 4\/15, 35, 3165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a week in hours?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0 (c) -10 (d) 4 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 1:34 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94 and 282.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**3 - 48*h**2 - 3*h - 3. Calculate m(12).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 827 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: What is the closest to 10 in -35, 1.3, -0.1?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*p + 833 = -84*p for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*x + 10*x + 10*x)*(-2*x + 4*x + 0*x) + 25*x**2 + 31*x**2 - 22*x**2 - x**2 + x**2 - 4*x**2 as b + z*x**2 + s*x and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 89 = -t, t = -0*t - 5. Suppose h - 139 = -2*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + k = 2, -5*z - 4*k = 34000008. Round z to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11022012120 (base 3) to base 10.\nAnswer: 84714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -4, -21, -18 in decreasing order.\nAnswer: 4\/3, -4, -18, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -315, -312, -309?\n\"Answer: 3*j - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*d - 71148 = -79273 for d.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 + (4 + (12 - 7) - 8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*k - 22 = 0, -4*z - 4*k + 14 = -6. Let s be (0 + 8\/z)*5\/10. Which is the fourth biggest value? (a) -3 (b) 0 (c) s (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 14*y**3 - 10*y**2 - 8*y + 6. Let c(u) = u**3 - u**2 - u + 1. Determine -8*c(k) + j(k).\nAnswer: 6*k**3 - 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17\/11 - 142\/99. Let f = -0.2 - -0.65. Let c = f + -0.05. What is the nearest to 0.1 in 1\/11, r, c?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*o - 30 = -3*c, -o = 4. Suppose 2*q = -q + g + 1, 4*q + 5*g = 14. Solve c - q = -5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 2, b: 3, j: 4, s: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290\/145*(-7)\/(-6).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.347 + 14.047. Let h be 44\/(-24) - (-6)\/4. Put -4, c, 2, h in descending order.\nAnswer: 2, c, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32 - 355203?\nAnswer: -355151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -4)\/(-3) + -1. Suppose g = 4*o - 31162779 + 1962779. Round o to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102.4 - 102. Suppose -13*g + 9*g - 12 = 3*m, 0 = m + g + 3. What is the biggest value in m, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 3*s - 24 = 0, 28*j + 5*s - 2307 = -2175 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096477 to the power of 1\/2, to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3\/7 (b) 5 (c) -375\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26ad (base 15) to base 2.\nAnswer: -10000001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 7*z + 1. Suppose 2*n = 2*d + 26, -5*n - 2*d + 43 = 13. Give u(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*n - 60*n + n**2)*(-3*n**2 - 4*n**2 + 5*n**2) + 0*n**4 - 3*n**4 - 2 + 2*n**4.\nAnswer: -3*n**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 11 - 1. Is 3 a factor of 2 - q\/((-2)\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from {k: 3, i: 1, q: 2, l: 4, b: 3, e: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 3*z + 180, r + 0*r - 58 = -4*z. Let d = r + -40. Solve -6 - 10 = 5*g - p, d*p = 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -74 - 14*u**2 + 74 + (4 - 5 + 3)*(2*u + 2*u - 6*u)*(-2*u - 3*u + 2*u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-18 + 12)*100\/750*(-5 - 0 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10556660?\nAnswer: 2, 5, 17, 61, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/448 and 35\/128.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpuludldpuuppudppuu. What is prob of picking 1 p and 1 u?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/6 - (-2)\/(-3). Let t be 0 - ((-1 - b) + 4). Is 15\/6*(10 - t) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0013 and 0.1775.\nAnswer: -0.00023075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-8) - 2)*4. Let i be 2\/t + (-630014)\/(-21). Round i to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 13 + -32 + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002585942 to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5c4 - 7?\nAnswer: 5bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 257 - -77?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2718828, -2718840, -2718874, -2718936, -2719032?\nAnswer: -2719168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 197, 220, 257, 308, 373, 452, 545?\n\"Answer: 7*v**2 + 2*v + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a - 3*a - 2*a**2 + 5*a + a**2 - 5*a + (4*a + a - 3*a)*(-2*a + 0*a + 3*a) - 5*a**2 + 4*a**2 + 2*a**2 - 2*a**2 + 5*a**2 - 4*a**2 - 5*a**2 + 8*a - 8*a.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/36 + 1\/4. Suppose 3*f - 6*f = -12. Let g = f + -3. Is o > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20805982 or 20805986?\nAnswer: 20805986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/(v*(v\/(((v**0\/v*v)\/v*v)\/v))\/v))*v)**(-17))**(-38)*(v*v**(1\/2))\/v**(-4\/7)*((v*v**(2\/7)*v)\/v)**25 assuming v is positive.\nAnswer: v**(36655\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56\/57 + 6\/19. Let u be 0*(-2 + 3)\/1. Suppose u = -15*o + 19*o + 32. Which is smaller: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27131 and 48.\nAnswer: -1302288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 2*r + 2*r)*(-2 + 3 + 0) - 4*r - 3*r + 5*r + 0 + r + 0 - 2*r + 0*r + r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 170317749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.05, -2\/15, 10, 0.44, 2 in decreasing order.\nAnswer: 10, 2, 0.44, -0.05, -2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 + 49*m**2 - 226*m + 20. Give l(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*l*p**4 + 587*l*p**2 + 43*p**4 wrt p.\nAnswer: -888*l*p + 1032*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 16. Let a be 0 + 3 - ((-3)\/3 + -1). Let c be a\/((-30)\/21)*60\/(-35). Calculate the lowest common multiple of l(c) and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lu when two letters picked without replacement from jaojljjjaouoaoo?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17, 87, 265, 605, 1161?\n\"Answer: 9*y**3 + 7*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 780841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 33 - 13. Let r(c) be the third derivative of -c**5\/30 + 5*c**4\/24 - c**3\/3 - 7*c**2 - 25*c. Give r(d).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-2.58.\nAnswer: 5.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 678.82024 days in weeks?\nAnswer: 96.97432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(76) + 1*sqrt(76)*6 + -4*(sqrt(76) + (sqrt(76) - sqrt(76)*1)) + sqrt(76) + -4 + -4)**2 + -4.\nAnswer: -1284 + 128*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/21072 and -163\/158040.\nAnswer: 316080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10.3+20\nAnswer: 9.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 - -21 - -24) + (3 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90830833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-36 - -1541) + -3 + 4 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + 0.3. Let y = 0.2 - u. Round y to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -536 - -552. Suppose 5*x = 5*q + x - 25, -v = 4*q + 4*x. What is the greatest common divisor of q and 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/3)\/(h**4*h))**28 assuming h is positive.\nAnswer: h**(-476\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49602 is divided by 1420.\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 802516943 to the power of 1\/2, to the nearest integer?\nAnswer: 28329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + (63 - 134) + 82.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18950 and 8400.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 11 = -4. Sort f, -1, 14 in increasing order.\nAnswer: -1, f, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + 2 - (-5 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-16) - 1\/(-10). Which is the closest to -1\/6? (a) q (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3338 - -3341. Let d(l) be the third derivative of 1\/20*l**5 + 0*l + 0 - 2*l**h + l**4 + 13*l**2 + 3\/70*l**7 - 1\/5*l**6. Solve d(x) = 0 for x.\nAnswer: -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 56\/20 - (-12)\/(-15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5119865?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 116, 269, 422?\n\"Answer: 153*k - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*i**2 + 4*i + 14*i**2 + 4*i)*(45 + 38 - 1).\nAnswer: 164*i**2 + 656*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1818, -3639, -5460, -7281?\n\"Answer: -1821*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1348 = 3*q - 5*q - r, -4*q - r + 2692 = 0. Suppose -674*l + q*l = -44. Calculate the common denominator of (-4)\/(-10) + (-204)\/110 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*z + 11498 - 1610 = -620*z for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + sqrt(637) + 2)**2 + 2 - (-4*(sqrt(637) + -3) + sqrt(637) + sqrt(637))) + -4 + -5 + 3*1*sqrt(637).\nAnswer: 91*sqrt(13) + 2533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -89, -157, -225, -293?\n\"Answer: -68*m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 1 + 7*n - 2*n. Let i be g(3). Suppose -8*l = -i*l + 20. Solve 2*o = l*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - -15. Suppose -4*c + 5*c + a = b, -5*c - 100 = -4*b. What is the greatest common factor of 250 and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u**3 + 32*u**2 + 142*u - 55. Let x(p) = 2*p**3 - 16*p**2 - 70*p + 22. Let b(n) = -2*m(n) - 5*x(n). Let b(g) = 0. Calculate g.\nAnswer: -3, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 149*m**8\/336 + 49*m**4\/24 + 9*m**2 + 6*m. Find the second derivative of n(t) wrt t.\nAnswer: 2980*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + m + 5, -1 = 2*t + 3*t - 3*m. Let z(b) be the first derivative of -3*b + b**3 - 42 - 3\/2*b**2 + 3\/4*b**t. Find i such that z(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 54890.\nAnswer: 329340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 22 = q - 5*a, a + 14 = 5*q. Suppose -1 - q = -d. What is the second derivative of 2*w - 2*w**3 + 5*w**3 - w**d wrt w?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36.8, -0.0534, -4, 2 in decreasing order.\nAnswer: 2, -0.0534, -4, -36.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1240*k. Let o(r) = 213*r. Determine w(o(q)).\nAnswer: 264120*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7*6*(-2)\/28\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1910 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*u + 5, 2*r - 22 = -5*u - 2*r. Let t(o) = 6*o**3 - 3*o + 4*o**u - o - 14*o**3. Let m(k) = -9*k**3 + 5*k**2 - 5*k. Calculate -4*m(q) + 5*t(q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g - 5 + 5 = 0. Let f(s) = -s**3 - 6*s**2 - 4*s + 1. Let u be f(-5). Let h = u + 6. Solve g*w = -h*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 2928.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 4*u**2 + 6*u - 8. Suppose 65 = 7*l + 6*l. Let r be b(l). What is the units digit of (-5 - r) + 30 - -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/90*6*(-105)\/6\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*c + 7*c**2 + 2*c**2 + 5*c**2 - 4*c + 18*c + 2 to p*c + u*c**2 + a and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2. Let w(n) be the second derivative of -31\/6*n**3 - 13*n + 0*n**2 + 0. What is w(h(d))?\nAnswer: -31*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 5)*(5*g**2 - 6*g**2 + 2 - 3*g**2).\nAnswer: 28*g**2 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 9 - 15*i**2 + (-6*i + 5*i + 0*i)*(3*i + 0*i - i) + (4*i**2 - 7*i**2 - 9*i**2)*(1 + 0 + 0) to f*i**2 + k + g*i and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/476 and 55\/9028.\nAnswer: 1074332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 3, -0.2, 0.04?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8956*g - 66*g**2 + 411*g**2 - 8956*g.\nAnswer: 345*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193907225 to the nearest integer?\nAnswer: 13925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 76*n + 275. Calculate b(72).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2cc9a5 (base 16) in base 15?\nAnswer: 3cea55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 8*u - 8*u)*(2 - 2 + 2 - 5*u).\nAnswer: 20*u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 98 (c) 0 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 380948?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.6577 + -4.3423. Put -4, 1\/18, 1\/8, l in decreasing order.\nAnswer: 1\/8, 1\/18, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - k = -3*o + 15, 4*o - 20 = 4*k. Put -4, k, 4 in increasing order.\nAnswer: -4, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(684) - 1*(sqrt(19) + sqrt(19)*2).\nAnswer: -2 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**5 - 5*j**5 + 5*j**5 + 2*j**5 - 3*j**5 + 0*j**5 + (-j**3 - j**2 + j**2)*(4*j**2 - j**2 - j**2) + 2*j**4 + 208*j**5 + 73*j**5 - 43*j**5.\nAnswer: 233*j**5 + 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 6. Let p be a\/(-8) - (-5)\/2. Suppose -p*m - 46 = -2*h - m, -2*h + 40 = -5*m. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 820437970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 5:35 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/4*104\/39. Suppose -5*o - 20 = -4*d, -3*d = -3*o + 4*o + 4. Let n = d - -1. Solve -4*f + x*g = -4, 3*f - 2*g + 3 = n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -6 - -3) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -8. Let k be 7\/g + (-2)\/4. Suppose 255*t + 4058 + 2096 = -107*t. Which is the third smallest value? (a) 2\/3 (b) t (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 43121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 2 - 2)*(2*h**3 + 3*h**3 - 4*h**3) - 2*h**2 + 2*h**4 + 2*h**2 - h**4 + 0 + 0 + 2*h**3 - 3 + 2*h**4 - 2*h**3.\nAnswer: 5*h**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 64\/5 of a millisecond?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008)*1*-1*-4 + 3.\nAnswer: 3 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 11*n - 13. Let x be h(-9). Suppose 3*a - 3898 = -2*t + x*a, -5851 = -3*t + 4*a. Suppose -15*q = -10*q - t. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*x - 10, 4*x - 4*u + 0 = -24. Let k be (162\/x)\/(9\/(-18)). What is the greatest common divisor of k and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.24774138 to 1 decimal place.\nAnswer: 11.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(7*y - 4*y - 4*y) - 2 + 2*y + 2 - 138*y - 2335 + 2335.\nAnswer: -134*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbpxeppesxppppp. Give prob of picking 1 b, 1 s, and 1 e.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 8. Let y = i + 0. Find the first derivative of -1 + y*z + 3*z - 4*z wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -33421920?\nAnswer: 33421919.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -24, -2\/5, -4, 1919?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4 - 7780*t**3 - 3002990*t**2 + 18228540*t - 27448245.\nAnswer: -5*(t - 3)**2*(t + 781)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-109*a**3 - 49*a**3 - 17*a**3)*(13*a + 362*a - 71*a) to the form j*a**4 + t + s*a**3 + g*a + v*a**2 and give j.\nAnswer: -53200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 3*l - 762, 24*z + 3*l = 22*z + 288. Calculate the remainder when z is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -173617?\nAnswer: 17361a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1408 divide 788480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 316, 311, 292, 253, 188, 91, -44, -223?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 9 + 23 - 21*q + 3.\nAnswer: -21*q + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*s = 6. Let l = -170 + 170.4. Let x = -0.07 - -4.07. Sort x, l, s.\nAnswer: l, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2406a - -b?\nAnswer: -2405d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101012 + 122101202?\nAnswer: 122000120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14064887, 28129770, 42194653, 56259536?\nAnswer: 70324419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 4 = 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 943102 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22 + 60)\/(((-38)\/(-8) + -5)\/(-1)). Solve 162*n - 50 = s*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -1\/6*c**4 - 1\/84*c**8 + 1\/15*c**6 - 18*c**2 + 0*c + 0*c**7 + 0*c**5 + 0 + 0*c**3. Factor i(b).\nAnswer: -4*b*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240989582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 42. Suppose -2*g = -3*b + f, 2*b = -g + 9 - 3. Suppose -63 = -b*p + 3*p. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413568 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6)**(-2\/25) assuming u is positive.\nAnswer: u**(-12\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 84 = -3*h, -2*g - 3*g - 5*h + 100 = 0. Calculate the greatest common divisor of g and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20007 is divided by 1537.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/x**(-3\/4))\/x*x)**(15\/4)*(x\/(x*x\/(x*x**(-9\/7))))\/((x*x\/((x\/x**5)\/x))\/x*x) assuming x is positive.\nAnswer: x**(227\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -953 - -1364. Suppose -419*j = -b*j - 2584. Does 35 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13580.\nAnswer: 2, 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*p**2 + 372*p**2 - 2888*p**2.\nAnswer: -2572*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1353614126 to the power of 1\/2, to the nearest integer?\nAnswer: 36791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -636 divided by 345\nAnswer: -212\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(468) + -1)**2*-1 + (-2*sqrt(468)*1 + -4 + sqrt(468)*1 + sqrt(468))**2 + 0.\nAnswer: -453 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 466972131547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000759433 to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 1:37 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o - 3*p + 16 = 0, 33 = 5*o + 4*p. Suppose -9 = -3*s + o*m, -12 = -4*s + 4*m - 2*m. Suppose s*d - 24 = -d. Solve -i - 2*i - d = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.8 + 6. Let l = -0.7 + w. Let q(c) = c**3 + 8*c**2 - 2*c - 13. Let v be q(-8). Sort l, -0.3, v in descending order.\nAnswer: v, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a - 3. Let z(h) = -13*h - 11. Let p(j) = -9*f(j) + 2*z(j). Give p(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llul when four letters picked without replacement from {l: 6, u: 1, a: 8}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**5 - 57*x**4 - 426*x**3 - 1566*x**2 - 2835*x - 2025 = 0.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66\/107, -19, 1\/8, -2\/61 in increasing order.\nAnswer: -19, -66\/107, -2\/61, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**3\/3 + 2*v**2 + 2*v + 1. Let x be a(-4). Suppose 3*r = -2 + 11. Solve 0 = -x*w, 0*w + 9 = -r*i + w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 199053329.\nAnswer: -79621331.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.79868 and 187.\nAnswer: 149.35316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by 1\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320132 (base 4) in base 6?\nAnswer: 55410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 27 - 2*q**3 - 5*q**3 + 2*q**2.\nAnswer: -7*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g - 1. Let h(a) = -12*a**2 - 3*a + 2. Let i(l) = -2*d(l) - h(l). Find the second derivative of i(u) wrt u.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2354352 (base 8) in base 9?\nAnswer: 1183230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3393.568 centimeters in nanometers?\nAnswer: 33935680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from duasdkdsvvv.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, r: 1, n: 3, f: 5, l: 1}. What is prob of picking 1 f and 1 l?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105457108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12207267 to the nearest integer?\nAnswer: 3494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 10) in base 8?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 9:23 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -7\/60*q**6 + 7\/24*q**4 + 1\/105*q**7 + 0 + 0*q + 1\/3*q**3 - q**2 - 1\/15*q**5 + 1\/48*q**8. Let x(i) = 0. What is i?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 8408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knkcooknlhkhck. Give prob of sequence lhh.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*r - 59*r + 107 = -4*d, 5*r = -2*d - 111 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 8*c - 4. Let a(f) = f**3 + 7*f**2 + 5*f + 2. Let g be a(-6). Let x be z(g). Sort 2, x, -1 in descending order.\nAnswer: 2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1830 - -1882. Solve 292*c + g = 279*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 + 43*y**3 - 3*y**3 - 16*y**3.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 100.0119 and 0.4.\nAnswer: 40.00476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -35, -14, -0.1, 6 in decreasing order.\nAnswer: 6, 4, -0.1, -14, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from dbdhgbggggbydgdgggg?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k + k + k)*(-63 - 18 - 15)*(-7 + 0 + 17)*(0 - 4 + 2) in the form p + f*k and give f.\nAnswer: -1920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 3:30 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 131.2 + -131.1. Let f = -3 + 0. Let a = f - -2.8. What is the second smallest value in -1\/4, a, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76413203 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -23*t + 21. Give w(-3).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a centimeter in micrometers?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 5:04 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30634473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 362280 divided by -1871?\nAnswer: -362280\/1871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 470669755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(45) + -3 + sqrt(5))**2)*4 - 3*sqrt(45)\/(-1*sqrt(9))*-1.\nAnswer: -99*sqrt(5) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djddjsj. Give prob of picking 2 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 225720 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 698*s - 673*s + 500 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-297)\/(-324))\/((-3)\/3) and -67\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + r - w = 0, 8 = -2*w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.8 + -1.2. Sort 3\/11, w, -2\/19 in descending order.\nAnswer: 3\/11, -2\/19, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-2)\/(-9) - 114\/(-54))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*w + 14 = 30 + 42 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, p: 6, b: 1}. What is prob of sequence pxbx?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 1 (b) 2\/11 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4387 = -2*s, 0 = 5*f - 5*s - 19161 - 2789. What is the highest common factor of f and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3356, 6766, 10226, 13736, 17296?\nAnswer: 20906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 57 (b) -27.9 (c) 14 (d) -3\/4 (e) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) + (sqrt(64) - sqrt(64)*1))*-1 - -3*sqrt(64)*-1)\/((sqrt(32) - sqrt(3200)) + 4*sqrt(56)\/sqrt(7)).\nAnswer: 4*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29\/5 - 5\/2*r + 23\/10*r**3 + 1\/5*r**5 + 31\/10*r**4 - 89\/10*r**2 = 0 for r.\nAnswer: -29\/2, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 6 - 9 = 0. Let f(k) be the first derivative of -k**3\/3 + k**2 + 2*k - 1. Calculate f(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -399 - -1202\/3. Which is the closest to -0.03? (a) 0.1 (b) -3\/8 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**5 + 2*y**5 - 5*y**5 + (6*y**4 - 4*y**4 + 0*y**4)*(-y - y + 3*y) - y**5 + y**5 + 2*y**5.\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -67 (c) 0.3 (d) -4\/3 (e) 5\/6 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22162250.9 rounded to the nearest 10000?\nAnswer: -22160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 30 = -4*j, -4*f - 7 - 11 = -2*j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 42.6 (b) 271 (c) 0.289\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -12*l - 29. What is o(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2647*n - 3757*n + 101010 = 0 for n.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 5*x - 11, -x + 23 = a + 4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvjpptj. Give prob of sequence jpjv.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95 + 173. Let y = c - -41. List the prime factors of y.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - u**2 - u + 1. Let i(t) = 6*t**3 + 6*t**2 - 2*t + 11. Give i(j) + 5*y(j).\nAnswer: j**3 + j**2 - 7*j + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 116*l - 3954 = 117*l, -5918 = -3*a - 5*l. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 9*g**6\/40 - 101*g**4\/24 - 237*g**2. Find the second derivative of q(r) wrt r.\nAnswer: 162*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.33 to the nearest integer.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, r: 1, i: 1, e: 4, b: 1, p: 6}. Give prob of sequence pbur.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 10 = -5*s, -2*g + 4 - 8 = 2*s. Suppose r - 5 = -p, g*r = -r + 5*p - 13. Let j(n) = 4 + r + 4*n - 3 - 1. What is j(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78745, 78892, 79047, 79210, 79381, 79560?\nAnswer: 79747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 33*l**2 + 45*l - 373. Let s be h(32). Solve -s + 35 = -2*j + 4*r, -20 = j + 4*r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 10 = -3*i. Suppose 444*p - 378*p - 330 = 0. Solve 0 = q + 3*h - i, 28 = p*q + h + 3*h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 0 + 0)*((2 - 2 + 2)*(3 + 1 - 5) - 9 + 3 + 7)*(-18 + 0 + 8)*(-2*a + 8*a + 2*a) to u*a + q and give u.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.2 (c) 2\/5 (d) -34 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 558 and 7?\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4182 in 4, 92, -0.5, -0.2?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -470363421 and -175?\nAnswer: 470363246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29025486?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1672994?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -166*d - 1966. What is l(-12)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-54))\/(-1*(-2)\/(-4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -26*r - 87. Calculate z(0).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**4 - 28*q**3 + 120*q**2 - 208*q + 128 = 0.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6086874 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 15 = -5*z, -4*h + 402*z - 403*z = -8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*h - 111261228*c**3 - 5*c**2*h + 4*c**2 + 12*c*h + 38*c + 16*h - 1 wrt c?\nAnswer: 6*h - 667567368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 14) in base 12?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wv when two letters picked without replacement from {n: 1, l: 1, v: 2, w: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/484002 and 55\/9.\nAnswer: 484002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -176, -431, -800, -1289, -1904?\nAnswer: -2651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - z - 3. Let t be k(3). Let x(a) = 6*a + 2*a**t + 9 - 5*a**2 - 3*a**3 - 3. Let y be 45\/3*(-2)\/5. Determine x(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**3 - 3926836*j**2 + 54975116*j - 192412220 = 0 for j.\nAnswer: 7, 981695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x - 133 + 4*x + 134 - 2*x**4 + x**4 + 111*x**2 to the form j*x**4 + m*x + d*x**2 + a + i*x**3 and give d.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y**3 + 7*y**3 - 3*y**3)*(230 - 56 + 48) to q + l*y**2 + k*y**3 + c*y and give k.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 6, w - d = 4*w + 11. Let y be ((-2)\/(-4))\/(3\/(-6)). Let z be -1 + (0 + w)*y. Solve -3*m - z = -14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18512 is divided by 965?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + 12. Let c = v + 77. Suppose -7*g + c = -2*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from {h: 4, e: 2, n: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46320 divided by -1930.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilg when three letters picked without replacement from {g: 6, z: 3, a: 2, k: 1, l: 3, i: 5}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/21*8\/(-20).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 865725045?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 + 69 = -16*k - 71 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 386 (b) -29 (c) 2\/11 (d) 5 (e) -0.3 (f) 44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 56 = -4*v, -119*v + 2 = g - 206*v + 84*v for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11 - 0.41. Let i = 7520 - 7517. Sort i, l, -27\/2 in descending order.\nAnswer: i, l, -27\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 1)*36\/(-4). Let w = u + 26. Sort 5, w, 0.\nAnswer: w, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1397 + 513 = -109*g + 1405. Solve -2*l - 4*i = -g - 9, 0 = 3*l - 3*i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -1, -1\/23, 13.5888?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eik when three letters picked without replacement from {e: 6, t: 2, a: 2, k: 3, i: 4}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d + 11. Let r be ((-1)\/((-55)\/(-66)))\/((-6)\/(-20)). Determine i(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*r. Suppose -3*a + 5*a + 2 = r. Suppose -b + 16 = -5*b. Sort a, 1, b in decreasing order.\nAnswer: 1, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 6, 0.3, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 77*f**3 + 294*f - 5113. Let i(g) = 43*g**3 + 146*g - 2557. Let a(v) = 9*i(v) - 5*w(v). What is the derivative of a(t) wrt t?\nAnswer: 6*t**2 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 s when three letters picked without replacement from {p: 1, z: 2, s: 1, o: 2, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-8)\/z)\/z*z**4*z*z*z)\/(z**(-2\/7)*z**(-11)) assuming z is positive.\nAnswer: z**(58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + 0*k + 2*k**2)*(-2375*k + 196*k - 2900*k + 340*k) in the form f*k**3 + i + m*k**2 + j*k and give f.\nAnswer: -9478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + 17\/(-20)*-5. Are -84 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 1 (b) -6\/11 (c) 0.01835\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4 + 48*a**3 + 48*a**2 - 6 + 6 - 93*a**3.\nAnswer: -3*a**2*(a - 1)*(a + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*n - 21*n - 4*n**2 - 6*n - 16*n.\nAnswer: -4*n**2 - 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c69 + b?\nAnswer: -1c5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3982*f - 3980*f - 3*d = -147, 0 = 2*f + 4*d - 182 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -3. Solve -g*s - 5*r + 24 - 3 = 0, -3*s = -4*r - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*30\/9030*43*259\/(-3)?\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3629, 7275, 10921?\n\"Answer: 3646*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in 2\/11, -2.66, -0.3, -0.14?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-18)*(-5)\/475*-133?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d + f - 13 = -2*d - 31, 2*f - 59 = 41*d + 5*f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrrrrrrrirrrr. Give prob of sequence ri.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -7*g + 5*g + 3*g. Let f(q) be the second derivative of -7*q**4\/12 + q. Determine f(u(j)).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*l - 22 + 2, -2*l + 2*d - 8 = 0. Let u(x) = -25*x + 5. Is 17 a factor of u(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5693805, 5693801, 5693795, 5693787, 5693777, 5693765?\n\"Answer: -x**2 - x + 5693807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*g + 12*g + 210. Calculate the remainder when 293 is divided by g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 18, -3182 in decreasing order.\nAnswer: 19, 18, -3182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 171.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.17 - -4.83. Let n(u) = -4*u + 52. Let v be n(13). Suppose v = d + 28 - 23. Which is the closest to 3\/4? (a) 0 (b) d (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-14))\/(4\/(-28))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/18 in 61, -0.3, 5, 2\/9, -6\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 49 = 2*b + 1, 2*b + 5*w - 48 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*o**4 + 433*o**3 - 352 wrt o?\nAnswer: -8*o**3 + 1299*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*a - 76, 4*a = 2*z - 0*a + 46. Let x = -7 - z. Let u be (2 + (-7)\/6)\/(x\/48). Let r(p) = -3*p + 4. Give r(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502042?\nAnswer: 2, 283, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 408 and 87210?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 2972744.\nAnswer: 38645672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.5592 to one dp.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8387664?\nAnswer: 2, 3, 17, 19, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48168*v**3 + 767*v + 1 wrt v.\nAnswer: -289008*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 7*a**5\/10 - 9*a**4 + 68*a**3\/3 + 24*a**2 - 8*a + 1. Factor n(p).\nAnswer: 2*(p - 6)*(p - 2)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 15*g + 16 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.56 + -0.44. Let n = x - -26. Which is the closest to -1? (a) -0.1 (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.02 (b) -0.156 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -3003010200?\nAnswer: 3003010211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i - 1. Let t be z(4). Suppose 0 = -0*m + 5*m - t. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + 3*sqrt(216)\/sqrt(6))\/(sqrt(192)*6 - sqrt(12)) + (3*(sqrt(48) - sqrt(3))*1)**2 + 3.\nAnswer: 4*sqrt(3)\/23 + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 3:44 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*s**2 + 1)*(-294*s**2 - 227 - 238 + 465).\nAnswer: 588*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 0, 2\/13, -1\/32, 3?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 - -2) + -3 - 19) + (136 - 134).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41946299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.6 and -44.\nAnswer: -158.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*h = -56, 4*l - h = 5*l - 41. Is l a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148935 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 4, -2*g + 2*x - 7 = -0*g + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -168642565*c**3 - 5*c**2 + 246346*c - 11 wrt c.\nAnswer: -1011855390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -163*p**8\/42 - 3*p**5\/5 - p**4\/24 - 331*p**2. What is the third derivative of f(s) wrt s?\nAnswer: -78240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**4\/6 - p. Suppose 11 + 1 = 3*b. Let l(r) = -3*r + b*r + 0*r. Calculate l(v(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 6978074 and 6978069 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-5))\/(100\/50*(-1)\/30).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 9397*b + 18810*b - 9418*b.\nAnswer: -5*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/(sqrt(8) + sqrt(8) + 2*sqrt(8)) - (sqrt(22)\/(sqrt(44)\/(sqrt(4) + (sqrt(4) - (sqrt(4) + sqrt(36))))))**2.\nAnswer: -8 + 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**4\/12 - 2*o**3\/3 - 7*o**2\/2 + o - 4. Let a be -6 - (1 - -1) - (-6 + 4). What is p(a)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -49 - (5 - (-18 - -8))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.374 in 5, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 78546 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-502*n + 502*n + 11*n**2)*(-2*n + 2*n + n)*(2*n + 0*n + n).\nAnswer: 33*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 7:14 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 3*n**5\/5 + 3*n**4\/2 + n**3 + 23. Solve h(x) = 0 for x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 76*w + 360. Determine p(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46785 + -46763. Calculate the greatest common factor of l and 35794.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(15)\/sqrt(5)) + (sqrt(18)*2)\/sqrt(6).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-1)*(-54)\/360 - (-192)\/(-560)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(28)*-2)\/(sqrt(16)*2))**2 + ((sqrt(70) - (sqrt(70) + (sqrt(70) - (1*sqrt(70) - sqrt(70))))*4) + sqrt(70) + sqrt(70))\/(sqrt(10) + sqrt(360)*-2).\nAnswer: 5*sqrt(7)\/11 + 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 0*v + 181*v**3 - 6*v + 6*v + 5 - 7*v in the form h*v**2 + u + k*v + j*v**3 and give j.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*y + 1, 2*j + y = 6*y - 3. Suppose 3*p = 2*p - 5*p. Sort -3, j, p, 4 in ascending order.\nAnswer: -3, p, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68927185?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/22 and -7\/9624.\nAnswer: 105864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/4*i**2 + 1\/4*i**3 + 1 + 2*i.\nAnswer: (i + 1)*(i + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-34 - 23 - 3)*(0 + 4 - 2) + (-2 - 1 + 5)*(-1 - 2 + 5))*(-b + 4*b + 0*b)*(-1 - 2 + 5) as y*b + n and give y.\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: -21121 (base 3) to base 2\nAnswer: -11001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 5, -3\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 11)\/(-3) + -1*5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175 and 800?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/5 + 42*r**2\/5 - 78*r\/5 + 38\/5.\nAnswer: -2*(r - 19)*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 7:59 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*j - 22 = 2*j, 3*m + 2*j - 8 = 0. Suppose 5*r + 13985 = -5*c, -11209 = m*r - 0*c - 3*c. What are the prime factors of 8\/36 + r\/(-36)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbf when three letters picked without replacement from mwmcwgfcgcwmfwbb?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 138*m**3 + 3*m - 2. Let y be (-2 + 5)*(2 + 1). Suppose 0 = 5*r + 2*u + 1, -4*r - 5*u = y + 2. Is t(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 1\/451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0)*(-1 + 7). Let i be (8\/g)\/((-8)\/108). Suppose -4*n = 2*a - i, -n + 0*n + 9 = a. Calculate the remainder when a is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -267 - -271. Let x be 3\/12*(-8)\/(-6). What is the closest to -1\/3 in x, b, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 + 3*r**2 + 21*r - 7. Let p be l(-5). Which is smaller: 212 or p?\nAnswer: 212","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19, 118, 457, 1088, 2101, 3586, 5633?\n\"Answer: 15*m**3 + 11*m**2 - m - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9973\/70 - 385127201\/2703190. Let x = -103608\/509242379 + g. Let l = x - -857167\/79122. What is the common denominator of -109\/40 and l?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/9 + (-28)\/(-6). Suppose 4*b - 1705 = t*w, b = 5*w + 310 + 120. Let u = b - 222. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 758 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 141.7 times -15?\nAnswer: -2125.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18179*q - 21522?\nAnswer: -18179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 16*c + 72. Give t(20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i**3 + 0*i**3 + 0*i**3)*(3708*i + 2153*i + 1533*i + 38*i + 1) in the form a*i**2 + d*i + x*i**3 + m + w*i**4 and give w.\nAnswer: -7432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6094 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 - 158*r + 158*r. Let t(b) be the first derivative of -5*b**3\/3 - 1. What is t(m(d))?\nAnswer: -20*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -43, -2\/7, -57?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0 (b) 18095 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1787, -3, 65, 1.\nAnswer: -1787, -3, 1, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g**2 - 28*g. Let z(q) = -8*q + 12. Let b be z(5). Let k(r) = r**2 + 3*r. Give b*k(j) - 3*l(j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-2\/11)))**(1\/3)*(a*a**(-3))**(-1\/2) assuming a is positive.\nAnswer: a**(35\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 6*l = 12. Suppose 1097 = l*r - 157. Suppose m = 3*m - 38. What is the highest common factor of m and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2862*f**4 + 716*f**2 + 5193372.\nAnswer: 11448*f**3 + 1432*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5968 + -5909. Calculate the highest common factor of h and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 17?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.7 - 6. Let m = o + 2.4. Let y = 66\/5 + -1132\/85. What is the third smallest value in m, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 11812.\nAnswer: 47248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -0.5 (c) 5 (d) 118 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7159778 = -6\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 4*h + 32, h + 8 = 5*k - 16. Let a = 6244 + -6243.94. What is the nearest to 2\/7 in -0.1, k, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j - 44 + 3 + 15 wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -10.048. Let n = -105849.048049 + 105849. Let q = n + b. Round q to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -40, -59?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13452 or -12406?\nAnswer: -12406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 3:34 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-14)\/(-56)*20\/(-5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 = -0. Let o(m) = -3*m**3 - m**3 - 2*m**q + 3*m**3 + 1 + 3*m - 4. Let r = 380 - 383. Determine o(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*m**3*p + 10*m**3*y**3 - 477*m**3*y + 13*m**2*p + 3*m*p*y - m + 2*p*y**2 - p*y - 617229*y**4 wrt y.\nAnswer: 60*m**3*y + 4*p - 7406748*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p**2. Let c(z) = -2*z**2 + 5*z + 5. Let a(s) = -2*s**2 + 6*s + 6. Let m = 22 + -16. Let n(j) = m*c(j) - 5*a(j). What is t(n(k))?\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t - 46*t**3 + 3*t + 200*t**3.\nAnswer: 154*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -945596, -1891184, -2836756, -3782306, -4727828?\n\"Answer: m**3 + 2*m**2 - 945601*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16909 + 32379. Is m a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.199421 times -0.5?\nAnswer: -0.0997105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2716223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 8:53 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/217*((-2739)\/30 - -1) + -1 - 9?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v. Calculate the least common multiple of n(3) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b740 (base 16) in base 8?\nAnswer: -1133500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 4 = 0, 2*v - 5*c + 14 = 27 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -4)\/((-1)\/5). Let v be 2\/(-10) + 102\/10. What is the greatest common factor of z and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360 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: Simplify z\/(z\/z**(1\/7))*z*z\/z**7*z*z*z\/(z*z**8)*z*z**(-6)*(z\/(z*z*z\/z**(-13)*z)*z\/z**(-5))**42 assuming z is positive.\nAnswer: z**(-3051\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1763 is divided by 84.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 - 2065*u**2 + 5158*u - 8235. Calculate m(1030).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 38680.\nAnswer: 270760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 277945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 25 + 4 = 0. Let i = 11 - 13. What is the remainder when (-21432)\/(-264) - i\/(-11) is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1817, -1902, -1961, -1982, -1953, -1862?\n\"Answer: 2*f**3 + f**2 - 102*f - 1718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 3363298.16 and -2.45.\nAnswer: 3363295.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 - 4.42. Let i = v - -4. Let n be 6\/4*(-4 + (-48)\/(-9)). Put -0.1, n, i in descending order.\nAnswer: n, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - (-2 + (21 - 10))) + (-2 - (2 + 7))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 303889935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a - 3. Let d(t) = -20 - 18 + 4 + 34 - 20*t. Give d(f(l)).\nAnswer: 80*l + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2, -4, 0.4 in descending order.\nAnswer: 0.4, -0.4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6)*2*-9. Let p = d - 3. Let y(w) = 8*w + 2. Does 14 divide y(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2. Let v(b) be the third derivative of b**6\/720 + 7*b**4\/12 - 25*b**2. Let c(m) be the second derivative of v(m). Determine f(c(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -166 + 165.886. Round b to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/24 and 81\/136?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 4*j + 11 = -4*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3616 + 3615. Sort x, -1\/6, -59, -1\/3.\nAnswer: -59, x, -1\/3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (19 + -4 - -1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -47739?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v + 24. Let f be g(-3). Suppose 0 = -f*y + 84 + 204. What is the lowest common multiple of y and 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97\/220 + 21\/110. Let i be (-36)\/126 - ((-22)\/(-28))\/(-1). What is the third biggest value in i, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u**2 - u**2 + 27 - 30 - 11*u)*(23*u + 16*u - 35*u) to the form c*u**3 + y + p*u**2 + m*u and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 2:19 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-4)*-1)\/16\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1\/3))**(-2\/33))**(8\/3)*(g**(-2\/7))**(-1\/7)\/(g\/((g**(2\/9)*g)\/g)*g**(-8)\/g) assuming g is positive.\nAnswer: g**(118684\/14553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, y: 6}. Give prob of picking 1 y and 2 l.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 2)*(f**2 + 0*f**2 + 2*f**2)*(-3*f**2 - 2*f**3 + 3*f**2).\nAnswer: 24*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 10605.18 to the nearest 100.\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192 and 480?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 971197 is divided by 4476?\nAnswer: 4381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14938*a**4 + a**3 + 16434*a**2 wrt a.\nAnswer: -358512*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5 + 16\/6).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/330*44\/(-528)*32\/4\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 425b + -44?\nAnswer: 4217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*v**4 - 4 - 4*v**3 - 5*v**4 - 8 + 3*v**3 to the form c + a*v**2 + p*v**3 + o*v + u*v**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 3*l + 184 - 54 + 70, -278 = -10*h + 3*h - 4*l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001128 to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -566300 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33130349 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*i + 30, 4*i - 4 = -8. Solve b*g = 2*g - 3, g = -2*n + 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 + 5*a**2 - a**2)*(-6 + 1 + 4) + 12*a - 8*a + a**2 - 5*a - 2.\nAnswer: -7*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 0. Let i = -125\/84 + -1\/84. What is the second biggest value in a, 0.4, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 6*g**2 - 2*g + 14. What is v(-6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.9 + -12. Let z = g - -0.5. Sort 0.3, z, 4.\nAnswer: 0.3, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwodwawokkkk. Give prob of sequence da.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 14 = -p, -6*d + d = 4*p - 7. Suppose d*v = 384 + 411. What is v rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -29*y + 86. Let w be a(-6). What is the greatest common factor of 700 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -33*m**2. Let l(h) = 4*h**2 - 5*h - 5. Let o(f) = 6*f**2 - 8*f - 8. Let x(w) = 8*l(w) - 5*o(w). What is x(s(d))?\nAnswer: 2178*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*z - 444 = 39*z - 51*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - q = 17, 5*s + 2*q - 83 + 36 = 0. Suppose -12*w + s*w = -6. Let n be w\/(-4) + (1 - 0). Put 1, n, -2\/3 in increasing order.\nAnswer: -2\/3, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 1. Let u(h) = 37*h**2 - 121*h + 25. Let o be u(3). Let p(b) = 11*b**2 + 2. Determine o*w(n) - p(n).\nAnswer: -16*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004742 rounded to 7 decimal places?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 10}. Give prob of sequence aa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90\/23, 2, 2\/27 in ascending order.\nAnswer: 2\/27, 2, 90\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 6:58 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mww when three letters picked without replacement from xmmxmxmmmmwwmxmmwwm.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -2\/5 (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 - -61. Suppose 5*t + p*t - 133 = 0. What is the greatest common factor of t and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127502 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 37704475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 855150.19 to the nearest 10000.\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*((1 + sqrt(112))**2 - (sqrt(7) + -2*sqrt(7) + -4)).\nAnswer: 36*sqrt(7) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 548.36 + -587. Let v = 38 + o. Let i = v - -0.14. Which is the smallest value? (a) 0 (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/8))**(-2\/21)*(q*q**7\/q*q)\/q*q*q*q**30*q assuming q is positive.\nAnswer: q**(1119\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u + 2. Calculate m(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 21. Let n be x(9). Let t be 2\/n*-4*3. Solve 2*p + 14 = -t*h - 2*h, 3*h - 5*p + 17 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 4*r + 7. Give t(5).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*a - 105. Suppose -88 = -3*y + 1010. Suppose y = 6*p - 126. What is the remainder when p is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*c + 9 + 141 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -248 + 257. Suppose 3*s = -4*b + 48, -3*b - 47 = -6*b - 5*s. Calculate the smallest common multiple of 7\/(-3)*b\/(-3) and f.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001010111 - -10?\nAnswer: -1000001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**4\/12 + 25*m**3\/6 + 2586*m**2. Give j(19).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 15 = w, -26 - 4 = 2*w - 4*r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 = -5*v + 28. Suppose -u - o + 74 = -2*o, -u + 4*o = -68. Suppose -v*p = -78*p + u. What is the remainder when 48 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 20*j = -527. Find the third derivative of 11*q**3 - 21*q**2 + 70*q**3 - j*q**3 wrt q.\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1 (b) -74 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1702*l - 91987 - 11835 for l.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**2 + 4*i - 2. Let d be w(-2). Let k(s) = 15*s**2 + 6*s - 10. List the prime factors of k(d).\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107735 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -1. Suppose 0 = -5*b - 10, -5*z + 3*b = -g*b - 25. Factor -5*y**z - y**3 + 9*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 18*o - 3360 = 2*o. What is the highest common factor of o and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -73*r + 205. What is q(4)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5\/9 + 13448*t**4\/9 - 640694*t**3\/9 - 1348648*t**2\/9 + 640696*t\/9 + 1335200\/9 = 0.\nAnswer: -2, -1, 1, 50, 6676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1537 (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -w + 5*p, 5*w + 56 = -0*w - p. Let r(s) = -5*s**2 - 2*s - 4. Let o be r(-2). Let g = w - o. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - 0. Let c = -0.3 - u. Let q = c - -1.1. What is the third smallest value in 0.3, q, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 15 (b) -0.05 (c) -3 (d) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -633 + -468aa?\nAnswer: -47432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 700 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/19*(2 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76737 divided by 926.\nAnswer: -76737\/926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36284 >= 36283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 1:13 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmlymldolm. Give prob of picking 2 m and 2 d.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**3\/3 - 25*l**2\/2 - 19*l + 15. Is z(-23) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 - 82*j**2 - 39*j**2 to the form h + s*j**2 + f*j and give s.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19386, 38779, 58172, 77565, 96958, 116351?\nAnswer: 135744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 310711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*o - 14237 = 315*o for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 7 = -3*y, 2*y = -3*y + 25. Let j(m) = -24*m**b + 18*m**2 + 17*m**2. Let n(v) = 5*v + 22*v + 6*v - 31*v. Give n(j(w)).\nAnswer: 22*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -18*p + 3. Is n(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -4. Suppose 0 = 2*o - 3*r - 22, -s*r - 18 = -2. Let i(n) = 5*n + n**2 - o*n. Let b(y) = y**2. Determine b(i(z)).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 0*y**2 - 2 + 0*y - 1\/3*y**3. Let f(z) = -6*z**2 - 3. Let l(k) = -k**2 - 1. Let c(a) = f(a) - 3*l(a). Calculate u(c(v)).\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m = -2*a + 76, 4*m = 2*a - 70. Let h = 65 - a. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 - 33?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**0)\/u)**16*(u*u**(1\/10)\/u)\/(u\/((u**2\/u*u)\/u*u)) assuming u is positive.\nAnswer: u**(11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 19.9. What is the third biggest value in m, -0.2, 15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62222 = 1167*f + 12*f + 24*f - 28003 for f.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1\/2 (b) -0.7 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -46028 and 26814151.\nAnswer: 26768123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95485208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-299)\/(-23))\/(-13)*11\/1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 2*b + b + 0 + b + 0 + (-b + 0*b - b)*(1 - 2 - 1) - 2*b + 2*b - b - b - b + 3*b)*(364 - 3251 + 387).\nAnswer: -20000*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 486319116 divided by 49884\nAnswer: 9749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 5663*h**2\/2 + 8616*h - 4667. Differentiate c(l) wrt l.\nAnswer: 5663","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*c**2 + 1794868*c + 552272.\nAnswer: -4*(c - 34517)*(13*c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1056, -1204, 2, -1 in increasing order.\nAnswer: -1204, -1056, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 12:04 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -309261, -1, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(132)*1 - sqrt(132))\/(sqrt(432) + sqrt(432) + (sqrt(432) - (sqrt(432) + sqrt(432)*3))).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 - 559 + s**2 - 47*s**3 + 48*s**3 + 1613.\nAnswer: s**3 + 4*s**2 + 1054","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l - 20 - 75 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4688)\/5860*10\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 0*m**3 - 34*m**2 + 34*m**2.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -3. Let a = 1299 + -1201. Calculate the remainder when a is divided by (0 - (p - 0)) + 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2969 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.762 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 462 = 34*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101309271?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/7)\/(l\/(l**(2\/11)\/l))*l\/(l*l\/(l*l**(-6\/29)))*l*l\/(l\/(l**33*l))*l assuming l is positive.\nAnswer: l**(76823\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3518513 a multiple of 704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177461747.\nAnswer: 101, 107, 16421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16641 - 11490. List the prime factors of w.\nAnswer: 3, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001101010 (base 2) in base 7?\nAnswer: -3203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**3 - d**2 - 2*d + 2. Let n be o(1). Let t(x) = 3 - 54*x + 55*x - n. Let l(m) = 4*m + 3*m + 6*m + 1. Determine l(t(g)).\nAnswer: 13*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**6\/10 - 3*x**5\/20 + 4*x. Find z such that a(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 at most as big as -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*q + q + 25, 0 = 3*q + 15. Let x be 1 + (s - -1 - -2). Suppose 2*d + x*p - 58 = 0, -3*p + 7*p = 20. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 427278 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by 222.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 195 in -14, 4, -0.34?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 614273, 614272, 614271?\nAnswer: 614270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + 4432304214?\nAnswer: 4432304201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 + -57. Let c be 30\/t - (-4)\/16. Sort 2, c, 3, -5 in decreasing order.\nAnswer: c, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 33, 2, 42 in decreasing order.\nAnswer: 42, 33, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -14*a - 67. Suppose 8*w + 335 = -39*w - 20*w. Calculate s(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -1257*o**2 + 47*o - 628. Let x be u(43). Round x to the nearest ten thousand.\nAnswer: -2320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 111 (b) -2 (c) -51 (d) -270.9 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/53969 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*f = 8081, 4*l - 4*f = -985 + 7469. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1340003 rounded to three decimal places?\nAnswer: 2.134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -225782881 + 1417.57?\nAnswer: -225781463.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -5) + -4 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + sqrt(363) - (1 + 2 + sqrt(363)))**2*-6.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152610923, -305221855, -457832787, -610443719?\nAnswer: -763054651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**2 + 1\/30*p**5 + 0*p**4 + 0*p + 0 - 5\/6*p**3. Let w(z) = z**3 + z**2 - 1. Calculate b(a) - 2*w(a).\nAnswer: -2*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 791590215 and 45?\nAnswer: 2374770645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 22469, 2 in decreasing order.\nAnswer: 22469, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5737 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 + -0.2379253?\nAnswer: 0.3620747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099949909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f - 29665 - 9135 = 0. What are the prime factors of f?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2 = x, 0 = -i - 0*i + 4*x + 8. Suppose i = -3*j + j + 28. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*p + 56, 0*z + 10 = -2*z. Suppose -7 + 0 = -7*a. What is the smallest common multiple of 3\/p*0 - (-4 - -3) and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63235 is divided by 103?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-756 + 756 + 38*y)*(-3*y + 0*y + 2*y).\nAnswer: -38*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 17*i - 247 + 247 - 17*i**2 - 8*i**2. Let j(o) = -3*o**2 + 2*o. Let q(c) = 6*g(c) - 51*j(c). Let d(b) = -12*b. Calculate d(q(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 9:10 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55615.907 + -55556. Let k = z - 60. Round k to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8343 - -8382. What is the remainder when t is divided by 29?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 287, 657, 1177?\nAnswer: 1847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqllqlll. What is prob of picking 2 q?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (22\/55 - (-98)\/5). Let u be 20650\/f*-3*400. What is u rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 842267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 126\/12*15*6\/35\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*l - s + 8, -4*l - 26 = -3*s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000655639 to seven dps.\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 298.2 + -298.2. What is the closest to q in 1, 0.2, 10\/13, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2436601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4 + 5 + 9*v**2 - 1. Let s(c) = -c**2. Give s(a(x)).\nAnswer: -81*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 325*d + 1718. Calculate the remainder when 131 is divided by q(-5).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 times -9?\nAnswer: -1008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1080)*-3)\/sqrt(6)*4 - ((-1 + sqrt(5)*3 - sqrt(5)) + sqrt(5) + (sqrt(20)\/((-3*sqrt(4) - sqrt(4)) + sqrt(4)))**2)).\nAnswer: -4\/9 + 75*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-13)\/z)\/z)\/(z\/z**(-2)))**(7\/11)\/(((z\/(z**(1\/3)\/z))\/z*z*z**4*z)\/((z*z**0*z*z)\/(z\/(z*z**(2\/7))))) assuming z is positive.\nAnswer: z**(-3427\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a kilometer in meters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - b + 17, 2*b = -41*t + 22*t + 20*t - 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 28 = 4*o, 4*n - n + 2*o - 7 = -8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 95*q**2 + 50. Let k(u) = 16*u**2 + 8. Let d(w) = 25*k(w) - 4*m(w). Let t(j) = j**2. Give d(t(g)).\nAnswer: 20*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**5\/12 + 31*m**4\/24 - m**3 + 24*m**2 + 7. Let l(b) = -b**2 - 6*b + 1. Let s = -38 - -27. What is s*l(w) - 2*f(w)?\nAnswer: w**2 + 4*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 26062135, 26062152, 26062183, 26062234, 26062311, 26062420?\n\"Answer: i**3 + i**2 + 7*i + 26062126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5470 smaller than 259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/2328 and 37\/1699440.\nAnswer: 1699440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 31 (b) 14 (c) 0.1 (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0.26 (c) 2\/3253\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 238 + j**3 + 12*j + 12*j**2 - 229 - 2*j. Let c be y(-6). Calculate the greatest common divisor of 30 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 0*a - 287 = -2*q - 297, -9*a + 37 = q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 17*h + 91. What is n(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -1985*i + 1. Let p(x) = -1322*x + 1. Calculate 7*p(g) - 5*r(g).\nAnswer: 671*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -200*g**3 + 10*g - 1. Is z(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003003525385 rounded to 5 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -133 + 414 - 536*f**2 - 143 - 139 to the form p*f + j + d*f**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.054488 + 12.4544807. Let d = -12 + 8.4. Let n = d - j. What is n rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.9665 - 23. Let o = i - -0.03349793. What is o rounded to 7 dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-36)*2\/(-8).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -372 in -9, 1, 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 59*w + 55.\nAnswer: (w + 1)*(4*w + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/4168 and 13\/20840.\nAnswer: 20840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/3 + 3320*m\/3 + 26432\/3.\nAnswer: 2*(m + 8)*(m + 1652)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111 (base 2) to base 5.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4)\/o**7*o\/(o**(12\/11)\/o)*o**(-1\/12)*o assuming o is positive.\nAnswer: o**(-1211\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1, 91, 277, 575, 1003, 1579?\n\"Answer: 3*h**3 + 29*h**2 - 16*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-55) + (-30)\/165?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011101 (base 2) in base 12?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3739857 * 0.03.\nAnswer: -112195.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6101480, 12202958, 18304436, 24405914, 30507392, 36608870?\nAnswer: 42710348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2422 = -5*b + 1248. Suppose -170 = -q - 3*d, 0 = 3*q - d + 204 - b. Suppose -4*f + q = -0*f. What is the remainder when 218 is divided by f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -688672*s**2*w - 2*s*w + 6*s - 954*w + 3 wrt s.\nAnswer: -1377344*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = m - 7. Let r = m - -5. Suppose -r = 4*p - 97. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y. Suppose 0 = 3*c - 3*u - 15, 3*u + 10 = -c + u. Let j(k) = 0 - 15*k + 12*k + c. What is j(g(n))?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 37225*f - 632536.\nAnswer: -(f + 17)*(f + 37208)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + 6*y - 8. Let w(q) = -5*q**2 - 17*q + 23. Let b(m) = -5*m**2 + 3*m - 3. Let z be b(2). Determine z*s(p) - 6*w(p).\nAnswer: -4*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 79613165 a multiple of 1163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4333 and 897550.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-18))\/(26\/(-39))*63\/9?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.36 (b) -0.4 (c) -1\/5 (d) -2 (e) -4 (f) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-5 - (7 - 14 - -7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/67 (b) 0.5 (c) 0 (d) -5 (e) -0.3 (f) 90\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.3, -0.1, -1\/7, 1\/6 in decreasing order.\nAnswer: 1\/6, -0.1, -1\/7, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*j - 1115 - 6685 = 0. Calculate the remainder when j is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2, 11, -0.6, -2\/11, -0.7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.6 + -1.4. Let y = -12.7 - -1.7. Let r = y - n. Which is the biggest value? (a) 0 (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 334*g**3*j**3 - g**3*j**2 + 2*g**2*j**3 + 16*g**2*j + 8*g - 15*j**3 wrt g.\nAnswer: 2004*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*j**3*u**4 + j**3*u**3 - 4*j**3 + 9*j*u**4 + 38*j*u**2 wrt u?\nAnswer: -288*j**3*u + 6*j**3 + 216*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 314 - -555. Let b = s + -499. What are the prime factors of b?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 8) in base 12?\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 85, 196, 403, 736, 1225?\nAnswer: 1900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*n = 51963 + 5361. Round n to the nearest ten.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -33, -60, -95, -138?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 16 = -5*v. Suppose 0 = -2*q - k - v*k + 86, -q = k - 47. Suppose 3*b - q = -6. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38 - 38 + 11*k)*(k - 2*k - 3*k)*(-57 - 69 + 28) + (2*k - 2*k + k)*(-2*k + 6*k - 3*k) to d*k + m*k**2 + i and give m.\nAnswer: 4313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 65*m - m**2 + 60*m + 4 - 117*m. Let s = 529 + -518. Give k(s).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 68520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148058 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*z - 31*z - 31*z - 31*z - 39*z + 5*z - 26*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**3\/6 + 10*o. Let k(w) = 14*w + 7*w**2 - 3 - 1 - 11*w**2. Let g(p) = -k(p) + 6*u(p). Factor g(d).\nAnswer: 4*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**3 + 2*v**2 + 22*v + 6171. Let i(q) = 8*q**3 + 5*q**2 + 55*q + 12341. Give -2*i(f) + 5*w(f).\nAnswer: -f**3 + 6173","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-11)\/20*4\/22?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 966 and 322?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1592 and 55202.\nAnswer: 43940792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j**2. Let g(l) be the first derivative of l**4\/6 + l**2 + 39. Let c(n) be the second derivative of g(n). Calculate a(c(i)).\nAnswer: -64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 44*a - 43. Let s be i(1). Let v(u) = u**3 - u**2 + 1. Let p(z) = 34*z**3 - z**2 + 1. Determine s*p(d) - v(d).\nAnswer: 33*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -d - 6, 4*d - 62*s + 6 = -65*s. Solve d = -o - 830 + 829 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - m + 8, -5*s - 4*m - 4 = -30. Suppose 5*u - u + 3*g - 514 = 0, 256 = s*u + g. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m - 11*m = 91 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 515 and -30 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**4\/4 + i**3\/3 - i**2 + 11*i + 5173. Determine d(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37866510 divided by -66\nAnswer: 573735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pca. What is prob of picking 1 a and 1 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2365 (b) 1 (c) -9 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 116 (b) -5 (c) 56 (d) 1\/6 (e) 2\/7 (f) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.15 times -172?\nAnswer: -197.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22472 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b - 204*b - 345*b + 132*b. Let f(k) = -k. Give f(p(v)).\nAnswer: 422*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -5\/2, -33.031, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzdd when four letters picked without replacement from {d: 3, z: 3, n: 2, p: 9}.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*b + 13*b - 10*b. Suppose b = -21*x + 16*x + 5*r + 15, 4*x = 3*r + 10. Solve 5*i - 4 = x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -3*s**3 - s**2\/2 + 4*s + 33. Let u(y) = 9*y**2 + y - 3. What is 3*o(d) + 4*u(d)?\nAnswer: 9*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**5 - 1233*n**4 + 3681*n**3 - 3675*n**2 + 1224*n = 0. What is n?\nAnswer: 0, 1, 408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 4. Let s be b(7). Suppose -13*z - 54 = -s*z. Let l = 62 + z. What are the prime factors of l?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19708042 or 19707964?\nAnswer: 19708042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 + 5*v + 5. Let f = -17 - -14. Let i(g) = -g**2 + 3*g + 3. Give f*h(o) + 5*i(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-10) - 63\/(-105). Solve -m*g - 9*g + 33 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41160 and 703080?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 25 = 4*b, b - 15 = -4*k + k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -3\/911?\nAnswer: -3\/911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3687*n**2 - 2296*n**2 + 5975*n**2 + 5.\nAnswer: -8*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.15181 - 856.15181. What is the nearest to g in -4, 0.4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -5 - (-1 + -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 10985709.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 6:05 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11303.\nAnswer: 89, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 0.7 (c) -28\/11 (d) 49 (e) 0 (f) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-54)*(-10065)\/(-87230)?\nAnswer: -1\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 0 + 0*b**3 - 1\/12*b**4 - 1\/15*b**6 + b + 0*b**2 + 0*b**5. What is the third derivative of s(y) wrt y?\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3082?\nAnswer: 2, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 11011000011?\nAnswer: 11011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4802 - 4801. Solve 0 = j - 4*r + x, 3*r + 8 = 2*j + 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -121212421004?\nAnswer: -121212421012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 427096275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 17*o + 54. Let d be p(-3). Suppose -13*a + 169 = -143. Solve -4*u - w = a, 3*u - 3*w + d = -0*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qpvnvnqvppnpypp. Give prob of picking 1 n, 1 q, 1 v, and 1 y.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2927 (base 10) to base 11\nAnswer: -2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-5)*g**(-4))\/(g*g**1)**28 assuming g is positive.\nAnswer: g**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2179, 462, 4.\nAnswer: -2179, 4, 462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 12\/25 of a kilometer?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 6*q - 189.\nAnswer: 3*(q - 9)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 177*t - 10. Let w be b(-3). Let z = 1233 + w. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*-1*(-14)\/(-21)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b213 - -17?\nAnswer: b22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7211603 to the power of 1\/2, to the nearest integer?\nAnswer: 2685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 2*i + 4. What is v(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 7 - k - 4*k - 7*k - 6.\nAnswer: -11*k - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t + 2*t**3 - 9*t**2 - 3*t**4 + 4*t**2 + 11 + 17 + 7*t**4 + 4*t**2 in the form x*t**2 + n*t + j + c*t**4 + m*t**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*q + 222*q - 20550 = -533*q for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.035.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 602568 - 3*s**2 - 602568.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.53542 millimeters to centimeters.\nAnswer: 2.053542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1754314098 - 11076.\nAnswer: -1754325174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20551, 41099, 61647, 82195, 102743, 123291?\nAnswer: 143839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*o - 26665 + 26665 to the form x*o + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3*u + 0 + u**3 - 4\/9*u**2 + 1\/9*u**5 + 2\/3*u**4 = 0. What is u?\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1.11, -1417, 8 in ascending order.\nAnswer: -1417, -1.11, -1\/2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z - 1. Let y be c(-1). Let l(u) = u**2 + u + 2. Let b be l(-1). Suppose -2*g = -b*a - 2, 5 = -5*g - 3*a + y. Solve 5*p + 0*p - 10 = g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18070 is divided by 174?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 27519*q + 742961. Give u(-27).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 11:49 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**7\/1680 - x**6\/720 + x**5\/20 + x**2. Let i(c) be the third derivative of j(c). Differentiate i(b) wrt b.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1292258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1245069018?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -147*i**5\/5 + 2*i**4\/3 - i**3\/6 - 31*i**2 - 4*i - 878. Find the third derivative of f(b) wrt b.\nAnswer: -3528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, g: 2, d: 1, y: 1, u: 2, n: 1}. Give prob of sequence ng.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 64*u**2 - u - 25. Let c be t(-64). Calculate the greatest common divisor of c and 42.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**4\/24 - z**3\/6 - 5*z**2. Suppose -16 = -11*b + 6. Calculate i(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 204 - (0 + 12\/6 + -3). Suppose 11 = 3*z - 13. Suppose -4*u + v = 3*l, -u - 4*l + 56 = -z*l. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3504242179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14396 and 309438421?\nAnswer: 3599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -27*f**2 + 10*f - 2. Give u(2).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (36 - (2 + -3) - (75 + -71))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -511 - -523. Let k = -17 + 13. Which is the biggest value? (a) -1\/4 (b) p (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3386990 to the nearest ten thousand.\nAnswer: 3390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31104 and 6318?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, q: 1, k: 4, w: 3, d: 3, g: 4}. What is prob of sequence kqwj?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0965866 grams to milligrams.\nAnswer: 96.5866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/19 and 105.94 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 39 = 9. Find the common denominator of -59\/8 and (-62)\/(-24) + (-6)\/k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 194 - 300.1. Let v = 106 + s. Which is the nearest to v? (a) 1 (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 7 = 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 6*a**5\/5 - 1473032*a**4\/5 + 3437024*a**3\/5 + 4419068*a**2\/5 - 687406*a - 2946036\/5 = 0.\nAnswer: -1, -2\/3, 1, 3, 245503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2092261 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 4) to base 10\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.95039kg in micrograms?\nAnswer: 24950390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**3\/9 - 16610*o**2\/3 + 1791424*o\/9 - 1127848\/3 = 0.\nAnswer: 2, 34, 24879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**7\/630 + q**6\/240 - q**5\/120 + q**4\/12 - q. Let w(f) be the third derivative of y(f). Factor w(g).\nAnswer: (g + 1)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 66, 224, 524, 1008, 1718, 2696?\nAnswer: 3984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**5\/5 + 403*l**4\/5 - 3828*l**3 = 0. What is l?\nAnswer: 0, 55, 348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3 + l - 89*l**2 - 90*l**2 + 178*l**2. What is j(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*b**2 + 54*b + 16 = 0. Calculate b.\nAnswer: -2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7618384 + 7618384 + 1398*d**3 - 1399*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 370 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*r**2 + 50 - 50)*(0 + 0 + 2*r)*(-r + 4*r - 4*r).\nAnswer: -24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of ((-4)\/(-20))\/(4\/40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 2*h**2 - h + 673. Is s(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*y**3 - 212*y**2 - 112*y + 80.\nAnswer: -4*(y + 1)*(y + 10)*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -181, -397, -699, -1087, -1561?\nAnswer: -2121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44.4989986 + 44.52. Let o = -153 + 153.021. Let f = o - i. What is f rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9 + 4*n + 6*n + 4 - n**2 - 5. Calculate g(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000589 to six dps.\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 430568712 to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 35135151.\nAnswer: -386486661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 n when three letters picked without replacement from nntnnttn?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1125792 and 14688?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -272a7e7 - -5?\nAnswer: -272a7e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000530313807 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58327585 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**2 - 6*a**2 + 368*a**5 - 369*a**5 wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.52 + -2. Let a = v + -30.52. Let x = a - -30.000026. What is x rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = 12*o + 210. Let u = o + -1. Let g = u - 1. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*p, 9*p = -3*s + 4*p + 40. Suppose -s = -l - 1. Suppose m = -l*m + 10. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 1:17 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1893646*0.5.\nAnswer: 946823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25632970, 25632966, 25632962, 25632958, 25632954?\nAnswer: 25632950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -6*p + 5*p. Let x(g) = 2*g. Give x(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3072, -2, 1547?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17379 is divided by 8678?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 459 + 1587. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401777.\nAnswer: 131, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**6\/120 - i**5\/15 - i**4\/24 + 5*i**3\/6 + 10*i**2. Calculate the smallest common multiple of 14 and v(-4).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j - 168 = -10*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjttjjtcjtj. Give prob of picking 2 c.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z**3 + 7*z - 14. Let w(h) = -h - 1. Give -g(p) + 14*w(p).\nAnswer: -7*p**3 - 21*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**2 + 2*x + 2. Let z be (0\/2)\/(16 + -17). Suppose z = 116*o - 114*o + 4. Give k(o).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*t**2 - t**3 + 2*t**2 - 22*t**3)*(-t - t + 3*t).\nAnswer: -23*t**4 - 9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 14 = 11*i. Suppose -3*x + 2*x = -f + 6, f + 3*x = i. Let b be (6\/4)\/((-6)\/(-32)). Do f and b have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -8. What is the smallest common multiple of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j**3 - 11*j**2 - j + 11. Let m(b) = 4*b**3 + 9*b**2 + b - 12. Let v(f) = 5*d(f) + 6*m(f). What is v(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 0.3 (c) -4 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 253?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, v: 10}. Give prob of picking 4 k.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132 + -88. Let j = h - -179. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**5 + 6*o**2 - 101. Let b(x) = -2*x**2 + 34. Let l(n) = -8*b(n) - 3*k(n). Find the third derivative of l(g) wrt g.\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 22*h + 20*h - 1224 = 0, 4*p + 981 = -h. Let m = p - -270. What is the greatest common divisor of m and 648?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160 - 20. What is u rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -448065, -896130, -1344217, -1792338, -2240505?\n\"Answer: -2*o**3 + o**2 - 448054*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13c (base 15) in base 5?\nAnswer: -2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 59. Let i be x(-18). Suppose 36*y - 325 = i*y. Let p = -63 - y. Which is smaller: 7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66323?\nAnswer: 29, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 138\/(-2415) - 152534\/(-70) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1 - -1*4. Let c = r - 0. Let a be (-3)\/(-9) - (-1 - -3) - -1. Put a, -0.2, c in decreasing order.\nAnswer: c, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 8 = -6*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -220012001 (base 3) in base 2?\nAnswer: -100010011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-12\/5)\/t)\/(((t*t**(2\/17)*t)\/t*t*t)\/t*t) assuming t is positive.\nAnswer: t**(-554\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 2\/5, -31, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 - 106. Let j = -14 - g. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, 3\/4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374805361*j - 270234665281\/4 - 1559523\/2*j**2 - 1\/4*j**4 - 721*j**3 = 0 for j.\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/1*(-3 + (-63)\/(-9)). Solve 32 = t*v - 0*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 797189 - 2036817922\/2555. Calculate the common denominator of h and -6\/5.\nAnswer: 2555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -2. Let p(g) = -g**3 - 9*g**2 + 12*g + 17. Let k be p(-10). What is the units digit of 1\/w + (-43)\/k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.8378 weeks in minutes?\nAnswer: 441885.024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87359 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 5 - (16 + -14 + 10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63521507 is divided by 9074500?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*j - 5*q, -2*j + 23 = 5*q - 6. Let v(f) be the first derivative of 3\/28*f**4 - 5 + 9\/14*f**j - 3\/7*f - 3\/7*f**3. Factor v(g).\nAnswer: 3*(g - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/7163, -2\/7, -14, 0.4, -1\/4.\nAnswer: -14, -2\/7, -1\/4, -16\/7163, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 511792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 7:34 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 157*u - 120*u**2 - 112*u**2 + 299*u + 127*u**2 - 468 - 3*u**3 = 0?\nAnswer: -39, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 8223435?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2487762 and -0.07.\nAnswer: 2487761.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-4)*160\/24. Let z be (-4)\/l + 4\/(-10). Suppose 4*g + 4*w - 24 = 0, 6*g - g = 5*w + 20. Solve i + 2 = g*t + 3*i, z = -4*i - 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-8 + 14 + 5 + -16)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 3*n = -5, 12*f - 9*f + 2*n = -4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 64 = 76*y - 71*y, -5*l - 31 = -3*y. Solve y*c - 8*c - 4 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685 is divided by (-518)\/2331 + 3766\/18?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1085372799 to the nearest integer?\nAnswer: 32945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**3 + 8*p**2 + 6*p - 4. Let f(n) = -3*n**2 - 1 - 4*n + 5*n + 4*n**2. Let b be 88\/110*75\/(-10). Give b*f(w) + q(w).\nAnswer: 2*w**3 + 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19917 is divided by 33?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-3 - (-14)\/2). Solve 0 = 4*c - 2*c + k*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*y - 26 = 2, 3*y = 4*w + 56. Let s = w - -15. Solve s*v = -v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 11011011?\nAnswer: 11011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1208*s + 2 = -1207*s + w, 0 = 2*w + 8. Solve 82 = s*r + 70 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (-3 + (2 - -14)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/5)\/(c\/(c*c**(-6))*c)*(((c*c**(-2\/7)\/c*c)\/c)\/c)**(1\/26) assuming c is positive.\nAnswer: c**(-5869\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 10*h - 48 - 25. Solve 60 - 66 = -h*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 9*h + 9. Give o(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3697 times 0.5\nAnswer: 1848.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 52*(-2 - -6 - 3). Let f = y - 32. Suppose -2*k + 7 = -7. Calculate the remainder when f is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67\/1072*(-28 - -1020).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 9*h - 3. Let v be p(9). Let y be 1\/v + 5\/(-3). Put -4, -1, y in decreasing order.\nAnswer: -1, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 40, 4, 26, 1, 3, -2?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 5:56 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 43*q**3 + 5*q**3 - 2*q - 46*q**3 + 2*q**4.\nAnswer: 2*q*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*c**3 + 5*c**2 + 24*c**2 - 29*c**2.\nAnswer: 36*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1797672 - -2.1\nAnswer: -1797669.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -79*r**3 - 75*r**2 + 9. Let b(i) = -40*i**3 - 38*i**2 + 4. Let h(p) = -9*b(p) + 4*t(p). Find the third derivative of h(g) wrt g.\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7136*0.036\nAnswer: 256.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 + 22)*(17\/(-5) + 3)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 5:12 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 23.3 * -2\nAnswer: -46.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -1, -0.5, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -372 and -4.2.\nAnswer: -376.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + -20 + 18 + 19 - (-2 - (-4 - 3))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 6:16 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 450 (base 9) in base 12?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 119574 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30906 + -12580. Suppose 68*q + h = 90*q. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 585 = -22*v. What is the common denominator of v\/(-32) + (-7)\/((-210)\/(-45)) and (-2)\/40 + (-1)\/(-2)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(3\/5)*(t\/t**(1\/7))\/t*(t\/((t**(-4\/7)\/t)\/t))\/t*t*t**(-5) assuming t is positive.\nAnswer: t**(-34\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 895 = -0*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16348726 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j - 3*j - 3 + 9*j + 2*j + j**3 + 19 to s + h*j**3 + v*j + l*j**2 and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 4*z - 209 + 359 = -372 for z.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 54. Suppose -30*z + 31*z - p = 0. Put z, -33, -3 in decreasing order.\nAnswer: z, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + c = 1, -5*f = -2*f + 5*c - 21. Solve d = -f*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4648571kg in micrograms?\nAnswer: 464857100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2523 times 20\nAnswer: 50460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7 - 3 = 2*u, 2*u + 11 = 3*f. Let t = u - -23. Suppose -7*i = -138 + t. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 34077?\nAnswer: 1\/34077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*u - 17*u + 163*u**2 - 160*u**2 - 74*u.\nAnswer: 3*u**2 - 41*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 16, 13*o + 31 - 7 = -4*x. Let d(a) be the first derivative of -x + 27*a + 3*a**3 - 1\/4*a**4 - 27\/2*a**2. Factor d(b).\nAnswer: -(b - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*l + 56*l**3 - 676*l**3 - 104*l.\nAnswer: -620*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22645073, 22645072, 22645071, 22645070, 22645069, 22645068?\n\"Answer: -c + 22645074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z**5\/2 + 2301*z**4\/4 - 140781*z**3\/4 + 663537*z**2\/4 + 9975*z\/4 - 267525\/2 = 0.\nAnswer: -174, -5\/6, 1, 5, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 156839 = -5*i, 5*b - 261460 = 32*i - 28*i. Is 21 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191822170 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 131601.\nAnswer: -3\/43867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/4291 (b) -259 (c) -1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (30\/9)\/2. Let u = -2198.05 - -2198. Which is the third smallest value? (a) l (b) -3.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y**3 + 173*y**2 - 7*y - 170. Determine o(-43).\nAnswer: 1980","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((sqrt(288) + 0)*-5)**2 - (0 + sqrt(288) + -2)) + 2)*1.\nAnswer: -36008 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**4\/12 + 7*s**3\/6 - 5*s**2 + 4*s - 18. Let l(m) be the first derivative of y(m). Calculate l(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-5)*k\/(k\/(k\/k**5))*k)**(-2\/5)\/((k*k*k**(-1\/9)*k)\/(k**(-1\/4)*k)*k\/(k\/(k**(-1\/5)*k))*k**(-2)*k*k) assuming k is positive.\nAnswer: k**(-5\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*o + 30*o + 1116210. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29.6 - 20. Let z = k + -10. What is the closest to 0.1 in 5, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.032 to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/3 (b) 4 (c) -489 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4116 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 114, 302, 670, 1278, 2186?\nAnswer: 3454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**3\/3 + 115*x**2\/3 + 1202*x\/3 + 1155 = 0.\nAnswer: -45, -7, -11\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (11 - 6) + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, d: 10, s: 1, v: 1}. What is prob of sequence dd?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 12*v + 11. Suppose 2*p - 5*d = -17, 39 = -3*p + d + 7. Let x be n(p). What is x rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/9*18\/(-12). Let g = -5.03 - -0.03. Let s = g + 2. Sort q, s, -0.4 in descending order.\nAnswer: q, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32409?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (4 - -3 - (-10 + 17)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*v + 6*v - 8*v)*(-10*v**2 + 11*v**2 + 37*v**2) to r*v**2 + w*v**3 + p + d*v and give w.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 628240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*d - 18 + 4. Let m(w) = -7*w**3 - 6*w**2 - 2*w + 8. Let t(g) = g**3 + g**2 - 1. Give d*m(o) - 6*t(o).\nAnswer: o**3 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1488804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q - 15. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50671\/21 + 2412. Calculate the common denominator of 40\/27 and n.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o - 3*o + 38 - 38.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29987101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - g**4 + 1)*(2 - 2 + 2) + g - 2 + 7 + 5*g**4 - 8*g**4.\nAnswer: -5*g**4 + g + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.478517 millilitres?\nAnswer: 0.003478517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9196 - 91839\/10. Find the common denominator of -35\/1454 and i.\nAnswer: 7270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 3:11 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 6:42 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.35, -1.9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -925 + 928. Solve -q*w + 5 = 2*b, 0*b - 5 = -2*w - b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 2:02 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-435)\/(-5133)*59 + (-34)\/6)\/((-26)\/6).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1\/19 (c) -2\/5 (d) -29\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/11 and 3\/(-8)*(-46)\/(-267)?\nAnswer: 3916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3421\/3 + -1116. Let n = k - 24. Let p = -128\/95 + 18\/19. Which is the closest to 2\/7? (a) p (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*u = -709 - 685. Is 65 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1452 is divided by 305?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71820000 rounded to the nearest 1000000?\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7*s**(-1\/11)*s)**(-19)\/((s**(-2\/17)*(s**4*s*s)\/s)\/(s\/(((((s\/(s\/((s*s**(-2\/5))\/s)))\/s)\/s)\/s*s)\/s))**44) assuming s is positive.\nAnswer: s**(35946\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 - 4. Let q be (-1)\/((-2)\/8)*1. Suppose -q*p + 3*d = -d, 2*d - 6 = 4*p. Let o be p*2\/(-3)*2. Let z(t) = 3*t**3 - 5. Determine o*z(j) - 5*g(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) - (sqrt(363) + sqrt(363) + -5 + 3)) + -5 + (1 + (sqrt(108)*-1)**2 - ((sqrt(108) + 2)*-5)**2).\nAnswer: -2694 - 611*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73 and 10366.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7533.39*0.1\nAnswer: 753.339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.633 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 6) in base 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Calculate the remainder when 6801 is divided by 358.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r + 16. Let j(w) = 2*w - 7 + 6 + 3 + 8. Let a(s) = 5*g(s) - 8*j(s). Let u(h) = 2*h**2 - 14. Determine a(u(k)).\nAnswer: -2*k**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -171539\/12 + 14295. Let x(n) be the third derivative of -1\/6*n**4 - 26*n**2 - f*n**3 + 0 + 0*n - 2\/15*n**5. Factor x(m).\nAnswer: -(4*m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -365, -564, -763?\nAnswer: -962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/2)\/((-3)\/(-2)). Suppose 4*s = 4, 4*x + 3*s + 519 + 598 = 0. Let m = x + 4202\/15. Is h smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130\/(-2925)*((-10)\/6 - 176\/(-165))?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -32. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/((g**23\/g)\/g)*g)*g\/g**(-5)*(g**6\/g)**(2\/79))**5 assuming g is positive.\nAnswer: g**(10320\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32776553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -558643*g**3*v + 2*g**3 + 518596927*g**2 + 617*v wrt v?\nAnswer: -558643*g**3 + 617","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -6. Suppose a*i - 2 = 4*i. Suppose -6*t + 2*t = 4*j + 8, -3*j = -3*t + 6. Is i not equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -469*r**3 + 592*r**3 + 1743*r**3.\nAnswer: 1866*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8043 + 8078. What is the nearest to 0 in 3, 3\/5, s, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 4 = -74. Let j(p) = -2*p**3 + 20*p**2 + p - 5. Let l be j(c). Let g(z) = 11*z**2 - 10*z**2 - l*z**2. Let v(r) = 2*r**2. Calculate g(v(x)).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -159204 - -235901. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -3*o - 238*j + 240*j - 99, 0 = 10*o + 4*j + 222 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8305 and 317251?\nAnswer: 1661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42819 and 12?\nAnswer: 171276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b + 119*b - 266112 = 13*b. Calculate the lowest common multiple of 5103 and b.\nAnswer: 56133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1102458 and 787470?\nAnswer: 5512290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 14. Let s = d - 16. Let p = s - -37. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -9797?\nAnswer: -9799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 252.255 to zero decimal places.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -10*l - 676. Let a(j) = 3*j + 224. What is 14*a(x) + 4*q(x)?\nAnswer: 2*x + 432","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**4\/17 - 880*s**3\/17 - 8028*s**2\/17 - 24192*s\/17 - 24246\/17 = 0.\nAnswer: -3, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 144*f**2 + 30542*f + 1319. What is r(-261)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 66 = 4*g. Let k be (-276)\/(-66) + 4\/g. Differentiate k - 4*b**3 + 0 + 2 - 2 wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 13) to base 10\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + 1 + sqrt(1053))*-6)**2 - (2 + sqrt(325)*1).\nAnswer: 1291*sqrt(13) + 151666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 divided by 1?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - s - 15. Suppose 9*g - 4*g - 33 = 2*u, -5*u - 5 = 3*g. Let r be o(g). Solve 22 = 4*b - 0*b - 2*h, 0 = -r*b + 4*h + 29 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111111000 - 0?\nAnswer: 11111111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s + 6*s + 160 = -15 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 38 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1908 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: Let p = -9 + 7. Let j(n) = n**3 + 4*n**2 + 8*n + 15. Let b be j(-3). What is the closest to p in b, 0.4, 1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 6:23 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 - -0.01. Let v = 3.96 - h. Let w be 1\/(-4) - (-1)\/2. What is the closest to w in v, -0.3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -18, -24, -32, -42, -54, -68?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -765\/3076 - 1\/769. Which is the biggest value? (a) 3 (b) 0.1584 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -16*z + 65. Let a be x(-5). Let b = a + -145. Solve b*o + 2*o = 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14\/13 - -12\/13. What is the closest to -0.2 in 3, -0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000711608 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 11*w + 7. Let n be f(-11). Let o = n - 4. Is 3 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-3)*2\/12. Let g = 5 + -8. What is the nearest to 1 in 0.2, g, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*sqrt(180) + 6*sqrt(180)*3)**2 + -4.\nAnswer: 233276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 9*y**2 - 2. What is b(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -48559, -48471, -48383, -48295, -48207, -48119?\n\"Answer: 88*j - 48647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1034315232 (base 6) to base 5.\nAnswer: 10322124144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -48. Let b be (-3)\/r*(-5 + 2). Suppose b*k + 4 = 4*k. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*q - 13 = -2*q, d = 4*q + 7. Let c be (-20)\/3*288\/(-80). Let l be c\/(-7) + (-16)\/28. Put 5, l, d in descending order.\nAnswer: 5, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 165316 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -516 - -876. Suppose -2*s = -5*s - i. What is the smallest common multiple of (48\/s)\/(2\/(-80)) and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3898*x - 238606 = -2437 + 2436 + 14765 for x.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.3, 1, -1\/6, -8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 221075 - 5?\nAnswer: 221070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -1. Suppose 3*m = 3*a - 15, 0 = -v*m + 4*a + 1 - 18. Suppose -2*t - 7 = h, -h - 3*t - 8 = -2*h. Which is smaller: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1460 by 10.\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -335 (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-17 - -35) - (1 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -235, 0, -5, 258, -1, 2 in decreasing order.\nAnswer: 258, 2, 0, -1, -5, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 5*t**2\/3 - 101570*t\/3 - 813520 = 0.\nAnswer: -24, 20338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**3 + 15*g**3 + 11*g**3 - 8*g**3.\nAnswer: 22*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 0*o + 4*o)*(0*o - 2*o + 8*o) - 29*o + 29*o - 20*o**2.\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -437, -940, -1643, -2546?\nAnswer: -3649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.709279 millennia in decades?\nAnswer: 470.9279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k - 3. Let t(c) = 40*c - 2 + 0*c - 19*c + 5 - 18*c. Determine -4*o(p) - 5*t(p).\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -5, 64 in ascending order.\nAnswer: -5, 1, 3, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 6*l - 287830 = -7*l, 0 = 3*c + 5*l - 123342. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 21*a + 5 = 0. Suppose n = 5, -2*n = a*g - 525 - 685. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3483, -4407, -5321, -6219, -7095, -7943, -8757?\n\"Answer: m**3 - m**2 - 928*m - 2555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**2 + 21*y**2 + 11*y - 8*y**2. Let l(t) = 3*t**2 + 4*t. Calculate 11*l(h) - 4*r(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 40, 77, 126, 187?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/(-24))\/((-6)\/9). Which is the closest to -0.1? (a) 0.5 (b) 2\/7 (c) m (d) -110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 61977, 123937, 185879, 247803, 309709, 371597, 433467?\n\"Answer: -9*x**2 + 61987*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 9*o**2 + o - 7. Let u(j) = -3*j + 18. Suppose 4*w + 2*g - 16 = 0, w - 3*g + 3 = -0*w. Let q be u(w). List the prime factors of r(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = l + 148, -2*l - 1 - 3 = 0. Let k = 105 + b. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1*(-440)\/(-7480).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18050, -18043, -18036, -18029, -18022?\nAnswer: -18015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200 and 10852850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -3*v - z + 736, 5*z - 1570 = -5*v. Let y(x) = -6*x**3 + 15*x**2 + 70*x + 138. What is the remainder when v is divided by y(-2)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 10. Let l = 9 + b. What is the highest common divisor of 24 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34722*w**3 - 34726*w**3 - 34729*w**3 + 104170*w**3.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*j**2 + 109*j**2 - 12 - 22 - 73*j**2.\nAnswer: 130*j**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42480*d**3 + 120622*d**3 + 115788*d**3 - 35240*d**3.\nAnswer: 243650*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4606 + 4722 = -524*w - 59*w for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 1:44 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103*h - 411*h - 4954 - 6134 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 108230702.\nAnswer: -432922808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -0.4, -1, -0.11, -22, 24 in ascending order.\nAnswer: -22, -1, -0.4, -0.11, 17, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22274653 by -63101.\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g - 259. Determine u(-40).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w + 4 = 0. Let l be -1 - (-3)\/2*w. Solve 6 = -m + l*c, 0 = 2*m - 5*c + 2*c + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -17*l. Let w(j) = -1649*j. Give w(g(a)).\nAnswer: 28033*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/16)\/(65\/(-104)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*d + 3*d. Suppose 0 = d*j - 5*x - 34, 6*j - 2*x - 13 = 5*j. Differentiate -5*p**j + 15*p - 15*p + 17 - 8 with respect to p.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40677137 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -165, -157, -147, -135, -121?\n\"Answer: t**2 + 5*t - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 281980 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 41*f**2 - 4*f. Let h(g) = -10*g. Calculate i(h(w)).\nAnswer: 4100*w**2 + 40*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-14 + 34 + -27 + -6 + 3).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -14. Suppose o + 15 = y*o. Which is the second biggest value? (a) -4 (b) o (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33410825521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -10. Suppose 2*z - 6*c = -3*c + 17, -3*z = -4*c - 24. Solve 4*p - 21 = -3*h, z*p - h - 4 - d = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12430000 to the nearest 100000.\nAnswer: 12400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**9)**28 assuming u is positive.\nAnswer: u**(-196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 27\/2 of a second?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s. Let j(h) = 14244*h**2. Determine n(j(y)).\nAnswer: 14244*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*d - 562 + 3240 = 0 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14\/27 (b) 139 (c) 5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. Suppose y*q = 3*m + 133, -2*m + 258 = 3*q + q. Suppose 0 = -n - 4*b + 32, b - q = -5*n - 0*b. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(88) - sqrt(88))*-3 - (sqrt(88) + sqrt(88) + 4*sqrt(88)*-2 + sqrt(88)))\/(-2*(sqrt(800)*1 + sqrt(800)) + sqrt(800)).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - v. Let b be g(0). Suppose -2 = f - 6. Let w be 1\/f - (-140)\/16. Solve 3*i = -b*i + w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3 (b) 679 (c) -423\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o. Let x(p) = -p**2 + 32. What is b(x(n))?\nAnswer: n**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 308*y + 3 = 309*y, 2*u = -4*y - 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 84 = 15*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1661*k**2 + 16*k + 124. Let o be h(24). Let l = o + -503772. Round l to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqsmkgmlmmssssmgm. Give prob of picking 1 m, 1 g, and 1 l.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153391 is divided by 153175.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5584, -44522, -150066, -355474, -694004, -1198914?\nAnswer: -1903462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 12:26 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 105*z**2 - 540*z.\nAnswer: -5*z*(z + 9)*(z + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*w**5 - 216*w**4 + 603*w**3 - 710*w**2 + 372*w - 72.\nAnswer: (w - 3)**2*(3*w - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4278824.\nAnswer: 2, 11, 48623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1000)*-2 - sqrt(1000) - sqrt(1000))*1*6)\/(2*(sqrt(8) - sqrt(2)) + sqrt(24)\/(1*sqrt(12))))**2.\nAnswer: 32000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -50375 times 0.07\nAnswer: -3526.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 111000111111101?\nAnswer: 111000111111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187403446?\nAnswer: 2, 37, 2532479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**4\/12 - a**3\/3 - 3*a**2\/2 + a. Let w be k(-2). Let b = 0 + w. Solve 5*t - 16 = f - 3, 0 = -b*t - 5*f - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166642166615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9349?\nAnswer: 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 185.44 * 6.\nAnswer: 1112.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-60))\/(12\/(-8))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 41600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -12*a**2 - 7*a - 12. Suppose 18 = 16*j - 19*j. Let n be x(j). Let b = -270 - n. Calculate the highest common factor of b and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2187353*k**3*t - k**3 + 12*k**2*t + 220659*k*t wrt k?\nAnswer: -13124118*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15377 is divided by 856?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g - 16*g**2 - 4*g**2 - 3*g + 3*g in the form l + p*g**2 + t*g and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-4\/7))\/(m\/(m*m*m**(-1\/23)*m))*m**(-1\/8)\/(m*m**(-2\/45)) assuming m is positive.\nAnswer: m**(75611\/57960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2445, 4868, 7291, 9714, 12137, 14560?\nAnswer: 16983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*i - 136, 0 = -4*r - 4*i + 165 - 5. Solve 11*u + r = 98 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614 + -28.3079?\nAnswer: 1585.6921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3be08 (base 16) in base 2?\nAnswer: 111011111000001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 5 + 5 + -14 + -2 - -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + p - 2254 = -2257, -3*a = -2*p + 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14f + 1?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yaaaacadaaffag. Give prob of picking 2 f.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 70*z + 1960.\nAnswer: -5*(z - 14)*(z + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m = 10*m - 4*m - 68. Solve -m*y + 5*y - 3*z = 1, -3*y - z = -3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-32)\/(-480) - 8398\/(-30) and 210.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((0\/5)\/(-3) - -7)\/(-1). Which is the nearest to 0.1? (a) 1 (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + (-1*-3*sqrt(637) - (-2*sqrt(637)*-5 + sqrt(637))))**2.\nAnswer: 336*sqrt(13) + 40777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3565 and 7130?\nAnswer: 7130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 27 - 21) + (0 - -7) - 3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**4 - 17 - 12*d**3 + 3*d**3 - 9*d**3 + d + 3*d**4 + 16*d**3 in the form k*d**2 + v*d**4 + b + c*d + p*d**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 165284 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -22. Suppose k = 5*k + 4. Let r be -2*3\/(-2) + k. Solve 0 = d - 5*g - 10 - r, -4*d - 3*g + 2 = o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + (114\/(-21))\/((-13)\/((-1092)\/120)). Factor -2\/15*q**2 - y + 28\/15*q.\nAnswer: -2*(q - 12)*(q - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -13*p**3 - 15*p**2 - 16*p - 2. Let l be n(-1). Solve 6 = -34*a + 31*a + 5*j, 0 = 3*a - 3*j + l for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6\/17)*r\/(r*r\/(r**(-9\/7)*r)))**(-1\/39))**(-2\/81) assuming r is positive.\nAnswer: r**(-10\/9639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17910619 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33.21 + -33. Let u = j - -0.39. Let p = 0.3 - u. Which is the second smallest value? (a) 0.4 (b) 4\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15922865, -15922861, -15922853, -15922841, -15922825, -15922805?\n\"Answer: 2*p**2 - 2*p - 15922865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8\/5*(-12)\/(-24)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -96, 37, 10 in decreasing order.\nAnswer: 37, 10, -0.9, -96","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991624.\nAnswer: 2, 123953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 9, -6 = p + 2*p - 2*l. Suppose -j - j = p. Suppose 7 = m - j. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than -0.98154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 15485?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260421 and 1113.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13836 is divided by 4222?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 5\/3, 32.3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 6*p + 42 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -12*x**3 + 3*x**2 - 3*x + 23. Let k(h) = -11*h**3 + 2*h**2 - 2*h + 22. Give -2*c(p) + 3*k(p).\nAnswer: -9*p**3 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37796735 is divided by 266?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d (base 16) to base 2.\nAnswer: -111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11008347 to the power of 1\/2, to the nearest integer?\nAnswer: 3318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a7260 + -3?\nAnswer: 1a7259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-400)\/6)\/((-12)\/(-1116)). Round m to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1787.\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12636 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/6652655 and -26\/36755.\nAnswer: 6652655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 0*z**2 - 1 + 0*z + 5\/3*z**3. Let i(y) = 66*y + 29*y + 0*y**2 + y**2 - 95*y. Calculate u(i(r)).\nAnswer: 5*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1367 divide 865525619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((6\/4)\/1)\/((-6)\/(-1544)).\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 13\/3*d**3 + 0*d + 5\/6*d**6 + 0*d**4 + 0*d**5 - 16 + 0*d**2. Find the third derivative of g(y) wrt y.\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 + 59. Let z(c) = 2*c**2 + 2*c - 6. What is z(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 999 + -959 + (1 - -24) - (-23 + 1)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2053.\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 123*d**5 + 9131*d**4 - d**3 - 558*d**2 + 90*d + 1103?\nAnswer: 7380*d**2 + 219144*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 186896774819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*m + 5. Let v(s) = -31*s - 22. What is the remainder when v(m) is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -129 (base 11) to base 5.\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51367*d - 347*d**2 + 51367*d - 4156*d**3 wrt d?\nAnswer: -24936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1127 = 261. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -114.2 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2. Let a(g) = g**2. Calculate -3*a(c) - 2*x(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -35. Suppose y = z - 2*o, -3*z - 1 = -5*z - 3*o. Calculate the remainder when 8 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*c + 223*c + 242*c - 692*c.\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ku when two letters picked without replacement from rbrrzdduddbkrkkkrr?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/21 + 3149674*m**2\/21 + 1240069961696*m\/21 + 3720124844376\/7.\nAnswer: 2*(m + 9)*(m + 787414)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39086.856 rounded to the nearest 1000?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 8:27 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.021 (b) 4 (c) 0.01 (d) 0 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3705*g - 1836*g - 1841*g - 1148 = 0 for g.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 + 5*l + 4. Let b be v(3). Let a be 8 - 8 - (-1)\/b*171. What is the second derivative of 177 + 48*o + o**2 - 348 + a wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39207 and 256620?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1254\/154 + (-8)\/1\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-27)*(11 - -22)\/(-11)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22416 and 5392449?\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 5*f = -235. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*w + 21. Suppose -43 = -z + 12. What is the remainder when z is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 4 - (4 - 11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13193?\nAnswer: 79, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*o**6 + 6*o**4 - 49*o**5 + 27*o + 60*o**5 - 6*o**4 - 4*o**6 + o**2 wrt o.\nAnswer: 480*o**3 + 660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(119) + (sqrt(119) - -3*sqrt(119)) + sqrt(119) - sqrt(119)))\/sqrt(7)*-4.\nAnswer: -120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5932, -5531, -5166, -4855, -4616, -4467?\nAnswer: -4426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 652 (c) 15 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/7 in 0.1, -7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.07, -2\/7, -17?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -108*n + 5. Determine j(1).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 13*z + 30. Let s be k(-2). Let c(q) = q**3 + q**2. Let j(f) = -126*f**3 + 4*f**2 - 143. Let a(t) = s*c(t) - j(t). Differentiate a(m) wrt m.\nAnswer: 390*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from iigiziqyz?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69\/187 - -7054\/187. Let u be (65761 - 0)*3\/5181. Let f = u - r. Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103 + 11. Let v = c - 79. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*z - 16, 3*a = 3*z + 3 + 3. Let u be -1 - -19 - 1*a. Suppose 2*f = f + u. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 256*j**4 - 33*j**3 + j**2 + 4749*j wrt j?\nAnswer: 6144*j - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k = -10. Let n = -7 + 9. Suppose 2 = -n*y, h + k*y = -1 + 4. Solve -b + 2 - h = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*u**(-4\/3)))*u\/u**(-5\/7))**(-6\/23)*(u*u**(2\/7))**(-17)\/((u\/(u\/(u\/u**(-2\/11)*u)))\/u*u**(-5)) assuming u is positive.\nAnswer: u**(-4655\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 1020*v + 241357. What is m(-371)?\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1726196*k**4 - 25*k**2 - 19184*k wrt k.\nAnswer: 41428704*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147) - (sqrt(147) + -1 + -4)) + 6*(-1*sqrt(147) + sqrt(147) - sqrt(147)))*3 + -3 + ((sqrt(147) + -2)*-3 - (1 + -2 + sqrt(147))))**2.\nAnswer: -5852*sqrt(3) + 71509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, s: 2, d: 2, w: 7, u: 2}. Give prob of sequence dss.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**7\/560 + 7*y**6\/320 + 3*y**5\/32 + 9*y**4\/64 - 1897*y**2. Factor n(k).\nAnswer: 3*k*(k + 1)*(k + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*x - 4481, -3*x + 6717 = 2*g + g. What is the greatest common divisor of g and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48932.46323 rounded to the nearest 1000?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 2:33 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59935*l**4 - 80298*l wrt l?\nAnswer: -719220*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19070959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + f - 22. Determine l(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -12107*i - 17. Let w(j) = -5. Calculate -s(b) + 3*w(b).\nAnswer: 12107*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1732 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 3*g - 2. Let h be t(3). Let u be (4\/32)\/(h\/(-4)). Let n be (6\/4)\/((-108)\/(-16)). Which is the second smallest value? (a) u (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 11*i - 8. Let h be u(-11). Let a(x) = -4*x + 5. Let y = -5 - -8. Let c(b) = -11*b + 14. Determine h*a(v) + y*c(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/20 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -100013 - -5?\nAnswer: -100005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**9*m**(-1\/6) assuming m is positive.\nAnswer: m**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103 + 119. Let y = d + -127. Does 19 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 304*u + 23104.\nAnswer: (u - 152)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*k - 12. Suppose -2*s + 2 = -k. Suppose 25*u - 16 = 34. Sort -3, s, u in descending order.\nAnswer: s, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -141\/87850 and -107\/61082.\nAnswer: 383289550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n = 0. Let v be (n - 0)\/(-1*2). Is 10 + (v + 2 - 5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18894 + 18878. What is the closest to 0.3 in g, -2\/7, -2\/5, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 16. Suppose k*t = 3*t + 645. Find the common denominator of (t\/4)\/(-5) + 0 and 41\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 1957 + 2657. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/5)*(r**(-2\/7)*r)\/r)**(-2\/7)\/((r\/(r\/r**(-1\/3))*r)\/r*r**(-6))**(1\/11) assuming r is positive.\nAnswer: r**(5777\/8085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 5*d - 5. Give z(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2812732 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9029085?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15527 + -2965?\nAnswer: 12562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.958 and 1.\nAnswer: -0.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (6 - 10) + (7 - -2) + 1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2 = -4*i. Suppose 1074*n - 1086*n + 36 = 0. Solve -i*s - k + 4*k = -1, -1 = 4*s - n*k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prphvpkrrv. Give prob of sequence pp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*d + 59 = 29 + 534 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0111 + 0.4211. Put 0, m, 5, -2 in ascending order.\nAnswer: -2, 0, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**3\/2 + 435*u**2\/2 - 11379*u + 11160 = 0 for u.\nAnswer: -186, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 8:53 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3430226 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 45448 times -182?\nAnswer: -8271536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 422343.3 grams?\nAnswer: 422.3433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56.8 - 59. Let h = -1.8 + l. What is the nearest to -1\/3 in h, -2\/5, 2\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1005*v + 1010*v = -2*c - 5, 0 = 5*c - 5*v - 40 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 6*h + 4381 = -332*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 176*b - 89248. What is g(507)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, -0.2, -5\/3, 525, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2*v - 19 = 0, -3026*l - 18 = -3024*l - v for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -44 and 0.21116.\nAnswer: -9.29104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -63872411 bigger than -63872410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8782 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-5)*(-2)\/56.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 - 76. Let t(q) = -13*q - 6. Let p(u) = u + 1. Let h(r) = 3*p(r) - t(r). Is h(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 - 2*p**4 - 2*p**3 + p**3 + 11*p**3 - 9*p**3 to the form z*p**4 + c*p + g + k*p**2 + d*p**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**(20\/3))\/v)*v**(2\/11))\/(v**(-2\/9)*v**(-5)*v) assuming v is positive.\nAnswer: v**(-125\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 16 = -4*g, 5*g - 764*l = -768*l + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69957 is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/30*-1)\/(4 + (-244)\/60)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -58087497, -58087508, -58087519, -58087530, -58087541, -58087552?\n\"Answer: -11*p - 58087486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 290139.69 minutes to hours.\nAnswer: 4835.6615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 - 185*b**3 + 1265*b**2 - 1075*b.\nAnswer: -5*b*(b - 5)*(b - 1)*(b + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (113 - 126 - (-9 + 2 + -5)) + -40\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1964 - -2013. What is the remainder when 6320 is divided by k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f = -10*f - 24. Suppose -4 = -f*w - 5*l, 2*w - 3*l = 16 + 8. Solve 0 = -4*h + 2*o - 14, 7*h - o + w = 6*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - z - 5, 10*z - 6*z - 24 = -3*o. Suppose -5*v - b = -2*v - 348, o*v - 3*b = 464. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -350 - -593. Let m = r - 143. Calculate the greatest common factor of m and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 147 in -1, -5, -4, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8*t + 467. Let v be x(-58). Let s be ((-18)\/(-8))\/(3\/(-48)). List the prime factors of ((-9)\/(-3) - s) + v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 6*n - 2*n)*(2*n + 0*n + 0*n)*(-1 - 3 + 5)*(-7*n**3 + 5*n**3 + 0*n**3).\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2. Let x(p) = -2304*p**2 + p. Give 2*o(f) - x(f).\nAnswer: 2302*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x. Let d = 680 - 378. Suppose -4*n + d + 610 = x. List the prime factors of n.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -5, 1, 3\/4, -33?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 0)\/1 + -6. Let u = k - -11. Suppose 0 = w + j - 2*j - 334, -2*j = -u. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 31\/2 of a millimeter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 10 = h + 4*l - 12, 3*h - 6 = -5*l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.8 (b) 0.3 (c) 7 (d) -2 (e) -6\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b - 10. Let p(u) be the third derivative of u**6\/120 - u**5\/10 + 5*u**4\/24 - 7*u**3\/6 + 3*u**2. Let i be p(5). What is the units digit of w(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*v + 751 = -p, -2*p - 749 = 3*v. Suppose 0 = -8*i + i - 2590. Let z = v - i. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 2*t + 1. Let l be x(2). Let q be -2*(l - (-5)\/(-2)). Suppose 0*o = o - 4*d - 22, 4*o - 4*d = 40. Solve q*b - 6 = o*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33927, -33926, -33925, -33924, -33923, -33922?\n\"Answer: w - 33928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7\/6 (b) 0.5 (c) -0.3 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 + 45*k - 45*k + 144*k - k**2 + (0*k - 3*k + 12*k)*(-2 - 4*k + 2).\nAnswer: -37*k**2 + 144*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2*((-17)\/((-204)\/(-30)))\/((-1)\/4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4762386.\nAnswer: -4762386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 375277168 plus 941?\nAnswer: 375278109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-2)*2\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -210 (c) 1 (d) 3460\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 12:47 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b. Let v(q) = -111*q**2. Give z(v(j)).\nAnswer: 222*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (2 - -2)) + (-16 - (-20 - -17)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-40)\/(-12))\/(-5)*-12. Suppose -p + 0*p + c = 0. Solve 4 - p = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24360336 (base 8) to base 13.\nAnswer: -115b54b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -315*i - 7407*i + 1669*i + 148568 + 129870 for i.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*g - 2 - 23*g + 45*g.\nAnswer: -37*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) - ((3*sqrt(832) - sqrt(832)) + -4).\nAnswer: -8*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -204, 1, 30, -4, 2.\nAnswer: -204, -4, 1, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 86022 + 26620 = 0. Let u = x - 113321. What is u rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1233418817?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -33*x**2 + 3*x + 3. Let j(t) = 39*t**2 - 3*t - 4. Let a(h) = 5*j(h) + 6*l(h). Give a(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buiiwbwxiiw. What is prob of picking 1 w and 1 u?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -187 + 719. What is the highest common factor of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, e: 2, m: 2, l: 1, x: 2, z: 1}. What is prob of sequence ep?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**7*n)\/((n\/n**(5\/6))\/n))**(-35)*((n*n**(-2\/7))\/n)**(-50)\/(n**3*n**(-1\/2)) assuming n is positive.\nAnswer: n**(3310\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-10))\/((-3)\/6). Sort -5, 0, q in ascending order.\nAnswer: -5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48942482\/37635 + 197234\/195. Let m = -289 - f. Suppose 0 = -0*w - 14*w. Is m smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 8. Suppose -44 = -4*j + h. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 5. Let x = 8 + -14. Let y be (-111)\/(-15) + x\/15. Let c be p(y). Solve 0 = w + c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23758 + -142749059?\nAnswer: -142725301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 30. Let b(v) = -21*v + 5. Let s(c) = c. Let y(n) = -b(n) - 4*s(n). Is 7 a factor of y(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 94? (a) 1\/5 (b) -2\/9 (c) -5 (d) 0 (e) 18\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -378? (a) -7 (b) -2\/13 (c) 8 (d) 2\/3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -p - 11*p. What is the hundreds digit of (-2)\/3 + -2*(-4130)\/p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-3))\/((-4)\/12). Let d = 323 + -320.77. Let b = -0.23 + d. What is the nearest to -1 in b, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w**2 - w. Let g(p) = 22*p**2 + 15*p - 5. Let z(x) = g(x) + 6*h(x). Let f(i) = -9*i**2 + 6*i - 3. Give 8*f(y) - 5*z(y).\nAnswer: -2*y**2 + 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53020053?\nAnswer: 3, 5891117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/4 + 37593*q - 471077883.\nAnswer: -3*(q - 25062)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkcokcmflmolckm. Give prob of sequence mko.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 1462 = -2*l, 3*i - 6*l + 3*l + 1101 = 0. Let h = i - -370. Factor 0 + 0*y**2 + 2\/5*y**3 - 1\/5*y**h + 0*y.\nAnswer: -y**3*(y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/7)*m*m**9)\/((m*m\/m**0*m)\/(m\/(m\/(m**(9\/5)*m)))) assuming m is positive.\nAnswer: m**(338\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1500)\/(sqrt(80)*-2) - (sqrt(30)\/(1*sqrt(30)\/sqrt(3)) + 4*sqrt(12) + sqrt(3) + (5*sqrt(6)\/sqrt(2))**2).\nAnswer: -75 - 45*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + a312?\nAnswer: a30c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - 1799664682.38.\nAnswer: -1799664674.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1062*m - 14. Let f be o(-1). Let q = f + 1605. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 2*c + 20, -5*t + c = 4*c + 14. Sort t, 9, 1 in descending order.\nAnswer: 9, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4024, -32793, -111012, -263407, -514704?\n\"Answer: -4121*o**3 + o**2 + 75*o + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1 + 13 = 0. Let j be 50\/m*(-8)\/5. Let g = -24 + j. What is the biggest value in g, -2, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -41. Find the common denominator of 214\/8 + (-5)\/(x\/3) and 0 - 0 - -11 - (-1)\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -543 + 7057\/13. Let r = -230 - -224. Which is the closest to r? (a) -5 (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**16)\/g)\/(g*(g*g\/(g**11\/g))\/g*g) assuming g is positive.\nAnswer: g**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(125)*1*-1 + sqrt(125) + 4))**2 - (sqrt(165)\/(sqrt(3) + -2*sqrt(3) - sqrt(3)))\/(sqrt(33)\/(3*sqrt(3))).\nAnswer: 3*sqrt(5)\/2 + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 20 = -3*t. Let d(r) = -243*r - 5. Let b be d(t). What is b rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 17 - 2. Let l = -66 + 65. Let u be ((-1)\/l)\/(-3 - (-10)\/3). Solve 3*v + 2*p - 17 = 0, b*v - 18 = -u*p + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 269*q**2 - 769*q**2 + 9 - 9.\nAnswer: -1038*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z**3 + 48*z**2 + 32*z - 1020. What is the least common multiple of (-3)\/(-12) + (-118)\/(-8) and r(10)?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4350476638.\nAnswer: 2, 2175238319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 14*n - 402 = 3*w, -5*w + n - 662 = 0. Is 5 a factor of 2 + 33\/(-21) - 4731\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1043891.7 rounded to the nearest 100?\nAnswer: -1043900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 0*z**4 + 0*z**5 + 0*z**2 - 29\/30*z**6 - 8\/3*z**3 - 30*z + 0. Find the second derivative of d(f) wrt f.\nAnswer: -348*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-650)\/120*(1\/3)\/(5\/(-9))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/3 - 80*n**2\/3 - 4*n\/3 + 80\/3.\nAnswer: 4*(n - 20)*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 + 1 - 122*s**4 - 124*s**4 + 247*s**4 + s - 3*s**2 to the form b*s**4 + h*s + p*s**3 + n*s**2 + k and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 4)*(-3*d + 4*d + 0*d) - 4 + 4 - d - d + 0 + 0 + d - 2*d - 4*d to the form g + i*d and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2781369 is divided by 2818.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 11*q - 4. Let x(r) = -r**2 + r + 7. Let k be x(0). Suppose -36 = -3*o + k*o. Calculate the remainder when i(o) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**2 + 1. Let t be (0 + -1)\/((3 - 4) + 2). Let l be w(t). Solve -5 = l*x - 10*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s**(-2\/25))*s**(-1\/23) assuming s is positive.\nAnswer: s**(21\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/69, 39, 0.4 in descending order.\nAnswer: 39, 2, 0.4, 2\/69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (41 - 62) + -26 + 50\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 114, 166, 214, 258?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-525))\/((-111)\/8010). Let y = j - -6\/185. Suppose y*d + 0 - 2\/7*d**2 = 0. Calculate d.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*s + 9 = s, 2*s = 2*b - 2. Let w(t) = -t**3 - 5*t**2 - 5*t - 4. Let a be w(b). Let i = -0.8 - 4.2. What is the closest to 1 in 5, a, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0667573220469 - 3?\nAnswer: -2.9332426779531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhvv. What is prob of picking 1 h and 1 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n = -22 - 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 108 = -5*t, 0 = 2*t + 4*y - 66 + 20. Let w = t - 18. Solve 0 = -2*u - w - 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 11*g**3 + 4*g**2 - 11*g - 9. Let c(j) = 3*j**3 + j**2 - 3*j - 2. Let f(b) = 9*c(b) - 2*v(b). Let x be f(-3). Is x < -111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2. Let h(l) = -548*l. Determine h(t(p)).\nAnswer: 1096*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - c42?\nAnswer: -c40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2979.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3 + 5098*g**2 - 10192*g = 0. Calculate g.\nAnswer: 0, 2, 5096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-306)\/27)\/(4\/(-6)). Let m = -13 + n. Suppose 0 = -m*k - 46 + 146. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.99811l in millilitres?\nAnswer: 56998.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4536 and 13608?\nAnswer: 13608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.484 less than -28963?\nAnswer: -28959.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*a - 4*d, -2*a = -4*a - 5*d + 22. Calculate the smallest common multiple of 21 and a.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -n - 2*n + 2*g, 3*n - g = 14. Let x(d) = 4*d**3 + 6*d**2 + 3*d + 3. Let m(r) = -3*r**3 - 5*r**2 - 3*r - 3. Let z(w) = 5*m(w) + 4*x(w). Give z(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2 + 1. Let q = 3 + -3.11. Let k = q + -0.09. What is the nearest to 2\/5 in k, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 961*w**3\/5 - 5734473*w**2\/5 + 1109871*w\/5 - 53703\/5 = 0.\nAnswer: 3\/31, 5967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2. Let r(v) = -66112*v. What is z(r(l))?\nAnswer: 4370796544*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1772 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 take away 116?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.4362 seconds to milliseconds.\nAnswer: 9436.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 135*x**2 + 5*x + 135.\nAnswer: -5*(x - 1)*(x + 1)*(x + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**3 - w**3 - 2*w**3 + (10568*w**2 - 45884623*w + 45884623*w)*(-4*w + 5*w - 3*w) to h + k*w**2 + q*w**3 + r*w and give q.\nAnswer: -21135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 648.62 - 707.2. Let y = -0.42 + s. Let k = 59.00000124 + y. Round k to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = d - 0*b + 1, -4*d + 5*b = -17. Let m be d\/(1 + 23\/(-2)). Does 4\/5 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t. Let y(l) = -2*l**2 + 3*l + 6. Let s be 3\/(-1)*(-3)\/9 + 4. Let v(d) = 5*d**2 - 5*d - 10. Let x(u) = s*y(u) + 3*v(u). Give b(x(f)).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tko when three letters picked without replacement from wwooyypwtwwwkw.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**3 - 18*j**3 - 2*j**3)*(-6 + 2 + 2)*(2*j + 0*j + j) + 27*j**2 - j - 2*j + 3*j**4 - 26*j**2.\nAnswer: 87*j**4 + j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8815997 take away -3921?\nAnswer: -8812076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -345, -688, -1031, -1374, -1717, -2060?\n\"Answer: -343*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 + 0.2. Let v = 5 - 10. Suppose 5*o - 30 = 5*u, -106*u - 30 = -101*u. Put o, 2\/5, v, a in increasing order.\nAnswer: v, a, o, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8844.\nAnswer: 2, 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**6\/360 + d**3 - 2*d. Let s(m) be the second derivative of l(m). Let v(g) = 20*g. Determine v(s(a)).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**3 - 88*k**2\/5 - 224*k\/5 - 128\/5 = 0.\nAnswer: -4, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 372*y**2 + 17664*y + 33856.\nAnswer: 2*(y + 2)*(y + 92)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -214, -867, -1960, -3499, -5490?\n\"Answer: -u**3 - 214*u**2 - 4*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 52 = -12. Let w(v) = -23 - 3*v + 6*v**2 - 2*v - 137*v**3 + 138*v**3. Let n be w(-6). Which is greater: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 7. Let c be q(-7). Let d be (48\/(-9)*4)\/((-4)\/6). Suppose -3*y = -5*n - 54, -3*n + n - 4*y - d = c. What is the biggest value in n, 3, 5\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150)\/(-10) + 200\/20.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (2 + 3 - (4 - -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1510277, 1510296, 1510325, 1510364, 1510413, 1510472?\n\"Answer: 5*p**2 + 4*p + 1510268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -5. Let w = -2.5 + r. Let p = -35\/4 + 9. Which is the nearest to 0.1? (a) -0.4 (b) p (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*p + 84, -5*p - 38 = -4*b + 46. Let h = b + -6. Solve h = 5*j - 5*m, 5*j + 2*m = -m + 23 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a + 2. Let p be s(6). Let i(d) = 4*d**5 - 2*d**4 - d**3 + 5*d + 5. Let c(h) = h**5 + h + 1. Let o(z) = p*c(z) + 2*i(z). Factor o(r).\nAnswer: -2*r**3*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 554 divide 2340586036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9543.328 + -9545.4280019. Let s = 2.1 + t. Round s to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 41260409014486.\nAnswer: 41260409014484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 3*g - 70 = 0. Let a = 511 + g. Suppose 5*c - 1054 = -p, 3*p + 561 = 5*c - a. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*i**2\/11 - 34704*i\/11.\nAnswer: -6*i*(i + 5784)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 + -0.2. Let j = 4 + -3. Let n = j - w. Which is the second biggest value? (a) 0.3 (b) n (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 582654 - -53?\nAnswer: 582717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0.5. Let y(m) = 3*m + 3. Let o be y(-5). Let t be 1 - 0 - (-9)\/o. Which is the second smallest value? (a) t (b) -1\/7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = n + 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7637)\/3273)\/((-14)\/(-102))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n**2 - 11165444 + 11165444.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 5:20 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/32, -1, 2\/5, -0.01 in decreasing order.\nAnswer: 2\/5, -0.01, -1\/32, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*k + 583 = 17*k - 13*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(1216) - sqrt(1216)) + -4 - (sqrt(1216) - (-1*sqrt(1216)*5 + sqrt(1216)))) + -2)**2.\nAnswer: 480*sqrt(19) + 30436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -6. Let z(w) = -5*w**2 + 2*w + 2. Let x(s) be the first derivative of 4*s**3\/3 - s**2\/2 - s - 3. Let d(n) = o*x(n) - 2*z(n). Calculate d(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.4 (b) 0.2 (c) -2\/8137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from {p: 2, o: 1, n: 2, h: 1, l: 4}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((((-20)\/(-44))\/(-5))\/1). What are the prime factors of h\/(-44) + 3435\/12?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -4 (b) -3 (c) 29 (d) 2\/53 (e) 4 (f) -1 (g) -24\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**2 - 2*u**2 + u**2 - 4*u**2 + 2*u**2 + 21*u**2 + (0*u**2 - 3*u**2 + 5*u**2)*(1 - 5 + 3) + 0*u**2 + 3*u**2 - 2*u**2.\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 297 = -17*v. Let o(a) = -a**2 + 9*a + 5. Calculate o(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -9*h**3 - 4*h**2 - h - 6. Let a be v(-3). Suppose m = -4*w + 39 - 7, -5*m + 2*w + a = 0. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 1970*w**6\/3 - 37*w**3 - 3*w**2 + 2*w + 1507. Find the third derivative of t(r) wrt r.\nAnswer: 236400*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 13*d + 17. Let l(c) = 4*c + 6. Let j = 501 - 507. Let g(z) = j*b(z) + 17*l(z). Let r(v) = -34*v. Give r(g(m)).\nAnswer: 340*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 7*s**2 + s - 5. Let w be h(7). Let b = -1\/482 - 9629\/5302. Calculate the common denominator of b and -5*w\/(-70)*-43*1.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005192184 rounded to 6 decimal places?\nAnswer: 0.000519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 - -312?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from glgglggggggggggl.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(102) + sqrt(102) + sqrt(102)*1)*3)\/((sqrt(48) + sqrt(48) + sqrt(192))\/sqrt(8) + (sqrt(180)\/sqrt(3))\/sqrt(10)).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 112*j**2 - 1675*j - 3. What is p(15)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1904992971183 - -205.\nAnswer: -1904992970978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*g - g - 10, 0 = 3*g - a + 6. Suppose 13 = -9*w + 4. Let v be (4 - 4)\/w*2\/(-4). Put g, -3, v, -4 in decreasing order.\nAnswer: v, g, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 10*j**2 - 8*j - 8. Let k be i(9). What is the third smallest value in -2\/3, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o. Let u(h) = 15*h. Give -5*u(k) + 21*y(k).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 2:50 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of t**6\/30 + 23*t**5\/25 + 43*t**4\/20 + 7*t**3\/5 - 67. What is o in v(o) = 0?\nAnswer: -21, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p - 4. Let b be w(-7). Suppose -48 = -5*z + 32. Calculate the remainder when 7*(-20)\/(-14)*b is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -295, 1437, 3169, 4901, 6633, 8365?\n\"Answer: 1732*n - 2027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 8 = 5*p, -3*h + 4*p + 22 = 0. Suppose 5*y - 8 = h. Determine a so that -3\/5 + 0*a + 3\/5*a**y = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760\/1463 - 1\/11?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -1984*d**3 - d**2 + 2*d + 4. Is h(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -551, -1914, -4571, -8954, -15495?\nAnswer: -24626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6645*r + 13294*r - 281*r**3 - 6652*r - r**2 - 2 to v*r**2 + q + g*r + d*r**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b**3*h**2*p + 2*b**3*h*i*p - b**2*h**2*i*p + 2*b**2*i*p + 2*b**2*i - 2*b*h**2*i*p wrt b.\nAnswer: -30*h**2*p + 12*h*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 - 173?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16062918 and 42834448?\nAnswer: 128503344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1988*q - 1963*q - 300 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 12*x + 2. What is o(-10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20675.\nAnswer: 5, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 0.5 (c) -0.4 (d) 25 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*-1)\/((-9)\/63). Let a(r) = -11*r - 7. Let p(x) = 10*x + 6. Let b(u) = q*p(u) + 6*a(u). Let w(g) = -g. Calculate w(b(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.19 - -27. Let g = v - -0.31. Let k = -0.1139 + g. What is k rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -81*j + 75*j. List the prime factors of ((-9)\/j)\/(3\/(-6)) - -522.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12855 divided by 2571\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81.064 + -81. Let m = 0.036 + v. Let z = 5 - 4.8. Which is the closest to 2? (a) z (b) -0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20029\/2 + 10013. Let w = 0.2 - -0.4. Which is greater: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-564)\/(-3760))\/(3\/(12\/(-1)))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -47*v + 1789. Let z be t(38). Solve -3*g - 2 = -z*p + 1, g = -5*p - 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6394 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5502 is divided by 104.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4651006643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**4\/4 + p**3\/3 + 34*p + 146. What is o(0)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-4 - -13 - -13)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/1086 + 121\/362. Let m(q) be the second derivative of 0 + 0*q**3 + y*q**4 - 2*q**2 - 12*q. Factor m(n).\nAnswer: 4*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -14*u**3 + 2*u**2 - 1. Let w be m(-1). Solve 4*i - 5*o + 5 = -2, 0 = 5*o - w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(-20*o - 32*o - 22*o)*(6*o + 11*o - 7*o).\nAnswer: -1480*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 11*c**3 - 9*c**2 + 9*c + 9. Suppose -2*s + x = s + 16, -s + x = 8. Let l(m) = -5*m**3 + 4*m**2 - 4*m - 4. Determine s*w(y) - 9*l(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 q, and 1 h when three letters picked without replacement from {q: 2, m: 1, x: 1, t: 1, h: 1, u: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = -17794 + 65467. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 868940298 a multiple of 564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -23*(-68)\/(-84) + 4\/14. Let q = u + 19. What is the closest to q in -1\/5, 2, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -40, 25, 208, 569, 1168?\n\"Answer: 10*r**3 - r**2 - 2*r - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0.3. Let g = -0.03 + 0.08. Let p = 5.05 - g. Which is the nearest to 0.3? (a) w (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(12)\/sqrt(6)*-5) + (sqrt(25)\/sqrt(5))**2*2*-3.\nAnswer: -30 - sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 508 = 4*d - f, -2*d + 3*f + 254 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**2\/g))**1*(g**(5\/4))**(-29\/3) assuming g is positive.\nAnswer: g**(-157\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 5*a + 17 = -0*g, 4*g - 26 = -6*a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4533 + 4584 + (-1 - 43)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -37, -3, -55, -1\/3, 29 in decreasing order.\nAnswer: 29, 4, -1\/3, -3, -37, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqsv when four letters picked without replacement from {s: 4, v: 4, q: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -12 (c) -20.3 (d) 134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 487555988.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*c**2 + 0 + 3*c + 0 - 56*c**2.\nAnswer: 7*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 37*v + 9. Let n be (-592)\/(-60) + (-8)\/(-60). Let q be y(n). Suppose -x = -0*x - q. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 6:32 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -2662 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + 3 + (0 - -31). Let b = y + -15. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(-70))\/(2\/24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -275 - 199. What are the prime factors of h?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -213015 * -0.49.\nAnswer: 104377.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -0.6. Let g = 0.5 + p. Let f = -5234\/287 + 128\/7. What is the closest to g in 4, -0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 12 = 2*t - 3*a, -5*t = -5*a + 15. Let k(w) = -6*w**2 + w + 5. Let q(u) = -7*u**2 + 2*u + 6. Determine t*q(b) + 5*k(b).\nAnswer: -2*b**2 - 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**4 - 4*h + 4*h + (h - 5*h + 0*h)*(-h + h - 3*h**3) + (2*h**2 - h**2 + 0*h**2)*(h**2 - h**2 + h**2) + 4*h + 2*h**4 - 4*h + h**4 - 5*h**4 + 0*h**4.\nAnswer: 15*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2019 - 2024. Which is the second smallest value? (a) 0.5 (b) 68 (c) 5 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -65?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26871165 is divided by 5374227.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04700973 - 0.25?\nAnswer: -0.20299027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.982 - -6.2006. What is q rounded to two dps?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*h + 214*h - 1651 = -147*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1307 - -1312. Sort -4, 0, z, -1\/4 in increasing order.\nAnswer: -4, -1\/4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/4 + 137*a - 16168.\nAnswer: -(a - 376)*(a - 172)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -1\/5, 2\/19, 28, -145\/4, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 129173\/8, 2\/25, -0.4, 1, -1 in decreasing order.\nAnswer: 129173\/8, 2, 1, 2\/25, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 94001779*q**3 - 69908768?\nAnswer: 282005337*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 2\/((-14)\/(-35)). Solve -d*p + 2 = -6*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 29*o**3 + 11*o - 9. Let s(p) = 15*p**3 + 6*p - 5. Determine 6*q(t) - 11*s(t).\nAnswer: 9*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 4*f**2 - f - 4. Let q(d) = -d**3 - 3*d**2 + 3*d + 1. Let y be q(-4). Let u be i(y). Let k be 9\/(-12)*4*-1. Solve k*w - u = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*d - 12, 0 = 4*d - 9*d - 3*l + 20. Sort -4, d, -1 in increasing order.\nAnswer: -4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*y - 0*b + 4, y + 2*b + 2 = 0. Suppose y*n - 3496000 = 38*n. What is n rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 111 = u - l, 5*u - 505 = -5*l. Does 23 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 9*s + 148 - 2*s - 149. Let p be u(2). Suppose -p = -3*y + 4*l - 9*l, -2*y + 4*l = -38. What is the highest common factor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*w - 13*w = 0. Solve w = -3*l - 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43 in 0.5, 0, 4, 3\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d*j**2*t + 7227*d*j**2 - 2648*d*j*t**4 + d*t**2 - 2*d*t + 10*j**2*t**6 wrt t?\nAnswer: -63552*d*j*t + 1200*j**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 3.7. Let w = 107.93 + -107. Let x = w - 0.73. Which is the nearest to 1? (a) x (b) 1\/12 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1304 is divided by 491?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 10\/7 of a week?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g - 2*g + 0*g + (-2*g + 4 - 4)*(3 - 1 + 0) + 5981*g + 5826*g + 6983*g + 2210*g.\nAnswer: 20997*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8781 or 7901?\nAnswer: 7901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1375 by 5.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 695726.9mg in micrograms?\nAnswer: 695726900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**3 + 9*w**2 - w - 1. Let x(q) = 7*q**3 - 19*q**2 + 3*q + 1. Let n be 1\/(-5) - (-138)\/15. Let t(g) = n*k(g) + 4*x(g). Determine t(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351075?\nAnswer: 3, 5, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -443177, -443179, -443183, -443189, -443197, -443207, -443219?\nAnswer: -443233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.3*-2.2.\nAnswer: 9.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 + 0*d**2 - 2*d**4 + (836*d + 406*d - 394*d + 475*d)*(d**3 + 3*d - 3*d).\nAnswer: 1321*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/256)\/(2\/(-12))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72*g*p**4 + 94*g*p + 17*p**4 - 2*p wrt p?\nAnswer: -864*g*p**2 + 204*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -56 + 103 - 3*k**3 - 51 - k + 28*k**2 - 137*k**2 as l*k + g + j*k**2 + i*k**3 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1403\/14 + (-327)\/1526. What is the highest common divisor of d and 470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2390 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + sqrt(68)) + 1 + 3 - 2*(4*(0 + sqrt(2057) + 2))**2.\nAnswer: -65952 - 1412*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*h + 50, 8*h - 10*h + 14 = j. Suppose -15*l - 3*l + j = 0. Is -2\/1051 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17.1335 - 0.1335. Let l = -16.84365 + -0.06435. Let w = p + l. Round w to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*x + 19*x - x**2 - 4*x + 3*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**4 + 634*c**3 + 1896*c**2 + 1894*c + 631 = 0.\nAnswer: -631, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -510*x - 2151. List the prime factors of r(-34).\nAnswer: 3, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/(-3*18\/4185).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -356, -2, 2 in descending order.\nAnswer: 2, -2, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572334 is divided by 286117.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -3c?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1581673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m**4 - 4 + 25*m**4 - 2*m + 4*m**4 + m**4 - 12*m**4 to l*m**2 + d*m**3 + c*m**4 + t*m + a and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**1\/p*p)\/(p*p\/(p**(-6)*p)*p)*p**5*p*(p\/(p\/p**1*p))\/p)\/(p**(2\/3)\/(p\/(p*p\/p**(-2))))**(-11) assuming p is positive.\nAnswer: p**(118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*v = 20, 0 = w - 2*v + 3 + 5. What is the third derivative of 2*b**3 + 23*b**6 + 3*b**w + 0 + 11*b**3 - 12*b**3 - 16 wrt b?\nAnswer: 2760*b**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 0*v - 1\/3*v**3 + 0 - 1\/8*v**4 - 2*v**2. What is the derivative of b(f) wrt f?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 3*w + 32, 0 = 3*i + 6*w - 7*w + 19. Let g = 1.1 + -0.1. Which is the biggest value? (a) 4 (b) g (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5659, 5658, 5657, 5656?\n\"Answer: -p + 5660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + 25. Let b(v) = -v**2 - 3*v + 4. Let x be b(-3). Suppose x*a - 5 = o. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 125*r**4*s**2 + 8*r**4 + 4*r**2*s + r*s**2 + 5 wrt r?\nAnswer: 3000*r*s**2 + 192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -3 + 5 + 2 + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -2\/9 (c) -2\/5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 34*v**7\/105 - v**3 - 33*v**2\/2 + v + 13. Let r(u) be the second derivative of f(u). Find the first derivative of r(q) wrt q.\nAnswer: 272*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433539 is divided by 3443.\nAnswer: 3164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 1963.\nAnswer: 1963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 604777 - 1188858 + 584081 - 4*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(432) + 0 - sqrt(432)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13983115?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2)*(-8)\/4. Let z be g*(-2 + 7) + 2. Let c be (-6 - z)*(-3 - -2). Solve h + c*i = 17, -5*h - 2 = -4*i - 11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15476.7 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 264\/(-68) + (-16)\/136. Which is the second smallest value? (a) 2 (b) h (c) 0.6 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(1 + 65*(-2)\/128). Let p be ((-48)\/m)\/(3\/(-8)). Sort 3, -1, -5, p.\nAnswer: -5, -1, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 122 - 113 + 13*t - 12*t. What is f(-22)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420\/(-180) - (-186)\/(-198).\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 398 + 279. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6. Let q(b) = 3*b + 90. Let m(s) = -30*o(s) - 2*q(s). Let l(c) = 170*c. Give m(l(d)).\nAnswer: -1020*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 472, 0, 22, -5, 13, 1 in increasing order.\nAnswer: -5, 0, 1, 13, 22, 472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.066695 + -29.752305. Round x to one dp.\nAnswer: -29.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 0 + 2 + 42*p.\nAnswer: 40*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**5 - 3564*i**4 - 61556*i**3 - 171300*i**2 + 541504*i - 305088 = 0. Calculate i.\nAnswer: -12, -7, 1, 908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/13, 581.182 in decreasing order.\nAnswer: 581.182, 0.2, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 504476.6 tonnes in milligrams?\nAnswer: 504476600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3660 + -23\nAnswer: -3683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94 - 89. Let s(o) be the third derivative of 1\/120*o**6 - 6*o**2 + 0*o**q + 0*o - 1\/6*o**3 + 0*o**4 + 0. Differentiate s(h) with respect to h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.255 (b) 0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/25680?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9122 - -269?\nAnswer: 938b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 + 2*t**2 + 12 + (-2 + t + 2)*(3*t - 2*t + 2*t)*(5 + 0 - 4) + (266*t**2 + 230*t**2 - 443*t**2)*(0 + 0 + 1).\nAnswer: 58*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 819879\/50 + -16396. What is the common denominator of n and (88\/(-60))\/(-11) - 222\/1800?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 978735.\nAnswer: 3, 5, 71, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4613*s - 1914344. Give n(415).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**3 + 5*o**2 + 23*o + 16. Calculate r(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42413531?\nAnswer: 42413531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.1 + -8.09934. What is s rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000050004744 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4)*(-2 - -6). Let v(i) = -i**2 + 2*i - 2. Let l be v(2). Let s = l - -3. Put -4, s, d in decreasing order.\nAnswer: s, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101011000000 (base 2) in base 7?\nAnswer: -11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 11, -2 in increasing order.\nAnswer: -2, 0.1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70809 (base 11) to base 13.\nAnswer: -3812a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 15, -7 in increasing order.\nAnswer: -7, -3, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 5. Let w(l) = -l + 10. Give -7*q(b) - 4*w(b).\nAnswer: -3*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 40c + -5a87b?\nAnswer: -5a46d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/((-6)\/(-24)*32\/6). What is the second derivative of 356*l**p + 53 - 356*l**3 + 125*l**4 - 2*l wrt l?\nAnswer: 1500*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21820 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1161 = -241*n + 112*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 241.03803 months in centuries?\nAnswer: 0.200865025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -608*n**3 - n - 239*n**3 - 3126*n**3 - 656*n**3 in the form w*n**2 + g + c*n + m*n**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -12 - 130*k + 52*k + 79*k. Determine n(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**3 - n**3 - 3*n**3 - 2*n**2 - 9*n - 5*n**2 + 10. Let h be c(8). Solve 0 = h*d - 2*a, d + 14 = -5*a + 38 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/46618592 and 49\/45184.\nAnswer: 186474368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -29348 divided by 92\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*a + 61*a = 124*c + 132, -a = -c - 9 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + f + 3*f)*(0 - 3 + 4 + 2 - 3 + 3 + (0 + 2 - 4)*(-1 - 2 + 1) + 2 - 2 - 1 + 0 - 2 + 3)*(-49 + 23 - 36) to k*f + o and give k.\nAnswer: -1302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/252 and (-5)\/(-2) - 120\/(-20790)*3651\/(-8)?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + 0.9. Let i = y - 2. Let o = -35\/102 - -3\/17. What is the second biggest value in i, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -2*c**5\/25 + c**4\/10 + 2*c**3\/5 - c**2\/5 - 4*c\/5 + 4576. Suppose y(r) = 0. Calculate r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 3 - (-7 - 22 - -7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -166 - -338. Let x = -172.000025 + o. Round x to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*l - 1 = 0, -32 = 4*d - 2*l - 2*l. Let u(q) be the third derivative of -q**4\/12 - 23*q**3\/6 + 7*q**2. Determine u(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 84\/18*(8 - (-250)\/(-35)). Let i = 13 - 14. Let m be i\/1 + 14 + 3. Calculate the greatest common factor of m and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 484 = 2*o - 270, 0 = 4*o - 3*p - 1508. Suppose g + 44 - 147 = -4*h, 3*g - o = 5*h. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 3:50 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**2 - 14*n - 21. Let q be s(-6). What is the least common multiple of 9 and (q\/(-2) + 3)\/((-12)\/(-8))?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133419515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 32*g. Let l be (4\/(-3))\/(9\/108). Let f be h(l). Let y(j) = f*j + j + j**2 + 25 - 5*j - 28. Give y(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005829 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - (0 - (33 - 31))) + 2 + -37?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 g when two letters picked without replacement from {g: 4, l: 7, a: 6}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1086 and 449214?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z + z - 4*z.\nAnswer: 17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 60653.94 litres?\nAnswer: 60653940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 224424 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h - 2 + 0*h - h + 3*h. Calculate o(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -58*w - 15. Let k be (0 + 0 - -2) + (-33)\/11. Let v(i) = i + 1. Let m(d) = k*u(d) + 3*v(d). Find the first derivative of m(g) wrt g.\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 805779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 3041724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18321216?\nAnswer: 2, 3, 37, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 w, and 1 l when four letters picked without replacement from {r: 1, g: 2, q: 4, l: 2, w: 2, j: 3}.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005201028 to 6 dps.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - m + 9. What is t(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*j**5 - 8*j**4 - 2710*j**2 - 64688539*j?\nAnswer: -1000*j**3 - 96*j**2 - 5420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z + 11*z + 8*z - 11*z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.169836 millennia to centuries.\nAnswer: 1.69836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Suppose o*k = 6*k. Suppose k*i = i - 3. What is the remainder when i is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -a + 3*a. Suppose -4*p - p = 4*i - 62, -3*p + 3*i + a = 0. Let g be 126\/12*16\/6. What is the greatest common factor of g and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 129*t - 134*t + y, -3*t - 39 = 3*y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-357*k**2 - 683*k**2 + 117*k**2 + 2*k**3)*(5*k - 3*k - k) - 7*k**4 + 4 - 4 to u*k + a*k**2 + t*k**4 + b*k**3 + l and give b.\nAnswer: -923","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 22 + 5*z + 5*z**2 - z**3 + 7*z**2 + 8*z + 2*z**3. Let p be b(-11). Let w(g) = -4*g + 1800. Let o be w(p). Round o to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-10) - (-5)\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*h - 7*h - 14*h)*(-h - 3*h + 7*h).\nAnswer: -174*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79212 by -6.\nAnswer: -13202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 times 4?\nAnswer: -732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-20))\/(4\/(-1290)). Suppose 0 = 5*z - f - 92. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/55 and -53\/1880.\nAnswer: 20680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 6*w**2 + 4. Let h be b(6). Let n(z) = -z - 4 + 3*z - z - 2*z - 3*z**2. Let l(t) = -2*t**2 - t - 3. Calculate h*l(g) - 3*n(g).\nAnswer: g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**11*n**(1\/22))\/((n\/((n\/n**(-1\/4))\/n))\/(n\/n**(-1))) assuming n is positive.\nAnswer: n**(541\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 44082 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, q: 3, b: 3, e: 7, h: 3}. Give prob of picking 3 q.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -170 + 170. Let u(a) be the third derivative of 1\/120*a**6 + f*a**3 + 0 + 1\/60*a**5 + 5*a**2 + 0*a**4 + 0*a. What is the third derivative of u(h) wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 d when four letters picked without replacement from {p: 1, m: 1, d: 4, u: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201122 - 211?\nAnswer: 200211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggiijjimiiiiigmimiii. What is prob of sequence mjg?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2219446, 2219431, 2219390, 2219311, 2219182, 2218991, 2218726?\nAnswer: 2218375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24\/(-2) - 30024\/(-12).\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -0*n + n - 294, -5*g - 797 = -3*n. Let x = n + -260. Calculate the highest common factor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49271341*g + 49728403.\nAnswer: -49271341","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 993*h**2 - 3 - 3 - 4 + 10 to a + v*h**2 + w*h and give v.\nAnswer: 993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*a**2*z**2 - 3*a**2*z + 2*a*z**2 - 4*a*z + 8*a - 2991*z**2 + 166*z wrt z.\nAnswer: -78*a**2 + 4*a - 5982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8617 + -0.9617. What is the closest to 5 in -5, r, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 8*a. Let c(p) be the second derivative of p + 0 + 0*p**3 - 1\/12*p**4 + 0*p**2. What is c(y(h))?\nAnswer: -64*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w = -16*w - x + 2, -6*w = -2*x + 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.043, -1\/8, 4\/9, -2, 20, 14 in ascending order.\nAnswer: -2, -1\/8, -0.043, 4\/9, 14, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*u + 4*u, -4*l + 40 = -2*u. What is the closest to 0.1 in l, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 548 + -515. Calculate the remainder when p is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74 and 98531.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 - 41*b + 55. Give k(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1128186 and 36046?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4407, -5367, -2873, 3075, 12477, 25333?\nAnswer: 41643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4*i + 1 - 246*i**2 + 243*i**2 as y + d*i + j*i**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -175 - 188. Let x = i + 362.9. Which is the second smallest value? (a) x (b) 2\/15 (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -9*a + 3. Let n(y) be the second derivative of 11*y**4\/12 + 2*y - 11. Calculate x(n(b)).\nAnswer: -99*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 86?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5*o + 1)*(-2*o + 0*o + 4*o)*(-37 - 11 - 15 + 11).\nAnswer: 520*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-42*(-70)\/(-5880))\/(2\/100*-1)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 187 and 6?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 146 - 10. List the prime factors of h.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 850 + -854.275. What is t rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 4 = -6313*i + 6308*i, -4*i - 4 = -4*g - 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5144, 20466, 45740, 80750, 125280, 179114, 242036?\nAnswer: 313830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**3 - k**2 - 9*k + 9. Let p(w) = -w**3 + 2*w - 2. Let o(l) = 9*p(l) + 2*q(l). Solve o(g) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49432 is divided by 130?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 9. Let p = h + 12. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/16 + 582\/72 - (-23 - -31).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = t - 7*o - 223, -2*t - 4*o = -502. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b = -0*b + 45 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 5, g: 8}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1655 or 18210\/11?\nAnswer: 1655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkoukkokuknkuu. Give prob of picking 1 u, 1 k, and 1 o.\nAnswer: 64\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -366*c + 151. Is o(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 1:20 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 1. Let w(f) be the third derivative of -3*f**3\/2 + f**2. Let k = 242796 - 242787. Calculate k*b(a) - w(a).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, u: 2, f: 4, w: 2}. What is prob of sequence iufu?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.883026*0.023\nAnswer: 0.020309598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(123*c + 136*c + 63*c).\nAnswer: 322*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 - 2*d**4 + 2*d + 4 - 2*d**2 - 4 to the form g*d**4 + f*d + p*d**3 + y*d**2 + w and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4109 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 g(v) = v**3 + 5*v**2 - v - 5. Let i be g(-5). Suppose i = 5*a + 1 - 221. Is 43 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -32 + 29?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 17. Calculate the greatest common divisor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82384425301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 244250 and 12432325.\nAnswer: 124323250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 972 and 57591.\nAnswer: 230364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -154, -158, -162, -166, -170?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 11:07 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 13*j + 86. Let x be a(-6). Let z be ((-4)\/(-6))\/((-2)\/(-9)). Is 4 a factor of (-6)\/z*(-76)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 446839712 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 199830 divided by 40\nAnswer: 19983\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 29, 328, 1045, 2390, 4573, 7804?\n\"Answer: 35*t**3 - t**2 + 57*t - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-3) - 176\/66)*5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-24))\/z)**35*(z\/(z*z**(-21))*z)\/(z*z**32) assuming z is positive.\nAnswer: z**(-816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 313*z**2 + 2*z + 5. Does 8 divide r(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 598 - 596. Find the second derivative of 136*h**l + 33*h + 23*h + h + 13*h + 8*h wrt h.\nAnswer: 272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/10*(-2)\/6*21.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -3, 3 in decreasing order.\nAnswer: 15, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528529*t**4\/4 + 1587041*t**3\/2 - 4774213*t**2\/4 + 6549*t - 9 = 0.\nAnswer: 2\/727, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*c = -48*c + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -2, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 341889.\nAnswer: -4\/341889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/135 and -59\/23252565.\nAnswer: 209273085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - 3*j**2 + 8*j**2 + (-j + 4*j - 2*j)*(-2*j + 3*j - 3*j))*(-5*j + j + 5*j + (j - 4*j + 4*j)*(35 + 56 - 52)) - 2*j**2 + 2*j**2 + j**3.\nAnswer: 81*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((45\/(-6))\/3)\/(102\/(-24) + 8007\/1904).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99 - -53. Let y = 519 - t. List the prime factors of y.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) - sqrt(240)*-2)\/((sqrt(90)\/sqrt(2))\/sqrt(9)) + (-3*-2*sqrt(6))\/(sqrt(18)\/(sqrt(9)*-2 - sqrt(9))))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -9*s**3 - 76*s**2 - 4*s + 14. Calculate l(-9).\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-201)\/402)\/((-1)\/(-4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 8*t**5\/5 - t**2 + 7*t + 98. What is the second derivative of n(m) wrt m?\nAnswer: 96*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -53. Suppose -2*b - u*p - 15 = 0, 8*p - 13*p = -3*b + 6. Suppose -2*x = -5*z + 6, 0*x - 8 = -3*z - x. Put z, b, 1 in decreasing order.\nAnswer: z, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -6. Let d be 390\/7 - v\/(-7). Suppose 6*y - 2*y = d. What is the remainder when 26 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((4*sqrt(384) + sqrt(24))\/(sqrt(144)*-1))\/(sqrt(324)\/sqrt(3) - sqrt(12)\/(-2*sqrt(4))).\nAnswer: -17*sqrt(2)\/39 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -5 (c) 1\/4641 (d) 0.3 (e) -71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 - 74*r + 600. Let p be n(10). What is the highest common divisor of p and 2560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*f**5*h - 185364*f**5 - 914017*f**2*h wrt f.\nAnswer: 300*f**2*h - 11121840*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g**(-35))**(-19\/2) assuming g is positive.\nAnswer: g**323","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1753 + -1749. Solve -u*k = -4*a + k - 36, 5*a + 4*k = -4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 134*k - 141*k + 98. Suppose -8*g - 330 = -k*g. What is the greatest common divisor of g and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-9) - 64\/(-1008). Suppose 2\/7 + 4\/7*n + r*n**2 = 0. What is n?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r - 96. Let c be w(-21). Let d = c - -318. What is the highest common factor of 20 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -20*i**2 + 1444*i - 1400. Let l(g) = -13*g**2 + 963*g - 935. Let f(w) = -8*l(w) + 5*q(w). Suppose f(o) = 0. What is o?\nAnswer: 1, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, -1\/5, 0.22?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -16*p**4 + 61*p**3 - 48*p**2 - 3*p + 21. Let q(r) = 8*r**4 - 30*r**3 + 24*r**2 + 2*r - 10. Let o(h) = 2*k(h) + 5*q(h). Factor o(m).\nAnswer: 4*(m - 2)*(m - 1)**2*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -31*s + 43. Let p(o) = -21*o + 29. Let y(q) = -5*g(q) + 7*p(q). List the prime factors of y(20).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 5 (c) -0.09 (d) 1.4 (e) 1.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3*(80 - (-187148)\/(-2340))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 - 30*t + 38. Determine p(13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*r - 1. Suppose -g - 19 = -4*g + 2*s, s = 2*g - 11. Suppose -p = -g*p - r*u + 215996, 0 = -2*p + u + 216002. Round p to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by 2\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-10)*(-30)\/(-12). Let x be (1 + -2 - 0)*-1. Is 117 - (1 + x)*v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-6) - 5\/12*4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2.71 * -0.09\nAnswer: -0.2439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/5539620 and 107\/2215848?\nAnswer: 11079240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3cbb39 (base 14) in base 7?\nAnswer: 23623302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -6*l**4\/7 + 162*l**3\/7 + 55458*l**2\/7 + 54942*l\/7 - 110556\/7 = 0.\nAnswer: -83, -2, 1, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -33*f**5 + 561399*f**4 + 15129030*f**3 + 27295806*f**2 + 11450283*f - 1277925 = 0.\nAnswer: -25, -1, 1\/11, 17039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sso when three letters picked without replacement from ssossssososoobors?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((sqrt(65)*-1*3 - sqrt(65)) + sqrt(65))*-3)\/(sqrt(40)\/(sqrt(72) + sqrt(72) + sqrt(72) + (sqrt(72) - (sqrt(72) + -2*sqrt(72))))) + -3)**2.\nAnswer: 2430*sqrt(13) + 2132334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173645789?\nAnswer: 181, 959369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11346*i*x**2 + 1371*i + x**2 wrt x.\nAnswer: -22692*i*x + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*i + 3089 = 4*b + 3074, -i = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 12*f**3 + 5*f**2 + 5. Let u be (10\/25 + 0)*10. Is q(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 10588 = -4*i, 34*i - 37*i - 3*c = -7932. What is the remainder when i is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7049, -7046, -7019, -6956, -6845?\nAnswer: -6674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 + -0.35. Let s be (-5)\/40 + 2 + 75\/(-40). Sort s, -0.5, g in increasing order.\nAnswer: -0.5, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(5) - (sqrt(45) + -4)) + -4))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1\/84 (b) 0 (c) 0.9 (d) 10 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1091?\nAnswer: -4\/1091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1240 is divided by 149.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-6))\/((-29)\/174). Which is smaller: 135 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59036*k*n**3 + 322*k*n**2 - 8*k + 4*n - 1 wrt n.\nAnswer: 354216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 985 < 985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -2, 189, 500, 1, 0 in increasing order.\nAnswer: -5, -2, 0, 1, 3, 189, 500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**21*(k**1)**(13\/4) assuming k is positive.\nAnswer: k**(-71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -725*h + 5*o - 1 = -728*h, -4*h + 4 = 4*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/16)\/u)\/(u*u\/u**3))\/(u**(-1\/2))**(-50) assuming u is positive.\nAnswer: u**(-401\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k**3 + 30*k**2 + 13*k - 49. Let i(j) = -3*j**3 - 15*j**2 - 6*j + 24. Let a(p) = -5*i(p) - 3*t(p). Find c, given that a(c) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10084, 40436, 91008, 161806, 252836, 364104, 495616?\nAnswer: 647378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*k - 18. Is -5 - k - -35*1 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -208 + 182. Let p be (2\/(-3) + -2)*(-117)\/o. Is p greater than or equal to 4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5\/4*q**2 - 185\/2*q - 6845\/4 = 0.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -36.14. Let y = 1.66 - p. Let m = -0.4 - y. Is m at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14332004 divided by 38\nAnswer: 377158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 7 + (-8 - -6) - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 124.13 + -2.13. Let m = y - 122.5. Which is the smallest value? (a) m (b) 1\/5 (c) -4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3 + 37*h**3 - 4*h + 6*h - 1 + h**2 - 4. Is o(1) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*a - 19*a - 1974 = 0. Suppose m = 98*b - a*b - 303, 4*b = 2*m + 306. Is 77 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1493\/4 + -376. Find the common denominator of -115\/14728 and a.\nAnswer: 14728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -2 - 4 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 119 - 88. Let y(u) = z*u - 23*u - 9*u. Let k(r) = r**2 + 28*r. Determine k(y(b)).\nAnswer: b**2 - 28*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6*-7)\/6*9\/(-21). Let n(j) be the second derivative of 2\/3*j**4 + 0*j**2 + 1\/21*j**7 + 0 - 2*j + 1\/3*j**i + 3\/5*j**5 + 4\/15*j**6. Factor n(z).\nAnswer: 2*z*(z + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*i - 3*o + 53 = 161*i, 112*i + 113*i - 228*i = 4*o - 67 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from gqqggqgggg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c - 5*y + 35 = 0, c = -5*y + 27. Let a be ((-4)\/12)\/((-1)\/12). Suppose o - a*t = 66, -c*o + 183 = o + 3*t. List the prime factors of o.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 7. Let n be j(7). Solve -s - 1 = -n*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*-1.6\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-22) - 4\/22. Suppose u = x - n - 83, 3 = n - 1. What is the remainder when (-6)\/(-4) - x\/(-6) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3197 - 3371.3. Let w = -174 - d. Put -0.07, -2, w in increasing order.\nAnswer: -2, -0.07, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j. Suppose j = -4*h + 4. Let u(w) = -w - 2. Let m be u(-2). Sort 5, m, h in increasing order.\nAnswer: m, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - 1) + (-37 - -49)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93)\/28 + (-434)\/(-6076).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188 + 3*s**2 - 188.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 267904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, q: 3}. What is prob of picking 2 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 3*a**2 - 3*a + 3. Let v be d(3). Which is smaller: -4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 9:53 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 141667689 to the power of 1\/3, to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -754306 + 1081674917\/1434. What is the common denominator of -70\/27 and y?\nAnswer: 12906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 24171 and -883477?\nAnswer: 907648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/6 - (-1)\/2. Let d(j) = 2*j + 1. Let m be d(k). Suppose 0 = -m*f - 7 + 25. Solve -3*w - f = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 49*f**2 + 25*f - 89. Let w be q(49). Suppose 2*m = -2*k + 1397 + 891, -5*m + w = k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -9e?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/9 - 100990*d**2\/9 + 424940672*d\/3 + 141658112.\nAnswer: 2*(d - 25248)**2*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -2\/9, -1\/9, -1 in decreasing order.\nAnswer: -1\/9, -2\/9, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -7. Suppose o*v - 5*v + 4*z = -48, 0 = v + z - 9. Suppose -p = -5*p + v. What is the remainder when 8 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24100575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4 - 6. Let w(v) = v**3 + v**2 + v. Let c be w(0). Suppose o*y + 5*u = c, 0*u - 3*u - 8 = -y. What is the nearest to 0 in -4, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 3168409.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 42*w + 370. What is m(-6)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1194526?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 8*d**2 - 2*d - 12. Suppose 2*c + 6 = -10. Let v be f(c). Suppose h = v*h - 30. Which is smaller: h or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 170818 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, -3, -3162, 0, -122?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -562, -1122, -1684, -2248, -2814, -3382, -3952?\n\"Answer: -t**2 - 557*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/19 + 552350*r\/19 - 1657068\/19.\nAnswer: 2*(r - 3)*(r + 276178)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(325) + 1)*6 - sqrt(325))**2 - (-4 + sqrt(325)*1 + sqrt(325)) - (1 + sqrt(117) + sqrt(117) + 4 + -1))*-5.\nAnswer: -40800 - 1420*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*8\/36*-1*-189. What is the greatest common factor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-38)*12\/(-15)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -0.766, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/2448094 and -47\/26983.\nAnswer: 26929034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2370 and 3437127?\nAnswer: 2715330330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/3 + 996*z**2 + 2992*z\/3.\nAnswer: -4*z*(z - 748)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/4825966 and 47\/3.\nAnswer: 14477898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36605 is divided by 18300?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 + -9 + (2 + -11 - -13) + 51.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.8 - -0.2. Let y = o + -4.7. Let t = y - 3.3. What is the biggest value in 1\/3, t, 0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 4*a + 7. Determine k(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 217587 and 246?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 - 137*q - 630. Let x be i(-5). Let v be -1*(0 - -1) + 4. Solve -v*s - 2*s = -x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*d**3 + 2 - 24*d**3 + 6*d**4 - 2*d + 2*d**2 + 0*d**2 to u*d + y*d**3 + s*d**4 + o + m*d**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82.16 - -82.012. Is 4 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**2 + 415*t - 10300 = 0. What is t?\nAnswer: -103, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*v + 4, -4*x - 3*v + 35 = 0. What is the remainder when 74 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.1 in -4, -2, -52, -0.4, -14, 2\/265?\nAnswer: 2\/265","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 114 = -62. Calculate the remainder when 336 is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/3)\/((-12)\/(-12))*22960\/615.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z - 53. Let w be c(-15). Solve -2*o + 2*a - w = -o, 3*a - 5 = -4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 223464, 223472, 223480, 223488, 223496?\n\"Answer: 8*k + 223456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a**3 - 95*a**2 - 20*a + 60 = 0.\nAnswer: -6, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*m**2 - 3*m**2 + 6*m**2 - 12*m**2 in the form z*m + u + j*m**2 and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -48838458.2.\nAnswer: 48838462.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1790043*v. Let j(c) = 3*c**2. Determine q(j(h)).\nAnswer: -5370129*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -305235.3 rounded to the nearest ten thousand?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/100 and -31\/437260?\nAnswer: 2186300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51462, 51465, 51466, 51465, 51462?\nAnswer: 51457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 + 76 + -150)*((-66)\/18 + (-3)\/(-1)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 741 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 + -4 - (7 + (24 - 2))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -14191\/34 less than -417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6825115 divided by -5?\nAnswer: -1365023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (0 - 0) - -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199181?\nAnswer: 199181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**3\/6 - 5*a**2\/2 + 2*a. What are the prime factors of c(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*u + 21 = 0, -17 = -3*k + 4*u - 2*u. Let l be 22\/143 + 126\/26. Suppose l*i - 3*i = 6. Solve 18 = -i*q + 2*c + k, 2*c = 4*q + 16 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.078? (a) 1\/4 (b) -0.31 (c) -2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*s - 119*s + 4472 = 0. Calculate the smallest common multiple of s and 3 - (-24)\/(-4) - -91.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -858*i - 1383. What is the ten thousands digit of z(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 16 - -11) + (-5 - (0 - 7))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -167*j**3 - 11*j**2 + 6. Let d(r) = -164*r**3 - 13*r**2 + 7. Determine -7*c(p) + 6*d(p).\nAnswer: 185*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 184 - 92. Suppose r*y - 95*y + 378 = 0. What is the highest common factor of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**4 + 27*t**3 - 25*t**2 - 27*t + 26 = 0.\nAnswer: -1, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29\/42 + -4\/21. Let q = 3\/14 - r. Let s(n) = n**3 + 3*n**2 - 14*n - 45. Let z be s(-3). Which is the biggest value? (a) 3\/4 (b) z (c) -0.1 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*s + 2. Let o(x) = 5 + 5 + s - x. List the prime factors of o(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2*sqrt(192) + sqrt(192))**2 + 3)*3 + -3 + ((sqrt(9)\/sqrt(3))**2 + 1)*-1.\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*a - 29*a = -197 + 1093. Let z(u) = -u**3 - 15*u**2 - 8*u + 16. Calculate z(a).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 161*d. Let m(t) = 10*t. Let r(k) = 49*m(k) - 3*q(k). Let v(w) be the first derivative of -w**2\/2 + 1. Give v(r(f)).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - -179. Calculate the remainder when h is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(180))**2 + 5)*-6.\nAnswer: -1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -16261 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/4)\/(12\/1168). Suppose 310 + o = 11*c. Find the second derivative of -15*d + 84*d**3 + c*d**3 - 142*d**3 wrt d.\nAnswer: 60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -72.56 and 1?\nAnswer: 73.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44468 and 412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*o = -57*o - 22*c + 56, 0 = -o - 3*c + 11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05 (b) 0.4 (c) -4 (d) 55565\/6 (e) 5 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/109392129 and 1\/128485.\nAnswer: 546960645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -447*t**3*y**3 - 109*t**3*y**2 + t**3*y - 4*t**2*y**2 + 14366*t*y**3 wrt t.\nAnswer: -2682*y**3 - 654*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2267140, 4534289, 6801448, 9068623, 11335820, 13603045, 15870304, 18137603?\n\"Answer: j**3 - j**2 + 2267145*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 13321330?\nAnswer: -13321323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 8. Suppose 15 = -3*z, 1 + 0 = 3*n - 5*z. Let a = n - m. Let h(s) = -6*s. Calculate h(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**3 - 3*w + 11. List the prime factors of z(5).\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence slg when three letters picked without replacement from lllllglklclslllkkk?\nAnswer: 11\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5)*y)**(26\/7)*(y\/(((y**5*y)\/y)\/y))\/y*y**4\/y assuming y is positive.\nAnswer: y**(43\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(7) + 0)**2 - (-3 + (sqrt(77)\/(sqrt(11) + sqrt(33)\/sqrt(3)))**2).\nAnswer: 125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q + 21 - 3*q + 2*q + 0. Let u be y(-10). Sort u, -2, -5 in decreasing order.\nAnswer: u, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538 - 549 - 1972*i**2 + 1619 - 532.\nAnswer: -1972*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k + k - 9*k)*(-1 + 2 - 4)*(-101 + 101 + 178*k**2).\nAnswer: 1068*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*a - 5*a. What is the units digit of (a + (-39)\/4)\/(4\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 24*b - 1. Let y be x(-21). Suppose -24*p + y + 34 = 0. Let t = -13 + 16. Solve -o - t = -p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121110110 + -12?\nAnswer: 1121110021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*j + 30. Let w be 273\/j + 1\/(-6). What is the greatest common factor of w and 150?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -31*z**6\/2 + 4*z**3\/3 + 7*z**2 + 24. What is the third derivative of k(c) wrt c?\nAnswer: -5580*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, h: 1, l: 1, r: 1, x: 1}. Give prob of picking 1 l, 1 x, and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 1. Let s be 2\/(-7) + (-4170)\/105. Let m = 45 + s. What is v(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -715214.05563 + 715202. Let i = -12.1 - k. Round i to three dps.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136907397 is divided by 2590.\nAnswer: 2587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p**3 + 123*p**2 - 479*p + 498. Let l(w) = w**3 - 5*w + 2. Let z(t) = -2*i(t) - 10*l(t). What is y in z(y) = 0?\nAnswer: -127, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.6 and -1.81.\nAnswer: 2.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 7*g**2 + 6*g - 10. Let z be l(-8). Let s = z + 2. Solve 20 = -s*j + 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddpdddddoddd. Give prob of picking 1 o and 2 d.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 450, 1810, 4076, 7248?\nAnswer: 11326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/28)\/(1845\/(-5166))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19800 + 21973. Calculate the remainder when f is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 3*a + 4*u = 985, 1623 = -5*a + 2*u. Let t = -198 - a. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 267041080?\nAnswer: -267041083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgmndldn. What is prob of sequence dg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1497 = -9*v + 1554. Which is bigger: 340 or v?\nAnswer: 340","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 7) to base 14\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 768 and 1657536?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*sqrt(448) - sqrt(448))**2*4.\nAnswer: 80640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-11) + (1 - 3)\/(440\/(-2828500)) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*o - 3*o**2 - 15*o**2 - 15*o in the form z*o + f + g*o**2 and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*r - 29 = 25*r + 10*r - h, 2*h + 11 = 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h - 6. Let n be u(-4). Suppose k = -n*k + 57. What is the remainder when k is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 6:46 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86 - -776\/9. Let l = -4372 + 4371.9. Which is the closest to m? (a) l (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/8)*t\/((t*t**(4\/5))\/t*t*t))\/(t**(2\/23)*t**(-4)\/t) assuming t is positive.\nAnswer: t**(2979\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c (base 13) in base 16?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15561239 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -327080 divided by -2516?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(65) + (sqrt(65) - -2*sqrt(65)*-5))*-4)\/(2*((sqrt(180) - 2*sqrt(180)) + sqrt(180) + sqrt(180))*4).\nAnswer: -4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 120 = 3*o - 271, 0 = -2*n + 4. What is the remainder when o is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**0\/n)*n)**(-18)\/(n*n\/((n\/((n\/(n\/(n**(-2\/7)*n)))\/n))\/n)*n)**(1\/10))\/(n**(-7)\/(((n*n**(-2))\/n)\/n))**37 assuming n is positive.\nAnswer: n**(6561\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1616, 3234, 4852, 6470, 8088, 9706?\nAnswer: 11324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 152699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzm when three letters picked without replacement from xmtzzzxtmmxxx.\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90652977 is divided by 64?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 402*i - 110 + 409 + 103. Let s = -0.01 - 0.29. What is the nearest to i in 5, 2\/13, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 w when four letters picked without replacement from wxwxxxwxxx?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*u + 89 - 320 = 0, 3*n + 2*u - 150 = 0. Calculate the greatest common divisor of n and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0*b - b)*(5340 + 671*b - 5340) + 2*b**2 + 0*b**2 - 29*b**2.\nAnswer: -1369*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 848.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 15 = -v - 30, i = -4*v - 70. Let y(c) = 31*c**3 + 6*c**2. Let b(f) = -94*f**3 - 17*f**2. Determine v*y(u) - 6*b(u).\nAnswer: 37*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148101 is divided by 374?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 + -129\/2. Let d = -113\/4 - -28. Which is the nearest to 1? (a) 1 (b) d (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**5\/6 - r**4\/12 + r**3\/6 - r**2 - 93. Calculate g(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9*i**2 + 2*i + 1. Let c be g(-1). Suppose -4*h = h + n - c, -h - 2*n = -7. Calculate the highest common factor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, z: 2, j: 3, y: 7}. Give prob of picking 1 y, 2 o, and 1 j.\nAnswer: 196\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 66833339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 1698*w. Let l(t) = -2*t. Calculate i(l(k)).\nAnswer: -3396*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 770c9 (base 14) to base 15.\nAnswer: 5a64c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-180)\/(-27) + (-35)\/5. Let j be (-4)\/6 - (225\/30 - 9). Let z be (-2)\/6*(2 - 0). Which is the closest to s? (a) z (b) j (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 919453 is divided by 546.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 5*j - 3. Let b be x(5). Put 1, 2, b in decreasing order.\nAnswer: 2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/56)\/((-1)\/(3*2)). What is the nearest to 2 in 1, 0.2, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6124235 + 3318.\nAnswer: 6127553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(650)*1 + sqrt(650))\/((sqrt(12) - (sqrt(192) + sqrt(12)))\/sqrt(6)).\nAnswer: -5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 12 + 1 - 207*o**2 + 194*o**2. Let t(q) = q**2. Determine v(t(d)).\nAnswer: -26*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.051.\nAnswer: -0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1557*i - 472*i + 316*i.\nAnswer: -1713*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and -62\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1141044 + -2?\nAnswer: -1141101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 738 and 13537278.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-20)*(-12)\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -3*h - 583 + 634, 0 = -k - 3*h + 51 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1098*j**4 + j**2 - 6252 wrt j?\nAnswer: 4392*j**3 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 7*n**2 - 1. Let u = 10 + -3. Let k be g(u). Let y = -29 + 34. Let h(v) = -v**3 - 4. Let d(f) = -1. Calculate k*h(o) + y*d(o).\nAnswer: o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -7*i**3\/3 + 7*i**2\/2 + 4. What is the second derivative of r(q) wrt q?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/((-6)\/4) - 6. Let x = 5 + -4.7. What is the nearest to 1 in x, 1\/3, n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*l**3 + 2 - 362*l**2 - 359*l**2 - 7*l + 717*l**2 + 6*l + 4*l**4 as s*l + r*l**4 + v*l**2 + g + f*l**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, q: 12}. What is prob of picking 2 y and 1 q?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/12 in -2, 0.3, -17, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 8*x**2 - 262*x + 190. Give q(32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6 = 0, 2*v + 6*j - 3*j = 2. Let p(b) = -b**2 - 6*b - 6. Let y be p(-4). Suppose -2*k - 5 = 3*k. Sort v, y, k in decreasing order.\nAnswer: y, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w**2 - 80*w**2 - 96*w**2.\nAnswer: -159*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -q - y, 5*y + 23 = 5*q - 2. Let c = 110 + -78. What is the highest common factor of c and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**4\/4 - 11277*n**3\/4 + 7290855*n**2\/2 - 1753625775*n + 171398526750 = 0.\nAnswer: 129, 1210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44*c - 587*c**3 + 1144*c**3 - 561*c**3 + 4567 + c**4 wrt c.\nAnswer: 4*c**3 - 12*c**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5525*v**4 + 26*v**3 + 4*v - 77554 wrt v.\nAnswer: -66300*v**2 + 156*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -459 - -771. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + q + 0*q + 216 = 0, -y = 3*q - 40. Let m = -43 + y. Solve 4*z + 9 - 1 = m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 - 1 + 1)*(3 - 1 - 1) - 2*n**3 + 2 - 2 - 25*n**3 + 14*n**3 + 52*n**3 + 3*n**2 + 2*n**3 + n**2 - 2*n**2.\nAnswer: 42*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2159 and 0.16.\nAnswer: -345.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4463*h**2 + 0 + 0 - 4551*h**2.\nAnswer: -88*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1308810435?\nAnswer: 3, 5, 37, 983, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 8:27 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 5*d + 8. Let o be (-28)\/8*2\/1. Does 19 divide k(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a decade in months?\nAnswer: 2580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -460764828 divided by -4.\nAnswer: 115191207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81882720 by 13647120.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*z = -4. Let u be ((-34)\/(-8))\/(z\/(-16)). Let m = u + -12. Calculate the highest common factor of 2 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 5*k**2 + 4*k - 5. Let y be q(-6). Let g(u) = -6*u - 2 + 0 - y*u - 3*u. Let j be g(-4). Calculate the greatest common factor of j and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 6 + 2 + 8 - 3. Let f be c(-7). Let j be (-8)\/5*(-15)\/f. Solve -9 = j*x - x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -50*(25\/10 + -3). Let u(m) = 9*m + 14*m - f*m. Let i(b) = -215*b**2. Determine i(u(k)).\nAnswer: -860*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*f - 41*f + 99*f + 2716 = 0 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -1b4386a?\nAnswer: -1b43865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide (-36)\/10*(8040\/(-9))\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.51 + 78156902275.\nAnswer: 78156902274.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -275622 and 481532.\nAnswer: 205910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/9 - (-16)\/6. Suppose -5*n + b = -18. Suppose -3*l = n*o - 0*o - 484, 0 = 2*l. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/21*2)\/(18 - 5400\/315)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.15042457 - 0.09382304. Let z = x + -0.0566. What is z rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f - 5. Let m be 1*(f - (-2)\/(-4)). Let h be 16\/(-28) - 2\/(-7). What is the closest to m in -1\/5, h, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 139, 7\/4?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1544027517?\nAnswer: 3, 9643, 17791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 h when four letters picked without replacement from scchsschsccsmshcccc.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1026)\/57 - 13\/((-715)\/1177).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 18, 24, 32, 42, 54, 68?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 774.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 10 + 54*a - 315 - 746*a - 8*a**2 - 1063 + 4*a**2 = 0. What is a?\nAnswer: -171, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343986 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 0, -152, 0.9588?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -65, 4, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -0.1 (c) 2\/47507\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 7:04 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23113231 (base 6) to base 13.\nAnswer: -1bb017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 3*m**2 - 3*m + 4. Let l be c(3). Let s = 5 + l. Let v be 1*(s\/2 + 3). Solve -v = -4*o - 19 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 45*h + 72. Let w be m(-2). Let n = 87 - w. What is the remainder when 108 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -106 (c) 3 (d) 1\/4 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 5*v + 37. Let m = 7 + -5. Calculate the smallest common multiple of g(9) and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 438, -2382, -10052, -24996, -49638?\nAnswer: -86402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 388, 389, 390, 391, 392, 393?\n\"Answer: q + 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 9 + 3*z**2 - 2*z**2 + 67*z - 73*z. Calculate x(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 5:54 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59612.\nAnswer: 2, 7, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 9:13 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n**2 + 3*n - 1. Calculate g(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 402*r**3 + r**2 + 60?\nAnswer: 1206*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -10*x + 20. Let o be f(2). Let z(g) = g + 5*g - g**2 + o*g - 725 + 728. Determine z(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2046006 is divided by 888.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55791.\nAnswer: 3, 6199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 + y**2 - 24*y + 25. Let p be n(3). Solve 82 = -p*w - 14 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**2\/5 - 10314184*m\/5 - 13297798948232\/5 = 0.\nAnswer: -2578546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0371 - -0.2601. Let z = 0.283 - t. Sort -0.2, -0.7, z in descending order.\nAnswer: z, -0.2, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(-15)*y)\/y)\/y)**(2\/99)\/(y\/(y*y**(-17)))**(-4\/3))**(-1\/3) assuming y is positive.\nAnswer: y**(-82\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 562823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.333 - 1.217. Let w = -0.87981 - y. Round w to 4 dps.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2. Let i(v) = v**2 + 70*v. Determine m(i(h)).\nAnswer: 2*h**4 + 280*h**3 + 9800*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 + 68. Let p = 0 - -0.4. Let t = 70\/261 + -4\/87. Which is the closest to t? (a) q (b) -0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -5.777576966\nAnswer: 11.777576966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -89, -33 in decreasing order.\nAnswer: -11, -33, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 2633*i**6\/60 - i**5\/30 + 1003*i**4\/8 - 561*i**2. Find the third derivative of b(g) wrt g.\nAnswer: 31596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 - 4 + 4 + 2*v**3 + v**5 + v**4. Let y(r) = 3*r**5 + 4*r**4 + 7*r**3 + 6*r**2. Let j(p) = 8*d(p) - 3*y(p). Factor j(z).\nAnswer: -z**2*(z + 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - z - 4)*(4603*z**2 - 2300*z**2 - 2305*z**2 + 102*z) to o + g*z**2 + w*z**3 + h*z and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*3\/(-11).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97*k - 2035 + 2035 to m + b*k and give b.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44036, 44009, 43964, 43901, 43820, 43721?\nAnswer: 43604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 944 = -c, 0 = -5*t - 3*c + 4*c + 1179. Suppose -4*h + h = -2*a - t, -4*h - 2*a = -304. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from wwmsmwwsdmdwwmmwd?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 15*a + 4. Let g(c) = c + 19. Let b be g(-4). Let p be k(b). Suppose -3*i = -i - 64. Calculate the highest common divisor of i and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.07, -1, -4\/101, 9 in decreasing order.\nAnswer: 9, 0.07, -4\/101, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 702 divided by 9.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -103, -363, -1067, -2437, -4695, -8063, -12763, -19017?\n\"Answer: -37*w**3 - w - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12 - 11)*-10 + (-9)\/((-45)\/50). Let z(y) = -2*y**3 - 2. Let g be z(-2). Put u, g, -1 in decreasing order.\nAnswer: g, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153300 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*u - 26 = 0, 0 = -3*r - 1430*u + 1434*u + 2. Let w(l) be the first derivative of 2*l**2 - 5*l - 1. Calculate w(r).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 14*y - 7. Let r be n(-13). Let p be ((-14)\/r)\/(5\/120). Let c = p - -78. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/9*0 - -5. What are the prime factors of (-408)\/(-30) - (-2)\/g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 18. Let a = b + -6. Solve 0*c + a*c + 8 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 0*q - 2*q)*(4 + 1 - 6) + (-2*q + q - q)*(1 - 3 + 1) + 2*q + 0*q + 0*q as l*q + b and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 4*k + 5. Let p be a(4). Suppose -26 = -p*g + 2*r - 3, -g - r + 6 = 0. Solve w - 5*d - 25 = g*w, 21 = -5*w + 4*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 19*l - 4. Let n(c) = -37*c + 15. Let x(y) = -y + 4. Let u(t) = -n(t) + 2*x(t). Let h(g) = -11*a(g) + 6*u(g). Calculate h(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6 + 2.6. Which is the third biggest value? (a) -5\/9 (b) 0.2 (c) 0 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40479031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 642676572096 take away -2?\nAnswer: 642676572098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*u + 2*q, 4*q = -4*u. Suppose -5*v + 20 = -u*v. Suppose 3*g + 3*h + 51 = v*g, -5*g + 295 = 5*h. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -7. Suppose -g - n*o + 22 = 0, -4*g + 0*o - 12 = -4*o. Let j be g\/(-6)*(-87)\/145. Which is the third biggest value? (a) j (b) -1 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o - 4*o + 5*o + (-1 + 3 - 1)*(0 + 2*o + 0) to u*o + d and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2961 + -2959. Solve 0 = 3*j - t + 12, 15 - 21 = -o*t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/((-336)\/7))\/(2\/(-16)*2)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 9*z - 6. Let w(j) = 27*j - 19. Let q(f) = 8*v(f) - 3*w(f). Let y be q(-8). Let c be y\/(-3)*22\/(-6). What is the highest common factor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19377.7 times -0.06?\nAnswer: 1162.662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 503*l**3 + 495*l**3 + 497*l**3 + 500*l**3 - 2989*l**3 + 503*l**3 + 489*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(-6*v + 4*v + 0*v)*(-6 + 13 - 6).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3242774*u**3 + 154*u + 3865.\nAnswer: -19456644*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40305 (base 6) to base 7.\nAnswer: -21305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 286 (base 10) to base 15\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 11*p**2 - 9*p - 23. Let r(c) = -30*c**2 + 25*c + 68. Let s(q) = 11*b(q) + 4*r(q). What is s(-8)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2437276 is divided by 2364?\nAnswer: 2356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -268429 + -1\nAnswer: -268430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 1. Let y(w) = 5*w**3 + 4. Calculate 20*t(r) - 5*y(r).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 11933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*x**2 - 12*x**2 - 11*x**2 to the form y*x + l*x**2 + b and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4312045 (base 7) to base 10\nAnswer: 524137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q\/(q\/q**(2\/87)))\/q*q**(-22\/7)*q*q)\/(q**(9\/2)*q)**(3\/4) assuming q is positive.\nAnswer: q**(-20681\/4872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 6 = -3*u, -5*u + 11*z - 17*z + 10 = -7*z + 18 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3737 (base 11) in base 5?\nAnswer: -124010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u + 3 - 3)*(3 + 0 + 0)*(17 - 16 + 22) + 4*u + 2 - 2*u - u in the form b*u + g and give b.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2492237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7517765747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 1215.5742906.\nAnswer: 1215.0742906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n - 6. Let c be (n - 3) + (-3)\/(-1). Suppose -c*i - 66 = -6*i - g, 3*i - 45 = -3*g. What is the greatest common divisor of 17 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 + 2*f**3 - 2*f - 2*f**3 - 4*f**2 + 4*f - 2 as k*f + i + v*f**2 + s*f**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 9*p**2 - 2*p + 21. Let q be n(9). Suppose 0 = 4*h + q*r - 711985, r = -r - 10. What is h rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/453, 5, 2\/21, -3 in descending order.\nAnswer: 5, 2\/21, -2\/453, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5\/5 + 20*p**4 - 12316*p**3\/5 - 12512*p**2\/5 + 12314*p\/5 + 12412\/5 = 0. Calculate p.\nAnswer: -107, -1, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245056257 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*r + 4 = -46*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -51, -83, -101, -99, -71, -11, 87, 229?\n\"Answer: c**3 + c**2 - 42*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -2.8. Let l = 1 - 5. Let t = 3.6 + l. What is the smallest value in 2, t, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 343 + -341. Suppose -4*o + 340 = -2*t, -o = o + q*t - 158. List the prime factors of o.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*p - 3*t + 133 + 199, -7*t + 44 = -2*p - 108 for p.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(11\/6)*d\/((d\/(d**28\/d))\/d))**10)**(-12) assuming d is positive.\nAnswer: d**(-3580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 842 and 55513481?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -485652519?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y + 2*d - 4, 4*y - 2*d + 2 = 0. Suppose y*m - 14 = -5*m. Suppose 0 = 3*f - 5*j - 409, -m*f + 0*f = -3*j - 271. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -176 or -178?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5571*t - 2*t**2 - 5571*t - 4*t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -1. Let k be (-1 - (-5 + 2)) + b. Is 20 a factor of k\/((-3)\/1) - -20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 129.4272 to 1 dp.\nAnswer: 129.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -7*d + 32. Let u be y(5). Let w(i) be the first derivative of 1\/4*i**4 + i**2 + 1 + i**3 - i. Determine w(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**4\/30 - s**3\/15 + 2*s**2\/5 + 10*s. Factor t(z).\nAnswer: -2*(z - 1)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5059*w**2 - 17246*w**2 - 5197*w**2.\nAnswer: -17384*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 6254631?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 + (-1796)\/(-12). Suppose 5*m = 15 + v. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111011110 + 111110101100?\nAnswer: 1110110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 572 and 559364?\nAnswer: 6153004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -c + 1253, -5738 = -3*c - 3*m - 1934. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -49104?\nAnswer: -5\/16368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.77 times -2.530165?\nAnswer: 7.00855705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, -2.4, -1\/2, 1, -3\/2.\nAnswer: -2.4, -3\/2, -1\/2, 1, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -923118.87 rounded to the nearest 10000?\nAnswer: -920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22354 (base 10) to base 14.\nAnswer: 820a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 225946662 to the power of 1\/4, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -9. Suppose 4*r + 3*m = 3, -4*r + 6*m = o*m + 4. Suppose -3*s - s + 21 = 5*c, 2*c + 5*s - 22 = r. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (484\/(-13310))\/((-2)\/(-22)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1985517963 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -16*i + 29. Solve 5*n - i = 2*a - 2, a = n - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1318700 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Let s(k) = -52*k + 6. Let c(o) = -6*o + 1. Let n(r) = -9*c(r) + s(r). Determine n(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*h + 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252, -488, -798, -1158, -1544, -1932, -2298, -2618?\nAnswer: -2868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49017 is divided by 1581?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -27*c - 23. Let a(h) = 189*h + 162. Let z(i) = -5*a(i) - 36*f(i). Let n be z(4). What is the greatest common divisor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-7)\/(14\/(-8)))\/(3904\/64*-2)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 40 = -k, -k - 280 = 4*k + f. Let j be (k\/(-44))\/(1\/(-4)). Is (4 - 1425\/j) + 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 617229 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a - 5. Let k(f) = -2*f - 2. Let c be k(-5). Let b be ((-26)\/c)\/((-4)\/16). Suppose b = -2*y + 9. Let w(g) = 4*g - 2. What is y*u(x) + 5*w(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -16, -4, 3 in descending order.\nAnswer: 3, 1, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -724515.500116 - -724513. Let p = -2.5 - d. Round p to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6735 = -3*x, 4*x - 8985 = 12*a - 7*a. Suppose 4*w + r - 2989 = 0, 6*r = -3*w + 7*r + x. Calculate the greatest common divisor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2)\/r)\/(r*r**0)*(r*r**0*r)\/r*r*r**(-2))**(-13))**35 assuming r is positive.\nAnswer: r**1820","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12.34 and 0.4.\nAnswer: 12.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -111.\nAnswer: -8\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -55 (b) -0.05 (c) 5\/8 (d) -287\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/8)\/((-7)\/(-24)*(-630)\/(-441))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21488?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2544 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25483 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 - 6*l**2 - 8*l**2)*((0*l**2 + 3*l**2 - l**2)*(1 - 1 - 1) + 15 - 15 - 2*l**2)*(1 - 10*l - 1).\nAnswer: -360*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-2 - -3) - (-323556)\/9140. Factor -2\/5*m**2 - w*m - 3698\/5.\nAnswer: -2*(m + 43)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2224*q - 4106*q + 127976 for q.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -443*w**2 + 483*w**2 - 40*w**2 - 21*w**3 - 7*w**3.\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + 42. Suppose -k*v - 200 = -70*v. Let u = -36 - v. Calculate the highest common factor of u and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*z - 17 = 0, -4*c - c + 10 = 2*z. Solve d + 1 = 2*o - 4, c*o - 40 = -4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2665\/65 + -40)\/(1196\/400 + -3).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*c = -1084, 804 = 2*p - 5*p - 3*c. Calculate the remainder when ((-288)\/10)\/(36\/p) is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*c**2 - 5*c**3 - 7*c**2 - 4*c + 3838 + 7*c**4 - 3842 - 6*c**2 to a + l*c**3 + n*c**4 + y*c + u*c**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**6\/1080 + w**5\/90 - w**4\/18 - 5*w**3 + 3*w. Let z(o) be the second derivative of c(o). Solve z(b) = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 0*y - 4*g + 20, -4*y + 31 = 5*g. Let b(i) = -i + 4. Let z be b(5). What is the second biggest value in z, -3, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1350977\/30 + -45028. Find the common denominator of -61\/16 and z.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 659 - 395. Let x = 5261 - 4591. Suppose 0 = 2*i - x + p. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 84\/13 (b) -0.5 (c) 3 (d) -5\/4 (e) 21 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -763, -1074, -1385, -1696, -2007?\n\"Answer: -311*f - 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1012*q - 77149 = -7321 for q.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 124 + -1 - (13 - (-15 + 16)).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 0, -4 in decreasing order.\nAnswer: 18, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4899983197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**4\/3 - 65*b**3 - 5685*b**2 - 259045*b\/3 - 352170 = 0. Calculate b.\nAnswer: -27, -13, -7, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 4:03 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + 9 + (4 - (20 - 28 - (0 - 2))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42419077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*q**3 - q**2 - 228*q + 117*q + 110*q)*(0 + 2*q + 0)*(-9 + 9 - 21).\nAnswer: -2604*q**4 + 42*q**3 + 42*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22345 - -3?\nAnswer: -22342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 2*t + 4. What is p(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*x**3 - 5*x**4 + 1 + 2*x + 2*x**3 as c + k*x**4 + a*x**2 + f*x + j*x**3 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2. Let a(i) = 1108*i - 404*i - 447*i. What is a(l(w))?\nAnswer: -257*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 580 a factor of 164003628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*g - 23*g = 24*g. Let x(l) = -l**3 - l - 11. Calculate x(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -a - 0*g + 4*g, -4*g = 5*a + 2. Suppose -a*l + 1296 = 5*h - 695, 3*l + 4*h - 2990 = 0. Suppose 3*j - 565 = l. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10\/9 (b) -2\/45 (c) -352\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -239282912 - 0.07\nAnswer: -239282912.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 5. Let w(t) = t**2 + 4*t + 1. Let f(u) = u**2 - 5*u - 4. Let k be f(5). Calculate the smallest common multiple of s and w(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 2*g**2 - 8*g**2)*(50*g**2 + 18*g**3 - 50*g**2).\nAnswer: -72*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9577345, 9577341, 9577333, 9577321, 9577305, 9577285, 9577261?\nAnswer: 9577233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 179798 or 179799?\nAnswer: 179798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + -4 + 40\/(-16). Suppose -7*y = -2*y + 5*t + 40, 0 = 4*t - 12. Let l be 2\/y - 0\/(-3). Which is the third biggest value? (a) -0.4 (b) i (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/5, -17, 0.069, 0.3, 3\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102.25 + -122. Let b = m - -19.74998761. Round b to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/1 + 49*1. Let v be (-24)\/(-66) + (-768)\/(-66). Calculate the greatest common divisor of n and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16872 by -12.\nAnswer: 1406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3152*n + 1392. What are the prime factors of d(-4)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2635014 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56776 is divided by 2483?\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 337 - 317. What is the highest common divisor of d and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4264?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1965 and 309?\nAnswer: 202395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35729716766 - 8.\nAnswer: -35729716774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1489117326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/((-5)\/4))\/((-6)\/135*3). Put -1, 1, g, 11, 0 in decreasing order.\nAnswer: 11, g, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 = -0*k. Let u(r) = 117*r**2. Let d be u(k). Suppose 15*t - d = 12*t. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/8*(-8)\/(-6). Which is the nearest to -1? (a) -0.5 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -3*z**5\/80 + 13*z**4\/16 - 7*z + 48. Let r(p) be the first derivative of j(p). Solve r(u) = 0 for u.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 698, -4, 3, -22, 2 in decreasing order.\nAnswer: 698, 3, 2, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -104, -344, -738, -1280, -1964, -2784, -3734, -4808?\n\"Answer: y**3 - 83*y**2 + 2*y - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h. Let j(x) be the third derivative of x**4\/24 + 36*x**2 - x. Give -17*j(a) - 6*y(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44857069*o**5*x + 2*o**2*x**3 - 110*o*x**3 - o*x - 2*o + x**3 + x**2 - 16*x wrt o.\nAnswer: 897141380*o**3*x + 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1753.000001567 + 1753. Round z to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/24)\/(49\/63*4).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19223582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-10) + 19 - (16 + (-3 - 0))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 167042 and 986.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -0.3 (c) -1.9 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -30*n + 183. Let o be j(6). Which is the nearest to 17? (a) -7 (b) o (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.16 - -0.26. Let l = 4435 + -17741\/4. Which is the second smallest value? (a) 1 (b) -0.4 (c) t (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 220822490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 1:48 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -4 - 3) + 0. Let d(w) = w**3 - w**2 - w + 5. Determine d(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -94 + 93 - (10 + -2 + (3 - 3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 l when four letters picked without replacement from lllplpl?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 319222.8 rounded to the nearest one thousand?\nAnswer: 319000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*t + 3*m, -7*t - 5*m = -3*t - 12. Let o be 2*t\/4 - 2. Let s be 2 - (o + 1 + 0). Solve -a = -s*d - 9, 2*a + 3*d = -0*a + 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 2526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89610 and 5568.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1420 = -4*o. List the prime factors of o.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.27 times -1?\nAnswer: 4.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k. Let y(b) = 10*b**2 - 4*b**2 - 4*b**2 - b**2. Give y(v(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (93\/217)\/((-3)\/2)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 12:12 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2. Let x(r) = -r - 2. Let n(z) = -5*z - 9. Let u(i) = 2*n(i) - 9*x(i). Determine b(u(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 262*c + 1934. What is d(7)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + 167 - (0 - 2). Suppose -30 = 6*b - f. Suppose -2*l - b = -8*l. What is the remainder when l is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110379839*-3\nAnswer: 331139517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 + 0.29. Suppose 10 = 5*q - 5. What is the fourth smallest value in q, 0, d, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14780653, 29561302, 44341951, 59122600?\nAnswer: 73903249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eevvhevvve. Give prob of sequence vvvv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/857048 and -91\/7190?\nAnswer: 4285240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2711631 and 276?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48857 or 48907?\nAnswer: 48907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 147*o**4\/4 + o**2 - o + 8. Let g be f(1). Let z(u) = u - 148 + g. Determine z(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 5*a + 25, l - 1 = 4*l + 5*a. Suppose 2574 = 15*k + l*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1141, -2281, -3419, -4555?\nAnswer: -5689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-98)\/(-105)*26\/(7800\/(-250))\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 6. Let w be j(28). Suppose -5*y = -i + 3, 3*y + w = 5*i - 3*i. What is the remainder when 169 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnpnncnpcfpncfpnpnnn. Give prob of picking 2 c and 2 p.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2.77 (b) 11 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/4)\/(5\/(-20)). Let j be 36\/w - 0*(6 + -5). Let v = j - -3. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1312296 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z**3 - 141*z**2 + 164*z + 198. Calculate i(34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*u - 2920 = -1888 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1386 = -4*t - 2*y, 5*y - 877 = 5*t + 878. Suppose -c + 908 = -4*j, 5*c + 932 = 153*j - 157*j. Let v = j - t. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 112a321 - 2a?\nAnswer: 112a2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g - 107. Let t be z(21). What is the third smallest value in 39, t, -2\/15, -4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-735)\/8575*(-28)\/18?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77534 times 141?\nAnswer: 10932294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16604641 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18225 + -17632. Calculate the highest common divisor of 8 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1293, -2608, -3923, -5238?\nAnswer: -6553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (8 - -7)) + (1 - -21) - 21\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(832) + -2 - sqrt(832))**2 + sqrt(832))*3.\nAnswer: -72*sqrt(13) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**2 + 198*w = 0.\nAnswer: 0, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1324 + -505. Suppose l = 2*a + 3*k, -730 = -5*a - 2*k + 1301. What are the prime factors of (a\/4 - 4) + 1\/(-4)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 6 = -3*x - 3*y, -3*x - 4*y = 1. Suppose 94*r - 98*r - 72 = 0. Let m be (-346)\/r - ((-215)\/45 + 5). Solve -x = 4*f + m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789 a factor of 38687125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 83*c - 66*c - 50711. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 4*y - 15, -1879 = -3*l - 4*y - 1866 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -943, -1090, -1419, -2020, -2983, -4398, -6355?\n\"Answer: -15*q**3 - q**2 - 39*q - 888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + -34532?\nAnswer: -34545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6050 - -10683. Is 41 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*r - 50, 3*u + 8*r = 13*r - 40. Let i(f) = 10. Let p(c) = -c - 5. Determine u*p(a) - 5*i(a).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**4 + 272*x**3 + 2148*x**2 - 32184*x - 108864 = 0.\nAnswer: -56, -18, -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -235*u + 120*u + 89*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 102734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -22*v + 997. Let l be a(44). What is the highest common factor of l and 2987?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -2\/3, 4 in decreasing order.\nAnswer: 4, -2\/3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/22 in -1, -8, 4, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -8*j - 3. Suppose 12 = -0*f + 3*f. Let m be d(f). Let l = -21 - m. What is the remainder when l is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -29 + 15 - (-1 + 3 + 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 7*y + 9. What is b(11)?\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 7*j**3\/2 + 8*j**2 - 17*j\/2 - 3 = 0.\nAnswer: -3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (23 - 0) - 1. Calculate the highest common factor of g and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2) + 74 + -58.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = -37 + 53 - 30. Sort 222, p, 2 in decreasing order.\nAnswer: 222, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**2 - 103*w - 216. Give g(-20).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o - 3. Suppose -13*f - 35 = -6*f. What is m(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.04 - 27.96. Are f and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 a, and 1 l when four letters picked without replacement from quapaakalqulllq?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 14064*x + 68 + 47 + 60 - 175 as p*x + o and give p.\nAnswer: 14064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -187*c**4 + 1975*c**3 - 51663*c**2 + 2*c - 2 wrt c?\nAnswer: -4488*c + 11850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-48))\/((-2)\/(-8)). Let j = 6.93 + 0.07. Which is the second smallest value? (a) -0.1 (b) j (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-879 - -875) + (8 - (-4 - -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 10. Let o = f - -0.8. Which is the biggest value? (a) o (b) 5 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145*n**4 + 136*n**4 + 29 + 4*n**3 - n**3 + 2*n**2 + 0*n**3 wrt n.\nAnswer: -216*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22952 divided by -1208?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q - 18 = 0. Suppose -u - 4*r = -13 + 1, -3*r + q = 0. Which is the third biggest value? (a) 1 (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-14)\/4 + 26\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17586563 not equal to -17586565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 570911*0.06\nAnswer: 34254.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -22 (b) -4 (c) -0.3 (d) 9.3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t**(3\/8)*t))**26)**38 assuming t is positive.\nAnswer: t**(1235\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 26, -7, 1, -21, -14.\nAnswer: -21, -14, -7, -4, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035844379 rounded to four dps?\nAnswer: 0.0358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = n + 12, -2 - 4 = -4*i - n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 7. Suppose n = f - q*f + 12, 2*f - 6 = 2*n. Suppose f*p - 21 = 39. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188448156?\nAnswer: 2, 3, 13, 19, 21193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364182157 to the power of 1\/2, to the nearest integer?\nAnswer: 36935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = z + 1, 5*z + 2024*h + 5 = 2022*h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 300, 1232, 2786, 4962, 7760, 11180?\n\"Answer: 311*m**2 - m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28 - -3?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3011 - 8951\/3. Let g = -565\/21 + j. What is the nearest to 0 in 2\/5, 5, g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**3)**(2\/61))**45)**(-2\/63) assuming g is positive.\nAnswer: g**(-60\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/158896 and 133\/48?\nAnswer: 476688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 19*t**2 + t + 24. Let d = 647 - 666. Let l be m(d). Solve -7*n + 8 = -l*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 370 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 9*i + 2180. Let m be y(18). Which is smaller: 2341 or m?\nAnswer: 2341","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x - 5*k - 140, x + 4*k = 41. Let p(n) = 5*n - 37. Let h be p(23). Let g = h - 73. What is the greatest common divisor of g and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 606040 and 3488.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y. Let k be -4 + 560\/36 - (-24)\/54. Let d(r) = -k*r - 211*r - 46*r. Calculate d(w(f)).\nAnswer: -269*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3673 + 15769. Suppose 26*g - i = -28*g. Calculate the remainder when g is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(4) + -3*sqrt(24)\/sqrt(6)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 43 + 2*c**2 + 50 - 136 + 52 + 3*c. Let m(u) = -u**2 - u - 4. Calculate -3*b(l) - 7*m(l).\nAnswer: l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/81140 and -57\/56798.\nAnswer: 567980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 - 51*s**2 + 144*s - 30. Determine v(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 11. Let r(w) = -w - 5. Let d be r(-12). Suppose 6 = -6*j + d*j. Solve -z*m - m - j = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.015, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -717*y - 150519. Calculate x(-210).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87860391 to the nearest integer?\nAnswer: 9373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 r, and 2 m when four letters picked without replacement from {d: 2, m: 2, q: 2, r: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 38) + 38 - (39 + 1).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 683 - 689. Put g, -0.5, 3, 1 in descending order.\nAnswer: 3, 1, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f. Let g be 4 + 1 - (-1 - 0). Let d be (-4)\/3*g\/2. Give l(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/14 - 13182\/63882\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*t - 2 + 10, 20 = 4*t - j. Let r be ((-5)\/((-100)\/(-24)))\/(3\/(-5)). Solve 2*v = 3*v - t*x - 13, -r*v - 26 = 5*x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6 - 2*d**2 - d + 3*d**2 - 6*d. Let p be i(8). Let n(z) = -2*z**2 - z**3 + 4*z**p + 5 - 3. Give n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35564463.\nAnswer: 3, 11, 23, 15619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/20 and 119\/760.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -89*z + 11. Let n be f(-2). Suppose -5*o - n = -8*o. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28*(24\/84)\/(11\/(462\/48)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 39570750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 693756.86 + -4?\nAnswer: 693752.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -46*m**2 - 874*m - 16. Calculate s(-19).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 1, 0.3, 7.3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**3 - w + 2*w**2 - 15*w**3 - 4 + 9*w**3 to the form o + s*w + p*w**3 + y*w**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 60 = 5*a, -30 = -0*t - 3*t - 5*a. What is the second derivative of -12*b**3 - t*b**3 - b + 27*b**3 - 7*b**5 wrt b?\nAnswer: -140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k**2 - 9177214*k - 55978463 wrt k?\nAnswer: 2*k - 9177214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w = -23*w - 216. Let o(l) = l**2 + 37*l + 39. Let q be o(w). Solve 5*p - 11 = 2*r - 0*r, 0 = -q*r + 4*p - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 0.6, 0.1, -5, 3\/100?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5038*a**2 + 4957*a - 90. Let q(s) = 5037*s**2 + 4956*s - 60. Let y(x) = 3*q(x) - 2*u(x). Find the second derivative of y(d) wrt d.\nAnswer: 10070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 473.14 and -48 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75790*s**3 - 75791*s**3 - 4*s**2 + 4*s**2.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69204 = -2*r + 20*r - 24*r. What is the greatest common divisor of 146 and r?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3333)\/(-12) + (360\/32)\/(-15) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9925*w**3 + 120*w**2 + 17?\nAnswer: 59550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 - 79. Suppose -5 = 5*h - 3*x - 2*x, -20 = -5*x. Which is the second smallest value? (a) -2\/15 (b) h (c) o (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 2.4 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4183156964?\nAnswer: 2, 7, 19, 251, 31327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.3 - -2.3. Which is the smallest value? (a) 1\/7 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 244 - 330?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z + 42. Let c be k(15). Is (-154)\/((c + 2)*1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -18*p - 7*p**2 + 18*p + 32*p**2. Let i(o) = 2*o. Determine t(i(r)).\nAnswer: 100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 - (10 + -7) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from qqqxxqxqqqqqqx.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 + -65. Let h = j + -33. Suppose -31 - h = -2*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -4. What is the tens digit of (170\/(15\/m))\/(4\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200 - 200220?\nAnswer: -122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/11636 and -19\/14.\nAnswer: 81452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17586 is divided by 409?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 54 = 2*h - 64, -5*h - 3*t = -3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -412 divided by 2.\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/29*(-11 + 50 - 40)*1?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/785 greater than or equal to -7\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18, -21, -34, -63, -114?\n\"Answer: -g**3 + g**2 + g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 19 - 51 = 0. Let s = m - 4. Suppose 0 = 4*p - 5*t - 38, 0 = -s*p - t - 8 + 58. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 433992 to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 + 152 = -35*c. Let w(m) = m**3 + m + 2. Determine w(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 819 = -2*a + 909. Calculate the greatest common factor of 486 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32156 divided by -8039?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 + -133\/2. Let l = 114 - 114.5. Let h = 2.08 - 0.08. Sort h, l, g.\nAnswer: g, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine sixths of a century in months?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**4*g - 10*b**3*g - b**3*s**3 - 5*b**2*g*s**2 - 3*b*s**3 - 2*g*s wrt b.\nAnswer: 24*b*g - 60*g - 6*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -76. Let g = i + 64. Suppose -g = -6*p + 9. Is 0 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, -5, -27, 1\/5.\nAnswer: -27, -5, -0.15, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -1477*u - 7389. Calculate n(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.029 - 0.7310416?\nAnswer: -0.7020416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -141*l - 21. What is the hundreds digit of p(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96432?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12060*j - 4 - 12060*j - j**2 - 27*j**2 + 4.\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(((k\/k**(-5)*k*k)\/k)\/k))\/(((k**(-5)\/k)\/k)\/k))\/(k**(-6)*k**(-4)))**(2\/13) assuming k is positive.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-50)\/6 + -1)*39\/(-26). Suppose -60*g = q - 194. Solve -32*j = -33*j + g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 396.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(128) + -2 + (sqrt(128) - (1*sqrt(128) - sqrt(128))**2)*-1 + sqrt(128).\nAnswer: -1 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l**2 + 259*l + 12. Let k(d) = -2*d**2 + 52*d + 1. Let c(h) = -5*k(h) + s(h). Suppose -4*y - 7 = 13. Determine c(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m**2 - 58*m + 14. Let g be w(14). Let o = g - -4487. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 399833 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 e when three letters picked without replacement from {l: 3, y: 6, c: 2, e: 1, u: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25773912532402280\/234652332453 - -5\/1015810963. Let g = m + -109839. Let w = -2\/21 - g. Which is the closest to 2\/11? (a) -1\/3 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/38, -12, 5, -2, 4\/7 in decreasing order.\nAnswer: 5, 4\/7, 7\/38, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1045, -892, -717, -520, -301?\n\"Answer: 11*c**2 + 120*c - 1176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + -34. Let c(v) = 2*v**2 - 9*v - 10. Let n be c(y). Suppose 15*g - n*g + 30 = 0. Solve -g*a + 0*a = 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1734330097.\nAnswer: 2357, 735821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 773\/(-1546)*(-7)\/((-28)\/(-232))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/2 + (146 - 140)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c**(-2)\/c*c)))\/c)\/c**(-1\/9)*c**1*c*c\/(((c\/(c\/c**(-5)))\/c)\/c) assuming c is positive.\nAnswer: c**(73\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155618 is divided by 1037.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 1:08 AM?\nAnswer: 308","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z + 4*z)*((3*z - 3*z - 2*z)*(-4*z + z + z) + 0*z**2 - 3*z**2 + 2*z**2 - 2*z**2 + 2*z**2 + 2*z**2 + 615214 - 615214 + 4427*z**2).\nAnswer: 17728*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 339?\nAnswer: -2034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16610 and 330?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 9:24 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwwjwwwww. What is prob of sequence wjwj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 3*d - 2*t - 4163, 3*t = -5*d - 20815. Let u = d + 5962. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 1. Let w be j(3). Suppose 0*r - w*r = -16. Let t be (-1)\/(7\/49 + 11\/(-28)). Solve -2*i - u - 3 = -t, -r*u - 14 = 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jin when three letters picked without replacement from {s: 2, j: 6, n: 1, o: 7, i: 1}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/((sqrt(25) + (sqrt(75)\/sqrt(3) - sqrt(25)))\/sqrt(5)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c - 1. Let n(o) be the first derivative of -7*o**2\/2 + 2*o - 1. Suppose 25*y - 26*y = -4*d - 11, -d - 3*y = -7. Calculate d*n(t) - 5*m(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 279911105, 559822207, 839733305, 1119644399?\nAnswer: 1399555489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 136?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -261\/5 - -52. Let b = -0.377 - -0.077. What is the closest to 2\/17 in l, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/((s*s**(-2\/13)*s)\/s))\/s*(s*s**(-6)\/s)\/s)\/((s*s*s**(-1\/2))\/(s*s*s*s**(3\/5)\/s*s)) assuming s is positive.\nAnswer: s**(-617\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a centimeter in micrometers?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 121111201111?\nAnswer: -121111201121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.468 - -0.5. Let d = q - 0.01. What is d rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 55, 58, 59, 58, 55, 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2508\/9*252\/(-168). Is q < -421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75 - -74.43. Let m = d + 0.6. Sort m, -5, -1\/5 in descending order.\nAnswer: m, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 50055\/(-9165) - 14\/26. Let h(q) = 5 - 20*q + 23*q**2 - 7 - 9. Let n(d) = 8*d**2 - 7*d - 4. Calculate l*h(y) + 17*n(y).\nAnswer: -2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 610 + -586. Calculate the smallest common multiple of 69 and z.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 - (0 - 4))\/((-9)\/30). Is 40 a factor of v*3*(-480)\/(-72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 9, 0, 2, -4 in decreasing order.\nAnswer: 9, 3, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**3 + 3*d**2 - 11*d. Let f(q) = -q**3 + q**2 + q. Let n(a) = 4*f(a) + t(a). Let k be n(6). Let u be ((-8)\/k)\/(8\/12). Solve -u*b - 2*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -4.4. Let o = 0.11 - 0.47. Let n = -0.06 - o. What is the nearest to 0.1 in -3, n, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 4 - 6)*(16 + 11 + 6)*(5*y + y - 3*y)*(-4 + 4 + 3*y) to the form n*y + j + a*y**2 and give a.\nAnswer: -4752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 8) to base 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*v - 177*v = 221*v - 471 - 67 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1161020 divided by -290255\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 10:18 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -12*33\/(-2). Suppose 5*u - s = -57. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.66 + -1.16. Sort j, -0.06, 5, 3.\nAnswer: j, -0.06, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1 + 2*l**3 + 7 + 0 - 2*l**2 + 6 - 12*l. Let t be v(9). Round t to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100 - 1001?\nAnswer: -101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbz when four letters picked without replacement from {z: 3, b: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -23*f + 125. Let i be r(5). Suppose 6*b - i*b + y = -4298, 2154 = 2*b - 3*y. What are the prime factors of b?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drrddrrrdddrrrrddddr. What is prob of picking 1 d and 2 r?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5258 is divided by 396.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2430368, -9721489, -21873364, -38885999, -60759400, -87493573?\n\"Answer: -h**3 - 2430371*h**2 - h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346473?\nAnswer: 3, 137, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16107412 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 299 - 298.5. Which is the nearest to -0.1? (a) 1\/751 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -251*w + 41 - 292 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 9 + 20*c**2 - 45*c**2 + 17*c**2. Calculate j(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79182200 rounded to the nearest one hundred thousand?\nAnswer: -79200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 4*b + 3 + 0 + 2 to i*b + z and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -131141 + -11?\nAnswer: -131152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 16 - 6 = 0. Let w = s - -14. Sort -5, 0.2, w.\nAnswer: -5, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -26\/5 (b) -0.1 (c) 0.77 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/14124 and -17\/19503.\nAnswer: 8347284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.09 - -1.\nAnswer: 2.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 608352 divided by 6.\nAnswer: 101392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 2704?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -164 - -169. Let g(f) = -6*f**3 + 2 + 13*f + 8*f**3 - 1 - 17*f**2. Let l(w) = 3*w**3 - 26*w**2 + 20*w + 2. Let i(z) = -8*g(z) + 5*l(z). Calculate i(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7*x - 12. Let z(m) = 18*m - 30. Let v(o) = 12*t(o) - 5*z(o). Let b be v(-23). What is the highest common divisor of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2. Let y be h(0). Let c = -5\/22 + 133\/198. Which is smaller: y or c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3715*0.3.\nAnswer: -1114.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + 0 + -3 + 3. Which is the nearest to 0.1? (a) -5 (b) g (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j + 13*j**3 + 3*j + 8*j wrt j?\nAnswer: 78*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k + 1. What is h(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -2 (b) 8 (c) -0.02 (d) 2\/5 (e) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 0*g + 7 + 1\/3*g**3 - 5\/24*g**4 + 1\/30*g**5 + 5\/2*g**2. Let i(r) be the second derivative of u(r). Solve i(o) = 0.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 180*z**3 + 328.\nAnswer: 540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*u + 16 = 0, 0 = -1629*l + 1627*l + 3*u - 26. Let v(q) = -q - 19. Let z be v(-8). Is l greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**2 - 36*h - 80 = 0.\nAnswer: -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10944)\/(-112) - 6\/(-21). Solve 20*u - c - 42 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*-39*(-3)\/117?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1115 - (11 - (-4 - -4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**2 - 1955*v - 1960 = 0.\nAnswer: -1, 392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-776)\/(-196) - 2. Let z(o) = -o**3 - o**2 + 4*o - 5. Let g be z(-3). Is y greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k + 25 = 17*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 104207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 7 - (0 + 2). Suppose 4*x - 16 = -0*x. Let r = -1 + x. Solve 4*f + 5*v - j = 0, -29 = 3*f - 5*v + r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 4 = 2*s, 1931 = 3*x - 2*s + 1930 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -16, 60, 164?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56 and -0.524157.\nAnswer: -29.352792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3175077\/10022870 - (-1)\/(-110).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t\/((t*t**(1\/4))\/t))\/t)**34)**(-25))**26)**17 assuming t is positive.\nAnswer: t**93925","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3\/3 + 10*z**2\/3 - 25*z.\nAnswer: 5*z*(z - 3)*(z + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 14.33853 micrometers?\nAnswer: 0.001433853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.808 + 1.708. Which is the nearest to k? (a) 1\/57 (b) -0.5 (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1871228 is divided by 565?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25910 and 1880.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7082964 (base 10) in base 7?\nAnswer: 114130020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 41541860 to the nearest 10000.\nAnswer: 41540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37352 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 6 = 4*a. Let c be -7*(24\/21 - a). Let n(f) = 2*f. What is the tens digit of n(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*c - 65, 3*j - 5 - 28 = -3*c. Let b be (-2)\/c - (-92)\/7. Solve 3*r - 10 = -4*h, r + 1 = 3*h - b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 23. Find the third derivative of 15*c**2 - r*c**5 + 8*c**5 - 5*c**5 + 12*c**6 wrt c.\nAnswer: 1440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 116 = -4*j, 3*j - 2*l - 13 = 51. Is j a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54695*1.\nAnswer: 54695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000474947 rounded to seven dps?\nAnswer: -0.0000475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/8)*c\/c**(1\/4)*(c*c**(2\/21)\/c)\/c**(-3\/4) assuming c is positive.\nAnswer: c**(289\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 1. Suppose 6*r + 47 = 29. Calculate i(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16454.543 - 16466.433609. Let g = r + 11.89. What is g rounded to five dps?\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 3 - sqrt(2)) + 5 + (sqrt(18) - (-4 + sqrt(18))))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 13*v - 32. Let l be o(-4). Suppose 33*u = 37*u - l. Solve 0 = 4*j - u + 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.57358l to millilitres.\nAnswer: 88573.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 629569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxx when three letters picked without replacement from xjxxxxxxxxxx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -79588, 3, 28 in decreasing order.\nAnswer: 28, 3, -1, -79588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 + 4*j**2 - 132*j**3 + 112083*j - 112087*j to m*j**3 + s + o*j**2 + g*j and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 237 and 10112.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*x + 254 = 0, -4*x - 24 = -4*b + 972. Let f = b - 9748\/39. Let i = 23\/312 + f. Sort -1\/6, i, 0 in increasing order.\nAnswer: -1\/6, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 67007571 and 312957.\nAnswer: 603068139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.34 + -1.76. What is w rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.103 - -0.052. Let y = -1091 + 1090.9537. Let g = x - y. Round g to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3085*t - 11*t**2 - 13101*t**4 + 2*t**3 + 11*t**2 + 10383*t**4 wrt t.\nAnswer: -32616*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16 - 7 - (-9 - (0 - 4)). What is the second derivative of -3*n**2 + 169*n + 53*n**2 - r*n**2 - 9*n**2 wrt n?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -26.4. Sort -0.2, i, -1\/2.\nAnswer: -1\/2, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5)\/r)\/r)**(-34)\/(r**(-1\/8))**34 assuming r is positive.\nAnswer: r**(969\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 5*g + 4*g)*(2 + 1 + 0) + 12*g + 9*g - 24*g.\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 > 518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -2*c**3\/3 + 2. Let g(z) = -429*z - 363. Let y(f) = 67*f + 55. Let m(p) = -5*g(p) - 33*y(p). Calculate m(u(d)).\nAnswer: 132*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.87 * 6847.\nAnswer: 12803.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 598711600 rounded to the nearest 100000?\nAnswer: 598700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16901\/8 + 2105. What is the common denominator of g and -29\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 11:13 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-2 + 21) - (4 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*s - 2*m + 6, -5*s - 4*m + 44 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 11:52 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 255319*a**3 + 444892 wrt a.\nAnswer: 765957*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 + (32 - 72) - 54?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*x - 5 = t, 2*t - 4*x + 2 = 0. Suppose v = 5*a - 746, v + 0*v - 454 = -t*a. Suppose -a - 35 = -5*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 1. Let c(p) = 5*p + 5. Let w(z) = 10*z + 10. Let q(y) = 10*c(y) - 4*w(y). Let x(n) = q(n) + 6*r(n). What is the tens digit of x(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 3:46 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 0. Let q = b - 10. What is the nearest to 1\/2 in q, 2\/11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 441289, 441275, 441261, 441247, 441233, 441219?\n\"Answer: -14*m + 441303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1028?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1010 and 210.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 n, and 1 z when three letters picked without replacement from nhhnhxxnhmzznz.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4695283 millennia in centuries?\nAnswer: 4.695283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 16 - x)*(11*x**2 + 8*x**2 - 6*x**2).\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-1))\/(v\/(v*v**9*v*v)))\/(v**3*v\/v**(-7)))**(-15) assuming v is positive.\nAnswer: v**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**4\/90 + 4*h**2\/15 + 5*h. Factor r(q).\nAnswer: -2*(q - 2)*(q + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/2)\/1)\/(9\/(-30))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 10. Sort -9, u, -3 in decreasing order.\nAnswer: u, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msoikskuook. What is prob of sequence mo?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - -83 - (74 - -25)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -149\/51 - 24\/17. Let q = n - -6. Which is greater: 2 or q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 - 0.5. Let l = -17 - -9. Let u = 8 + l. Which is the nearest to 0.1? (a) q (b) -0.3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459 <= 1442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.25329 - -0.14671. Which is the closest to -2\/11? (a) y (b) -0.21 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 42*p + 360. Let z be m(12). Solve i + 3*k + 16 = z, 13*i - 5*k = 12*i + 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - v - 11 = 0, -4*o - 5 = -4*v - 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010000111001010111 + -1000100?\nAnswer: 100010000111000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 0.08 (c) 0.082 (d) -2\/7 (e) 0.426\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22171, -22172, -22173, -22174, -22175?\nAnswer: -22176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 3*w**4\/32 - 11*w**3\/4 + 309*w**2\/16 + 189*w\/4 - 2880. Let s(a) = 0. What is a?\nAnswer: -1, 9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -k + 5, 3*f - 4*k = -f - 20. Suppose f*c - 4*c = 108. What is the least common multiple of (8\/(-6))\/(3\/c) and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/25*(-4)\/(8\/(-5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10470*r = -179133 + 54513 - 357000 for r.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**2 + 3*r**3 + 0*r - 5\/8*r**4 + 0 + 1\/20*r**5. What is p in q(p) = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n - 14*n - 15*n + 57*n - 15*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -10\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 25, 54, 115, 220, 381, 610, 919?\nAnswer: 1320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 259. Let h(g) = g**2. What is z(h(f))?\nAnswer: -f**2 - 259","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6888 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 6577 (b) 0.1 (c) 2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from ooaojojaoofooo?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(252) + -1)**2 + 0 + (sqrt(252)*-1 + 2 + sqrt(252) + -3)**2)*2.\nAnswer: -24*sqrt(7) + 508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 - 120 = -4*k. Suppose -i - 3*i + k = 0. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjftnjf. Give prob of sequence nf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 844963000 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -4, -2, -16872\/11?\nAnswer: -16872\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 9*l**2 - 11*l - 2. Let m(r) be the third derivative of -r**5\/12 + r**4\/4 + r**3\/6 - 7*r**2. Let x be 56\/(-16)*24\/(-21). What is x*z(o) + 7*m(o)?\nAnswer: o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2005\/322 + 3\/23. Find the common denominator of 3325\/(-1200) - (-13)\/3 and b.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.6713 - 5126.77\nAnswer: -5114.0987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 909337.9us in milliseconds?\nAnswer: 909.3379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 136*s + 2453. Let i be m(-84). Is i at least -1910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -1\/60*a**6 + 0*a + 17\/3*a**3 + 0*a**4 - 7\/15*a**5 + 0 - 139*a**2. Find the first derivative of z(q) wrt q.\nAnswer: -6*q**2 - 56*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 46\/5 of a gram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d - 845 - 1206. Let f = -243 - d. Calculate the greatest common divisor of f and 400.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 w when three letters picked without replacement from gywwgwygywggw.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m. Let o(n) be the third derivative of -n**5\/10 - 8*n**2. Determine h(o(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 733085?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3427411 and 52?\nAnswer: 13709644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1173 or 1174?\nAnswer: 1173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 3:29 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1332 and 131491.\nAnswer: -175146012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82392*f**6 + 670*f**2 - 84*f.\nAnswer: -9887040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 55.5, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-4)*10\/(-315)*3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107*y**2 - 19*y**6 + 14*y**6 + 6*y**6 + 9*y**6 wrt y.\nAnswer: 1200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, t: 6, n: 2, p: 5, e: 1}. Give prob of picking 2 i.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 303921 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -11*q**2 - 3*q + 11. Suppose m - z + 1 = -0*m, -3*z = 5*m - 3. Let i(o) = 4*o**2 + m + 0*o**2 + o - 1 - 3. What is 6*f(b) + 17*i(b)?\nAnswer: 2*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/84*42*(-12)\/24.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcbc when four letters picked without replacement from {c: 4, v: 7, b: 4, g: 1, o: 1, h: 2}.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196 by 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -225427 - -143427. Round h to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33716?\nAnswer: 2, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 428471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -2*l + l - 7, -1 = l - 2*y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 122 and 8357?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4879414130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -448136 - -448136.899948. Let f = -0.9 + o. Round f to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 6*p**2 - 7*p + 10. Let s be w(5). What is the third derivative of 7*t**2 - 24*t**2 + s*t + 2*t - 3*t - 8*t**6 wrt t?\nAnswer: -960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvv when three letters picked without replacement from mjsmmyvsvsv.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffnfi. What is prob of sequence fn?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 55*o + 387. Let v be f(-7). Let x(b) be the second derivative of 3*b**v + 0 - 1\/6*b**4 - 2\/3*b**3 - 17*b. Factor x(z).\nAnswer: -2*(z - 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 10*r - 5. Let g be x(8). Let l = -19 + g. Let p be (l\/84)\/(2\/6). What is the closest to 1 in p, -2\/5, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, 1, -0.3, -4\/161 in increasing order.\nAnswer: -106, -0.3, -4\/161, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 3*z**2 + z. Give s(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6714*g = -1258*g + 438460 for g.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 141.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**3\/3 - 7*q**2\/2 - 9*q - 3. Let p be f(8). Let y = p + 8. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/11, 4.\nAnswer: -2\/11, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**2 - 3. Let x = 18 + -12. Suppose 2*r = x*r + 16. Let f(j) = -5*j**2 + 4. Let s(g) = r*p(g) - 3*f(g). Let d(l) = -l**2. Give d(s(h)).\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 127 + -73. Suppose 5*v = 3*o + 106, -2*v = v + 3*o - f. Suppose 2*m + 2*h - 12 = 6*h, -v = -m - 5*h. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, g: 14}. What is prob of sequence ggl?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 41. Let f be (-48 - -49)\/(2*2\/r). Solve b - 4 - 4 = q, -f*q = 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - -15. Suppose 20*l - q*l = -70. Suppose 2*m + u = 4*m - 9, m - 2*u - 6 = 0. Calculate the smallest common multiple of l and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17390 is divided by 5772?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h. Let w(o) be the second derivative of o**7\/180 - 15*o**4\/2 + 39*o + 1. Let l(x) be the third derivative of w(x). Give q(l(k)).\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 115731 and 99198.\nAnswer: 694386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27843686 - -2822.9?\nAnswer: 27846508.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -95 + 95 + 5*j**2 + 52*j**2 + 43 - 43 + j**2 - j + j + (-1 + 1 - j)*(-j + 0 + 0) as c + a*j**2 + k*j and give a.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*t**4 - 9402*t**3 - 4*t**2 + 9402*t**3 + (-1 - 1 + 5)*(-5*t**4 + 0*t**3 + 0*t**3) as w*t**3 + a*t + j + o*t**2 + y*t**4 and give y.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6\/11))**10 assuming o is positive.\nAnswer: o**(-60\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 6*j - 5*j)*(-45 + 60*j - 5*j + 42).\nAnswer: -495*j**2 + 27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6631029 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: Let y = -453 - -457. Solve -y*h + 2*n + 4 = 18, 0 = 5*n - 25 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6889328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 9*m + 7. Calculate d(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495 - 11212 = -7*i. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3968470 is divided by 396790.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01079 take away 19759966?\nAnswer: -19759965.98921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1477 is divided by 172?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, -13, -26?\n\"Answer: -13*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 41. Solve -2*z + 5 = -j, 5*z + 5*j + o = -23 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 9:19 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/81*(-15)\/10. Put b, 0.1, -0.5, -3 in descending order.\nAnswer: b, 0.1, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-9) + 1 + 0)*1179. Suppose 30*u - 27*u = l. Suppose u + 198 = 4*z + 4*y, 0 = -3*z - 4*y + 344. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4525975463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35866935*j**3 + 9867827*j**2 wrt j?\nAnswer: 215201610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 - v - 2. Let l(t) = -t**3 - t**2 + 1. Let n be l(1). Let p be y(n). What is the lowest common multiple of ((-2)\/5)\/(p\/150) and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 32, 0.2, -2, 0.\nAnswer: -2, -0.4, 0, 0.2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7842*j**2*n*r + 11*j**2*r - 5*j*n + n*r - 84411*n - 24 with respect to j.\nAnswer: 15684*j*n*r + 22*j*r - 5*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 9:34 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1086*g - 407*g + 31143 = -4689 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 + 3*g + 4*g + 252*g**3 - 1 + 4*g**4 - 7*g to n*g**4 + z + o*g**2 + v*g + u*g**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 835*y - 2081. What are the prime factors of s(10)?\nAnswer: 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {y: 3, g: 7}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -2. Factor -5*q**j + 4 + 2*q + 8*q**3 - 8*q - q**3.\nAnswer: 2*(q - 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -166*w**2\/5 + 838*w\/5 - 8.\nAnswer: -2*(w - 5)*(83*w - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t + 4 = z + 27*t, -8 = -2*z + t. Which is the closest to -2? (a) 16 (b) z (c) 89 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4.7, -0.2, -2\/13 in descending order.\nAnswer: 6, 4.7, -2\/13, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 62304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + k = -232679997, 63*k - 65*k - 58169994 = g. Round g to the nearest 1000000.\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 0, 85, -5 in descending order.\nAnswer: 85, 5, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**4\/12 - 99*x**2. Let f(i) = 2*i. Give 6*f(u) + 7*y(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -284 - -304. Is 1*409\/(4\/o - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 2666768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*q - 4*q - 2360. Suppose r - 3 = 0, 4*p = 2*r + q + 34. Calculate the remainder when p is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -804 + 849. Solve 0 = -4*k - 4*p, 6*k - 2*k = 5*p - i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*h - 12 + 30 = 0, h = -3*n + 10. Suppose -n*p = 5*i - 136, 2*p - 147 = 3*i - 27. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.4 + 5.623. Round f to 2 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -1\/15*j**5 + 34*j**2 + 0*j + 0 + 0*j**3 - 1\/2*j**4. Factor q(n).\nAnswer: -4*n*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 42*k**2 - k - 2. List the prime factors of w(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 20 = 2*h + 6, -238 = -34*h + 6*c - 4*c for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1272 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6*1\/4)\/((-9)\/(-18)). Solve -5*h - 6 = 2*a, -6*a - 3*h + t = -7*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4))**(-2\/25))**(-13)*((f\/(f**(-1)\/f*f))**(-1))**(-2\/103) assuming f is positive.\nAnswer: f**(-1139\/5150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9008, -27471, -58248, -101345, -156768?\nAnswer: -224523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 92527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -2\/3, -5\/6, -0.42 in increasing order.\nAnswer: -5\/6, -2\/3, -0.42, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 711216 by 2.\nAnswer: 355608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*q + 6, 0*t = -q - 5*t - 19. Suppose -1 = -g + q. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 8*n**2 - n + 10. Let c be r(8). Suppose c*x = 10, 5*p = -2*x + 51 - 11. Calculate the lowest common multiple of p and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 899027 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -8. Suppose -z + 0*z = q. Let g(a) = 1 - 4*a - 3 - a**2 + 1. What is g(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216, -875, -1976, -3519, -5504?\nAnswer: -7931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12455355833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 + 38. What is the greatest common factor of 15 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 40. Let m = l - -27. Suppose m*o = -4*z + 173, -3*z - z + 4*o = -128. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-1\/49)*z)\/(z*z\/z**(-15)) assuming z is positive.\nAnswer: z**(-687\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/6 - 5206\/4. Let l = 15599\/12 + b. Let q = 7\/3 + l. What is the third smallest value in q, -1, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113881491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 1888*w + 215682.\nAnswer: -2*(w - 103)*(w + 1047)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*a + 55 = 3*b - 159*a, -a = -5*b + 33 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -556, -584, -630, -706, -824, -996, -1234, -1550?\n\"Answer: -2*u**3 + 3*u**2 - 23*u - 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 10607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83*m**5 + m**4*n**2 + m*n**2 + 20*m*n - 32 wrt m?\nAnswer: 1660*m**3 + 12*m**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24652705 - -2.\nAnswer: -24652703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 593*-1562329.\nAnswer: -926461097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1684000 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2228, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10377518?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 279516, 559210, 839214, 1119684, 1400776, 1682646?\nAnswer: 1965450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**4\/5 + 26*j**3\/5 + 56*j**2\/5 = 0.\nAnswer: -2, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 302*w**3 + 878*w**3 - 287*w**3 - 290*w**3.\nAnswer: -w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12299\/178 + -69. Let j = 11405\/1068 - l. Find the common denominator of (16\/(-280))\/(4\/225) and j.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Let i = p - 1.6. Let f = 0.3 - i. Which is the nearest to f? (a) 2\/21 (b) 1 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 703 + -707.008. Let j = -4 - p. What is j rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*p + 18, -3*q + q = -p + 6. Let w be (q\/(-6))\/(222\/(-24)). Let l = -325\/444 + w. What is the second biggest value in l, -0.4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((sqrt(343) - (sqrt(343) + 0 + -5))*2)**2 + (sqrt(343) + 0 - sqrt(343)) + 3 + -1*(1 + sqrt(343))**2) + 4)*-5.\nAnswer: 70*sqrt(7) + 1185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 + 4*r**2 - 12*r + 10. Let g be d(1). Solve -2*u - g = 3*h - 9, 5*h + 2*u = 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -737 and -0.02010611.\nAnswer: -737.02010611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/59 - -124\/177. Let w = 3 + -3. What is the closest to w in f, -1\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z = -2, 3*r = 2*z - 229. Let j be (-8)\/3*r\/(-5). Let w = -9 - j. Calculate the remainder when w is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148258?\nAnswer: 2, 11, 23, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 - 17972 + 17972.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o - 32*o - 2*l - 2 = 0, 3*l - 12 = 0. Factor 0 + 56\/3*j**o + 58\/3*j - 2\/3*j**3.\nAnswer: -2*j*(j - 29)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 6. Let x(t) = -2*t**2. Let n(i) = 1 + 2*i**2 - i**2 + 91*i - 92*i. What is v*x(k) + 2*n(k)?\nAnswer: -2*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 2\/21, 0.4, -210?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*s + 67605 - 66903 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*c - 2702 = 0, c + 2597 + 4202 = -5*u. Let v = 1362 + u. Let 3\/2*h**3 + v*h**2 - 12 - 6*h = 0. Calculate h.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**2 - 2. Let i(m) = m + 8. Let c be i(-2). Let t(p) = -2*p**2 + 1. Let j(y) = c*t(y) + 3*g(y). Let z(q) = 7*q. Calculate j(z(d)).\nAnswer: 147*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = d - 7. Let b(a) = -16*a**3 + a. List the prime factors of b(d).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0066 + 0.9934. Sort -5, 1763, f.\nAnswer: -5, f, 1763","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 2*v - v + 0*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 334295587?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 418.8 + -372. Let p = -47 + n. Which is the third biggest value? (a) -0.01 (b) p (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**5 + 220*x**4 + 2365*x**3 - 3190*x**2 - 54120*x + 54720 = 0. What is x?\nAnswer: -24, -19, -6, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1636, 1642, 1640, 1630?\n\"Answer: -4*x**2 + 18*x + 1622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 7*t + 8. Let h be c(-6). Suppose -h*d + 81 - 21 = 0. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18937*-2.\nAnswer: 37874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-42) + 236\/(-24) + -5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 11*i + 3. Let n(x) = -5*x + 68. Let u be n(14). Let g be u\/10*-5 + 2 + -5. What is y(g)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11123993.267 - 5713538344.267. Let t = o + 5702414258.99999826. Let z = t - -92. What is z rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(-3*sqrt(175)))**2.\nAnswer: 13\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16037, -16035, -16045, -16079, -16149, -16267, -16445, -16695?\nAnswer: -17029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s**(-1\/13)\/s)))\/(s**(-3\/7)*s)*s*s\/(s\/(((s\/(s*s**(-1\/5)\/s)*s*s)\/s)\/s))*s*s**2 assuming s is positive.\nAnswer: s**(2071\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*a - 63*a + 20 = 0, -3*a + 53752 = 2*p. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -122833 + 187186. What are the prime factors of u?\nAnswer: 3, 19, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a8 (base 14) in base 8?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/48 and 2 + 0 - (5 - (-580)\/(-192))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11360 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**4\/12 - 7*b**3\/3 - 25*b**2\/2 + 10*b. What is the lowest common multiple of u(-11) and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.75531 to one decimal place.\nAnswer: -23.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*c + 606*c - 6663 = 3972 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.4 + 16. Let c be (-258)\/430 - ((-2)\/(-20))\/(-1). What is the closest to -1 in c, h, 0.41?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112344439 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249 + 29 - (-521 + 412).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 950.8221 hours in days?\nAnswer: 39.6175875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2581212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -238, -369, -500?\n\"Answer: -131*j - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -6 - 7) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27192 or -27194?\nAnswer: -27192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204983490 divided by 4.\nAnswer: 102491745\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 3) in base 16?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -312, -605, -870, -1095, -1268, -1377, -1410?\nAnswer: -1355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(612) - (sqrt(612) - (-3 + -2*sqrt(612)))) + 1)*1)**2.\nAnswer: 240*sqrt(17) + 9817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 57 = 3*t, -4*t - x = -67 - 2. Suppose -3*p + t = 3*v, -3*p + 15 = 2*v - 0*p. Suppose v*l + 720 = 6*l. Is l a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.64678 rounded to zero decimal places?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 6*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27917755\/153 - -182468. Let q = -13\/17 - u. Let 0*s - q*s**3 + 0 + 4\/9*s**4 - 2\/9*s**5 + 0*s**2 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1139\/30 - -104\/5. Let t = 704 + -12661\/18. Find the common denominator of t and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 344866839 to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 x, and 1 c when four letters picked without replacement from xbfbcxccbx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u**3 - 2*u**2 - 11*u - 19. List the prime factors of z(5).\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87228 = 4*o + 273920. List the prime factors of (-1 + -1 - -1)*o\/47.\nAnswer: 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.43843ms to minutes.\nAnswer: 0.0000906405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190 by 190.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + -6. What is the least common multiple of 2\/((-80)\/x - 2) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1225*c**2*f**2 + 106345*c**2*f*z - c**2 - 5*c*z + 920*f**2*z wrt f.\nAnswer: -2450*c**2 + 1840*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4493 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 12*l - 14. Suppose -l*q + 162 + 13 = 0. Suppose 5*k - 4*k = 3*j - 10, -5*j = -q. Solve 8*a = k*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 3520?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -5. Let g(y) = 2*y - 10. Let f be g(18). Let r = f - b. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 848540 rounded to the nearest 10000?\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*v**5 + 2*v**4 - v**3*y - 27*v**2 + 2*y wrt v?\nAnswer: 240*v**2 + 48*v - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a minute in seconds?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55656 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**2\/9 - 95*v\/9 - 194\/9 = 0.\nAnswer: -2, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r**2. Let x(i) = -6*i**2. Give v(x(f)).\nAnswer: 252*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z**4 + 3*z**3 + 29*z**2 - 5052*z wrt z?\nAnswer: 24*z**2 + 18*z + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -31. Let f = o + 11. Suppose 2*c - f = 32. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 382 + 0.006\nAnswer: 382.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(1 + -3) - (-2 + 1). List the prime factors of 0 - (d - 3) - -7.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(114) - -2*sqrt(114) - sqrt(114)) + sqrt(114))\/sqrt(6))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -2, 3, -0.01, -34, 0.5, -6.8?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 17*v - 36. Suppose -5*c + v*y = -28, 4*c = 2*y - y + 21. Solve w - 6 - 1 = 4*u, c*u - 4*w = -17 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1641?\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 1236?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = t + 3*t + 5*q, -3*q = -15. Solve t*f = 4, -h = -f + 1 + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0 = 2. Suppose 5*v - 35 = -h - 2, 4*h + 36 = 4*v. Suppose -v = -5*c - 17. What is the third biggest value in 2\/7, f, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((w**2 - 2 + 2)*(-5 + 5 - 4*w) + (3*w + 3*w - 4*w)*(43*w**2 - 49*w**2 - 36*w**2))*(-4 - 2 + 4).\nAnswer: 176*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*(m*(m*m**5)\/m)\/m))\/m)**(-31))**(-2\/7) assuming m is positive.\nAnswer: m**(-372\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 478.5 and 0.01194.\nAnswer: 5.71329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -261977 * -14\nAnswer: 3667678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 15*t + 16. Let q be a(11). Let l = 56 + q. Calculate the highest common divisor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -178547785 + 178547779.99999996. Let g = -6 - -1. Let t = h - g. Round t to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 5:49 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000026617666 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*i - 24 = 0, 0 = -2*k - 3*k - 5*i - 80. Let q = k - -11. Sort 3, 2, q in descending order.\nAnswer: 3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8*o + 197. Let k be p(24). Calculate the greatest common factor of k and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28424749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.3, 1\/3, 9\/26, -13, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89258*v**2 + 836*v + 11.\nAnswer: 178516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -142\/3*y**2 - 25 - 197\/3*y + 2*y**3 + 25\/3*y**4 - 1\/3*y**5.\nAnswer: -(y - 25)*(y - 3)*(y + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 5*b - 5, -4*b + 32 = 6*t - 3*t. Solve -g = -q - 4, 0 = -t*q + 6*g - g - 21 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2511 by 3.\nAnswer: -837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*i - 937 = 189*i - 77 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69016 is divided by 69006?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 4*i. Suppose 0 = b - 4*s - 22, b - 5*s = -2*b + 38. Let d = 20306 - 20303. Solve i = p - d*p - b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 434741 and 130968?\nAnswer: 1819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 7*p - 6. Calculate j(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -249, -3826, -4, 4 in decreasing order.\nAnswer: 4, -4, -249, -3826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*s + g = 39*s + 14209, -s + 3*g = -3536. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-3)*1*(-12)\/8. Suppose -3*g + 1208 = 2*p, 3*p = -p - r. Suppose -g = -5*q - 69. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2365831 divided by 169?\nAnswer: 13999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3))**35)**(-3\/4) assuming h is positive.\nAnswer: h**(315\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(2 - 9\/6). Let c be 0*z\/9 + 3. Suppose 2*w - 10 = -3*w. Which is greater: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.27646 micrograms to milligrams.\nAnswer: 0.00627646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 9*j**2. Let t(d) = -186*d + 9. Let p(f) = -542*f + 24. Let c(q) = 4*p(q) - 11*t(q). What is k(c(l))?\nAnswer: 133956*l**2 + 6588*l + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -4, -120\/17, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(6\/23)*l\/l**(-15))**(1\/10) assuming l is positive.\nAnswer: l**(187\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 432, 837, 1250, 1671, 2100, 2537?\nAnswer: 2982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.7 and -1133719.\nAnswer: 1927322.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 613727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.0512052287418527 - 0.5\nAnswer: -0.4487947712581473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 45 - -4298?\nAnswer: 4332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + -4 - sqrt(11))**2 + 2*-4*sqrt(11).\nAnswer: -56*sqrt(11) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 + -1.3. Let k = j - -1. Which is smaller: k or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/20*5)\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 + 63 = -7*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26665 = -95*g - 8615. Calculate the highest common divisor of 646 and g.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 (base 8) in base 11?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(d**3 + 2*d**3 + d**3) + (-2*d + 2*d - d)*(5*d**2 - 2*d**2 - d**2).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q - 1560639 = 0. Let a = -6320213 - q. What is a rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4528 divided by 2264.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -16*q**3 + 2*q**2 + 4*q + 1. Let w be o(-1). Suppose -575 = -14*a + w*a. Let z = -361 - a. What are the prime factors of z?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17955 and 264670.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113 - 115. Sort 4, 5, -1, l.\nAnswer: l, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/4 - 33806034*j - 380949311603052.\nAnswer: -3*(j + 22537356)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.96 - 284651.\nAnswer: -284654.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = -4*t + 2*q + 392, -5*t - 2*q = -490. Calculate the greatest common divisor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + -2 - (-2 - -5). Suppose -6*j = -4*j - 8, 3*n - h*j - 1258 = 0. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*2 - 74\/37. Let b(u) = 2*u**3 + u**2 - 3*u + 2. Let v be b(2). Suppose v*z - 20*z = -s. Calculate the highest common divisor of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 10:11 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*k + 4260, 4*j = -4*k - 5554 + 2134. Let y = j + 1551. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -269 or -276?\nAnswer: -269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*3\/(-6) - -1. Suppose 0*l + p = -v*l + 53, -l + 23 = -3*p. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2301*t - 16094. Give d(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*o - 8*o, -5*k - 2*o = -30. Let c(v) = -3*v + 14. Calculate the lowest common multiple of 6 and c(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -41 + 29 + -9?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(95) - sqrt(95)*2)*5 - 4*1*sqrt(95))\/(sqrt(125)*6 - (sqrt(245) + (sqrt(245) - 3*sqrt(245)) - sqrt(5))).\nAnswer: -9*sqrt(19)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1024) - 5*sqrt(1024)))\/(sqrt(392) + -6*sqrt(392)*5 + sqrt(392) + sqrt(392) + sqrt(392)).\nAnswer: 80*sqrt(2)\/91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - (-5 - 3)\/(-2). Let l be (2 - r)\/(-5 + 4). Put -6, l, 1 in decreasing order.\nAnswer: 1, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + 1 + (sqrt(171)*-1 + sqrt(171) + sqrt(171) + 5)*6)*3)**2.\nAnswer: 291600*sqrt(19) + 1676700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100238120 or 100238119?\nAnswer: 100238119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00669 to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7946*g**2 - 2*g**3 + 15856*g**2 - 4*g - 7910*g**2 + 4*g.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 741 + -740.9. Let b be (-3)\/(-5)*15\/3. Put w, -6\/11, b, 2\/19 in increasing order.\nAnswer: -6\/11, w, 2\/19, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 + 5051*n**3 - 6247399*n**2 - 331887651*n.\nAnswer: -n*(n - 2551)**2*(n + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600794 is divided by 84.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-176)\/(-192)*-6)\/(3\/(-6))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2370 and 2370?\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 405 and 120.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 7. Suppose -s*c - 48 = -8*c. What is the second derivative of 16*h**2 - 2*h - c*h**2 + h wrt h?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 3*l + 9513, 28*a - 29*a - 3*l = -3169. Does 37 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.92935717 to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 7) in base 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 5*b**2 - 14*b - 4. Determine d(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**4\/4 + 11178*z**3 - 1047555*z**2\/2 + 1014024*z - 2005695\/4 = 0.\nAnswer: 1, 45, 14857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u + 2*a + 54, -u - 5*a = -9. Does 35 divide (266\/8)\/(u\/(-320))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 44 = -4*r + 269, r - 51 = -3*q. Find the common denominator of -19\/14 and 478\/r - 6\/9.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 877445 to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*(-12)\/81*-3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548538 is divided by 182794.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 0 + 1\/60*q**5 + 1\/48*q**6 + 0*q**4 + 0*q**3 + 3*q**2 + 0*q. Factor r(o).\nAnswer: o**2*(5*o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 7*d + 5*k - 6016, 0 = 4*d - k + 8010. Let z be 36\/9 + (d + -1)*-2. What is z rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4442588938 to the nearest integer?\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**2*v*y**2 - k**2*v + 40*k**2*y**3 + v*y**3 + 3*y**2 - 2 wrt y?\nAnswer: 240*k**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/(x*x\/(x\/x**(-8))))\/x))\/x**6)\/(x\/((x\/x**0)\/x)*x)**(-45) assuming x is positive.\nAnswer: x**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*u + 8 = 119*u, -u + 2*u = 4*b - 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2049662226.\nAnswer: 2, 3, 341610371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q = -x - 214, -3*x - 318 = 3*q. Let d = -104 - q. Solve -d*r = -6*r - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + 18. What is the remainder when r is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2715236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 33 + 81 = 0. Let s = y - -63. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2154011 (base 6) to base 15\nAnswer: 221e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.099530079 rounded to five dps?\nAnswer: -0.09953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/3 (b) -262951 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raar when four letters picked without replacement from raaaaadddrddaadddd?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 6. Let z be y(8). Let l = 6 + z. What is the highest common divisor of 8 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u\/(u*(u\/(u*(u\/(u**(-2\/35)\/u))\/u)*u)\/u))\/u)*u*u*u*u**(-22)*(u*u**(-2\/7))\/u**(-26) assuming u is positive.\nAnswer: u**(303\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1008)*-1 + -5 + 4 + -4*(sqrt(1008) + (sqrt(1008) - (-5 + 0 + sqrt(1008) + sqrt(1008)))))*4)**2.\nAnswer: 7776*sqrt(7) + 22689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/555 and (0 + 44\/1110)\/(((-208)\/24)\/(-26))?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -98 + -1.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6537069796\/147159 - 600\/16351. Let o = i + -44348. Let t = o + -74. Is 1 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 2*l - 6, 3*r - l + 12 = 2*l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8794 <= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2249203279\/2609 - -862094. Find the common denominator of -3\/2 and r.\nAnswer: 5218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -137 or -4?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100120 + -111?\nAnswer: -101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 9\/2*l**2 + 7 + 0*l. What is the tens digit of x(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4\/5 - 116*p**3\/5 + 24*p**2\/5 + 272*p - 1856\/5 = 0. Calculate p.\nAnswer: -58, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -526 - -963. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -28\/11*u**3 - 1\/66*u**4 - 22*u - 2 - 1764\/11*u**2. Factor g(z).\nAnswer: -2*(z + 42)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92090 - 90874 + 182964 + 2*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + 5ae4c?\nAnswer: 5ae58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*5)**2 - ((-2 + sqrt(11) + 2)**2 - sqrt(11))) + (6*sqrt(1331)*-3*-1)**2.\nAnswer: sqrt(11) + 441133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2438?\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 - u**3 + 4*u**3)*(0*u**2 + u**2 - 3*u**2 + (0 - 2 + 3)*(-4*u**2 - u**2 + 0*u**2)).\nAnswer: -14*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*k + 34745 - 52674 - 86272 = 0. What is the remainder when k is divided by 450?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, a: 1, n: 8, x: 1}. Give prob of picking 1 a and 1 n.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**6\/360 - n**5\/15 - n**4\/2 + n**3\/6 - 2*n. Let h(z) be the second derivative of k(z). Let u be h(9). Is -2 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 866 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 16 = -3*h. Suppose -p + 5*k + 4 = 0, 5*p + 5*k + h = p. Let r(w) = -4*w**2 + 6*w. Let g(f) = f. Let y(a) = -6*g(a) + r(a). What is y(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n**2 + 28*n - 9. Let q be v(-29). Suppose 4342 = 28*j - q. Does 28 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 times -1192754\nAnswer: 13120294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 6*d**2 + 7*d - 16. Calculate u(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqnnnqqqndnqqq. Give prob of sequence nddq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p + 5. Let d(v) = -3*v + 5. Suppose 3*k = -5*j - 35, 16 = -5*j - 4*k - 24. What is j*n(l) + 6*d(l)?\nAnswer: -2*l + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 592294133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 - (24 - 20)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, i: 3, x: 1, u: 6}. What is prob of picking 2 i?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 234, 433, 702?\nAnswer: 1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 67 - 10 = -y, -3*q - y = -34. Suppose c = -5*p - 5, -4*c - 3*p - 41 = q. What are the prime factors of ((-9)\/c)\/(1\/85)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*d + 728*d - 233*d - 230*d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 15*k**2 + 14*k - 4. Let p be m(14). Let u be (4 + 27\/(-6))\/((-2)\/p). Is u < -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 408206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11642674*i + 853347 wrt i.\nAnswer: 11642674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*h - 15*h - 11 + 2 + (-h + 0*h + 0*h)*(-3 - 1 + 6) to the form c + u*h and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 5*b + 3*b + 3 + 0*b**2 - 5 + 5*b**2. Calculate the smallest common multiple of a(-4) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 506 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -6*w - 8. Let l(b) = -2*b + 11. Let u(f) = f - 5. Let q(x) = -6*l(x) - 13*u(x). Calculate q(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -65 (b) -8 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/(-16) - (9 + -14))*-1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12427 - -2220. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a5 (base 13) to base 3\nAnswer: 212210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*z - z, -5*r + 4*z = -22. Suppose r*j = -12 - 24. Let c(b) = b**3 + 5*b**2 - 8*b - 1. Give c(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j - 3. Suppose 5*k = -5*h + 25, -5*k + 3*k - h + 13 = 0. Let q(s) = -11*s - 8. Let y(o) = k*a(o) - 3*q(o). Let w(b) = -2*b. Calculate w(y(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from roorooorrrorrorr. What is prob of picking 2 o?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -440 + 439.94. Let q = 14\/3 - 25\/6. What is the fourth smallest value in -1\/6, -2\/5, c, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 440\/3*o - 2\/3*o**4 - 200\/3 - 94*o**2 + 44\/3*o**3.\nAnswer: -2*(o - 10)**2*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-4)\/12*-3*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 11*g**3 + 6*g**2 - 6*g - 6. Let l(c) = 118*c**3 + 117*c**3 - 347*c**3 - 5*c + 5*c**2 - 5 + 122*c**3. Calculate -5*k(p) + 6*l(p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 - -0.2. Let j = 305751 - 305751. What is the closest to j in 0, l, 10, 1\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 less than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -1\/168*c**7 - 1\/24*c**3 + 1\/8*c**2 - 3*c + 1\/120*c**6 + 1\/40*c**5 + 0 - 1\/24*c**4. Factor o(f).\nAnswer: -(f - 1)**3*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 4*h - 5 + 29, 6 = 2*h + 4*r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2784)\/256 + 12)*(1 + (-8)\/6).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*(0 - (-4 - (-36)\/8)). Solve -5 = -3*j - 2*c + q*c, 4*j + c - 2 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + (sqrt(448)*-1)**2 - (-1 + sqrt(175))*4)*-2 + -3.\nAnswer: -160*sqrt(7) + 3621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8*j**(5\/2)*j*j**(-6)\/j*j*((j*j\/(j**(-6\/5)*j))\/j)\/j*j)**40 assuming j is positive.\nAnswer: j**268","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 5*l + 23 = -6*k, 4*l = 4 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyw when three letters picked without replacement from wwwwwwwwwywwyy.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-12) - (-566)\/12*2. Suppose -m - s = 7. Which is greater: -100 or m?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 2*c**2 - 3*c + 2. Let l be g(2). Let u be 4\/10 - (-88)\/(-20). Is u > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331232 is divided by 293.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 1\/10)\/((-6)\/(-165)). Which is bigger: 4 or f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + (-1*sqrt(1700)*-2)**2 + -1 + 5 + (sqrt(1700) - (sqrt(1700) + -1)).\nAnswer: 6798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*p - 6*p. Solve x - 2 = -p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14182, -11952, -8236, -3034, 3654, 11828?\n\"Answer: 743*m**2 + m - 14926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226906 is divided by 224?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15352110 (base 6) in base 12?\nAnswer: -222636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -157 + 87. Let z = 36 - t. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, -0.06, -36, 5, -0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31743229 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 7 - (3 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 2*v - 2*v. Suppose 7*s + 665 - 679 = 0. Give h(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -2100 in ascending order.\nAnswer: -2100, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 6. Suppose k + k = p. Let y(d) = -d**2. Let j(a) = 4*a**2 + 1. Suppose 5 - 3 = 2*x - 2*b, -5*x - b + 17 = 0. Calculate k*j(n) + x*y(n).\nAnswer: n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 521, 3, 1, -10923, -3, 5 in ascending order.\nAnswer: -10923, -3, 1, 3, 5, 521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15992815 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (-2)\/(-20))\/(4\/24). Let j be 2\/5*-1 - 0. What is the closest to j in 0.2, y, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.94666l in millilitres?\nAnswer: 38946.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -480671\/565500 - 1\/141375. Calculate the common denominator of l and (-8)\/6*9\/(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 + 37 = 16*y. What is the lowest common multiple of y and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 15. Suppose -26 = -5*s + 3*s + 5*j, -2*s + 4*j + 28 = 0. Calculate the lowest common multiple of l and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1470 > -54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2848 and 12727.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x**5\/4 + 3*x**2 + x - 6. Let n(d) be the first derivative of i(d). Find the first derivative of n(z) wrt z.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**1\/j)**(-28)*j*j\/((j\/j**0)\/j)*(j*j**2*j)\/j*j)**(-36))**(11\/3) assuming j is positive.\nAnswer: j**(-792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 365 and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3867 = -2*m - 3*l, -5*l + 15 = 0. Let x = m - 1177. Calculate the highest common divisor of 16 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 2*w - 21, 2*j + 2*w = -2*j - 24 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7*(6 + 53) + 7. Factor -203 + 3*c**3 + h*c + 163*c**2 - 241*c**2 + 1379.\nAnswer: 3*(c - 14)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 235 + 227. Solve i*b = 3*k - b + 19, -4*k + 4*b = 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 106*x**2 - 4 + 102*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2085 - 0?\nAnswer: 2085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 3256166144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 434838 - 869719 + 434881 + 2*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129028132*y**2 + 7107201*y + 5 wrt y.\nAnswer: 258056264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 2657029?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-5 - (0 + -4))*-1. Solve 5*j + 3*y = 35, -5*j + l*y + 2*y + 10 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22660035 to the nearest integer?\nAnswer: 4760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1757 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (12\/90 + 13\/15). Is n*1 - (-12)\/(6\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -43*k**2 + 1\/40*k**5 + 0*k**4 + 0 + 0*k**3 + 1\/80*k**6 + 0*k. Factor a(t).\nAnswer: 3*t**2*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t. Suppose 3*z - 11 = -2. Suppose -x - 24 = z*x. What is the units digit of m(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -200 + 214. What is the second biggest value in -0.3, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 150159287 and -4.\nAnswer: 150159283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 2. Suppose 2*a = 10*n - 48, -3*a - 130 = -88. Solve -z*c - n*t + 8 = t, 0 = -4*t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 w, and 1 f when four letters picked without replacement from {o: 7, n: 3, f: 5, w: 4}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 2*v - 35. Suppose 2*i + v = 5*t, -3*i = 2*t - 34 - 10. Calculate the remainder when t is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -3 + 2 + -4 - (-120 + 49) - 13.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 713*d + 526. What is the tens digit of v(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 11.74 (b) 4 (c) -5 (d) 0 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -99*u + 102*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21395150 + 5733350. Round f to the nearest one hundred thousand.\nAnswer: -15700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 45 = v. Suppose 0 = -2*d - 2*h - 2, h + 5 = -3*d - 0*d. Calculate the remainder when ((-1)\/d)\/((-6)\/12) + 29 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/28*4 + 62\/217?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**3 + 6*f**2 - 8. Let m(a) = 9*a**3 - 11*a**2 + 17. Let w(b) = 11*g(b) + 6*m(b). Find the first derivative of w(c) wrt c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - ((3 + -15)\/2 - -3). Suppose -f*a - 76 = -7*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 3*g**2 + 7*g - 5 + 12 - 3*g. Let j be q(5). Suppose -2*h - j*h = -152. Is h a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12431.79 - -12387.79053. Let y = k - -44. What is y rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*a + 8 = -5*x, x - 16 = 4*a. Let g(w) = -2*w - 4. Let i be g(-3). Let f be i*(-1)\/2*-4. Sort -19, x, f in increasing order.\nAnswer: -19, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108867 (base 9) to base 7.\nAnswer: 362140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 31.\nAnswer: -5, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-5*(sqrt(875) + 2*sqrt(875)))\/(-1*sqrt(700)*3 + 3*-1*sqrt(700)))**2.\nAnswer: 125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1362646 and 469.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 7:50 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from {r: 5, j: 1, g: 3, y: 4}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29014*f + 43289*f + 47170*f)*(-2 + 3 - 3) to the form w + o*f and give o.\nAnswer: -122890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2253, 1309, -23, -1545, -3059, -4367, -5271?\n\"Answer: 33*o**3 - 392*o**2 + o + 2611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 240189 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 2:24 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 >= -1.974?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**5 - 78*k**4 + 72*k**3 + 1680*k**2 - 4848*k + 3744 = 0. What is k?\nAnswer: -26, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*s = -133*s - 96 - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -68*t - 38. Let w = -85 - -81. What is the hundreds digit of o(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 2846497977252.\nAnswer: 2846497977249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 0*y**4 - 16\/5*y**5 - 2*y**2 + 0*y + 0*y**3 - 6. What is the second derivative of g(u) wrt u?\nAnswer: -192*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*u + 42 = -43*u. Solve 3*h - 13 = 2*b, -10 - 1 = -u*h - b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*o**2*r**3 - 4*o**2 - o*r**3 + 21 with respect to r.\nAnswer: 117*o**2*r**2 - 3*o*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 25 = 3*x + 3*o, -17 = -4*x + 5*o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5909448981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*m - 280*m - 251 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1623511?\nAnswer: 107, 15173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 26\/5, -0.7, -153, -10, 4, 2 in increasing order.\nAnswer: -153, -10, -0.7, 2, 4, 26\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/13)\/y**1)**38)**5)**(-33) assuming y is positive.\nAnswer: y**(68970\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 200*r**2 + 71*r - 45. Let y(c) = -1199*c**2 - 430*c + 264. Let k(b) = 23*s(b) + 4*y(b). What is the second derivative of k(d) wrt d?\nAnswer: -392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -25*h**7\/14 - 49*h**6\/6 - 19*h**5\/2 + 5*h**4\/3 + 20*h**3\/3 + 9*h - 55. Solve o(d) = 0.\nAnswer: -2, -1, -2\/3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 2*s - 42. Let p = s + 3. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 4:55 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151 by -276802.\nAnswer: -151\/276802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -8\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4206, 4739, 5568, 6693?\nAnswer: 8114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -3. Solve -c = t*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -v + 2*k, -3*k + 5 = 3*v - 34. Calculate the remainder when -4 - (12\/8 - 61\/2) is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 1275.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2974 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 5:47 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*k + 48. Suppose -4*d - 14 = d - 4*x, -3*x = -2*d. Let v = k - d. Calculate the remainder when v is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - 33. Suppose u*j = 104499 + 88101. What is j rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 s when three letters picked without replacement from msaaasasass?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 631*c - 3147. Let i be b(5). Solve r + 53*v = 52*v - 2, 4*v + i = 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.3 and -20336.8?\nAnswer: 87448.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2. Let p(q) be the second derivative of 0*q**2 - 1\/6*q**4 - 4*q + 0*q**3 + 0. Calculate p(d(x)).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.77 + -1.38. Let g = s - -0.31. What is the nearest to -13 in 1, g, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 + -35. Suppose 20 = -4*p + 5*p - 4*w, a = 5*p + w. Let o = 1 + 5. Calculate the remainder when o is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 9 = -2*k. Let s(b) = -83*b - 388. Let p be s(-5). Calculate the greatest common divisor of p and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/20*-2)\/(8\/(-4168)). Let t = 105 + p. Put 0.4, -0.5, t, 0 in decreasing order.\nAnswer: t, 0.4, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50a4 (base 14) in base 2?\nAnswer: 11011000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3123*f**2\/2 + 2451*f\/4 + 123\/4.\nAnswer: 3*(3*f + 1)*(694*f + 41)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.477 times -3\nAnswer: -1.431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/435010 and 113\/10610.\nAnswer: 435010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -19821 times -0.2\nAnswer: 3964.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64601\/52976 + -269\/176. Let h = l + 1\/43. Which is the third biggest value? (a) 3 (b) 0.1 (c) 1 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - h - 3*h + (5*h - 4*h + 0*h)*(-15 - 19 + 44).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**5\/20 - 3*h**4\/4 + 3*h**3\/2 - 4*h**2 - 137*h + 20. Let y(d) be the first derivative of p(d). Determine y(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o + 5. Suppose -16 = q - 5*i - 43, -2*i - 6 = 2*q. Suppose -2 = q*r, -3 = v + 4*r + 6. Let x(u) = 5*u - 4. Determine v*x(w) - 4*k(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1165 - 266040?\nAnswer: -300235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -10\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 9 + -6 - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 2. Let g be v(6). Suppose -5*l + 25 = g*m, -4*l = 4*m - 10 - 6. Is 2*l\/(-24)*-8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.75 rounded to zero decimal places?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*p - 11*r + 15*r, -3*p + r = -30. Suppose 0 = -2*s - 5*n + 251, -3*s + 44 = n - 313. Suppose 888 = p*c + s. What are the prime factors of c?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbcc when four letters picked without replacement from ytcubbcuyycubcubvyy?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024431338?\nAnswer: 2, 7, 73, 143197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 14*p**2 + p + 2. Is t(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-21) + (-30)\/(-21). Suppose a*s = 8 + 2. Suppose 5*l + s*y = 6885, -3*l + 4147 = -y - 4*y. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 243017, 243014, 243011, 243008?\n\"Answer: -3*v + 243020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1398*p + 1322*p + 304 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-693)\/(-1350))\/77)\/(-2 + 49\/28)\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(6\/13))\/x**(-1\/2) assuming x is positive.\nAnswer: x**(51\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 9 = -13. Calculate the highest common factor of u and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 + -1. Let q = 157.01 - 156. Let s = q - 0.01. Which is the third smallest value? (a) g (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.148 in 4, -0.25, 2\/23?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*a + (6*a + 42*a - 3*a)*(3 - 4 + 2).\nAnswer: 47*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1780 = 2*x - 7*x. Let s = x + 1431\/4. Factor 1\/2*a - 1\/2*a**3 + 0 + s*a**2 - 7\/4*a**4.\nAnswer: -a*(a - 1)*(a + 1)*(7*a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1663, -1603, -1507, -1375, -1207, -1003, -763?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/2 + 8 - 3. Suppose -5*m - r*y = -y, 3*m - y + 16 = 0. Is -2 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 18, -34 = -v - 18*k + 17*k. What is the remainder when 566 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9054653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4*n**0*n*((n**(-2\/13)*n)\/n*n)\/n**(2\/9))**50)**(26\/5) assuming n is positive.\nAnswer: n**(13160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 11:08 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, -2\/7, 1\/2, 1\/8, -6 in increasing order.\nAnswer: -79, -6, -2\/7, 1\/8, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62112, -248370, -558800, -993402?\nAnswer: -1552176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 4:47 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 19*p - 9. Let t(c) = 9*c - 4. Let b(i) = 4*l(i) - 9*t(i). Let d(r) = -7 + 1 - r**2 + 6. Determine d(b(s)).\nAnswer: -25*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 13)\/(3\/(-3)). Let s(g) = 33*g - 7. Let n(z) = z**2 + 67*z - 15. Let w(d) = v*s(d) + 6*n(d). What is the second derivative of w(b) wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 2*v - 33, -s = -0*s - 5*v + 28. Suppose -7*z + 63 + 56 = 0. Let x = s + z. Solve -g = -x*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c7a7 (base 15) in base 13?\nAnswer: -162b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*k + 1431 - 5955. Is k a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/(x**3*x))\/x)*x*x)**(-5\/11))**(-16) assuming x is positive.\nAnswer: x**(560\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h + 149. What is the tens digit of p(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -363 + 366. Solve -4 - 5 = p*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493649 (base 13) in base 14?\nAnswer: 3379dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 192906 and -83?\nAnswer: -16011198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 9491*q + 1025130. Calculate k(-108).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + t**3 - 3*t**3 - 1176*t**4 + 158*t + 1 + 1174*t**4 to l*t**3 + j*t**2 + r*t + i*t**4 + y and give r.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 2*j + 18, -2*x + 35*j - 33*j + 22 = 0 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 41*a**2 - 16*a - 8. Let v(r) = 40*r**2 - 14*r - 7. Give -6*v(w) + 5*y(w).\nAnswer: -35*w**2 + 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 239, 1432, 4681, 11018, 21475?\n\"Answer: 172*u**3 - 4*u**2 + u + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*(-37854)\/143004\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -108485865125364.\nAnswer: -108485865125363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11 - 9 - (-2 + 2). Suppose 0 = 10*z + h*z + 8496. Calculate the common denominator of -75\/22 and (4 - z\/(-128))\/((-6)\/8).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30629 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y. Let l(h) = 41*h - 6 - 13 + 19. Give l(r(o)).\nAnswer: 82*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-360)\/(-576)*7\/(-1). Which is smaller: u or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 76, 172, 296, 442, 604, 776?\nAnswer: 952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and 87760.2.\nAnswer: 1842964.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 5*u - 7. What is c(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 580*b**3 - 718*b**2 + 5*b + 15998223 with respect to b.\nAnswer: 1740*b**2 - 1436*b + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12163789073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -290 divided by 10\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14848160 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41399\/42 + -6884\/21. Suppose -6695 = 3*i + 2*i. Let u = i - j. What is the common denominator of u and -44\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2548 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1332 + 49272\/37. Let j = -1473\/592 + h. What is the common denominator of -1 + 1 - (-118)\/(-12) and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 152.9 - 153. Which is the second biggest value? (a) -1\/6 (b) 11 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -4, -1329268, 3, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 8*y - y)*(0 + 0 - 3*y**2)*(1 + 1 - 8)*(-3 + 3 + y).\nAnswer: -90*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*z = 5*z + 8, -3*n - 2*z + 12 = 0. Solve 0*o - n*o + 8 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(153) + 3 + -1 - (-1 + (sqrt(153)*-1*5)**2))*1.\nAnswer: -3827 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-8\/7))**(-5)*(r*r**28)\/(r\/(r**(6\/7)*r*r)) assuming r is positive.\nAnswer: r**(256\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 420\/11 - 3226\/77. Let n = 2292\/5 - 277217\/605. Calculate the common denominator of t and n.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 2*r**2 - 14*r + 30. Give q(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6124877ml?\nAnswer: 0.0006124877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*l = -18, -4*l + 5 = b - 4. Suppose 4*z - g = 1, -5*z + 0*g = 3*g + 20. Let p = z - b. Solve 0*j = j - p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 521*m + 32 = 517*m, -6*x + m = -5*x - 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 5*g - 6. Let w be y(6). Solve w*b + 2*b - 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 16064300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4096)\/4864)\/(30\/(-95))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3301*k - 817*k - 832*k - 826*k - 816*k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 49 + -196?\nAnswer: -14d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120) + sqrt(120)*-2)\/(sqrt(10) - (-2*sqrt(1440) + sqrt(1440))).\nAnswer: -2*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 114*l - 110*l + 436, -334 = 3*l + c. Let x = 13 + -28. Let n be (l\/x)\/((-6)\/(-9)). Calculate the greatest common factor of n and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28790581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1490995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 12*k = -8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(4\/9)*p\/(p*p\/(((p*p**(-2\/17))\/p)\/p)))**(-2\/11))**(1\/6) assuming p is positive.\nAnswer: p**(103\/5049)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 - 26?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 333059\nAnswer: 999177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 17*d - 294 = -15*d, -2*r = 2*d - 310. Are r and 133 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) 0 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(3\/4))**(-3\/2)\/((w*w**1)\/(w*w**(-4)*w)))**(1\/4))**(-17) assuming w is positive.\nAnswer: w**(697\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (66591\/735)\/((-1)\/(-5)) is divided by 224.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 - 7*n**2 + 3*n + 1. Let r be a(-4). Solve -2*t + 4*k = k + 2, 41 = r*t + 4*k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -7 + 3 - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.3, -0.6, 438, 5, 0.03, -4\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -916 + 916.819. Let q = 0.818998244 - j. What is q rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*k = -24, -2*b - 2*k - 3*k - 5 = 0. Suppose -185 - 10 = -65*g. Suppose 5*f - 5*a + g*a = 30, 5*f + a = 15. Solve -f = -b*i + i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91.02 + -91. Let j = w - 4.02. Suppose 4 = -h - 4*m, -1 = -2*h - 3*h + m. Which is the closest to 2\/7? (a) 1\/15 (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 808 less than or equal to -5874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 10*g. Let u be (-2 + 1 + 0)\/(3\/(-12)). Let s(z) = -3*z - u*z + 8*z. Give t(s(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2541787 micrometers to kilometers.\nAnswer: 0.0000000002541787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171210 and 14820.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/2)\/(12\/(-32)). Let i(s) = -4*s + 4*s**2 + c*s - 2*s**2. Let z be i(-1). Solve 2*t - 16 = -z*f - 2*t, -10 = -2*f - t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106*k + 242*k + 349*k + 209*k + 184*k to w*k + m and give w.\nAnswer: 1090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6) - 6\/(-9). Does 52 divide -82*((-5)\/5 - 4\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**6\/21 - x**4\/7 + x**2\/7 - 9. Factor m(i).\nAnswer: 2*i*(i - 1)**2*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45940217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-9 - -7) - 27 - -6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2000 and 64250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68169?\nAnswer: 3, 31, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6780 is divided by 399\/(-665) + (-1292)\/(-20).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101022000 (base 3) to base 7\nAnswer: 30612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409 is divided by 83.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -124 - -123. Let f be ((-12)\/243)\/((-1)\/3381). Let t = f - 167. Do x and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 196*p**3 + 3*p**4 - 6220 + 8*p + 6216 - 2*p**2 - 194*p**3 in the form d*p + s + z*p**4 + r*p**3 + k*p**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3843 = 4*b, -3*b = -97*c + 93*c + 3073. Calculate the highest common factor of 3488 and c.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**2\/2 - 41. Let n = 14 - 9. Determine r(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 7 = 7. Let t be (-328)\/(-205)*(1*5 - s). Solve -2*u + 6*u + t = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 - 5*y**3 + 2*y**3)*(y**2 + 11*y**2 - 3*y**2).\nAnswer: -9*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z - 6*z + 907457290 = 0. Suppose 21*x = -24059090 - z. What is x rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.11+4812.46\nAnswer: 4823.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 35*q + 13 = 82, -4*q - 16 = -2*b - 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*d + 0*d + 2*d)*(-1 - 1 + 0) + 3 - 6*d - 3)*(-1073 + 579 + 539) to the form j + h*d and give h.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 119176118*u - 382013325 wrt u.\nAnswer: 119176118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a3504 - 1?\nAnswer: a3503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**5\/10 - 106*u**4\/3 - 911*u**3\/6 - u**2\/2 - 11*u - 77. Find the second derivative of z(o) wrt o.\nAnswer: -12*o - 848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*u = 42*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101 - -10011001001?\nAnswer: 10100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.0301 - -0.0301. What is the closest to -1\/2 in -8, -7, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j - 8. Suppose 6 = j*g - 2. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -189 - -291. Suppose 3*x - n = -5*k + 4*x, 0 = 4*k - 2*x - 84. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*f - 6 = -116*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38643, -71467, -104287, -137103?\nAnswer: -169915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 650094551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(5 - 81 - 9)*(2*b + 2 - 2).\nAnswer: -170*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104568 divided by -4357.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894807 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 11*i**2 - 5*i + 5. Let h(c) = 104*c**2 - 48*c + 48. Let k(n) = 5*h(n) - 48*j(n). Let p(o) = 6*o. Determine p(k(w)).\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 541.4103km to nanometers.\nAnswer: 541410300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 121698 and 148742.\nAnswer: 1338678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6053295?\nAnswer: 3, 5, 403553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 2*p + 97. Determine k(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 251 + -1249\/5. Let -2\/5 - 4\/5*k**2 + 2\/5*k**5 + 4\/5*k**3 - t*k + 6\/5*k**4 = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-97 - -98)\/(2\/58). Solve -5*y - 5*u + 4 = -1, 5*u - m = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 235 - 11. Is u a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*4*(10\/(-650)*5)\/((-214)\/6955)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9850000 rounded to the nearest one hundred thousand?\nAnswer: 9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.951 - -0.049. Let j = -4 + m. Which is the smallest value? (a) j (b) 4 (c) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 5*h - 4*m, 3*h + 2*m = 8. Suppose -h*i - 24 = 12. Let j = -5 - i. Solve 5*y + u - 8 = 0, -3*y = 4*u - 3*u - j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 6649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151 - 151 + 2*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 324135751 to the power of 1\/3, to the nearest integer?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12161070?\nAnswer: 2, 3, 5, 73, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -101 - 30602?\nAnswer: -31003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 104021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 52, 1 in decreasing order.\nAnswer: 52, 1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 194 - 42. Calculate the greatest common divisor of r and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2084058*s**2 + 475677.\nAnswer: -4168116*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82510194 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7570, 7570, 7568, 7564?\nAnswer: 7558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9634 = 3*c + w, -6*c + 16042 = -c - 2*w. Suppose -4*d + 598 = -c. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -20132?\nAnswer: -20122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 40299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 33438*-3\nAnswer: -100314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*c**2 + 0 + 4 - 1 - 4 to the form i*c + h + t*c**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.45, 1, -1, 2\/5, -28, 4, 9.9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - z - 122, -86 = -0*j + 2*j + 3*z. Suppose 0 = 108*y - 128*y - 780. Do j and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u + 0*u)*(0 - 1 + 0) + 42 + 6 - 56 + 157*u.\nAnswer: 155*u - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/30 + (138\/230)\/(2\/47). Solve -7 = 4*x - 15*i + b*i, -4*i + 14 = -2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/25, -0.3, -2\/83, 2\/5, 5?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (42*g**2 - 362*g**2 + 33*g**2)*(21*g**2 + 9 - 9) to the form r + w*g**4 + f*g**3 + h*g + l*g**2 and give w.\nAnswer: -6027","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339681925*h - h**2 + 47 + 0*h**2 + 339681922*h.\nAnswer: -h**2 - 3*h + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and -456686.\nAnswer: -4566.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmt when three letters picked without replacement from kxkmt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*a**2 + 14*a**2 - 976 + 487 + 489.\nAnswer: -123*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -830 bigger than -457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**3*l**2*n + 448*h**3*l*n**2 - 21*h**3 - h**2*l**2 - 42*h*l**2*n**2 + 2*h*l*n**2 - 98*l**2*n - 2*l*n wrt n.\nAnswer: 896*h**3*l - 84*h*l**2 + 4*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*t = 15. Suppose -3*f + 173 = 158. Calculate the greatest common divisor of t and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-392)\/(-126)*189\/546*39.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 + -87 + 26 - (-84)\/(-300)*24\/7.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + (10 - 23) - 32.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.63212 years in decades?\nAnswer: 2.863212","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 4:15 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 8:38 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(68) - -1*sqrt(68)) + sqrt(68)) + sqrt(17)*-2*-6 + 4.\nAnswer: -24*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 4*z = 0. Suppose 0*i + 5*b = 5*i - 15, -4*i - 5*b + 39 = z. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2552969, -2552992, -2553029, -2553086, -2553169?\nAnswer: -2553284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4321, 17262, 38793, 68884, 107505?\nAnswer: 154626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -539893*p**3*x**4 + 22*p**3*x**3 + 1648285*p**3*x**2 - 7*p*x wrt x?\nAnswer: -12957432*p**3*x + 132*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270 and 540.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, f: 16}. Give prob of sequence uf.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31905353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-8) - 10\/(-4). List the prime factors of (74 - 12) + a + -1.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*t + 14*t**3 - 121*t - 5*t**2 + 73*t + 5*t**2.\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2*w + w**2)*((0 + 4 - 6)*(3 + 3 - 5) - 1 - 1 + 0).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3014.2 and -0.0191833234.\nAnswer: -3014.2191833234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 336 or 338?\nAnswer: 338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12373, -24744, -37117, -49492, -61869, -74248, -86629?\n\"Answer: -v**2 - 12368*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from ttctzcdctnt.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 27 = -1560*r + 1565*r, -2*r = t - 10 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4941527.9 rounded to the nearest one thousand?\nAnswer: 4942000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -92, 2 in increasing order.\nAnswer: -92, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*n**3 + 1978*n**2 + 1901315*n wrt n?\nAnswer: -108*n + 3956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - -17. Let m = o - 24. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4248 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 g(q) = 15*q**3 - q**2 + 5*q - 4. Let c(x) = -7*x**3 - 2*x + 2. Determine -5*c(y) - 2*g(y).\nAnswer: 5*y**3 + 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5684.543ng in micrograms?\nAnswer: 5.684543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 - 5 + 5 + (0 - 4 + 6)*(-3*i + 3*i - 2*i**3) + (i + i + 0*i)*(20*i - 19*i + 2*i**2 + 0*i**2).\nAnswer: 2*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.62 + 35.62. Let z = 34.79 - o. Let p = z - -0.209978. Round p to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*i**3 - 2 + 7*i - i**3 - 19*i**3 - 3*i**3 to t*i**2 + k + o*i + h*i**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/12*6\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 1483 + 110. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -20. Solve -16 = 5*t + a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-10))\/(((-72)\/1248)\/(15\/2))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 + 2309032?\nAnswer: 2309017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -43 + 9 + -16 + 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 11*b**3 - 146*b**2 - 75. Let q(i) = 2*i**3 - 21*i**2 - 10. Calculate -2*k(c) + 15*q(c).\nAnswer: 8*c**3 - 23*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 5) to base 8\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -136 - -129. Which is greater: -33\/5 or y?\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706031 times 0.4?\nAnswer: 282412.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 813868973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 11 = 5*s. What is the least common multiple of -1 - -8 - s\/(-5) and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3680200 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(-1)*o)\/o)\/o)**(7\/9))**(-23) assuming o is positive.\nAnswer: o**(322\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**2 + 1190*s + 14222. Give z(-12).\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*s**3 - 25*s**3 + 59*s**2 + 18*s**3 - 2*s - 46 + 21 + 27 to the form h*s + a*s**3 + k + d*s**2 and give a.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1357 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2063891 - -26303897. Suppose -13*w = -15*w + v. Let u be (-2)\/(-4) + w\/(-6). What is u rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.152293 to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2*196\/24)\/(1\/(-9)). Suppose -2*g = -4*z - 377 + h, 0 = 2*z + 10. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -4328094828556.\nAnswer: -4328094828556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/3 - 3)\/4. Suppose 4*q - 2*x - 4 = n, 3*q + 5*x - 4 - 12 = 0. Solve d - 5*o = -0*o + 14, q*o + 12 = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v - 9. What is the first derivative of -v*a + 4*a - 1 + 2*a wrt a?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*p**3 + 26*p**4 - 17 - 76*p**4 - 26 - 6*p**3 + 50 - 2*p - 2*p**2 in the form o*p**3 + w + d*p**2 + i*p**4 + n*p and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -9. Let m be 2\/2*(0 + -3). Let r = 3 + m. Solve -q*x + r = -8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1200 + -242?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.191827 to one dp.\nAnswer: -16.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -763818 divided by 22.\nAnswer: -34719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*p = -3*s + 15, -5*s - 5*p = -30. Suppose 60 = t + 3*x, -s = -4*t - 4*x + 215. Calculate the remainder when t is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32 - -31)\/((-1)\/3). Solve -3*h = p*h + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2713 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzvtzvfzvfafz. Give prob of sequence az.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2628737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + (-1 + sqrt(17))*6)**2*-5 + ((sqrt(2057) - (2 + sqrt(2057) + -2)**2) + sqrt(2057) - (2 + sqrt(2057) + -5)).\nAnswer: -8214 + 251*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -370053.425 to the nearest 10.\nAnswer: -370050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 6) to base 8\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**3 - 1626*v**2 + 9784*v - 13056 = 0.\nAnswer: -1632, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/55 and 6\/506635.\nAnswer: 5572985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*t**2\/2 + 2826861*t\/2 + 9109335.\nAnswer: -3*(t - 104705)*(9*t + 58)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-16) - 2510\/8. Calculate the common denominator of 61\/30 and (-4)\/(-6)*3*f\/168.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 115 - -86 - 141 - -29?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 114336 (base 7) in base 2?\nAnswer: 101000100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2\/2 + 28390580*d = 0. Calculate d.\nAnswer: -56781160, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f - 6. Let o be p(-6). Suppose -8*g + o*g = -8. Suppose m = -3*j + 26, 2*j - g*m + 11 = m. Calculate the lowest common multiple of j and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*(sqrt(65) - (-3*sqrt(65) - sqrt(65))*3))\/(-3*sqrt(15)\/sqrt(3) + (sqrt(50)*-4)\/sqrt(10)).\nAnswer: -325*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(72) - (sqrt(72) + 1))*-4)**2 + sqrt(72)) + ((sqrt(242) + sqrt(242) + 1 + 4)*5)**2.\nAnswer: 5512*sqrt(2) + 24857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -794 + 1115. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -0.07, -75?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*a + 3, -3*n = -a + 10 - 11. Suppose -1098 = -3*w + 4*r - n*r, 4*w - 1464 = -4*r. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5 - 242*l**4\/7 + 4678*l**3\/7 - 2606*l**2\/7 - 10064*l\/7 - 2552\/7 = 0. What is l?\nAnswer: -29, -1, -2\/7, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/(o\/(o*o**(-24)))*o))\/o**(2\/17)*o\/(o\/o**28)*o*o**(-19\/5) assuming o is positive.\nAnswer: o**(4172\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -258*b**5 - b**3 - 717*b**2 - 25032515*b?\nAnswer: -5160*b**3 - 6*b - 1434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -19*j. Let c(v) be the third derivative of -71*v**5\/60 + 52*v**2. Calculate y(c(z)).\nAnswer: 1349*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 41293279 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -32.558 * 0.06\nAnswer: -1.95348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -302 - 34. Suppose 5*l + 5*x = l + 17, -3*l + 3*x - 21 = 0. Let o be 17 + (l\/(-2))\/(-1). What is the highest common factor of m and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 2. Let t = -19 + 11. Let d be m(t). Solve -s - d = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*v = -230920 - 239480. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13329\/13 = 1026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w**3 + 3*w**2 + 4*w. Let x(i) = -i**3 + i**2. Let m(o) = l(o) - 3*x(o). What is the second derivative of m(b) wrt b?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 185.8 + -35.8. Let u = c - 153. What is the smallest value in -2, u, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1220 - 3*c - 1220.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.71 - -4.2. Let w = 6173 - 6173.49006. Let x = w + g. Round x to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n = -i - 18*n + 1136, -5*i + 5689 = n. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -d - 0*d - 13, -5*d - 15 = 0. Let h be 20 + -6 + 5 - 1. Suppose h*i - 41*i = -138. What is the least common multiple of x and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 220, -138, -1230, -3422, -7080, -12570?\n\"Answer: -61*a**3 - a**2 + 72*a + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/3 in -114937, 2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 3*w + 54. Let d be a(9). Is d less than -163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 11. Let l be z(-9). Let a(o) = o**2 - o - 1. What are the prime factors of a(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 m, and 1 g when four letters picked without replacement from rwmggmrrwgggg?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3436*y**2. Let s(v) = -20061*v**2. Calculate s(l(c)).\nAnswer: -236842091856*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -0.1. Let z = -0.562 + 0.062. Which is the closest to 8\/5? (a) t (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 - 2 = 0. Suppose 0 = 3*d - i*y - 2*y + 36, -5*d - 37 = y. Let v = d + 13. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5567*z + 7428 - 319*z - 7426)*(0 - 2*z + 0).\nAnswer: -10496*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**(1\/9)*a)**(-1\/34)\/(a**(-21)*a**(-6\/19)) assuming a is positive.\nAnswer: a**(123227\/5814)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 3:02 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1297473 and -92377.\nAnswer: 1205096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -19. Let t be 8\/18*(-9)\/6. Is q equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4358 = -429*a - 24179 - 1200. Let v(w) = w**3 - 2. Let u be v(0). Sort 2, a, u.\nAnswer: a, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -22, 0.7 in decreasing order.\nAnswer: 1, 0.7, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 18*a - 10\/3*a**3 + 1\/4*a**4 + 0*a**2 - 28. Is h(10) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13772?\nAnswer: 2, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 4030158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*u = 0. Let b be -1 - (u + 0 + -1). Suppose 0 = -z + 6 - 1. Solve z*f = -b*f + 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21, -24, -27, -30?\n\"Answer: -3*u - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*k**2 - 15*k + 2*k - 3*k**2)*(0*k + 4*k - 5*k) in the form a + w*k + g*k**3 + t*k**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**4\/5 + 294108*h**3\/5 - 882312*h**2\/5 + 882308*h\/5 - 294102\/5 = 0.\nAnswer: 1, 147051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -177*s + 936. Suppose 3*t = -3*g + 606, -3*g = t - 0*g - 202. Calculate the remainder when t is divided by m(5).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 287 - 195. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10784, -21544, -32328, -43142, -53992, -64884?\nAnswer: -75824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.029 and -32.7057.\nAnswer: -32.7347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 11*j = 8624. List the prime factors of j.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6621 - 6621.4. What is the closest to 0 in 3, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + sqrt(3) + -1 + sqrt(3))**2.\nAnswer: -4*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 219*s**5 + 2364*s**4 - 5*s**3 + 27447249*s?\nAnswer: 4380*s**3 + 28368*s**2 - 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8572875*l + 8572738*l + 685 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -220 + (-17 - -199) - (-36 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 + 73. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*c + 35 = 0, -4*t - 3*c + 7 = -18. Suppose -5*l + 0*l = -t. Solve 0 = 5*u - l*q - 23 + 6, 3*q - 17 = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153793657?\nAnswer: 19, 337, 24019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*12*(-3)\/30*-5. Is t less than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65420743583 + -0.3.\nAnswer: 65420743582.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r = -5*t + 7*r, 2*t - 31 = 5*r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 11*c + 41 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 20.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, -54, -1, -39282, -1\/3, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (34 - 660)*(-6)\/(-14). Which is smaller: -269 or h?\nAnswer: -269","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10345 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 + 76. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -651, -1307, -1955, -2589, -3203, -3791?\n\"Answer: y**3 - 2*y**2 - 657*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 1\/6, 2.15, -0.5, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-27)\/(-18))\/((-1)\/6). Let g(t) = -t**2 + 1. Let q(w) = 3*w**2 - 9*w - 7. Let f(p) = -4*g(p) - q(p). Let k be f(c). Solve k*n + 20 = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((4*sqrt(1008)*-2 + sqrt(1008))*2)\/((sqrt(729) + 2*sqrt(729)*4 - sqrt(729))*4))**2.\nAnswer: 343\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*m + 40*m + 63*m + 78*m - 267*m + 2*m**2 + 91 to the form t + c*m**2 + b*m and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 360689926 - -0.06.\nAnswer: 360689926.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 4)*(-m + 0 + 0 + (m - m - 2*m)*(21 - 5 + 6) + 3*m + 5*m - 5*m + (2 + 4 - 5)*(4*m + 0*m - 2*m) - 1 + 14*m + 1).\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*h = 5*i - 50, 25 = 2*i - 3*h. Suppose 147 = i*f - 53. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z. Let w(u) = 5 - 55*u - 5 + 52*u. Give w(q(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2.401 - -0.074\nAnswer: -2.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -705 - 0.054887.\nAnswer: -705.054887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-two fifths of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 2. Let d be s(5). Let v(n) = n**3 - 5*n**2 + 4*n + 10. Let k be v(d). Let o = k - 89. List the prime factors of o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44574395*q**3 - 146*q - 1486800 wrt q?\nAnswer: -267446370*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -0.1, 4\/9, 0.2, 2\/7?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 12 = -2*z, -5*z - 12 = -l - 33. Suppose -z*p + 3731 = 1155. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1465 - -90. Calculate the remainder when p is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.371 + -1112.629. Let j = 1114.507 + r. Let y = j + -0.007. Put 0.13, y, -1\/2 in increasing order.\nAnswer: -1\/2, 0.13, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1397 + -1328. Sort 3, 1, s.\nAnswer: 1, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w - 15*w + 152 = -354 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41.6 and -38145.\nAnswer: 1586832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -171, -7, -83?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/20*1)\/((-2)\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 85346, 85665, 85984, 86303, 86622?\n\"Answer: 319*p + 85027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-6) - (0 - -1) - -11. Suppose -16*o + 38 = -i. Factor -11\/3*f**2 - 4\/3 - 20\/3*f + 35\/3*f**o.\nAnswer: (f - 1)*(5*f + 2)*(7*f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459396.5 centuries in months?\nAnswer: 551275800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*1*9\/(-6). Let s(w) be the first derivative of -w**2 - w + 2. Is 9 a factor of s(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.622 + -62.178. Let x = g + 63. Let z = 0.3 + 0.1. Which is the second smallest value? (a) z (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 + -78 + -10 - -47?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -9. Suppose -77 = -3*u - 4*y, -u + 0*u - g*y = -31. Suppose 2*r - u = -9. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/10 of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times -1\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 286508100 to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, f: 14}. What is prob of sequence fdfd?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2*-1*(1 + sqrt(300)))**2 + 3*-6*(sqrt(300) + -1 + sqrt(300) + sqrt(300))**2).\nAnswer: -4640*sqrt(3) + 189656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/21060 and 83\/496080?\nAnswer: 4464720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1632 + -1589. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/21)\/(3 - (-224)\/(-75)). Calculate the highest common factor of b and 450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**2*r**2 - h**2 - 100*h*r**2 - 10*r**2 + 3*r + 6546 wrt r.\nAnswer: -2*h**2 - 200*h - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120565276 to the nearest integer?\nAnswer: 10980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 6. Let d be ((-56)\/q)\/((-3)\/6). Suppose 12 = 2*x - 5*m - 16, 0 = 2*x - 4*m - d. What is the remainder when x is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {w: 4, f: 1, a: 7, h: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**4\/12 - 19*g**3\/3 + 37*g**2 + 56*g - 2. Let x be r(36). Solve 3*l = -x*n - 1, -4*l + 2*n + 22 = -0*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2 + 1*(sqrt(147) + sqrt(147)*2))*-5)**2*5.\nAnswer: -995250 - 63000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**10\/75600 - y**9\/4200 - y**8\/1680 - 25*y**4\/4 + y**2\/2 + 145*y. Let c(u) be the third derivative of o(u). Factor c(k).\nAnswer: 2*k**3*(k - 10)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1))\/(1\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 4*o**2 - o - 2. List the prime factors of a(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-14))\/(-1)*(-7 - -5). What is the smallest value in t, -51, 0.4, 0.5, 3\/2?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2392567 + 0.05?\nAnswer: -2392566.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/8 <= -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 528*h**2 + 16 + 338*h**2 to g*h + f*h**2 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-120)\/(-4))\/(-10) - (-1 + 0). Let d(m) = m**2 + 2*m + 1. Calculate d(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1800 by 4.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 12, -1\/4, -1\/22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 2*k**2 - 7*k + 3. Let t be j(4). Let m = 9 - 6. Put m, t, -2 in decreasing order.\nAnswer: t, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44503 is divided by 44497.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 981783487 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: Let b(v) = -7*v**3 - 2*v + 1. Suppose -108*y = -287 + 1259. Let k(u) = 28*u**3 + 9*u - 5. Calculate y*b(m) - 2*k(m).\nAnswer: 7*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/16694 and 49\/1210.\nAnswer: 10099870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/12*-6 - -4. Suppose f - x*f + 440 = 0. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + (-63)\/((-18081)\/(-16051))?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - t. Let c(d) = 8*d**2 + 5*d + 2. Let o be 1938\/247 - (-4)\/26. Suppose 0 = -4*n - o + 4. Calculate n*c(i) - 6*q(i).\nAnswer: -2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-189)*-6*330\/40*-3\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 772299296 to the power of 1\/2, to the nearest integer?\nAnswer: 27790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (133\/28 + -6)\/((-1)\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 183 - 173. Let f = -70 + 150. What is the highest common factor of f and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - sqrt(1584))*6)\/sqrt(4).\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6753352 + 15*f - 32*f - 6753352 + 2*f.\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96 - 10. What are the prime factors of u?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 divided by 3?\nAnswer: 190\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2507?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 + t - 1. Let w be v(1). Solve 4*s - 2*q - 5 = 3*q, -w*q = 3*s - 21 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 0)*(-1 + 2 + 2) + (-2 + 3 - 2)*(-2 + 2 + 1))*(-3*y**3 - 2 + 2) + (-2 + 1 + 5)*(-2*y**3 + 4*y**3 + 0*y**3).\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26106 divided by 13053.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 96 - -15564.\nAnswer: 15660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*h = 8852, 57*f - 2*h + 8853 = 62*f. List the prime factors of f.\nAnswer: 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8403 = -532*z - 1168*z - 19068 - 16729 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*(2*sqrt(3267) + sqrt(27)) + 3)**2 + (sqrt(108)*4 - (2 + sqrt(972))).\nAnswer: -1650*sqrt(3) + 228533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -295 * 0.1394.\nAnswer: -41.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b. Let t = -100 - -102. Let y(z) be the first derivative of 1\/3*z**3 + 0*z**t + 0*z - 1. Give m(y(w)).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 36 = 4*w, 0*r + 4*w + 13 = 3*r. Find the third derivative of 16*g**2 - r*g**3 - 6*g**3 - 25*g**2 wrt g.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - g - 1. Let i(v) = 3*v**3 + 12*v. Give -i(u) + n(u).\nAnswer: -2*u**3 - 13*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 173897811*z**4 + 181847139*z**2.\nAnswer: 4173547464*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 + 5*g + 123. Determine j(16).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2237379526?\nAnswer: 2, 43, 383, 67927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**5 + 96*o**4 - 1176*o**3 + 2972*o**2 - 2790*o + 900 = 0. What is o?\nAnswer: 1, 15, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220013221 - 10?\nAnswer: -220013231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-135 - 1 - (-40 + 15)) + 1 + 6 - -9\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351495 = -62*j + 17*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*x - 13*x. Suppose -3*o + 4 + 8 = x, -802 = -5*b + 2*o. Does 31 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33150 and 17940?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14608, 14609, 14610, 14611, 14612, 14613?\n\"Answer: u + 14607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2734053 is divided by 295.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5\/4 - 3*s**4 - 14*s**3 - 63*s**2\/2 - 135*s\/4 - 27\/2.\nAnswer: -(s + 1)*(s + 2)*(s + 3)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1239 - 2173 - 2805*l**2 + 5061*l**2 with respect to l.\nAnswer: 4512*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 6*f - 3*f)*(-2 - 2*f + 2) - 2 + 2 + 2*f**2 + f**2 - 3*f**2 + 3*f**2 - 4 + 4 + 2*f**2 + (4*f**2 + f**2 - 4*f**2)*(0 - 2 + 4).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 16*s - 18*s + 12, z + 5*s + 3 = 0. What is the third biggest value in 4, -0.5, z, 1\/10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7))**(2\/7)\/(g**(2\/5)*g)**(4\/31))\/((g\/(g**(-1\/4)*g))**(-32))**(-33) assuming g is positive.\nAnswer: g**(-2007072\/7595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, b: 10, a: 1, y: 1, z: 3}. Give prob of picking 1 a, 2 b, and 1 g.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - 7 - 6*b - b + 3. Let h(t) = 4*t + 3. Let p = 16 - 19. What is p*g(x) - 4*h(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 180*j**2 + 218*j + 9. Let k(x) = -45*x**2 - 55*x - 2. Let i(o) = 9*k(o) + 2*q(o). Find the second derivative of i(m) wrt m.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 10*j - 24. Suppose -24 = -4*x - 3*r + j*r, -40 = -4*x + 5*r. Solve -l + 10 = 4*l, -x*m - 3*l = -16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five halves of a year?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvj when three letters picked without replacement from hvevewhj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11752000 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/8, -1\/3, -3\/8, -0.3?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*g**3 - 9*g**3 + 5*g**3.\nAnswer: 43*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2064 divide 314988795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + (-40)\/(-15))*-6. Let u(v) be the second derivative of -5\/4*v**4 - 3\/2*v**2 - 1\/6*v**3 - 3*v - o. What is the second derivative of u(r) wrt r?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*k = 190, -2*k - 6 = k. Put 3, d, -1 in decreasing order.\nAnswer: 3, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from gtpggggggrgtgypcgpt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 s when three letters picked without replacement from ddsssssdsdddsdsssdd.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -33\/4*y**4 - 9\/2*y**3 - 6*y**5 + 0 + 30*y + 0*y**2 - 8\/5*y**6. Determine j so that g(j) = 0.\nAnswer: -1, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*x = 71*x + 928. Sort 5, 4, 1, x in decreasing order.\nAnswer: x, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -2.43 (c) -0.11 (d) 0.2 (e) -8\/5 (f) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t + 5. Let c be w(-2). Let k(n) = n - 2. Let r(d) = -2*d + 4. What is c*k(m) - 4*r(m)?\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1821636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 13. Let v be r(15). Suppose -v*b - 2*b = 244. What is b rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-1 + 10\/4). Let s be (o\/(-4))\/(4\/(-16)). Let x = -1692 + 1700. Which is bigger: s or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 - -0.8. What is the second biggest value in -2\/19, 1, m?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2087.\nAnswer: 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-16))\/(6\/(-21)) + 2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 478722?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-3 + 4 - 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, l: 2, d: 7}. Give prob of sequence df.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 8*g**2 - 24*g.\nAnswer: 2*g*(g - 6)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 64. Suppose 2*q = -n + 5*n - u, -4*q = -4. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(4\/(-4)))\/14)\/(2\/(-4)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 18. Let a be 58\/8 - -2 - (-10)\/(-40). Which is bigger: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 15cb0b2?\nAnswer: 15cb0b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 + 3 - (8 - 2) - 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = 6*j - 7*y + 2, -4*y + 3 = 5*j. Sort j, 55, 5, 0 in increasing order.\nAnswer: j, 0, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002422173654 to 6 decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -65.9? (a) -1\/5 (b) 4 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(91) + sqrt(91) + -1*sqrt(91) - sqrt(91))*4 + sqrt(91))*2)\/((sqrt(210)\/(sqrt(24)\/sqrt(4)))\/sqrt(5)*-3))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 220 - 87. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 14. Let w be n(-10). Let k be (-12)\/(-14)*(-168)\/(-36). Find the third derivative of -15*m**k - 26 - 2*m**2 + 26 - 3*m**w wrt m.\nAnswer: -432*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 247 + -244. What is the second derivative of 41*c**3 - 53*c - 59*c**n + 93*c + 1 - 4*c**5 wrt c?\nAnswer: -80*c**3 - 108*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 8*s**4 + 2*s**2 + 2*s. Let c(g) = 17*g**4 + 5*g**2 + 5*g - 1. Let j(t) = -2*c(t) + 5*r(t). Differentiate j(w) wrt w.\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -119 + 79. Let a = g - -40.1. Let t = 30.4 + -7.4. What is the closest to a in t, -0.5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2 - 2*p + p**3 + p + 3. Let f(a) be the first derivative of 4*a**3\/3 + a**2\/2 - a + 3611. Calculate -f(t) - o(t).\nAnswer: -t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - o - 6. Let v = -1 - o. Suppose -4*h + 28 = 4*m, v*m = -2*h + 9 + 11. Solve -2*x = 5*r + 14, -12 = m*x + 3*x + r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqg when three letters picked without replacement from gtqq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65210?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-2\/9)))\/(q**(-17)\/q))\/(q\/(q\/q**5*q)*q*q**(-17\/5)\/q) assuming q is positive.\nAnswer: q**(773\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6208*z - 92616. Give r(15).\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -6. Suppose -o = -3*i + 2. Does 11 divide i + 1 + -1 + 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -73*n**2 + 16*n - 7. Let i(f) = 24*f**2 - 6*f + 2. Determine 8*i(d) + 3*m(d).\nAnswer: -27*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30700980 and 44319.\nAnswer: 337710780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2 + 7*l - 2. Let v(m) = m**2 - m + 1. Let p be (-1 + 8 - 10)*(-2)\/6. Suppose 2*b + 4 = 0, 2*b - 4 = 4*z - 32. Give p*h(r) + z*v(r).\nAnswer: 2*r**2 + r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -212, -758, -1826, -3590, -6224?\nAnswer: -9902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 0*g + 0 + g**2 - 31*g**3 - 1 - g + 0*g. Let q be h(-1). Let p(a) = 2*a**2 - 7*a + 4. Let x be p(4). What is the highest common divisor of q and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - ((23 + -73 - -45) + (7 - 0))) + 10.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10647, -10646, -10643, -10638, -10631, -10622, -10611?\nAnswer: -10598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 234777.54 and -243.\nAnswer: 234534.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148 and 925.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4ec9d0 (base 15) to base 12.\nAnswer: 1328836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 312*-31\nAnswer: -9672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/11 + 120*g**3 + 248300*g**2\/11 + 915000*g + 116281250\/11.\nAnswer: 2*(g + 25)**2*(g + 305)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o + 9. Let v(c) = -c + 4. Let l be 3*(4\/(-6) + 1). Let a be 45\/(-10)*(l + 1). Let i(w) = a*v(w) + 4*g(w). Let p(z) = -5*z**2. What is i(p(b))?\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -1) + (1 - -1). Let p be -8*((-4)\/(-8) - 1). Let m(h) = -5*h**2 + p*h**w + 2*h**2. Let v(a) = a**2. Determine v(m(n)).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17486 divided by -2?\nAnswer: -8743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 7*q**2 - 3*q - 9. Let g be u(6). List the prime factors of (130 - g)\/(1\/4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 2 + 107 + -50.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141 and 5875.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 768 + -800.1. Let m = n - 35.9. Which is the biggest value? (a) m (b) 0.5 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2112 = -7*z + 814. What are the prime factors of z?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 9:56 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 + -28. Suppose 107 = 4*c + z. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8753826900 to the nearest one million.\nAnswer: 8754000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*w - 6 = 0, -3*l - 7*w = -3*w + 6. Suppose 4*s + 4*q - 20 = 0, s - q + 11 = 4*s. Sort -3, s, l, -5 in descending order.\nAnswer: s, l, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 26663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/23 (b) 0.04 (c) 1\/4 (d) -24\/11 (e) -2\/13 (f) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**2 - 30*k**2 - 13*k**2 + 15*k**2.\nAnswer: -37*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44861*o**3 + o + 15093 with respect to o.\nAnswer: 134583*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634195045.\nAnswer: 5, 11, 257, 44867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -97\/104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4.660685*-0.3\nAnswer: -1.3982055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26\/59 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.704101148 - -1513.\nAnswer: 1505.295898852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3) + 2)**2 + (sqrt(63) + -2)**2.\nAnswer: -8*sqrt(7) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 840466 and 2253977.\nAnswer: 49587494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260641980?\nAnswer: 2, 3, 5, 23, 157, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4827 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*g + 40 + 15, 4*g - 5*c - 95 = 0. Solve m = 5*b + g, -2*m = -4*b - m - 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + -0.3. Let u = 12 - 14. Let b be (-1 - -2)\/(u\/(-2)). What is the nearest to 2 in b, z, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 840.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbuuubbubbu. What is prob of picking 2 b and 1 u?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -179*b**4*u + 186*b**3*u**2 + 102*b**3 - 5*b**2 + 2937439*b*u**2 wrt b.\nAnswer: -4296*b*u + 1116*u**2 + 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5 = 2*s, -22 = -3*x + x - 5*s. Let j(q) = 0*q**2 - 71*q**3 + x + q + 0*q**2. What is the units digit of j(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 13. Let f be s(-7). Find the third derivative of -5*t**6 + 9*t**6 - 5*t**f - 14*t**2 wrt t.\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317.6616 nanometers in centimeters?\nAnswer: 0.00003176616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 4. Suppose 3*n + 2240 = 17*n. Suppose -2*o + 713 = 5*x + 271, -i*x = 5*o - n. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*u = -7. Suppose 4*w - 7854 = -u*w. What is the common denominator of (-2107)\/w - (-3 + 1) and -101\/2?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 987 + 1461 = -10*n + 3*n + 55*n for n.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*j**3 - 109*j**3 + 30*j**3 + 25*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -327204948886 - -0.0955?\nAnswer: -327204948885.9045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19.55, 0.2, 4, -4\/5 in descending order.\nAnswer: 4, 0.2, -4\/5, -19.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - j + j)*(4*j**2 - 4*j**2 + 2*j**2) + (0*j - j**3 - 5*j**4 + 0*j)*(-2 + 0 - 5).\nAnswer: 39*j**4 + 7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**7\/j**(-1))\/(j\/j**(-1\/10)*j\/(j*j**(-1\/11))*j*j) assuming j is positive.\nAnswer: j**(529\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = -385 - 6279. Let a = k - -480. Solve 3*d = 3*z, 0 = -2*z - z + d - a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -430, 0.0498, 1, 0?\nAnswer: -430","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.01, -0.1, -207136, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.549 at least as big as -764529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-6)*72\/16. Let v(t) = -t**3 + t**2 + t + 4. What is v(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q**2 - 6*q. Let t(x) = -x**3 - 2*x**2. Let h be t(-1). Let n(m) = m**2 + m. Let r(s) = h*d(s) - 6*n(s). Let c(j) = -115*j. Calculate r(c(u)).\nAnswer: 13225*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -5, -548?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -13*x**2. Let p(f) be the first derivative of 107*f**2\/2 - f + 99. Give p(k(c)).\nAnswer: -1391*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 - -109. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 49*z**2 + 15*z + 4. Let v(n) = 11*n**2 + 2*n + 1. Calculate -f(w) + 5*v(w).\nAnswer: 6*w**2 - 5*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/1221 + -37831\/6105. Put 4, 5, 1\/3, x, -0.11 in decreasing order.\nAnswer: 5, 4, 1\/3, -0.11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -39, 3, 0 in descending order.\nAnswer: 5, 3, 0, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = -2*o - 531. Let d be (-2)\/(-5) + o\/10. List the prime factors of 88\/5 - (-21)\/d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 - -0.3. Let f = 44.8 + -49. Let t = -4 - f. Which is the third smallest value? (a) -2 (b) n (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 149, -3, -6051, 2 in descending order.\nAnswer: 149, 2, -3, -6051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001673 rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y + 0 - y - 3*y + 2. Suppose 41*f + 55 = 52*f. Give o(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3)\/u)\/u**(-7)*((((u*((u*(u*u**2)\/u)\/u)\/u)\/u)\/u)\/u)\/(u\/(u\/u**2)) assuming u is positive.\nAnswer: u**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**4 - 14*x**4 - 3*x**4 + (x**3 - 4*x**2 + 4*x**2)*(-4 + x + 4) as b*x**3 + j + a*x + g*x**4 + n*x**2 and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2048*l**2 - 12300*l. Give c(6).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11915, 20388, 34505, 54266, 79671, 110720, 147413?\nAnswer: 189750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/10*((-1584)\/(-440) + (-97)\/20)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400 a factor of 3442802060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -7 (c) -2\/9 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(((-8)\/52)\/(-2)). Let p(z) = -z**3 + 12*z**2 + 14*z - 7. Let b be p(o). What is the highest common factor of 66 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 3*w = -5*u + 4, -4*w = -8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 19*s**2 + 19*s - 13. Let v be y(18). Determine t, given that 1\/4*t**v + 0 + 1\/2*t**3 + 0*t**2 + 0*t + 3\/4*t**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.21, -4, -0.2?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001361 to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -1 + 2 + 3. Let y be 2 + -2 + d - 1. Solve y*g = -4*j - 2*g + 20, 3*j + 5 = 2*g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, -2\/11, 4, -40848 in ascending order.\nAnswer: -40848, -2\/11, -1\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 701 rounded to the nearest 10?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/11 - 2*-3. Which is the biggest value? (a) 5 (b) 2 (c) 0.08 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7078 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - z**2 - z**4)*(-1 + 2 + 1)*(2*z - 5*z + z + (2 + 2 - 5)*(2*z - 2*z - z)).\nAnswer: 2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0617*-70.\nAnswer: -4.319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -958 (base 12) to base 4\nAnswer: -111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -48025 (base 12) to base 14\nAnswer: -273c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41776, 83498, 125220?\nAnswer: 166942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m - 72. Let f(a) = -16*a - 168. Let t(l) = 6*f(l) - 14*q(l). Suppose 0*j + 4*j - 23 = 3*i, 2*j - 9 = -i. Let v(w) = 5 - j - 3*w. What is t(v(p))?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + 4c7966?\nAnswer: 4c7960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36533435647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720*l + 1794 = -681*l. Solve -83*a + l = 212 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7880 is divided by 108?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, u: 1, x: 8, f: 6}. Give prob of sequence qxf.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 235751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 2*x**3 - 3*x**3 - x - 2 + 0 + 3. Differentiate t(w) with respect to w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-1 - -5 - 5 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 1359*p - 2. Let s be g(-5). Let f = s - -12032. What are the prime factors of 8\/(-14) + 10\/(350\/f)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-48)\/1836)\/(2\/(-9)). Let b be (2 + 2\/(-4))\/(3\/(-10)). What is the nearest to 1 in 3, b, r, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 24, 60, 96, 132?\n\"Answer: 36*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 5:06 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 36 = -2*u + 43, 5*s = 2*u - 27 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16619100?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 9*o**2 + 5*o + 12. Let h be i(-8). Suppose 0 = -19*a + 59 + h. Put 1, -2, 9, a in increasing order.\nAnswer: -2, 1, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from {z: 3, u: 2, f: 4, l: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271877.\nAnswer: 61, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 2199.\nAnswer: 2\/2199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 224158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 11:26 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 347095 = 5*r, 10*y = 14*y - 5*r - 277670. What are the prime factors of y?\nAnswer: 5, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 27. Is a(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -104 in 3, 0.17, -2, -0.4, 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*y + 134*y + 91*y + 178*y - 88*y as a + f*y and give f.\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 68*l**2 + 81*l + 1. Determine o(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2861*p = -3*i + 2865*p - 33, 9 = 3*p for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*x + 15 = 48, -3*q + 19 = x. Let y = 6 - q. Let u(n) = 30*n - 508. Let i be u(17). Is i at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 - -163. Let m = h + -352. Let s = m - -267.000127. What is s rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -392 + 130981?\nAnswer: 130589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 323672258 divided by 3556838.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r**2*v + 55*r**2*y - 331*r*v - 23*v*y wrt y.\nAnswer: 55*r**2 - 23*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(3 + 2 - 6)*(27*o + 5417*o**2 - 33*o - 5419*o**2 - 862*o**4).\nAnswer: 862*o**4 + 2*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138 and 1293336?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/(-6)*(-5)\/(-20)*12. Solve y + r = 4, -2*r = -2*y + r + v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2807 - -1.7193. What is the nearest to p in 0.4, 0.3, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*b = 30*b - 6156. What is the greatest common factor of b and 549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 832999.2 millimeters in meters?\nAnswer: 832.9992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*p + 60*p - 214 - 166. Solve 5*w + 10 = -p*i, 3*i = 10*w - 8*w - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 16*a**2 - 5*a - 1. Let t be s(4). Suppose -2*y + 7*y - t = 5*x, -x + 41 = y. Suppose 0 = 5*f - 6*d + 3*d - 184, f - 3*d = y. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2336024333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o = 19*o + d + 10, -o - 3*d = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**4\/12 + z**3\/6 - 3*z**2\/2 + z. Let c be t(3). What is the units digit of 12*(c\/(-6) - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 13 = x, 0 = 2*x - x - 2*s - 7. Suppose x*o + 3*z - 108 = -0*z, -o + 24 = -2*z. Calculate the highest common divisor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (410\/5 + -1)*(-12)\/(-9). What is the greatest common divisor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**10\/240 - k**6\/8 + 2*k**3 + 18. Let d(o) be the third derivative of r(o). What is the third derivative of d(t) wrt t?\nAnswer: 2520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1)\/d)\/d)**(-10)*d**(-4\/3)*d**(1\/3)*d assuming d is positive.\nAnswer: d**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -5 - (-4 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55196 - -55199. Suppose 8\/9*d - 2\/3*d**2 + 2\/9*d**4 - 4\/9*d**c + 8\/9 = 0. What is d?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 - q**2 - 2*q + 2. Let s(f) = 2263*f**3 + 3*f**2 + 6*f - 6. Calculate -3*o(r) - s(r).\nAnswer: -2269*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 4*b - 13 = 0, -4*n + 2*b = 5*b - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Let l be -1 + 46*1\/k. Calculate the highest common factor of 55 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 893 and -7241.\nAnswer: -6348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(-7*c**5 + 14*c**2 - 14*c**2) - 115*c**3 + 11*c**5 + 115*c**3 + 3*c**5 - 2*c**2 - c**4 + c**4.\nAnswer: 7*c**5 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -19447 times -0.4\nAnswer: 7778.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173a (base 11) to base 15.\nAnswer: 9d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 10:12 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 980 and 15640?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 76\/3 (c) 4 (d) 0.4 (e) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1631*o - 1485*o + 47*o + 9*o as g + k*o and give k.\nAnswer: -3060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -1141340310?\nAnswer: 1141340302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + (-51)\/18)\/(4\/6). What is the second biggest value in -3\/2, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 22*s - 63. Determine v(-14).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**3\/3 + 1. Suppose -2*v + 18 = -5*s - 14, -4*v + 28 = -s. Let d(a) = 6 - v - a - 2*a. Determine y(d(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 - q**2 + 0*q**2 + q**2 - 7*q**2 - 5*q**2 + (-3*q + 5*q - 4*q)*(-q + q - 2*q).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 266 and 21.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120 or 3820712?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3296 - 6304. Sort l, 4, 3 in ascending order.\nAnswer: l, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*a**4 - 3*a**3 + 92*a - 2.\nAnswer: 636*a**2 - 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67170789 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 6. Suppose 0*l - 3 = c - l, 0 = -2*c - 3*l - 21. Let y(r) = 3*r**2 - 17. Give c*y(s) - 17*d(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnn when three letters picked without replacement from {m: 2, n: 3, r: 1, c: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 114, 167, 218, 267, 314, 359?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 7 - 4 + 45*k + 8*k - 24)*(10 - 7 + 19) to y + l*k and give l.\nAnswer: 1166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**5\/25 + v**4\/20 - v**3\/3 + 3*v**2\/10 + 20. Factor n(c).\nAnswer: c*(c - 1)**2*(c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 13. Let n be (2 - 0)*x\/18. Put n, 3, -0.2 in decreasing order.\nAnswer: 3, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r**3 - 10*r**2 + r - 4. Let b(a) = 26*a**3 - 29*a**2 + 3*a - 11. Let w(u) = -6*b(u) + 17*j(u). Suppose -2*v - 18*v = -40. Calculate w(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 11) to base 14\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3252, -3243, -3232, -3219, -3204, -3187?\nAnswer: -3168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*o - 5928 = -76*o + 22*o. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -17*j. Let y(n) = -1526323*n**2. Calculate y(f(q)).\nAnswer: -441107347*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 200*i**2 + 3*i + 6. Is 20 a factor of g(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 11*y - 6*y = 12, 3*y = 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z. Let k(l) be the second derivative of -1\/2*l**2 + 37\/6*l**3 + 79 + l. Determine t(k(x)).\nAnswer: -185*x + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1744 + 466 = -9*k. Suppose -16 = 7*x - k. Calculate the lowest common multiple of 6 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 2\/19, -2, -41, 0.1 in increasing order.\nAnswer: -41, -2, 0.1, 2\/19, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfafaaffatfaauaut. Give prob of picking 1 f and 1 a.\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5019077?\nAnswer: 7, 717011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n - 833 = -426. Which is the closest to 0.1? (a) 5 (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.35. Let k = 0.45 - h. Let g = 7 + -6. Which is the nearest to 1\/4? (a) g (b) k (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y = 24 - 86 + 41 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 233.419 + -233. Let z = t + -0.019. Which is the nearest to z? (a) 5 (b) -0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*b - 54449 = 0, -2120 = -a - 2*b + 11506. Suppose -4*w = 19*w - a. Calculate the highest common divisor of 37 and w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 13*s + 103 + 2*s - 103.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 + 83. Solve -v = 2*v + g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v. Let f(l) = -7*l + 3. Let g(k) = -48*k + 20. Let n(c) = 20*f(c) - 3*g(c). Give n(s(m)).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -315 - -314. Let y be 2\/6*11 - -1. Let l = y + -19\/3. Is l less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*j = 90 + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -16 + (19 - 8 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*h = -20. Let o be (-12)\/h*(-4 - -1). Let v = 15 + o. Which is greater: 7 or v?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33940 is divided by 16965.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 36*f**2 - 37*f + 91. Let j be l(35). Sort -5, j, 0, -1 in increasing order.\nAnswer: -5, -1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**4 + 5*p**3 + 52*p + 5. Let v(a) = a**4 - 2*a**3 - 26*a - 2. Let x(o) = -2*q(o) - 5*v(o). Find the second derivative of x(w) wrt w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 - (38 - 61) - -46?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, l: 3, a: 13}. What is prob of sequence arrl?\nAnswer: 13\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 i when three letters picked without replacement from {l: 1, i: 10, d: 1, v: 1}?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, d: 6, n: 3, t: 4}. Give prob of picking 2 t and 1 n.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 1, h: 2, q: 2, f: 4, i: 2}. What is prob of sequence on?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 250572 at least 230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -61*f + 249. Let t be y(4). Suppose 5*d = -o + 210, -10*d = -t*o - 5*d + 1140. What is the highest common factor of o and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2\/23 - 618628*q\/23 + 47837575298\/23 = 0. What is q?\nAnswer: 154657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2890259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Suppose 2*s = -v*n + 146, 6*n - 4*s = n + 374. Is 37 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*q**2 + 6*q**4 - 11*q**2)*((-1 + 3 - 1)*(-1 + 2 + 1) + 8 - 11 + 6).\nAnswer: 30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 5155*x**2 + 5150*x.\nAnswer: 5*x*(x - 1030)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -30 - -23 - (2 + -11). Let u be ((-8)\/(-10))\/(3\/15). Let y = -6 + 12. Solve -h*a = 4*l - y - 8, 3 = 3*l + u*a for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/72 and -20\/173457.\nAnswer: 1387656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2038 is divided by 482?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4553*h - 102*h - 4465*h.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((1 - 0) + (1 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6855*z - 178233. Give h(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 111.2.\nAnswer: 130.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3248980639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*k - 24 - 14*k + 4*k wrt k?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5241\/13976)\/((-3)\/(-392)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: (46*180\/11040)\/((-6)\/(-28))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36122 + -21472. Is f a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -9*n - y + 67, -4*y = -2*n + 40. What is the lowest common multiple of n and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - -4)\/(-2) + 2. Let j be r + 6\/(-3) - -15. Let o be (-27)\/(-6)*8\/j. Solve 8*t = o*t + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1297758478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*k + 451*k = 3*i, 2*k = -2*k - i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14634*d**3 - 54101*d**2 wrt d?\nAnswer: -87804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13013 and 286?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(60\/(-72))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 77806717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 183687831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t = 2*j - 94, 38595 = 4*j + 5*t + 38550 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f - 4. Let m be x(4). Suppose -p = -8 - m. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 + 2*g**2 - 3*g. Suppose -m + 7 = -3*p, 5*m + 2*p + p - 17 = 0. Suppose -4 = m*d + 16. Let s(a) = -a**3 - a**2 + a. Determine d*s(t) - 2*z(t).\nAnswer: t**3 + t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 1 - ((-30 - (21 - 9)) + 2).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/((g*g\/g**(-5))\/g)))\/g*g*g*g**(-5))\/(g*g**1*g)**16 assuming g is positive.\nAnswer: g**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ushssjzzusuhuususjz. What is prob of sequence ju?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 1. Let y(m) = 3*m + 1. Let x(v) = -3*v - 1. Let d(h) = -3*x(h) - 4*y(h). What is d(t) - 2*r(t)?\nAnswer: -5*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62 + 93. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*t - 2*t. Suppose 0 = -3*o - t*k + 9, -o + 6 = o - 3*k. Suppose 0 = -4*g + s - 8, -o*s + 21 = -5*g + s. Let w(r) = -7*r**2 + 1. Calculate w(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51732 is divided by 168?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 19*i - 30030. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 843 + -403. Let s = -77 - -117. Calculate the highest common divisor of n and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -657546144 + -1139.\nAnswer: -657547283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 792\/(-90) + -12*(-3)\/4.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-748))\/((-204)\/1122).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.179 to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 11:58 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -6\/11, -24, -32, -9 in increasing order.\nAnswer: -32, -24, -9, -5, -1, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjzjjlnlllzl. What is prob of sequence zjn?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 3*u - 20. Let g be ((-10)\/12)\/(40\/(-72)). Which is the third smallest value? (a) g (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 4*c + 6. Let i be k(-4). Suppose -270 = 4*j - 5*j. Suppose 3*y = i*y - j. Calculate the greatest common divisor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = n - 3, n - 4 = 2*d. Suppose -53*x - 22 = -22. Solve x = -w - d + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (270\/(-12))\/(((112\/(-7))\/96)\/((-5)\/15))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 4*k**2 - 3*k + 3. Let m be q(3). Suppose -3*j + 15 = 2*j. Determine s, given that 4*s**2 + s - m*s + 2*s**3 - 4*s**j = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a day in minutes?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2560) + 4*sqrt(2560)*-3)*-3)\/(sqrt(392) + (4*sqrt(392) - sqrt(392)) + sqrt(40)\/(-3*sqrt(5))))**2.\nAnswer: 3136320\/6889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z - 2. Is 6 a factor of o(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006691 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -444315 + 3?\nAnswer: -444312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2 + 144*i - 296 = 0.\nAnswer: -74, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 - 30*s**2 + 2*s - 34. Let a be r(15). Let d = -5 - -5.4. Let n = 1.6 + d. What is the nearest to 1 in -1, a, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, b: 1, v: 3, t: 3}. What is prob of picking 2 t and 1 v?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**4 - 358*v**3\/3 - 611*v**2\/3 + 718*v\/3 + 968\/3 = 0.\nAnswer: -2, -1, 4\/3, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-10 + 1 + 1). Let r = v + -4. Let z be r + 3 - 2 - 0. Solve a - 2*x = -6, 5*x - 21 = z*a + a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**2 + 5*x**2 + 6*x**2 - 17*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 b when four letters picked without replacement from obooobo.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -3*(2 - (4 + 1)) and (-2 - 0)*(-16 - (-75)\/30).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -9*c**2 - 70*c + 18. Let u be s(-8). Solve 5*i - 5*t - 25 = 0, -3*t = -i - 5*t + u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62608 and 128648?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/12)\/((-17)\/544).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 2*y + (-1 - 3 + 2)*(-y + 4*y - 4*y) + 4*y + y - 3*y + (0 + 0 + 3*y)*(0 + 7 + 5) + (0 - 4 + 2)*(0*y + 5*y - 2*y).\nAnswer: 32*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 11:35 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 3:30 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3735 + 7617. Is o a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 84*h + 68. Let i be 12\/28 + 160\/35. Let f be l(i). What is the highest common factor of f and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-114) + 696\/114. Suppose x - j = -5*x. What is the smallest common multiple of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*t - 20*t = 78. Solve -9 = t*p + 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*w**4 + w**3 - 156*w**2 - w - 10034082 with respect to w.\nAnswer: 12*w**3 + 3*w**2 - 312*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2555652.\nAnswer: 2, 3, 11, 19, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42874 and 6948886?\nAnswer: 3298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**3 + 13*b - 18*b + 2*b + 2*b**2 + (36*b - 141*b + 63*b + (-4 + 4 + 2)*(3*b + 4 - 4))*(b - b + 3*b**2).\nAnswer: -112*b**3 + 2*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -21.2. Let c = -67 - d. Let t = c + 93.1. What is t rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 108536022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -1. Let v = 3.2 - d. Let k = -0.800003 - v. What is k rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 707 and 3982228?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*i + 891 = 85*i. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqhhhhochcoohqhhchhh. Give prob of sequence choo.\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, q: 3}. What is prob of sequence cc?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 47*m**3 - 8*m**2 - 35*m + 8. Let y(x) = -16*x**3 + 3*x**2 + 12*x - 3. Let g(i) = 3*a(i) + 8*y(i). What is the second derivative of g(r) wrt r?\nAnswer: 78*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)\/sqrt(5) - sqrt(2)) + sqrt(2) - sqrt(2))*4 - (0 + (sqrt(2) - (1 + sqrt(2)))**2 - sqrt(2)).\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 25 = 4*m. Suppose 0 = -5*q - 5*g - m, 5*q + g = -0*g + 7. Let u(b) = -b**3 + b**2 - 1. Let s(r) = -r**3 - 2*r**2 + r + 2. Determine q*u(n) + s(n).\nAnswer: -3*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 606 - 604. Let b(c) be the first derivative of 0*c - 1\/4*c**4 + 9 - 5\/2*c**h + 0*c**3. Find the second derivative of b(q) wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.098885 - -163912.\nAnswer: 163915.098885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -0.4, 115, -2\/3, 0.09?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -278*c**3*u**2 - 2*c**3*u + 121*c**3 + c**2*u - 2*c**2 - 1968*c*u - 2*c + u**2 wrt c?\nAnswer: -1668*u**2 - 12*u + 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -4 + -3 + 8 + (6 - 0)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1609 by 5.\nAnswer: -1609\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 0)\/(2\/(-13)). Let l = -26 + k. Suppose 679996 = u - l*u + 2*n, 5*n - 1359990 = -2*u. What is u rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15880494?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 83 + 13676343?\nAnswer: 13676436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 658.927 grams to milligrams.\nAnswer: 658927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*a + 4. Calculate the remainder when 8 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4764847\/338 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28957256294 - 28957256589.00000242. Let u = g + 295. What is u rounded to 7 decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/41 and -6594 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3874 at most as big as 3855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1831, -109, 2761, 6779, 11945, 18259?\nAnswer: 25721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82022077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102212021111000 + -11?\nAnswer: -102212021111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-5)*(10 + 0). Let q = 16 + -16.06. Let s = -0.94 + q. What is the third biggest value in s, -1\/8, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (20 - (-10 - -20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -5. Suppose -v = -2, 2*x - 4*v = -3*x + 52. Calculate the remainder when (264\/d)\/(-2) + 3 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 28189396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 0*y + 90. Suppose m = -2*m + 378. What is the highest common divisor of m and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 9*h + 3. Let z be u(-7). Let g = z + -9. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 15) to base 5.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -45320, 5, 1 in increasing order.\nAnswer: -45320, -5, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -k - k + 3, -k - 4 = -3*n. Put -3, n, 0 in increasing order.\nAnswer: -3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 53*k**2 - 278*k - 122. Calculate the remainder when 183 - 1 - (-3)\/1 is divided by t(47).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p + 49. Let r be (-28)\/(-5)*(85\/10 + -11). Determine l(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 3, 19, 41, 69, 103?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 944, -5, -0.1 in ascending order.\nAnswer: -5, -0.1, 944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15406275, 15406274, 15406273, 15406272?\nAnswer: 15406271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9593 - 56150 + 9017 - 10579 = 1923*l for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54677 is divided by 3175.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 6*c + 20. Let u = 29 - 37. Let w be z(u). Solve 2*k = -w*i + 30, 4*k + 4 = 2*i + 14 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*r + 20*r - 18*r as k*r + t and give k.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**2\/3 + 148*f - 7832\/3 = 0. What is f?\nAnswer: 22, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l + 5. Determine r(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**3 - w**2 - w + 1. Suppose 11*p - 83 = -3*m + 9*p, -3*m - 3*p = -78. Suppose m*c - 18*c = 13. Give t(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31809 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 27*c**2.\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -109*b - 1554. List the prime factors of o(-48).\nAnswer: 2, 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -19, -85, -207, -403, -691?\nAnswer: -1089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 8:59 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**3\/2 - 63*a**2 + 117*a\/2 + 123 = 0. Calculate a.\nAnswer: -1, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186 divided by 31.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86306.\nAnswer: 2, 11, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(2\/2) - -1. Let q = 4 + -6. Let i = q - -6. Solve -2 = -l + 2*v + s, 0 = i*l + 3*v + 21 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 8:31 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + -111)*(-1 + 5518\/4800). Let z = r + 9\/400. Calculate the common denominator of -52\/21 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 o when four letters picked without replacement from {o: 4, h: 2, n: 3, b: 3, t: 2, j: 4}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -82 + 2*r - 3*r + 79 - 5*r**2. Let f(s) = -6*s**2 - s - 4. Give -3*f(t) + 4*v(t).\nAnswer: -2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 0*u**5 + 0 + 6*u + 0*u**2 + 1\/2*u**4 + 0*u**3 - 1\/15*u**6. What is the third derivative of x(d) wrt d?\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfyyfffyyfyyyyyy. Give prob of sequence yfy.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21682869 divided by 1667913.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*u + 530 - 820. Calculate the remainder when 3194 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 2*m - m)*(-4*m**4 + 0*m**4 + 3*m**4) - 716*m**2 + 2*m**4 + 716*m**2 + 5*m**5 + (2*m + 2*m - 2*m)*(5*m**4 + 9*m**4 - 5*m**4).\nAnswer: 21*m**5 + 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 680 and 440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14371 is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2320 and 101680.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -20, -3, 445, 180.\nAnswer: -20, -3, 1, 180, 445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 - 2.47. Let y = 3581.453 + -3579. Let v = y + w. What is v rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296150334 divided by -3?\nAnswer: -98716778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -311462 by 2145.\nAnswer: -311462\/2145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**(-32)\/w))\/w*w**(11\/5)*w*w*w)\/(w**(-6\/7)\/(w\/(w*w*w\/w**(-15)))))**(-9\/7) assuming w is positive.\nAnswer: w**(-6948\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3 = -m, -4*m = -2*k + m + 9. Is k\/(2 + 0) - (-116196)\/69 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 7:58 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, -3.5, 1\/24?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, v: 4, f: 4, o: 3, g: 1}. What is prob of picking 1 v and 1 o?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626056329?\nAnswer: 3, 5683, 36721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, i: 6}. What is prob of picking 2 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6153660 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -35.55. Let t = g - -0.15. What is t rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10789*j**2 - 21297*j**2 + 10511*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 15. Suppose 20 = 4*c + b. Suppose -6 - c = -5*i. Which is smaller: i or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -21 + 14 + -9 + -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 + 2*w - 1. Let x(a) = -a**3 - 4*a**2 + 4*a - 2. What is -5*j(h) + 2*x(h)?\nAnswer: -2*h**3 + 2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2308 + 2312. Let p(b) be the first derivative of -4\/5*b**5 + 0*b + 0*b**4 - v*b**2 + 1 + 4*b**3. Determine n so that p(n) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -8*v - 23. Suppose 13*s - 10*s = 0. Suppose -12 = u - 4*d, s = u - 2*d - 0*d + 12. What are the prime factors of b(u)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-19)\/(-45) - 10\/50) + (-106)\/477. Let m(s) = s**2 + s - 17. Determine m(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 53*f - 52*f - 13, -5*f - 1 = 3*a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*y + 7391 = -14301. Let r = y + 642. Solve s - 5*a + 20 = 2*s, 0 = r*a - 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2479261718 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3\/x)**(-2\/67)\/((x\/(x*x*x*x\/x**(8\/7)*x))\/(x*x\/x**8*x)) assuming x is positive.\nAnswer: x**(-1033\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7293 and 2838?\nAnswer: 627198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108 (base 14) to base 8.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2\/8 - 243\/(-54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3611, 29441, 99651, 236435, 461987, 798501, 1268171?\n\"Answer: 3699*b**3 - 4*b**2 - 51*b - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-6*sqrt(176)\/sqrt(4)*-1)\/((sqrt(8) - -4*sqrt(24)\/sqrt(3))\/(sqrt(2)*1*-6)).\nAnswer: -36*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74913002 is divided by 319.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4359095252 to the power of 1\/2, to the nearest integer?\nAnswer: 66023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 6:13 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -674 (base 16) to base 13\nAnswer: -9a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*n, -3*n - 275 = -4*h - 322 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/14*(49\/35)\/(-1)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/18605 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9 less than -1144545922312?\nAnswer: -1144545922309.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 7. Let b be n(5). Let a be 3*-10*b\/6. Is (-1148)\/(-35) + (-2)\/a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 11:10 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3232*f**3*r**3 - f**3*r - 2*f**2*r**3 - 704*f*r**2 - 2*r**3 wrt f?\nAnswer: -19392*f*r**3 - 6*f*r - 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0 = -p + 4, -3*o = -3*p + 21. Let m = 1.96 + -2.1. Let y = m - 0.16. Put -4\/7, p, y, 2\/7 in increasing order.\nAnswer: -4\/7, y, 2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78959805313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -5*m + 4*a + 31, -3*a = 5*m - 115. Let p(t) = t**2 - 20*t - 71. Let b be p(m). Put 6, 1, b, -5 in descending order.\nAnswer: 6, 1, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 5*i + 12)*(2*i - 4 + 4) + i**2 + 2*i**2 - i**2 - i**2 - 4 + 4 + 2*i**2 - 2*i**2 - 13*i**2 as t*i**2 + b*i + v and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**2 + 2*v. Let s be 20\/3*(-9)\/(-12). Suppose 7 = -s*g - 3. What is the tens digit of u(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 9:53 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 371078 smaller than 392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27 - 3396?\nAnswer: -33bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15004.69 and 297.34.\nAnswer: -14707.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 52\/133 (b) 4 (c) -2\/29 (d) -3 (e) 3 (f) -0.2 (g) -26\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -403.5 less than -5037.4614?\nAnswer: -4633.9614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 3428*o + 463418. What is m(-141)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 8*p - 3. Let t be b(-9). Let l(i) = -i**3 + 5*i**2 + 6*i - 2. Calculate l(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 2 - (-2 - -1). Suppose 4*o - 8425 = -5*h, -h - 2*o = -q*o - 1685. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 13*z - 33 = 0. Suppose -3*i = -l + 6*l - z, 2*l = 3*i - 4. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(190) - sqrt(190)*-1))\/(1*sqrt(10)*2).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fm when two letters picked without replacement from {m: 1, b: 6, f: 7, k: 4}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2*n**2 + 0*n**2 - 691*n + n**2 - 6.\nAnswer: 3*n**2 - 691*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 8*q**2 - 7*q + 8. Let n be u(-8). Suppose 4*f = n + 372. Suppose f = 3*p - 146. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 0*y = 13. Suppose 4*p + 13 - y = 5*h, 12 = -4*p. Let o be (-15)\/20 - (-6)\/16. Which is the second biggest value? (a) -3\/7 (b) h (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*y + 12, 4 = 3*v - 0*v + y. Let a(j) = -j - 4. Let u(m) = 1. Let q(h) = 1. Let f(l) = -6*q(l) + 5*u(l). Determine v*f(t) - a(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.4573 and -24?\nAnswer: 370.9752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 4:00 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 - 16*k + 27. Calculate the lowest common multiple of l(8) and 15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 23*u**2 - u. Let f be i(-23). Let h be 159\/7 - 6\/(-21). Calculate the greatest common divisor of f and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -2a53?\nAnswer: -2a56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.063 and -2420815?\nAnswer: 152511.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/3 - 10752*k - 32255\/3 = 0 for k.\nAnswer: -32255, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2418691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 3755*o**4\/6 + o**3\/3 + o**2 + o. Let n be m(-2). Suppose -12762 = -4*q + n. What is q rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + -5 + (2281 - 3). Suppose -u - g = 3*u. What is the units digit of -1*(-12)\/8 + u\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j**2 + 752 + 10*j**2 + 5*j**2 - 752. Let a(b) = 4*b + 6. Let i(g) = 3*g + 5. Let y(v) = 5*a(v) - 6*i(v). Determine r(y(w)).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 14*n + 5*n = -76, -2*p = 4*n + 16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 667831202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 520, 1038, 1556?\nAnswer: 2074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 68 - 2. Are -23 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680 is divided by 672\/(-448)*(1045\/(-12) + (-2)\/8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23518705 and 5298?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*n + c + 14, -4*c + 4 = -4*n. Suppose r - 10 = -m + 264, n*m + 269 = r. Calculate the remainder when r is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 34748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 28 times 0.0128\nAnswer: 0.3584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 483.3 to the nearest ten.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20232, 20172, 20066, 19908, 19692, 19412?\nAnswer: 19062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266106798 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/4*3\/(15\/10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 48 - 182. Calculate the remainder when 2\/10 + u\/5 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 - 899 = -9*r. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0 = -2. Suppose q = -h + 4*n, -10 = -4*h - 3*n + n. Solve 15 = 3*a + h*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 7:20 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**3 + 96939*a**2 + 632*a - 357 wrt a.\nAnswer: 18*a + 193878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 2. Suppose 4*a - o - 6 = 0. Find the first derivative of 0*k**a - 2*k**3 + 4 - 10 - 4*k**3 wrt k.\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (5 + -9 + 8 + -12 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 5. Let p(i) be the first derivative of i**2 - 57. What is k(p(u))?\nAnswer: -2*u + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.3 + 76.3. Let s = 23.4 - r. What is s rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12017\/8728 - -2\/1091. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 269*r**2 - 246*r - 1024. What is the remainder when g(-4) is divided by 214?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.57 - -0.07. What is the third biggest value in n, -7, 0.1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1626 is divided by 636.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105898 by 52949.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 3 - 5*v**2 - 4 + 4 + 6 - 7*v. Let b = 83 + -83. Suppose w = -b + 6. Determine x(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 44. Let t be (-742)\/8 - -1*15\/a. Calculate the remainder when 67 is divided by 106\/6 - (t\/(-12) - 7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, -8894, -2\/3, 8\/9 in decreasing order.\nAnswer: 8\/9, -2\/3, -1, -8, -8894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1030 divide 963057599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*d - 42*d - 1782026 + 1778986 = 0 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -17*f + 9. Let i be b(7). Let n = i + 309. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2726081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**3 + 1\/2*n**6 - 3 + 0*n**5 + 0*n + 0*n**2 + 0*n**4. Find the third derivative of v(m) wrt m.\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4211\/690 - 204\/23. What is the common denominator of 23 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 609.0275 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -26*r + 13. Let j(z) = 2*z. Give j(n(t)).\nAnswer: -52*t + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(300) + sqrt(300) + 1) - sqrt(300)) + ((sqrt(12)*1)\/sqrt(4)*1)**2)*5.\nAnswer: -150*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uidtitdjdiitt. Give prob of picking 1 d and 1 j.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 13 - 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 49, -2\/153, 0.5, 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**5\/20 + i**4\/3 - i**3 + 2*i**2 - 115*i. Let r be n(2). Put r, 8, -6 in increasing order.\nAnswer: -6, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, w: 1, m: 2, c: 10, h: 3, u: 1}. What is prob of sequence wcu?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -70*t - 697. Let o be m(-10). Put o, -5, -11, -3 in increasing order.\nAnswer: -11, -5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7*j**2 - 21*j - 35. Let b(v) = -3*v**2 + 10*v + 19. Let u(r) = 11*b(r) + 6*m(r). Suppose -4*q + 8*q - 20 = 0. Is 18 a factor of u(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23283, 46602, 69921, 93240, 116559?\n\"Answer: 23319*f - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*w - 9*w - 82 + 76)*(-2*w**2 + 4*w**2 - w**2) to the form x*w**2 + p + b*w + y*w**3 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7131, 27711, 61879, 109635, 170979, 245911, 334431?\nAnswer: 436539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from xvxvbvvvvggvvvxv.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.1 and -137.3.\nAnswer: -288.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2766, 2706, 2602, 2454, 2262, 2026, 1746?\n\"Answer: -22*i**2 + 6*i + 2782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 920 and 260710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/10, -2\/11, 19, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ueuceecu. Give prob of sequence cuue.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*x + 5*x + 272. Let o = 49 + -27. What is the smallest common multiple of x and o?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + 0*h - 5*h)*(-h + 2*h + h)*(-h - 4*h - 4*h).\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 21596 = 5*d, -2*d - 3*l + 4*l + 8628 = 0. What is the thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/((-1)\/3) + -5)*-1. Which is the smallest value? (a) d (b) 3\/4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -5 (c) 28174358\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*l - 3 = 3*z - 207*l, -3*z + 9 = -l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83988\/5 + -16798. What is the closest to -4 in -62, 0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - ((-831)\/3258 - (-2)\/12). Let t = 11775\/3982 + r. What is the common denominator of t and -99\/236?\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 177*g - 8217. Determine f(-81).\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/15)\/((r*r**2)\/r) assuming r is positive.\nAnswer: r**(-28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1, 0.5, 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - -10101101110111?\nAnswer: 10101101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 97, -8, -529 in ascending order.\nAnswer: -529, -8, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/10)\/((-69)\/92)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 183172 and 47784?\nAnswer: 1099032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -65559.7 to the nearest one hundred.\nAnswer: -65600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/7*m**2 - 32\/7*m - 128\/7 = 0 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - n - n)*(207*n**2 - 35*n**2 + 230*n**2)*(-181*n + 184*n - 3 - 2) in the form x + g*n**4 + a*n**3 + v*n**2 + h*n and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -320171 > -320175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/180 and 103\/24.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140, -139, -138, -137, -136?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/40 - 17\/120. Put 3, 1\/6, n in decreasing order.\nAnswer: 3, 1\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 3\/22 (c) 83713\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -95*g**3\/6 + 5*g**2\/2 + 50*g. What is the units digit of c(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b - 4. Calculate the remainder when 11 is divided by o(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 5*s**2 - 3*s**2 + 0*s**2. Let p(f) be the third derivative of f**4\/12 + 2*f**2. Calculate p(j(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-639)\/(-1674) - (-2)\/(-6). Is 0 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -488 at most as big as -488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67 and 113.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 930.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 4\/5, 0.3, -208, 5, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/5)\/(69\/(276\/8))?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -9 + (4 - (-2 - (2 - 3))) + 10245?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*p**2 + 0 - p**2 + p**2 + 2*p**2 + (-4*p**2 + p**2 + 2*p**2)*(-2 + 0 - 2) + p**2 - 4*p**2 + 2*p**2 + (-3 + p + 3)*(0 + 0 - 2*p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 834425558 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: Rearrange (-4*c + 2*c - 2*c)*(2*c**3 + 2*c**3 - 5*c**3) + (3*c**3 + 3*c**3 - 4*c**3)*(1 - c - 1) to the form t + r*c + y*c**3 + s*c**4 + i*c**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13858*d*i - d - i + 14957 wrt d?\nAnswer: -13858*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + t + 146 + 167.\nAnswer: t + 224","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -227, 12\/7, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/5 = -7276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 10 = 2*k, 3 = -2*k + 2*i - 11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q - 4*q - 6*q + (2*q - 4*q + q)*(4 - 2 + 0).\nAnswer: -17*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1056 = g, 125*u - g + 792 = 128*u. Calculate the least common multiple of 192 and u.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a week in minutes?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78900 = -5*v + 8*v. Let r be (v\/6)\/(12\/72). Round r to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26226 + -15483. Does 107 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4291998 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11056, 21661, 32262, 42859, 53452, 64041?\n\"Answer: -2*i**2 + 10611*i + 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/333 and -28\/175815?\nAnswer: 6505155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 8:22 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 n, and 1 t when three letters picked without replacement from wnnt.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1853502*z**2 - 101567549.\nAnswer: -3707004*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(19) + 1)**2 + -3 - sqrt(228)\/sqrt(108)*-2.\nAnswer: 8*sqrt(19)\/3 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4163366 to the nearest integer?\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6024, -6025, -6026, -6027, -6028?\n\"Answer: -f - 6023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-2\/17)\/k))\/(k**(1\/14)\/k)*(k**(-12\/5))**(7\/5) assuming k is positive.\nAnswer: k**(-1867\/5950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 8 (c) -0.77 (d) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 1, 1\/2, -22475\/4, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, o: 1, r: 1, g: 1, j: 1}. What is prob of sequence gjy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.9 + 4.2. Let n = -16.7 - s. Which is the smallest value? (a) 98 (b) -0.1 (c) n (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114268 divided by -44\nAnswer: 2597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4495 by 30.\nAnswer: -899\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0*t**3 - 1 - t**3 - 4*t**3 to s + f*t**2 + o*t**3 + j*t and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2315024690 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7161)\/(-434)*8\/6. Solve w*p + 236 = 214 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j + 138 - 66. Let k(f) = -f**2 + 8*f + 245. Let m be k(j). Solve m*n = 5*z + 2 - 17, 27 = n + 5*z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r + 6*r + 5*r - 19*r as a*r + l and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*1\/(-1) - (2 - 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215048 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 238 = 32. Suppose -2*w + 2*p = -16, 3*p + 17 = w + 3. Let n be (-13)\/(-6 + 5) + w. What is the greatest common divisor of r and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*c + 2*c + 62 = 0. Factor -c + 9\/2*b**2 + 7\/2*b.\nAnswer: (b + 1)*(9*b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n - 3. Let c be m(-3). Let j(k) = -k**3 - 8*k**2 - 7*k. Let w be j(-7). Solve 0 = -4*x + 3*i - c*i + 19, 4*x - 5*i + 21 = w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1236\/1260*7 - 2\/(-6).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23.53 + 2.33. Let l = b + 18. Let a = -3 - l. What is the closest to 1\/3 in a, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15296 - -15296. Solve 30*q + 43 - 133 = k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -250.\nAnswer: -3\/250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 - -16. Let i = q + -127. Calculate the greatest common divisor of i and 192.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37\/(-7) - -6) + 58124\/(-847) + 6\/(-66).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69393838*0.7.\nAnswer: -48575686.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + 0. Let q = 0.98 + -0.18. Let y = q + 1.2. Which is the biggest value? (a) y (b) 2\/11 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19 (b) -46 (c) -0.746 (d) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 12*d**2 + 12*d - 4. Let i be r(11). Suppose u = -5*w - i, -5*u - 2*w - 7 = -6*u. Solve 3*t - 23 = 4*y, -2*t + 10 = -u*y - 6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 375.\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 155 + 131 = 0. Solve 10*n = l + x*n - 6, -4*l - 3*n = 31 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2489.\nAnswer: 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -4 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2277 is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 125430613 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 + 420.\nAnswer: 420.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q. Let t = 234 + -227. Let i(c) = 7*c + 5*c**2 - t*c + 9*c**2. Determine i(y(u)).\nAnswer: 126*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, g: 4}. What is prob of sequence gg?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8852 by 4.\nAnswer: 2213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 7:44 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/9 (b) 0.09 (c) -4 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.92641 years in decades?\nAnswer: 8.892641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2228641 to 2 decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241 = -31*t + 272 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4 + 249*a**3 - 1194*a**2 + 1884*a - 936.\nAnswer: -3*(a - 78)*(a - 2)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -99 + (-197)\/(10441\/(-1484)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 10*v**2 + v**3 + 8*v**2 + 15*v - 9*v**2 + 5*v**2 + 22. Let j be p(-13). Let k(u) = -u**3 - 5*u**2 - 5*u - 6. Determine k(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2424 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**4 - 2*q**3 + 15*q**2 + 1243*q + 302525 with respect to q.\nAnswer: -8*q**3 - 6*q**2 + 30*q + 1243","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1054 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -10, -1165806, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r = 4*w - 134, 5*w = 4*r + 262. Let a(y) = -11*y + 2. Let p be a(6). Are r and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = -5*l - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3007501874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (5576*z + 77*z**3 - 5576*z)*(3*z - z - 4*z)*(0 + 1 - 7) as r*z**4 + g*z + v + t*z**2 + n*z**3 and give r.\nAnswer: 924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-219)\/315 - ((-1070)\/210 - -5))*-6?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 17 + 57. Suppose -151 = -o - 11. Calculate the greatest common factor of o and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2516.81 + 2527. Is -2\/7 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -2. Suppose -2*h + 2*p = -3*p - 55, -o*p + 5 = h. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 + 16*w**3 - 14*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (27 - 77) + 13.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7640.097km to millimeters.\nAnswer: 7640097000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 44*c**3 + 3*c**2 - 4*c + 3. Let q(z) = -2*z**3 - z**2 + z. Determine 4*q(l) + x(l).\nAnswer: 36*l**3 - l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 5*c**2 - 6*c - 3. Let n be l(-4). Suppose -3*y - 4*f = -n, -5*y + 0*f + 69 = 3*f. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9625 - 96149\/10. Calculate the common denominator of z and (-6)\/8 + 903\/28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 4*j + 528, 4*q + j - 634 = -109. Suppose -3*b + k + 65 = 0, 4*k - q = -5*b - 0*k. Suppose -13 = 3*o + b. Is -11 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(42))\/sqrt(6))**2 + (-3*sqrt(21)\/sqrt(3) - sqrt(7)) + (1*sqrt(9072) + sqrt(9072))\/(sqrt(9) + 2*sqrt(441)).\nAnswer: -12*sqrt(7)\/5 + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 2\/3, -0.8, 0 in ascending order.\nAnswer: -20, -0.8, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 0, -6, 3, 9, 72 in decreasing order.\nAnswer: 72, 20, 9, 3, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (336\/10)\/((-243)\/405)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0.5, 23, -20, -0.5 in ascending order.\nAnswer: -20, -2\/3, -0.5, 0.5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**2 - 9*t + 1. Let r be m(-2). Let v = -11.85 + 12. Let d = -0.15 + v. What is the nearest to d in -5, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25384.47876 + -25385. Let m = -1.22158 - y. Let d = -0.7 - m. What is d rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -8.4?\nAnswer: -0.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -26.9.\nAnswer: -80.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 + 3*k**2 + 185 - 185.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r**2 + 1. Let s(v) = -v**3 - v**2 - 1. Let i be s(-1). Calculate o(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = 21*s - 26*s. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27686479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from qhhhqqqo?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f**5 - 148*f**4 + 316*f**3 - 44*f**2 - 384*f + 144 = 0. What is f?\nAnswer: -1, 2\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - -118519?\nAnswer: 118511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + 14 = 5*g, 1257*g - 11 = 2*i + 1258*g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -31134*m. Let z(l) = -55*l - 8. Calculate z(d(c)).\nAnswer: 1712370*c - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 23, 3, 1499, 1 in decreasing order.\nAnswer: 1499, 23, 3, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107 - -119. Suppose 24 = 2*v - m. Let w be 2 + 0\/(-3) + 0. What is the greatest common divisor of w and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2, 9, -7, -96 in decreasing order.\nAnswer: 18, 9, -2, -7, -96","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Divide 4743991 by 294.\nAnswer: 677713\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 = -3*y + 4*y, -4*c = 5*y + 8. Let n = -2 - -3. Let s = -3 - -3. Solve s = -2*l, o + l = n - c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -106103, -106096, -106091, -106088, -106087, -106088, -106091?\n\"Answer: -v**2 + 10*v - 106112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u + 38 - 17. Sort u, 1, -1, -6 in decreasing order.\nAnswer: 1, -1, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.37 or -918?\nAnswer: -918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 822118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in -2\/15, -18355, 3, -3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7250, -8587, -9926, -11267?\n\"Answer: -w**2 - 1334*w - 5915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 45*t - 14 + 47 - 7 - 6.\nAnswer: -45*t + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 4:37 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/5 + 53*o**2 + 24806*o\/5 + 18984.\nAnswer: -(o - 339)*(o + 4)*(o + 70)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2505 + 5?\nAnswer: 2512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1136, 14.\nAnswer: -16, 14, 1136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6356569?\nAnswer: 6356569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72790383.\nAnswer: 3, 24263461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -2\/15 (c) 23 (d) 0.5 (e) -1 (f) -17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 z, and 2 l when four letters picked without replacement from hmheljjjlllzl?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -576\/2677?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -327, -1317, -2975, -5307, -8319, -12017, -16407, -21495?\nAnswer: -27287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, v: 3, i: 2, f: 7, r: 7}. What is prob of sequence rf?\nAnswer: 49\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -1 + 1 + -253. Let u = n - -1767\/7. Let l = -4 - -4.5. Put -2, u, l in descending order.\nAnswer: l, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**3*t**2 + 2211195*f**3*t - 2*f**3 - f**2*t + 91*f*t**2 - 50887*f*t wrt f.\nAnswer: -18*t**2 + 13267170*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55527539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301.0067 millilitres to litres.\nAnswer: 0.3010067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 890230941?\nAnswer: 3, 223, 443563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 3*w**4\/2 + 15*w**2 + 95*w - 863. Differentiate o(c) wrt c.\nAnswer: 18*c**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8227262*c**2 + 18572459*c wrt c.\nAnswer: 16454524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 100*i**5 + 24*i**4 - 500*i**3 - 120*i**2 + 400*i + 96 = 0. Calculate i.\nAnswer: -2, -1, -6\/25, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 - 1 = -3*h. What are the prime factors of h?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1240\/(-2) - ((-54)\/(-12))\/(6\/8). Put 5, d, 0, -3 in descending order.\nAnswer: 5, 0, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1447 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.022 + 1.722. Let v = -2.1 + m. What is the fourth biggest value in 0, 0.1, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12054053 to five decimal places.\nAnswer: -0.12054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 29.1. Let a = -3197 + 12787\/4. Sort 4, a, w in decreasing order.\nAnswer: w, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -861258*z**3 - 26426*z**2 + z - 1.\nAnswer: -5167548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncei when four letters picked without replacement from {n: 1, i: 2, x: 3, f: 1, e: 4, c: 1}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-14))\/((5\/21)\/(377\/2262))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 1. Let o be x(-6). Suppose -y + 2*y + 2 = 0. What is the third smallest value in y, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxn when three letters picked without replacement from yynyxyynxsnnxyyyyyy?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2821653 is divided by 178.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from weweccwcwc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 719\/16 + (10*118\/8640 - 6\/81).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538525.6 nanometers in centimeters?\nAnswer: 0.05385256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 13*w**2 + 20*w**2 + 20*w**2 + 19*w**2 - 74*w**2 - 411*w. Let j(b) = 4*b. What is j(m(h))?\nAnswer: -8*h**2 - 1644*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*p**2 - 23*p**5 + 7*p**5 + p**2 - 3*p**2 wrt p.\nAnswer: -960*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 88*a**2 - a - 9. Let s(w) = 88*w**2 - w - 10. Let z(v) = -2*p(v) + 3*s(v). Let i be z(5). Suppose i - 387 = 4*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x + 7 = -8. Put -3, 2, x, -5 in descending order.\nAnswer: 2, x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 9. Let i be m(4). Suppose 86 = 75*b - 289. What is the third derivative of -v**2 - i*v**5 - 5*v**2 + 0*v**5 + v**b wrt v?\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 211526\/99 + -15655\/11. Let b = -716 + m. Find the common denominator of b and 97\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (220\/(-14))\/(-11)*(-280)\/(-2300)\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u - 4*u - 2*u + 3*u. Let j(b) = 19*b**2 - 7*b. Let n be 5*-3*(-1)\/3. Let s(m) = n*g(m) - j(m). Find the second derivative of s(c) wrt c.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 575*r + 107813. Determine v(-187).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 744?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75 - (-2 - (10 - (-3 + 4)))) + -8?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -262*r - 13873. Calculate j(-53).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/280 and 41\/2030.\nAnswer: 8120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5098564\/5 + 4\/5*i**2 - 9032\/5*i.\nAnswer: 4*(i - 1129)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 310795, 1243151, 2797081, 4972585?\nAnswer: 7769663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - 5) + (60 - 54) - (-20 - 6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/8, 0.01, 5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31921298*n**4 - 4*n + 8717344.\nAnswer: 383055576*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -17*c**2. Let g(v) = -v**2. Give i(g(x)).\nAnswer: -17*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 9*b**2. Let o(d) be the third derivative of -d**4\/3 + 16*d**2 + 7. What is f(o(u))?\nAnswer: 576*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -264468454 + -1?\nAnswer: -264468455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -80. What is the remainder when i is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dldldddddlllldld. What is prob of picking 1 l and 1 d?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47913137, 95826273, 143739409, 191652545, 239565681?\nAnswer: 287478817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 2.5, 1\/83, -5\/3, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -58*k - 5. Let s be w(6). Let a = -240 - s. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 6:53 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*h - 4708 - 1207 = -241*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7770000 rounded to the nearest 100000?\nAnswer: -7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1872)*-6.\nAnswer: 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.365 - 33.48. Let s = 15.42 + n. Let d = 0.005 - s. What is d rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69133 is divided by 5826.\nAnswer: 5047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1097\/(-1))\/(-4 - -4 - 1). Let f = 1643 - x. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)*-1)\/(sqrt(18)\/sqrt(96)))**2 + -1*(-1 + (0 + sqrt(80) - sqrt(25)\/(sqrt(10)\/sqrt(2)))).\nAnswer: -3*sqrt(5) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - q = 0. Let n be 8\/3 + q + -3. Let r = -107 - -962\/9. What is the closest to n in 3, -1\/12, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4792*-58\nAnswer: 277936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 - 86*q**2 - 168*q - 111. What is the remainder when u(-41) is divided by (-2)\/(-13) - (-4439)\/299?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128 by -1.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -0.3. Let j = -0.1 + m. Let i be ((-178)\/60 + 3)\/((-11)\/44). Which is the smallest value? (a) 1\/17 (b) i (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-9) + ((-13160)\/(-36))\/7 is divided by 32.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 8:30 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/5 (b) 10 (c) 5 (d) 3\/7 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12853 is divided by 6411.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - -94. What is the remainder when 687 is divided by v?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 10:32 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 31*r - 3. Let k(i) = -10*i + 1. Suppose 18*y - 17*y + 7 = 0. Let n(m) = y*k(m) - 2*x(m). Calculate n(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48*k**2 + 15*k**5 + 133*k - 43*k - 13*k**5 wrt k?\nAnswer: 40*k**3 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1138 and 58?\nAnswer: 33002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -43*u - 272. Let x be p(-14). What is the greatest common divisor of 88 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4*a**5\/3 - 8*a**4\/3 - 88*a**3\/3 - 64*a**2\/3 + 28*a + 24 = 0.\nAnswer: -3, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.13132 to one dp.\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7)*f*(f\/f**(1\/3))\/f)\/(f**7\/(f*f*f**(-9)*f)) assuming f is positive.\nAnswer: f**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggwwgggdwgwdd. What is prob of sequence dggd?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 71*l**3 + 13*l**2 + 3*l + 12. Let k be b(16). Suppose -17*d = -29*d + k. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**5\/3 - 5988*a**4 + 2783974*a**3\/3 - 35172628*a**2 - 219459551*a\/3 - 37046576 = 0.\nAnswer: -1, 79, 17808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2046 - 14319\/7. What is the closest to 2 in 0.03, 3, -3\/4, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51042?\nAnswer: 2, 3, 47, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/4)\/((-3)\/(-6)) - 3. Let p be (440 - j)\/(-5 + 4). Let y = p + 646. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**6\/24 + r**5\/20 + r**4\/8 - r**3\/6 - r**2\/8 + r\/4 + 8. Determine y, given that s(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/7)\/o*o*o\/(o\/(o**(3\/2)*o)*o))**(3\/13)\/(o*o\/o**(2\/11)*(o\/o**5)\/o*o*o**4*o**(-1)) assuming o is positive.\nAnswer: o**(-681\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-320)*6)\/(57\/(-20368)*2).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 22. Suppose 2 = 3*q + g, -g - x = 4*q - 2*g. Let d(w) = -w + 1. Let n be d(q). Put 4, 0, n in descending order.\nAnswer: 4, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-20)*(-3750)\/2625.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g. Let k(r) = 6*r. What is a(k(v))?\nAnswer: -36*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408860 divided by -2.\nAnswer: -204430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -8*q. Suppose q = a - 0*a - 2. Solve 6*p = a*p - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 26 + 34 = 0. Let k(u) = u**2 - 9*u + 6. Calculate the lowest common multiple of k(9) and (99\/w)\/(6\/(-16)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/25 + 17\/100. Let y(i) = -i**3 - 20*i**2 - 51*i - 272. Let t be y(-18). Which is the fourth biggest value? (a) 1 (b) -5 (c) k (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 = -16*x + 897. What is the highest common divisor of 140 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h. Let c(q) = -2320344*q**2. Give k(c(n)).\nAnswer: 4640688*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3269844*w + 3270009*w = 7920 for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 2314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 26*q**2 + 35*q - 8. Let m(s) = 9*s**2 + 12*s - 3. Let b(p) = -17*m(p) + 6*u(p). Factor b(v).\nAnswer: 3*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/16271 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 9*o - 22. Calculate v(-11).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -71451.7 + -16.3\nAnswer: -71468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/81)\/(8\/6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/3*(5 - 39\/6). Let j(v) = -146*v + 8. Does 14 divide j(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/2 + -2)*-5. Let r = -5 - -1. Let w = y + r. Put w, -4, -5 in ascending order.\nAnswer: -5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29786 or 29956?\nAnswer: 29956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50074687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 7 - (-28368)\/(-6698).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 13066695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 5 (c) -0.028\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.643256466 + -13.\nAnswer: -13.643256466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 12, j: 3}. What is prob of picking 2 l and 1 j?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 4512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 + 7*l**3 + 12*l**3 + (6 - 6 - 4*l)*(3*l + l**2 - 3*l).\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-6 - (-3 + -11 + 15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -703\/3 - -21799\/93. Sort -3, -1\/2, z, 1 in descending order.\nAnswer: 1, z, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9983, 9981, 9977, 9971?\n\"Answer: -s**2 + s + 9983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -25 - 7*i - 2*i - 6*i. Let f(a) = 2*a + 3. Let u(l) = -3*l**2 - 2104*l - 2104. Let z be u(-1). Calculate z*o(m) - 25*f(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 21*v**2 + 20*v + 3. Let c be t(20). Suppose -c*z - 4*d = -1 - 18, 3*z + 3*d - 15 = 0. Factor z + 3\/2*g + 1\/2*g**2.\nAnswer: (g + 1)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - m + 0)*(2*m + 0 + 0) + 13*m**2 + 116*m**2 - 28*m - 106*m**2.\nAnswer: 21*m**2 - 28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -8. What is the second derivative of -t**3 + 6*t + g*t**3 - 2*t + 0*t**3 wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(14)*-4 - sqrt(1134)*2)*-2)\/((2*sqrt(56) + sqrt(14))\/(sqrt(2) - (sqrt(200)*-1 + sqrt(200)))).\nAnswer: 28*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -35 * -0.39\nAnswer: 13.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 4450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**10\/k)*k**(-11)\/k*(k**(-2\/19))**(2\/53) assuming k is positive.\nAnswer: k**(-20144\/1007)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/160 and 25\/1104?\nAnswer: 11040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 - -50. Let j be 2\/f - (-16)\/3. Solve -j*a + 2 - 7 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1408 + -308. List the prime factors of d.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**2*r**2 + 1427157*h**2*r*v - 10*h*r*v + 17101653*r**2*v wrt r?\nAnswer: -4*h**2 + 34203306*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2*t - t)*(3 + 3 + 0)*(2 - 5 - 3).\nAnswer: 144*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1715370, 1715379, 1715388, 1715391, 1715382, 1715355, 1715304?\n\"Answer: -t**3 + 6*t**2 - 2*t + 1715367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 905858?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14788829, 29577664, 44366499, 59155334?\nAnswer: 73944169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 12:59 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49 and 59\/2160.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, e: 1, j: 3, h: 7, s: 1}. What is prob of picking 1 n, 1 e, and 1 s?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16, 106, 348, 820, 1600, 2766?\n\"Answer: 13*m**3 - 2*m**2 + 5*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 638 and 10730.\nAnswer: 118030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, q: 4, i: 1}. Give prob of picking 4 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23153 is divided by 186?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 10:44 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifteen quarters of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, -13 in decreasing order.\nAnswer: 3, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - -3.8. Let x = -0.33 - 6.27. Let v = -7.1 - x. Which is the second biggest value? (a) o (b) 1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109651471 divided by 89\nAnswer: -1232039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56451857 to the nearest integer?\nAnswer: 7513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/26 - (-224)\/780. Suppose 0*r = 3*r + 12. What is the third biggest value in 0.5, r, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -100?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 4*k = 12*y - 8, 5*y - 14 = 4*k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -133 + 137. Suppose 3*u = -5*x + 81, -u - k + 23 = -x. Calculate the remainder when u is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 625850.6 grams?\nAnswer: 625850600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 8656?\nAnswer: 95216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 1)*(f + 0*f + f) - 6*f + 1 - 1 to t*f + x and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 41704?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/5 + 13*a\/5 + 168\/5.\nAnswer: -(a - 21)*(a + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/4)\/3 - 95\/(-152)*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186518*i + 65486*i + 200360*i.\nAnswer: 452364*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1524 + -1523. Solve -6*o + 5*o = k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**6\/210 - 44*l**5\/35 + 125*l**4\/6 - 2*l**2 - 556*l. Factor i(b).\nAnswer: 4*b*(b - 125)*(b - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 6*g + 128. Let r be (16\/4)\/((-1)\/(-3)*3). Suppose f + 4*z = 4, 4 = 2*f + 2*z - r. What is the highest common divisor of g and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99.5 - 46.8. Let q = -51.7 + h. Is -0.09 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 1:58 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 36 + 9. Suppose 4*v - 3*r = 15, 6*v - v - r - j = 0. Suppose 4*p + v = 7*p. Sort 4, 1, p in descending order.\nAnswer: 4, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32180 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017936571948 rounded to five decimal places?\nAnswer: 0.00179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Suppose -3 = g*p - 7. Solve 17 = 2*t + 5*r, 4*t + 1 = p*r - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(1\/4))\/j)\/(j**(-8)\/j))**(-36) assuming j is positive.\nAnswer: j**(-315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x - 30. Let h(w) = 19*w**2 - 4*w + 4. Let l(k) = 129*k**2 - 27*k + 27. Let q(g) = -27*h(g) + 4*l(g). Determine r(q(m)).\nAnswer: -18*m**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -11*n + 3. Let k(u) = -7*u + 2. Let f = 3 - 1. Suppose -3*a = 4*o - 20, -f*o = -4*o + a + 20. What is o*k(c) - 5*w(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(-9))*w)**21 assuming w is positive.\nAnswer: w**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*r**2 + 11*r**2 - 2*r**3 - 1781*r**4 - 11*r**2 + 8*r**2 - 209*r**4 as t + a*r + g*r**4 + c*r**2 + q*r**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11091 (base 10) to base 4\nAnswer: -2231103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -173624824 minus -0.058?\nAnswer: -173624823.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7758743.\nAnswer: 7758743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 4, -1\/4, -0.1, 1, 2095?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.92 + 0.08. Let s = h - -1. Let y = -6 - -6.1. Which is the closest to -1? (a) y (b) 4\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8581914ns in minutes?\nAnswer: 0.00000000001430319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k + 8. Let r(a) be the second derivative of -a**3\/2 - 4*a**2 - 3125*a. Give 4*b(q) + 5*r(q).\nAnswer: q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.3259303 to 2 dps.\nAnswer: 2.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 3. Let u(a) be the second derivative of a**3\/6 - a**2 - a. Suppose 0 = 18*w - 8*w - 70. Suppose -65 = 25*s + 35. Give s*i(z) + w*u(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1200\/128)\/((-120)\/(-960)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9354409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 66074552152 + -0.1813?\nAnswer: 66074552151.8187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 433595202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*b + 1598 = 4*j + 123*b, 4*b = 3*j - 1201. Solve -u - 393 = -j for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = 4*v - 33. Let i(a) = 53*a**2 + 30*a + 2. Let x(h) = 53*h**2 + 30*h + 2. Let c(s) = v*x(s) - 2*i(s). What is the second derivative of c(j) wrt j?\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncf. Give prob of sequence cnf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22210524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(-2 + -2)*-2. Let y = 10 + a. Let h be 3\/(-77) - 4\/y. Is h > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*y - 154*y + 82*y)*(-1 - 1 + 4).\nAnswer: -310*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*y**4 + 6*y**2 - 218*y.\nAnswer: 276*y**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5503 divided by -3.\nAnswer: 5503\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c + 4 + 19*c + c - 4*c**2 - c**2.\nAnswer: -5*c**2 + 24*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 335835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllololloololoooo. What is prob of sequence ll?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srzzuguzz. Give prob of picking 2 u and 1 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1106, -2303, -3500, -4697, -5894?\n\"Answer: -1197*d + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163354?\nAnswer: 2, 81677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-4\/17))\/o**(12\/11) assuming o is positive.\nAnswer: o**(-61\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6440 and 3220.\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 6*c - 3. Let v be n(-2). Suppose -4*r + 2*r + 4*w = 4, 19 = r + v*w. Let m = -6 + r. Sort 4, 2\/7, m in ascending order.\nAnswer: m, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 798 = 3*d + x, -4*d + 1087 - 12 = 5*x. Suppose f - d = 6*f. Let r = f + 180. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -4238.8?\nAnswer: 12716.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/6)\/((-4)\/18). Let m be 8\/(5 - (g + 0)). Let r be 14\/m*16\/28. Solve 1 = -r*a + 3*v, a + 2*v = 2*a - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3375 divided by -61.\nAnswer: 3375\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t - 3*t**2 - t**2 - 6 + 3 + 3*t**2. Suppose -5*s - s = -18. Calculate c(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 b when four letters picked without replacement from bbbjbiibijbjbbjj?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 341?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -506217, -1012404, -1518593, -2024784?\n\"Answer: -r**2 - 506184*r - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 6. Let g(f) = -2*f**3 - 76*f**2 - 532*f - 289. Let b be g(-29). Solve -b = v*h - 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o + 434. Let b(n) = 134*n - 6. Give b(g(q)).\nAnswer: 536*q + 58150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and 54.\nAnswer: 3.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -433113 (base 5) in base 12?\nAnswer: -867b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 14\/33*n**3 + 32 + 1\/11*n**4 + 7\/11*n**2 + 4\/11*n. Factor c(q).\nAnswer: 2*(q + 1)*(q + 2)*(2*q + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1946 - 1948. Sort 6, 2\/5, 0.5, b in ascending order.\nAnswer: b, 2\/5, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7595277253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -1\/3*w**4 + 0 + 0*w + 7\/6*w**3 - 4*w**2. What are the prime factors of m(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.78 + -0.22. Let f = -0.0437 - -0.4437. What is the nearest to f in n, -1\/9, 5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 3*q - 12 = 0, 5*u - 31*q + 26*q = 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -4035\nAnswer: 11\/4035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/130 and 67\/35.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 524 divide 221849448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 135249089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2503*m**2 + 222*m**2 - 814*m**2 + 2678*m**2 + 1341*m**2 - 997*m**2)*(4 - 2 + 1) to r + f*m + u*m**2 and give u.\nAnswer: 14799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3268326909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -44. Suppose 2*w + 2*r = 6, w - 6 = -w + 3*r. Suppose 50 = w*c + 14. What is the remainder when a is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**3 - 6*x**2 + 3*x + 2. Let p(h) be the third derivative of -h**6\/20 - 7*h**5\/60 + h**4\/6 + h**3\/3 - 3*h**2 + 24*h - 4. Give -5*i(d) + 4*p(d).\nAnswer: d**3 + 2*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 256279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 3, -0.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000101 (base 2) to base 10.\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*1 + -1 + (sqrt(117) - ((0 + sqrt(117) + sqrt(117))**2 + -3)) + 2 + sqrt(117) + (sqrt(117)*-3 + 2)**2 + sqrt(117))*6*4.\nAnswer: -576*sqrt(13) + 14232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2331 + -2336. Let g = 25\/66 + -6\/11. What is the third biggest value in g, -1\/7, -2\/7, y?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 5 (c) -2\/3 (d) 6 (e) 12\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y. Let u be 2\/1 - (9 + -3). Does 5 divide d(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 0*x + 3*x)*(2 - 4 + 1) - 10*x + 47*x + 4*x + (x - 6*x - 3*x)*(1 + 4 - 4).\nAnswer: 35*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*w = w + 304, 2 = -w. Is 10 a factor of 19 - z - (1 + -5)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3 - 1 - 1 - i**2 + 5*i. Suppose -6*r - 35 = -r. Let l(x) = x**2 - 7*x + 7. Let g(b) = r*c(b) - 5*l(b). Let p(s) = -2*s**2. What is p(g(q))?\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 79485 divided by 21?\nAnswer: 3785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -21, -36, -53, -72, -93?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 176274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70629.\nAnswer: 3, 13, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 + -1 - 60\/(-18))*501?\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21987 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -757*f - 741*f - 756*f + 2256*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1126 + -540. Let g = -611 + o. What is the smallest value in g, -3, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 496060132*p + 1394753127 wrt p.\nAnswer: 496060132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a = 0. Suppose 4*o + 3*t - 56 = 1423, o - 3*t - 351 = 0. Suppose a = -56*b + 62*b - o. Is 61 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*v**2 + 39*v**2 - 79*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -7*z**4\/32 + 3*z**3\/8 - z**2\/8 + 10. Find o, given that q(o) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -1596480599.5.\nAnswer: -1596480599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-15)*34\/(1972\/145)*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 r when three letters picked without replacement from {p: 1, r: 1, y: 1, t: 9}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10555, 10409, 10165, 9823, 9383?\n\"Answer: -49*a**2 + a + 10603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/3792 and 115\/1511952?\nAnswer: 119444208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 - -51.65. Let t = -0.75 + h. Let s = -0.45 - -0.05. Which is the fourth biggest value? (a) 1 (b) s (c) -1\/6 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 5. Let k = 11 - 8.5. Let s = -2 + k. What is the closest to 0.2 in -1\/4, h, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1411, -1802, -2487, -3466, -4739, -6306?\nAnswer: -8167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2\/5 + 16251588*n\/5 - 33014264065218\/5 = 0. Calculate n.\nAnswer: 4062897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 9. Suppose 3*i + 20 = -i. Which is the closest to 1? (a) 2\/7 (b) i (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434*c - 3195 = -79*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 50*l = 0. Solve 4\/7*a**3 + 2\/7*a**5 + l - 6\/7*a**4 + 0*a**2 + 0*a = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34424\/4001790)\/((-2)\/30).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 195\/(-45))\/(0 + 1\/(-15)). What is the third biggest value in m, 0.5, -1\/10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18 and -3795?\nAnswer: 3777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173951512 by -34916.\nAnswer: 4982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 477, 964, 1451, 1938, 2425?\n\"Answer: 487*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 484261 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47380518 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76147*k**3*v**4 + 1597*k**3 - k*v + 4*v wrt v?\nAnswer: 913764*k**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -21, -0.2, -0.06, -6\/11, -8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6482961587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 5*q - 6. Let d(t) = -t + 14. Let i be d(20). Determine c(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (352\/(-5))\/(-4) + 60\/(-100). Calculate the lowest common multiple of 34\/q + (19 - 0) and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17 * 16.\nAnswer: 2.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2912, -2885, -2898, -2969, -3116, -3357, -3710?\n\"Answer: -3*f**3 - 2*f**2 + 54*f - 2961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**3 - 11*w**2 + 69*w + 171 = 0. What is w?\nAnswer: -3, 19\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/3, -0.63, 5 in ascending order.\nAnswer: -1, -0.63, -1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20725, -20690, -20589, -20386, -20045?\nAnswer: -19530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 25*c**2 + 46*c + 36. Let u be g(-23). Solve 40*d = -44 - u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*o - 11 - 9 = 0, 4*r - 32 = -4*o. What is the highest common factor of 72 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 782223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*c**3*j**3 + 64*c**2*j + j**3 wrt c.\nAnswer: -246*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*r - 71 - 297 = 5*b, 0 = -5*r + 7*b + 9*b - 15*b - 2*b + 30 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3656600 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.258 to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.57\nAnswer: -0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a0602 - -600?\nAnswer: -a0002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/30)\/(2\/30). Suppose -i = 5, j + 3*i + y = -5. Solve 4 + 3 = -3*a + g, -a - 3*g + j = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 266\/18 - (-2)\/18*2. Suppose x = -m + 31. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjj. What is prob of sequence jj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, c: 6, p: 1, x: 3}. Give prob of picking 1 x and 2 c.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9326245?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a + 682 = 0. Let b be 1 + -7 - (-59 - -22). Calculate the greatest common factor of a and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7119998*f**3 + 7651414*f wrt f.\nAnswer: -42719988*f","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/352367 or 1?\nAnswer: 2\/352367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 4*z + 2*z)*(-2 + 0 + 0)*(z + 3*z - 2*z).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, g: 1, z: 1}. What is prob of sequence grr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 83*d + 241. Let a be p(-2). Solve a*u = 87*u - 96 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 994 divided by 1?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 2 - (1 - 1). Let p be (12\/(-9) - -2)*3. Suppose -3*r - p*r + 25 = 0. Solve -f*a = -r*a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7169 by 67.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -2*a**3\/3 - 8*a**2 - 14*a + 50. Factor d(w).\nAnswer: -2*(w + 1)*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*c**2 - 14091*c + 691230.\nAnswer: 14*c - 14091","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907475 less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18977 - -57023. Suppose -2*t = 2*t + r. What is t rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74203 (base 8) to base 9.\nAnswer: 46278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 33. Let w(h) = 5*h - 20. What are the prime factors of w(p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -11\/96*d**4 + 1\/12*d**3 + 1\/48*d**5 - 9*d + d**2 + 0. Factor n(v).\nAnswer: (v - 2)*(5*v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 665 and 177935?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 3249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 827*d - 826*d + 14 = -4*t, 2*t + 16 = 4*d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 20*b - 45. Let w(q) = q**2 - 15. Let u(z) = 2*g(z) - 6*w(z). Determine j, given that u(j) = 0.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 784, 1568, 2352, 3136, 3920?\nAnswer: 4704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -19*f**2 - f. Let r be o(-2). Let y = 70 + r. Let n(a) = -2*a**3 - 2*a**2 - 2*a + 1. Is n(y) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 8:40 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -174*g**2 + g**4 + 134*g**5 + 199*g**5 - g**4 + 176*g**2 + 2169 wrt g.\nAnswer: 19980*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 43 + (-121 - -93).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/((-176)\/40))\/(10\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - o + 1. Let d be 196\/(-21) - (-1)\/3. Let x = 2 - d. Let n(h) = -4*h**2 + x*h**2 + 5*h - 2 + 0 - 3. What is -5*b(t) - n(t)?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 210*q**3 - 18*q. Let h(a) = -72 - 69 + 141 + 5*a - 60*a**3. What is 18*h(v) + 5*x(v)?\nAnswer: -30*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 3. Let t be k(6). Suppose 0*h - t = -h. Suppose -2*i - h*m + 44 = 0, 2*m = 2*i + 8 - 42. Calculate the remainder when i is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3444, -13777, -31002, -55119, -86128?\n\"Answer: -3446*s**2 + 5*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 923 - 1668. Let s = -748 - o. What is the smallest value in -16, s, 5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/6 - (-8)\/12 - 0. Let d(n) = -5 + 8 - 6*n + 3*n. Let c be d(2). Put o, c, 4 in descending order.\nAnswer: 4, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -37?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 + 1 = 0. Let t = 0 - 0. Let x = 34 - 28. Solve 0 = -u + 1, t = -4*w + u - x*u + p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -58*n**3 + n**2 + n. Determine j(-1).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 99.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 301935 and 399?\nAnswer: 40157355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -419*a**3*h**3 + 11*a**2 + 7*a*h**3 + 2 wrt a?\nAnswer: -2514*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91 + 84. Let g(p) = -5*p - 33. Let b be g(w). Let s be b*(-1)\/((-42)\/(-22) + -2). What is the greatest common divisor of s and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -871*b**2 - 40*b + 23*b + 721*b**2 + 3255*b**2 + 12 wrt b.\nAnswer: 6210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 5*t. Suppose -b - 4*p + 35 = t, 39 = b + 2*p + 8. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3124*j**4 - 2*j**3 - 4 + 5*j + 6249*j**4 - 3123*j**4 - 1 - j**2 to the form l*j**4 + v*j + x*j**3 + f*j**2 + y and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 4*k - 24, -4*f + 276 - 312 = -f + k for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 884609?\nAnswer: 11, 137, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2434 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 13*y - 5. Let b be w(8). What is the common denominator of (4\/8)\/((-6)\/(-149)) and (-6)\/b*102\/(-8)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 1\/70*r**5 - 1\/245*r**7 + 0*r**3 - 3*r**2 - 3 + 1\/84*r**6 - 1\/1176*r**8 + 0*r - 1\/21*r**4. Let f(g) = 0. What is g?\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/23 (b) 483 (c) 2\/21 (d) 112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q - 1. Let m(h) = 3*h + 1. What is -2*l(b) - 3*m(b)?\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1812748 (base 14) in base 4?\nAnswer: -231103301130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -10. Let t be (-47)\/15 + (-22)\/(-165). What is the biggest value in 7, u, 0.1, t?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 6*g. Put -5, 5, g in decreasing order.\nAnswer: 5, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 307*u + 312*u = 12, -2*u + 8 = 0. Put 4\/31, d, -1 in descending order.\nAnswer: 4\/31, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/4)\/6*3\/((-5418)\/(-21))?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 35062*k - 7994166. Give s(228).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-3 - 0)) + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 + -47.6. Let a = 2.52 + s. Is a at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 14*r = -16 - 18, 42094*f - 42091*f = -r - 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129402 is divided by 1941?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/sqrt(5)*4)\/((sqrt(150)\/sqrt(3))\/sqrt(5)) + (sqrt(21) - (sqrt(2541) - (2*sqrt(2541) - sqrt(2541))))\/(sqrt(700) - 2*sqrt(700)).\nAnswer: 39*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 145612 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35\/12, -2, -0.1, 25, 2, 2\/3.\nAnswer: -35\/12, -2, -0.1, 2\/3, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.0850032 - -14.48500338. Let r = -2.4 + c. Round r to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(1 + 10\/(-14)). Let g(n) = -n**2 - 5*n + 12. Let s be g(i). Let t(z) be the second derivative of -z**5\/20 - z**4\/6 - z**3\/6 - 6*z. Determine t(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000488430936 rounded to 6 decimal places?\nAnswer: -0.000488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-3)\/12*(-84)\/(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1044 in -6, 13\/2, -5?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2471*n + 2406*n = -40040. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 28*f**2 - 3998*f + 49412. Calculate o(13).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -21*b + 110 - 488, -3*b - 3*n - 54 = 0. Let p(s) = -s**2 - 16*s + 12. Calculate p(b).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4509005160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -114, 8, -5, 4, 9, 5 in decreasing order.\nAnswer: 9, 8, 5, 4, -5, -6, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 12 = 12*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 423*q - 290*q - 417*q.\nAnswer: -2*q**3 - 284*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*r - 19*r - 3*a + 100, 0 = 2*r + 5*a - 64. Calculate the remainder when 50 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-18)*1\/2. Let n = -110 - -110. Which is the third biggest value? (a) n (b) 0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 0*p**2 - 2*p**2 - 4 + 3*p**2 to g + v*p + b*p**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 161*s**3 + 163*s**3 - 49 + 57 + 120.\nAnswer: 2*s**3 + 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7578, 15156, 22734, 30312, 37890, 45468?\nAnswer: 53046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2058*y + 2957*y**2 - 2058*y in the form b*y**2 + f + p*y and give b.\nAnswer: 2957","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 5*y - 4. Suppose 5*l - 10 = 7*l. Let i = -24.7 - -25. What is the second biggest value in -4, y, i, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 4*s**2 + 6*s - 1. Let h be d(5). Let j be (-3)\/(-3) + h - 2. Suppose 4*o = 4*t - 56, -8 - 4 = j*o. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2958 and 306.\nAnswer: 8874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1015 divide 2263450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6\/(w*w\/w**3))**(-49) assuming w is positive.\nAnswer: w**(-343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 174297.\nAnswer: -174293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7962 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-501990.5\nAnswer: -50199.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2449923669.\nAnswer: 3, 17, 19, 842767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p - 2 = 0. Suppose -22 = -5*i - p. Solve 6*x = i*x - q - 3, 5*x = 4*q - 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 - -116364108998?\nAnswer: 116364109461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*c + 4*c + 5*c + c to the form f*c + h and give f.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31, -63, -99, -139, -183?\n\"Answer: -2*z**2 - 26*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 17030*a**2 + 572480*a - 2562720.\nAnswer: 5*(a - 4)*(a + 38)*(a + 3372)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26623.4*-20.\nAnswer: 532468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.038627 + 0.0531955. What is c rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 6. Let n be g(5). What is p in -25*p**5 - 21*p + 9*p**5 - 113*p**3 + 3 + 72*p**n - 1 + 26*p**2 + 50*p**2 = 0?\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 14805?\nAnswer: 14801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 8) + -9 - (-8 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48 or 22\/9?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3*i - 8 + (-5*i + 2*i + 2*i)*(3 - 2 + 0))*(-990*i - 591*i - 724*i + 313*i).\nAnswer: 7968*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 2:25 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a millennium in months?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -4*w**3 - 5*w**2 - 21*w - 1. Let b be s(-4). Is -172 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2\/9 - 1006776*c - 570148826724.\nAnswer: -4*(c + 1132623)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -134, -261, -378, -479, -558, -609?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + i = -16. Let h(a) = 6 + 7*a + i - 3*a - 27*a. List the prime factors of h(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*c + 34*c = -3108. List the prime factors of c.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7149141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**3 - 9*p**2 + 30*p = 0.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + x + 1. Determine p(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16707, -16706, -16705, -16704, -16703, -16702?\nAnswer: -16701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/21*51\/2. Let k = r + -28. Let m(n) = n**3 + 13*n**2 + 10*n - 5. Is m(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91\/2 - 45. Which is the smallest value? (a) 0 (b) r (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 4*r + 421 - 429 = 0, 3*t = 2*r + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/(-9))\/7*(-6)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 10356647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 1)\/(5\/(-55)). Let r be 4\/(-6) + y\/6. Put r, 0, 4 in decreasing order.\nAnswer: 4, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 2*l - 2*l = -4*l - q, 7*q + 9*q = 3*l + 12*q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -7 - 4) + (-1 - 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288725782203 - 420.\nAnswer: 288725781783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5\/2261 - -698624\/11305. Let x = j - 62. Let m be (-3)\/6*2*5. Sort m, x, 0.2 in ascending order.\nAnswer: m, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1145*c**3 + 54 - 2261*c**3 + 1115*c**3 + 14*c**2.\nAnswer: -c**3 + 14*c**2 + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -262300 rounded to the nearest one thousand?\nAnswer: -262000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 36, 76, 150, 270, 448, 696, 1026?\nAnswer: 1450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3051868 divided by 80\nAnswer: -762967\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20021112011 (base 3) to base 13\nAnswer: -44335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1518.6 - 1519. Which is the second smallest value? (a) -0.1 (b) -59 (c) -5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1764)\/3234 - (2 - (-1852)\/(-770)) and -4\/35.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 82 - 36 + 0*s**2 - 22*s - 46 + 3*s**2 in the form f + g*s + r*s**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 393 - -2?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 543429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.017 (b) 6 (c) -0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + o = -11, r + 92*o = 93*o - 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 240 = -4*b, -4*j + 3*b = -2*b - 240. Let d be ((-36)\/3)\/3 + 31. Let t = j - d. What are the prime factors of t?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10.2057 from 0.014.\nAnswer: 10.2197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**12*k*k)**41)**45 assuming k is positive.\nAnswer: k**25830","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 5:49 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27538 + 104317. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 603 (base 9) to base 16\nAnswer: 1e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i*i**(3\/5)))\/((i\/(i**(-10)\/i))\/i*i))**28 assuming i is positive.\nAnswer: i**(-2044\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16500 (base 8) to base 3.\nAnswer: -101021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 12*b + 15. Let i be p(12). Let w = 98 + i. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49507947 to the power of 1\/2, to the nearest integer?\nAnswer: 7036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*p + 16 = -0*p, 5*p + 40 = 5*q. Let k = 21 - 24. What is the biggest value in 8, q, k?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6600 by -1320.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4396*j - 24027 - 358425 for j.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s - 6*s - 22*s**2 + 3*s.\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 34554*0.076\nAnswer: 2626.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - s - 30, 150*a + 18 = 147*a + 11*s for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -0.5. Let v be ((-27)\/(-6) + -1)*-2. Let y = -5 - v. What is the nearest to y in i, 2\/19, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1563760 and 10164440.\nAnswer: 20328880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 7:46 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1074.219 + 1075. Let d = -186.519 - k. What is d rounded to the nearest integer?\nAnswer: -187","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 112\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -14*z**3 - 11*z**2 + 28*z + 8. Give j(3).\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -719, -757, -819, -905, -1015, -1149?\nAnswer: -1307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521771348?\nAnswer: 2, 7, 18634691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/10 + 92\/20. Let s(u) = -u + 3. Let k be s(z). Is ((-1)\/(-2))\/(k\/(-52)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k**2 + 4*k + 1. Let g(v) = -23*v**2 + 23*v + 6. Determine -6*g(s) + 34*i(s).\nAnswer: 2*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*w + 18. Let v = w + 1. What are the prime factors of 11 + -2 + (v - -3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109 - 457244\nAnswer: -457353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i**3 - 3*i**2 + i - 7. What is the tens digit of y(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(8)*-5.\nAnswer: -10*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 949 and -1.545?\nAnswer: 950.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1671 + 3068. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(84) - (sqrt(84) + -3*(sqrt(84) + sqrt(84)*-1 - sqrt(84))) - sqrt(84))\/sqrt(12)*-1.\nAnswer: -16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5996 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvvvvdkvvjsdvjjhvvk. Give prob of sequence kjk.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - 2 - (-45 + 37).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56188 + 56185. Let s = 5 - 10. Which is the closest to -1? (a) m (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 63 = 3*y. Let c(x) = 29*x**2 - x - 2. Let l be c(1). Let t = l - y. What is the lowest common multiple of 16 and t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7903002 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 209 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, 0.4, -74 in descending order.\nAnswer: 106, 0.4, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 45, 50, 67, 102, 161?\n\"Answer: g**3 - 2*g + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 9, t: 10}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and -6.54.\nAnswer: -0.1308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23944849 is divided by 27618.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 395305 and 66265?\nAnswer: 2285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -14 - (26 + -39 + 7 + -14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3729, 3732, 3737, 3744, 3753?\n\"Answer: t**2 + 3728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 14*d + 10*d + 9332, -2*r = -d - 4663. Is 2332 not equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 46101435 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55 + -11463?\nAnswer: -11405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**4\/6 - 13*y. Let r(s) be the second derivative of -2*s**3\/3 + s. Give r(j(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20.08 - 20. Let z = d + 6.92. Let a = 5 - z. What is the second smallest value in 2, a, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 7. Suppose 6*h - 47 - s = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 8. Let r be q(-17). Suppose -119 = 2*j - r*j. Let i(u) = -j*u + 1 + 13*u + 5*u + 4*u. Determine i(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34315.\nAnswer: 5, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25088 = 18*a - 802*a for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - k + 3. Let z be h(0). Suppose -b - 20 = z*b. Is -5 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -8*i + 109. Let u be x(14). What is the second biggest value in u, -2\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times -271\nAnswer: -24.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {b: 7, m: 1, c: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29 and 2204.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 524 - 133. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 212*c - 33. What is the units digit of i(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7069 = 247*u + 1571 + 8156 for u.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 20*s**2 + 17*s - 68. List the prime factors of o(-16).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -261 - -186. Let u be (-5)\/(m\/10 + 5). Solve -3*f + u = 2*w, 3*w + 5*f = -w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -1)*(-8 - 120\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 41 + -54 + 100\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -5*o + 93, -8*z + 67 = -5*z + o. Suppose -25 = z*k - 113. What is the lowest common multiple of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00072985 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -71*w. Let n(i) = 12*i. Let b(f) = -6*n(f) - r(f). Let q(j) be the first derivative of j**3\/3 + 1. Give q(b(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 4403*g - 61442. Give i(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, h: 1, g: 2, p: 1}. What is prob of sequence lpgl?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*v + 22 = 0, -2*t - 15 = -4*v - 3. Let c = t - 1. Suppose 66 = 4*d - 2*f, d - 4*f - 76 = -c*d. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 304064165 to the nearest integer?\nAnswer: 17437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00191511 to four dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 65, 181, 385, 683, 1081, 1585, 2201, 2935?\n\"Answer: q**3 + 38*q**2 - 5*q + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20.1 + 20. Let p = 1 + -4. Let q be (-1)\/(-6) - (-2)\/3. Which is the closest to p? (a) q (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -7. Sort t, 1, 2 in decreasing order.\nAnswer: 2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762321747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.9, -2\/7, -445, 0.4 in descending order.\nAnswer: 4.9, 0.4, -2\/7, -445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -121, -1, -51, 2 in descending order.\nAnswer: 2, -1, -51, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2432120621.\nAnswer: 7, 2207, 157429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 1.117\nAnswer: 5.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-4))\/((-2)\/(-8)). Solve -5*f + 10 = -v, f - 3 + 10 = s*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 641756374 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -395 - -393. What is the closest to -1\/2 in b, 7, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2087 + 0.0913. Which is the third biggest value? (a) 3\/5 (b) -12 (c) j (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -1\/20*b**5 - b**2 - 1\/6*b**3 + 24 + 2*b + 5\/12*b**4. Calculate z(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 177 - 115 - (-3 - -2)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 12:12 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8 - (-130)\/40. Suppose -l*r = -13*r. Solve -2 = -r*z - 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 81*v**2 - 2*v - 1. Suppose 5*o - 5*d = 15, -3*o + 1 = 2*d + 12. Is m(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -30680.\nAnswer: -7\/30680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 2. Let u(n) = 12*n**3 - 16. What is -40*h(a) + 5*u(a)?\nAnswer: 100*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -613, -2270, -4849, -8224, -12269, -16858, -21865?\nAnswer: -27164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -7*l**2 + 37*l + 4. What is the lowest common multiple of 63 and q(5)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1712560 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Let a(p) = -52*p + 4. Let r(w) = -a(w) + 2*v(w). Is r(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 11634718?\nAnswer: -11634716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 12*z**2 - 8*z - 13. Let o be u(-2). Suppose 15*p + o = -2*p. Put -5, 4, -1, p in ascending order.\nAnswer: -5, p, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 4, 2, 1\/12 in descending order.\nAnswer: 4, 2, 1\/12, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1135 is divided by 262?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*q + q - 4684, -4684 = -4*g - 5*q. Is g + (1 - (-4 - -5)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -249 + (3 - (-13 - -6)). Let o = k + 1198\/5. Factor -9\/5*c**3 + 12\/5*c**2 + 0 - o*c.\nAnswer: -3*c*(c - 1)*(3*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, v: 2, l: 3, m: 2, a: 2, o: 2}. Give prob of picking 1 o, 1 m, and 1 a.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 394619 + 199420. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 11:15 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -30641038 less than 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/3)\/(6\/9). Suppose 0 = 2*q + 3*f + 1 + 51, -66 = a*q - 4*f. What is the common denominator of q and -3\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 12*x**2 - 47*x - 247. Let k be c(-10). Calculate the highest common divisor of k and 4371.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4640 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.061 - 0.06100103. Round j to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 348 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6 from 63685.\nAnswer: 63684.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 134*i + 31. Let u be o(-2). Let l = -32464\/7 + 272963\/56. Let x = l + u. Sort 1\/12, -2, x in increasing order.\nAnswer: -2, x, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.44710935 rounded to 0 dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-6)*-8*(-183)\/610.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -2*u - 10, 0 = -3*t - 4*u - 15 + 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 945 (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - y - 2. What is the units digit of r(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 300 + -23003?\nAnswer: -22103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5392*a + 32353. What is t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -22*r**3 - 6*r**2 + 10*r + 17. Is b(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1133446937?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1302 (base 5) in base 15?\nAnswer: -d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -354925 (base 10) to base 3.\nAnswer: -200000212101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2. Let g(p) = 5*p**2 + 4*p + 4. Let y(k) = g(k) - 6*j(k). Let r(x) be the first derivative of y(x). Calculate r(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -2*a**2 + 7*a + 6. Let v(p) = -3*p + 5. Suppose 0 = -2*t - 9*o + 4*o, 17 = -3*t + o. Give t*x(h) + 7*v(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5598 and -105?\nAnswer: -58.779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*g + 6. Let j(l) = l**2 + 8*l + 8. Let t be j(g). Let s be t*3*2\/180. Which is the third smallest value? (a) 2\/13 (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 0.4, -0.0221, -5, -1\/2, 0.07?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 divided by -2?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 8, c: 3, f: 3, q: 2}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*n**3*q**2 - 314028*n**2*q**3 - 6913329*q**3 wrt n.\nAnswer: 39*n**2*q**2 - 628056*n*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v**4 + 6*v**4 - v**4)*(1656 + 3589 + 1815 - 1 - 898) as f*v**3 + w + a*v**4 + k*v + c*v**2 and give a.\nAnswer: 6161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 3*u - 2. Let w be y(-3). Let l = -1 - 0. Let n be w\/l + (-2 - -4). Solve -p = n*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2207670.703493 - -0.21?\nAnswer: -2207670.493493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -658.\nAnswer: 3\/658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 + 8*w**2 + 9*w - 8. Let u(b) = -425*b**2 + 425*b**2 + b**3. Let h(p) = d(p) + u(p). What is the tens digit of h(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -712099\/7?\nAnswer: -712099\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 6*d. Suppose 0 = -4*k - 0*k - 32. Let h be (-21)\/(-90) + k\/20. Which is greater: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 h, and 2 s when four letters picked without replacement from mmugssmsuhsuue?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f. Let b(w) = -127029*w. Calculate i(b(v)).\nAnswer: 381087*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21012 (base 3) to base 16.\nAnswer: c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -458211 divided by 5.\nAnswer: -458211\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*i + 5160013 = 4*o, -3*i - 1720011 = -o. Let v be -1*(1 - 0) - o. What is v rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 12:21 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-484) + (-420)\/1848)*2\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/2 (b) 1.1 (c) 140121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19696879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4629054919.\nAnswer: 4629054919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1457*z + 3670 - 3670 + 1458*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**3\/6 - d**2\/3 + 5*d\/2 + 6 = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 441 and 343?\nAnswer: 3087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34682 is divided by 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*i**4 - 85*i + 623*i**2 + 0*i**4 - 625*i**2 - 647*i**6 wrt i.\nAnswer: -77640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -1 + 0*i + 3\/4*i**4 + 2*i**3 - 9\/2*i**2. Let a(q) = 0. Calculate q.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4))**(1\/14)\/(y**(-1\/2)*((y*y**(-7)*y)\/y)\/y) assuming y is positive.\nAnswer: y**(421\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -14377*r**3 + 9*r**2 - r - 12. Let o be y(4). What is o rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 17*l**2 - 4*l. Suppose -v + 4 = 7. Let c be i(v). What is the greatest common divisor of c and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**7*x)\/x)\/x)**44\/(x*x\/(x*x**14)*x*x)**(-3\/32))**(1\/45) assuming x is positive.\nAnswer: x**(187\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3550*i + 38754. Give q(11).\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14838 is divided by 1942.\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(156)*1)\/(sqrt(144)\/((sqrt(48) - (sqrt(48) - (sqrt(432) + sqrt(48))))\/sqrt(4))) + -2.\nAnswer: -2 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/3))**(2\/11)\/(n**(2\/7)*n)**(30\/13))\/((n\/n**(-1))**(6\/5)*(n*n**(1\/4)*n)**27) assuming n is positive.\nAnswer: n**(-3974629\/60060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -57502*n - 16. Suppose 1 - 36 = -7*h. Suppose -5*c = -4*p - 47, -2*p - 5*c = -h + 6. Let b be u(p). Round b to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42605, -42577, -42547, -42515, -42481, -42445, -42407?\n\"Answer: t**2 + 25*t - 42631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.154 - 1972.25239?\nAnswer: -1972.40639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 269479 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2309*l + 1797*l + 261*l - 104760 = 487*l for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4009305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10636*q = -10633*q + 27. Put q, -1, 45, -4 in descending order.\nAnswer: 45, -1, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10553 is divided by 866?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + -1 + 5 + 1.\nAnswer: sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/32)\/((-9)\/(-44)) - -7.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 12*d - 2*d - 2 to the form j + i*d and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17531 - 5?\nAnswer: 17528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215369 is divided by 107682?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -658 = -3*h - 646. Let z be 2\/((4\/(-14))\/(-1)). Let k(a) = -100*a + 703. Let w be k(7). Solve -z = -w*g - h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3901542*j**4 + 16863079 wrt j.\nAnswer: 15606168*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**6\/120 + m**5\/60 + m**4\/12 + m**3\/6 + 2*m**2. Let w be u(-1). Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1\/368 (c) 0.3 (d) 114\/79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (262*i**2 + 127*i**2 - 818*i**2)*(-1 + 3 - 1)*(-i - 7*i + 3*i).\nAnswer: 2145*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -445\/12, 0.4, 0.2, 250, 5, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-5))\/(3\/20*(-112)\/168).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -434*v + 11174. What is w(15)?\nAnswer: 4664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1725782357.\nAnswer: 13, 89, 1491601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -69081, -138172, -207263, -276354, -345445, -414536?\n\"Answer: -69091*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*-1*(-1 + 3). Let x be (-2)\/(1\/4*-2). Let o be 0\/k - (-1)\/x. Which is the third biggest value? (a) -0.4 (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78\/7 - 79\/7. Let x = 8854 - 8853.6. Sort x, i, -4, -2 in decreasing order.\nAnswer: x, i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4176 - 3272. What is the least common multiple of 20 and b?\nAnswer: 4520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a factor of 1508797807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 + -31. Let r(h) = -h**3 + 3*h**2 + 18*h - 53. Let f be r(3). Let w be 0 + (-36)\/(-9) + (-3 - f). Solve -2*j - 4*a + y = -w*j, -j = a - 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 504 and 1008?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -3, 20, -35 in descending order.\nAnswer: 20, 4, 2, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, d: 7, g: 5}. What is prob of sequence ygyg?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2115, 4231, 6347, 8463?\n\"Answer: 2116*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 10*r**2 + 16*r - 67. Let i be n(4). Let d = i - 114. Which is greater: d or 40?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6199570 to the nearest one hundred thousand.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/11))**(1\/48)*v**20*v\/v**(2\/7) assuming v is positive.\nAnswer: v**(38273\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264\/(-15)*565\/(-4)*(39 + -21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40 and 68631?\nAnswer: -2745240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wll when three letters picked without replacement from lwwwwwlwwlw?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25776942, 51553884, 77330826?\nAnswer: 103107768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - n**2 + 1. Let a(f) = 13*f**4 + 39*f**3 + 39*f**2 - 52. Let t(u) = a(u) + 39*o(u). Differentiate t(y) with respect to y.\nAnswer: 52*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8 - 1 + 37651*q + 4.\nAnswer: 37651*q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208, -206, -202, -196, -188, -178?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1 - (9 + -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h**2 - 858*h - 14 - 3*h**2 + 858*h as o*h + b*h**2 + n and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.44 - 1.74. Let i = 0.0562 - -1.2382. Let u = i + g. Round u to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3867?\nAnswer: 3, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 731501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-50*j - 52*j - 13*j)*(2*j**2 - 2*j**2 + j**3) - 2*j**4 + j**4 + 5*j**4 to z*j + y + b*j**3 + t*j**2 + k*j**4 and give k.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*y - 2*y - 223, 4*u = 12. Suppose -3*c - 2*i + 1011 = -y, -4*c + 4*i + 1468 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34690463748 + 0.111.\nAnswer: -34690463747.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-7))\/y**(-1\/11)*(y**1*y)**(2\/85) assuming y is positive.\nAnswer: y**(-5481\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103232 - 1342?\nAnswer: 101450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, n: 6, l: 3, f: 1, a: 4, t: 3}. What is prob of picking 1 f and 1 v?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*4\/(-84) - (-126)\/4998.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 74, 92, 94, 74, 26, -56, -178?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*i**2*m**2*z**2 - 2*i**2*m*z - 12*i**2 + 2*i*z**2 - m**2*z**2 - m*z**2 + 5520*z**2 wrt i.\nAnswer: 46*m**2*z**2 - 4*m*z - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**3 - 156*m**2 - 496*m - 336 = 0.\nAnswer: -2, -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 11396?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(176) + sqrt(176)*3)**2.\nAnswer: -128*sqrt(11) + 2832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 - -61.5. Let h = 61.4 - j. Which is the smallest value? (a) -3\/5 (b) h (c) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 5*v. Let s be f(-4). Let x be 36 - ((-1)\/1 - s). Let b be (x\/(-12))\/((-1)\/12). What is b rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60*(1100\/(-770))\/((-3)\/(-7))*(-48)\/(-128)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*h*v*w**3 + 4*h*v + 9*h*w**3 - 2*h*w - v*w**2 - 12*v*w - 6*w**2 wrt w.\nAnswer: -72*h*v + 54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 n, and 1 l when four letters picked without replacement from {p: 4, l: 12, k: 2, n: 1}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*c - 101*c + 30*c.\nAnswer: -35*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -11\/30*y**4 + 0 + 2\/5*y**2 + 81\/50*y**5 - 21\/25*y**6 - 3\/5*y**3 + 2*y. Let c(z) = 0. What is z?\nAnswer: -1\/3, 2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -434*v + 2172, 19 = -3*q + 6*v - v - v - 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 4, 4.3, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + 0 + 6561 - 9. Round b to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - ((-40 - -39) + (2 - 1) + 0).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 757 is divided by 372.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -6. Suppose 3 + 7 = r*c. Let f = -0.0413 - 0.2587. What is the second biggest value in -3, f, -0.27, c?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11a5 - 7?\nAnswer: -11ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 80.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2205874342 and 1197.\nAnswer: 2205875539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/5 - 9*z\/5 - 6\/5.\nAnswer: 3*(z - 2)*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2569 (b) 4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -445619, -891751, -1337883?\n\"Answer: -446132*q + 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -186*r + 903. Determine i(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d (base 15) in base 2?\nAnswer: -101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -2*z - 244. Suppose -5*y + z - 196 = 0. List the prime factors of (y\/6 - -2)*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216.7343222 rounded to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3138a5 (base 13) in base 10?\nAnswer: -1150518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2603 equal to -500.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -7. Suppose k = y + 3*y - 20. Solve -3*m - 4*j + 2 = -2*m, y*j = 3*m + 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -735 + 1404. Suppose x - t = 4*o, -6 = 5*o - 7*o. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78785 or -78786?\nAnswer: -78785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519174518 + 17*o + 519174518.\nAnswer: 17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-12) - (-95)\/30. Solve 3*h**3 - 3*h + 4*h - 1 - 4*h**v + h**2 = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 217464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 7*b**2 + 3. Let v be d(-7). Suppose 3 = v*x - 2*x. Suppose 2*j = x*w - 5 - 7, 3*j - 16 = -4*w. Solve j = 3*r - 2*r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 t when three letters picked without replacement from gtgggggggggg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -67107688 - 1.38\nAnswer: -67107689.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 + 8 - 4)*(k + 1 - 1) + k - 3*k + 3*k in the form t + u*k and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/10)\/o**(-4)*o**5*o**(-2\/3))**4 assuming o is positive.\nAnswer: o**(506\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 32 = c. Suppose -2*w - 20 = -36. Calculate the highest common factor of c and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 616734, 1233467, 1850200, 2466933?\n\"Answer: 616733*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -59*z - 43884*z**2 + 42628*z**2 + 59*z. Let r(t) = -6*t**2. What is r(l(w))?\nAnswer: -9465216*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 - 2*s - 2*s + 113 - 131 + 2*s + s**4 - 2*s**3 to z*s**2 + w*s**3 + r*s**4 + y + d*s and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -9. Let i = -28 - r. Let u = 20 + i. Which is the nearest to -1? (a) u (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**3\/3 - 3*h**2\/2 + 4*h - 1. Let y(s) = 25*s - 5. Let m be y(0). Determine v(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 236 + -127. Let y = 1286 - 1258. Calculate the remainder when x is divided by y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2)*(0*o + o - 2*o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 5. Suppose p*l = -6, -4*x - x = 4*l - 18. Let b(j) = j**2 - j - 4. Calculate the remainder when x is divided by b(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1620 - -2?\nAnswer: -1618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**2\/15 - 1480*m\/3 - 1369000\/3 = 0.\nAnswer: -1850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 0)\/((-22)\/165*-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-920)\/(-120) - 5\/3. Suppose x*w - 12 = 258. Solve -5*t - w = -30 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60584095 and 2299.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (14\/(-5))\/(2241278\/(-186770) + 12)?\nAnswer: 2, 7, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.521, 0.5, -0.3 in decreasing order.\nAnswer: 0.521, 0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((2 - 5) + 6 - 5) + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 2*q + 4. Let p(z) = z - 2. Let d be p(-2). Determine s(d).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 16 = p - 4*p, -2*m + 12 = 4*p. Suppose -6 = 2*k, -k = -w - 1 + 7. Solve -n - 10 = 3*v - v, w*v + 25 = -p*n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**8\/20160 - r**7\/720 + r**6\/720 + r**5\/10 + 5*r**2. Let z(y) be the third derivative of o(y). Is z(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -126, -254, -382, -510, -638, -766?\n\"Answer: -128*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3.2. Let z = -32.7 - -35. Let w = z - 2.2. Is w equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6, -22, -72, -174, -346, -606, -972, -1462?\n\"Answer: -3*y**3 + y**2 + 2*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - -0.2. Suppose -4*a + 6 + 2 = 0. Let l be -1 - -1 - a\/(-12). What is the nearest to -3 in c, l, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 10:40 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 178508 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*b**3 + 21*b**2 + 28*b**3 - 54*b**3 + b**3 - 5*b**3 + 2*b**3 + 0*b**2 + 0*b**2 + 2*b**3 + (-1 + 1 + b)*(b**2 + b**2 + 0*b**2).\nAnswer: 3*b**3 + 21*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 1. Let z be j(-1). Suppose -10 = -4*l + z*l. Let n be l - -24 - 6\/2. What is the highest common divisor of n and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-207)\/(-30) - (15\/2)\/(17 + (-504)\/32).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.45 times 0.47\nAnswer: 0.6815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4*y**2 + 0*y**2 - 44763*y + 2412*y.\nAnswer: -4*y**2 - 42351*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 - 5*y + 7. Let m = -2 + 6. Let g be c(m). Let z = g + -17. Solve l - 3 = z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 3786*m**2 - 30 + 14 + 969*m**2 - 2*m to the form g*m + j*m**2 + h and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24.6 * 5.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-2\/3)*n*n)*n**(-2)\/n*(n*n**2)\/((n\/n**(-5))\/n))\/((n*n**0\/n)**27\/((n*n**1)\/n**(-3))) assuming n is positive.\nAnswer: n**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 - (3 + -4 + 15 + (-13 - -8)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 9:57 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 31*k - 3. Let p(f) be the second derivative of -217*f**3\/2 + 31*f**2 + 2*f + 621. Give -62*d(u) - 3*p(u).\nAnswer: 31*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 577331 to the nearest 10000.\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 7)*(2*p**3 - 2*p**3 - 2*p**4) + (-4 + 1 + 0)*(-p**4 + p**4 + p**4).\nAnswer: -11*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from {k: 1, l: 1, t: 1, s: 1, q: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 190 = -4*y, 0 = 3*y - 2*z - 2*z + 126. Suppose 3865*p - 3877*p = 636. Let t = y - p. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 5*r - 34 + 11 = 0, -u = -4*r + 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 245353 (base 6) to base 11\nAnswer: 15551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -79, -138, -231, -370, -567?\nAnswer: -834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 262303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 9.12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5881?\nAnswer: 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1123 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 910 = -95. List the prime factors of z.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/144*(-2)\/(-2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -36*s - 29*s + 63*s. Let p(k) = -19*k. Let x(j) = -j - j + j + 0. Let w(d) = -p(d) + 4*x(d). What is o(w(c))?\nAnswer: -30*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/30 and (-7)\/14 - 49\/(-24).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 2109*l + 3 - 14)*(-3*l + 3*l + 4*l).\nAnswer: -8436*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a + 3. Let l(m) = 133306*m. What is l(z(i))?\nAnswer: 799836*i + 399918","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 9 + 18. Solve -2*h - 5*w = -l, 5*w - 7 = h + 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1140 and 6.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.4 (b) 6\/5 (c) -1\/7 (d) 2\/3495 (e) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -8. Suppose c*v = 5*v. Suppose v = 4*y - 9*y. Put -5, 4, y in descending order.\nAnswer: 4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 21273 and 10.32 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1928, 0, -4985.\nAnswer: -4985, -1928, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 79 and 0.0393.\nAnswer: 79.0393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -82 (b) -75\/7 (c) -5\/3 (d) -5\/4 (e) -0.2 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 + 416*r**4 - 1 - 2*r + 3 - 415*r**4 to o*r + g*r**4 + j*r**3 + h*r**2 + y and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -0.0339.\nAnswer: -3.0339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 407\/753?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 12:04 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/15)\/z)\/z)\/z**(-6)*((z**(-5)\/z)\/z)\/(z*(z\/((z\/z**(2\/7))\/z))\/z) assuming z is positive.\nAnswer: z**(-436\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/11)*x**(-22)\/x)**(-18\/13))**(-17\/3) assuming x is positive.\nAnswer: x**(-26010\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -231033 (base 4) to base 5\nAnswer: -43040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.3, 39.19, -97, 4 in descending order.\nAnswer: 39.19, 4, 0.3, -2, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 18*c**2 - 39*c - 148. Calculate the least common multiple of i(-11) and 188.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/5320 and -67\/456?\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 10*u - 1. Let d be x(-11). Let s be 0 - 7\/d*4\/126. What is the nearest to 0 in -1\/3, -1, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1834060 is divided by 229254?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*z**3 - 50*z**3 + 98*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**3 - 6*a**2 - 5*a + 12. Let u(c) = -6*c**3 - 13*c**2 - 13*c + 29. Give -5*d(t) + 2*u(t).\nAnswer: 3*t**3 + 4*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llxllzzbwvwlzvvzvw. Give prob of sequence zl.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -2. Let k be (-40)\/(-25)*(-5)\/x. Suppose -3*i = 2*i. Put -3, i, k in decreasing order.\nAnswer: k, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1338 divide 9156923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*d + 4 = -6, 0 = 3*d - 3. Let u = -478 + 484. List the prime factors of (-65 + u + -3)\/c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91382660 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and (-2)\/((18\/21)\/(-3)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -368*r*v*y - 1271*r*v - 2*r*y with respect to y.\nAnswer: -368*r*v - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250, -602, -2022, -4010, -6566, -9690?\nAnswer: -13382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -5*x - 127*o + 126*o, 0 = -3*x - o + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35*(-5)\/(-280)*44\/220*(-4)\/22?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1003030 (base 8) to base 9\nAnswer: -441654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 947 - 12309\/13. What is the closest to 1\/5 in 0, a, -8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 196*q**2 - 5*q - 36. Is u(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*y + 10 = 4*j, 4*y = -4*j - 20. Let c(h) = j + 0*h + 3 - 6*h. Is c(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5 - 2\/5*p**2 - 2\/5*p**3 + 2*p.\nAnswer: -2*(p - 1)**2*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvwfvfvvfvvfv. What is prob of picking 1 v and 2 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 5*v**3\/6 - v**2 - v. Let t be x(2). Suppose 59 = z - 3*q, -2*q - 47 - t = -z. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + e?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -22*i**2 - 11*i. Let k(y) = y - 68*y**2 + 107*y**2 - 40*y**2. Determine h(l) + 11*k(l).\nAnswer: -33*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + 55. Suppose 5*j - 84 = -2*k - k, -5*j - 48 = -k. What is the greatest common factor of k and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 69933477, 69933481, 69933485, 69933489, 69933493, 69933497?\n\"Answer: 4*x + 69933473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -214306 (base 11) to base 15\nAnswer: -6b6e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 1:11 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -10*f - 55. Let o be q(-11). Suppose -10 = 54*v - o*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 13733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -15. Suppose 5*z + 4*q - 60 = 0, y*z - 3*q - 75 = -4*q. Find the second derivative of -z*s**4 + 11*s**4 + 5*s**4 + 4*s - 6*s**5 wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 4110.\nAnswer: -7\/2055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4743 and 612?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -149 - -5505. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 514863?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2606, -5178, -7740, -10286, -12810, -15306, -17768, -20190?\nAnswer: -22566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + sqrt(3) + sqrt(3) + -1) + sqrt(27)\/(5*sqrt(90)\/sqrt(10)).\nAnswer: -29*sqrt(3)\/5 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 0) + (16 - 13). Suppose -236 = u*j - 20. Let z be (-1035)\/j - (-1)\/(-6). Calculate the highest common divisor of z and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -16*f + 652. Let c be i(41). Sort 1, 121, c in ascending order.\nAnswer: c, 1, 121","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -60\/169427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*a - 3*p + 3, -2*p - 23 = -5*a. Solve -5*y + 12 = -a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2512203, -2512205, -2512207?\nAnswer: -2512209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*j**4 - j**2 - 219*j**3 + 220*j**3 + 1 - 5*j + 4*j to p + k*j**4 + g*j**3 + r*j**2 + w*j and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1294?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*y + 237*y = 702. Calculate the highest common factor of 90 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500 = -2*x - 2*x + 3*f, -3*x + 2*f = -376. What is the lowest common multiple of 22 and x\/(-48)*(-2 + 2\/4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2225094 to the power of 1\/2, to the nearest integer?\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w**8\/w))**30)**(-38) assuming w is positive.\nAnswer: w**5700","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48.9 + 64.9. Let z be (-1)\/(-4) + (-30)\/312. Which is the closest to 0? (a) z (b) -3\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122 + -120. Let v(a) = -a**3 - a**2 + a. Let n(q) = 3*q**3 + 2*q**2 - 2*q. Suppose 5*h + 1 = 6. What is g*v(x) + h*n(x)?\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -10. Suppose -y - 419 = -417. Let w be (-5 + -11 + 8)*y. Solve -4*l + w = 5*h, 3*h - k*h = 2*l - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 10*m**2 - 7 + 3*m + 9 - 9*m**2. Suppose i + 3 - 1 = 0. Calculate g(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 3*g**2 - 2*g**2 - 18*g**2 + 25*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13765, 13738, 13653, 13480, 13189, 12750?\n\"Answer: -5*a**3 + a**2 + 5*a + 13764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 650, 382, -474, -2212, -5126?\nAnswer: -9510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 3*k - 3. Let b be p(3). Suppose -10 = 2*z - c, 3*z + c = 4*c - b. Suppose 5*f + a - 20 = -5, -3*f = -2*a - 9. Sort 4, f, z.\nAnswer: z, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-12 + -5 - 1)) + 1 + -7?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2571 + 3663. Does 21 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/2)*q**(-14\/9))\/(q**28\/q*q\/(q*q**(-5)*q*q)) assuming q is positive.\nAnswer: q**(-595\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 891 divided by -628.\nAnswer: -891\/628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 747\/39 - 1 - 6\/39. Calculate the highest common factor of 45 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y + 10. Let i(p) = 11*p - 31. Give -3*i(x) - 8*n(x).\nAnswer: -x + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 34, 30, 26, 22?\n\"Answer: -4*z + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 4. Let c be (-1762)\/(-16) - (-6)\/(-8). Let z = c - 109. Which is bigger: z or j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3407555 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 176843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 203430 and 228.\nAnswer: 7730340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1743199*j*s**4 + 31*j - 11093*s wrt s?\nAnswer: -20918388*j*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**7\/840 + y**5\/120 + y**4\/4 - 3*y. Let w(g) be the third derivative of d(g). Differentiate w(x) wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262771?\nAnswer: 71, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28826 + 14504. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21 + 9*a**3 - 4*a**3 - 7*a**3 - a**2 + a**2 - 2*a**3 + (-a - a + 4*a)*(4 - 2*a**2 - 4).\nAnswer: -8*a**3 + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -1130*w**2. Let i(p) = 12*p**2. Determine r(i(n)).\nAnswer: -162720*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -64, 9, -1 in increasing order.\nAnswer: -64, -1, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19423662 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2324775811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 17\/266 (b) -115 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -3.9 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -33718.8411 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 284*y + 470*y + 258*y + 513*y to the form s + x*y and give x.\nAnswer: 1525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(-3*-1*sqrt(3))*1 + -3.\nAnswer: -3 + sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 3*z + 16 + 19.\nAnswer: 3*z + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6415 + -30?\nAnswer: 6395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128 by 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 96850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 923058.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**4\/14 + 2*u**3\/7 + u**2\/7 - 6*u\/7 - 41. Determine h so that m(h) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681085147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 12 = -0*i. Suppose 5*f + 558 = 5288. Suppose -4*s + f + 377 = -5*h, 1328 = i*s - 4*h. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-3)*3\/(-1). Let m be w\/5*20\/8. What is the third derivative of -4*p**3 + 2*p**6 + m*p**3 + p**2 wrt p?\nAnswer: 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482358941 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*f + 8\/5*f**2 - 18\/5*f**4 - 14\/5*f**5 + 0 + 24\/5*f**3 = 0. Calculate f.\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 37, -83, -313, -689, -1247?\nAnswer: -2023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 18 = 4*a - 4*s, 4*a - 3*s = 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -428 + 597. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62261887 to the nearest integer?\nAnswer: 7891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3696911212829 minus -0.4?\nAnswer: -3696911212828.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -4. Let k be 1 - ((-2 - 0) + c). Let a = k + 2. Solve l = -a*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, -2\/7, 0.57598, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1041807 (base 9) to base 10.\nAnswer: -559069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n + 4. Let w(s) = -2*s. Give l(c) - 6*w(c).\nAnswer: 19*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*k + 3 = 0, 3*k - 37 = -2*t - 3*t. Solve 0 = 5*v + 2*r + 30, 4*v - 3*r = -t*r - 26 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49381885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d**3 + 2*d**2 - 2*d. Suppose 2*b - 42*b - 240 = 0. Let i(r) = -20*r**3 - 7*r**2 + 7*r. Calculate b*i(s) - 21*k(s).\nAnswer: -27*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 12, c: 7}. Give prob of picking 3 q.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 0, -2*r = -111*f + 113*f - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l - 5. Let g be a(7). Suppose -3*b - 156 = -3*o, g = -2*o - b + 128. Suppose 2*p - 127 = 25. What is the highest common divisor of p and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2 + 18. Calculate the greatest common factor of p and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + m + 4. Let c be p(3). Suppose 4*j - 2 = 3*w + 10, 0 = -4*w + 2*j - c. Put -2, w, -3 in descending order.\nAnswer: -2, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -5*b**3 - 47835*b**2 - 122977575*b - 40187211345 = 0?\nAnswer: -4593, -381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8915 - -8921. Which is the biggest value? (a) -0.83 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32.07 - -30.07. Let c = -0.5 + -0.5. What is the nearest to c in 7, d, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -473 in descending order.\nAnswer: 0, -3, -473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 + r**3 - 2*r**2 + (0*r**2 + 3*r**2 - 4*r**2)*(3*r - 5*r + r) + 2*r**2 - r**3 + 0*r**3 + 7*r**3.\nAnswer: 8*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 6:51 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 4. Let f = -18 - c. Calculate the greatest common factor of 24 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2 + (-12)\/(-8). Let g be (-16)\/(-40) + (-26)\/(-10). Solve -g*v = -t - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 642824.213 to the nearest 10000.\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/8, 0.7, 0, 4, -5, 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2. Let r(k) = -375*k - 24. Let i(b) = -375*b - 20. Let y(j) = 6*i(j) - 5*r(j). Calculate y(l(v)).\nAnswer: 750*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 56\/(-30) + 2 + 10552\/60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/117720 and -37\/1948920.\nAnswer: 17540280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 21*a**2 + 3*a**2 + 4*a**2 + a**2 + 23*a**2.\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 4*z + 6. Let a(r) = 18*r + 36. Let q be a(1). Suppose q = -3*t + 36. Give v(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12587.\nAnswer: 41, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 17, -0.3, 4\/7?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0199757 * 0.4.\nAnswer: 0.00799028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, u: 1, x: 1}. What is prob of sequence uo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/205818434 and -70\/3.\nAnswer: 617455302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 4*f = 4, 692*f - 28 = 4*d + 696*f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**5 - 7*k**5 + k**5)*(0 + 5 + 3) + (2*k**3 - 2*k**3 + 4*k**4)*(-34*k - 136 + 136).\nAnswer: -160*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*d = -27, d = -5*a - d - 28. Let f be ((-846000)\/(-9))\/(4\/a). Round f to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 4*m + 16, 3*y = 4*m - 27 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -8 - (-8 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38032130?\nAnswer: 2, 5, 179, 21247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 1)*1\/3. Solve -g = -v*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12854198 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 500515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 269255*g + 705780720.\nAnswer: 5*(g + 2763)*(g + 51088)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29.79108 centuries?\nAnswer: 297.9108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 489 = 2549. Let o = n + 3032\/7. Is o bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 62202 = -3*u. Let v = 93101 - u. Round v to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n + 1. Let w be 3\/(-9) + (-4)\/6. Let x be h(w). Let o = x - -10. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 45, 111 in ascending order.\nAnswer: 22, 45, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 246 - 269.4. Let a = v + 23. What is the third biggest value in a, 0.03, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 n when three letters picked without replacement from nfpppfffnpppnppnsn.\nAnswer: 35\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**4\/12 + 5*t. Let h(k) = 5*k. Give w(h(b)).\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1654*m - 1652*m + 46 = 4*d, -99 - 1 = m + 75*d for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2658 - -2700. What is the greatest common divisor of 6720 and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/9*(-30)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13, -20, -21, -16, -5?\n\"Answer: 3*f**2 - 16*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*g - 14815 - 44*g**3 + 44*g**3 + 5948 + g**4 - 2*g - 731*g**2 wrt g.\nAnswer: 4*g**3 - 1462*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2 = 2*k, -2*g - k = -11. Let i(o) be the second derivative of -o**4\/12 + o**3\/2 - 24237*o. Determine i(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 23*b. Let w(q) = -4*q**2 + 4*q + 2. Let v(z) = -3*z**2 + 6*z + 3. Let l be (-242)\/88 - (1\/(-1))\/(-4). Let s(o) = l*w(o) + 2*v(o). What is s(h(t))?\nAnswer: 3174*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.56 in -0.5, 5, 39?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000192244 rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -8. Let y(t) = 2*t - 9 + b + 8. Let i(g) be the third derivative of -g**4\/6 + 28*g**2. Calculate y(i(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139147818.\nAnswer: 2, 3, 23191303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - -1)\/(1\/1). Suppose 0 = 16*w - 11*w - 35. Suppose w*d - r*d - 8 = 0. Solve 2*i - 4 = -d*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15 - (6\/8 - (-45)\/20). Let m(u) = -300*u. Let l be m(-1). Let g = -168 + l. What is the highest common factor of g and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 9. Let q be s(8). Let n be (-6)\/(-3)*4 + q. Let a(d) = n - d + 1 - 7 + d**3. Give a(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 910.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 - 8*c + 4. Let y(s) = 2*s**2 - 3 - 6 + 6*s + 5*s - 4*s + 6. Determine 4*q(g) + 5*y(g).\nAnswer: 2*g**2 + 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/10 - 2*n**3\/5 + 8*n\/5 - 8\/5.\nAnswer: (n - 2)**3*(n + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 9*i + 9. Let l = -24 - -16. Let n be v(l). Suppose r + n = 3. Let b(q) = -2*q**2 + 2*q - 3. What is b(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r**2 - r**2 + 0*r**2)*(r - 3*r + r)*(-6 + 1 + 1) as u*r**2 + x*r**3 + m*r + g and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -266, -592, -1050, -1646, -2386, -3276?\nAnswer: -4322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 585 and 20?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4837086824 - 0.7.\nAnswer: -4837086824.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**3*s**3 + 28*o**3 - 4*o**2*s**2 + 323*o*s**6 + o wrt s?\nAnswer: -6*o**3 + 38760*o*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 132 - -1404. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5\/11 - 6*r**4\/11 - 3324*r**3\/11 + 75908*r**2\/11 - 513030*r\/11 + 1080450\/11 = 0. What is r?\nAnswer: -49, 5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2102*h = -p + 2100*h + 13, -2*p + 61 = -3*h for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*5*4\/5. Sort 3, 1, v in descending order.\nAnswer: v, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9540\/13 - 734. Let o = -17.2 + 17. What is the nearest to z in -1\/4, -2\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + v. Let f = 26567 - 26563. Let y(j) = -j**2 - 3*j. Calculate f*y(s) + 9*r(s).\nAnswer: 5*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i = 43*i - 20 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0052405 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1\/6, 0.5, -2.2, 8, -99?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -692*s**4 + 0 + 7 + 565*s**4 - s**2 - s**4 + s**2 + (-3*s + 0*s + 2*s)*(-2*s**3 + 1 - 1).\nAnswer: -126*s**4 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -697*i**2 - 546*i?\nAnswer: -1394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0244 + 0.0434. Put -2, -5, g, -0.2 in descending order.\nAnswer: g, -0.2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w. Let z(x) = 6*x**2 - 2*x - 2. Let g be 1 + 0 + 2 + 0. Let h(u) = -4*u - 1 + 0*u + g*u + u**2. Let i(y) = -2*h(y) + z(y). Determine i(a(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 >= -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02537629 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10 - -9)\/((-9)\/45). Solve 2*q = 2*t + 1 - 5, 3*t = k*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -177 + 202. Suppose 0 = 14*g - 73 - a. Solve -3*p = 9, 3*c = -3*p + g*p + 15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 13209034207\nAnswer: -13209034201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyy. Give prob of picking 2 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8*l**2 - 2*l - 1. Let u be t(-1). Let c(x) = -x**2 - 4*x + 7. Let y be c(u). Let v be (-1)\/(1 + y\/12). Solve 5 = v*o - o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 4*m. Let x be 8 + -4 + m - 2. Find the third derivative of 12*s**4 - 6*s**2 - 5*s**4 + 7*s**2 + 9*s**x wrt s.\nAnswer: 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -488.5 - -407. Let y = -81 - s. What is the third biggest value in y, -1, 0.13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24584.6021 - -24586. Let m = p - -0.0571. Round m to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -834, -808, -782, -756, -730?\nAnswer: -704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -3*z**2 - 2*z + 2. Let p(u) be the first derivative of 7*u**2\/2 + 2*u + 4. Let x(h) = -5*m(h) - 4*p(h). Give x(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/6)\/(2\/12). Sort l, -1, 4.\nAnswer: -1, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8210549 is divided by 127.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -47*d - 869. Calculate m(-19).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (55\/99)\/(5\/15*5). Which is the nearest to z? (a) -4 (b) -1\/7 (c) -3\/4 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**4\/22 + 10*f**3\/3 + 174*f**2\/11 + 1601. Suppose x(z) = 0. Calculate z.\nAnswer: -3, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4 - 4*h + 10*h - 3 + 2. Let g(b) be the first derivative of -1\/2*b**2 + b - 1. Give -4*g(l) - o(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3 + 32446*a + 32442*a - 64884*a. Let z(i) = i**2 + 4*i + 3. Determine 3*y(p) - 2*z(p).\nAnswer: -2*p**2 + 4*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -136.95 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 1:02 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -20*f + 14. Let u be a(5). Let c = u - -126. What is the highest common factor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26015 + 26013.61247. Let f = g + 1.4632. What is f rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h**2 + 2*h - 3. Is i(2) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -812*h + 111078. Give y(137).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6871304?\nAnswer: 2, 11, 113, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, n: 3, w: 3, j: 1, z: 1}. Give prob of sequence wzr.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2999171.\nAnswer: 7, 157, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -2772?\nAnswer: -5544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 123*j. Let g(a) = 51*a. Let r(x) = 12*g(x) - 5*n(x). Let m(b) = b**2 + 5*b + 153. Give r(m(z)).\nAnswer: -3*z**2 - 15*z - 459","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 135*a**2 - 1365*a + 26. Give n(11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/6 + 657\/6. Suppose -4*s + 91 = -d. Suppose -t = -s + 4. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 - 43. Let w(y) = -y**2 + 4*y**2 - 2*y**2 - 5*y**l. Let x(r) be the first derivative of r**2\/2 - 1. Calculate x(w(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*x + 4*t, -4*x - 8 + 25 = 5*t. Suppose 0 = -x*q + q + 35. What is the remainder when 16 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + z = -8. Let r be -4 - (3 - (32 + z)). Suppose -r = -5*f + 3. Solve -2*i = -f*i + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393041841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a century?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -642 by 107.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5101970267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 9973 = 2*a, -271*a - 14964 = -274*a + 5*j. Is a < 4977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 3*p - 15, 73*p - 68*p - 6*b - 25 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 98. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**7\/168 + o**6\/80 - 19*o**5\/240 - o**4\/4 - o**3\/6 + 21*o**2. Solve g(v) = 0 for v.\nAnswer: -2, -1, -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4852.99 litres?\nAnswer: 4852990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 290, 299, 322, 365, 434, 535?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/1773 and 77\/5910.\nAnswer: 17730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from esssvvv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (531\/(-54) + 10)*18. Sort f, -842, 4 in ascending order.\nAnswer: -842, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5\/5 - 399*a**4\/10 + 4943*a**3\/5 + 3909*a**2\/10 - 3590*a + 2250 = 0. Calculate a.\nAnswer: -9\/4, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*-12*3\/54. Let w = -7 - -10. What is the closest to 0 in w, t, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (78 - 2 - (95 - 93)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r - 1. Let v(p) = 4*p. Determine 2*k(j) + 3*v(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 726311610.22.\nAnswer: -726311609.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, h: 2, o: 1, l: 4, d: 1, p: 3}. Give prob of sequence lodh.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1904\/3 - 298922\/471. Let s = -461\/785 - j. Which is the nearest to 2? (a) s (b) 1\/10 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51 or 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 40*w + 25. Calculate the remainder when 4\/(19\/18 - 1) is divided by v(-20).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 661*c**3*r**2 - 2*c**2*r**2 + c**2 - 255*c*r**2 wrt c.\nAnswer: 3966*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - u**2 + 2*u - 4. Calculate the remainder when 118 is divided by o(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 3. Let q(p) = 3*p - 3*p - 2 + p. Suppose -2*x - 56 = -w, 3*x + 3*w = -2*x - 162. Let i be (1\/2)\/(3\/x). Give i*q(j) - 4*v(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**3 - 2*a - 3*a**3 + 1 + 6*a**3 + a**3. Is l(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10\/3 - 32\/9. Are q and -0.289 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5 - 7 = 0. Let t(f) = 5*f**2 - 7*f + 5. Let q(r) = 4*r**2 - 742*r + 727*r - 4*r**2 + 11*r**2 + 11. Calculate g*q(v) + 13*t(v).\nAnswer: -v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**3 - s**3 - 4*s**3 + 558 - 40*s**3 - 558 + (s**2 - s + s)*(4*s + s - 3*s).\nAnswer: -39*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 453, 900, 1337, 1758, 2157?\nAnswer: 2528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 24. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/30324 and 25\/336.\nAnswer: 121296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q + 49*k - 54*k = -67*q + 168, -q + 4*k = -15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 8 - 5 = 2*v, r + 26 = -5*v. Which is greater: -9 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440 divided by -252533.\nAnswer: 440\/252533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 1111*m**3 + m - 136*m**3.\nAnswer: -1247*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 21 - 109 = 0. Suppose 178 - 634 = -19*n. Is a less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17362, -511, -30298, -71999?\nAnswer: -125614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*f*n**2 - 7*f*n + 72*f + 4*n**2 - 17*n - 4 with respect to f.\nAnswer: -5*n**2 - 7*n + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.12 - 0.2. Let c = 0.51 + -0.19. Let a = o + c. Sort a, 3\/7, -0.3, 2\/3.\nAnswer: -0.3, a, 3\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 374 + 345*p - 208 - 215 wrt p.\nAnswer: 345","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*k - 56, y + 2*k = 5*y - 112. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -3\/11 (c) -0.1 (d) 0.1 (e) 2\/9 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1773 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*u - u - 20, -4*h + 16 = 4*u. Let i = 1.2 - -1.8. What is the closest to 1 in i, 4\/3, u?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14204873*a**4 + 9250875*a wrt a.\nAnswer: -170458476*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.3 (b) 151 (c) 5 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -214711.585 - 0.5?\nAnswer: -214712.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3 = -3*s + 35, 3*h + 19 = s. Suppose m - m = -4*m. What is the first derivative of -9*c**s - 3 + m + 6*c**4 wrt c?\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 10:43 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v + 38. Let j be g(18). Let s(f) = -3*f + 144 + j*f - 2*f - 141. Let b be s(-2). Solve -4*a + 4 = q - 1, -b = 3*q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -t**4\/4 - t**3 + 24*t - 14. What is the hundreds digit of h(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2967 and 61829313.\nAnswer: 2967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -76*m**2 + m**4 + 76*m**2 + (0*m**4 + 0*m**4 - 2*m**4)*(-4 + 1 + 4) + (3*m**3 - 5*m**3 + 3*m**3)*(2*m + 3*m - 3*m).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.024 + -162.8778.\nAnswer: -162.8538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x**2 + 20*x - 103. Let h(t) = 11*t**2 + 31*t - 155. Let d(i) = -5*h(i) + 8*u(i). Determine d(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 0.23.\nAnswer: -18.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172661 is divided by 171637?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 4, 111, -1, 206.3, -2\/65?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369 a factor of 31791265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + i - 4 - 0, 3*m + 5*i = 18 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.7 + 22.7. Sort 2, -0.5, 5, v in increasing order.\nAnswer: -0.5, 2, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.4 (c) -5 (d) -3 (e) 0.37 (f) -56.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ptpptptptttptttp. Give prob of sequence ttpp.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 3\/4*q**5 + 0 + 0*q**3 + 10*q + 7*q**2 + 0*q**4. Differentiate k(g) wrt g.\nAnswer: 45*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -28*m - 34*m + 10*m - 176 + 73 + 83 - 3*m**2. Determine o(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 450 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*j = -41, -p - 4*j = -4*p + 5. Let q = 761 - p. What are the prime factors of q?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**2 - 39*p + 204 = 0. Calculate p.\nAnswer: -17, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 30. Let o(s) = 92*s - 511. What is -34*a(n) - 2*o(n)?\nAnswer: -218*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14294 divided by 1016?\nAnswer: -7147\/508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362007 a multiple of 2763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 16*n - 17. Let l be s(-17). List the prime factors of (-220)\/(-44)*(464\/5 + l).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -37 - -3250?\nAnswer: 3213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1984 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 2*p - 2*p)*(102 + 105 - 180) + (p + 0*p + 2*p)*(-4 + 3 - 6) as s*p + y and give s.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/257448 and 68\/87.\nAnswer: 7465992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*m + 6*m**2 - m - 5*m**2 - 3*m**2 to l + k*m**2 + g*m and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-10))\/c)\/(c\/c**1))**(1\/37) assuming c is positive.\nAnswer: c**(10\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 16) + 18 + 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -3 (c) -28\/205\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/8)*h**(1\/7)*(h*h**(-3)*h)**(-12))**48)**(3\/14) assuming h is positive.\nAnswer: h**(6687\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -341, -2, 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83511 is divided by 41750.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**6\/6 + 71*l**5\/2 + 25205*l**4\/12 + 327*l - 1. Suppose n(u) = 0. What is u?\nAnswer: -71, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*d = 165*d + 181*d + 340 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 366528 divided by 736?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*t + n, 3*t = -3*n - 2*n + 26 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2)*n*(n\/n**(2\/13))\/n assuming n is positive.\nAnswer: n**(-15\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 37*q**3\/6 + 3*q**2\/2 + 2*q + 331. Let y(d) = 29*d. Determine a(y(k)).\nAnswer: 1073*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (35\/(-14))\/(2\/(-4)). Let o = i + 3. Suppose 5*h - 112 = 248. Calculate the highest common divisor of h and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*d**2*m**3 - 193*d**2*m**2*y - 136*d**2 + 2*d*m**2*y + 8*d - m**3 + 485*m**2*y - 105*m wrt d.\nAnswer: -32*m**3 - 386*m**2*y - 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 37. Calculate the smallest common multiple of h and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 + -100. Suppose t = -37*m + 39*m - 18. Suppose -m*x + 24 = -x. Solve 0 = 5*o + 20, 6*i - x*i - 5*o = 26 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 240750 = -124250. Round v to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266693411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x. Let p(f) = f**2 + f - 1. Let g(i) = -2*i**2 - 1 + 1 + i**2 - 2*i + 2. Let n(r) = g(r) + 2*p(r). Give n(j(c)).\nAnswer: 25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15, -5, 3, 9, 13?\n\"Answer: -v**2 + 13*v - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**3\/3 - 2*k**2 - 18*k + 3. Determine r(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 * 0.003.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 95*y - 458. Determine f(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {p: 1, d: 2, l: 1, z: 2, t: 1, a: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1499 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23170 and 33185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**20*y*y**(1\/9)*(y**(-2\/29)*y)\/y**7 assuming y is positive.\nAnswer: y**(3926\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**6 + w**3 + 1. Let z(a) = -29*a**6 - 4*a**3 + 47*a**2 - 4. Let n(j) = -12*o(j) - 3*z(j). Find the third derivative of n(d) wrt d.\nAnswer: 11880*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 313*u - 314*u + 12, 2*z + 12 = 5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 0)*15\/6. Suppose -8*o + 4*o = -20. Suppose -10 - 10 = -o*r. Put 3, m, r in increasing order.\nAnswer: 3, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109718*t**4 + 3*t**3 + t + 43205 wrt t.\nAnswer: 1316616*t**2 + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-739988)\/(-36)*(-3)\/4. Let v = -37753 + 22349. Let k = v - z. What is the common denominator of 93\/4 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -134390*s**4 - 135138 wrt s.\nAnswer: -537560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -525759\nAnswer: -1\/525759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 102520528.8 less than 0.498?\nAnswer: -102520528.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 210*w**4 + 0*w**2 - 7*w**2 + 4*w**2 - 2*w + 2*w**2 - 3 + 4*w**3 + 31*w**4 to the form g + o*w + b*w**4 + m*w**3 + h*w**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 218\/4360*16\/(-10)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -1\/3*b**3 - 7\/2*b**2 - 6*b + 0. What is the units digit of p(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 53 - -21 - -18 - 70.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.43 + -216.57. Let w = q + 226.7. What is w rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -748, -752, -758, -766, -776, -788?\n\"Answer: -m**2 - m - 746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2\/5*x**3 + 14\/5*x + 12\/5*x**2 - 24 = 0.\nAnswer: -3, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 12661427175483.\nAnswer: 12661427175486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 649 divided by 7?\nAnswer: 649\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 318646 - -87936.82?\nAnswer: 406582.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -7 - (-2 - -1 - 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76167.1 - -76005.074625. Let o = a - -162. Let i = -0.025 - o. Round i to five dps.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -p + 4*p. Suppose 4*y + 2*c = -10, -3*c - p = y - 5*y. Factor -1\/5*s**2 + 0*s + y.\nAnswer: -s**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 15*x**3 + 2*x - 3. Let j be 4\/6 - (16\/(-3) - -5). Let b be s(j). Suppose -5*i = 6 + b. Let t(m) = -m. Determine t(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 424*r**5 + 129*r - 6. Let p(u) = u**5 + u + 3. Let o(n) = -f(n) - 2*p(n). What is the second derivative of o(t) wrt t?\nAnswer: -8520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*q + 18, 3*y + 2*y = -2*q + 12. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*x**5 - 13*x**5 + x + 66*x**5)*(-3 + 0 + 4).\nAnswer: 29*x**5 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129600*q + 27*w = -129585*q + 417, 4*w - 59 = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.285 + -2.085. Which is the nearest to 2\/21? (a) i (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84011892.\nAnswer: 2, 3, 17, 411823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a year in months?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -9. Suppose 0 = 4*o + 2*t - 8, 8 - 2 = 3*o - q*t. Let i = -7 - -13. Solve 0 = -0*z + o*z + i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203410314 (base 5) to base 16\nAnswer: cd676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -7*r**2 - 1. Let z(m) = 8608*m**2 + 8165*m - 4. Let k(n) = -4*g(n) + z(n). What is the second derivative of k(d) wrt d?\nAnswer: 17272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4531, 4513, 4495, 4477, 4459, 4441?\nAnswer: 4423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(1*(-3)\/3). Let u be -24*(0 + v + 2). Let f be (u\/(-50))\/((-2)\/10). Calculate the greatest common factor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126\/11 > 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(1\/4)\/a)*a\/a**(-2\/13))\/(a**(-1))**34*(a**(-1))**(-3)\/((a*(a**(5\/6)*a)\/a)\/a*a**1) assuming a is positive.\nAnswer: a**(5783\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, t: 4}. What is prob of picking 3 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 + 4 + 33)*(0 + 2 + 0)*(-3*g**3 - 6*g**3 - 2*g**3)*(-3 + 2 - 1) to s + t*g**3 + w*g**2 + i*g and give t.\nAnswer: 2464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.03 (b) 10\/9 (c) 3 (d) -0.5 (e) -10\/9 (f) 18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0, 127\/3, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 0. Let z(n) be the second derivative of -n**3\/3 - 2*n. Let f be z(j). What is the nearest to -1\/2 in 1, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032942 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9035?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -30.5. Which is the second smallest value? (a) 1\/7 (b) s (c) 2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/6 and 43\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19089 is divided by 2300?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(500) + sqrt(500)*-1) - (-1*sqrt(500) + sqrt(500) + sqrt(500) + 0))*-3)**2.\nAnswer: 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 33*p**2 - 44*p + 4023. Determine u(35).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 403997*p**2 + 75357*p**2 + 1.\nAnswer: 479354*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4) - ((-4)\/8 - 1). Suppose p*u = 8 + 2. List the prime factors of ((-19)\/4)\/(u\/(-40)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from {e: 4, s: 3, i: 3, q: 1, c: 3, z: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6*y - 43. Let p be h(8). Let z be (-1 - p)*((-22)\/6 - -3). Suppose 0 = -0*s + 3*s - 9. Sort s, z, 0, -4 in ascending order.\nAnswer: -4, 0, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(55))\/sqrt(5).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 0*u + 6*u)*(50*u - 4 - 3 + 7).\nAnswer: 200*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -150, -138, -126, -114?\n\"Answer: 12*h - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5918543 is divided by 11696?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -8*f + 19. Calculate the remainder when 31 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 11. Let w = -5.88 + i. Let s = -4.88 - w. Which is the nearest to -0.2? (a) -3\/4 (b) -1\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59155420.\nAnswer: 2, 5, 53, 55807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 58889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -147, 1, -5, -5\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2778, -277, -5, 1 in decreasing order.\nAnswer: 1, -5, -277, -2778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7*b**2 - 10*b + 16. Let y(z) = -4*z**2 - 5*z + 8. Suppose -4*n + d = 17, 0 = d - 5. Let r(c) = n*l(c) + 5*y(c). What is r(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -6. Suppose -v - 76 = 4*j, 46 = -3*j + 2*v - 22. Let p be -19*1\/(-4) + (-5)\/j. Solve 3*k + p = -n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 5)*(0 + 0 + 2*u) - 2*u + 0 + 0 - 184*u + 2501*u - 12620*u.\nAnswer: -10309*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21234 is divided by 758?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*j + 131 + 826 = 57 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -189, -188, -181, -162, -125, -64, 27, 154?\n\"Answer: p**3 - 3*p**2 + 3*p - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -369, -7\/15, 0 in increasing order.\nAnswer: -369, -7\/15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42378588 and 253764?\nAnswer: 42378588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j - 27. Let o(g) = g - 9. Let s(n) = -4*k(n) + 11*o(n). Let v be s(7). Find the second derivative of 12*p - 2*p**4 - 24*p - 8*p**5 + v*p**4 wrt p.\nAnswer: -160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 + 92 + -101 + 13.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from cccccecvveuu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 65*t**2 - 11*t - 30. Is h(-2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 345 = p, -2*n + 473 = 2*n + 3*p. Let i = -45383\/2708 + 6\/677. Calculate the common denominator of i and (3\/16)\/((-2)\/n).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 0. Suppose -3*f + 3*n + 115 - 15 = -218, -5*n = 95. Solve 0 = -q*d - 95 + f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -15 (b) -2 (c) 0.3 (d) 1\/4 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 39. Let z(l) = -23*l**2 + 532*l - 3. Give z(h(a)).\nAnswer: -23*a**4 + 2326*a**2 - 55734","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 + -55. Calculate the remainder when 55 is divided by (-10)\/n*(-5 - -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*q - 251, 5*g + 6*q - 3*q - 1255 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 9*u + 7*u = -968, 3*a - 732 = -3*u. Calculate the highest common factor of 930 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 201 = 87. Let o be 3 - (0 + i\/44). Suppose -2 = -2*l - 2*f, -4*f = 21*l - 19*l + 6. Which is the closest to 2? (a) o (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q**2 - 11*q + 2. Let r(s) = s**3 - 15*s**2 - 56*s + 32. Let p be r(18). Let a(y) = -3*y**2 + 5*y - 1. What is p*g(b) - 9*a(b)?\nAnswer: -b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4562 (b) 478 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 365791 < 365796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/183 and -19\/54.\nAnswer: 3294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 979.303 decades in years?\nAnswer: 9793.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/4, -0.2, -4\/5, -360 in descending order.\nAnswer: 1\/4, -0.2, -4\/5, -1, -360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - -0.1. Let a = 0 - z. Let u = a - -0.1. Is -1 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1))**(-16\/5)\/(s\/s**(2\/7))**(-3\/7))\/((s\/(s**0\/s))**(-9)\/((s\/(s**(1\/2)*s))\/s**(-1))) assuming s is positive.\nAnswer: s**(10783\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 2\/33 (c) 2570\/7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 l, 1 b, and 1 o when four letters picked without replacement from siboldd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -36 (b) -0.1 (c) -1\/4 (d) 0.04 (e) 81 (f) 24 (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 0 = -3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39184281 a multiple of 964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**4\/24 - s**3\/2 + 13*s**2. Calculate w(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12721 or -12722?\nAnswer: -12721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 743073 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1006891146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -2*n - c, 0*n = 4*n + c - 107. Suppose -4*q = -5*l - 41, 4*l + n = q + q. Factor v**2 + v**2 - 31*v**4 + v**5 + 29*v**q - v.\nAnswer: v*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -50, -116, -198, -290, -386, -480?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 32 = -4*w, w - 4 - 6 = -5*m. Let f be 2\/w*(-2 - -12). What is the remainder when 9 is divided by (-3)\/(((-36)\/(-15))\/f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 401 or 400?\nAnswer: 400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(2\/5)))**(1\/20)*(o**6\/o)\/(o*((o**(-2\/11)\/o*o)\/o)\/o) assuming o is positive.\nAnswer: o**(3411\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -81, -77, -73, -69?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 102*k**2 + 16*k - 6. Let l be h(-5). Suppose 2*g - l - 1414 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 30*m + 3. Let q be a(-2). Suppose -7 = x - 3*c + 63, 5*c = -6*x - 305. Let f = x - q. Solve -g = -f - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*m = -27, m - 19 = -4*s + 2. Suppose -74 - 321 = -s*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:47 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + (sqrt(2299) - (sqrt(2299) + (sqrt(2299) + 1 - sqrt(2299))))) + 0 + -3 + -4)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93424 is divided by 7151.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 2*c**5\/5 - 5*c**3\/6 + 6*c. Find the second derivative of u(k) wrt k.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 + 10*u**3 + 2*u - 574 - 191*u**2 + 584 - 6*u**3 in the form v*u**2 + n + s*u + k*u**3 and give v.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20766 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l + l - 6*l - 5*l. Calculate y(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11843*r**5 - 701*r + 7 wrt r.\nAnswer: -236860*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.7 + 3.6. Which is the second biggest value? (a) 5 (b) 9 (c) y (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and 0.1758.\nAnswer: -0.012306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 59 = -a - 576, -5*i + 2*a = -1295. Calculate the highest common factor of i and 174.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**4\/6 - 2*f**2. Let k be m(3). Suppose -2*b = 2*b - k. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -33*y - 820. Determine f(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44282 divided by 4?\nAnswer: 22141\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 43*w - 258. Let y be f(6). Solve y = 4*t - 3*t - 2*p, -2*p = 2*t + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -3 + -3 + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2736 and 8208.\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17971 is divided by 2559.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmmimwrrrwrr. Give prob of sequence wmmr.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**3 - 2910341*a - 35*a**2 - 41*a**2 + 2910338*a in the form f*a**2 + y*a + g + l*a**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + sqrt(1008)).\nAnswer: 2 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49487, -83873, -118259?\nAnswer: -152645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*h - 192 = 0. Let r be (-3)\/5 - h\/(-105). Suppose -8*y + 3*y = 0. What is the closest to y in r, -2, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -18*l**3 + 2*l + 1. Let x be (-5)\/6 - 5\/30. What are the prime factors of o(x)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-396)\/102 - -4 - 10062\/2295 and (3\/(-23))\/(9\/(-74)).\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43794?\nAnswer: 2, 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325794?\nAnswer: 2, 3, 7, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93100.64g to micrograms.\nAnswer: 93100640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -640, -631, -600, -535, -424, -255, -16, 305?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -55*a + 329 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -564 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3\/3 + c**2\/3 - 10*c\/3 + 8\/3 = 0 for c.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10 - 4 - (-2)\/(-2). Suppose 0*g + a*g - 10 = 0. Suppose 330000 = u + g*u. Round u to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52588977513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, o: 5}. What is prob of sequence aa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -847*a - 4516*a - 257424 for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + sqrt(66)*-1*-1 + -1*(sqrt(66) + sqrt(66) + -2*sqrt(66)))\/(sqrt(30)\/(-1*sqrt(30)\/sqrt(6)))*6.\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = n - 5*a, -84 = -0*n - 2*n - 2*a. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47141668?\nAnswer: 2, 7, 1683631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 12 + 41 - 14 - 9.\nAnswer: 4*r + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 17*k**2 - 4247*k - 9311. What is u(252)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -144*p + 131. Let z be j(-31). Suppose z = 3*d - 4*s, d - 4*s = -9*s + 1519. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -17?\nAnswer: -7\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 688366300 divided by 34418315\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**4\/4 - 20*s**3\/3 + 67*s**2\/2 - 37*s - 137. Let z be p(-23). Let b(k) = -3*k + 3. Calculate b(z).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -75\nAnswer: -4\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -88376 divided by 5494\nAnswer: -44188\/2747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 + 36*n**2 - 60*n - 100.\nAnswer: -4*(n - 5)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35195 + -35196. Let a(m) = m**2 + 18*m + 17. Give a(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65177679 divided by 632793.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -1, 361?\nAnswer: 361","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15962 is divided by 313?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 12:15 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or 0.839?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -80, -164, -252, -344?\n\"Answer: -2*f**2 - 78*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 621 + -620.8. What is the closest to 2 in 4\/3, v, -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 157.651 and 411?\nAnswer: 64794.561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -192*d + 11*d - 320*d in the form c*d + w and give c.\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmzzzmmzmmmm. Give prob of picking 1 m and 3 z.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - o**2 + 1. Let y be x(-1). Let u = y - -1. Suppose -26 - u = -4*n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**(-2)\/f)*f**(-2\/11)*((f*f**(-1\/4)\/f*f)\/f)**(-2\/13) assuming f is positive.\nAnswer: f**(1103\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -256.66573 rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, t: 5, a: 7, v: 1}. Give prob of sequence ae.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - 3*q + 3*q)*(-3*q + 2*q + 2*q) - 436*q**2 + 6*q**4 + 2278*q**2 + 2*q**4 - 10*q**4.\nAnswer: -q**4 + 1842*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 3*g = 7, -7*u = -6*u + 7*g - 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6 = 3*i, -4*i = -4*f - 9 - 7. Let q be (2 - 3)*(f - (-6)\/(-3)). Suppose 2*u - 1 = 9, -5*u = q*v + 347975. Round v to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 0*f**4 + 0*f**2 - 28 - 1\/3*f**3 + 0*f**5 + 0*f + 29\/6*f**6. Find the third derivative of s(c) wrt c.\nAnswer: 1740*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 570*h**2 + 8193*h - 9913. What is l(584)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1892121 and 1925?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93906 divided by -2538.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -16*c - 60. Let j(o) = -5*o + 6. Does 8 divide j(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.01*4\nAnswer: 52.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12600 and 3000?\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18388?\nAnswer: 2, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*(4 + -2 + sqrt(325) + sqrt(325) + sqrt(325) + 1 + sqrt(325) + -4 + -5) + 1)**2.\nAnswer: -360*sqrt(13) + 5281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104241 - -110400?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1cb68 (base 14) to base 4\nAnswer: 101331320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13221, 52191, 117153, 208107, 325053, 467991?\nAnswer: 636921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -51*x + 3722. Let y be s(73). Which is smaller: y or 32\/345?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 724 - 665. Calculate the remainder when 117 is divided by x.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257069083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 10*a + 16. What is m(-12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - 8)\/3 - -2. What is the nearest to -1 in w, -1\/5, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14204*-13470\nAnswer: 191327880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -3\/2*o**2 + o + 0 - 1\/6*o**4 + 1\/2*o**3. Let y(d) be the first derivative of x(d). Determine y(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -897404, -897416, -897442, -897488, -897560, -897664?\nAnswer: -897806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -8*a. Let n(y) = -12870*y**2 - 11*y. What is n(g(c))?\nAnswer: -823680*c**2 + 88*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3266, 0, -2513?\nAnswer: -2513","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-81)\/54*(-12)\/9. Let c(d) = -3*d - 1. Let u(q) = q + 1. Give h*u(o) + c(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-2\/5))*k)\/(k\/k**(2\/11))*k**(-2\/5)\/k*k**0)\/((k**(-1))**(-1\/4)*k**(-3)\/(k*(k**4*k)\/k*k)) assuming k is positive.\nAnswer: k**(349\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 11*w**2 + 5*w + 23. Let f be r(-4). Let a = -71 + f. Suppose 6*o = 2*o + a. Calculate the greatest common factor of 27 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/13)\/z**(1\/4))**(-12\/7) assuming z is positive.\nAnswer: z**(9\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 313\/770 - 1\/154. Let b = 38 + -37.78. Let g = 0.02 - b. Which is smaller: g or l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 112 - 58. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from {b: 1, q: 2, e: 1, z: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 17. Let s = u - 3. Sort s, -0.3, 0.3 in increasing order.\nAnswer: -0.3, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -18684*l + 529. Is r(-32) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.064 + -5.064. Sort -57, -0.3, a in descending order.\nAnswer: -0.3, a, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -959, 5 in descending order.\nAnswer: 5, 3, -959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d9 + -4?\nAnswer: -dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 63 = -3568*g + 3565*g + 14, 0 = -4*r - 8 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*a - 11*a. Suppose 0 = -a*n + 2*n - 154. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1480*v**3 - 739*v wrt v.\nAnswer: -8880*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*b + 90. Calculate the greatest common divisor of b and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70143 is divided by 68522?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0.4 (c) -2 (d) -0.0309 (e) 0.04 (f) 4.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 12*h - 17. Let t be k(-13). Let u = 222 + t. What is the greatest common factor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + q**3 - 6*q**2 + 3*q**2 - 2*q**4 + 3 as p*q**4 + a*q + b*q**3 + m*q**2 + c and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/1 + (4719\/44 - 96) + (-1 - 16).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 8*c**4 + 13*c**2 + 7*c. Let j(h) = 4*h**4 + 7*h**2 + 4*h. Suppose 3*m + 8 = -13. Let b(i) = m*j(i) + 4*x(i). Find the third derivative of b(d) wrt d.\nAnswer: 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39703198 to the power of 1\/2, to the nearest integer?\nAnswer: 6301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 - m**4 - 2*m**4)*(2 + 4 - 3).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1245 = 2*v, 3*s = 3*v - 1261 - 602. Calculate the remainder when v is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 + 5*q - 24. What is the tens digit of x(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79937484 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -2 + 2 + 6 + -161 + 149?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4\/3 - 1124*t**3\/3 - 313588*t**2\/3 + 422624*t - 424128 = 0 for t.\nAnswer: -564, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) -6 (c) 1 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 1488*x + 694941. Give j(-467).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*p**2 + 213*p - 3 - 2 + 5 - 215*p - 3 + 14*p**3 in the form y*p**2 + q + h*p**3 + a*p and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 234 and 25461?\nAnswer: 661986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 3032613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 83 and 3.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1284 + 1286. Let o(r) = r**3 - 5*r**2 - r + 4. Calculate o(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4852, -0.5, 58.7, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 44. Suppose -5*f + q = -5. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180803 minus -0.029?\nAnswer: -180802.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2 + 2653*c + 2652 = 0. Calculate c.\nAnswer: -2652, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5616 = -78*q + 60*q - 190*q for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2978\/255 - -1\/85. Find the common denominator of t and 119\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-one halves of a centimeter?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 i when three letters picked without replacement from yyioyko?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 5*j**2 - 7*j - 4. Let s be h(-6). Let b(u) = u**3 + 2*u**2 + u - 2. Let q = 31 - 0. Calculate the remainder when q is divided by b(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*3*4*(1 + sqrt(1377)*1))**2*-4.\nAnswer: -42861312 - 559872*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44350 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osm when three letters picked without replacement from mgssbobjbmjjbmbbs.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542303397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 plus 169872358?\nAnswer: 169872341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -0.3 (b) 0.1 (c) -3 (d) -0.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00176465 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -1\/4, 0.438?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4005039 or -4005016?\nAnswer: -4005016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**5\/20 + 2*a**4\/3 + 2*a**3\/3 - 3*a**2 + 3*a. Is q(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-30)\/9)\/((-6)\/9). Let q be ((-1)\/2)\/((-1)\/12). Suppose 0*y + 3 = -3*d + 3*y, y - 13 = -5*d. Solve -3*l = w*c - q - 14, -23 = -5*l + d*c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -146*h + 14162. Let k be d(97). Let n = -17 - 66. Is k > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - n + 4*n)*(-182*n**3 + 182*n**3 - 150*n**4).\nAnswer: -150*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/2? (a) 1 (b) 179 (c) -8 (d) -110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_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: Calculate the least common multiple of 1378 and 232.\nAnswer: 159848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67058 + -33628. List the prime factors of t.\nAnswer: 2, 5, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(3 - 30\/(-8 + 3)). Solve 0 = 40*k - 49*k + p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o - 2*y - 40 = -34*o, 3*o - 30 = 4*y. Solve -2*f + 15 = -2*a - f, -o = -2*f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1130*l + 1090 = -2*w, 3*w + 0*w - 19*l = -14*l + 65 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + w. Let m(b) = -4*b**2 + 5*b + 2. Let r(h) = m(h) - 6*v(h). Let f be r(-2). Is (f\/5)\/((-6)\/(-30)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2, 1, -4.\nAnswer: -12, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2358082*k**3*x**2 + 426*k**3 - 2*k**2 + 2*k*x**4 + 147*k with respect to x.\nAnswer: 4716164*k**3*x + 8*k*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w - 129. Determine u(39).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 3 = -v. Suppose v*n = n. Suppose 5*t = -n*t. Solve -2*f - 2*f = t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6bcc8 + -5?\nAnswer: -6bccd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -10 in decreasing order.\nAnswer: 5, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 1) + 2*-1. Let c(r) = -127*r**3 - 18 + 3*r**2 - 2*r**2 + 126*r**3 + 0*r**2 + 0*r**2. Calculate c(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -3. Suppose -2*o = -3*w + k, 6*o = o - 5*w - 5. Let i = o + 7. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*x = 17*x + 20790. Calculate the remainder when x is divided by 122.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 353*v + 31798. What is l(-146)?\nAnswer: 1576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 10*u**2 - 8*u + 3. Let p be b(9). What is the highest common divisor of 228 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605 a factor of 81470667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 38 and 420\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (9*(-29)\/((-957)\/44))\/(3\/(-4))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gfg when three letters picked without replacement from {g: 2, f: 2, m: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -99*j**2 - 19247*j - 7956. Give h(-194).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6859*z**4\/2 - 6498*z**3 + 4104*z**2 - 864*z.\nAnswer: z*(19*z - 12)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*h + 65, -7*n + 4*h = -11*n + 196. Calculate the smallest common multiple of 15 and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b55fc (base 16) to base 3.\nAnswer: 100021211120201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 7*t - 7. Let x be s(8). Suppose -f + 5*m - 10 = 0, -4*m = -4*f - 7 - x. Solve f = n + n - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*w = 12. Let v = -8 + 4. What is the remainder when 10\/(-1*v\/4) is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 13 = -3. Suppose 12 = l + 2*l. Let q(u) = -2*u - 1 - 2*u + u**2 - l. Determine q(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 46. Suppose c = 4*g + 16, -21 = -3*c + 5*g - 1. Is t(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5317507703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dacahdgaaahd. What is prob of picking 1 g and 1 d?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1624)\/(-3640) + 1 + 11\/(-13)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 + -0.0313. What is n rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + h + 15 = 0, 0 = x - 2*h - 3*h + 20. What are the prime factors of x*(-2)\/5*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - 6*s + 2*s + (3 - s - 3)*(-2 - 2 + 3) + 5*s + 0*s - s)*(-5 - 1 + 3 + (3 - 2 - 3)*(1 + 5 - 4) + 4 - 1 - 5 + 3 + 4 - 5).\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 9*y**3 - 17*y**2 - 5*y + 420. Determine m(7).\nAnswer: 2639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 7*g**2 - g + 7. Let y be j(7). Let t(b) be the first derivative of -b**2\/2 - 3. Determine t(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469 is divided by 33.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 - 2*y - 4*y**3 - 4*y**3 + (11 - 473*y**2 - 2*y + 474*y**2 + 11)*(2 - 2*y - 2) as m*y**3 + v + k*y + a*y**2 and give k.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a - 1. Let o be h(-2). Suppose 6*l + 4*d + 68 = 4*l, -o*l - d - 77 = 0. Let y = 17 - 39. Which is greater: l or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 11:38 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -781 (base 14) in base 11?\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - (0 - 76))*47\/(-141). Put 2, -2, -5, m in ascending order.\nAnswer: m, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -306d (base 14) to base 11\nAnswer: -6292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24708311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17418 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35\/5 - (-4 - 2). Let q(y) be the first derivative of y**3\/3 - 7*y**2 + 17*y + 1. What is the smallest common multiple of q(u) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/37962?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 886034886 minus -0.4?\nAnswer: 886034886.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(5 - (-46)\/(-9))*9\/69.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/17 in -3, -0.4, 5, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3*(12 + (-3043)\/(-51)) is divided by 156.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 4*b + 21.\nAnswer: -(b - 7)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 2371337?\nAnswer: -2371340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18062*r**2 - 8504*r**2 + 2*r - 47 - 2*r - 8617*r**2.\nAnswer: 941*r**2 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -7. Suppose 0 = -0*n - 2*n + w. Let u = 14 + 0. Calculate the smallest common multiple of n and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1855 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (648\/18)\/12*3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -113*s**2 + 82*s + 80. What is x(-1)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25699 or 179884\/7?\nAnswer: 179884\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 8. Calculate the remainder when (1\/l)\/((-2)\/204) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -10. Let p = y + -11. Calculate the least common multiple of 16 and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*f + f - 412, -2*a + 4*f = -308. Find the common denominator of 4\/(-6) - (-40)\/a and ((-81)\/10)\/((-6)\/10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 65*f - 58. What is the hundreds digit of k(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 11:13 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 62.4 in 3.18, -3, 3\/4, 0.2, -5?\nAnswer: 3.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v - v**3 - v**2 - 4 - 5*v**2 + 6*v**2 + 8*v**2. Let y be (-12)\/(24\/4) - -3*3. What are the prime factors of o(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118674579.\nAnswer: 3, 53, 223, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0*z)\/z**4)**32 assuming z is positive.\nAnswer: z**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16 and 142460.741.\nAnswer: 142476.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579 + 1522 = -29*x + 10*x - 1280 for x.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -10, 15 in descending order.\nAnswer: 15, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 p when four letters picked without replacement from {l: 2, b: 3, p: 9, e: 4}?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*144\/4*(-2)\/3*(-12)\/48.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92*o + 2*o**2 - 92*o + 5)*(5*o - 7*o - 4*o)*(103*o - 103*o - 9*o**2).\nAnswer: 108*o**5 + 270*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724695663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -122 - 1175 + 423 - k - 397 as o + l*k and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7230.48413 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -514.481 + 518.1. What is l rounded to 1 dp?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -257*h**4 + 886*h - 886*h + (2*h**3 + 4*h**3 + 6*h**3)*(-4*h - 1 + 3*h + 3*h).\nAnswer: -233*h**4 - 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 21000988?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -0.1, -0.3, -1\/2, 15.18, -2\/7, 5?\nAnswer: 15.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -1 + -22)*(-3)\/(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**(-1\/2)*k*(k*k**(-31)\/k)\/k*k assuming k is positive.\nAnswer: k**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 6882?\nAnswer: -687e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.5676g to micrograms.\nAnswer: 4567600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 27. Put -4, j, 0 in descending order.\nAnswer: j, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.924, -0.4, -7\/5?\nAnswer: 0.924","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3122.153 decades?\nAnswer: 31221.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**4\/12 + 136*w**3 - 83232*w**2 + 3*w - 473. Factor g(u).\nAnswer: -(u - 408)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w*((w*w**(-3\/2)\/w)\/w)\/w))**(-7) assuming w is positive.\nAnswer: w**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -3\/16*m**4 + 1\/40*m**5 + 0 + 0*m + 1\/2*m**3 + 2*m**2. Factor h(p).\nAnswer: 3*(p - 2)*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10993 - 7051. Calculate the greatest common factor of 54 and x.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 735080 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 14*s - 46. What is t(10)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 37047.39 - -147948328\nAnswer: 147985375.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2. Suppose n = k - 3*k. Solve k = 3*m - 7*m - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**4\/12 - 7*x**3\/6 - 7*x**2\/2 + 2*x. Let z be g(-5). Differentiate -2 - 12*d**3 + 24*d**3 - 7*d**z wrt d.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48.3 + 48.4. What is the third smallest value in d, -117, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1380\/8)\/((-18)\/8)*-3. Suppose 3*x + 3*w + 96 = 267, -z = -4*x - 2*w. Let a = 45 + x. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1223 * -50\nAnswer: 6.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -25. Let f be (-24)\/(-60) - (-24)\/n. Let q be (-153)\/126 + (-3)\/f. Which is the closest to -0.1? (a) q (b) 0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**7\/70 + r**4\/4 - 4*r**2. Find the second derivative of f(l) wrt l.\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*y = 0, 0 = -2*g + 5*g - y. Which is the second smallest value? (a) g (b) -4 (c) 2 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 + 14*q + 4. What is o(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/27 + 240\/108. Solve -4*y - 5*z + 7*z + w = 0, 4*y + 4*z = -16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28293174 divided by 9763\nAnswer: 2898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13270846 to the power of 1\/3, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by 20\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 20837.\nAnswer: 125022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.5 - -0.7. Let u = -84 + 86.2. Let r = u - t. Which is the nearest to r? (a) -2\/13 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccncccccccccccccccn. Give prob of picking 2 n.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*i = -364, -2*u + 5*i = -u - 56. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millisecond in microseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -181, -361, -531, -691?\n\"Answer: 5*p**2 - 195*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 23*o + 69. Let i be d(-29). Let s = 115 + i. Let r = 53 - 33. What is the highest common divisor of s and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 96*u - 108*u - 1)*(3*u**2 + u**4 - 3*u**2).\nAnswer: -12*u**5 - u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.942 + -0.058. What is the nearest to -1\/3 in o, 2\/11, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32157272 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1409 + 1114. Which is the nearest to -1\/4? (a) -4 (b) -0.5 (c) x (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 216480*r + 11715897600.\nAnswer: (r + 108240)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4, 2*n + r - 16 = -0*n. What is the greatest common factor of n and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -879*h - 482*h - 1394 - 12330 - 2608 = 0 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*j + 96. Let v be 165\/4 + (-2)\/8. Suppose -s - 5*c = -v, 25 = 2*s - 2*c + 3. Calculate the greatest common factor of s and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 9*x**3 - 3*x**2 + 2*x - 3. Suppose 10 + 5 = 5*r. Let y be q(r). Suppose t - 2*a = y, -3*t = 6*a - a - 613. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69 - -66.91. Let f = 189 - 189.09. Let z = c - f. What is the closest to 0 in 0, z, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5ddb35 + -2?\nAnswer: -5ddb37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 9:11 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3300 and 2700?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 10. Let h = i - -7.6. Which is the nearest to 2? (a) 5 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrr. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 18*c - 168 = 0. Suppose 0 = d + 3*m - 60, -2*m + 5*m = 3*d - 180. What is the remainder when d is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1202735 or 1202733?\nAnswer: 1202733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from {k: 4, d: 15}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 632cb96 - 8?\nAnswer: 632cb8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 316 = -306. Let h(q) = -6*q + 19*q + q**d - 6 - 4*q. Calculate h(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1272372305?\nAnswer: 5, 23, 257, 43051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + ((-2)\/(-3))\/((-22)\/(-33)). Let o(h) = -h**3 - 4*h**2 + h + 1. Let a be o(-4). Sort x, 2, a in decreasing order.\nAnswer: x, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - d**2 + 3*d + 4. Is 8 a factor of u(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 18 + 22 = 0. Let w = j + 61. Let r = w + -25. Let d(a) = 2*a**2 - 2*a - 1. Let x(q) = q**2 - 2*q - 1. Calculate r*x(i) + 3*d(i).\nAnswer: 2*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*j = -64, -5*r - 20*j + 84 = -17*j. Suppose -r = 20*d + 102. Let k(g) = g**3 + 7*g**2 + 8*g - 3. What is k(d)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65372651*u**2 + 5*u - 2135692.\nAnswer: 130745302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + -1*sqrt(243))*-2 + -2.\nAnswer: -72*sqrt(3) - 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 1 - 11 - -2) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/18*(-4)\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1006, 3998, 8986, 15970, 24950?\nAnswer: 35926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -9*o + 178. Let q be (4\/6)\/(1\/(-15)). Let p be ((-12)\/15)\/(2\/q). Calculate the highest common factor of o and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/495 and 104\/495.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 8:01 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15157 or 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4972*t + 19720 = 5465*t for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 659764219 to the power of 1\/2, to the nearest integer?\nAnswer: 25686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6*p + 140 = 0. Let k = p - -20. What is the remainder when k is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 987768*y**2 + 2*y + 10. Let d be i(-4). Let g be d\/50*(-2)\/(-12) - 2. Let u = 52684 - g. What is the common denominator of 31\/24 and u?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -200 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -15. Let a = 297 + -243. Let q be a*(25\/15)\/5. What is the greatest common factor of q and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545.4286 rounded to the nearest ten?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p = -15*p - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t**2 + 2*t - 216. Let d(z) = 12*z**2 - 5*z + 432. Determine -4*d(f) - 10*s(f).\nAnswer: 2*f**2 + 432","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (22 + (-2 - -2))) + 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + p = 111, 4*p - 137 - 91 = 4*h. Let b be (-26)\/39*h\/(-4)*-1. Suppose -4*r - 3345 = -b*r + 5*f, -5*r - 2*f + 3331 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**4\/12 - t**3\/6 - 3*t**2\/2 - 3*t + 265. What is y(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*q + q. Let h be 42\/189 - (-25)\/q. Solve -h*k = -14 - 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4544828 is divided by 413166.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 4*o = 0. Suppose 2*j + 25 = -5*x, -j - j + 3*x - 49 = 0. Let q = 28 + j. Solve -r - r + q = o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*u - 13. Suppose 12 + 6 = u*p. Solve 0 = 3*q - 5*n - 27, p*q + 3*n = 6*n + 17 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109425 is divided by 109330?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, -6, -2\/7, 28, -5, 102 in increasing order.\nAnswer: -92, -6, -5, -2\/7, 28, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 11 = 5*n, -7*t + 3*n = -5*t + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 + c. What is k(-5)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 2545\/369?\nAnswer: 2545\/369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-12) + (-35)\/42*-5. Differentiate 26*f - 58*f + 26*f + 60 - 5*f**n with respect to f.\nAnswer: -20*f**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 30*w**2 + 938*w + 5664. Calculate h(-6).\nAnswer: 1116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 4*c - c)*(-14*c - 47*c - 96*c).\nAnswer: 314*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16048, 16100, 16152?\nAnswer: 16204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**4\/4 - 3*n**3\/2 + 31*n**2\/4 + 9*n = 0.\nAnswer: -9, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -13*t + 7. Let x(c) = -19*c + 10. Determine -7*f(v) + 5*x(v).\nAnswer: -4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/((sqrt(10) - sqrt(40))*6))**2.\nAnswer: 19\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 15*z**2 + 33*z - 36. Let h be g(-12). Suppose h = 3*s + 75 + 156. Let t(n) = -4*n**2 + 4*n + 4. Let k be t(-4). Is s bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 + 91*d**3 + 2697*d**2 + 24025*d - 59582.\nAnswer: (d - 2)*(d + 31)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 9*y**2 - 10*y - 1. Let r be f(-8). What is the greatest common divisor of r and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*43 + (2 - -1). Let m be v\/(-18) + 8\/(-36). Are 2\/3 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-8) + 0 - (-67)\/(-52).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -540, -1104, -1678, -2256, -2832, -3400, -3954?\nAnswer: -4488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135176 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from {w: 1, r: 7, a: 5, b: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*u + 28 = 2*u, 3*x - 24 = -3*u. Suppose 4*k - 2 = 6. Suppose 5*h - 5 = 65. Solve -10 = -5*r + k*s, -4*s - h = 2*r + x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s + 66 = 8*h + 29 + 21, 44 = -4*h + 5*s for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 168 = 4*x, -2*x + w = 6*w - 49. Let t = x - 32. Solve 9 + 11 = 5*a - 5*i, -5*i + 20 = t*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1.7 (b) 10 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -17. Let k be (-3 - -4)*(1 - 6). Which is smaller: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-1 - -2) - 790\/(-79). What is the third smallest value in -3\/2, -2\/15, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 454 divide 1232116056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 215191317?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53268 and 32?\nAnswer: 426144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*o - 220 = 0, 2*u - 4*o = 3*u - 136. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*y + 4195 - 559 = 22*y. Calculate the highest common factor of y and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**4\/4 + 15*k**3\/2 + 153*k**2\/4 - 289*k = 0.\nAnswer: -17, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 1132\/8 + (-1)\/(-2) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -128*u**2. Let d(g) = 14*g**2 + 2*g. Determine d(c(j)).\nAnswer: 229376*j**4 - 256*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 165*f - 1157. Let w be j(7). Let i(a) = -7*a**2 - 7*a + 7. Let b(l) = -l + 1. What is w*i(d) + 14*b(d)?\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*p - 12 = 0. Suppose 4*j - u - 14 = 0, 5*j + 3*u - u = 24. Let m be (0 - -4)\/(0 - -2). Solve 3*f = -j*a - 29, 3*f - m*a + 19 = -p*a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21182870 by 114502.\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-99)\/(-22) - (-3)\/(-2). Suppose c*i + i - 144 = 0. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = 2*t. What is the closest to -0.2 in 1, 4, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.125 - -0.825. Put 4\/7, 5, b, -1 in descending order.\nAnswer: 5, b, 4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4*-3*10\/96)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 36*w**3 + w + 1. Let l be i(-1). Let f be (-2)\/(-2) + -3 + l. Let p be (-6)\/(-21) - f\/14. Solve 0 = -2*g - 3*v - 5, -p*g + 3*v = 5 + 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (95 + 11 + 11 + 16 + 64)*(-3*w + 3*w + w) + 306*w + 1765 - 1765 to the form l*w + n and give l.\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-25965)\/12)\/(-15) + (-1)\/4. What is the greatest common factor of d and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s + 2*s**3 - 2 - 2 + 0*s + 2 to j*s**2 + u*s + z + p*s**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t. What are the prime factors of (t + -1)\/((-5)\/290)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00090103733 rounded to seven decimal places?\nAnswer: -0.000901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (28 - 31 - (6 - 2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.9 and 0.1042428656465?\nAnswer: 2.7957571343535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95*o**3 + 1119*o**2 - 27*o - 36*o - 1119*o**2 wrt o?\nAnswer: 570*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8270 is divided by 399.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = s - 4*s + 4*p, 4*s - 4*p = 20. Suppose 8 = -2*z + s*z. Suppose 2*i - 288 = -z*i. Is i a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -109*j + 9. Suppose -t + 13 = -2*t + 5*r, -3*t + r = 11. List the prime factors of v(t).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -5*x**2\/3 - 820*x\/3 + 1700 = 0?\nAnswer: -170, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 + 1 - 1 - 56876*w + 56876*w + 9*w**3.\nAnswer: 9*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 181545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -922503044.2 rounded to the nearest one hundred thousand?\nAnswer: -922500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/142 in 4822, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2509*q**3 - 2507*q**3 + 8*q + 12*q - 88*q**4 + 21 - 24*q to g*q + l*q**3 + v + a*q**4 + h*q**2 and give v.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*r + k, 5*r = -4*k + 19*k - 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v = -16028 - 16937. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3fe + -f70?\nAnswer: -b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 147\/15002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -783661 + 3002661. Round b to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 371, 1515, 3415, 6071, 9483, 13651?\nAnswer: 18575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -615*f**3 - 15*f**2 + 11*f + 2. Let c be o(1). Is -4318\/7 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487 = 83*y - 13*y + 1467 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45344*x - 45344*x + 4*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (85 - 0) + 4\/(-2). Let x = z - 5. Is x a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, u: 2}. What is prob of sequence ub?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24960625, 99842507, 224645643, 399370033, 624015677?\n\"Answer: 24960627*a**2 + a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8876 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q + 45. Determine p(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + z - 3 - 1 - z + 1 + 67 - 14*z - 67 + (-5*z + 3*z + 3*z)*(1 - 4 + 4).\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76 - -28) + (-10 - -23)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -15*r - 7\/12*r**4 - 1\/10*r**5 + 5\/6*r**3 + 0 + 0*r**2. Let b be s(-6). Calculate the greatest common divisor of 25 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 4*o**2 - 11*o + 13. Let t be g(-6). Suppose t = -r + 6. Which is the nearest to r? (a) -0.4 (b) -26 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.47 + 4.47229. Round m to 4 decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1686 and 6?\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2495 + 85*w**2 + 81*w**2 + 85*w**2 - 248*w**2 - 190*w**3 + 1565 wrt w.\nAnswer: -570*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 take away -0.4903506?\nAnswer: -22.5096494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + 2 + sqrt(19) - ((sqrt(19)*1 - sqrt(19)) + 4)))**2.\nAnswer: -90*sqrt(19) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/15)\/y*y\/(y\/y**16)*y*y assuming y is positive.\nAnswer: y**(256\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97434696 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 6456 - 2019. What are the prime factors of i?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 1, -0.18 in ascending order.\nAnswer: -1\/3, -0.18, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 342492, 342452, 342412?\n\"Answer: -40*x + 342532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 12:08 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, h: 5, i: 1, t: 10, s: 1}. Give prob of sequence rh.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 6 - 17 = 5*t, t - 5*i - 11 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ynn when three letters picked without replacement from {v: 14, l: 2, y: 1, q: 1, n: 2}?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3329126027.2 minus -1?\nAnswer: -3329126026.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggigyggii. Give prob of picking 1 i, 1 y, and 1 g.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2986325514?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnwwnnnwrrnnwwnr. What is prob of picking 2 w and 1 r?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981768?\nAnswer: 2, 3, 19, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 2.47, -13\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w - 3. Let l = -747 + 785. Let t(z) = -116 + 40 + 4*z**2 + l + 38. Determine t(u(b)).\nAnswer: 16*b**2 + 48*b + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 5*p + 3. Let s be m(-4). Let x = -3 + 8. Let u be (-7)\/x + (-2)\/(-5). Is s less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 833563 or 833437?\nAnswer: 833437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/303 and 40\/21?\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 316 - 58 = -318. Solve 70*s = 61*s + u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21214\/95 - 1116\/5. What is the closest to 7 in u, -15, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-4\/5))\/r)\/r)\/(r*r**(-2\/3))*(r**(-4)\/r)\/r**3 assuming r is positive.\nAnswer: r**(-128\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1072*z**2 + 1728*z + 35*z**3 - 1728*z.\nAnswer: 35*z**3 + 1072*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d + 2. Determine r(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -245 (base 6) to base 5\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r**2 + 49 + r**3 + 48 - 90. Determine i(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/7)\/o)**(-1))**(13\/7) assuming o is positive.\nAnswer: o**(52\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 22*u**2 - 3*u - 13. What is the remainder when p(-22) is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20920539 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 12 = -2*n, 189 = 9*d + 162 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 512574*t - 100934*t + 324312*t - 154347*t.\nAnswer: 581605*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 49 + 53 - 127 + 58 - 3*a.\nAnswer: -3*a - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*q - 133*q = 3058*q + 57984 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(605) + -1)**2.\nAnswer: 44*sqrt(5) + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-14)*s*s)\/s**(8\/5))\/(s**(-11)\/s*s*(s\/(s\/s**(-5\/6)))\/s) assuming s is positive.\nAnswer: s**(847\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 8*q - 3. Let i(l) be the first derivative of -7*l**2\/2 + 4*l + 13. Let b(t) = -4*i(t) - 3*z(t). Differentiate b(r) wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**5\/90 + i**4\/54 - 2*i**3\/27 + 6*i. Find o, given that b(o) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-4)*((-126)\/210)\/(1917\/1420).\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 645, 2587, 5823, 10353?\nAnswer: 16177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**4 - 3*k**4 + k**4 + (4*k**2 + k**2 - 3*k**2)*(-k**2 + 5*k**2 - 2*k**2) + (2*k**2 - k**4 - 2*k**2)*(-3 + 0 - 6) + k**4 - k**4 - k**4.\nAnswer: 14*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -10*q**2 + 1130*q + 10207. Determine c(-9).\nAnswer: -773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1894827*n**4 + 1510240.\nAnswer: -7579308*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**(-1\/2))*v)**(11\/8))**(-13))**43 assuming v is positive.\nAnswer: v**(-18447\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 2. Suppose 0 = 2*m + 3*m, -u*m = -3*j. Let z = 119 - 835\/7. Which is the second smallest value? (a) z (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 100 - 293. Let c = r - -192.99999246. Round c to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 1233?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - t + 105 = 5*q, 0 = 5*t - 5*q - 615. Let n = t + -67. Suppose 5*i - n - 47 = 0. Solve 3*j = -j + i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*((-165)\/5)\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 916 - 1773 + 2*b**2 - 3*b**2 as z*b**2 + s + r*b and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/12 + 185\/60. Solve q*t = -2*a + 14, -35*t + 32*t - 2 = -2*a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 26. Suppose -19*m - 294 = 124. Let x be m\/(-121) - -3*(-39)\/99. Sort 1, -2, x, n in increasing order.\nAnswer: -2, x, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -4*u - 69. Let q(d) = 2*d + 1. Let m(a) = -13*a - 13. Let n(k) = u*m(k) - 5*q(k). Calculate n(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from {f: 1, a: 2, s: 7, l: 8}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1188600 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61660999?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2794, 2262, 1730?\n\"Answer: -532*y + 3326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2105, 4210, 6315, 8420, 10525, 12630?\n\"Answer: 2105*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49023322*k**4 - k**3 - 43272054*k**2.\nAnswer: -1176559728*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 15 + 46 + 5 + -5 + 20?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -2*k**3\/3 - 14*k + 1270. Let l(w) = -22*w. What is z(l(s))?\nAnswer: -968*s**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*b + 84, -2*m + 4 = -3*b + 62. Let y be ((-51)\/34)\/(-1 + m\/(-32)). Solve a + y = 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 8*u**2 + 6*u - 7. Give a(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 237619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k = 0. Solve 3*p + 2*r + k = 20, 0 = p - r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3. Let q = 374\/3 - 126. What is the closest to g in 2\/7, -1, q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((9 - -1) + 0 + (242 - 232))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 122888 times 0.1\nAnswer: 12288.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 164.048\nAnswer: 161.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*t - 78 - 3 - 20*t + 80*t.\nAnswer: -2*t - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/88?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 474*h - 2 = 473*h. Suppose -3*c = 9, 3*c + c = -2*x - 22. Suppose 2*r - 18 = 5*r. What is the second biggest value in h, r, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -6*x - 4. Let a(g) = -g**3 + 4*g**2 - 2*g + 1. Let w be a(2). Suppose -2 = c + w. Is b(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*((-2)\/6 + 65\/(-30)). Let q(f) = 21*f - 31. Let x(c) = -4*c + 6. Let t(r) = 2*q(r) + 11*x(r). Determine t(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7837, 2, 3.5, -1\/4, 1\/2 in descending order.\nAnswer: 7837, 3.5, 2, 1\/2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 23 = 5*k + 2, -3*k + 12 = 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2))\/((-9)\/(-234)). Which is bigger: b or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 332.21012 + -324.208. Let y = b + -8. Round y to four dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -723 + -455660?\nAnswer: -456383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 - 54. Let d be (6 - 6)\/(2 + w). Solve d = m + y + 5, -4*y = -2*m - m - 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/9)\/(1*(-3485)\/(-246))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246\/(-410)*10\/9.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 14*j**2 + 11*j - 19. Let n be h(-13). Solve n*s = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**2 - 4*k**2 - 27*k**3 - 66*k**3.\nAnswer: -93*k**3 - 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**3 + 8*v**2 - v + 2. Let o(g) = g**3 - g**2 + g + 1. Let r(l) = -a(l) - 4*o(l). Let b be r(5). Put b, -1, 0.2 in ascending order.\nAnswer: -1, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-2)*(6 - 2). What is the units digit of 2\/h - (-9)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 880.6.\nAnswer: -352.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqnf when four letters picked without replacement from gqfnnnnqnngnnqfn.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d - 27*d + 0 - 1)*(-3 + 3 - 1)*(-1 + 2 - 3)*(-3 + 0 + 4).\nAnswer: -68*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12312 and 446820?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**5 - 4*r**4 + 4*r**4 + (0*r**4 + 3*r**4 - 4*r**4)*(-2*r - 1 + 1) - 3*r**5 + 0*r**5 + r**5 - 5*r**3 + 2*r**5 + 0*r**5 + 2*r**3.\nAnswer: 4*r**5 - 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2716 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.329 - -0.259. What is y rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -525*u**3 - 2*u**2 - 2*u + 878.\nAnswer: -3150*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 2 - (-12 + (-3 - -18)). Let s(r) = -r**3 - 6*r**2 - 6*r - 3. Let t be s(-5). Let p(x) = o + 3 - 2 + 3*x**2 - t*x - x**3 + 0. Calculate p(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1 - (-150)\/151). Suppose -4*s - 4*z + 16 = 0, -5*s + 2*z + z = 12. Suppose n + 3*m = 23 + 5, -4*n + m + f = s. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 10 = -8*c + 6*c, -3*k = 4*c - 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13265 + -5505. List the prime factors of y.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 395*r**3*v + r**3 - 2*r**2*s*v + 862*s*v with respect to r.\nAnswer: 1185*r**2*v + 3*r**2 - 4*r*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 13*j - 12. Let g be u(-14). Let h = g + 44. Is 18 not equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 1:23 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 545\/(-5668) - 2\/13.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*m = -56*m + 210. Suppose 3*k - m = -3*x, -2*k + 4*x + 156 = 2*k. Solve -5*b = -4*w - 9 + k, b = -2*w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1427 + -2067?\nAnswer: -3494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 44617686.2096 minus 0.047?\nAnswer: 44617686.1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 3745?\nAnswer: -1\/3745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/1989088 and -93\/9945440?\nAnswer: 9945440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -13, -2, -24, -4.\nAnswer: -24, -13, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -483655, -483660, -483669, -483682, -483699?\nAnswer: -483720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 276382, 276384, 276388, 276394, 276402, 276412?\nAnswer: 276424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845349187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18587*b + 4*b**3 + 13*b**3 - 18587*b.\nAnswer: 17*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 113 - 104. What is the smallest common multiple of d and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.071 + 0.399. Let i = p + 0.03. Let l = 2 - 2.2. Which is the nearest to l? (a) i (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2113*j**5*m - 2*j**2*m + 2*j - 117*m wrt j?\nAnswer: -126780*j**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000 + -10200101110220?\nAnswer: -10200101112220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c - 11. Let p be m(5). Let n = p + 58. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - 7 + 8 + 2. Suppose -86 = -48*f + 154. Let x(a) = a**3 - 4*a - 6. Calculate f*g(v) + 2*x(v).\nAnswer: 2*v**3 + 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-41)\/(-3) + 8\/24. Calculate the highest common factor of f and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 344 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-35)\/(-28) + 47\/4. Suppose 0*g + 312 = y*g. What is the highest common factor of 30 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(513)\/sqrt(3) + 1)**2 - (-2*sqrt(38)*-1)\/(sqrt(98)*-2).\nAnswer: 43*sqrt(19)\/7 + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 10 = 2*i - 54, -5*p + 176 = -i. Calculate the highest common divisor of 225 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214, 913, 2078, 3709, 5806?\nAnswer: 8369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.1549 - 3.991. What is n rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 499 * -170.7\nAnswer: -85179.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 119, 181, 245?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*q - 8*q - 2*q - 10*q in the form d*q + j and give d.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x. Let t(s) = -26*s**3 - 2*s**2 + 3*s + 1. Determine -t(y) + 3*v(y).\nAnswer: 26*y**3 + 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -22564950 and -22564950 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 23998391 from 0.487.\nAnswer: -23998390.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6235 + 6235. Factor 0*u**4 + 2\/9*u**5 - 4\/9*u**3 + o + 0*u**2 + 2\/9*u.\nAnswer: 2*u*(u - 1)**2*(u + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h - 9. Let g be v(-11). What is the first derivative of -2 + 6*l + 2 - g wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 + 2 + 1 + -4 + (-156 - -321 - 172).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 212 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4))**(-2\/51)\/(s**(1\/91)*s**13) assuming s is positive.\nAnswer: s**(-59656\/4641)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*n = -292*n + 35 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z**3 - 5*z**3 + 6 + 1 - 9*z. Let k = -26 + 19. Let w(o) = 4*o**3 + 4*o - 3. Let i(f) = k*w(f) - 3*t(f). Find the second derivative of i(v) wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 620 = t - 3*v, -t = -5*v - 310. Let x = t - 146. Let g(k) = 11*k**2 + 314*k - 117. Calculate the remainder when x is divided by g(-29).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 11:57 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38157030*n**3 + 101641613?\nAnswer: -114471090*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*p + 24383 + 26863 = 1424*p - 4689 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 e when three letters picked without replacement from {m: 3, e: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 160\/150 - -2*3\/(-9). Sort -16, n, -5 in increasing order.\nAnswer: -16, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(105\/20)\/(-21).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -106*h**2 - 2. Let x(g) = -105*g**2 - 2. What is -3*l(s) + 2*x(s)?\nAnswer: 108*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111110101100111111 (base 2) to base 3.\nAnswer: -222100220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + 3*sqrt(2057) + sqrt(2057))*-4 + 3*1*sqrt(2057))**2.\nAnswer: 594473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.073? (a) -1 (b) -17944\/7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-598)\/(6\/18*6). Let g = 296 - w. Sort g, -3, 10.\nAnswer: g, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2. Let y(d) = 482273*d. Calculate y(g(b)).\nAnswer: -482273*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 54*k**2 + 47*k**2 + 39*k**4 + 1 - 154*k**2 + 0*k + 55*k**2 to the form x*k**4 + r*k + w*k**2 + j*k**3 + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -330 + 331. Solve -s = -t + 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 14774111?\nAnswer: 14774107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/6 - 196\/(-12). Suppose -q = -i - 4*z, 5*i - 2*z - 122 = i. Let b = i + -15. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*k - 45*k. Let r(d) be the first derivative of 1\/3*d**6 + k*d - 6\/5*d**5 + 1\/2*d**4 - 20 - 2*d**2 + 2*d**3. Factor r(m).\nAnswer: 2*m*(m - 2)*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -303*c + 108201. Determine o(356).\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 8 = 0, -126*n + 116*n = 5*v - 90. Calculate the highest common divisor of n and 1255.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(931) + -2*sqrt(931)*-2) - (sqrt(931) + (4*(sqrt(931) + sqrt(931) + sqrt(931) + sqrt(931) + -1) - sqrt(931)) + 1 + sqrt(931) + -1))**2 + -3.\nAnswer: -1792*sqrt(19) + 953357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2. Let p(c) = -633 + 30*c**2 + 633 - c. What is p(s(r))?\nAnswer: 120*r**4 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 0 - 5 + 1 + 5. Let k(y) = -4. Let d(x) = -k(x) - 2*n(x). Let p = 184 - 186. Let u(o) = o**2 - o + 7. Calculate p*u(z) + 7*d(z).\nAnswer: -2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p + 1 - 20*p + 24*p)*(-1 - 2 + 2).\nAnswer: 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9052 is divided by 88.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 + 2.9. Let m = 65 + d. Let o = -4 + m. Which is the closest to 1? (a) -5 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -695 divided by 1?\nAnswer: -695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5340 and 267698472?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55 + 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a millennium in years?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95849019484268 + -95849092654717.000093. Let j = g + 73170399. Let k = j + 50. What is k rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - w + 3. Let a be x(0). Suppose 3 + 6 = a*d. Suppose 2*i - 1 = -z, -3*i + 6 + 2 = -5*z. Solve -g = -i - d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03296 times -123.12?\nAnswer: 4.0580352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-5 + (-2 - -8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4846 = -0*r. Suppose 2*w = r - 511. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*v = 50, -3*n + 0*n = 2*v - 20. Let g = -2 + n. Let y = -6 + g. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1304, 2468, 3632, 4796, 5960, 7124?\nAnswer: 8288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*u + 2*u + 36*u - 3*u.\nAnswer: 239*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3968.99 + -3969. Put 2\/229, 3, f, 2 in decreasing order.\nAnswer: 3, 2, 2\/229, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*d - 15, -2*l - 5 = 3*l - 5*d. Let t = 5 - 0. Suppose 6*i - t*u = 4*i + 16, -4*i + 4 = 4*u. Solve -y - 5*g - 2 = -l*y, -i*y + 3 = -g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6077 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = 7*b - 319. What is the third derivative of -30*r**2 + 36*r + 35*r - 8*r**4 - b*r wrt r?\nAnswer: -192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1562 + -1731. Which is bigger: -167 or x?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58\/1656739 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**3\/3 - 726*t**2 - 1450*t - 2174\/3 = 0.\nAnswer: -1087, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 65. What are the prime factors of p(0)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**3 + 69*l**2 - 17*l + 3. Let b be v(17). Solve b*a + 32 = -5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2565281726 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19360 and 17704720?\nAnswer: 35409440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47921182?\nAnswer: 2, 23960591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (117\/18 - 8)\/((-27)\/(-4)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2073*g**2 - 4833*g**2 + 2223*g**2.\nAnswer: -537*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11\/4 + -3. Let v = -0.46 + -18.54. Let q = -20 - v. Which is greater: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 78, 1, 0, -1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 18*w + 18*w + 18*w - 55*w. Let f(s) = 81*s**2. Calculate f(t(v)).\nAnswer: 81*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 1477.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -7*p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14.19? (a) -5 (b) -2\/55 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 4. Calculate i(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 11*q**2 + 10*q - 7. What is a(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - 207 + 109 = -138 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1299+52\nAnswer: -1247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 - 1661*i + 560*i as m + c*i and give c.\nAnswer: -1101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1048606 and 44234?\nAnswer: 2602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/4)*r*r\/(r*r\/(r**(11\/4)*r)))\/(((r**5*r)\/r)\/r**(-7)))**(-20) assuming r is positive.\nAnswer: r**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-8 - (6 - 9))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w - 12. Let l(r) = -3*r**2. Give m(l(g)).\nAnswer: -6*g**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/4 - 23*c**2\/4 + 5*c + 11.\nAnswer: (c - 22)*(c - 2)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70355\/11 + 6401. Let y = 63\/11 - g. What is the common denominator of y and 15\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.273 times 0.1?\nAnswer: -0.0273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1165107\/14 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-140)\/(-750))\/((-21)\/(-30))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 125 + -119. What is the least common multiple of c and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gnnhvvhgainhv. Give prob of sequence hiag.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i - r - 9482 = -20*i, -2*i + 3790 = r. What are the prime factors of i?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3035544 + -5?\nAnswer: 3035536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 3 (b) 5 (c) 0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79 - 71. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 1850583600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c + 2273. Let d(x) = -2*x - 7. Determine -4*d(f) - 2*s(f).\nAnswer: 2*f - 4518","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19886*p**3 + 142*p + 1 wrt p.\nAnswer: 119316*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -20 + 5. Solve 4*g - 7 = -t*m, -1 = -5*g + g + 3*m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/19, -2, 13, 0.5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -806808*k**2 + 436700*k wrt k.\nAnswer: -1613616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w**2 + 2*w**4 - 4*w**2 + 0*w**4)*(-2 + 3 - 3) + (19 - 19 - 2*w**2)*(-w**2 + 3*w**2 - w**2) + 0*w - 4*w**4 + 0*w.\nAnswer: -10*w**4 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/210 and -55\/6?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.247 and -10870.\nAnswer: -2684.89","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 70 = 5*s, -3*i - 27 = -2*s + 18. Let t = -12 + 8. Let b(p) = -p**3 + 4*p + 10. Calculate the remainder when b(t) is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 0.1, 5, -18\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) -0.035 (c) -5\/6 (d) 3\/7 (e) 0.5 (f) 3 (g) -25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 61*p + 59*p - 6, 0 = 4*i - 4*p + 36 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/36*18*1\/(-33)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6*x - 126. What is i(-43)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-5*(2 + sqrt(52)) + sqrt(52) - -4*(sqrt(52) + -2)) + -1)**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 + 9*g - 7. Let b be w(-6). What are the prime factors of (5 + b\/(-2))*-590?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3\/8, 3, -11.63, -0.5, -3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 45*u - 4749 + 6*u**2 - 2*u**3 + 2374 + 2375.\nAnswer: -3*u*(u - 5)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 576 = 5*t - 2564, 1 = q. Let g = 1072 - t. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-34)\/(-8) - 2\/12*30. Sort 2\/5, a, -16, -0.2 in decreasing order.\nAnswer: 2\/5, -0.2, a, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.069300659 times 1\nAnswer: -0.069300659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5*k - 6 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -6. Suppose f*k + 5*s - 9 = 0, -2*k = -k + 5*s - 3. Suppose c - 37 = -k*w, 4*w - 6*w - 5*c + 42 = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*g**2*o**4 - 6612*g**2*o**3 - 6*g**2*o**2 + 47*g*o - g wrt o?\nAnswer: 168*g**2*o - 39672*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6039491080?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**3 + 6*k + 8*k**2 - 4*k**3 - 2*k - 2*k - 4*k. Let t(o) = 2*o**3 - 8*o**2 + 3*o. Calculate 3*h(w) + 2*t(w).\nAnswer: w**3 + 8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 - 1)*(-2 + 4 + 0) - 9 + 1 - 2)*(-55 + 55 - 3303*k - 91*k).\nAnswer: 47516*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 978 + -977.3. Which is the second smallest value? (a) -3\/4 (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -331, -688, -1045?\nAnswer: -1402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, o: 7, g: 2}. Give prob of sequence gp.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 1. Let f(l) = -l - 2. Suppose 5*s - 29 = 3*i - 0*s, 5*i = -s - 11. Calculate i*f(q) - 5*n(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 15*y**2 - y + 1. Let u = -1010 + 1011. Determine g(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -2 - (12 + 6 + -12 + -6)) + 4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/245*34\/((-5100)\/(-175))*20\/(-6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - -2) + (-60 - -45 - -3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a meter in centimeters?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 24 = -2*k - 24*a, -3*k - a - 50 = 0. Let x be ((-8)\/72 - 92\/k) + -5. Solve 0 = -3*p - 2*j - 3, -p + x*p - 1 = -j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -6*y. What is the third derivative of y*x**3 - x**3 - 2*x**3 + x**2 wrt x?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4250, 10, -4 in descending order.\nAnswer: 4250, 10, 7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94*z**2 + 12*z**2 + 199*z**2 + 184*z**2)*(-7*z + 3*z + 3*z + (0 + 3 - 1)*(0 + 0 + 2*z) - 22 + 22 - 7*z).\nAnswer: -1956*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*m + 14784 = -128*m + 206*m for m.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 3:47 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/341 in -4, 1, 4, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, e: 5, r: 2, s: 5}. Give prob of sequence se.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*p**3 - 7*p**3 - 10*p**3)*(p + p + 0*p)*(0 + 2 + 0) as h*p**4 + z*p**3 + x*p + s + g*p**2 and give h.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 + 3*n**2 + 0*n**2 + 2*n**2 - 107*n - n.\nAnswer: -2*n**2 - 108*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1054 - -5287\/5. Is 2 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((0 + sqrt(567))**2 + sqrt(567) + -3) - (0 + sqrt(175) + 3 - (-3 + 2*sqrt(175))).\nAnswer: 23*sqrt(7) + 1122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12, -11, 12, 69, 172, 333, 564, 877?\n\"Answer: 2*r**3 - r**2 - 10*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1343 = 8*s - 6537. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 0.0842.\nAnswer: -0.005894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -3ee8?\nAnswer: 3eed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*f = -5 - 17, u - f = 9. Suppose -2*z = 3*n - 2 - 7, n = u*z + 17. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -11*d - 12. Suppose -u = 4*x + 62 - 14, 0 = 4*x - 3*u + 48. Let r(h) = -27*h - 30. Let i(v) = x*n(v) + 5*r(v). Determine i(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + a + 46. Let s be (-1 - -2) + -3 + 2. Let r be t(s). Let d = r - 18. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 2*o**2 - 1367*o - 8280. Determine l(-6).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/13, 0.2, -0.6, 15.9 in increasing order.\nAnswer: -0.6, 0.2, 12\/13, 15.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -2\/7, -0.081, 3, -0.3 in descending order.\nAnswer: 3, -0.081, -2\/7, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9052013 = 181*k + 115*k + 53*k. Is k a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytytyiyiqltlifyiytqy. What is prob of picking 1 l, 1 t, 1 y, and 1 f?\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 - -54. What is the smallest common multiple of f and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 932 - 932.02418. Round c to three decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -5*t**5\/4 - t**4\/12 - t**3\/6 + t**2\/2 + t + 83. What is j(1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-4*(sqrt(200) + sqrt(200) + -1) + sqrt(200))*3 - (2*sqrt(200)*-6 - -2*sqrt(200)*1)))**2.\nAnswer: -23760*sqrt(2) + 219096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1836\/(-15912))\/(((-81)\/(-30))\/(-9)).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 1:58 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 4*m**2 + 4*m - 2. Suppose -2*h - 4 = -10. Let o be g(h). Put o, 0.01, -1\/4 in descending order.\nAnswer: o, 0.01, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 37*a + 291 + 293 + 325 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 7 = 19. Suppose -4*l + 2*h + 4 + 4 = 0, -2*l = 2*h + s. Suppose -4*j + 17 = l. Solve -i = -5*w - 20, -5*i = -j*w - 7 - 30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 8*h**2 - 6*h - 34. Give a(-7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16836 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5140237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -1445\/6 (b) -2\/15 (c) -1645\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i - 10. Suppose -4*w + 1 = 9. Let l(v) = -v - 3. Give w*p(c) + 7*l(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -934.4 + 934. Suppose 2 + 0 = -a. Let w be (-4 + 2\/2)\/(-1). Sort a, o, w in descending order.\nAnswer: w, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4 + 2*h**2 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 3*b**5\/20 - 4*b**2 + 2*b. What is the derivative of z(f) wrt f?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 44*j**2 - 3*j - 1. List the prime factors of o(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 + 3895*l + 18. Let a(n) = -n**3 - 15*n**2 - 27266*n - 136. What is 2*a(r) + 15*z(r)?\nAnswer: -2*r**3 + 3893*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125190213.\nAnswer: 3, 41730071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 390.0798 millennia to decades.\nAnswer: 39007.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23773264*k + 115 - 92 + 23773266*k.\nAnswer: 2*k + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001001011101101010 (base 2) in base 7?\nAnswer: 2362164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 8:31 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 76, 8, 230 in descending order.\nAnswer: 230, 76, 8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -84576553, -84576554, -84576555?\n\"Answer: -w - 84576552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 204 - 393?\nAnswer: -18f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2795 and 333895?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d (base 15) in base 5?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48835897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(5*sqrt(21)\/sqrt(3)) + ((2*sqrt(108))\/sqrt(9))\/sqrt(4))**2.\nAnswer: 363\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 102 = -12*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*sqrt(1539)*-2 + -3 + (sqrt(1539) + 3*sqrt(1539) - sqrt(1539))**2) + -1.\nAnswer: 216*sqrt(19) + 55391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -344 + 338. Let j(c) = 22*c**2 + 14*c - 24. Let s(z) = 19*z**2 + 13*z - 22. Let k(q) = f*s(q) + 5*j(q). Factor k(y).\nAnswer: -4*(y - 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*k = 15, -6*o = -2*o - k + 9. Let y be (4 + o)\/(45\/(-6)). Suppose -5*l - 8 = -t, -t - t = -5*l - 11. Is y > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {z: 9, x: 3, g: 2, v: 1, b: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 5 + 5)*(70 + 24 - 363) - 11*x + 20*x + 10*x.\nAnswer: -250*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 28*v + 69. Let f(k) = -23*k - 67. What is 5*f(o) + 4*l(o)?\nAnswer: -3*o - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*m + 19. Let w(c) be the second derivative of 0*c**5 + 1\/30*c**6 + 0*c**3 + m*c**4 + c**2 + c + 0. Differentiate w(n) with respect to n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23431, 46857, 70283, 93709, 117135, 140561?\nAnswer: 163987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 5 (c) -0.2 (d) 0.4 (e) -2\/185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 154*n**3*y**2 - 670*n**3 - 6*n*y**2 wrt y?\nAnswer: 308*n**3*y - 12*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77066, 76853, 76558, 76187, 75746, 75241, 74678, 74063?\nAnswer: 73402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -268*p - 5 + 1 + 267*p. Suppose 3*c + 1 = 2*c + 5*j, 27 = -5*c + 3*j. Let l be a(c). Sort 3, 8, l in descending order.\nAnswer: 8, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*l**6)\/l)*l\/l**(-1\/11))**3*l**(-3\/7)*l**(-7)*l**(5\/3)*l**(-3\/10)*l assuming l is positive.\nAnswer: l**(-38783\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 3922836 and 3922884 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -1\/12*w**4 + 54*w + 6*w**3 + 0*w**6 + 0*w**5 + 5\/21*w**7 + w**2 + 0. Find the second derivative of c(j) wrt j.\nAnswer: 200*j**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165271 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1245 + -39?\nAnswer: -38.8755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (210 + 64 - 129) + -74?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258874673 to the nearest integer?\nAnswer: 16090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -588\/3314695?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -366.9 rounded to the nearest ten?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8703704971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 488*x + 6 + 8 + 14 + 8261*x.\nAnswer: 7773*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 260213977 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/11 + 6\/(-33). Suppose 2*b + c*b = 4. Suppose 3*w - 23 = -5*t, b*t + 37 = 3*w - 0*t. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1158 - -4637\/4. Let s(x) be the first derivative of 18 - 40\/3*x**3 - 105\/2*x**2 - v*x**4 - 90*x. Find f such that s(f) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6264 divided by -5\nAnswer: 6264\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 4*h**2 - 4*h + 5. Does 21 divide m(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362386 is divided by 302?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 901 or -2\/7631?\nAnswer: -2\/7631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 3)*(-4*o + 4*o - o) - 252 + 518 - 272 - 2*o - 2*o - 2*o + 6*o as w + v*o and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b + -11765?\nAnswer: -11747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*f + 93*f + 5804 - 1333 = 0 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 0)*(-10*b**4 + 4*b**4 + b**4) + b**4 + 5*b**2 + 89*b - 89*b to m*b + d*b**2 + x + f*b**3 + l*b**4 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -5*a - r, 0*r - r = 3*a - 8*a - 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*n - 1642 = 75*n + 1165 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 110?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1836493.246 and 3?\nAnswer: 1836496.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1194178, 1194089, 1193854, 1193401, 1192658, 1191553, 1190014, 1187969?\nAnswer: 1185346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 130314417?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 54730*m**3 + 0*m - 743*m**3.\nAnswer: 53987*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/14 and 133\/181242420?\nAnswer: 1268696940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zamammzmmazgzlagvlmm. Give prob of sequence vlg.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 6*z**2 - 8*z - 19. Let j be w(8). Suppose 3*o + 8*s + j = 4*s, -o + s - 8 = 0. Is -58*(-5)\/((-10)\/o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 919760183?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 34*q**3 + 3*q**2 + 204. Let b(g) = -64*g**3 - 6*g**2 - 408. Let r(l) = -3*b(l) - 5*m(l). Differentiate r(t) wrt t.\nAnswer: 66*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-31 + -5)*8\/(-2)*-15\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2251, -4499, -6747?\nAnswer: -8995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + (sqrt(304) - (sqrt(304) + -1))**2 - sqrt(152)\/(sqrt(200) + sqrt(8)).\nAnswer: 1 + 23*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14 - 3)*2\/80. Let u = k + -1\/40. Let f = 14\/33 + -1\/11. Which is the biggest value? (a) u (b) 5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -610.2 + 637. Round o to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*w - f, -w + 42 = -5*f + 16. Solve 0 = 3*k - 4*z - w, -4*k + 4*z = -0*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -14 - (1 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.9735 to one dp.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from ydtdtdtyttdt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 - 56*h**2 - 8. Let a be y(-28). What is the nearest to -0.1 in 0.07, a, 1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)*-2*-1)\/(sqrt(192)*2))\/((5*sqrt(432))\/((sqrt(96)\/sqrt(2))\/sqrt(6))).\nAnswer: sqrt(7)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (10\/20*9*(-1)\/9)\/(-5)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -5. Sort 4, s, 5, 7 in descending order.\nAnswer: 7, 5, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, a: 2, j: 3}. What is prob of picking 1 j and 1 a?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -904, -1774, -2624, -3442, -4216?\nAnswer: -4934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*h = 81*h + 49 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m. Let f(p) = 10670*p + 873. Let d(t) = -49*t - 4. Let n(h) = 873*d(h) + 4*f(h). What is g(n(y))?\nAnswer: -291*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36\/11 - 17\/11. What is the common denominator of -2 - -4 - (-736)\/(-391) and p?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -378, -756, -1248, -1860, -2598?\n\"Answer: -x**3 - 51*x**2 - 218*x - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 33\/5 of a micrometer?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 7 = -2*r - 0*q, 0 = -r - 5*q + 11. Suppose -4*t + 2*t + r = 0. Suppose -v = t*v + 2*s - 32, 24 = 4*v + 4*s. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1593623082?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2) + 11\/2. Let v(r) = 5*r - 4*r - x + 3*r. What are the prime factors of v(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 584*x - 247. Is p(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (11 - 15 - 4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 9 = -4*q. Let j be (q\/20)\/(9\/15). Sort 1\/4, 4, j in descending order.\nAnswer: 4, j, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**3\/2 - 5*l**2\/2 + 4*l - 5. Let n(j) be the first derivative of h(j). What are the prime factors of n(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70100 = -2380*s + 205760 for s.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 202 = -2*g, -4*s + 5*s - 66 = g. List the prime factors of 1\/((-10)\/(-1438)) - (-14)\/s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5220628 to the power of 1\/2, to the nearest integer?\nAnswer: 2285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9269 divided by -109282?\nAnswer: -9269\/109282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v + 25 = -9*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -5*a - 0*a. Suppose 6*u = u + 30. Let o = a - u. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**3*s*s**5*s*(s*s**10)\/s*s*s\/s**18 assuming s is positive.\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n - 3*n + 3*n)*(-717 - 2335 - 934 - 180 + 258) to c*n + o and give c.\nAnswer: -7816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 10:39 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxcccgllxgccxcc. Give prob of picking 2 g and 1 c.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -2\/9 (b) -0.6 (c) -0.28 (d) -5 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.2 - -2. Which is the nearest to 1? (a) -2\/9 (b) o (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 13) to base 2\nAnswer: 101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 2*f**3 - 5*f)*(-18 - 12 - 5 + 0).\nAnswer: 70*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**2 - 104*l - 94. Let t be y(-20). Sort 10, -2, -3, t.\nAnswer: t, -3, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100096302 divided by -38707?\nAnswer: -2586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -9. Let c be 5\/1 - 462\/99. What is the second biggest value in c, n, 0.3, -4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u - 23*u**2 + 3*u + 2 + 22*u**2. Suppose 2*x + 3*x - 19 = -4*p, 2*p = -4*x + 8. What is z(p)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:50 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 507.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*4\/5*-120.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/20824 and -6\/106685?\nAnswer: 116926760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/21 - 208\/(-144)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by -14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (11\/495)\/(9\/45)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 5*o + 7. Let a be t(-5). Let n = a - 11. Let l(x) = -7*x + 3. What is the remainder when l(n) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5857 divide 808980554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 73537 rounded to the nearest one hundred?\nAnswer: 73500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeveevve. Give prob of picking 3 v.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7998 and 38098.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from achalyh. Give prob of sequence cl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2186*b**3*h**2 - 26*b**2*h**2 - 13*b**2*h wrt b.\nAnswer: 13116*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**2 - g - 1. Suppose -10 = -2*h - 0*h + 4*z, -4*z - 16 = -4*h. Let c(m) = -3*m**2 - m. Determine h*c(d) - 2*a(d).\nAnswer: -3*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -36*u**2\/11 - 166*u\/11 - 8 = 0?\nAnswer: -4, -11\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/2)*d**7*d)\/(d\/d**(1\/2)*d)**(-5\/6))\/(d\/d**0*(d**(2\/31)\/d)\/d)**(-14) assuming d is positive.\nAnswer: d**(-539\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*v + 2. Let u be -5 + v + 2\/(-4)*2. What is the third smallest value in u, -2\/7, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*u - 2*o, -u = -3*o + 19 - 27. Let c(j) = 157*j**3 - 74*j**2 + 6*j - 2. Let s(g) = -g**3 + g**2 - g + 1. Let z(v) = u*s(v) + c(v). Factor z(d).\nAnswer: d*(5*d - 2)*(31*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 18*u + 117. Let s be w(-23). Find the third derivative of -16*a**3 + 31*a**2 + 103*a**s - 13*a**2 wrt a.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -17, 9, -1, 3\/2, -2\/37 in decreasing order.\nAnswer: 9, 3\/2, -2\/37, -1, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 + -63. Let b(t) = -4*t + 7 - 4 - 2*t + j*t. Suppose 6 = 6*n - 3*n. Determine b(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 193083903*u**5 + 164297894*u**2 wrt u?\nAnswer: 11585034180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 14 = -2*l - 1, -6 = -3*l + 5*b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -977.34 > -2.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 1 - 1)*(-6*c**2 + c**2 - 6*c**2) + (2*c - 3*c + 0*c)*(0*c**2 - 2*c**2 + 0*c**2) to t*c + f*c**3 + g*c**2 + n and give f.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -29*q**6\/6 - 17*q**5\/5 - 90*q**3 - 7*q**2\/2 - q - 4560. Find the third derivative of n(s) wrt s.\nAnswer: -1740*s**2 - 408*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z + 10. What is the second smallest value in z, 1\/4, -11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 + 0*p + 0*p - 75 + 5*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 75141 - -467?\nAnswer: 75630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 0*v + 12 = 0. Solve -2*n = m - 1, -4*n + 8 = v*m - 3*n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**2 + 6*s + 11. Let a(y) = y**2 + y + 1. Calculate 6*a(u) - d(u).\nAnswer: u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7760231 months in millennia?\nAnswer: 0.000148001925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 4:42 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10207474 (base 8) to base 4\nAnswer: 20100330330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -197 and -0.02.\nAnswer: -197.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*t\/(t**2*t*t)*t)\/t)**39*(t\/(t*t\/(t\/((t*((t**(-6)*t*t)\/t)\/t)\/t*t))))\/(t*t**9) assuming t is positive.\nAnswer: t**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r + 22. Let t be g(5). Calculate the highest common factor of 423 and t.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 18*f. Let b(l) = -27*l. Let k(r) = 5*b(r) + 8*s(r). Let v(g) = -3*g. Determine v(k(a)).\nAnswer: -27*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 61547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8833.902 millennia?\nAnswer: 883390.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 3. Let f be d(-7). Solve f = -2*s - 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20\/7, 0.131, 42, -1?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 8. Suppose -2*s + 5 + 13 = -2*g, t = -2*s - 4*g. Let d = 336 - 330. Calculate the highest common factor of d and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3124597 = -3*w - 8944597. Round w to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*q**3 + 18 + 19 + 62*q**3 + 22*q**3 + 353*q**3.\nAnswer: 711*q**3 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f + 12 = 3*h + 17*f, 4*h - 15 = -5*f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2160 is divided by 2120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 30 = 3*s, -5*s - 29 = 5*n - 3*s. Let z(c) = 30*c - 15*c - 13 - 17*c. Let m be z(n). Solve -2*v - 3 - m = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 123\/4 - 15\/(-60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8795 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 7*t + 92 = 0, 0 = 2426*n - 2430*n - t + 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 307358.398 rounded to the nearest 1000?\nAnswer: 307000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**4\/7 + 46454*r**3\/7 + 318800192*r**2\/7 + 540749059584*r\/7 = 0.\nAnswer: -10352, -2523, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 3*t**2 + 2*t + 4. Let u be s(-3). Let p = 1 - u. Suppose -3*j + 21 = 4*w, 0 = 2*w - p*j + 3. Solve -4*g + w*g + 1 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9437644.\nAnswer: 2, 29, 81359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -620 or -619?\nAnswer: -620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/45 + 4968\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 6*m + 3*v, 3*m - 4*m + 4*v = 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 2)\/2 + 1. Suppose c + z = 4*k, -c + 5*k = -2*c - 29. Calculate the remainder when 52 is divided by (-4)\/6*231\/c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 167*a + 7150. Give h(-127).\nAnswer: 2070","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 381 = -399. Solve 3*d - y*d = -12, -q = d - 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 4 - -9) + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 13*c**4\/24 - c**3\/2 - c**2. What is the first derivative of y(n) wrt n?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*f - 4682 + 4712 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + m**2 - 1 + (3*m**2 + 3*m**2 - 4*m**2)*(-4 + 1 + 0) + (0*m - m + 0*m)*(-730 + 730 - 1160*m) to o + y*m**2 + r*m and give y.\nAnswer: 1155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.5 (b) -117 (c) 0.03 (d) -2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145, -147, -151, -157?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 + 1 - 213*q**2 + 211*q**2 - 2*q - 2*q**3 + 1 as v*q**4 + w*q**2 + p + m*q + a*q**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30.6 + -25. Let d = l + -0.6. What is the smallest value in d, 2\/9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**4\/9 + 4*b**3\/3 + 3*b**2 - 68*b\/9 - 28\/3 = 0. Calculate b.\nAnswer: -7, -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*f**4 + 2)*(1 + 2 - 5 + (0 + 1 - 2)*(-1 - 2 + 5) - 9 + 2 - 3 + 0 - 1 - 5 + (6 - 2 - 3)*(1 + 4 - 2)).\nAnswer: 34*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (603\/9)\/((-1)\/(-5)). Let h = l + -189. Let c = 36 - h. Round c to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1134 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.691194m?\nAnswer: 69.1194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lml when three letters picked without replacement from {m: 5, l: 6, d: 2}.\nAnswer: 25\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 906752 and 9856?\nAnswer: 906752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/72 and 77\/(-726) + 5\/(1 + -6)?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/94682328 and -137\/23670582?\nAnswer: 94682328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 119865736832 and -0.558?\nAnswer: 119865736832.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2 + 1469*a - 19923. Give d(14).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**3 + 3*s**3 - s**3)*(-9*s**2 - 3*s**2 + 2*s**2) + 25*s**5 + 94*s**2 - 94*s**2 + (5*s - 5*s - s)*(0*s**4 - s**4 - s**4).\nAnswer: 47*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-71)\/(-21) - 2\/(-7). Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*b + 745, -u - 3*b = -23 - 130. Suppose -x + 4*s = 2*x - u, -s + 3 = 0. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*n, -5*n + 308 = -2*t. Let j = -31 - t. Let y = j - 133. Calculate the common denominator of y and 28\/29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50122 is divided by 49787?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*m - 10, -3*q - 4*m + 0*m = -16. Put 1, -3, q in descending order.\nAnswer: q, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (261 + -260 - (-1 - 4)) + (-4 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/2)\/(w\/w**4)*(w*w\/w**(2\/7)*w)**(-1\/10))\/(w**0*w*w*w*w\/w**(1\/5))**(-18) assuming w is positive.\nAnswer: w**(2542\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1 + sqrt(1053))*-3)**2.\nAnswer: 108*sqrt(13) + 9481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.05 - 5. Let f = w + -6.05. Let b = 6.4 + f. Sort b, -1, -0.2 in increasing order.\nAnswer: -1, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3032 = 7*m. Let z = -252 + m. Suppose 5*f - z = -5*x + 423, 0 = 5*f - x - 580. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 2*q. Let b(i) = 7*i - 4. Let z(x) = -81*x + 42. Let p(g) = -21*b(g) - 2*z(g). Determine u(p(o)).\nAnswer: 225*o**2 + 30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266281.\nAnswer: 266281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)*-2 + sqrt(275))\/sqrt(5))\/sqrt(5).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4305 = -17*x + 304*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4307029us to nanoseconds.\nAnswer: 430.7029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 1, -6 in increasing order.\nAnswer: -6, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5 = n, 2*n - 3*k = -0*k - 14. Is 27 a factor of 29 + -4*(-3)\/(n - 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 60695\/243?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aczu when four letters picked without replacement from azuuczauuaahuaruuhrz.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -613, -2506, -5675, -10120, -15841, -22838?\n\"Answer: -638*z**2 + 21*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -36*r**2 - 4\/3*r**3 - 972 - 324*r = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*u - 28*u + 4 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n. Let x be k(-3). Let b be (5 - 1 - x) + (141 - -1). Suppose 0 = 7*h + b - 1599. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from jwljjllllglllwlwklj.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*r + 5*a, -5*a - 7 = -3*r + 25. Let c(i) = i**3 - 6*i**2 + 9*i - 6. Let q be c(r). Is -2 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bih when three letters picked without replacement from {h: 1, b: 2, i: 4, s: 1, v: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -1\/40*n**6 - 26*n**2 + 1\/12*n**5 + 0*n**4 + 0 + 0*n + 0*n**3. What is the third derivative of b(d) wrt d?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w**5\/11 - 107168*w**4\/11 + 412978*w**3\/11 + 1346552*w**2\/11 + 183624*w\/11 = 0. Calculate w.\nAnswer: -2, -1\/7, 0, 6, 7651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 14*r + 151. Let f be ((-110)\/25)\/((-11)\/5 - -2). Does 17 divide i(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288993008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34*z**2 - 72*z - 8.\nAnswer: -2*(z + 2)*(17*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41573 is divided by 210.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17 + -6 + 24)\/((-1)\/(-8)). Solve 4*p = -2*o - d, 0 = -3*p - p - 3*o - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 16 = -7*b. Let q = 133 + -71. Suppose b*a + q = 247. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 357768?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.54 + -87.14. Let u = m - -83. Which is the biggest value? (a) u (b) 23 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 2 - 12*a - 13*a + 15804*a**2.\nAnswer: 15804*a**2 - 25*a - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5825 = 3*g, 0 = g - 2*g + 2*m + 1947. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llclclll. Give prob of sequence clc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.4, 0.567?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 1 = -4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 r when four letters picked without replacement from krkkpprppkprkrrkrrkk?\nAnswer: 196\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, i: 1, k: 1, h: 1, g: 1}. Give prob of sequence pkgi.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 6237.\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65573714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16176 and 8348838.\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 58494*(-1 + (-668)\/(-660)). Let d = 178381 + -888384\/5. Let f = d - n. Find the common denominator of 20\/7 and f.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(300) + -5)**2 + -1.\nAnswer: -200*sqrt(3) + 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.638 + -0.63943. What is u rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 16*z. Let c(g) = -13383327*g. Give c(l(y)).\nAnswer: -214133232*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.946 from -1.1.\nAnswer: -0.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 136161402 to the power of 1\/3, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, b: 5}. Give prob of sequence bboo.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(5)*-1 + 2 + sqrt(88)\/((sqrt(32) - sqrt(8))*-3))**2.\nAnswer: -16*sqrt(11)\/3 + 212\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + (-13570)\/((-5290)\/(-46)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 51 = -3. Let j = 4 + d. What is the remainder when 3 is divided by 4\/j + 30\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 5204 (c) 4 (d) 0.4 (e) 3\/4 (f) 10 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.0202499 (b) -1\/4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 221 + 142034?\nAnswer: 142255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 16, e: 1, o: 1}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y**2 - 7*y - 49. Let l(c) = 3*c**2 + 3*c + 25. Let i(z) = 7*l(z) + 4*t(z). Let b be i(9). What are the prime factors of ((-303)\/b)\/(2 + -1)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0816359 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + 11. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 15*l**2 - 33*l - 48. Let m(i) = -i**2 + 2*i + 3. Let o(j) = -2*c(j) - 33*m(j). Suppose -a + 0 = 3. What is the tens digit of o(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10217 - 1102. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 3*l**3 + 0*l**3)*(-2091*l + 288*l**2 + 2091*l).\nAnswer: 288*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1100211 (base 6) to base 12\nAnswer: -27667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16874 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 27, -0.5, -3, 4, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.512 + -5.512008018. Round f to seven decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78 - -82. Suppose -26 = -5*h - g*u + 36, -3*u = -4*h + 31. Suppose h = 4*a + a, -4*a = -x + 7. What is the remainder when 70 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-216)\/(-9) - (-378)\/(-16)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 632 and 1738?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -2bc8?\nAnswer: 2c03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*k**4 + 4989*k**3 + 158*k**2 - 1512*k - 2?\nAnswer: -216*k + 29934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 606609620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + (-4)\/(-2) - -3. Let n(j) = 7*j - 20. Let w(r) = 35*r - 106. Let c(m) = -11*n(m) + 2*w(m). Let x be c(f). Solve 2*p = x + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.121 + 0.016. Round i to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*o**3 - 2303*o + 2303*o + 4 + 3*o**2)*(-13*o**2 + 60 - 60).\nAnswer: 104*o**5 - 39*o**4 - 52*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2. Let o(x) = 8*x**2 - 21*x**2 + 10*x**2 + 11*x**2 - 12*x**2 + 144. Give o(a(r)).\nAnswer: -16*r**4 + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -4.985. Let t = q - 5.215. Let i = t + 8.3. Round i to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 226575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvzr when four letters picked without replacement from rrmzvzmmmmmrmmvmz?\nAnswer: 27\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**2 + 15*j - 15. Let a(v) = v - 1. Let w(d) = -15*a(d) + k(d). Let o(l) = 2*l**2 + 8. What is w(o(x))?\nAnswer: -12*x**4 - 96*x**2 - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 58077103 to the power of 1\/2, to the nearest integer?\nAnswer: 7621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a5 + -b?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 10*g**3 - 1. Suppose 3*k = -2*a - 2*a - 17, a + 8 = 3*k. What is the units digit of w(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.3, 15 in decreasing order.\nAnswer: 15, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.296779862 from 1.5.\nAnswer: 2.796779862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 41. Let o = -26 + a. Let k be -3 - (o + 2) - 4. Solve k = -3*t + t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18848*b**3 + 28204*b?\nAnswer: -113088*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9816*z + 84 = -9820*z - 3*p, -21 = z + 4*p for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23148 a multiple of 643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87 + -132. Let t be (-1)\/((-6)\/9)*10\/c. Let x = -1 - -0.9. Sort -4, x, t in increasing order.\nAnswer: -4, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 46*o - 225. Let s be w(5). Solve -5 - s = -5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 4. Let r = -0.8 + -0.2. Let h = -57.291 - -57.791. What is the nearest to -2\/7 in r, g, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -451178 divided by 225589\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12904 = -800*i - 663*i + 1330*i - 668 for i.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t + 10. Let a = 4570 - 4572. Determine m(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5694 + -5690. Factor -y*d**2 + 40\/3*d - 4.\nAnswer: -4*(d - 3)*(3*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 4385269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -114.4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1944080 to the power of 1\/2, to the nearest integer?\nAnswer: 1394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1865 + 67241?\nAnswer: 70216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 36*z**2 + 2 - 13*z - 34*z**2)*(-3*z**2 + 7*z**2 + 12*z**2) to the form c*z**3 + s*z**2 + v*z**4 + n*z + p and give s.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*v + 15 = -82*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1257 - -1371. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4655.945l to millilitres.\nAnswer: 4655945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 22 = -28. Suppose 14 = 2*u - 2. Let j = z - u. What is the greatest common divisor of 16 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 888746976 divided by 1248.\nAnswer: 712137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*z, -4*u - u + 4*z = -5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -532.34 + 0.059?\nAnswer: -532.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 460407991 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21222 and 3668?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534 is divided by 265?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, 64, -0.1, -4, 1\/4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1564927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32523 and 99327?\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 100\/(-35)*(-7)\/2. Suppose 4*w + h = 2. Is -2 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11702622 to the nearest integer?\nAnswer: 3421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001111 + -11000?\nAnswer: -100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 582 = 4*y + 2*g, 0 = g + 12 - 13. Calculate the smallest common multiple of y and 40.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/8 (b) 5 (c) -16\/25 (d) 0.5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/1 + 15\/(-3). Let y = h - -7. Suppose 10 = y*x - 4*a, -3*a = 3*x - 0*a - 6. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7\/(-35))\/(3\/(-216))*(-9250)\/(-75). What is the highest common factor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 15*n**3 - 2*n**2 + 2*n - 3. Let b(m) = -30*m**3 + 4*m**2 - 3*m + 6. Let j(h) = 6*b(h) + 11*d(h). What is the second derivative of j(w) wrt w?\nAnswer: -90*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 298\/264 - ((-30)\/(-24))\/5 and 76\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b2 + 10?\nAnswer: 1c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 85009 (base 14) in base 5?\nAnswer: 40233212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k + 1 - 8 - 2. Let c be t(-9). Let h = c + 2. What is the highest common divisor of h and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -76*c**3 + 13*c**2 + 25*c + 1. Let b be k(-2). Solve -b + 546 = -13*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -u**4\/12 + u**3\/3 - u**2\/2 - 3*u + 5. Let l(a) be the first derivative of d(a). Let x(q) = -q. Calculate -l(h) - x(h).\nAnswer: h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14413753 - -5?\nAnswer: 14413760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9 * -1.4557.\nAnswer: 2.76583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bggb when four letters picked without replacement from {g: 5, b: 8}?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 15. Let p be g(-20). Suppose -4*m + 27288 = -s - s, -10 = -p*s. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2684.6 - -2680.6. What is the second biggest value in -0.26, h, 11, 5, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31315?\nAnswer: 5, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 13*w**2 + 4*w + 17. What is the units digit of b(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -273236, -546614, -819992?\nAnswer: -1093370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*n = -648, 0*u + 5*n + 680 = 2*u. Which is the second smallest value? (a) -0.1 (b) u (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 7 = 6*o + 17*y - 20*y, 13 = 8*o - 3*y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 g, and 2 m when four letters picked without replacement from {y: 2, q: 2, g: 1, t: 1, r: 1, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 8 = 4*w, 2*w - 4*d + 8 = 4*w. Let k = -0.5 + 0. Let u = k - -0.4. Is u at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, -2\/103, -3\/7?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -26 + -3 - 13) + (13 - 1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, w: 7, x: 1, m: 1, q: 2}. Give prob of picking 1 x and 2 q.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + -7. Let d be (s\/(-15))\/(4\/6). Let g(p) be the first derivative of -p**2 + 3*p - 5. Let u(n) = -n + 1. Determine d*u(j) - g(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*r**3 - 255616*r**2\/7 - 6518514*r\/7 - 10404\/7 = 0 for r.\nAnswer: -51, -2\/1253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106 + -72. Suppose 0*q + 4*q + h = i, 0 = i - 5*q - 31. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 640785 is divided by 128151.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.043089 to 4 decimal places.\nAnswer: -0.0431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -316, -1\/4, -1\/3 in ascending order.\nAnswer: -316, -5, -1\/3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 42691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -2\/35 (c) 3\/2 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1088901 divided by -120989.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 868.9599 millilitres?\nAnswer: 0.8689599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 84*i. Let y(g) = -5*g. Let u(b) = 2*v(b) + 35*y(b). Let f(c) = 6196*c - 3093*c - 3095*c. What is 3*f(l) + 4*u(l)?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 13*w + 712. What is d(-57)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 564 and 585?\nAnswer: 109980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 4*i**2 + i - 5. Let u be r(4). Let w be (2 - -1) + 3\/u. Find the third derivative of 6*n**2 + 0*n**2 + w*n**2 + 7*n**4 wrt n.\nAnswer: 168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3)*21\/(-14))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r**3 + 7*r**2 - 11*r + 63. Let x(g) = 7*g**3 - 9*g**2 + 11*g - 57. Calculate -5*s(i) - 4*x(i).\nAnswer: 2*i**3 + i**2 + 11*i - 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622 a factor of 273913254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w - 4. Let r be b(4). Suppose -1 = 3*s - r. Let d = s - -4. Solve -k - y = -3*y - d, 2*k + y = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3167?\nAnswer: 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3032.2 + -3032. Which is the smallest value? (a) s (b) 0.4 (c) -4\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/5 - 18*k**2 - 104*k\/5 + 552\/5.\nAnswer: 2*(k - 46)*(k - 2)*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 2:32 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 599 + -856. Let a = t + 1151. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.44 and 3?\nAnswer: -4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 35*y**3 + 9*y**2 + 2*y. Let k(o) = -17*o**3 - 4*o**2 - o. Let m(n) = -3*j(n) - 7*k(n). Let a be 0*(1 - (-9)\/(-6)). Let t = a + -1. Determine m(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*(-2 + 2 + sqrt(13)))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 15*k - 2. Let p be y(-15). Calculate the remainder when 82 is divided by 51\/3 + -1 + p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 45 = -3*a. Solve a*f + 2 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - z**2 + z - 2. Let w(t) = 29*t**4 + 4*t**3 + 4*t**2 - 4*t + 11. Let b(m) = 12*j(m) + 3*w(m). Differentiate b(k) with respect to k.\nAnswer: 348*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -3*x - 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 31*y - 17. Let c(k) = 84*k - 50. Let t(o) = o. Let z(a) = c(a) + 8*t(a). Let h(r) = -17*j(r) + 6*z(r). What is the first derivative of h(s) wrt s?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.7 + 1.4. Let g = 3.1 - y. What is the closest to 2 in 0.5, 4, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31437, 62855, 94273, 125691, 157109?\n\"Answer: 31418*a + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115 - 24250355?\nAnswer: -24250240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*k = -5 + 2, 5*k + 64 = -3*u. Let l = 15 + u. Suppose 0 = 3*t - 6*t - 5*y + 21, 0 = -4*t - l*y + 14. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 924\/(-49)*-1*357\/153\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 11 - 6*n + 361*n**2 - 4*n - 363*n**2 - 7*n. Let u be c(-9). Find the second derivative of -25*t**4 + 0*t + u*t + 27*t**4 + 2*t wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.214386 nanoseconds in minutes?\nAnswer: 0.0000000001535731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 17*x**2 + 22*x - 13*x**2 - 8*x - 5. Let o be a(-5). Let r(d) = 5*d**3 - 2*d**2 + 2*d - 1. Let k be r(1). Solve j = -k*j + o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838701 is divided by 116?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 659 + 1917 - 629 - 629.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 129 = -x - 7, x - 104 = -4*q. Let h = 146 - x. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10065571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89546 minus 1513.438?\nAnswer: 88032.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(3060\/81)*2?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*k + 2*h - 17, 0 = -k - h - 7. Let i = -3 - k. Suppose q + i*q = 165. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 + 0.4. Let v = 2 - -33. Let l be 6\/21 + (-17)\/v. Which is the third smallest value? (a) u (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 1. Let j(r) = -21*r - 2. Calculate -2*d(c) + j(c).\nAnswer: -23*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and 20424.\nAnswer: 12254.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425 = -10*h + 915. Calculate the remainder when h is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160895, 322003, 483107, 644207, 805303, 966395, 1127483?\nAnswer: 1288567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + 3*x + 256*x**2.\nAnswer: 256*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79477642 and 755.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 897*r = 899*r - 18, 0 = p + 3*r + 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + (-3)\/(-1) + -58*1. Let a = q - -59. Let d(f) = 8*f**3 - 5*f**2 - f + 5. Let z(o) = o**2 - 1. Let w(v) = d(v) + 5*z(v). Give w(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2897457995 = 2897457996?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 29042 divided by 2\nAnswer: 14521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-184)\/48 + 104\/(-260)*141\/36?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p = 6*p - 11*p + 810 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/3 - 116*x + 5046 = 0. Calculate x.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*x**2 + 0*x**2 - 4*x**2 + 4 + 45*x**2 with respect to x.\nAnswer: 98*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 3\/5 (b) 2 (c) 4\/9 (d) -6\/61 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 20*l - 53. Let h be x(8). Suppose -f + i + 53 = -h, 5*f - 818 = -i. What is the remainder when f is divided by 49?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21037 divided by -1\nAnswer: 21037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100037?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - z = 49, 4*n + 5*z - 27 = 2*n. Suppose 4*j - 4 = n. Suppose 0 = -x - 3*g - 2*g - 10, -j*g = 15. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 392224.9*-1.58.\nAnswer: -619715.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 509897121 to the power of 1\/2, to the nearest integer?\nAnswer: 22581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, d: 6, m: 2, j: 2}. Give prob of sequence ymj.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dddddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, -200, -144, -66?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*s + 20829 - 22580 = 51*s for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2354819.\nAnswer: 2354819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54375 - 2951 - l**2 - 12912.\nAnswer: -l**2 - 70238","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 39 (b) -3\/4 (c) 3\/55 (d) 0.4 (e) -11\/139\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.9, 0.5 in decreasing order.\nAnswer: 0.9, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3304 + -3250. Calculate the remainder when 241 is divided by l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -229.73 times 1?\nAnswer: -229.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) 5 (b) 3\/2 (c) 1\/4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y**3 - 7*y + 7*y + (-5*y + 0*y + 4*y)*(-2*y**2 + 5*y**2 - y**2).\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/6 - (-95)\/38. Suppose l + 2*a - 6 = 0, -l = a - p*a + 2. Let f(w) = -20*w + 2. What is f(l)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmmm when four letters picked without replacement from mcmmcm?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-3 - 27\/(-9). Let s be m + (0 - 3) - -6. Suppose 5*z + 84996 = -4*h, 4*h - h = s. Round z to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -855 - -839. Does 8 divide (3*-1 - (15 + g)) + 442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -89288 and 2205105.\nAnswer: 2115817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.24 - 15.96. Let j = 5.72 + y. Suppose 0 = -0*q - 2*q + 2. What is the second smallest value in 2, q, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/52024455 and -101\/8876.\nAnswer: 208097820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16cb + 8?\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 238233578*s + 0 - 238233578*s + s**3.\nAnswer: s**3 - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25166 - 18700. What is the remainder when f is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.07 - -158.93. Let n = b + -161. Is n not equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21207685139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u + 2. Let o(p) be the first derivative of -p**2\/2 + p + 2340. Calculate -f(l) + 3*o(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 263528 and 0.1.\nAnswer: 263528.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87160.\nAnswer: 2, 5, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-882)\/(-175) - (3 + -8)*-1?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 16) to base 6\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 9 = 5*u. Suppose 9 = -3*z + 2*y + y, -5*z - 15 = u*y. Is 19 a factor of z\/9 + 460\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 205954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9 - 17*r**3 - 3 - 4 wrt r.\nAnswer: -51*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 677 - -2?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndu when three letters picked without replacement from nowuwdw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 271925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/(-76))\/(((-6)\/(-40))\/(5986\/410))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6007754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 841*h**4 + 92012*h**3*y - 3031*h**2 - h*y - h - 2*y + 691 wrt h.\nAnswer: 20184*h + 552072*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6307 + 2125. What is the common denominator of (1411\/q)\/((-2)\/(-6)) + 1 and -43\/22?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**2 + u**4 - u**2 - 5*u**2 + 3 in the form h*u**4 + y*u**2 + v*u + q + x*u**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - (-4*sqrt(190) + sqrt(190)))\/sqrt(10) + -2 + sqrt(19) + sqrt(19) + sqrt(931) + -1.\nAnswer: -3 + 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 1:50 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 6*y**2 + 3*y - 4. Let s be (1092\/455)\/((-4)\/(-10)). Give b(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 20 (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -442533 (base 6) to base 10\nAnswer: -36921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 447 = -b + 2*s, -5*b = -s - 2253. Suppose 0 = -12*z + 6*z + b. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 0*v + 4*v - 16 = 0, v - 1 - 1 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 1007*n + 2004*n + 6 + 0 - 999*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123\/18 - (-1)\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112\/875)\/((-776)\/1940).\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 1063*p**4 + 6267*p**3 + 12090*p**2 + 7172*p - 888 = 0?\nAnswer: -2, 111\/1063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (5 + -1 + -12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -26. Suppose 7*z - 12*z - 45 = -4*f, -z - w = 2*f. Sort 0, -1, z, 1 in increasing order.\nAnswer: z, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-834)\/(-8) - 2\/2)*4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**3\/3 - 4*t**2 - t - 16. Let l = 1447 + -1458. What is u(l)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**4\/60 - q**3\/30 - q**2\/5 + 56*q - 47. Let y(p) be the first derivative of r(p). Factor y(b).\nAnswer: (b - 2)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*q - 64*q - 1863 = 31*q for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17, 198, 683, 1622, 3165, 5462?\n\"Answer: 25*v**3 + 2*v**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 8272, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2424.511 to the nearest 10.\nAnswer: -2420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7952 + 16738 = -1195*u - 18330 for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 395100 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*y - 66 = 0, t - 84 = -3*y + 8*y. Let v = 71 - t. Sort -2, 3, v in increasing order.\nAnswer: v, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260593914 is divided by 2267.\nAnswer: 2264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((2*sqrt(500) - sqrt(500)) + 4 + sqrt(5) + 2)*1)**2.\nAnswer: -3846 - 792*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from {e: 2, t: 8, a: 1, y: 6, w: 1}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0336 - -1.4664. Which is the nearest to 2? (a) -5 (b) -0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from yhggghyy?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f**2 + 87 - 30 + 88 - 145.\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 67412215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.82 times -1.9?\nAnswer: -64.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 6*m - 8. Determine h(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7420 = -2*u + 3*n - 5*n, 0 = 2*u - 2*n - 7432. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*m**2 + 41 - 25*m**2 + m - 16*m**2 + 81*m**2 - 20*m**2.\nAnswer: m**2 + m + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1, 11\/5, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 13 - 4. Suppose 0 = -y*d + 1438805 - 317702. Suppose p = d + 1796299. Round p to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 20. Let t = -11 - -27. Calculate the least common multiple of a and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000123 rounded to 6 decimal places?\nAnswer: 0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1008 + 2*l - 736 - 2866 - l**2.\nAnswer: -l**2 + 2*l - 2594","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m - 6. Let a be y(14). Let i = 64 + a. Solve -2*g - 8 = -r, 3*g - 4*r + 5*r + i = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1 + 4*s**3 + 5*s**2 - 7*s - 13*s**3 + 1. Let w(p) = 5*p**3 - 3*p**2 + 4*p - 1. Determine 4*g(h) + 7*w(h).\nAnswer: -h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 3*q**5 + (121*q**3 - 25*q**3 - 25*q**3)*(-2*q**2 + 2*q**2 + 2*q**2).\nAnswer: 139*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 554 - 402. Is g less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*(-2 + sqrt(68) + 3 + sqrt(68) + 5)**2.\nAnswer: -924 - 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 17, -20 in increasing order.\nAnswer: -20, 17, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p - 5. Let a be (-11 - -5) + (-1 - -1). Let s(w) = -w. Let y(u) = a*s(u) - f(u). Differentiate y(l) with respect to l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 33*p + p**3 - 33*p - 2*p**2. Let n be q(2). Are 1\/12 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-12)*(-360)\/80.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*5\/(-75)*-5. What is the fourth smallest value in 12, 1\/3, m, 0.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -7) + -12 + 12 - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j**5 - 460*j**4 - 3696*j**3 - 3484*j**2 + 25688*j = 0. What is j?\nAnswer: -13, -19\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*175\/(-150)*1*-26.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8260 and 70800?\nAnswer: 495600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + z. Let y(d) = -3*d**2 + 4*d. Let f(m) = -4*l(m) + y(m). Let x(q) = -1. Let n(r) = -2*r + 1. Let o(v) = 4*n(v) + 4*x(v). What is f(o(g))?\nAnswer: 64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 689*n**3 - 5510*n**2 + 11008*n + 32.\nAnswer: (n - 4)**2*(689*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7398 is divided by 3683?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**4\/24 - c**3\/2 - 7*c**2. Let h be i(-5). Is 19 a factor of (-172)\/(-2) - (h - -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -125 - -125.088. Let q = -0.288 + g. What is the closest to 9 in -0.4, q, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 6*b**2 - 4*b - 4. Let s be v(-6). Calculate the remainder when (-115)\/(-2)*16\/s is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -215, 1, -3.\nAnswer: -215, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 4 (c) -350\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1746, -1725, -1704, -1683, -1662?\n\"Answer: 21*y - 1767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.04, -16\/9, -5\/3, -1695?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + q + 1. Let m(x) = -4*x**2 - 3*x + 4. Let y(b) = 4*i(b) - m(b). What is the second derivative of y(f) wrt f?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.3 + -5.2. Let h = 19 + -18. Which is the nearest to h? (a) k (b) 0 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 894534.4m to nanometers.\nAnswer: 894534400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + ((3 - -1)*12\/16 - (-7 - -2)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7768124 is divided by 3324?\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2 - 6) + 2 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (-14 + (-9)\/3). Let h be (12\/(-8))\/((-1)\/o). Does 11 divide 18\/h - (-258)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5\/2 (b) 21 (c) 2\/15 (d) -154 (e) 0.222 (f) -2\/5 (g) -2\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3147.496 to zero dps.\nAnswer: 3147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 695212.45 to the nearest 10000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -134 + 134 - 65*r**3 + r**3 + 0*r**2 + 0*r**2 + (r - r + r**3)*(-1 + 4 - 1) + r**3 + 0*r**3 + r**3 - 3*r**3 - 3*r**3 + 4*r**3.\nAnswer: -62*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 813 + -812.9. Let w = 2\/1113 - 1123\/5565. Let v be 9\/(-21) + -1 - -2. Which is the nearest to t? (a) v (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g**2 + 707129 - 707129 + g.\nAnswer: 12*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 3:26 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 260780 to the nearest one thousand.\nAnswer: 261000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 4:18 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 75 in -33\/10, -1\/3, 0.5, 1\/4, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 5:00 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 245 - 241. Suppose -5 = 2*g - 11, a*g = -3*h + 4545. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(68) - 4*(-2*sqrt(68) + sqrt(68)) - sqrt(68)))\/(-2*sqrt(64)*3).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14303110.\nAnswer: 2, 5, 53, 26987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2334367 is divided by 1671?\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 9\/10, 1, -112?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 a factor of 541915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4\/7 - 16644*d**3\/7 + 9030730*d**2\/7 - 1276982400*d\/7 + 2517975000\/7 = 0. What is d?\nAnswer: 2, 285, 7750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 8:51 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -24*a. Let i be d(-1). Let q = i + 4. Let x = -17 + q. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19.84 - -19.59. Sort 2\/17, 2\/21, g, 1\/4 in ascending order.\nAnswer: g, 2\/21, 2\/17, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1012)\/(-6) - (-1)\/3. Suppose -r = 6*x - 547. Calculate the greatest common factor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 589721.1 weeks to nanoseconds.\nAnswer: 356663321280000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 344 = -13*l, -2*l - 40 = d + 2*d - 7*d for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 572329 to the power of 1\/2, to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -1\/6*a**4 + 2*a**2 + 1\/60*a**5 + 0 - 1\/6*a**3 + 5*a. Let x = -12 - -17. Give m(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 4596 - 3126 = 0. What is the highest common factor of s and 1161?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (3 - -1 - 10) - 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42951 and 7645?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 0. Let d be 20*(2\/(-5) - u). Suppose -6*t = -2*b - t + 185, -t = -3*b + 245. Calculate the highest common factor of d and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 143\/(-22) - -5) + (-1)\/2. Which is smaller: -14\/481 or k?\nAnswer: -14\/481","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -978*d - 920*d + 4498 = 2600*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 - 26*v.\nAnswer: -2*v*(v + 65)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**6\/40 - 19*g**5\/20 - 29*g**4\/2 - 48*g**3 + 2404*g**2. Factor v(b).\nAnswer: 3*(b - 24)*(b + 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b + 3*b - 5*b - 4*b + 5*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 14*f**2 - 15*f. Let t be b(15). Let l be (t - 1)\/((-4)\/28). Solve 0 = -5*o - 15, 4*v + 4*o = -o - l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/10)\/((-26)\/65))\/(-5).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5679 + -73823\/13. Suppose -2*y = -2*u, 2*u = 2*y + 3*y. Is y < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 6 - (13 + -8 + -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 451.4 + -451. Which is the closest to z? (a) -0.4 (b) 7 (c) -0.5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1243, 2379, 3605, 4903, 6255?\nAnswer: 7643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/10553 and -83\/168848?\nAnswer: 168848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -393 times 0.7?\nAnswer: -275.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7940?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.77 - -0.73. Let q = f + -6. What is the closest to -1\/2 in 2\/11, 3\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 15\/7, -3\/2, 1.\nAnswer: -3\/2, -0.1, 1, 15\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.06 (b) 2\/17 (c) 3 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 2\/15, -79\/5 in decreasing order.\nAnswer: 2\/15, -79\/5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16873 + -16869. Solve z + 4*d + 14 = 0, 0 = c*z + 98*d - 102*d - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*p = 0. Suppose p = 6*a - a - 190. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p + 0*p)*(3*p - 4 + 4).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/12 + -13 + 0)\/(12\/18).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -11*s + 2. Let t be r(-2). Suppose 3*a + t = 6. Let m be (a\/4)\/3*0. Solve -h - 2*h + 3 = m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - 1*-1*sqrt(33))\/(sqrt(11)*3*5))**2.\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -24, 3, 4, 0 in ascending order.\nAnswer: -24, -3, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2799, -11148, -25001, -44310, -69027?\nAnswer: -99104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + 36\/(-21) + 14040\/(-1512)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -2\/11, 167, 18, -4\/7?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 108 (b) -13 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 17*v**2 - 98 - v**3 + 19*v + 4*v**3 - 4*v**3 - 89 + 182. What is b(18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 5:16 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/15923918 or 0?\nAnswer: 9\/15923918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -243 - -246. Solve h = z - 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15873 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -84273 divided by 28091\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172735669?\nAnswer: 19, 47, 193433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -22. Suppose 6 = 4*a + 2*m - 10, 0 = -2*a - 2*m + 12. What is the smallest common multiple of d and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 791 - 1286. Let i = c + 198. Find the common denominator of (-1)\/(-3)*i\/15 and 48.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 714383 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 147 and 16?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-15)*3*(-5)\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/21)\/((-1)\/4749). Suppose 5*x + i = 3*j, -x - 201 - 112 = 3*j. Is (-1)\/(-2*(-2)\/x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**2 + q + 3. Let y(w) = -w**3 + w**2 + 1. Suppose -7*v - 8*v = 45. Give v*y(t) + k(t).\nAnswer: 3*t**3 + t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-10)\/(-15) - (-285)\/(-513)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406 = -106*v - 118 + 560 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) - (sqrt(34) - sqrt(68)\/sqrt(2)*-3)) + sqrt(136)\/(2*sqrt(4)))\/((sqrt(6) + sqrt(486) + sqrt(6))\/sqrt(3)).\nAnswer: -5*sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**3 - 8*k**3 - 15*k**3 + 23*k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 (base 16) in base 6?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 1)\/(3\/(-9)). Suppose -u + 6*u = 5*g - 5, -u = -5*g + 5. Suppose s - 15 = -u*s. Solve 0 = -2*l - v*l + s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.3 + -5.06. Let u = n + 0.26. Let y be ((-4)\/5)\/((-2)\/(-10)). Sort y, 0, u in descending order.\nAnswer: u, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -107, -0.1, 2 in decreasing order.\nAnswer: 3, 2, -0.1, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (84\/(-20))\/((-3)\/120)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5)*y**(-3\/2))\/(y**8\/(y*y**(-7)\/y*y*y*y)))\/(y**(-1\/6)\/y**(-1\/3)*y**(-1\/3)\/y*(y\/(y\/(y**2\/y)))\/y*y*y) assuming y is positive.\nAnswer: y**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -7*n**4\/24 - n**2. Let q(x) = -x. What is y(q(b))?\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 2*o**2 + 3. Let g(l) = -l**2 + 9*l + 52. Let m be g(13). Let t be a(m). Solve -t*v + 2*v + 8 = 3*u, 0 = 4*u - 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + 2 + sqrt(19) + sqrt(76)\/sqrt(4)*-1)*5.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvp when three letters picked without replacement from {p: 7, v: 4}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22.4 + -75.6. Let w = -96 - g. Which is the closest to -2? (a) 2\/7 (b) w (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 21026436*s + 21026432.\nAnswer: 4*(s + 1)*(s + 5256608)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 1:31 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 4*j - 6. Let y be x(-5). Let f be ((-2)\/(-3))\/((-2)\/(-3)). Which is the nearest to f? (a) 2 (b) y (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18288, -36591, -54918, -73281, -91692, -110163?\n\"Answer: -2*m**3 - 18289*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2438*i - 591*i + 6058 = 0. Factor -3\/4 + 303\/4*z**i + 75*z.\nAnswer: 3*(z + 1)*(101*z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22196.9 - -22197. What is the third biggest value in -84, -2\/7, -0.3, 2\/7, r?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2865*a**2*v + 63794*a**2 + 96807534*a + v wrt a?\nAnswer: 5730*v + 127588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15a08a + 9?\nAnswer: 15a097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 10. Let c = -0.01 + 0.31. What is the smallest value in c, u, -1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + (-17 - -69) + 34 + -1?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 14*o = -0*o - 140 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -64738129 times -2\nAnswer: 129476258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3328 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**5\/60 - 5*o**4\/24 - 28*o**3\/3 + 29. Let w(n) be the third derivative of r(n). Give w(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/6*(-8 - (1 - 9)). Sort j, -51, -4 in descending order.\nAnswer: j, -4, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -2*p**3\/3 - 5*p**2\/2 + 2*p - 15. Let n(b) = -3*b**2 - 9*b + 4. Give -5*g(q) + 3*n(q).\nAnswer: q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 92*h**2 - 2*h + 1. Let p be o(2). Let f = -206 + p. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-108)\/(-405)*(-5)\/(-4). What is w in 1\/3*w - 1\/3 + h*w**2 - 1\/3*w**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((f**(-1\/25)\/f)\/f)\/f)\/f)\/f)\/f*(f*f**(3\/4)\/f*f)\/f)\/((f*f*f**9\/f)\/(f*f**(-15)\/f)) assuming f is positive.\nAnswer: f**(-3029\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -17*s**4 + 41*s**3 - 49*s**2 + 16*s. Let q(x) = 8*x**4 - 20*x**3 + 24*x**2 - 8*x. Let k(g) = 4*i(g) + 9*q(g). Find j, given that k(j) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1167 is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-51)\/(-21) - 3)*-7. Suppose -c*p + 6*p - 208 = 0. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305750 is divided by 294?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.5, 0.3, -769\/2 in ascending order.\nAnswer: -769\/2, -0.5, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**8\/v)\/v)\/(v*v**(-32))*(v*v\/v**(-1\/9))**2 assuming v is positive.\nAnswer: v**(371\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 0 + 9*y - 1\/6*y**4 - 2\/3*y**3 - 3\/2*y**2 + 1\/5*y**5. Is a(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47145 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -34077a5 (base 12) in base 2?\nAnswer: -100110000001001110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-13)*s)**3 assuming s is positive.\nAnswer: s**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 4*j**2 - 7*j - 28. Let v be n(6). Let z(p) = -p**2 - 1. Let a be z(-3). Let t = 14 + a. What is the nearest to 0.3 in v, t, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*v - 4891 = 3852, 5*s = v + 21815. What are the prime factors of s?\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**3 - d**2 - 46*d + 10. Determine h(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -115180 divided by -28795?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18698*d*h - 1472*d*m**2 - 7*h*m**2 + 5*h*m + 56*m**2 + 16*m wrt m.\nAnswer: -2944*d - 14*h + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*q - 935*q - 319*q - 417*q + 2*q**2 + 415*q - 773*q.\nAnswer: 2*q**2 - 1892*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - s + 424, 8*s = 19*s + 22. Solve -10*w - 122 = -n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 7:25 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/10*(-21)\/(-28)*(-260)\/117?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 301*y + 4. Let g(o) = 4815*o + 66. Calculate -2*g(b) + 33*u(b).\nAnswer: 303*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1049 is divided by 96?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75128996?\nAnswer: 2, 31, 605879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c - 17*c + 192 = 25*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n - 2 + 2 + 2*n + 3*n - 4*n + (-3 + 2 - 1)*(0 + 2*n + 0) + 0*n - n - n + 5*n + 2*n - 3*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 9*m + 110 = 5*j, 2*m = -4*j + 76. Which is smaller: j or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 5. Let o be p(-3). Let t be (10000*o)\/((-22)\/(-495)). Round t to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/1200 and -139\/73638600.\nAnswer: 147277200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 7*n**2 + 4*n - 1. Calculate f(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*p - 66 = -209*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 3*c**2 + 3*c**2)*(5*c - 8 + 8)*(-2 + 2 - 2).\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 5*p - 16. Suppose 2*q + 4*v - p = -2*q, 0 = -q + 3*v + 18. Solve 0 = 3*k, -12 = q*x - 2*x + 4*k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -322 in -3, -2, 0.1, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -5, 3\/4, 0.2, -16?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.9 + 14.1. What is the closest to 0 in -4, -0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57463221?\nAnswer: 3, 19154407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -90958139*h**3 - 3722010*h**2 - h - 4 wrt h.\nAnswer: -545748834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + (sqrt(300) - (4 + sqrt(300) + 0) - -6*(1 + sqrt(300)))*5) + 4.\nAnswer: 40 + 1200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 909*r**2. Let d(t) be the first derivative of 10*t**3\/3 + 7597. Give d(h(j)).\nAnswer: 8262810*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 2. Let n be ((-6)\/12)\/(1\/(-4)). Suppose -4 + 0 = n*v. Which is the nearest to v? (a) r (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 20*d + 40. Let f(l) = -3*l - 6. Let c(u) = -20*f(u) - 3*x(u). Let b(k) be the first derivative of 49*k**2\/2 - 1. What is b(c(a))?\nAnswer: -147*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/5 - 53668074*k\/5 - 720065541717369\/5.\nAnswer: -(k + 26834037)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1637584876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15610 and -1820.\nAnswer: 13790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22552 is divided by 5199?\nAnswer: 1756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 21 = 6*h, 382*h - 4*i - 36 = 378*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((117\/(-4))\/9)\/(10\/40)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 509948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 427327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/4 - 775522851*v\/4 - 193880712.\nAnswer: -3*(v + 1)*(v + 258507616)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/4*50\/25?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 0 + -8 + 7 + (11 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 - 20 = 10*h. Let y = 9 - 5. Suppose y*r - 3 - 4 = 5*q, -4*q + 19 = 5*r. Calculate the smallest common multiple of r and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - 4*u**2 + 2*u**3 - 2*u**3 - 4*u**2 + 4*u**2 + (u**2 + 5*u**2 - 4*u**2)*(1 - u - 1))*(1795 + 1792 - 3589 - 2752*u).\nAnswer: 5504*u**4 + 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 + 6*t + 8. Does 9 divide p(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2)*(-8*x**3 - 5*x**3 + 37*x**3) to the form q*x**3 + g*x**2 + k*x + f and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24876823 by -14191.\nAnswer: -1753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7391\/2 - -55342\/15. Let a = 3\/505 + -921\/2020. What is the common denominator of a and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 102 - 62. Solve -5*v = -3*d - 8, 0 = -3*v - 2*d + 3*d + y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-21)*(-7 + 1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + t - 286, 4*t + 1 + 7 = 0. What are the prime factors of 16\/s - 4569\/(-27)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21258, -21261, -21264?\n\"Answer: -3*x - 21255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.101 - 16848365.\nAnswer: -16848364.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**7\/420 - l**6\/720 + 3*l**5\/10 + l**3\/6 - 218*l**2. Let f(i) be the third derivative of y(i). Determine f(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 18*h + 20*h - 30 = 34*h, 5*n - 128 = -63*h for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c - 9. Let n(u) = 9*u + 19. Let s(f) = -13*l(f) - 6*n(f). Let a be (-6)\/21 - 400\/(-28). Let k(g) = 1 - 8 + 5*g + 0. Calculate a*s(z) + 6*k(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**7\/252 - b**6\/36 - b**5\/12 - 5*b**4\/36 - 5*b**3\/36 - b**2\/12 - 6*b. Let k(g) = 0. Calculate g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*h = 32*h + 187*h + 19342 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*n + 32 = -43*n. Suppose z - p = n, -3*p - 6 = -z - 4*p. Calculate the greatest common divisor of z and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide -1 + (-467)\/(-5) - 74\/185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)*-2)\/sqrt(7))\/(-2*sqrt(20) + sqrt(5)) + -2.\nAnswer: -2 + 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 370 = -150. Calculate the remainder when 226 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-4))\/(3\/(-4)). Suppose -r*j = 2*j - 16. Put 5, -2, j in descending order.\nAnswer: 5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7749106 rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 = -3. Let x(r) = 0*r + 3 + 0*r + g*r + 1. Let j = 1 - 4. Determine x(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rucrkukklmrmrrr. What is prob of picking 2 r, 1 u, and 1 m?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/4 (b) -9\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/2)\/((-9)\/(-12)). Let j be (0\/3 - p) + 156. Let h = -89 + j. Is 23 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139869 is divided by 46497.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19572929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 429*c**2 + 4*c**2 + 290*c**2 - 157*c**2 - 64*c + 354*c**2 + 7 wrt c.\nAnswer: 1840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2865300?\nAnswer: 2, 3, 5, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 + 3*g**3 - 5*g**3 + (1 - 1 + g)*(4*g**2 - 3*g**2 + 1 - 2) + (2*g + g**2 - 2*g)*(-g - 2*g + 4*g).\nAnswer: 3*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -672 - -673. What is the second smallest value in 95, 0.2, -0.1, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 338120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 822, 1439, 2052, 2661, 3266, 3867, 4464?\nAnswer: 5057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(543\/(-138) + 4). Let j = -24 - w. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 2*p = -18, 4*i + 4*p - 251 = -243 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -44. Let k = y - -7. Let m = k - -25.06. Round m to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21116*g**3 + 20558*g**2?\nAnswer: 126696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 246857*n**3 - n**2 - 215052*n.\nAnswer: 1481142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/q**(2\/7))\/q*q)*q*q**(-2\/9)*q)\/(q\/(q**(-2\/5)\/q))**(-26))**(-16\/7) assuming q is positive.\nAnswer: q**(-324896\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -3. Let k = 5 + j. Let d = k - 3.9. Put d, 2, -5 in descending order.\nAnswer: 2, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46451725 by -1858069.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + h + 7. Let v be f(-3). Let u(x) = 2*x - 19. Let m be u(v). Calculate the highest common divisor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339*q - 336*q - 5*a = -40, 5*q + 5*a - 40 = 0. Factor 3\/4*v**3 + q*v - 1\/4*v**4 - 1\/2*v**2 + 0.\nAnswer: -v**2*(v - 2)*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*t = -28, 2*s - 3*t + 5*t = 16. Solve -5*r + 5 = s*c - 2, -15 = 3*c - 3*r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 5*d - 5. Suppose -4*z + 48 = -4*c, z + 30 = -8*c + 3*c. What is the units digit of f(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.94 - 0.06. Let c = d - -2. Let y = -0.02 - 0.28. What is the second smallest value in -1, c, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x**3 + 2*x**3 - x**3)*(-7*x - 67*x + 36*x) as n*x + f*x**4 + y*x**2 + t*x**3 + w and give f.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) -0.5 (b) -0.8 (c) -3 (d) -0.3 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 302220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 4.87. Let i = q - -2.87. Is i < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 23 = 93*i. Which is the closest to i? (a) 28 (b) -0.3 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*s - 992 - 3112 = -104*s for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111\/(-210) - (19*3\/171)\/(15\/(-27)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1. Let o(i) = 19*i**2 - 5*i + 2. Let r(b) = 2*l(b) - o(b). Find the second derivative of r(s) wrt s.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2. Let j = 358 + 245. Suppose j - 63 = 15*r. Let h(a) = 26*a + r - 27*a - 26. Give f(h(p)).\nAnswer: -p**2 + 20*p - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 19. Is y < -9\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)*p*p**(3\/11))**(3\/41)\/((p**(3\/2)*p*p**(-1\/2))\/(p*p*p**(-2)*p**(4\/5)\/p)) assuming p is positive.\nAnswer: p**(-5411\/2255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) - (sqrt(176) + 0))*5 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 128194 equal to 128194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 11*h + 1. Let v be -2*(6\/(-4) + 0). Suppose 0 = -v*t + t - 2. Calculate w(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 518977762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**4\/6 - 5*l**3\/6 - 3*l**2 - 7. Let u(y) be the second derivative of p(y). What is the first derivative of u(i) wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.12 and 795197435740.\nAnswer: 795197435740.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4 - 52*u**3 - 3*u**2\/2 + 77*u\/2 + 13 = 0. What is u?\nAnswer: -1\/2, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1844436 and 223568?\nAnswer: 7377744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -3*o - 2*i, 0 = 4*o - 3*o + i - 32. Suppose -o = -v + 5*v - 5*w, 11 = -v + 3*w. Sort v, -4, 3 in decreasing order.\nAnswer: 3, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1413, -1414, -1415, -1416, -1417?\n\"Answer: -x - 1412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1641662?\nAnswer: 2, 11, 71, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2. Let z(d) = 2025*d**2. Give i(z(w)).\nAnswer: -4100625*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11055 and 26015?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i. Let f(g) = -27*g - 6. Let k(x) = 11*x + 2. Let u(t) = f(t) + 3*k(t). Calculate -16*n(h) + 3*u(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 105*r + 2159. Is l(44) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12334*n**4 - n**3 - 364*n**2 - 16 wrt n.\nAnswer: 296016*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7914 divided by -1?\nAnswer: 7914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**4 + z - z)*(-41*z - 44*z + 86*z - 3) - z**5 + 2*z**5 + 4*z**5 + (-z**4 + 2*z**4 + z**4)*(-2*z - 3*z + 4*z) - z**5 - z**5 + 3*z**5.\nAnswer: 3*z**5 + 3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, h: 2, v: 1}. What is prob of picking 1 v, 1 c, and 2 h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i**2*l + i**2 - 286*i*l - 15*i + 130399*l wrt i.\nAnswer: 6*i*l + 2*i - 286*l - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**3 - 2*i**3 - 1 - 2*i**3.\nAnswer: -2*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = -2*o - d, 4*o + 3*d = 6. Let r be 11 + 9\/(-3) + 1. Let t = r + o. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -11\/71, -0.06, 2, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**4\/4 - 8*d**3\/3 + d**2\/2 - 8*d - 16. Let f = 20 - 18. Suppose 0 = -5*v - k + 42, -v + f = -2*v + 5*k. Give a(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.88758us to milliseconds.\nAnswer: 0.07888758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89639.1 rounded to the nearest 100?\nAnswer: 89600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -5 + -1 + (-5 - -18 - 8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*r + 27 = 3, 2*r = -10. Let m(b) = -u*b + 2*b + 0*b + 5*b. Let d(c) = -5*c. Calculate d(m(w)).\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 221?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -649 less than -649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -f + 2*a - 6, 0 = 5*f + 5*a - 45. Let t be 15\/(1 - -2) + f. Suppose -4500000 = -8*x + t*x. Round x to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*l = -112*l + 5400. Suppose -39*n = -9*n - l. Determine t so that -3\/2*t**n + 3*t**2 + 0 - 3\/2*t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1962, 1966, 1982, 2016, 2074, 2162, 2286, 2452?\nAnswer: 2666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -1\/2, -11.1?\nAnswer: -11.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 40 = 4*t. Let w be 1 - (-1)\/((-1)\/(-2)). Solve -t = -5*g + n, 7 = -2*g - w*n - 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 2:13 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 0, -6, -1, -423, -3 in descending order.\nAnswer: 0, -1, -2, -3, -5, -6, -423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(5*(-2)\/(-50)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -417, -615, -823, -1047, -1293, -1567?\nAnswer: -1875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzh when three letters picked without replacement from {h: 12, z: 7}?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d + 1505 = 33*d. Let v(c) = c**2 - c + 54. What is the remainder when d is divided by v(0)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 173651636 and -673.3?\nAnswer: 173652309.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - ((-50)\/5 - -3). Solve -5*p = 3*n + 14, -d = -3*n - p + 2*p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -162*x*y**2 - 2*x + 2*y**2 + 477 wrt x.\nAnswer: -162*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*x = r + 4, x - 2 = 2*r. Let 0 + 2\/5*j - j**x + 4\/5*j**3 - 1\/5*j**4 = 0. What is j?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 + -2?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 509990519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194058324?\nAnswer: 2, 3, 19, 61, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(6\/7)*k)\/(k*k**(6\/11)))\/(k**(-2)\/k*k*k*k\/k**(-1\/6)) assuming k is positive.\nAnswer: k**(529\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1309119 and 3876?\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-5) - (-1886)\/(-2645)) + 378\/(-644)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 195643 and 126?\nAnswer: 3521574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-22)\/p*p*p)\/(p*p**(-19))*(p**(-3)\/p)**(-7\/6) assuming p is positive.\nAnswer: p**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**7\/21 - 47*q**5\/20 + 295*q**3\/3 - 193*q + 1. What is the second derivative of f(n) wrt n?\nAnswer: -40*n**3 - 282*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8315546 to the power of 1\/2, to the nearest integer?\nAnswer: 2884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**5\/20 - y**4\/12 + y**3\/3 + y**2 + 4*y. Suppose 3*g + 6 = -0*g. What is the units digit of m(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 + 15*d - 3. Let w be t(7). Suppose 3*y + 2 = -w*j - 1, 4*j + 6 = -2*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/(-54))\/(((-99)\/12)\/(-1)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**5\/60 - d**4\/24 - d**3\/6 + 4*d**2. Let r(p) = -12*p**2 + 4*p + 15. Let m(t) = -r(t) - 4*w(t). Differentiate m(f) wrt f.\nAnswer: 32*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from iikgrgkkoeoog?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(84) - sqrt(84)*-2)*-5)\/(((-2*sqrt(144) - sqrt(144))*-1)\/sqrt(12)).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c - 336 + 280 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/384 and 77\/48?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 195797 or 195805?\nAnswer: 195797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 101211212310?\nAnswer: -101211212233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*105\/(-84))\/(9\/(-2))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (2 - 3)*-57. Let c = m - 12. List the prime factors of -1*4*(-451)\/c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 78350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 43 = 3*o, 0 = 19*o - 14*o - 5 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -0.2999936. Let l = 17 - 17. Let s = l + k. Round s to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b - 2540 + 2508 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5477, 22677, 51345, 91481, 143085, 206157, 280697?\nAnswer: 366705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/98 and -21\/8?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.187 + -7.2. Let t = 12.1992 - -0.7878. Let h = t - b. Which is greater: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, y: 1, m: 2, p: 1, b: 2, v: 1}. What is prob of picking 1 p and 1 y?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 25b5 (base 15) to base 8\nAnswer: 17555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 66*m - 522 - 276 = 0 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 1:50 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*n + 118, 3*l - 217 = 181*n - 186*n. Calculate the highest common divisor of 47 and n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1014*q**2 + 64*q + 127. List the prime factors of o(-2).\nAnswer: 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(18)\/(sqrt(144)*-2 - sqrt(9)) - (sqrt(800)*1 + -2))**2.\nAnswer: -236*sqrt(2)\/3 + 6998\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/5814 and -67\/26441103?\nAnswer: 158646618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + f + 1 = 10, -5*f + 5 = 5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-37 + 35)*35\/(-2). Suppose 226 = -3*v + 1. Let h be -2 - v\/s - (-26)\/14. Solve 0 = 4*i - 4*n - 16, -h*i + 3*n = -5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven eighths of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooooooo. Give prob of picking 4 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (22 - (21 + 2 + 13)) + 6 + 111\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-200)\/(-240))\/((20\/6)\/(-2))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -74373580, -148747116, -223120642, -297494152, -371867640?\n\"Answer: u**3 - u**2 - 74373540*u - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g = -89 + 65 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 2*n**2 - n - 1. Let f(j) = -j + 8. Let t be f(-5). Let p = -16 + t. What is k(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, p: 4, e: 1, k: 3, m: 3, s: 2}. What is prob of picking 1 e and 1 h?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.9 (b) 2 (c) 192 (d) 2.2 (e) 4 (f) -5 (g) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*y**2 + 45 - 91\/2*y.\nAnswer: (y - 90)*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -217 (b) -9 (c) 3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from {b: 14, v: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 5) in base 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -7. Let n = -4 - b. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 67. Let w = 65 + z. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 - -1.5. Let w be (-3)\/4*170\/102. What is the fourth smallest value in -0.2, s, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b = 0. Let z(m) = 2*m**2 + 2*m - 5. Let l be z(3). Solve -4*i - l + 7 = b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 21. Let t = k + 26. What is c in c**4 + 4*c**2 + 28*c - t*c**4 - 28*c = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s + 12. Let z be j(7). Let h be (z\/96)\/(10\/(-3139485)). Let f = h - 6538. Find the common denominator of f and -31\/9.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4520.7 - -4600.7. Sort 0.3, -3.4, -0.2, j.\nAnswer: -3.4, -0.2, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198246?\nAnswer: 2, 3, 19, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h + 2. Suppose h*o = -4 + 24. Solve 0*m + o = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/103, 0.4, 1, -1431?\nAnswer: -1431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -170, 89, 428 in decreasing order.\nAnswer: 428, 89, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 0*u**2 + 0*u + 54 + 16\/3*u**3. Let c(g) = 6*g**2. Give o(c(j)).\nAnswer: 576*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 6:16 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -5*w + 80. Suppose 5*j - c = 48, -j - 4*c + w = 3*j. What is the units digit of -1 - (-5)\/(j\/16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 40 = -4*g, -816*h + 0*g + 3*g - 74 = -811*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18370 and 6400442.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 487*17.97.\nAnswer: 8751.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57356455?\nAnswer: 5, 13, 691, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -18525*z + 7. Is n(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2688) - sqrt(2688)*2 - sqrt(2688))\/(1*sqrt(6)*-3 + sqrt(6)))**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z - 66. Let s be v(35). Solve 0 = h - 4, -s*h + 8 = -4*x - h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 180, 306, 438?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188932*c - 188921*c = 187 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 22. Give g(11).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrrrrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p**2 + 20 - 21 + 3*p**2)*(3*p - 21 - 2*p + 20)*(8 - 2 + 3) in the form v*p + n*p**3 + x*p**2 + j and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/75 and -2\/265.\nAnswer: 3975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**6\/120 - p**5\/60 - p**4\/24 + p**3\/6 - 9*p**2. Find z such that m(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d27ee (base 16) in base 6?\nAnswer: -30251342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-33)\/30)*(-11)\/55?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-105)*-19)\/(24\/(-20)).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*((-3714)\/9904)\/((-1)\/(-736))\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1795?\nAnswer: 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6112*i**3 - 4*i**2 + 5*i - 7. Let z be f(3). Suppose -3*c - 137184 - 27818 = -l, 0 = 3*c + 2*l + z. What is c rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 137 - 143. What is the second biggest value in 0.8, j, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96528 is divided by 137.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnnsggssssnnssssnn. Give prob of picking 4 n.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*f**2 + 21*f**2 - 10*f**2 + (2*f - 3*f + 0*f)*(3*f + f - 3*f))*(1 - f**2 - 1).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-105)\/(-18) + (-1)\/(-6). Suppose w*a - 191 = 31. Suppose -3*i + a = 2*x, -5*x + 117 = 4*i + 28. Calculate the remainder when x is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54.7 - -56. What is the second biggest value in a, 0, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 17*r**2 + 77*r - 1029. What is u(5)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-103 - -30 - -127) + (-21)\/4 + (-1)\/(-4)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 398978 to the nearest one thousand.\nAnswer: 399000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 102541860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 0*v**4 + 0*v**3 - 1\/2*v**2 - v + 0 - 3\/20*v**5. Suppose 0 = -5*s + 5*p - 10, -2*s - 4 = -p - 3. Calculate b(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 83. Suppose 28 = 5*m + 3*b, -b = 3*m + 5 - 21. Suppose 0 = 4*f + 6*x - m*x + 62, 2*x - 20 = f. What are the prime factors of u(f)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37.62 - 34.4. Let r = s + -0.22. Let f = r - 3.4. Which is the second smallest value? (a) 2 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 10, -g - 4*m = 3*g - 28. Suppose -738 = -g*l - 76. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) + (sqrt(1584) + sqrt(1584)*-2 - sqrt(1584)) + (sqrt(22)\/sqrt(2)*3)**2.\nAnswer: -12*sqrt(11) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 508920 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 3, 12, 14 in increasing order.\nAnswer: -4, 3, 5, 12, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 10:08 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 2407*d + 2411*d + 52 = 0, d + 39 = 3*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27\/8092 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*i + 24. What is the lowest common multiple of (-9 + 8)\/((-2)\/i) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1528841835?\nAnswer: 3, 5, 823, 41281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1022100 + -10031?\nAnswer: 1012003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43413, 43403, 43393, 43383?\nAnswer: 43373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -444*n**2*o**2*w**2 + 2*n**2*o*w**3 - 4569*n**2*w**3 + 2*o**2*w**3 wrt o.\nAnswer: -888*n**2*w**2 + 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 + (-665)\/45 - 4\/18. Is (-629)\/(-5) - k\/(275\/(-44)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6339178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9006 is divided by 117.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**3 + 11*x**2 + x - 18. Let l(s) = -2*s**2 + s - 1. Let u(f) = -c(f) + 2*l(f). What is the tens digit of u(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((4 + -1*sqrt(11))*-4 + -5)*-6.\nAnswer: -126 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)\/((u*u**(-22))\/u))\/(u**(-21))**(-25) assuming u is positive.\nAnswer: u**(-511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -1\/23?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(17) + sqrt(17)*-1 + 2 + (sqrt(85)\/sqrt(45))**2 - ((sqrt(2057) + 0 + sqrt(2057) + sqrt(17) - sqrt(17))**2 - ((sqrt(102)\/sqrt(2))\/sqrt(3))**2)).\nAnswer: 73864\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*x - 603745 + 2506945 = 0. What is the highest common divisor of x and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 31296281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130875 and 40639305.\nAnswer: 5235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + h. Let b(k) = 6*k**2 + 4*k. Let j(m) = -25*m**2 - 123*m + 7. Let o be j(-5). What is o*p(y) + b(y)?\nAnswer: 3*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.4786986 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/(-8)*(-12)\/18. Let a(h) be the first derivative of -h**2 + 1 - 1\/3*h**3 - h + v*h**4. Determine a(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q - 4*q - 4*q - 3953*q**3 + 3948*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q - 2*q - 2*q + 2 - 2 - q + (q - 3*q - 2*q)*(2 + 3 - 3))*(-2*q - q + 9*q).\nAnswer: -42*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1064*t = 1445434 - 1337970 for t.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffffff. Give prob of sequence fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 49*l**2 + 7*l + 357. Calculate z(-49).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 263343 divided by -6423?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30088999?\nAnswer: 199, 151201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1343ab49 - 2?\nAnswer: -1343ab4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a decade in months?\nAnswer: 2460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 11) to base 4\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 1\/5, -184, -1317?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365412 + i - 730828 + 365416.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2106 + 0*z - 2107 + 341*z.\nAnswer: 341*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35 or 34?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 + -24. Let q = 105 + h. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**6\/45 - b**4\/2 + b**3\/3 - 11*b**2. Let w(s) be the first derivative of x(s). Differentiate w(v) wrt v.\nAnswer: 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336899 rounded to the nearest one thousand?\nAnswer: 337000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**5 + 56*q**4 + 248*q**3 + 428*q**2 + 326*q + 92.\nAnswer: 2*(q + 1)**3*(q + 2)*(q + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -4, 5 in increasing order.\nAnswer: -5, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-273)\/1183 + (-107)\/(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6851530*s - 9737518 wrt s.\nAnswer: -6851530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 12 = 2*v. What is the highest common divisor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 2.492\nAnswer: 0.4984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2985387*k*m**3 + 2*k*m**2*z**3 - 7*k*z**3 + 91*k*z - 2*k - 32*z + 2 wrt m.\nAnswer: -8956161*k*m**2 + 4*k*m*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*u - 55 = 0, 3*y - 2*u - 35 = 50. Let b = y + -15. Is (-20)\/(0 + b\/(-5)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from oovevvvvogvv?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19358956 is divided by 20906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2288 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 9*r = 36 - 6 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74685530, 74685529, 74685528, 74685527, 74685526, 74685525?\nAnswer: 74685524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 17 - 36 = 62*r - 6*r - 85, -4*h = 3*r + 64 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Let v(j) = j**3 - 3*j**2 + 2*j - 2. Let k be v(5). Let t = k - 293\/5. Which is smaller: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, -3, 12 in ascending order.\nAnswer: -3, 3, 12, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/6 + -1 + (-3530206)\/(-177).\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-33)*(-39 - -36)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7*(5 + -9 + 58\/7). Calculate the common denominator of (-250)\/(-306)*(-45)\/o and -62\/21.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 10*n - 12. Let c be r(8). Suppose 0 = 4*v - 8*v - 5*h + 12, 2*v = -2*h + c. Let t(y) = -21*y**3 + 4*y**2 + 4*y + 2. Is t(v) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*h + 22025 = 0, -5*q - 67475 - 42735 = -8*h. Let o = q - -45716. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**4\/7 - 137052*q**3\/7 - 24216432*q**2\/7 - 1427947972*q\/7 - 28074898542\/7 = 0?\nAnswer: -68349, -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -59.8561 and 0?\nAnswer: 59.8561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 112658941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 + 7*y + 5. Suppose 3*g - 1 = -13. List the prime factors of u(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 795\/(-630) + (-12)\/(-9).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -545*v + 570*v = 150 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(12) + (sqrt(300) - sqrt(300)*-1) + sqrt(300))\/(sqrt(4) + sqrt(16)\/(sqrt(4) - sqrt(36) - sqrt(4)) - sqrt(4)) + -3)**2.\nAnswer: 576*sqrt(3) + 13842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 951 divide 4114070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a year in months?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 9) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q - 47*q = -24*q - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 5 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*z - p - 782, -4*p = 4*z + 788. Let o = -192 - z. Solve -2*y - 3*a + o = 0, 0*y - y + 3*a = -1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i**3 - 16*i**2 - 11*i - 6. Let f be (-1)\/(-3) - 57\/9. Let h(g) = 10*g**3 + 31*g**2 + 21*g + 11. Let n(p) = f*h(p) - 11*q(p). Factor n(c).\nAnswer: -5*c*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98081, 98080, 98079, 98078?\nAnswer: 98077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 0 + 0 + (2*l + 6*l - 5*l)*(3*l + 1 - 1) - 2*l + 4*l**2 + 2*l.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35716390?\nAnswer: 2, 5, 19, 317, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -451 divided by 95813.\nAnswer: -451\/95813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 2691716*w**2 - 5383426*w - 2691712.\nAnswer: -2*(w + 1)**2*(w + 1345856)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -29. Let d = -5 - s. Suppose 6*q - q - 24 = -d*z, 0 = 5*z - 2*q - 40. Solve -z*i = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 + 1020*g + 1025.\nAnswer: -5*(g - 205)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 800 and 80100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -1602?\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 2)*(-r + 6*r - 4*r)*(8 - 6 - 9)*(-3 + 4 + 3) to the form a + g*r and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -7\/24*t**4 - 5*t**2 + 0*t + 0 + 0*t**3. Let l(z) = -2*z. What is l(q(g))?\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*z + 66 = -724 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*z + 9*n - 32 = -291*z + 3*n, -2*z - 5*n + 38 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 500 (c) 5 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 62. Suppose 0*y + p = -5*y. Suppose 0 = -2*c + c + 5*t + 8, 4*t + 12 = -2*c. Sort 1, y, c in increasing order.\nAnswer: y, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 9*c - 11. Let h be r(7). Suppose -5*n = -9 - 1. Suppose h*y + w - 112 = 0, -5*y - 3*w = n*w - 180. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2443089 = 44*c - 132*c - 16225. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - u + 16 + 7, 2*u = 2*o + 28 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 6 + 3 + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*t**3 + 1 - 11*t**3 - 1.\nAnswer: 77*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 2 - 5 = 2*u, s - 3 = 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -41285 rounded to the nearest one thousand?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541547 is divided by 318.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190624 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3235728919?\nAnswer: 7177, 450847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + z**2 + z - 6. Suppose -3*j = 4*j. Calculate s(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -a. Let k(s) = s**2 - 12*s + 5. Let m be k(a). Suppose b = -4*b + m. Which is smaller: 3\/5 or b?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 1:49 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 8*j - 6. Let i be x(-6). Let a = i - 54. 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: What is the next term in -10, -34, -56, -76, -94?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/51? (a) 5 (b) 0 (c) -1\/11 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -21 - -26 - (-1 - -3) - 9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 15*u**2 + 3*u - 20. Give p(-15).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 15*v + 4. Is v != 1\/216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-33) - 57\/11. Which is the second smallest value? (a) -2 (b) 0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 5*o - 1. Let y be j(-6). Which is the second smallest value? (a) -1 (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -0.5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -29926000 rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -459 - -462. Let r be -2 + ((-25)\/85*-20)\/l. Put r, -3, -2 in descending order.\nAnswer: r, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - j - 64 = j, -62 = -4*g - 2*j. Suppose 729 = g*o - 2727. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 426*o + 1. Let t be c(2). Let d = -1693 + t. Let i be (-3000)\/(3\/d*2). What is i rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from rddhdhrddhh?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5*h + 12012, 445*k - 447*k + 5996 = 5*h. What are the prime factors of k?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -134 + 189. What is the remainder when j is divided by 49?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 197 and 6732.\nAnswer: 1326204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -104 + -1 + 125 + -138 + 3 + 3 + 15.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-10)*(30\/25 - 1)*(-175)\/(-441)\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27546537\/81252980 + -1\/396356. Let u = n + -5\/82. Which is the nearest to 0.9? (a) u (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27991 + (-1 - 2) - -2. Suppose k = v - 0*r + 5*r, 111990 = 4*v + 5*r. What is v rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*l + 24, -2*l + 4*n = -0*n - 20. Suppose l*z + z = 36. Let t = z + -8. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**3\/3 - 323*i**2 - 61893*i + 24905849\/3 = 0.\nAnswer: -529, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25148 is divided by 1041.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 2, 10, -0.2 in increasing order.\nAnswer: -7, -4, -0.2, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*2*((-150)\/15)\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 17*a**2 - 15*a - 15. Let s be y(-17). Let f = s + -231. Solve -f*v + 4*v = 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*h - 36, q - 1 - 11 = -2*h. Suppose 4*x - 27 = -z, 55 = h*x - 2*z + 13. Suppose -338 + 1018 = x*b. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -176 or -27737\/157?\nAnswer: -27737\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -997 or 1\/3?\nAnswer: -997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 1:54 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**4 - 2*p**2 + p - 6. Let h(a) = 6*a**4 + 2368*a**3 + 700920*a**2 + 4*a - 24. Let m(i) = 4*g(i) - h(i). Factor m(r).\nAnswer: -2*r**2*(r + 592)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Is (-345)\/(-27) + i\/9 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.14048kg to grams.\nAnswer: 31140.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 + 77. Let q(f) = 5*f - 1. Let h(r) = -6*r - 1. Let a(i) = h(i) + 2*q(i). Determine a(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 13*t - 20. Let x be m(-11). Let z(f) be the first derivative of f**4 - 2*f**3\/3 + f**2\/2 - 3*f + 8. What is the tens digit of z(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 - 3*j**2 + 5*j**2 + (j + j + 0*j)*(-j + 5*j - 2*j) + 4*j**2 + 0*j**2 - 3*j**2 - j**2 - 2*j**2 + j**2 + (-2*j + 0*j + 0*j)*(31*j - 31 + 31).\nAnswer: -57*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 2*m**5\/15 + 19*m**4\/12 + 27*m**2. Find the second derivative of c(j) wrt j.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -52, 7, -3, 4 in decreasing order.\nAnswer: 7, 4, -3, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 40302.\nAnswer: 1\/40302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.2, 285 in ascending order.\nAnswer: -2, -0.2, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3422541826.\nAnswer: 2, 11, 743, 209381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1808443238 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/599544 and -47\/7.\nAnswer: 4196808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d**2 + 6*d. Let m(o) = -o**3 + 3*o**2 + 7*o - 6. Let z be m(4). Let w(y) = -12*y**2 + 17*y. What is z*w(v) - 17*f(v)?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**3\/3 + 117758546*c**2\/3 + 1733384335624990*c\/3 - 1733384453383538\/3 = 0.\nAnswer: -29439637, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -41*r**3 + 4. Let c(j) = 41*j**3 - 5. Give -4*c(d) - 5*l(d).\nAnswer: 41*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40000 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 3*q**2 - q - 1. Let h be s(3). Let l = -1 - h. Suppose 2*u + 5 = -l. Sort 4, u, -5 in descending order.\nAnswer: 4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 27*z**2 + 26*z + 56. Let m be j(28). Which is smaller: m or 3\/112?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0125 in 30, 1, 3, 0.5, -0.074?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-3)*6\/(-4). Let o = -3350 + 3356. Which is the second biggest value? (a) t (b) -5 (c) 7 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*((-5*sqrt(128)*-1)\/((1*sqrt(48))\/sqrt(12)) + 1))**2.\nAnswer: 1000*sqrt(2) + 20020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506664323.\nAnswer: 11, 46060393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.51487 - 0.01487. Which is the second smallest value? (a) -0.1 (b) 0 (c) x (d) 3\/34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 7*h**6\/360 + h**5\/40 - h**4\/6 + 2*h. Let l(n) be the third derivative of s(n). Is l(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/39, -1, 207, 25 in descending order.\nAnswer: 207, 25, -1\/39, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 - 35*v**3 - 13*v**4 - 2 + 9*v**4 + 2 as t*v**2 + x + i*v**4 + j*v**3 + l*v and give j.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 96, 0.2, 0.07, -0.065?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -2046\nAnswer: -1\/1023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -0*q + 5*q + 5*i, 0 = -i - 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/15 + 1417928*g\/15 + 567176.\nAnswer: -2*(g - 708970)*(g + 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24, 3, -0.3, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2155 + -1503. Suppose 2*m + 10 = 4*m - 5*q, q = -4*m - 2. Suppose m = 6*t - f + 46. List the prime factors of t.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 0 + 2 + 1 - 8 - m. Let s be o(-7). Suppose s*b - 3 = 31. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85*y**3 - 200*y**3 - 1143*y**3)*(-2 + 7 - 3).\nAnswer: -2856*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3384 + 10*k**2 - 3390 + 6774.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.7 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3208764866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -739*n**2 - 842083 - 1419*n**2 + 842083.\nAnswer: -2158*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(11\/4)\/((x\/(x*((x**10\/x)\/x)\/x))\/x))\/(x**1)**(3\/26) assuming x is positive.\nAnswer: x**(553\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 3*p. Let y be u(3). Let o(z) be the second derivative of -1\/39*z**3 + y*z**4 + 0 + z + 1\/130*z**5 + 0*z**2. Find n, given that o(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -9*p**4\/4 - 1864*p**3 - 1242*p**2 + 2327*p. Determine i so that s(i) = 0.\nAnswer: -414, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -0.12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - t - 1. Let l be (-2)\/(-10) - (12\/10 + -1). Suppose l = 3*u + 9, -5*u - 15 = -10*x + 12*x. What is a(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 13*w**2 - 11*w + 2. Let t(a) = -8 + 1276*a - 1282*a + 7*a**2 + 9. Let y(p) = 6*l(p) - 11*t(p). Let h be 0 + (-2 - -4 - 6). Give y(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptttttppptptppptttp. What is prob of picking 2 t?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*j**3 + 4012589*j**2 + 1752*j - 26314?\nAnswer: -264*j + 8025178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -50c (base 15) in base 8?\nAnswer: -2161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j, j - 1 - 2 = -a. Solve a*i = 8 - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 133\/58, -2, -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3705 and 120365?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-7)\/(21\/(-6)))\/(390\/(-39)). What is the fourth smallest value in -3\/4, -2\/9, l, 0.5, -589?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3\/7 - 3797270*p**2\/7 - 11391792*p\/7 = 0 for p.\nAnswer: -1898632, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l**2 - 70*l + 13. Let b be c(10). Solve -19*m - b*m = -128 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k, u - 5*u + u + 4*k = 0. Let y be (12\/16)\/((-2)\/(-8)). Suppose -8*o + y*o + 1005 = u. List the prime factors of o.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(242) + sqrt(242) + sqrt(242) + sqrt(242) + 1*sqrt(242)) + 3)*3 + 5.\nAnswer: 3*sqrt(19)\/55 + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 1:04 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -845 + 3426 - 893 - 3*d**2 - 840 + d**2 - 848.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -1, 0, 236?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a - 7508 = 18232. Calculate the greatest common factor of a and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, r: 1, c: 2, f: 2, k: 1}. Give prob of sequence ffrc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*t + 8. Let o(j) be the first derivative of -j**3 - 2*j**2 + 10*j**t - 2*j**3 - 6 - j**3. What is the second derivative of o(y) wrt y?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (106 - (-4)\/4)\/10 and 101\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z**3 - 6*z**2 + 4*z + 6. Let y be b(-5). Suppose -2*r = 3*w - 280, -4*r - 26 + y = -w. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 7*u - 249. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 y when two letters picked without replacement from {y: 1, i: 4, w: 3, q: 4, e: 4}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/2*(-140)\/50. Suppose -2*b + 2*d + 27 = y*d, 3*b - 2*d = -7. What is the least common multiple of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1496 is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**3 + 17*a**3 - 1 - 3*a**2 + 4*a**2. Suppose v + 3 + 4 = 4*j, -4*v = 5*j + 7. List the prime factors of y(j).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 7*j + 15. Let q(m) = m - 11. Let d(a) = -12. Determine j*q(o) - 2*d(o).\nAnswer: 3*o - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38059150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1035 + 3270*l + l**4 - 6542*l - 3*l**4 + 3270*l + 31*l**3 with respect to l.\nAnswer: -8*l**3 + 93*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6021844 (base 10) in base 4?\nAnswer: 112332023110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -226.385 - -226.34. Which is the nearest to 2? (a) 3\/11 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 3, 4, 115, 105 in decreasing order.\nAnswer: 115, 105, 5, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -424, -784, -1144, -1504, -1864, -2224?\nAnswer: -2584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 66\/33*430\/4. Suppose -t + 86 = -i. What is the highest common factor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 5*m**2 - m - 6. Give a(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 b when three letters picked without replacement from {z: 2, b: 10, e: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -151 + 155. Solve -7*a - m*a = -7*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -18*s**2 + 3*s - 5. Let x(t) = -119*t**2 + 29*t - 148. Let v(y) = 17*y**2 - 4*y + 20. Let z(b) = -15*v(b) - 2*x(b). What is 5*w(h) - 6*z(h)?\nAnswer: 12*h**2 + 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4135, 11, -10 in ascending order.\nAnswer: -4135, -10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 5\/2 (c) -3 (d) -0.2 (e) -1\/26 (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -0.057 (c) -1.6 (d) 3 (e) -0.4 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 - 68.6. Which is the closest to 1? (a) p (b) 3 (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2042967.88 to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 127, 190?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2458933847.\nAnswer: 83, 5237, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60282\/11 - 5485. What is the common denominator of (200\/66)\/((56\/21)\/(-4)) and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.97 take away 3.96?\nAnswer: 12.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 75490*j - 5849. Is m(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 15) + 2 + -2 + -4 - 21.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14578790, 29157613, 43736436, 58315259?\n\"Answer: 14578823*w - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c**(-1\/2)*c)\/c))**27\/(((c**4*c)\/c)\/(c\/(c*c**(-2)))) assuming c is positive.\nAnswer: c**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2290 + -2344. Is -62 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*t = -189 + 643 + 351 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -1. Suppose 9 = i*v - 99. Suppose -3*q = q - v. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-3))\/((-1)\/(-2)). Let p be 295\/(-15) + m\/6. Let t = p - -22. What is the greatest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60504553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/((50\/15)\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157886?\nAnswer: 2, 89, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3673189141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7336\/6288*3\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 1. Let p(x) be the second derivative of -2*x**3 + 3*x**2\/2 - 2*x + 283. What is -p(m) - 4*y(m)?\nAnswer: 16*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2174556080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-7)*2\/(6 + 0). Suppose 4*z = -2*m - 3*m + 195, -3*z - 4*m = -147. Let a be (-6)\/(-27) + (-16)\/z. Put x, a, -0.3 in descending order.\nAnswer: x, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 540 divide 1694520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6591 and 26.\nAnswer: 13182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 11 + q**3 - 421*q + 6*q**2 + 4*q**2 + 411*q. Let t be m(-11). Solve 0 = -t*u + 2*u + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -83*p**3 + p**2 - 1. What is the units digit of v(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 35. Let t = -21.5 + u. What is the second smallest value in -3, 0.5, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 22 - 2*w**2 + 4*w**2 + 18.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 17 + 71 = 0. Calculate the lowest common multiple of v and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v. Let i(w) = 6*w + 117. Give i(z) + y(z).\nAnswer: 5*z + 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**2 + 188*b - 9327. Let u(r) = -11*r**2. Give u(s(q)).\nAnswer: -44*q**2 + 8272*q - 388784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**6 - h**5 - h**2 - h. Let w(y) = -10*y**6 + 6*y**5 - 8*y**2 + 6*y. Let z(c) = -6*t(c) - w(c). Find the third derivative of z(x) wrt x.\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.92068ng in tonnes?\nAnswer: 0.00000000000007292068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -22*c + 23*c. List the prime factors of c.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + (-1*(1 + sqrt(128))*-6 - (((sqrt(128)*2)**2 + 2 - sqrt(128)) + 2)).\nAnswer: -517 + 56*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1269 + 574. Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 762163.\nAnswer: 37, 20599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57576961.\nAnswer: 13, 109, 179, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.67 + -0.17. Which is the closest to 1? (a) n (b) 1 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*c**3 + 3*c**4 + 2*c**4 + 12*c**2 - 24*c**2 - c**4 + 14*c**3 = 0. Calculate c.\nAnswer: -6, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121991?\nAnswer: 43, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 757823 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1199.\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -5*r - 4*x - 15, 0 = r + x + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1945752496?\nAnswer: 2, 157, 774583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 + 32231?\nAnswer: 32320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 t, and 1 i when four letters picked without replacement from {s: 5, i: 4, t: 1, f: 5}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-38)\/285 - 844\/(-30). Let t = -28 + r. Is (13 - 28)*(t - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 - -55. Suppose -5*h - 3*p = -8, -3*h - 8 = t*p + 3*p. Solve 0 = -8*z + 4*z + h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 1990*r + 4. Let p(y) = -980*y - 2. Calculate 2*d(s) + 5*p(s).\nAnswer: -920*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 14*w**2 + 23*w + 6. Determine s(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 2. Let d be q(0). Let s(b) = -b + 4. Let r(y) = -2*y + 9. Calculate d*r(u) - 5*s(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*w**4 - 1660*w**3 + 3650*w**2 - 2140*w + 195 = 0. Calculate w.\nAnswer: -39, 1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g - g**2 + 7 + 4 - 2*g**2 + 6*g**2. Let f(v) = 7*v**2 + 7*v + 23. Let n(y) = 6*f(y) - 15*u(y). Solve n(a) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38143, 38166, 38185, 38200, 38211, 38218?\nAnswer: 38221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 77*r**3 + 135*r**2 + 66*r + 8 = 0.\nAnswer: -1, -4\/7, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1025.58164 + -1.81164. Round d to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -1.9, 0, 5, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 2*u - 144. Suppose 41*n = u*n - 777. What are the prime factors of n?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 * 0.41\nAnswer: 0.0369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 5*j**2 + 7*j + 4. Calculate m(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 197 - 182. What is the smallest common multiple of 5 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5190417467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -375 at most 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001788443814 rounded to 7 decimal places?\nAnswer: 0.0017884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 27. Let q(i) = i - 5. Let v(x) = -5*x + 26. What is a*q(l) + 2*v(l)?\nAnswer: l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 285 = 54*h. Let l(k) = -6*k + 32. Give l(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 1025.74661?\nAnswer: -1027.74661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 5*p**4\/12 + 5*p**3\/3 + 50*p. Factor f(c).\nAnswer: 5*c*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -220.9 (b) -12 (c) -1\/6 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -c. Let c*k + 4*k**2 + 4*k - 2*k**2 = 0. What is k?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**3\/((o**(2\/5)*o)\/o*o)*o**6\/o**(-4)*(o**(-2\/7)*o)**(2\/103)\/((o\/(((o**(2\/3)*o)\/o)\/o))\/o**(4\/5)) assuming o is positive.\nAnswer: o**(119836\/10815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13609 and 2594929?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 93971 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 576 + -292. Does 26 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -58*(-4)\/48 - 14\/(-84). Put l, -3, 209 in descending order.\nAnswer: 209, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82944?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 7. Suppose 0 = 15*f - 18*f + 9. Suppose -2*v = f*g - 19, 0 = -g + 2*g + 1. Let a(p) = -3*p + 4. Let s(m) = 9*m - 11. Calculate l*s(h) + v*a(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -469*j**2 + 15 + 7 + 231*j**2 - 22 + 225*j**2.\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33.214 and 64.\nAnswer: -2125.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5694 = -6*k + 990. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (19 + 21 + -15 + 8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x - 9. Let y be (-18)\/4*8\/(-6). Let s(a) be the second derivative of -a**3\/6 + 5*a**2\/2 - 7*a. What is y*r(z) + 11*s(z)?\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 141\/(-1)*((-4802)\/(-147) + -54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35\/9 - -20\/9. Let x = 16 + -12. What is the closest to 3 in -1\/7, x, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**2 + o - 44. Calculate the lowest common multiple of 56 and a(4).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15369823 is divided by 48?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1183370 and 9466960.\nAnswer: 9466960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 4 (b) -7745 (c) -5 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -13 - (23 - 5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 22*b + 3. Determine z(-2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.1 - -0.9. Let u = -7297 - -7296.5. Which is the nearest to -2\/9? (a) g (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - w + 4)*(-1 + 1 + 2)*(-5 + 2 + 0).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 313434 - 302?\nAnswer: 313132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (220 + 174 + 299 - 473)*(-10*w + 10*w - w - 26).\nAnswer: -220*w - 5720","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14\/(-21))\/(4\/(-210)). Let k = t - 68. Let m be ((-1)\/1)\/(3\/k). Calculate the highest common divisor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 500, 1001, 1502, 2003, 2504?\nAnswer: 3005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -5. Suppose -7 = -15*f + 8. Let v(h) = -h + o + 1 - f. Give v(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4923904909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5\/92*(-2)\/40*(-256)\/12\nAnswer: 4\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**3\/2 + 25665*v**2\/2 + 115452*v = 0.\nAnswer: -25656, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 11. Let c be h(0). Calculate the remainder when 25 is divided by ((-2)\/(-1) + c)\/1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9*o**2 - 5*o + 3. Let s = -2 - -6. Let r(y) = s*y**2 + 7*y - 5*y + 2 - 5 + 2. Give -2*d(t) - 5*r(t).\nAnswer: -2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thihvvthovho. Give prob of picking 3 v and 1 o.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -z + 40. Let d(p) be the third derivative of -p**5\/60 + 5*p**4\/12 - 5*p**3\/3 + 2*p**2. List the prime factors of d(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.51802 - -0.518091873. What is b rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -13\/859006 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/3 + 1 + -3. Let h(d) = d**2 - 8*d + 9. Let w be h(v). Solve -w*x + 7 + 3 = 4*k, k + 11 = -5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106.1345754 microseconds to weeks.\nAnswer: 0.0000000001754870625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90539 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**5 - 435*x**4 - 1385*x**3 + 3075*x**2 + 6840*x - 8100 = 0. What is x?\nAnswer: -3, 1, 2, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 12. Let g be u(6). Suppose g*w = w - 3. Let o(t) = 2*t**3 - 2*t**2 + 1. Calculate the remainder when o(w) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r**3 + r**3 - 23*r**3)*(-267*r + 614*r + 913*r - 200*r) as n*r**2 + s*r + v + h*r**4 + l*r**3 and give h.\nAnswer: -20140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + -66 - (10 + -37 + -2 + 18)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8199?\nAnswer: 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-119 + 215 - 56)*(-685 + 685 + 63*w**4) to m*w**2 + z + k*w**3 + v*w**4 + i*w and give v.\nAnswer: 2520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -2*x + 183. Calculate the remainder when x is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 41.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 4.6\nAnswer: -1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*((-781)\/(-2) - -3). Let n = -538 + k. Suppose 2*j - n = -j. What are the prime factors of j?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**7\/13860 + w**6\/660 + 3*w**5\/220 + w**4\/2 + 4*w. Let j(i) be the third derivative of z(i). Factor j(b).\nAnswer: 2*(b + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(243))\/(-3*sqrt(1296)*-1 + sqrt(1296) + sqrt(1296)).\nAnswer: 3*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -59196*l. Let w(i) = 15*i. Determine c(w(n)).\nAnswer: -887940*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 336, 2628, 8844, 20946, 40896?\nAnswer: 70656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.05 (b) 3\/5 (c) 0 (d) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196.7472 years to centuries.\nAnswer: 1.967472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -21*w + 308. Let y(s) = -s**3 - 7*s**2 - 7*s - 3. Let l be y(-6). Sort -5, w, l, 2 in decreasing order.\nAnswer: w, l, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1520 by 4.\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*((sqrt(1584) - (sqrt(1584) - -1*sqrt(1584)) - sqrt(1584))*2 + sqrt(1584)*-2*-2))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**0\/(p**(-5)\/p)*p**(2\/3)\/p**(1\/20) assuming p is positive.\nAnswer: p**(397\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82001?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.9705084 + 1\nAnswer: 1.9705084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 16. Let v(a) = -a**3 - 5*a**2 + 6*a + 5. Let k be v(-5). Let l = -21 - k. Sort -4\/9, s, l.\nAnswer: -4\/9, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l\/l**(-7)*l*l*l)\/l*l)\/(l*l**(2\/9)))\/(l\/l**(4\/11)*l**0) assuming l is positive.\nAnswer: l**(1103\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*m**3 - 23*m**3 - 24*m**3 - 8254*m + 8254*m.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*s + 20 = -147, 2*s + 85 = t. What is the greatest common divisor of 1235 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14*575\/30 + 6\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1692 divide 71446392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 5, -2, 1 in descending order.\nAnswer: 5, 1, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3 - 14\/(-21))\/((-1)\/5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -7 + 2*t - 1 + 8. Let b(l) = 32*l**2. What is y(b(p))?\nAnswer: 64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3122*b**4 - 3172*b**2 + 178978556.\nAnswer: -12488*b**3 - 6344*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 48729216, 48729210, 48729204, 48729198, 48729192, 48729186?\n\"Answer: -6*h + 48729222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-138)\/46*(-3)\/(-60))\/((-18)\/20)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9.41018 days?\nAnswer: 813039552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 6) to base 11.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = -2. Suppose -3*b + 44 + 2 = a*o, 5*b = -5*o + 55. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 27. Let g(n) = -4*n - 21. Let s(j) = 2*j + 11. Let t(a) = v*s(a) + 6*g(a). Let y(u) = 2*u + 31 - 35 + 0*u - 3*u. Calculate 3*t(z) - 4*y(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010101 - -1?\nAnswer: -11010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 0 + -2 - -6) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 8*o**3 + 25*o**2 - 5. What is j(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -5)*1*8. Suppose -r*y**5 + 6*y**4 + 2*y**2 + 41*y**5 + 6*y**3 - 15*y**5 = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19642 - 34902 = 111*y - 26027 for y.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 200768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 4*h**2 - h + 3. Let b be j(-4). Let p = 11 + 3. Let c = b + p. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/7 in 0.4, 0.3, 17\/5, -21, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -51?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 5, -1.\nAnswer: -42, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, c: 5}. What is prob of sequence cc?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 7*y - 32. Let l be w(-10). Is l\/6 - ((-2005)\/3 - 5) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - -9. Let x = t - 62.1. Which is the third smallest value? (a) -2\/7 (b) -1\/5 (c) x (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2046542059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 11*i**2 - 10*i + 25. Let l be u(-12). Suppose -3*n - 2*v + 19 + l = 0, 4*v = 4*n. Is (2\/n)\/(14\/3304) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 13498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 14*q - 9*q. Let p(x) = 2*x - 3. Let t(b) = 3*b - 5. Let w(i) = q*p(i) + 3*t(i). Let n(c) = -5*c**2 + 10*c. What is n(w(l))?\nAnswer: -5*l**2 - 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41329607*u + 1 + 41329607*u - 1 + 111*u**2.\nAnswer: 111*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**3\/3 - 17*y**2\/2 + 44*y - 9. Let d be x(-19). Suppose s = d*s - 90. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -33*t**2 - 136*t**2 - 18*t**2 + 14*t**2 + 14*t**2. Let y(x) = -16*x. Calculate y(l(q)).\nAnswer: 2544*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 7.59 (c) -0.4 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780 is divided by 156.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 71446*a - 24326 with respect to a.\nAnswer: 71446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n = -100. Suppose 2*c = 74 + n. Suppose 2*f - b - 52 = 0, 4*b + c = 3*f - 31. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 44521*g**2. Let o(z) = 6100*z**2. Determine o(p(i)).\nAnswer: 12090928590100*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -63400 and -3.\nAnswer: -63403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -9*r**3 - 7*r**2 - 5*r - 5. Suppose -5*s = 3*t - 13 - 9, -3*t = s - 2. Let m(o) = 10*o**3 + 8*o**2 + 6*o + 6. Determine s*m(z) + 6*i(z).\nAnswer: -4*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/82 + -1 + -16 + 20\/(2640\/2266)?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1034401.\nAnswer: 29, 53, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85286, -169602, -253918, -338234?\nAnswer: -422550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 244, 274, 326, 406, 520, 674?\n\"Answer: d**3 + 5*d**2 + 8*d + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69404 divided by 69404.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/16*-4)\/(5\/(-3905)). Let r = h + 42954\/55. Calculate the common denominator of r and -6\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12a1533 + 5?\nAnswer: 12a1538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*t - 68 - 3*t**4 - t**2 - 11*t + 7)*(51 + 18 + 72) as a*t**4 + n*t + f + s*t**3 + r*t**2 and give r.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -3, 236, -98?\nAnswer: 236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 - 66. Let d be (-3)\/6*-1*j. Suppose -18 + 4 = -2*u. Solve -4*g - u = d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26005595.\nAnswer: 5, 7, 11, 67547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**36*g*g**(-2\/15)*g*(g*(g*g**(2\/55))\/g)\/(g\/g**(15\/8)) assuming g is positive.\nAnswer: g**(52507\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1143.848985 rounded to 1 dp?\nAnswer: -1143.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 0.3, -5, -32?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*j - 115 - 186 - 220 + 80)*(4*j - 3*j - 2*j) as o + m*j + s*j**2 and give m.\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77036 - 10785111\/140. Calculate the common denominator of -69\/224 and r.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.05 (c) -0.1 (d) -0.14 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6000*g + 238. Let k be j(-12). Suppose -388 = 4*r + 5*x - 72619, -2*x = -4*r + k. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 times -0.5?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Let m(z) = 6*z**2 - 5*z - 1. Let s(x) = 18*x**2 - 16*x - 4. Let h(g) = 20*m(g) - 6*s(g). List the prime factors of h(i).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202748134769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxpi when four letters picked without replacement from {x: 3, y: 3, l: 1, n: 2, p: 1, i: 3}?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316 - 361 = 9*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20933?\nAnswer: 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -191 + 195. Solve -d = -4*y - 0*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 2388?\nAnswer: -2384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31722 = 8*t - 42*t. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*n - 31*n + 15950 = 0 for n.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 14*s - 288 = 0. Let c = s - -1184. Is 34 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0567 + 0.0278. What is a rounded to three decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 485*a - 92 = 439*a. Put 3, a, -3, -5, 12 in decreasing order.\nAnswer: 12, 3, a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/15*10)\/((-35)\/((-51975)\/(-22)))\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c + -d1?\nAnswer: -ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1994013069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*v + 1711 = -7053 - 9415 for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/10 + 2\/10. Suppose 3*k - 5*j = 31, -12 = p*k + 2*k + 4*j. Let u(h) = -h**2 + 8*h - 7. What is the remainder when u(6) is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 89*o - 37182 = -87*o, -2*o = -2*a + 74372. Round a to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1746.6 + 1746.5. Which is the closest to h? (a) 0.043 (b) 48\/7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*z**3 - 95*z**3 - 4 + 4.\nAnswer: -198*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(720\/1026))\/((-35)\/(-14)*6\/(-80))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 u, and 2 y when four letters picked without replacement from {u: 1, a: 2, i: 6, v: 3, y: 5}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1292641 and 1316?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 - k - 46. Let p be b(-22). Let i = p - -1542. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 55001 = 2*b + 54997, l - 8 = -4*b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 3*r + 52, 55*r = -4*y + 51*r + 16 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52.7 - 13.3. Let t = -65.99999804 - a. Round t to 7 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**34*(q**(-1))**(-11))\/(q**(1\/2)*((((q*q**0*q*q)\/q)\/q)\/q)\/q)**(-21\/5) assuming q is positive.\nAnswer: q**(-251\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y**2 + 2*y. Let u be p(2). Let c be (-2)\/(-9) + u\/(-378). Let q(s) = -s + 2. Let a be q(1). Which is smaller: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100100010010 (base 2) in base 9?\nAnswer: -3160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z. Let w(l) be the second derivative of -l**4\/6 + 7*l. Give a(w(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*t + 75 = 0, -2*j + 19 = 2*t - 33. Calculate the remainder when 117 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4483 + 4491. Solve 22 = o*m + 38 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t + t + 0*t + (2*t + 1 - 1)*(-4 + 0 + 6) - 4*t + 2*t + t + 1 - 1 - 2*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from lwllllwwllwlllllll.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 582.5 - 583. Which is the nearest to x? (a) -1\/11 (b) -2\/13 (c) 0 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 574 and 1558.\nAnswer: 10906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.09681 decades to millennia.\nAnswer: 0.0109681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 32 = -a, -n - 4*a + 20 + 58 - 35 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 24 - (10 - -12) - 16.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 10 = -3*h + 5*h, -3*r + 1 = 5*h. Solve 2*v**3 + 2*v + 12*v**h + 2 + 22*v - 2 + 16 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + k**2 - 2*k - 9. Give s(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.8 and 0.19?\nAnswer: 4.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-9870)\/2961)\/((16\/(-9))\/(-2)))\/((-9)\/216)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dod when three letters picked without replacement from {o: 2, d: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137451193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.35 take away -0.025?\nAnswer: 14.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14022*w - 5*w**2 + 1 + 12684*w - 26706*w.\nAnswer: -5*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*s**3 - 63*s**3 - 61*s**3.\nAnswer: -30*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-493)\/3)\/(56015\/(-9885))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*y + 26442 = 26657 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1da (base 14) in base 6?\nAnswer: -1444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21818 - 16112. What is the highest common divisor of l and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -867969 - -10218160.\nAnswer: 9350191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4825.\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785 < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*q - 46 - 20. Let l(p) = -p. Let i be l(-9). Let j be (q\/(-3))\/(-4 + 39\/i). Which is the second biggest value? (a) -5 (b) j (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1, 0, 3, 8, 15, 24, 35?\n\"Answer: a**2 - 2*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 803707 and 2802?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 30*l**4 - 54*l**2 - 116*l**2 + 31*l**4 - 2*l**3 + 3 to f*l**3 + g*l**4 + k*l**2 + c + i*l and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggx when four letters picked without replacement from nnnnnnnnggxxgxnnxngn.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 6 - (-1 + 45).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1604 divide 249777117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 352*u**2 + 19092*u + 4537. Determine h(-54).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10504 is divided by 5242?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 0*u + 6*u - 3 - 2*u - 6*u**2 + u**3. Calculate d(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.2 in 0.4, 0, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 408 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3))**3)**41 assuming b is positive.\nAnswer: b**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -54152 (base 6) to base 8\nAnswer: -16364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-9)\/((z\/((z\/((z\/((z*z**(12\/11))\/z))\/z))\/z))\/z) assuming z is positive.\nAnswer: z**(-87\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 34, -5, 3.\nAnswer: -5, 3, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 618767 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27874*t - 27756*t - 7670 for t.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - 11 - (5 + 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3 + 23*d - 3*d - 9*d - 5*d. Calculate x(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**2 + 227*o - 77*o - 75*o - 75*o - 11*o**3.\nAnswer: -11*o**3 + 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 divided by 135.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.136757 litres to millilitres.\nAnswer: 9136.757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**2 + 7*w + 8. Let j be f(-2). Put 2, j, 0 in ascending order.\nAnswer: 0, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 112505, -1 in increasing order.\nAnswer: -5, -1, 112505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a micrometer in nanometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2. Let w(m) be the first derivative of m**2\/2 + 10*m + 2. Let p be w(-8). Let f(z) = -z**2 + 4*z**2 - z**p. Calculate k(f(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epxppexxpxpppepxpxe. Give prob of picking 2 p and 1 x.\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhheehhhehhhhehhhhh. What is prob of picking 3 h and 1 e?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 77 + -42 + 1 + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*3\/45*72\/520*13?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -25*i + 10. Let h(v) = -17*v + 7. Let f(x) = -7*h(x) + 5*o(x). Let d be f(-1). Calculate the remainder when d\/(8\/6 + -1) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148384771.\nAnswer: 148384771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*u**4 - 9*u**4 + 22*u**4 + 12 wrt u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -7202639?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 2. Let v be u(0). Let n be 10\/v - (0 - -2). Suppose 8 = -n*j + 4*s, 10 = -4*j - s + 6*s. Solve 4*l + 20 = 0, -4*l = -j*q - 2*q + 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 0)\/(4 + -5). Suppose 0 = 2*y - 4*y - 4. Let n be -2 - (y + (-1 - 2)). Sort 4, g, n.\nAnswer: g, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t + 17 - 17. Let v = 5 - 5. Let b(p) = v - 2*p**2 + 0. Determine w(b(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*i**2 + 59*i**3 - 10*i**2 - 12*i**2.\nAnswer: 59*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 8*v + 6. Let y be d(-8). Let h(c) = -c**3 + 5*c**2 + 8*c - 5. Is 4 a factor of h(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2648434 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -2*z**3\/39 + 10*z**2\/13 + 22*z\/13 - 186. Determine h, given that g(h) = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 8, j: 4, q: 1, h: 1, g: 3}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103969 + -72610. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2030599 to 3 dps.\nAnswer: -0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.98 + 0.02. Let s = 50.4 - -3.6. Let y = -53.6 + s. Which is the nearest to -3? (a) -0.1 (b) y (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -939*i**2 + 53842*i - 53842*i.\nAnswer: -939*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1196*i - 10772. Calculate y(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133 - -1000?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 9*r**3 + 5*r + 1. Suppose 5*p - 5*c - 25 = 0, 0*c + 2*c + 13 = 3*p. List the prime factors of k(p).\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, k: 2, z: 8, e: 7}. What is prob of sequence kzee?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*l - 46*l + 19096. Is 1738 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 6*j - 3, 13132*a - 3*j + 4717 = 12951*a - 5778 for a.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h - 20 = 0. Let t(k) = k**3 + 3*k**2 + 2*k + 2. Let s be t(-2). Suppose h*a + b = s*a + 26, -b + 65 = 5*a. Is a 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 214*l**5 + 517*l**2?\nAnswer: 12840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1141730 (base 10) to base 15\nAnswer: 178455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -40087.2 and -2.0587.\nAnswer: -40089.2587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -30. Suppose w = 20*n - 18*n. Suppose 12*g = n*g - 5755. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3840) - (2*sqrt(3840) + sqrt(3840))) + sqrt(60))\/sqrt(12).\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -464, -1551, -3666, -7151?\nAnswer: -12348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 179370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 - 4*m**3 + m**3 - m**3 + 2*m**3 - 2*m**3 - 29*m**2 + 29*m**2 + 14*m**3 + (-m**2 + 0*m + 0*m)*(-m - 2*m + m).\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + sqrt(143)*-1*-2 + sqrt(143))*1)\/(1*sqrt(176)*6).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 294906 to the nearest one thousand.\nAnswer: 295000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**3 + 24*s**2 + 80*s - 265. Calculate b(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 - -93318.00277875.\nAnswer: 93318.05277875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-279)\/14 + 2 + 567\/(-7938)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 0 (b) -14 (c) -0.8 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87867327 and 8795.\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 15*u + 5*u. Let b be (8 - 140\/u)*-9*5. What is the highest common factor of b and 840?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.3 + -1.3. Let n = r - 28. Which is smaller: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 6*y - 15. Suppose c - 231 = -y*x, -5*c + 9 = -2*c. What is the remainder when x is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -331 times 34\nAnswer: -11254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*d + 2750 - 2135 = 3005 + 4426 for d.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, z: 2, d: 1, s: 3}. What is prob of picking 1 s, 1 d, and 1 o?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbcbbbkbkc. Give prob of picking 1 k and 1 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6445, -6443, -6441?\nAnswer: -6439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/9 (b) 0 (c) -6.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from llllddddldddd.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 4. Suppose 4*i = 4*n + 24, 0 = l*i - 2*n + 4 - 30. Calculate the lowest common multiple of i and (-1 - -2) + (-15)\/((-45)\/12).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from suqqmyymufqsmu. Give prob of picking 2 m and 2 u.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 10 = -3*x, -3*x + x = -3*v + 6. Suppose 4*q - 30 = v. Solve -4*g - 6 = -2*f, 3*f + g = q*f + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1178553, -2357097, -3535641?\nAnswer: -4714185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 314338431 to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 15 + 11 - i.\nAnswer: -i - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 8*b. Let s be r(5). Let f = 28 - 18. Calculate the greatest common divisor of s and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 3:06 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-9)*(-72)\/(-48). Is l > -0.78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*t - 10*t = -52*t + 91 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -l - 17, -x - 2*l + 2 = -0*l. Factor z**x + 7*z**3 - z**3 - 4*z**4 + 6*z**4.\nAnswer: 3*z**3*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 161 times -48\nAnswer: -7728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 784\/5 - 5693\/35. Let r = 8186 + -515. Let s = 68963\/9 - r. Calculate the common denominator of f and s.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(2\/3)*v*v)**32*(v**(3\/5)\/v)\/v**(2\/9)*(v\/v**(1\/6)*v\/v**8)**(-1) assuming v is positive.\nAnswer: v**(13939\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2024, -4019, -5958, -7817, -9572, -11199?\n\"Answer: 4*t**3 + 4*t**2 - 2035*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -235 - -237. Let x(u) = 7*u + 1. Calculate x(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -30210 from -423443.4.\nAnswer: -393233.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1097135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-29 - -32) + (-2 - 1 - -7). Let r(z) = -5 - 7*z - 2*z + 10*z. Calculate r(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z - 19*z + 8 = 0. Let u = 0.81 - 0.01. Let c = -1.1 + u. Which is smaller: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498 = -4*q + 170. Let m = -55 - q. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2448303?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*w - 32542 = -67034 + 33580 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 12:35 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/26 - 114\/104. Sort d, -5, 40 in increasing order.\nAnswer: -5, d, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*c + 732 = -914 + 94 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 26*u**2 - 95*u + 160. Let p be w(22). Solve 16 = -2*b + p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/550 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1845*g + 160518. Calculate t(-87).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 12. Let q be b(17). Suppose -3*w - 3106 = -q*f, 4 = -15*w + 13*w. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 2:20 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -15. Let a = -29 - r. Let q = a - -22. Calculate the lowest common multiple of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157345742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -59400*p**2 + p. Let s(l) = -7*l. Give s(b(n)).\nAnswer: 415800*n**2 - 7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10101000 (base 2) to base 7\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-42))\/(-4*(-6)\/(-144)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 179 = -12*f + 4*f + 54, 5*s = 41 - 46 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o + 291. Let u(v) = -5*v - 291. Determine 2*h(t) + 3*u(t).\nAnswer: -t - 291","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 1159*v - 1153*v. Solve 3*b = 2*j + 2*b - 7, -v*b - 1 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-8))\/((-315)\/1680) + (-4060)\/240?\nAnswer: -65\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51 and 330?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.3915 millilitres in litres?\nAnswer: 0.0323915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(2\/7)\/m))**(-31)*m*m**2*(m\/m**2)\/m*m*(m**(2\/5))**(-4\/7)*(m\/(m*m**2))**(-7\/2) assuming m is positive.\nAnswer: m**(-1553\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468 = -2*f + 8*f. Let r = -24 - f. Let n = 3 - -3. Calculate the greatest common factor of n and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -7.02. Let c = r + -0.1. Which is smaller: 2\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32275*r**4 + 436*r**3 - 5236*r**2 - 3721*r?\nAnswer: 774600*r + 2616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57167477 by 1213.\nAnswer: -47129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g - 14*g + 33*g)*(3*g - g - 4*g).\nAnswer: -50*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1*4\/(-8))\/(2\/12). Solve 6*u - z*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 8 + 100 + -33 + -51?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14022*o = -5*i - 14024*o - 15, 0 = -2*i + 5*o + 23 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 87109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 3965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5+557969.125\nAnswer: 557974.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -42c89 (base 13) to base 15\nAnswer: -25bbe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 8 = 4*f - 15, 4*f - 14 = -2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 5. Let d be y(4). Let x(l) = -6*l - 1 - 6*l**2 + 5*l**2 + 0*l**2. Let v be x(d). What is v rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 19. Is -2 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63*k**2 - 63*k**2 + 80*k**4 + (0*k - 3*k + 2*k)*(-k**3 - 2*k**3 + 2*k**3).\nAnswer: 81*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 5. Let p be r(-5). Solve 5*z = 5*j + 15, -2*z = -p*z + j + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (149 - 188) + (47 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**5\/120 - 847*v**4\/24 - 565*v**3\/4 - 160*v**2 + 27*v. Factor l(w).\nAnswer: (w - 1695)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/29)\/(m*m\/m**3*m))\/(m**(-3\/7)\/(m\/m**(-2\/37))))**(3\/23) assuming m is positive.\nAnswer: m**(34962\/172753)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 35 = c, z + 20*c + 5 = 23*c. Let l be -15*((-30440000)\/(-6))\/z. Round l to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 906.7349 litres to millilitres.\nAnswer: 906734.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 7:01 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 13. What is the lowest common multiple of d and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 5*j - j + 8*c, 5*j - 78*c + 82*c - 39 = 0 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*o - 30 + 10, -30 = -3*k - 4*o. Let x be ((-5)\/(k\/12))\/(3 + -5). Suppose 0 = -x*q - 5*l + 4*l + 659, 0 = 5*l + 5. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 30 = 2*c, -4*u = 6*c - c - 7. Suppose 0*z - 29128 = -u*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6744.1 - -15.426.\nAnswer: -6728.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -166 + 165.7. What is the nearest to -1 in -4, m, -12?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 85831 + 154169 = 0. Round s to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 20 = -7*z. What is the units digit of (z*-4)\/(-4 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 5. What is the least common multiple of 2 and a(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-10))\/(2\/8) - 2. Suppose 0*n + 12 = -2*x + 2*n, 3*x + 4*n - 17 = w. Find the common denominator of 235\/30 - -1 - x and 83\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 523.8569 weeks to milliseconds.\nAnswer: 316828653120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m + 20 = 4*r + 25*m, -3*r + 15 = m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 490251773?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.066105.\nAnswer: 0.066105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i = 50979 + 625059. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25516.\nAnswer: 2, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 3:06 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93955098?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40153000*v**5 - v + 39120407 wrt v.\nAnswer: -803060000*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 4, 12, 40 in ascending order.\nAnswer: 1, 2, 4, 12, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 8:22 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-34)*j\/(j\/(j\/(j**16\/j*j)))*j*j**(-23)\/(j*j**(-6\/11)) assuming j is positive.\nAnswer: j**(-786\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/7 of a week?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 657137 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**7\/420 + v**6\/180 - v**5\/40 - v**4\/8 + v**3\/3 + 6*v. Let o(z) be the second derivative of s(z). Calculate o(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5706174 to 4 dps.\nAnswer: -0.5706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -1)\/(1\/6). Let x = 108 - 83. Let s = x - v. Solve -7 = 4*r + s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21819930 to the power of 1\/3, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 2673.\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**3*z**2 - p**3*z - p**2*z**2 - 43*p**2 - 173*p*z**2 - p*z + 2*z wrt z?\nAnswer: -2*p**3 - 2*p**2 - 346*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4067 + 769?\nAnswer: 4825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1670.9504 - -0.0496. Let z = f - 1166. Let y = z + -504.679. What is y rounded to two dps?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*a + 24 = 0, -3*u + 2*u = a - 2. Let i(j) = u - 5 - 2*j + 1. Let x(n) = -4*n**2. What is i(x(f))?\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/874 and 41\/9.\nAnswer: 7866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/81072 and 31\/30576.\nAnswer: 51642864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -5*x**2\/2 + 33. Let d(a) = -2*a + 1. Let l(q) = -7*d(q) + 3*s(q). Calculate l(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 + 43*o + 51. Let d be p(-13). Which is the nearest to d? (a) -10\/7 (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 152095 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/18 and -119\/21295296.\nAnswer: 21295296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 57 = -38*u + 17*u + 17*u, -3*k = 784*u + 10207 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**2\/8 + 29919*j\/8 + 384891 = 0.\nAnswer: -9869, -104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48526*m**6 - m**2 - 5999*m.\nAnswer: 5823120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2000) + (sqrt(2000)*1 - sqrt(2000) - sqrt(2000)) + sqrt(2000))*5 + sqrt(2000)*-1*5)\/(sqrt(250)*-1*-1*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 8*k - 33. Let p(u) = -8*u**3 + 72*u**2 - u + 19. Let l be p(9). Calculate o(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1 + 3*i + 0*i - 2*i. Let q(u) be the second derivative of 2*u**3\/3 + 7*u**2\/2 + 5*u - 4. What is -q(j) + 5*t(j)?\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2021458.699993 - 2021447.7. Let o = c - 11. Round o to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*l - 28*l + 60. Calculate the remainder when 105 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -577, 2, 5\/2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45510 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: Suppose 38423*j = 38418*j + 5. Let r = 1 - -1. Solve -5*f + r = 4*q, -6 = -q + f - j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.1 + 11.1. Let v = 26.6 - 26.6. What is the third smallest value in s, 5, -0.15, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-4 - (-13 - -6)) - 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 6*o - 5\/2*o**2 + 0 - 1\/6*o**3. Determine s(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n. Let a(p) be the third derivative of -p**8\/20160 - 2*p**5\/15 - 6*p**2. Let r(o) be the third derivative of a(o). What is r(z(f))?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 - 1. Let y be n(-1). Suppose -4*q - 3*t = -7*t - 132, -3*q - y*t + 94 = 0. What is the highest common divisor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -42717, -42727, -42739, -42753, -42769, -42787?\n\"Answer: -b**2 - 7*b - 42709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18392 and 884752?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11022112 + -210100?\nAnswer: -12002212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 87*p - 2*p + 57*p = -9729 for p.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 73896982 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58383445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 3*y + 4*y)*(-7 + 4 - 4)*(-27*y + 11*y + 9*y)*(1 + 2 - 4 + (-1 + 3 - 3)*(-4 - 2 + 4) + 1 + 0 - 2 + 4 + 0 - 5).\nAnswer: -98*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5590718 divided by -399337\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 7*y**6\/120 + 11*y**5\/30 - y**4\/12 + 3281*y**3\/6 - 4941*y**2. What is the first derivative of l(t) wrt t?\nAnswer: 21*t**2 + 44*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(0*z + 0*z - 4*z + (-5 + 2 + 2)*(-z + 1 - 1) - 2 + 2 - 2*z + 5*z - 6*z - 6*z + (-1 - 1 + 3)*(2*z + 0 + 0))*(33*z**2 - 20*z**2 + 17*z**2).\nAnswer: 300*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(sqrt(448)*1*-5 - (-4 + -1 + sqrt(448))).\nAnswer: -23 + 192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46b (base 15) to base 5.\nAnswer: 13001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 11*g - 12. Let o(k) = k**2 - 5*k + 2. Let s be o(4). Let x(h) = -7*h + 8*h + 1 + 1 - 3. What is s*a(y) + 22*x(y)?\nAnswer: 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 787087.2 nanometers?\nAnswer: 0.7870872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - -0.4. Suppose -5*b - 5*q = -2*q - 9, 0 = 5*b - 4*q - 23. Suppose -k - 9 = -4*f + 1, b*k + f + 4 = 0. Sort -3, c, k in decreasing order.\nAnswer: c, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 11*a + 18. Let z be g(-10). Suppose z*y - 48 = -8. Let c be 14\/21 + (-4)\/(-3). Solve 2*p = -2*l + c, -y*p = -3*l - l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q - 13*q + 12*q)*(-17*q**2 - 39*q**3 + 17*q**2).\nAnswer: 351*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 16*k - 12 = 0. Suppose k*s + 23 - 824 = 0. List the prime factors of s.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 21*a - 60. Give r(16).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/7)\/((-7)\/(-98)). Suppose -3*y - 48 = -y. Let c = k - y. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjy when three letters picked without replacement from {s: 1, o: 2, y: 2, j: 2, f: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 142, -1\/3, 3\/5 in descending order.\nAnswer: 142, 47, 3\/5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55340095 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 - -0.2. Suppose 2*p = 5 - 7. Let t = 32.08 - 32.28. What is the nearest to t in 2\/3, i, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 494758.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1945, -1937, -1917, -1879, -1817, -1725?\nAnswer: -1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 67*d. Let s(a) = 11*a + 328 + 318 + 314 - 959. What is l(s(x))?\nAnswer: 121*x**2 + 759*x + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (18 + -20 - 41) + (28 - 6)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(1176) + sqrt(24)).\nAnswer: sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 96*c**3 + 22780*c**2 + 262992*c + 778608 = 0. Calculate c.\nAnswer: -5407\/24, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 24*y**2 - 25*y + 53. What is t(23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16899761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 529 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 3*m - 108 - 6, -8 = 5*c + 4*c + 1 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 + 3*a + 1. Let s be o(-7). Let u = s + 305. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.00684 - -64.53316. Let o = q + -62. Round o to one dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**5\/15 - o**2. Let c(h) = -h**2 + h - 1. Let r(x) = x - 1. Let z(s) = -c(s) + r(s). Determine z(k(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -91*p + 370. Let a be u(4). Solve -a*c - 15 = -r - 3*c, 4*r = 4*c + 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 1:19 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1186*f + 15*f - 44 + 46 as j + c*f and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2804 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 8*g - 35. Suppose -25 = 5*k - g*d, 4*d - 15 = 5*k + 5. Let s(y) = y**3 - 4*y**2 + 4*y - 3. Let m be s(3). Solve -3*c + k*c + 12 = m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -36.4. Which is the third smallest value? (a) 0.1 (b) v (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 2*k**2 + 2*k. Let u be g(-3). Let a(r) = r**3 - 8*r**2 + 2*r - 8. Let z be a(8). Let q(i) = z*i - 1 + 5*i - 14*i. Give q(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 46 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*m**2 - 29*m**2 + 67*m**2 + 9*m**2 + 7*m**2 + 2*m.\nAnswer: 123*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8492283 to the power of 1\/2, to the nearest integer?\nAnswer: 2914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 32 - 71 + 206 - 53 - 3*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*r + 3*k + 53, -5*r + 4*k = 67. Let y = r + 14. Let z(m) = m**2 - 2*m - 1. Calculate z(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1180 at most as big as -1179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 6, -31, 0 in increasing order.\nAnswer: -31, 0, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13496 - -22182. List the prime factors of w.\nAnswer: 2, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3 + 1 = 0. Suppose 3*f - 65 = -x*f. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1521285*y - 1521583*y = 19072 for y.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2.507095 meters?\nAnswer: 250.7095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**2 + 2*d**2 + 0*d**2 + 10*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*0\/(-1*2). Let z = g - -3. What is the units digit of z + ((-1)\/(-1) - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v + 42 = 3*j, j = -2*v + 26. Suppose -4*k = 2 - j. Let f(q) = -309*q + 6. Let y be f(k). What is y rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -299231*c + 1196928. Determine p(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**3 + 5*l**2 - 3*l. Let h = -159 + 164. Let k(m) be the second derivative of -m**5\/4 - m**4\/2 + 2*m**3\/3 + 2*m. Calculate h*k(o) + 6*y(o).\nAnswer: -o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/5 - 11208*r\/5 - 24706 = 0.\nAnswer: -11, 5615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1140016*l**2 - 1144*l - 462 wrt l?\nAnswer: -2280032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 1482.\nAnswer: 1\/494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 31*y**2 - 13 + 29.\nAnswer: 31*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1910 (b) 1\/4 (c) 2\/43 (d) -50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5016403, 5016402, 5016401, 5016400?\nAnswer: 5016399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*m + 7*m - 18. Let r(t) be the first derivative of 7*t**3\/6 + t**2\/2 + t + 5. Let c(u) be the first derivative of r(u). Calculate c(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6 + 121\/(-3). Let h be p\/2*(8 - 6). Is -3 - 0 - (h + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 6*f + 4*f - 15 in the form h*f + p and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*q - 19 = 2, -2*l + q = -3. Suppose d - 40 = -l*d. Let p = 23 - 11. Are p and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -48*a + 619. Give q(16).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 3*m + 32 = 38, m + 2 = 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 25*k + 7. What is the thousands digit of v(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2804 = 2803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 35, 1.1, -0.102 in increasing order.\nAnswer: -0.2, -0.102, 1.1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*(sqrt(350)\/(sqrt(42)\/sqrt(486)) + 1)*-5.\nAnswer: -1350*sqrt(2) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 v when four letters picked without replacement from {i: 1, k: 5, q: 1, z: 3, b: 4, v: 3}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*a = -419*a - 11360 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72)*-2 + sqrt(72) + -2 + (-3 + sqrt(18) + 4)**2 + 2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -956 - 247022.\nAnswer: -247978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -255 or 142?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3080 divided by 308\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 98 - (-4 + 1 - (20 - 17)). Suppose 18*c - j = -8*c. Solve c*v + 39 = 43 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/18)*k*k*k\/(k*k*k*k**(-31)*k*k*k)*(((k*k\/(k**(-23)\/k)*k)\/k)\/k)**(-2\/7))**(8\/3) assuming k is positive.\nAnswer: k**(11044\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81\/115 + 7\/23. What is the nearest to o in -2, -0.09, -0.4, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1890 and 1470.\nAnswer: 13230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j = 283 - 347. Factor 5*g**j - 1\/2*g**2 + 0 + 0*g + 3\/4*g**3.\nAnswer: g**2*(4*g - 1)*(5*g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1912338 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 1\/6*i**4 + 0*i + 0*i**5 + 7*i**2 + 0*i**3 - 1\/30*i**6 + 0. Solve j(x) = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -59. What is the closest to -1 in -1, m, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/5 + 342\/(-120)*4. Find the common denominator of 53\/18 and ((-8)\/q)\/(2000\/(-4980)).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1155224568 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4400926 times 0.4\nAnswer: -1760370.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t + 10*t + 4*z + 12 = 0, -t - 2*z = -2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 3 - 7. Let p(q) be the first derivative of 2*q**2 + 23*q**3 + 21*q**3 - 43*q**3 + 10 + 2*q. Give p(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.354976 rounded to zero decimal places?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p = 4*g + 82, 0 = -5*p - g - 223. What is the units digit of (-4)\/(-18) - 530\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8562 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -h + 2. Let w(g) = -g - 6. Let r be w(-12). Suppose -44 = -h*n + r. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**2 + 33*c + 128. Let p be f(11). What is the greatest common factor of 121 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25180 + -25184. What is the biggest value in -354, -1, -0.07, m, -2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 divided by 5?\nAnswer: -187\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 495 = 5*b, -10*b + 6 = -8*b. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1934605?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**2 + 694112*r + 694108 = 0. Calculate r.\nAnswer: -173527, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21506496.\nAnswer: 2, 3, 11, 17, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 653 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 o(m) = 2*m. Let c(l) be the second derivative of 2657*l**4\/12 + 4469*l + 1. Calculate c(o(u)).\nAnswer: 10628*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -19165832 times -2?\nAnswer: 38331664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-26))\/((-1)\/(-3))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*q**2 - q**3 + 18*q**2 + (0 + 0 - 4*q)*(-3*q**2 + 6*q**2 - 2*q**2) - 2*q**3 - 155 + 299 - 147 - 2*q**2.\nAnswer: -7*q**3 - 2*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 58840.\nAnswer: 58840.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*j - 5*z = 177, 4 = -4*z. Let u = j - 83. Calculate the remainder when (u*(-2)\/4)\/((-9)\/216) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -28, -6*i = 4*b - 8*i - 60. Solve 24 = -b*r + 19*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 2350440?\nAnswer: 2350440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -12, 4*b = 2*b + 3*l - 5. Suppose p - b*p + 32 = 0. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a - -7d4?\nAnswer: 7c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pllypttylvvq. Give prob of sequence vt.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*a - 16 = 0, m + 3*a - 251 = -267. Sort 5, -25, m, 4, 1.\nAnswer: -25, m, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-333*s + 31 - 55 + 24)*(-4*s + 3*s + 3*s).\nAnswer: -666*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 18621 - 55343 = 0. List the prime factors of u.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) 100 (c) 0.3 (d) 0.1 (e) -2\/19 (f) -2\/155\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1652, -6544, -14704, -26132, -40828, -58792?\nAnswer: -80024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 8 = 3*t - 5*j, 0 = -4*j - 4. Solve 15 = t*f + 4*l, 0 = 4*f + 8*l - 3*l - 19 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -1633397.8.\nAnswer: -1633397.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169952 is divided by 3221.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 104687, 104637, 104587, 104537, 104487?\n\"Answer: -50*s + 104737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - sqrt(2880)*1 - sqrt(360)\/(sqrt(40)\/sqrt(5)))\/(6*(sqrt(9) + -2*sqrt(9) - sqrt(9)) - sqrt(729)*2) + -1.\nAnswer: -1 + 4*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1.4, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/2 (b) 2\/7 (c) 1 (d) -0.555 (e) -1 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 402204 (base 5) in base 6?\nAnswer: 135140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -283, -2\/17, 0.1, 5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -40.1. Let n = p - -1.9. Which is the closest to 0? (a) 2 (b) n (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6*1)\/((-2)\/(-836)*-11).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -458.17 + 1.67.\nAnswer: -456.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/6)\/(1 - 2). Let w be ((-8)\/(-16))\/(d\/8). Suppose -3*z = 3*r - 9, -4*r + 4 - 1 = z. Solve -w = s - z for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 7, t: 4}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-110)\/50 + (-1 - -3). Which is the closest to -2\/9? (a) u (b) 1\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 27 = 5*i - 7, 4*p = i - 14 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 10*a**2 + 8*a - 12. What is d(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 18*k - 553. Let s be f(31). Let d = -75 + 75.98. Let i = 1 - d. What is the third smallest value in i, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000031716 rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -717810 divided by 3370\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1285009119?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2386704 and 12198?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2))**(-3\/38))**14)**47 assuming s is positive.\nAnswer: s**(1974\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -1.3 (c) -62503\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67 + 65. Let k be (-989)\/b + (-1)\/2. Let y = k - 246. Is y a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1249055818 to the power of 1\/2, to the nearest integer?\nAnswer: 35342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 1\/20 (c) -2\/13 (d) 5 (e) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2 + 3*d**2 - 5*d**2 - 38*d**3 + 37*d**3 + d + 3*d**2 - 1. Let x(f) = -7*f**3 + 5*f**2 + 5*f + 5. Give -5*q(p) + x(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210 - -2?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4584 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 + 68. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.90069941 rounded to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 8*b**2 - 6*b - 6. Let g be r(5). Let n be -1 + (-3 - g\/(-9)). Factor 2\/3*q - 2\/3*q**3 + 1\/3*q**4 + 0*q**2 - n.\nAnswer: (q - 1)**3*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 3*f + 2. Let w be o(3). Let h(u) = 0*u**2 + 2*u**w - 3*u**2. Let b(l) = -3*l**2. Give b(h(y)).\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = -79*p + 39*p + 44*p + 97, -3*o - 39 = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, -0.2, 15, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 399 + 3?\nAnswer: 39c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 2:05 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 3*k**2 - 4*k - 1. Let q = -92 - -88. What is y(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1e (base 16) to base 10\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-30) + (-13090)\/825. Let l(a) = -2*a**2 - 32*a + 21. What is l(o)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 1) + -4 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 8. Let q(u) = 9*u**2 - 9*u + 29. Let m(y) = -5*y**2 + 5*y - 15. Let j(p) = 11*m(p) + 6*q(p). Let r(i) = 4*g(i) - 3*j(i). What is r(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/8, 381, -3 in decreasing order.\nAnswer: 381, 1\/8, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and 115.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11726748.\nAnswer: 2, 3, 11, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3351791 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**2 + 72*r - 8. Let h be s(-18). Sort -4, -3\/7, h, -1\/4 in increasing order.\nAnswer: h, -4, -3\/7, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 10. Let u = l - -18. Let a(d) = 1. Let c(y) = y + 3. Give u*a(s) + c(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1266 = -4*y, y - 3*y - 2520 = -4*x. Suppose x + 201 = 2*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 2624841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 8*g**3 - g**2 - 51*g - 5. Let b(v) = 11*v**3 - 2*v**2 - 77*v - 8. Let m(s) = 5*b(s) - 7*u(s). What is the units digit of m(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1140 divided by 2.\nAnswer: -570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224 - 653 = -182*w + 845 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543658 is divided by 648?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**5 - 5*b**4 - 134*b**3 + b**2 - 9488*b.\nAnswer: 120*b**2 - 120*b - 804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1154208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 9*d**2 - 3*d - 66. Let x(b) = 9*b**2 - 3*b - 86. Calculate 5*j(f) - 4*x(f).\nAnswer: 9*f**2 - 3*f + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/((25\/(625\/300))\/51).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1177, -2025, -2887, -3763, -4653?\n\"Answer: -7*q**2 - 827*q - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1371 + 943*y - 2745 + 1374)*(y**3 - 2*y**3 + 3*y**3) - y**4 + 0*y**4 + 2*y**4.\nAnswer: 1887*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 1.8. Let d = h - -0.4. Let y be (-7 + 9)*(1 + 72\/(-69)). What is the biggest value in y, d, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 7*d + 2*d + 35 = 0, -r + 5*d = 20. Suppose -3*k + 1 + 5 = 0. Suppose -h = -2*h - 3*f + 16, 5*f = 2*h + 23. Put r, h, k in descending order.\nAnswer: r, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*p = -28*p - 154 + 384 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*u - 15*u - 132. Let m(q) = -q**2 - 6*q - 4. Let i be m(-4). Calculate the remainder when (2\/i)\/(1\/u) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - c + 399 = 0. Let u = 165935\/36 + -18409\/4. Find the common denominator of u and (c\/112)\/(359\/(-178) + 2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 21 + 9. Suppose 5*n = 4*n + v*z - 21, -3*n + 3*z - 18 = 0. Does 18 divide (1 - -17)*(n + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from {t: 2, f: 1, r: 3, i: 6, s: 4, g: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26132486573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20065 + -20060. Solve 0 = -4*s + y*u - 25, 2*s - 5*u + 4 = -11 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6486371*i**5 - 5*i - 615542.\nAnswer: -129727420*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 1)*(-63*y - 201 + 187*y + 205).\nAnswer: -372*y - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 10:39 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.259858m to kilometers.\nAnswer: 0.000259858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 8, n - 6*n - 2*q = 23 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3824090510 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1096, 231, -3, 4, 5.\nAnswer: -3, 4, 5, 231, 1096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 199607082 to the power of 1\/2, to the nearest integer?\nAnswer: 14128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 13734*q + 68818. Determine s(-5).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - v = -4*u - 20, u = -5*v + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -164? (a) -0.5 (b) 0.4 (c) 3.27 (d) 2 (e) 6 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 12 + 5 = -x, -4*y = 4*x + 4. Solve 1 = -y*k - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1506852535?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2.13*3866\nAnswer: -8234.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 12, -0.05, 1\/273?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139880598 is divided by 9325373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, c: 2, f: 2, g: 2, n: 4}. Give prob of picking 2 c, 1 g, and 1 f.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 - -130. What is the remainder when o is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - ((-4236)\/(-45) - 16\/120). Let p be -1 + r\/(-72) - (-68)\/18. Factor 0*g - 2\/5*g**p + 0 + 1\/5*g**3 + 1\/5*g**5 + 0*g**2.\nAnswer: g**3*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 13*p + 163. List the prime factors of m(-70).\nAnswer: 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 10*m**2 - m - 13. Let t(o) be the third derivative of -o**5\/20 + 2*o**3\/3 - 17*o**2. Give -2*a(p) - 7*t(p).\nAnswer: p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**3 - u**2 + 1. Let w(s) = -s + 10. Let v be w(9). Let p be t(v). Does 8 divide (60\/(-35))\/(p\/(-56))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/290 and -30\/377.\nAnswer: 3770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**4 + 0*s**4 - s**4)*(2 - 1 + 1) + (-1 + 4 - 4)*(139 + 760 - 82)*(0*s**2 + 0*s**2 - 2*s**2)*(-3 + 3 + 2*s)*(-4*s - 5*s - s).\nAnswer: -32678*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 5\/311 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 282*j**2 + 12 - 11 - 1. Let b(u) = -u**2. Give x(b(d)).\nAnswer: 282*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 4*r**2 - 3*r - 6. Determine u(5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.19 + 1.29. Which is the nearest to t? (a) -80 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085782 a multiple of 570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 1. Let q(t) = -5*t + 6*t - 8 + 5*t - t. What is 6*o(m) - q(m)?\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 81162\/210 + (19 - -8)\/(-135). Factor j - 208\/7*x + 4\/7*x**2.\nAnswer: 4*(x - 26)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114902 is divided by 28725.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**5 - 166960*w**4 - 1168576*w**3 - 2170104*w**2 + 500868*w + 3004776 = 0.\nAnswer: -41733, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 5*t - 82537, -326*t - 330244 = -4*u - 322*t. What are the prime factors of u?\nAnswer: 3, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (-20)\/11) + 54\/(-66). Let c = -0.2 + 0.7. Sort -5\/2, c, x.\nAnswer: -5\/2, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.141 and -406.27?\nAnswer: -57.28407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 7160 = 6270. Suppose 730 = 2*x + 2*t, -t = -3*x - 252 + h. Does 46 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 6 = -2*v. Let c = v + 2. Which is bigger: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 752 is divided by 59.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -0*g. Suppose 3*v = -g*v + 6. Suppose -23 = 2*b + 5*x, 3*b - b - v*x = 12. Calculate the smallest common multiple of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -288*u**2 - 4*u + 12. Let b(s) = -72*s**2 - s + 3. Let j(w) = -9*b(w) + 2*p(w). Let t be j(1). Suppose 0 = d - 11*d + t. Solve 0 = 6*i - d*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = 284 + 238. Which is smaller: h or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/4)\/(2\/(-4)). Sort -8, 0, c in increasing order.\nAnswer: -8, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -65 + p**3 - 4*p - 72 + 140. What is m(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 - 6*r**2 + 8*r.\nAnswer: r*(r - 4)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1. Let s = 39 + -39. Is j less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, n: 11, w: 2}. What is prob of picking 1 z and 1 n?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2893, -9764, -21221, -37264, -57893?\n\"Answer: -2293*h**2 + 8*h - 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 635 divide 142240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 12) in base 15?\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.139 to 1 dp.\nAnswer: -20.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 a when three letters picked without replacement from {w: 4, f: 1, p: 1, a: 8, m: 3}?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 + 0*v**2 + 0*v**2. Let r(k) = 16*k + 9. Let o(s) = 340*s + 204. Let u(n) = 3*o(n) - 68*r(n). Give g(u(j)).\nAnswer: -9248*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 2*g - 5. Determine p(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32213, 64058, 95903?\n\"Answer: 31845*k + 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - (3 - 5))*0. Which is greater: 1\/7 or d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**0\/p)\/(p*p\/(p**(4\/9)*p)*p)*(p**(2\/7)\/p*p)**(10\/3))**(-48) assuming p is positive.\nAnswer: p**(608\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z + 90. Let p be q(-5). Let a be (-1)\/(-10)*2 - (-285)\/p. Solve 2*v - 12 = -a*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 9*z - 5*z - z + 4. Let q(g) = -g - 1. Let p be -1 + 0 + (1 - 1). Let n(w) = p*u(w) - 6*q(w). What is the derivative of n(l) wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6453 is divided by 2145?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*n**2 + 18*n**3 - 19*n**3 - 35*n**2 + 2*n**4 - 2*n in the form j*n + i*n**2 + o*n**3 + x + k*n**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 424*h - 4906.\nAnswer: 2*(h - 11)*(h + 223)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**5\/60 - 25*x**2. Suppose d - 5*w - 8 - 8 = 0, -2*w - 24 = -2*d. Let y(v) = 2*v - 11 + d. Give a(y(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, -4\/5, -4, 0.2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 560 and 1456?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**2 + 9*s - 35 - 65\/3*s**3. Find the second derivative of b(h) wrt h.\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 31970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*u - 4*t, 5*u = 4*t - 10 + 13. Sort 2, 5, u, 4.\nAnswer: u, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 127*y - 7751. Give o(61).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2))\/(144\/(-384)). Suppose 4*o - a*b = 3684, o - 13*b + 9*b - 915 = 0. List the prime factors of o.\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1315 less than 2.2?\nAnswer: 1317.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a + 1a45?\nAnswer: 1a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -108 + 118.8. Let u = -11 + a. Put -3, 3, u in descending order.\nAnswer: 3, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 5. Let r be -2*1\/j - -7. What is the highest common factor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 7*d - 16. Determine w(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -295938 > -295953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 w when four letters picked without replacement from {w: 3, h: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -461 + 465. Let n(b) = -137*b**2 - 11*b - 10. Let x(g) = 138*g**2 + 13*g + 9. Let y(t) = z*x(t) + 5*n(t). What is the second derivative of y(p) wrt p?\nAnswer: -266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w + 6. Let r be (-1 - 6\/(-10))\/((-1)\/(-10)). Let i(t) = -t**3 - 5*t**2 - 8*t - 12. Let m be i(r). Suppose 0 = -m*n - 0*n - 20. Determine x(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 12:26 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6504 = -9*m - 744. What is the highest common divisor of 80 and m?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -119412*i**2 - 64*i + 559428 wrt i?\nAnswer: -238824*i - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -7*z + 20. Let p be (z + 93\/27)*(-6)\/(-8). Suppose -2*q + 12*h - 12 = 7*h, 7 = -5*q + h. Is p less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.028984693 to four decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 437763 + 528508. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3072 = 4*x - 3*h, -4*x = -3*h + 3072. What is x rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 - 180*i**2 + 4294*i - 11316.\nAnswer: 2*(i - 46)*(i - 41)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25112687969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(2224\/(-445) + 5). Suppose -q + f = 435. Solve 0 = o + 4*o - q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 221524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14852\/14 + (-6)\/(-42) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -417343, -417411, -417481, -417553, -417627, -417703?\nAnswer: -417781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -60.04. Let s = i + 0.04. Let w = 612\/5 - 123. What is the smallest value in -3\/8, s, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1359852 divided by 679926?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-10 - 4 - (-1 + 1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 + -34. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Let g = -3 + j. Let s be 0\/(2\/2*g). Solve -t = -s*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2518 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 189 - 156. Suppose 8*o + 3*o + a = 0. Suppose -3*d = -n + 3, -2*d + 4*d = -2*n + 6. Put 0, -5, o, n in ascending order.\nAnswer: -5, o, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(1\/6)))\/w*(w\/(w*w**5))\/w)\/(w*w**4*w**1\/w)*(w**0\/w)**2\/(w\/((w**(2\/7)*w)\/w)*w\/w**(3\/7)) assuming w is positive.\nAnswer: w**(-649\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 624?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 6. Let h = 1.5 - n. Let q = 10 - 6. Which is the third biggest value? (a) 5 (b) q (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**16*j**(-17)*j*j**(2\/21)*j*(j*j*j**4)\/j assuming j is positive.\nAnswer: j**(128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*l**2 + 4*l**2 + 14*l**2 - 63*l**2 + 16*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13128650880 rounded to the nearest one million?\nAnswer: -13129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -17. What is the closest to i in 4, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11510887*p**5 + 26082*p**2 - 2*p + 92.\nAnswer: -690653220*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 232\/(17 - -12) + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1292 divided by 38.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47926*s + 1288 = 47898*s for s.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**5\/5 + 876*k**4\/5 - 2368*k**3 + 51648*k**2\/5 - 14848*k = 0?\nAnswer: -232, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**4 - 3*b**4 + b**4 + (1 - b - 1)*(0*b**3 + b**3 + b**3) - 2*b**4 + b**4 - 6*b**4 + (3*b**3 + 2*b**3 - 3*b**3)*(b + 3*b - 2*b).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2109 (base 12) to base 5\nAnswer: -103414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545372 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109641?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 300 and 600675?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 2*c - 24, -3*d - 5*c = -10 - 12. Let f = 13 + d. Let t = -4 + f. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*c**2\/5 + 57*c + 177\/5 = 0.\nAnswer: -59\/36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 - 0.34. Let p = 0.2 + k. Suppose 3*i = -3, -5*n + i + 22 = -2*n. Which is smaller: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 110*x - 145. Give g(0).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 3*z - 17. Calculate w(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00195208922 rounded to 4 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 89*v + 653. Let t be n(8). Solve -19 = -2*j - t*w, -9*w + 4*w + 28 = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 21 - 18, 6 = -2*k - 2*v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2924 in 3, 1\/20, -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 1\/2, 0.61, -5, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -26*k**2 + 16*k - 8. Let z(f) = 16*f**2 - 10*f + 5. Let g(y) = -5*v(y) - 8*z(y). Let i(l) = -6*l - 21*l - 23*l - 24*l. Determine i(g(q)).\nAnswer: -148*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(5) - 4*(-2 + sqrt(5)) - sqrt(180)*-2)**2.\nAnswer: 144*sqrt(5) + 467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 194.082 - 0.082. Let a = 195 - g. Let d = -3 + 3.3. What is the closest to -0.1 in d, -2\/7, a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 31, -9 in descending order.\nAnswer: 31, 4, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 137084858 and 278.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -315429 and -315429 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a factor of 2282477857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-645)\/153 - (-637)\/147?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 261420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5049 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(-6)\/30*(-40)\/6. Let l(p) = 8*p**3 + p**2 + 2*p - 25. Let q(x) = 7*x**3 + x - 24. Let h(w) = -6*l(w) + 7*q(w). Is h(r) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwwxwwqhw. Give prob of picking 1 h and 1 x.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 486047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 - -25. Let l be (-333)\/(-5) - r\/(-20). What is the greatest common divisor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/132804 and 89\/856800?\nAnswer: 26560800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2051013 and 14442.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7968*k + 7970*k + 2 = 2*t, 4*k = -2*t - 22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 87*l. Let a(q) = -11*q. Calculate -33*a(r) - 4*v(r).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -39*p**3 + 51*p**2 - 27*p + 33. Determine t(-4).\nAnswer: 3453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 418\/3, 26, 0.5 in decreasing order.\nAnswer: 418\/3, 26, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 11:24 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -150, -212, -256, -276, -266?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -513\/8 - -64. Let v = -1.3 + 1. Put v, h, 1 in ascending order.\nAnswer: v, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**4 - 2*j**4 - 7*j + 10*j)*(3 - 2 + 5).\nAnswer: -12*j**4 + 18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -5 - 4 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 e, and 2 l when four letters picked without replacement from rleuulc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 4*b**2 - 2*b - 3. Calculate x(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - f. Let c(q) be the first derivative of -5*q**3\/3 - q**2 + 11*q - 9. Let h(l) = c(l) - 2*d(l). Differentiate h(a) wrt a.\nAnswer: -14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16017428 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61182, -61273, -61418, -61629, -61918, -62297, -62778, -63373?\nAnswer: -64094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*w, -3*w + 12 + 218 = 4*f. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*h + 489, -36*m + 35*m + h = -123. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1310*j**5 + 598*j + 303*j + 343*j - 108*j**5 - 565*j**5 wrt j.\nAnswer: -39660*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 27*t**2 - 436*t - 60. Let s be q(40). What is the highest common divisor of 700 and s?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*a**3 + 6*a**2 - 26*a**3 + 35*a**3)*(-3*a + 0*a + 2*a)*(2*a - 3*a - a).\nAnswer: -18*a**5 + 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3438031 is divided by 1718989.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - z**2 + 26*z + 3. Let f be u(0). What is the fifth smallest value in -0.06, -2, f, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 + 64*s**2 + 119*s + 10. Let n be x(-30). Suppose 2*h = -182 - 64. Let m = -23 - h. What is the greatest common divisor of m and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 106631440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3078 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from oksauawu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12423469.\nAnswer: 97, 211, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2 - 23*s + 44. What is the remainder when x(10) is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 13*m**4 + 5*m**3 + 5*m**2 - 9*m - 234. Let c(x) = -2*x**4 - x**3 - x**2 - 2. Let f(i) = -5*c(i) - z(i). Find the first derivative of f(b) wrt b.\nAnswer: -12*b**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144 (base 6) to base 2\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 20*v - 1. Let g(t) = t. Calculate -5*g(q) + i(q).\nAnswer: 15*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.33 and -0.8769.\nAnswer: -1.2069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -15. Let o = -6 - r. Suppose -16 = -o*q + 53. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**5\/6 + 89*w**4\/3 - 3296*w**3\/3 - 12797*w**2 + 257211*w\/2 + 1188594 = 0.\nAnswer: -9, 11, 69, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**2 + 23. Let n(t) = 3*t**2 + 3*t + 8. Calculate n(q(v)).\nAnswer: 27*v**4 - 423*v**2 + 1664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*i*q**4 + 4*i - q**4 - 2*q wrt q?\nAnswer: 252*i*q**2 - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3714975 divided by -869\nAnswer: 4275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 901056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1688746680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 - n**2 - 1. Let j = -5 - -10. Suppose -5*t - 2*g = -24, -j*t + 14 = -3*t + 3*g. Calculate the remainder when u(-2) is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 76\/7, -1, 2, 12.\nAnswer: -1, 1, 2, 76\/7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -l + 21, -l - v = -169 + 161 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 3*m - 22, -124*g + m + 4*m = -125*g + 4*m - 5 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 1)*2 - (1 + sqrt(117))) + -1 + 3*(sqrt(832)*3 + sqrt(832) + sqrt(13))*5.\nAnswer: 494*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-67.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73735674 divided by 24578558.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -148, -154, -160, -166, -172, -178?\n\"Answer: -6*p - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 14) to base 16.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 2. Suppose 3*c + 1 - 9 = -4*p, -3*p + 4*c + 6 = 0. Let k(n) = 2383. Let h(s) = 794. Let d(j) = -3*h(j) + k(j). What is p*g(f) - 3*d(f)?\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -909\/8 + 114. Let i = 4.11 - 0.11. Let k = 3.6 - i. What is the second smallest value in 1, k, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + (-3 - -8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 1, -184 in ascending order.\nAnswer: -184, -35, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 831812593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**2 - 83*i + 340 wrt i?\nAnswer: -2*i - 83","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 12:22 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 greater than or equal to 594?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*u**2 - 89*f**2*u + 244*f*u**2 + 2*u wrt u?\nAnswer: 2*f**2 + 488*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22922 less than 1228?\nAnswer: -21694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 151 = y + 55, -2*y - 451 = -5*f. What is the tens digit of y*(25\/(-10) + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2043*k = -1740*k + 303 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 110183*b - 1098. Let z be f(6). Round z to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j = -13*j - 2604. Suppose 2*o = -4*g - 2*o + j, 5*o + 15 = 0. What is the remainder when g is divided by 41?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + k**2 - k + 1. Let j(u) = 5*u**3 - 10*u**2 + 8*u - 3. Let f(w) = j(w) + 4*v(w). Let b = 90329 - 90325. Give f(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 45\/(-6)*(-2)\/1. Suppose 0*d - j = -2*d - a, -5*a - 42 = -3*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -s + 3. Suppose -s*f - 10 = -4*f. Let u be ((-20)\/6)\/(f\/(-15)). What is the greatest common divisor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence paa when three letters picked without replacement from nnnnnpppananppnpnnn?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42 * 4.15.\nAnswer: -174.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 154571077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 2 (c) 1 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171 - 169. Suppose -y + 2*s = -221, t*y - 5*s + 8*s = 421. Calculate the remainder when y is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 12*c**3 + 120*c**2 + 276*c + 168. Let f(t) = 3*t**3 + 30*t**2 + 69*t + 42. Let i(j) = 9*f(j) - 2*x(j). Let i(d) = 0. Calculate d.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 2*m**2 - m. Let y(o) = -o**3 + o**2 + 2. Let n be y(0). What is t(n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26795130 is divided by 73?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3338)\/4 + 8\/(80\/(-15)). Let k = r - -1891. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.3787445 minutes to hours.\nAnswer: 0.022979075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 8, 13?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.01229*-0.3\nAnswer: -0.003687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 18476 and 18493 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from uxouyojiujooxjo.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -275, -545, -813, -1079?\n\"Answer: x**2 - 273*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1529 + a + 2*a**2 - 7*a**2 + 5*a**2 + 206*a**4 + 1532 in the form y*a + t*a**4 + q*a**2 + r*a**3 + g and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o. Let k(f) = 5475*f. Calculate k(t(s)).\nAnswer: 10950*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/((-2080)\/(-128))*15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199, -461, -1037, -2017, -3491?\nAnswer: -5549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 2. Let i(q) = -2*q**3 + 6*q**2 - 5*q + 247. Let x(p) = 3*g(p) - i(p). Differentiate x(c) wrt c.\nAnswer: 6*c**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 495365226?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -35. Let i = -0.3 - 0.1. Is l smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -749588 + 374797 - 19*u**2 + 374791.\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1329552039, -1329552040, -1329552041?\nAnswer: -1329552042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/3 (b) -11 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a factor of 87627157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1412.5, -6\/221, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 + 844954710*j - 35697423097559205.\nAnswer: -5*(j - 84495471)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/7, 7, -1.1, -10\/109?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5140, 10274, 15408, 20542, 25676, 30810?\nAnswer: 35944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**5\/30 - 51*q**2 - 2. Let t(a) = 219*a**2. Determine v(t(w)).\nAnswer: -95922*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -8017, -0.4, 3, 0.5 in ascending order.\nAnswer: -8017, -0.4, -1\/4, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 76192003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 3*t + 13 = 0, -3*x + 3 = -10*t + 13*t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 44. Let k = d - 44. Let y = -26.029 - k. What is y rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.859 - -5.867. What is r rounded to 1 decimal place?\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 75 (c) -0.05 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*a - 603192 = -257*a. List the prime factors of a.\nAnswer: 2, 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 15. Put q, -2\/17, 4\/5 in descending order.\nAnswer: q, 4\/5, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120133 (base 4) to base 8\nAnswer: -3037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/7)\/(29*(-28)\/(-5684)). What is the nearest to 0.1 in -0.4, f, -59, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 205.68 - 205.38. What is the closest to -1 in 2, w, 4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1082 is divided by 99?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 + -25 - ((-2)\/(-1) + 2*-1) and 40.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 62. Suppose 0 = 4*z - 90 + 14. Let q = -5 + z. What is the greatest common factor of q and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 67178, 59528, 51880, 44234?\n\"Answer: x**2 - 7653*x + 74830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*p - 2163 + 553. Suppose 2*c + 5*m - 85 = 0, -m - p = -c - c. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((2 - 1)*0\/6)\/2. Is 4\/111 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 82744 - 2*j**2 + 7*j - 82752 - j**2 + 0*j**2. What is h(5)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151 + 149. Let t = -0.27 - -16.27. Let q = t + -15.8. Which is the closest to 0.2? (a) -2\/5 (b) i (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 2*r - 4*r)*(-974*r**2 - 1 + 450*r**2 + 387*r**2).\nAnswer: -274*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*w = -2, -18*w + 13*w = 5. Let v(q) be the second derivative of -q**3 - 2*q**2 + 0 - 1\/6*q**h - 4*q. Find d, given that v(d) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((24\/15)\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/3 + (-69)\/23. What is the third smallest value in f, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 4*b + 2*b)*(-451 - 218 - 65).\nAnswer: 1468*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10218163 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**6\/120 + j**5\/20 + j**4\/8 - j**3 + 13*j**2. Let q be f(3). Suppose 150 = 5*r - w, -r + 16 = -0*r - q*w. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41021 (base 10) to base 13.\nAnswer: 15896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -f + 4*f. Suppose f*w + 101 = -4*k + 41, -2*k - 25 = -3*w. Let j = -10 - k. Calculate the remainder when 10 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 y when three letters picked without replacement from iyyii.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**2\/7 + 158*j\/7 - 3008\/7 = 0.\nAnswer: 32, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n**2 + n**2 - 6*n**2)*(-5*n + 31*n - 26*n - 23*n) to g*n**2 + x + d*n**3 + i*n and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 49*s**3 + 2. Let g(b) = 73*b**3 + 3. Let h = 9 + -2. Let m(a) = h*w(a) - 5*g(a). What is the units digit of m(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -121\/2 > 6925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 3*t - 1. Determine c(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*o**2 - 5*o**2 + 3*o**2)*(-14 + 2 - 6) - o**2 + 2*o**2 - 2*o**2)*(2*o + 5*o - 5*o) to the form n*o**2 + j*o**3 + x + q*o and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-8)*(-680)\/255?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3468\/(-612))\/((-1)\/3)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.380780802 rounded to 5 dps?\nAnswer: -0.38078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 376 less than 368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3034 = -4*p + 3718, 0 = 2*p + 2*d - 3376. Let q = p + -18556\/11. Which is the third smallest value? (a) 10 (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -105534\nAnswer: 1055340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-24) - 17\/4. Let t(q) = -q + 1. Let s be t(h). Let x be 24\/9*51\/(-68). Sort 2, x, s, -3\/2.\nAnswer: x, -3\/2, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 4. Suppose -108*y + 105*y + 2*d = 0, -4*y + 20 = 24*d - 20*d. Put l, 3, y, 5 in decreasing order.\nAnswer: 5, 3, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -207184310*l**4 - l - 3511259 wrt l?\nAnswer: -2486211720*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/193368681 and 53\/308403.\nAnswer: 193368681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -249\/5 and -49 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 8*q**2 - 5*q + 1. Let h(b) = -7900*b**2 - 25*b - 3789. Let l(j) = h(j) - 5*s(j). Find the first derivative of l(u) wrt u.\nAnswer: -15880*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 67*q**2 + 512*q + 476. Let t be z(74). Solve -t*s = 215 - 23 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (420 + 427 - 8*a - 186*a - 834)*(-2*a + 7*a - 4*a).\nAnswer: -194*a**2 + 13*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144.38*-31.\nAnswer: -4475.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sppppppsssppppspsps. What is prob of picking 1 s and 3 p?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 1 - 54. Suppose 3*z - m = -2*z. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 1 + 16 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(153) + 5 - sqrt(17)*-4*2)**2.\nAnswer: 120*sqrt(17) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 2*p**7\/105 + 31*p**6\/30 - 32*p**5\/15 + p**2 - 114. Factor c(h).\nAnswer: 4*h**2*(h - 1)*(h + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1631456 divided by -17\nAnswer: -95968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 4:15 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*i)*(3 - 1 - 3 + (-1 + 4 - 1)*(0 + 1 - 2) + (363 + 607 - 431)*(1 - 3 + 0)).\nAnswer: 2162*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 1:44 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -18769*l**2 - 168908*l + 108. Give y(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -93*w**3 + 94.\nAnswer: -279*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 140.1253848 rounded to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 2*w - 96. Solve -3*j + g = -3*g - 28, -5*j = -g - w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420128 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11765 + 11822. Solve -36*u - 42 = -g*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 7:12 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -22*j + 7. Let w(c) = 13*c + 2. Give w(u(p)).\nAnswer: -286*p + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 58542065 to the power of 1\/2, to the nearest integer?\nAnswer: 7651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -8 - (-7 - -19) - -5) + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13865691529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 3*z = t + 2, 4*z = -3*t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7433 - 7433.3. Sort -0.07, -0.19, 4, k in ascending order.\nAnswer: k, -0.19, -0.07, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 28747 - 4243. Suppose 942 = 6*i - a. What is the greatest common divisor of i and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-527*q + 1050*q - 526*q + 23)*(-13 + 9 + 36) + 0 + 2*q + 0.\nAnswer: -94*q + 736","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a week in hours?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c - 3*b + 13, 0 = 4*c + 4*b - 24. Let o be 1*(-825)\/33 + 40. Which is smaller: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e100 + 3?\nAnswer: -2e0ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3562902*h - 3562901*h + 9 = 5*f, -16*h + 4*f = 372 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 10:15 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o - 6 = 3*r, 5*r = o - 23. Solve -3*z + 0 - o = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7876969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**2 - h**5 + h - h + (-442 - 746*h + 442)*(3*h**4 - 2*h**4 + h**4).\nAnswer: -1493*h**5 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3\/5 - 4*j**2.\nAnswer: -4*j**2*(j + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39286514 is divided by 328.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9858.\nAnswer: 2, 3, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.3292 + -0.0708. Let l = q + 15.7. What is the nearest to 12 in 2\/3, -3, -3\/7, l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273965 is divided by 1161?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*b - 0*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*a + 170, 233*f - 228*f + 382 = 4*a. Solve 73 + a = 23*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*k = 12, 0*c = 4*c - 4*k - 8. Let d = 104 + -48. Suppose -c*s + 0*s + d = 0. Calculate the lowest common multiple of s and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 6*t - 3. Let k be s(-2). Suppose -k = -6*y + 1. What is the second smallest value in -2\/9, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - 3342*4\/(-6). Suppose -2*p + 5*y = v - 7264, -7504 = -3*p - y. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.458 times -0.6\nAnswer: -0.2748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - -49. Let o = -63.3107 + -0.2493. Let u = o + s. Round u to 1 decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**3 - 30. Let m(r) = 16*r. Give y(m(p)).\nAnswer: -768*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (((-774)\/8)\/3)\/((-2769)\/129220) and 11?\nAnswer: 16555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 5 = -d - t, -2*t - 20 = -5*d. Suppose 2*m - 212 = -d*m + 3*s, -4*s = 0. Calculate the remainder when m is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25071921\/522*2\/7.\nAnswer: 13723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4685338.\nAnswer: 2, 7, 334667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xkkkxxxxxkxxk.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from tslttnttjtttttt.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u**3 + 3*u**2 + 14*u - 17. Let c be j(-2). Let f(g) = 2*g**2 - 4*g + 4. Let b be f(4). Suppose 2*o = -3*o + b. Solve o*r = -5 - c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 20100101020122?\nAnswer: 20100101020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/((-9)\/((-1170)\/(-4)))?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -166 (b) 2 (c) 760748\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 20. Let c be r(15). Let g(d) = -d**2 + 8*d - 1. What are the prime factors of g(c)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1063 - 2.6.\nAnswer: -1065.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -1\/19*v**2 + 1\/38*v**4 + 2\/57*v**3 + 0*v - 8 - 2\/95*v**5. Determine r, given that y(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6768 is divided by 56?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.25026 centuries to decades.\nAnswer: 412.5026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) 4.7 (c) -3\/5 (d) -17\/3 (e) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 36 = -v, 0 = -v + 7*a - 2*a + 68. Let w = -20 + v. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-252)\/(-117))\/7 + 13860\/585?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -355 greater than -30947\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 92 - 7b37?\nAnswer: -7a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-93)\/(-11)*(-8)\/16 and -53\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**2 - 50*c. Calculate z(-8).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 120059529841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2010 - -3851. Suppose -2*t + 3*z - 1380 = -5*t, 3*z - f = -4*t. What is the remainder when t is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-557)\/5 - 51\/85. Let v = x - -176. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/5, 95, 4917 in ascending order.\nAnswer: -1\/5, 0, 95, 4917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*s + 12 + 53 - 158 + 46 + 47.\nAnswer: 142*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3 + 1)*(-1 + 1 - 9)*(-27*n + 55*n + 1 - 25*n) + n - 2*n + 2*n to the form j*n + s and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59842 is divided by 7122.\nAnswer: 2866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.2, -1, -0.48845.\nAnswer: -1, -0.48845, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (4 - (4 + 2 + -5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6056625563 + 6?\nAnswer: 6056625602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.223212kg in milligrams?\nAnswer: 5223212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 7:43 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 46 = -29*k, -k + 3*q - 226 + 188 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.3 + -19.2. Let v = g + -0.2. What is v rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 0*f**3 + 19\/210*f**7 + 0*f**5 + 0*f + 0*f**6 + 14*f**2 - 1\/8*f**4 + 0. Find the second derivative of s(c) wrt c.\nAnswer: 228*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a + -274?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**4\/4 + 63*w**3\/2 - 399*w**2\/4 + 135*w\/2 = 0.\nAnswer: -45, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**4\/8 - o**3\/3 - o**2\/4 + o + 369. Solve c(u) = 0 for u.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 - 23 - r**2 - 3*r**3 + 2 - 7*r + 0*r**3. Is j(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 - 0.74. Let s = k + -0.26. Which is the nearest to 2? (a) 4 (b) 0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -2\/5, -5\/6 in ascending order.\nAnswer: -5\/6, -1\/2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 48023.74 centuries in millennia?\nAnswer: 4802.374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2741 = 4*k - 5*j, j - 2*j = 3*k - 2051. Suppose -3*g = 3*m - 2*m - 129, -5*m - 2*g + k = 0. What are the prime factors of m?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272995 to the power of 1\/2, to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = -68 + 12 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/7 (b) 1 (c) 0.4 (d) 3 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 9) in base 7?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84128*b**2 + 28039*b**2 + 3*b**3 - 28*b**3 + 28045*b**2 + 28044*b**2.\nAnswer: -25*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4645, 4643, 4641, 4639?\nAnswer: 4637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 16*z**2 - 36*z + 9. Let w be q(18). Suppose h - w*h + 40 = 0. Solve 0 = -3*n + 4*n + h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + 667*f**3 + f**2 - 191*f**3.\nAnswer: 476*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 2. Let p be k(-2). Suppose 0 = -p*b - b + 42. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 75 = -10*z. Factor z*g**2 + 8*g**3 - 9*g**3 - 6*g**2 + 2*g.\nAnswer: -g*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -195683*i**6 + 6*i**2 + 4082*i?\nAnswer: -23481960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 51*p**2 - 1915*p - 4475. What is o(40)?\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3)*s)**(-1\/7)\/(s**1*s**(-1\/5)*s) assuming s is positive.\nAnswer: s**(-214\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(19) - sqrt(190)\/(sqrt(10)*3))*-3)**2.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/43 - -22\/129. Let t(f) be the second derivative of 0 + 0*f**2 - 2*f**3 - w*f**4 - 5*f. Determine y, given that t(y) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -64021630642?\nAnswer: 64021630647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 132231.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, w: 4, v: 6}. What is prob of sequence vw?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*t**3 - 939*t + 939*t + 41*t**3.\nAnswer: -233*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 10*n**2 - 31*n + 39. Let d(o) = 7*o**2 - 21*o + 26. Let l(c) = 7*d(c) - 5*r(c). Let x be l(15). Is x\/(-3) - 30\/(-45) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2020450 - -701?\nAnswer: -2017547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.07 (b) 0.16 (c) 7 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -31, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12231 (base 4) to base 7\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 30*s + 203. What is q(16)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*s - 146*s + 71*s - 2.\nAnswer: -4*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 202 = -7*q + 3*q, 0 = -5*q - 15. What is the remainder when 1\/(((-15)\/f)\/(-3)) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 12:20 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iitsvgstigsxsiixigt. What is prob of picking 1 s, 1 v, and 1 g?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -14*f**3 - 89*f**2 - 29*f + 23. What is c(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*n = -94096292 - 22541676 - 46077648. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 + 40. Let z(r) = 38*r + 32. Let g be z(u). Let c be (g*300 - 0)\/((-2)\/60). What is c rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7*r**2 - 3*r + 4. Let h(x) = -11*x**2 + 9*x**2 - 2*x + 4 - 4*x**2. Let d(b) = 5*c(b) - 6*h(b). Calculate d(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4966?\nAnswer: 2, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003648076066 to 7 decimal places.\nAnswer: 0.0000365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 17, -0.2, 62\/7, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-2\/7)*v*v*v**4)\/((v\/((v*v\/(v\/v**(1\/12)))\/v))\/(v\/(v*v**4))))**(-18) assuming v is positive.\nAnswer: v**(-705\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*u, 2*f = 6*f - 4*u + 24. Let y(l) = 4*l - 110. Let d be y(43). Let x = d - f. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2\/6 - 49471*z\/3 - 2447379841\/6 = 0.\nAnswer: -49471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, z: 1, v: 1, l: 5, g: 3}. What is prob of sequence lvgz?\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3755547\/10014920 - -6\/1251865. Let z be 0 - 2\/2 - -6. Let x = -0.04 - 2.96. Put z, x, a in increasing order.\nAnswer: x, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117 - 111 - (2 + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1))**(11\/5)\/(s**(-2\/7))**35)**(4\/23))**6 assuming s is positive.\nAnswer: s**(936\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-2 - -5 - -14) + -10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 609018843?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*q + 35*q = -75871 + 20326. Let z(b) = -50*b + 2. Let a be z(-2). Is q\/(-4) - (a\/24 + -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**2 - 7*c + 5. Let t(j) = -6*j**2 + 8*j - 6. Let m(g) = -5*l(g) - 4*t(g). Let r be m(2). Solve -r - 2 = 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 divided by 5?\nAnswer: 99\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 - 81. Let c = -22 - -27. Solve c*t = o*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5459265 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2100331 (base 5) to base 10\nAnswer: 34466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * -0.5.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -63 + -857758?\nAnswer: -8577bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 112?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2559*p - 25665. Determine h(10).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 greater than or equal to -2\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5546716 + 12839857*x + 1533784 - 880680*x + 2243439*x**3 + 9270423*x + 21205805*x**2 + 5*x**5 - 11885*x**4 + 4801376*x**3 = 0.\nAnswer: -1, 1190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7936 and 21824?\nAnswer: 87296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p + 5. Let o(j) = 8*j + 21. Let u(m) = -9*k(m) + 2*o(m). Suppose 14 = -101*d + 103*d. Suppose -2*i - 4*y = d + 13, 4*i = 3*y - 7. Calculate u(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 302914, 605824, 908734, 1211644?\n\"Answer: 302910*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43016 and 20561648?\nAnswer: 20561648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 566, 2188, 4896, 8690, 13570?\nAnswer: 19536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 3*z**2 - 13*z - 49. Determine p(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -56*h**2 + 2. Let z(o) = -6*o. Give i(z(t)).\nAnswer: -2016*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 3\/4*t**4 + 0*t**3 + 0 + 0*t**2 - 14*t + 1\/2*t**5. Find the third derivative of y(a) wrt a.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79444, 3, 3\/2, -3\/2.\nAnswer: -79444, -3\/2, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/(-1)*(-192)\/1280.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22970 or -23886?\nAnswer: -22970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23435303 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27146417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28.99 - 80.7. Let j = -52 - z. Let r = j + -0.01. Which is the nearest to r? (a) -3\/5 (b) -2\/3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 10 = 2*r. Let x = r + -24. Is -28 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 13) in base 7?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 100*k - 56*k + 41*k + 12.\nAnswer: -115*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 13*w + 9. Let f(i) = -7*i - 5. Let r(g) = 11*f(g) + 6*y(g). Let x(b) = 24*b + 24. Let m(c) = 10*r(c) + x(c). Is m(3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12645, 12647, 12651, 12657, 12665, 12675, 12687?\nAnswer: 12701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/25)\/((-2)\/(-10)). Let u(p) be the third derivative of -1\/300*p**5 - 1\/30*p**3 + 0 + 1\/60*p**4 + x*p**2 + 0*p. Factor u(r).\nAnswer: -(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 4*a + 25 = -9*a, 4*r + 2*a = 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 111001?\nAnswer: 111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 54263741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51 or -22772?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 47552481 + -3?\nAnswer: 47552477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/4 of a hour?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10124, -10141, -10152, -10145, -10108, -10029, -9896, -9697?\nAnswer: -9420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 5*j + 1 + 3*j - 3*j. Let h = 8 - 14. Let q be y(h). What is the greatest common divisor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 51aabbb?\nAnswer: -51aabb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**4\/12 - 5*o**3\/6 + 14*o**2 + 101*o. Let i be s(3). Solve i*m = -6 - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 203 + -215.7. Let m = i + 13. Let g be 0\/((-1)\/1) - 2. What is the closest to g in -1\/5, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - t + 6 = -5*t, -4 = -2*r + 4*t. Let q be (9\/(-6))\/(r\/2652). Suppose -3*s + 1608 = -q. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56 - -59)*(-21)\/36.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 764 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-557 - 660 + 1079)*(v - 4 + 4 - 3 + 3 - v + (-4 + 1 + 5)*(2*v - 2 + 2)).\nAnswer: -552*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*g**3 - 15*g**2 - 11*g**2 + 54*g**2 - 139*g - 16*g**2 - 11*g**2 to u*g**2 + y*g + z*g**3 + d and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 19*j - 1. Let r be q(-4). Let p = -71 - r. What is the units digit of 102\/(-3)*(1 + 1 - p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p - 7*p + 0*p)*(0 + 1 - 2)*(2 + 6 - 4)*(1 + 2 - 1) to the form h + q*p and give q.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 91216320.4426.\nAnswer: 91216320.1426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 170 and 204?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 85969764 to the power of 1\/3, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c - 12101. Let i(t) = t + 2417. Calculate -11*i(h) - 2*z(h).\nAnswer: h - 2385","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08572 rounded to 3 dps?\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136076?\nAnswer: 2, 34019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1111348 to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 - 8*h - 2. Let c be i(6). Let y = -320 + 320. Calculate the common denominator of y + 1 + 56\/c and -11\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x + 32. Let c be q(-9). Suppose -7*r + 3*r = t + c, 2*r + 112 = -4*t. What is the remainder when 20\/t - 334\/(-6) is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 9*r - 10*r + 6*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + t**2 - 2*t**2 - 4 + (5 - 3 + 2 + (-5 + 2 - 3)*(2 - 4 + 0))*(-702*t**2 + 357*t**2 + 350*t**2 - 51).\nAnswer: 79*t**2 - 818","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-53 - (-7 + 23))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -3\/5 (c) 2895 (d) 5 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((-3 + sqrt(162) + sqrt(162) + sqrt(162))**2 - sqrt(162)) - sqrt(162)) + sqrt(162))*4*-1.\nAnswer: -29340 + 3420*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 5*w**8\/336 + w**4\/6 + 8*w**2. What is the second derivative of m(a) wrt a?\nAnswer: 100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 113, 86, 23, -94, -283?\n\"Answer: -3*h**3 - 6*h + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a meter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3388311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 5*q - 3*c + 8, -4*q - 2*c - 10 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 6*(-2)\/(-2). Let a(m) = 8*m - 7. Let b(p) be the third derivative of -3*p**4\/8 + 4*p**3\/3 + 476*p**2 - 2. Give j*b(s) - 7*a(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.01, 115 in increasing order.\nAnswer: 0.01, 1\/2, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 - 287. Let s(r) = 72*r**2. What is t(s(c))?\nAnswer: 10368*c**4 - 287","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 189 - 183. Suppose -p = -16*m + 154. Sort -2, -5, -4, m.\nAnswer: -5, -4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62.132 - -0.132. Let i = 61.995 + r. Round i to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o + 14. Let i be u(10). Suppose -2*v - i*h = -485 - 69, 0 = 4*v + 4*h - 1112. What are the prime factors of v?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*c**3*x**2 + 4*c**3*x + 3*c**3 + 83092*c**2*x**2 + 70*c**2 - 2*c*x**2 + 435*c + x wrt x?\nAnswer: 38*c**3 + 166184*c**2 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(320) + sqrt(320))*6 + (sqrt(320) - (0 + 4 + sqrt(320))) - -1*((sqrt(320) - (-2 + (sqrt(320) - (sqrt(320) + 3 + sqrt(320))))) + -5))**2.\nAnswer: -896*sqrt(5) + 62736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*u = 3343 - 13510 - 33729. Which is greater: u or -356?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 18. Let s = 45 + x. Calculate the highest common divisor of s and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 33*d - 2. Let m(o) = 18*o + 1. Calculate 5*m(y) - 3*v(y).\nAnswer: -9*y + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -27949 from -39461.\nAnswer: -11512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 3 - 4 - -6) + 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 2*a**3\/3 - 1182*a. Let l(m) = 429*m**2. Calculate l(s(f)).\nAnswer: 6864*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/4 of a millimeter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 - 0.9. Let s = -0.24 - -0.34. Let t = 0.74 - 0.24. Put s, t, c in ascending order.\nAnswer: c, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -474 take away 242311?\nAnswer: -242785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2161428 by 540357.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 2140.\nAnswer: 4280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g + 15. Let m(w) = -3*w + 7. Let z(c) = -5*m(c) + 2*y(c). Let l(h) = 2*h - 3. Give 7*l(q) - 4*z(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8395, 8391, 8387, 8383, 8379, 8375?\nAnswer: 8371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -5*k**4\/4 - k**3\/3 - 2. Let q = -64 - -68. Suppose 0*a = -a + 3*c + 4, 2*a = 2*c + q. Determine b(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 10 = -2*b, 2*b - 15 = 7*b + 3*c. Let w(i) = 20 + b*i**2 + 2*i**2 - 24 - 6*i. Is 12 a factor of w(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1818213, 3636440, 5454677, 7272930, 9091205, 10909508?\nAnswer: 12727845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1564671\/44 + 35563. Let a = -1\/20319 + -144487\/74503. What is the common denominator of a and t?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/10*(-21 - 1). Let y be (-6)\/(-2)*b\/(-165). What is the second smallest value in 1, 4, y, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 + (-73935)\/2466)\/((-7)\/4 - -3)?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -n - 82. What is the greatest common divisor of n and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 220 = 208. Calculate the remainder when 19 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 9*x**2. Let o(q) = -q - 626. Give a(o(j)).\nAnswer: 9*j**2 + 11268*j + 3526884","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122 and 35258?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3223 = -207*m - 5914 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45143227 to the power of 1\/3, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 10 = 47*z - 45*z, -2*z + 20 = 9*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a**2. Let v(z) = -3*z + 6. Let x(h) = -9*h + 17. Let u(o) = -17*v(o) + 6*x(o). Determine u(y(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 1428 = -13*u. Let w = u - 254\/3. Put w, 0.79, -3 in ascending order.\nAnswer: -3, w, 0.79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-24)\/(-46))*(-1782)\/(-2970).\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - f**2 + 4*f + 7. What is the remainder when 50 is divided by w(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - j - 395 = 0, -2*j - 390 = 4*w - 6*w. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30)\/40)\/(3\/8). Which is the closest to q? (a) -0.6 (b) 2 (c) -4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-3)*v*v*v)**(-19\/6)\/(v\/v**(2\/15)*v*v\/(v\/v**(-1\/11)*v)*v) assuming v is positive.\nAnswer: v**(-1631\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnwefnwwwwn. What is prob of sequence nnew?\nAnswer: 5\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*b - 5. Suppose 2 - 10 = -b*v. Suppose -4*s + 0 - 5 = -3*x, 5*s - 3*x = -v. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -573976*f*x**6 + f*x**2 - 2*f + 3*x**6 - 10760 wrt x?\nAnswer: -68877120*f*x**3 + 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: dba (base 14) to base 5\nAnswer: 41322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*(21\/6 + -3). Suppose -5*y - m = 2. Let n = 4 - y. Sort n, 1, 0 in decreasing order.\nAnswer: n, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -517*t**2 - 8*t + 4. Let c(r) = 176280*r**2 + 2730*r - 1365. Let x(b) = -4*c(b) - 1365*o(b). Let h(f) = 2*f**2. Determine h(x(j)).\nAnswer: 684450*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-45)\/(-20))\/(150\/40). What is the second biggest value in z, -1, 21?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m - 277 + 158 + 119.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3228*-1\nAnswer: -3228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1*sqrt(200) + 2)**2 + 0 - -4*(sqrt(288)*1)**2*-2)*-6.\nAnswer: -240*sqrt(2) + 12596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4 + sqrt(7) + sqrt(7) + -1))**2 + (sqrt(1008) + -1 - sqrt(1008)) + 5.\nAnswer: -500*sqrt(7) + 1329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 853 or 20120?\nAnswer: 853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 377, 751, 1125, 1499, 1873?\n\"Answer: 374*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 7*v - 30. Differentiate -v*t**3 - 10*t**3 + 374 - 342 wrt t.\nAnswer: -45*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/7)*z)\/((z\/(z*z**(5\/6)))\/z)*(z**3*z)**(-37\/5))**45)**(24\/5) assuming z is positive.\nAnswer: z**(-200196\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 223755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 174 and 1102.\nAnswer: 3306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616466 is divided by 45.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 2:23 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 141\/(-45) + 3 + (-175)\/(-375). Let l = 0.02 + -3.02. What is the nearest to x in 5, -2\/7, l?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - 38. Let o = y + 92. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 245 - 245. Let x = 0.1 - -3.9. Sort x, 7, q in descending order.\nAnswer: 7, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 395 - 0.0462236?\nAnswer: 394.9537764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6790*x**2 - 7469*x**2 - 23837*x**2.\nAnswer: -24516*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*k - 79*k + 66*k = 3354 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, h: 2, k: 1, a: 1, s: 1, z: 2}. Give prob of sequence sja.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 18 = 2*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8667, -8668, -8669, -8670, -8671, -8672?\nAnswer: -8673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1374883?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*(1 + sqrt(396) + 2))**2.\nAnswer: 24*sqrt(11) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 3. Suppose r*g + 2*g - 20 = 0. Suppose -4*d - g*l + 8 = 0, 4*d + l - 10 = -2. Solve d - 1 = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.22961*-15\nAnswer: 3.44415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -58139644 or -58139646?\nAnswer: -58139644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 4 + (-3 + 3 - 2)*(-3 + 4 - 3) + 2 - 5 + 2)*(-13*k**2 + 2 - 2).\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -10 + 86 + -83.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 125, 258, 393, 530, 669, 810, 953?\n\"Answer: l**2 + 130*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 29*i**2 - 30*i - 51. Give c(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120521771 is divided by 2142?\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*u = 22, 6*x - 5*u = 3*x + 64. Let m = 459 + -449. Calculate the lowest common multiple of x and m\/25*3*(10 - 5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 70, 102, 132, 160, 186?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 53 + (-149 - -67) + 83\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/28 - (66 - 69)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 227*r + 229*r - 5*r**2 - 609*r + 196*r to f + c*r + a*r**2 and give c.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 126\/56 + ((-7)\/(-4) - 2). Solve -6 = l*y + y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111333313 (base 6) to base 5.\nAnswer: 1010043224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 2\/3, 0.01, 1254, -2\/19?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 235165391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -18. Find the second derivative of -7*m + 0*m**x + 0*m**2 - 3*m**3 + 0*m**3 wrt m.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-3)*165\/22. Let x = 4 - f. Suppose -549 = -x*r + 5*r. List the prime factors of r.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 7 + 1. Let a be m\/(-9) + 14\/6. Put -1, 1, a in decreasing order.\nAnswer: a, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 9 - 13*l + 5 to the form i + n*l and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -2. Let l = 20815 + -20815.2. Put a, 0.4, l in ascending order.\nAnswer: l, a, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 4, o: 14}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -588 equal to -587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13176?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {i: 1, f: 1, x: 4, u: 1, r: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 804396.9ml?\nAnswer: 804.3969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**2*s)\/(s\/(s*s*s**(-3\/5))) assuming s is positive.\nAnswer: s**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w + 113. Let n be (-3696)\/(-456) - 2\/19. What is the tens digit of p(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p - 2*p - 4*p)*(5*p - 2*p + 0*p) as w*p + x*p**2 + n and give x.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 12 = -4*f, 3*f - 3*t = f - 14. Let x = 0 - -1. Which is the closest to x? (a) f (b) -0.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22923 by -674.\nAnswer: 22923\/674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -22.4. Sort 5, t, 4\/5.\nAnswer: t, 4\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, 551, 1935, 4403, 8261, 13815, 21371?\nAnswer: 31235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1638 and 2163.\nAnswer: 168714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42.5 - 37.86. Let z = -0.64 + b. What is the smallest value in z, -2\/51, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16541163 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*((-33)\/6 - -3). Let a(w) = m*w**2 - 2*w**2 - w**2. Let u(l) = 2*l**2 + 3*l**2 - 3*l**2. Give a(u(d)).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 84*r + 3018. Determine b(-36).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/120 and -76\/2295.\nAnswer: 18360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 10*x**2 - 18*x + 4. Let m = -22 - -43. What is the remainder when a(5) is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*l**2*n*w + 2*l**2*w + 20661*l*n*w + 2*n*w - 56*n + 692*w wrt l?\nAnswer: 14*l*n*w + 4*l*w + 20661*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - (-72 + (-20 - -32)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/11359?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 12:40 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*v**2 - 42*v**2 + 21*v**2 + 0*v**2 to the form d*v**2 + j*v + p and give d.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111100101011100 + 1011111?\nAnswer: 101111100110111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 375805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5486 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + -46 + 23 + 19 + -25.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -20?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4350 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 14*k + 15 = 0. Suppose -7 = -3*v + p, -4*v = -9*v + 5*p + 5. Suppose 0 = y - v*r - 0*r - 20, 5*y = -r + 20. Solve -15 + k = -y*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-42))\/((-8)\/15)*4*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/5)\/(t\/(t\/t**(-5))))\/(t**(2\/9)\/(t\/(((t*t\/(t*t*t\/((t\/t**(-2))\/t)*t)*t*t)\/t)\/t))))**(-3\/38) assuming t is positive.\nAnswer: t**(-287\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 19. Let n be f(-10). Let o be (-6)\/9 - 41759994\/n. Round o to the nearest 100000.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 2 - (1 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -633 (b) 3 (c) -11 (d) 4 (e) -3 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 3 + 2*v - 14 + 81.\nAnswer: 2*v + 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1179 - -1882. What are the prime factors of h?\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(60\/10*(-1)\/(-2))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/7, -7 in decreasing order.\nAnswer: 0, -1\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -1)*(-1)\/3*0. What is the smallest value in 0.3, -9, k?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 8:39 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 46\/(-299) + (-200)\/(-455). What is the biggest value in -90, -0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 866815 is divided by 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x + 3*x - 2*x**3 - 15*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22519*x + 22507*x + 3108. What is the remainder when x is divided by 192?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 258 = -3*q + 222, -3*q - 4*m = -480. Suppose 4*p = 8*p - q. Is (p\/16)\/(2\/20) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1003 - -1004. What is the closest to 2 in u, -5, 0, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)\/((sqrt(12) + sqrt(48))*4))**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 18*f = -135. Suppose 0 = 3*m + f*m - 3168. Does 42 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -7 + -2 + 9 - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**4\/2 - 3*g + 16. What is the derivative of t(c) wrt c?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 191 - 187. Put 0, 1, p, -3 in ascending order.\nAnswer: -3, 0, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**4 + 8*x**4 + 2*x**4 + (0 + x**2 + 0)*(0*x**2 + x**2 + 0*x**2) + (-1 + 3*x + 1)*(5*x**3 - 9*x + 9*x) + 0*x**4 - 6*x**4 + x**4 + 2*x - 2*x**4 - 2*x.\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -5. Suppose -5*b = 3*m - 0*b + 14, 3*b + 10 = -m. What is the highest common divisor of x and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 18\/647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 8*i**2 - 5*i - 8. Let j be s(-6). Let r = 8 - j. List the prime factors of r.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2100 - -3696. Let n = s + -1596.02026. Round n to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2067*u + 17 = -2084*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121 - 11.4680717.\nAnswer: 109.5319283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1556 = 2*j, -5*j - x = 3*x - 3935. Suppose -5*c = 20, 11*c = -g + 9*c + j. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 870*k + 673*k + 159165 = 328*k for k.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -8\/11 (b) -2 (c) 0.5 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 727*c - 624*c + 1339 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6 + 24\/18. Suppose -3 = -3*y + n, -4*y + 13 + 1 = v*n. Suppose -88 - 170 = -y*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60423030 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -4\/9, 446, -1\/3, -2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3800*p**2 - 3800*p**2 + 22*p**3 + 3*p + 1 as s + x*p**2 + m*p**3 + w*p and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 13235*l. Let o(y) = -17*y**2 + 9*y - 36. Let u(d) = 4*d**2 - 2*d + 8. Let j(r) = 2*o(r) + 9*u(r). What is j(i(k))?\nAnswer: 350330450*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 1) + 2\/2. Let c = -661 - -665. Suppose 4*u - 44 = 4*k, 12 = -2*u + c*u + a*k. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2151633 equal to 50\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (25 + -1)\/4. Suppose -3*n - c = -44, -6*n - b*c + 90 = -n. Solve 2*w = 3*w - 3*q + n, -q = 4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 16 = 7*n + 12*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5045827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 2*w + 3. Determine l(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 2260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -117868 - -3?\nAnswer: -117865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 - -11 - (-1 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0, -6\/55, 2, 4.44 in descending order.\nAnswer: 4.44, 2, 0, -0.1, -6\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -75*i. Let p(l) be the first derivative of -l**3\/3 - 54. What is b(p(m))?\nAnswer: 75*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 22 - 70 = 0. Let f(z) = -z**2 + 12*z + 5. Let n be f(g). Suppose -n = -t + 17. Solve 5*p - 4*x + 3*x = -t, -40 = 5*p + 5*x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -619650 + -0.1\nAnswer: -619650.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + o - 3. Suppose -3*y + 238 = -2*u, -2 - 8 = 5*y. Let g = u + 121. Let a(q) = q**2 - q - 1. What is g*z(x) + 3*a(x)?\nAnswer: 2*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2824 + 501. Let w = -200 + 335. Suppose w = -5*b + u. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -144*t**2. Let a(p) = -393 + 785 - 392 + p. What is v(a(d))?\nAnswer: -144*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 1)**2*-6*-1*-2*-5.\nAnswer: 120*sqrt(3) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-2\/7))**37)**(2\/13))**31)**(-2\/3) assuming g is positive.\nAnswer: g**(9176\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 233 - 520?\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448781763 is divided by 38?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0667 + -0.0423. What is l rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 = -2*a + 4*z + 181, -18 = -3*a + 4*z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8796278069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5128 divide 670849970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**4 + 7*u**3 - 24*u**2 + 30. Let p(x) = -5*x**4 - 27*x**3 + 97*x**2 - 119. Let j(i) = -9*f(i) - 2*p(i). Solve j(l) = 0 for l.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 12:28 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, -90, -194, -298, -402, -506?\nAnswer: -610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from {s: 5, u: 1, p: 1, e: 1, i: 6, n: 2}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -492.\nAnswer: 5\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 9307 + 4154 = 0. List the prime factors of b.\nAnswer: 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -61, -125, -189, -253, -317, -381?\n\"Answer: -64*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7*79 + (-9)\/(63\/28)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)*-2 - sqrt(27)) + sqrt(3) + sqrt(3) + sqrt(3) + (sqrt(300) + 2)**2.\nAnswer: 34*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (-20)\/(-27))\/(39662\/(-59493)).\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leluuuujlllllleuuu. What is prob of sequence ej?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123.3106 + 4636.\nAnswer: 4512.6894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 89610\/11 and 8146 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*b + c + 73, 3*c = -9. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60*d*o**4 + 8*d*o**2 + 4*o**5*v - 57*o**3*v - 20647*o**2*v - 29*o*v wrt o.\nAnswer: 1440*d*o + 240*o**2*v - 342*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -32. Let s(y) be the third derivative of -1\/210*y**h + 1\/240*y**6 + 0 + 0*y + 1\/672*y**8 + 0*y**5 + 0*y**4 - 5*y**2 + 0*y**3. Factor s(i).\nAnswer: i**3*(i - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/195 + 1\/13. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-45)\/(-25)) - (-6)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + u + 0)*(1 - u - 1) + (2 - 2 - u)*(3 - 2*u - 3))*((-3 - 4 + 6)*(3 - 3 - 2*u) + 142*u - 910 + 910 + u - 2*u + 4*u).\nAnswer: 147*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6662 + 13449 - 250149*x - 6787)*(-2*x**2 - 3*x**2 + 4*x**2) as t + o*x**3 + y*x + l*x**2 and give o.\nAnswer: 250149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w + 75 = -35 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3587 and 2173.8.\nAnswer: 5760.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19529 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1158 - 1078. What is the smallest common multiple of d and 288?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*p - 255 - 1608 = 0. Calculate the remainder when 532 is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-7 + 1)\/((-5)\/(20\/3)) and 9\/12 + (-82)\/(-8)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*d - 1654*d - 57925 = 479*d for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/28)*c*c*c**15 assuming c is positive.\nAnswer: c**(475\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -5\/376, 0, 6\/11 in increasing order.\nAnswer: -5\/376, 0, 2\/7, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millennium in months?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*c = 25, 3*c - 22 = 4*a - 6. Let w = 0 - a. Is w != 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 38, 26, 0, -46, -118, -222, -364, -550?\n\"Answer: -o**3 - o**2 - 2*o + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -381, 1?\nAnswer: -381","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -26 times -0.353936\nAnswer: 9.202336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -2053?\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12368 divided by -2?\nAnswer: 6184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j - 105 = 5*t, 105*j - 303*j + 14 = 2*t - 103*j - 99*j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmnm when four letters picked without replacement from {n: 3, m: 2, u: 4, a: 1, y: 1, j: 4}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/64 and -7\/299104?\nAnswer: 598208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 12*p**2 + 25*p + 48. Let j be g(13). Let t = j - -431. List the prime factors of t.\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -864\/2681 + 245475\/879368. Calculate the common denominator of f and -27\/22.\nAnswer: 25256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 470228771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22770 + -9299. Is k a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - 6*t**3 - 2*t**3 + (-t**3 + t**3 - 2*t**3)*(-2 - 1 + 5) + 0*t**2 + t**3 + 0*t**2.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 11) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2391 = -932*u + 97*u - 25999 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -17.991. Let o = a - 0.0089951. What is o rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(2\/19))**(-10))**(-3\/5))**(-1\/4))**14 assuming l is positive.\nAnswer: l**(-42\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + sqrt(396) + (sqrt(396)*1 - sqrt(396) - sqrt(396)))\/sqrt(9))\/sqrt(4) - ((-3*-1*sqrt(11) - sqrt(11)) + (0 + sqrt(44))**2).\nAnswer: -44 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2632*w. Let s(v) = -6*v - 4. Determine s(u(p)).\nAnswer: 15792*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -64 in increasing order.\nAnswer: -64, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*(-3 + sqrt(11)*-3))**2.\nAnswer: 648*sqrt(11) + 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 753900 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*sqrt(117)*2 + 0)*1.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63121\/170)\/47 - 2\/(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4077612 is divided by 54368.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 1) + 2 - 405. Let j be 3307\/(-4)*(-1)\/2. Let r = j + i. Find the common denominator of r and -31\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3096\/(-1720))\/(162\/45)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.45, -1, 5\/26, -137 in descending order.\nAnswer: 0.45, 5\/26, -1, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(-1\/14))\/u*u)\/u**(-7) assuming u is positive.\nAnswer: u**(127\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (39\/(-9))\/((-1)\/3). Suppose -41 - c = -3*h. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**2\/7 - 235524*p\/7 + 4622629548\/7 = 0.\nAnswer: 39254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -731\/8 - -5483\/60. Let d(n) be the third derivative of 1\/20*n**5 + 0 + n**2 - n**3 + k*n**6 + 0*n - 7\/24*n**4. Calculate d(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/6 - 460\/(-6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 15 = -4*k, -u - k + 3 = k. Let l(q) = -2*q + 3 + 3 - u + 2*q**2 + 2. What are the prime factors of l(-4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.16293 millennia in years?\nAnswer: 12162.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0058024 - -258.1211976. Let x = l - 258. Round x to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -10100110000000?\nAnswer: 10100101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 3\/35*b**7 + 37\/30*b**5 + 0*b**3 + 0*b**6 + 0 - 20*b**2 + 0*b**4 + 4*b. What is the third derivative of k(j) wrt j?\nAnswer: 432*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1820 divided by -130.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1033205 (base 6) in base 7?\nAnswer: -302321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 251, 265, 255, 209, 115, -39, -265?\n\"Answer: -2*f**3 + 28*f + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 28, 75, 150, 259, 408?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 + 0 - 0\/2. Let j(a) be the third derivative of a**6\/120 + 2*a**5\/15 + 5*a**4\/24 + a**3 + 346*a**2 - 56. Give j(f).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -571634 divided by -1804\nAnswer: 285817\/902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-2)\/(-2) + 0. Suppose 3 = c*h - 3. Solve 5 = 8*x - h*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6784499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 4:12 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 884069627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425960 is divided by 1327?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*v - 184. Let p be v\/((0 + 2)*-1). Solve -p + 3 = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -171, -192, -213?\n\"Answer: -21*n - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 + 7*f - 2. Let b(k) = k**2 + 5*k - 19. Let d = 4 + 0. Suppose -d*y - 12 = 16. Let a be b(y). Calculate z(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 5*r - 2*c - 12, -2*r - 20 = -3*c. Let a = -5 - r. Does 12 divide (-9)\/(2\/a*-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 7429885*s**2 + 29719480*s - 29719460.\nAnswer: 5*(s - 1485973)*(s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 - 25*z - 541. Is 72 a factor of a(-84)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-25)*5*5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(80) - sqrt(5) - (sqrt(5) + (sqrt(20)\/sqrt(4))**2 + -1).\nAnswer: -4 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**2 + 27*u + 44. Let v(g) = -g. Calculate m(v(b)).\nAnswer: -2*b + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 3)*(-t + 5*t - t)*(44*t - 44*t + 10*t**2) as h*t + f*t**2 + w*t**3 + s and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*v**4 + 9022292*v**3 - 38093620*v**2 + 35086124*v - 6014760 = 0. What is v?\nAnswer: 2\/9, 1, 3, 250615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 0 (c) -63 (d) -0.014646\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + a = -2*a - 225, -4*g = 2*a - 180. What is the greatest common divisor of 345 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 10 = -3*q - 2*q, -5*q = -4*z + 8. Solve o = -3*k + 6 - q, -k - 2*o = -7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 8 + (-1 - 3) + -13 + -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**5\/20 - 3*y**4\/4 + 3*y**2\/2 + 35*y. Let r be s(-9). Solve r*q + 2*m - 4 = 0, 4*q + 4*m = 5 - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**4\/24 - 5*b**3\/3 + 4*b**2. Calculate z(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w**2. Let m(x) = -34*x - 24. Let s(i) = -35*i - 24. Let k(r) = -4*m(r) + 5*s(r). Let f(b) = -8*b - 5. Let j(g) = 24*f(g) - 5*k(g). Give j(h(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 2*t + 330 - 2*t.\nAnswer: 2*t**2 + 330","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20133001301 (base 4) to base 10\nAnswer: 2224241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w**4*w))\/w**(-2\/5))**(27\/4))**(4\/5))**(-24) assuming w is positive.\nAnswer: w**(11664\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2998697 is divided by 1387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, e: 9}. What is prob of picking 1 e and 1 m?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-6\/5)*i))\/i**(-2))\/((i**18*i)\/i**(-5)) assuming i is positive.\nAnswer: i**(-104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2336413 at least as big as 2336447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7 - 11 = 0. Let z = m + -4. Suppose z*s - 198 = 4*g - 3238, -3*g = 2*s - 2287. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 282\/5*k**3 - 88\/5*k**4 - 44*k**2 - 8\/5*k**5 - 10*k = 0. Calculate k.\nAnswer: -5, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 31108*w**3 + 17223*w. Let x(g) = -3889*g**3 - 2153*g. Let b(p) = 6*m(p) + 49*x(p). Find the second derivative of b(r) wrt r.\nAnswer: -23478*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -122 - -124. Let a(h) = 9*h - 15. Let t be a(k). Solve -2*c + 5 = -t*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7124 = -2*g - 2*o, 2337 = -g + 2*o + 5893. List the prime factors of g.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5944 divided by 31?\nAnswer: 5944\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 9*s = 8, 20 = -2*o + 3*s. Let u be -5 + (22\/(-10))\/(o\/20). Solve 2*z - 4*g = z - 17, -2*g = -u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 405 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.18187 + 0.31813. Which is the second smallest value? (a) r (b) -0.34 (c) 4 (d) -4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1141\/58 - 5\/29. Calculate the common denominator of -29\/7 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -2682\nAnswer: -1341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**7\/5040 + 7*b**6\/360 - b**5\/60 - 3*b**2. Let q(z) be the third derivative of l(z). What is the units digit of q(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/29420 and -7\/44130?\nAnswer: 88260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4119*r**2 + 2711 with respect to r.\nAnswer: -8238*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7184, -10221, -13274, -16349, -19452?\n\"Answer: -q**3 - 2*q**2 - 3024*q - 4157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -36479064 at least as big as -36479064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (867 + -889)*2\/(-4)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -8. Suppose 31 + 5 = i*o. Let k(y) = y + 8. What is the least common multiple of k(o) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*i - 32*i = 36*i + 1904 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**3\/4 - 81*k**2\/4 - 621*k\/4 - 1215\/4 = 0. Calculate k.\nAnswer: -15, -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51*u**4 + 510244*u**3 - u**2 - 2*u + 479305 wrt u.\nAnswer: 1224*u + 3061464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010120221220 (base 3) in base 8?\nAnswer: -2230014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7156957 is divided by 1956.\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4455 + -4453. Factor 1\/4*p**x - 3\/4*p + 0.\nAnswer: p*(p - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*y = 3*v - 24, -2*v - 52 = -5*y. Let q = v + 32. What is the remainder when 62 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(7 + -4))\/(1\/3). Let v = 0 + -4. Put z, -3, v in descending order.\nAnswer: z, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2332 and 85690?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/21)\/(x\/(((x\/(x*x**(-8\/7)))\/x*x)\/x)*x))**(-28)*((x\/x**(-4\/3))\/x*(x*x**9*x)\/x)\/((((x**9*x)\/x*x)\/x)\/x**(-5)) assuming x is positive.\nAnswer: x**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 235, -3, -5 in descending order.\nAnswer: 235, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 70 + 250 = 0. Suppose 4*n = k - 20, 4*k - v = 5*n - 2*n. Let f = 125 + -117. What is the highest common divisor of f and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5021044544 - 2?\nAnswer: 5021044542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u - 75. Determine f(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + 3. Calculate the lowest common multiple of t and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 1987264*g + 246826137856.\nAnswer: 4*(g - 248408)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 46*o**2 - 3*o + 131. What is c(46)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + (-1)\/1 - 570\/(-165) and -39\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284367078 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, 5 in ascending order.\nAnswer: -7, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1097 + 647. Let z be (-1 - 1\/(-2))*t\/45. Solve 2*q - q = -z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 11 + 2599\/(-115)?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 432 (c) -1\/8 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 136 - 133. Let x be (-81)\/(-12) + j\/(-4)*1. Solve -2*k + 4 = 4*d - 0*k, 2*d + 3*k - x = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/17, -1020, -0.5, -1\/3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*(n\/((n**(2\/3)\/n*n)\/n))\/n)*n))**(2\/45)*n**(2\/3)\/((n**(-3\/5)*n)\/n) assuming n is positive.\nAnswer: n**(173\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + v + 30. Let f be n(0). What is the units digit of -3 + f + -1 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7599682?\nAnswer: 2, 29, 283, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.641 + 3.641. What is the nearest to h in -1.1, -0.2, -3, -4\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*b + 15*b + 146*b - 79*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/5 - (-32039)\/115.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 92879821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 8*a**2 + a - 6. Let h be b(8). Suppose -2*j = -w - 5, 0 = -4*w + j - h*j + 16. Find the second derivative of 3*r + 2*r**w + r + 0*r**3 wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12464 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 42*t = 37*t + 12060. Suppose -3*d - 3017 = -5*l, 6*l - 10*l + 2*d = -t. List the prime factors of l.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 1519 = -4*r - 375, 3*r - 858 = -4*x. Suppose p + r = -4*p - 4*o, 0 = -5*o - 20. What is the units digit of (-12)\/p + 122\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*k - 222450 = -222632 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, s: 9}. Give prob of sequence isii.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2201.\nAnswer: 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11370171 = 301*j - 6093071 + 3511892. Is j a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -2*i**3\/3 + 78. Let r(k) = -14*k + 3. Let n(z) = -15*z + 2. Let f(b) = -3*n(b) + 2*r(b). Calculate s(f(d)).\nAnswer: -578*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n - 1. Let x(s) = 3*s + 66 - 66. What is 2*w(p) + 3*x(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450758474.\nAnswer: 2, 587, 383951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -184 - -181. Which is the third biggest value? (a) s (b) 2 (c) -5 (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -h + 3*q, -3*q - 5 = -2*q. Suppose -4*f - 8 = 0, 4*f - h*f - 12 = -u. What is the units digit of 255\/u*12\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1221250568.\nAnswer: 2, 43, 431, 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 38*l = 37*l - 12, 0 = -3*d - 4*l + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(126)*-1)\/(sqrt(4)\/sqrt(2)*-3) + -1.\nAnswer: -1 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.107 + 0.877. Let n = 0.97 - i. Let k be (-1 - -1)*(-1 + 0). Which is the nearest to k? (a) -5 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 12876?\nAnswer: 64380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6*p + 12 = -3*p, 0 = -2*b - 3*p + 17. Let v = b - -5. Suppose m = -0*m + v. Which is smaller: -0.1 or m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -4\/3 (c) -242 (d) -5 (e) 6\/17 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1815 and -0.8.\nAnswer: 0.9452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/60*2\/(-4)*-1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b + 7*b = 805872. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -267*t**2 + 4*t + 7. Let f(q) = 267*q**2 - 3*q - 6. Let i(v) = 6*f(v) + 5*r(v). Let n be i(1). Suppose 0 = 5*l - n + 58. Is l a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1159*2\/8 - 2*(-3)\/24 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -43234?\nAnswer: -43234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (1875868\/(-14))\/(88\/220 - (-24)\/(-35)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, a: 3, h: 8, c: 2}. Give prob of picking 2 h and 1 a.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-26)\/(-2) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 1:58 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 20*q**2 - 23*q + 19. Does 6 divide f(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 277743?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 78 in -2\/3, -3\/7, -66?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d - 12*d**3 - d**2 + 4*d**3 + d**4 + 8*d**3 - 1 to the form i*d + n*d**3 + g*d**2 + x*d**4 + o and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 275340 and 780?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzzzkpz. What is prob of sequence zkk?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djjd when four letters picked without replacement from jdjdd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.44 - -2.44. Let k = -128 + 511\/4. What is the second smallest value in k, 1\/4, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.41218555 rounded to 4 dps?\nAnswer: -3.4122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 7*g - 7. Let z(v) = 3*v - 3. Let s(l) = -l**2 + 19*l - 41. Let x be s(16). Give x*z(u) - 3*c(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*u**4 + 21*u**4 - u**3 + 31*u**4 - 1 + 0*u**3 + 2*u**2 in the form f*u**2 + n + k*u + d*u**3 + v*u**4 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 + 234*f**2 - 241*f + 420. Give w(-118).\nAnswer: 1010","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*l + 3*q + 28, 24 = 4*l + 2*q. Suppose 0 = -l*g - 27 - 9. Let b(p) = -p - 6. What is b(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*a + 3*a + 68 = 0, 3*a + 76 = 4*x. What is the first derivative of 134 + x*h**4 + 5*h**4 - 125 wrt h?\nAnswer: 84*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 59\/4 of a hour?\nAnswer: 885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s - 75 = -10*s. Let v be 3\/s + 68*1\/140. Which is the closest to -1? (a) -2 (b) -1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525104583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.15 + -5.15. Which is the nearest to 1\/2? (a) f (b) -1\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.3 - -11. Let y = 0.4 + q. Let k = y + -0.09925. Round k to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -156*b. Let l(o) = -5464*o. Calculate l(c(w)).\nAnswer: 852384*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2754, -5340, -7894, -10422, -12930, -15424, -17910?\n\"Answer: -h**3 + 22*h**2 - 2645*h - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**3\/6 - 5*p**2\/2 - 8*p. Calculate the remainder when 17 is divided by b(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, -3, -4, 1116 in decreasing order.\nAnswer: 1116, -1, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 3*k + 5. Let y(o) = o**2 + 8*o + 11. Suppose 0 = 3*v + 2*h + 25, 4*v + 26 + 8 = -3*h. Let x be y(v). Determine m(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 24 = 4*x - 0*h, 0 = -5*x + 3*h + 28 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/5 - 7*i**4 - 396*i**3\/5 - 1296*i**2\/5 + 1728*i\/5.\nAnswer: -i*(i - 1)*(i + 12)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3270 = -10*y + 14*y - 5*n, -y + 3*n = -821. What are the prime factors of y?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 12*g - 4*g + 17*g + 3*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217980 divided by -420.\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 6. Let o = -4 + q. Suppose -20 = -5*m, 3 + o = 2*z - m. Solve 0 = -4*j - z*x + 36, 5*j - 3*x + 8*x = 40 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -714*z**4 - 2*z**3 + 5*z**2 + 45425.\nAnswer: -2856*z**3 - 6*z**2 + 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -70*-0.4\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**3 - 7*t**2 - 14*t - 3. Let j(a) = -a**3 + a - 1. Let g(k) = 4*j(k) + z(k). Determine g(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -1961 in decreasing order.\nAnswer: 4, 2, -1961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5*x + 6 + 0*x**2 + 0*x + x**2 + 3*x. Determine t(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w + 133 = 43. Let g(f) = f**2 + 4*f - 1. What is g(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 2. Let s(o) = -383*o**3 - 12. What is 6*d(v) - s(v)?\nAnswer: 377*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16 - 282\/18)*(0 - 0). Solve 0 = 5*z + 5 - u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 34*h**2 + 154*h - 82. What is r(25)?\nAnswer: -1857","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 219 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 40, 1 in ascending order.\nAnswer: -5, -2, 1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 45986*n**2 - 1 - 121*n**3 - 45986*n**2.\nAnswer: -121*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/((-2)\/4). What is the remainder when 44*(-4)\/16*m is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5121 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 0*d + d**3 + 1\/20*d**5 - 3\/8*d**4 + 4*d**2 + 0. Factor u(g).\nAnswer: 3*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 8*m - 12*m + 8, -3*m = 4*z - 6. Solve -g - 61 + 68 = z for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38118 and 18?\nAnswer: 114354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (915*x - 347*x**3 - 915*x)*(-51 + 107 + 40 + 2*x) + 2*x**4 + 0*x**4 - x**4 to the form a + z*x + k*x**4 + r*x**3 + j*x**2 and give k.\nAnswer: -693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-60)*(3 - 3 - -2). Let a = 59 - 42. Let r = 14 - a. What is the nearest to 1\/2 in r, -3\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 7\/((-21)\/(-39)). Let m(x) = x**3 + 3*x**2 - 4*x + 3. Let i be m(-4). Sort g, -3, i, 0 in decreasing order.\nAnswer: i, 0, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**3 - 1270344*d**2 + 17785468*d - 41923200 = 0.\nAnswer: -317600, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 4*v + 4*j, -3*v + 2*j + 69 = 8. What is the second smallest value in 5, -2, -2\/63, v?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f + 6. Suppose -13 + 0 = -u. Let i(z) = -15*z + 13. Let s(l) = u*r(l) - 6*i(l). Let b(y) = 15*y. Determine s(b(h)).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 1300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 301328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a9 (base 12) to base 7.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26105714 and 1758.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11950*w + 11958*w - 47807*w + 11952*w + 11953*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 2 = 5*g. Solve -4*d + i - g = 2*i, 0 = 3*i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssfosssoqsfonnsfno. What is prob of sequence osn?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -36102330795533 from 4.\nAnswer: 36102330795537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r - 5*j + 6, 0 = j. Let h be r + -2 - (-5 + 2). What is the units digit of (20\/h)\/5*6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 8*f**2 + 9*f + 39. Suppose 54*q - 61*q - 49 = 0. What are the prime factors of t(q)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 437*v - 3443. Calculate k(8).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02588162 to five decimal places.\nAnswer: -0.02588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqba when four letters picked without replacement from bbqqua.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 3:22 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3)\/44*((-96)\/288)\/(1\/3).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1273 (base 9) to base 14\nAnswer: -4c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78 + 73. Let u = 166 - b. Calculate the remainder when 89 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -2\/15 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.22, -54, -4.6 in increasing order.\nAnswer: -54, -4.6, -0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/6 + (-2)\/(-3). Let r(u) = 6*u**2 - 5*u - 6. Let h(z) = 7*z**2 - 5*z - 7. Let n(o) = 5*h(o) - 6*r(o). What is the units digit of n(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 12020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(5\/2)*k**(4\/5)\/k)\/(k**(2\/7))**(5\/9)*((k*k*(k\/(k**(1\/4)\/k))\/k)\/k)**(-12\/17)\/(k**(3\/2)*k**(-4\/11)) assuming k is positive.\nAnswer: k**(-13571\/58905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2. Let z(g) be the first derivative of 0*g - 1 + 5\/3*g**3 - 1\/2*g**2. Let w = 2 - 0. Give w*z(j) + 9*u(j).\nAnswer: j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 402\/(-34) - (936\/(-2))\/39?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 2*h + 2*h)*(0 - h + 0) - 100*h**2 - 6 + 101*h**2 + 41*h + 1.\nAnswer: 2*h**2 + 41*h - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - l + 36 = 101, -3*d + 4*l = -191. Let t = 47 + d. Let u = -75 + t. List the prime factors of u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**9\/100800 + x**8\/33600 + x**7\/8400 - x**6\/1200 - x**5\/10 - 3*x**2. Let m(k) be the third derivative of l(k). Factor m(w).\nAnswer: -3*(w - 1)**2*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4136630 (base 8) to base 3\nAnswer: -2001201221210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 1938237.1.\nAnswer: -3876474.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 5\/66, 2.78?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 27*v + 199. Determine t(-33).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = 48*x - 216 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**5\/60 - r**4\/4 + 5*r**3\/3 - 51*r**2. Suppose 16 = 5*w - 19. What are the prime factors of n(w)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2. Let v(p) be the first derivative of 299*p**3\/3 + 2*p - 552. Determine t(v(b)).\nAnswer: -89401*b**4 - 1196*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 427644\/151 less than 2833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5796 and 6420036.\nAnswer: 19260108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 903?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 855862629 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0 - 4 = l, 5*y + 22 = -3*l. Let r = 35 - y. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 - r**3 + 2*r**3)*((-5 + 2 + 4)*(0 - 2 + 1) - 2 + 2 - 1).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -2838a?\nAnswer: 28388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a meter in millimeters?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3) + -7 + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2088 + 3685. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(136) + -6*(sqrt(136) - sqrt(136)*3))\/sqrt(8) + -5.\nAnswer: -5 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2.563821 weeks?\nAnswer: 17.946747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 - 29*f - 151. Calculate p(-8).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 3*m - 8. Let w be 0 + m - (-3 - -13). Let c be (-22)\/w*(3 - -1). Solve -4*p = n - c, -4*n = -p - 4*p + 19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**5\/120 + z**4\/24 + 13*z**3\/3 + 12. Let a(p) be the third derivative of t(p). Calculate a(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 63883, 1\/7, 0.9, 2\/19, 0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15204, 30403, 45602?\nAnswer: 60801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 45778773 in descending order.\nAnswer: 45778773, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20701 = 43*r - 55667. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15 - 115766610483.\nAnswer: -115766610483.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 127 - 53?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 99, 585, 1855, 4299, 8307, 14269?\n\"Answer: 65*k**3 + 2*k**2 + 25*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.169051 to zero decimal places.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**4 - 8*k**3 - 70447*k**2 - 259086936*k?\nAnswer: -24*k**2 - 48*k - 140894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 > -1354155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1964, -2328, -2690, -3050, -3408, -3764?\n\"Answer: g**2 - 367*g - 1598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 10) to base 5.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 5, 3\/7, 1\/8, 31\/3, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 367411483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45379.90182407 + -45379.9. Round h to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -575*h + 5 + 5 + 429*h + 6 + 433*h wrt h?\nAnswer: 287","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -390*k**3*q*u + 152*k**3*q + 6*k**3 + 17*k**2*q*u - 14*k**2*q + 6*k**2*u - 3*k**2 + 8*k*q + 4*k*u + 2*u wrt k.\nAnswer: -2340*q*u + 912*q + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5695406*s**3 - 2386735*s**2?\nAnswer: -34172436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 680 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(21)\/(sqrt(21)\/(sqrt(7)*-3)) + (-1*sqrt(504) - sqrt(14))\/sqrt(2))**2.\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y**3 - 3*y**3 - 2*y**2 - 2*y**4)*(-32 - 7 - 6) as h*y + i*y**3 + d*y**4 + l*y**2 + v and give l.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/123 in 5, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-3) - 3)*15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 6*d**2\/5 - 41598*d\/5 = 0.\nAnswer: 0, 6933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, l: 2, o: 6, j: 3}. Give prob of picking 3 j.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 m, and 1 l when four letters picked without replacement from {c: 1, r: 1, l: 1, z: 1, h: 2, m: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (165\/39 + -4)*-26030954. Let j = -6000351 - u. Let l = 6788 - j. What is the common denominator of l and -16\/11?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 12, w: 1, z: 5}. What is prob of sequence zmm?\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 1101101100110?\nAnswer: 1101101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -15*s**3 + 8*s**2 + 9*s + 2. List the prime factors of f(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 2\/3 (b) 109 (c) 1\/8 (d) -2\/11 (e) -0.101\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39435.\nAnswer: 3, 5, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o**2 + 22*o + 3 - 5*o + 0*o - 11*o**3 - 9*o. Suppose -3 = -2*g - 13. Is c(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.723874 centimeters to kilometers.\nAnswer: 0.00004723874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 + 49. Suppose 0 = 14*k - 7*k - o. Solve -5*c - 19 = k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.4 (b) -1 (c) 2\/13 (d) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 4. Let q be w - 2200001 - 6\/(-3). Round q to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6864844 to the power of 1\/2, to the nearest integer?\nAnswer: 2620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/44 (b) -1.5 (c) -1 (d) -19\/10 (e) -1\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 11. Let z(t) = -2*t + 21. Determine 7*s(q) - 4*z(q).\nAnswer: q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*z - 30*z. Let h(s) be the second derivative of z - 19*s - 3*s**3 + 7\/4*s**4 + 0*s**2. Find the second derivative of h(t) wrt t.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(4*(-36)\/384)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - a + 15*a - 3 + 2*a.\nAnswer: 14*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wjwjjjjjwjjj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 864906229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-286)\/(-39) - ((-21)\/(-9))\/7 - 8. What is the smallest value in r, -50, 0.2, -2?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 4:31 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 14.9. What is the second smallest value in -0.1, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, a: 6, u: 10}. Give prob of sequence uu.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2 - ((2 - 1) + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87987, -351944, -791873, -1407774, -2199647?\nAnswer: -3167492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130176 and 12456.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9934 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(3\/38)*g)**(1\/10) assuming g is positive.\nAnswer: g**(73\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54*n**2 + 24 + 25 - 8*n**2 with respect to n.\nAnswer: -124*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.0940113ns?\nAnswer: 0.0000000000940113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 < 9173577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -34 + 33 - -1*4 - -8152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22000232102 (base 4) in base 14?\nAnswer: 4c45b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1969057 is divided by 434.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81900 is divided by 542?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12445, -12564, -12685, -12814, -12957, -13120?\n\"Answer: -d**3 + 5*d**2 - 127*d - 12322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/25)\/((-2)\/15). Let u be 3\/(1*3\/t). Suppose -22 = -2*j + 10. Solve 0 = -4*w + 2*v - j, 0 = v + 2*v + u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 543114 - 279223. Let x = 228644 - 46753. Let q = y - x. Round q to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfff when four letters picked without replacement from fvfavfffva.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 18*d = 0, 0 = -2*w + 6*w + 4*d - 148. What is the remainder when 958 is divided by w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, j: 1, h: 2, x: 4}. What is prob of picking 3 x?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 12) in base 6?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 359681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 2. Let v(q) = 12*q - 38. Let h be v(7). Let w = -46 + h. Which is smaller: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*a**3*h*r**3 + 363046*a**3*h*r**2 + 2*a**3 - 1004*a**2*r**2 - 4*a**2 + 3*r**3 + 15 wrt h.\nAnswer: 6*a**3*r**3 + 363046*a**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -22 (c) 2\/211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r - 5. Let s = 13 + 3. Let h = -11 + s. Calculate f(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.1 (b) 32 (c) -5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/7 (b) 3 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01761316 rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2 - (2 + (-20)\/60))\/(10\/24))\/102.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -214807383 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1100 + -652. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**4\/48 + 19*b**3\/24 - 837*b. Factor r(p).\nAnswer: -p*(p - 19)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -64 - -4506?\nAnswer: 4492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1978237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12015\/7 + (-104)\/(-182) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01025297 to 4 dps.\nAnswer: 0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 226315057*l*m**2 + 114063619*m**2 wrt l?\nAnswer: 226315057*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4995.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -521 = -5*x - 141. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -14. Let r be (-1685177)\/2 - 3\/x. Let w = -3542588 - r. What is w rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2 - 11*o + 2. Let k(r) = 4*r**2 + 16*r - 3. Let d(v) = 5*k(v) + 7*t(v). Let j be d(3). Which is the closest to 1? (a) 0.5 (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*h + 311 = -665 - 951 for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 9. Let g be 44\/(-33)*(-1 + -5). Let s be o(g). Sort -3, 2, s in decreasing order.\nAnswer: 2, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5.1 * -2\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107624 = -2*u + 16872. Let w be u\/(-56) + 6\/(-21). Round w to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -130 - 9 - (16 - 59).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/7 (b) 1811 (c) -40785\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (1 - (22 - 4)). Suppose 0 = 3*c - l - 1. What is the highest common divisor of 21 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*f**3 - 1)*(46 + 41 - 113).\nAnswer: -52*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15446389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 480338657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + y - 5*y = 468170, -3*y - 3 = 0. Let c = j + -147917. What is c rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 22. What is the remainder when 36 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12267 less than or equal to -12267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p = -54. Calculate the highest common divisor of p and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2. Let h = -9774 - -9774. Let n(y) be the first derivative of -17\/2*y**2 + h*y - 4. Calculate n(s(k)).\nAnswer: -17*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10506*g + 10476*g + 150 = 0. Solve -g*c - 220 = -260 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + q**2 - 2*q + 733. Is g(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1 = 2*x, -2*v = x - 0*x - 1. Let m = 3 + x. Let h(f) = f - 1. Let c be h(4). Solve -m*k = k - c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67628767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, 0.3, 27, 0?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 3. Let o be r(6). Let f be o*1 + -1 - -2. Let s be (4 - f)*(-2)\/(-4). Sort -1, s, -2 in decreasing order.\nAnswer: s, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/6 - 2185*a**2\/3 - a\/6 + 2185\/3.\nAnswer: (a - 4370)*(a - 1)*(a + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + 5\/((-5)\/(-2)). Let k = 10 - h. Let p(t) = t**k + t**2 - t**3 + 4 + 3*t**2. Calculate p(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**2\/17 + 218*b\/17 - 110\/17 = 0 for b.\nAnswer: -55, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/3 (b) -0.054936 (c) -3 (d) 2 (e) -0.3 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 + h. Let l = -5 + 6. What is f(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38560742.2 rounded to the nearest 10000?\nAnswer: -38560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -11*w - 18. Let h(d) = 5*d + 9. Determine 3*a(b) + 5*h(b).\nAnswer: -8*b - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (117460\/112)\/((-1)\/(-8)) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -4.690703.\nAnswer: -4.390703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 28 = 4*t, 2*z = t + 2*t + 14. Suppose -2*p - 1 = -11. Suppose -z = -p*s + 11. Solve 4*n - 14 = -5*f, 0 = 3*n + s*f + 1 - 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4858, -4818, -4778?\n\"Answer: 40*x - 4898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1536 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 12:43 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -90 - 54*i**4 + 90 + (-i**2 - 2*i**2 + 5*i**2)*(2*i**2 - 3*i**2 - 2*i**2).\nAnswer: -60*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, w: 1, y: 3, g: 1, f: 1, o: 2}. What is prob of picking 2 y?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15914584 and 2273512.\nAnswer: 15914584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 917*z = 935*z - 54. Solve -z*w = 4*p - 25, -4*p = 51*w - 46*w - 31 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63.98 + 64. Let q = y - 0.0405. What is q rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 68. Give t(-9).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, -4, -55, -124?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -21*q**2 - 1041*q + 1980. Let m(t) = -24*t**2 - 1051*t + 1981. Let l(c) = 7*g(c) - 6*m(c). Factor l(k).\nAnswer: -3*(k - 2)*(k + 329)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 a when four letters picked without replacement from {a: 6, b: 1, m: 10, h: 2, e: 1}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 814020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*s = 24 + 48, 2*s + 6 = 0. Suppose 12 = 15*p - n*p. Solve m - p = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 590269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9003999 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1)**(-18\/5))**(2\/25)*a\/a**(-2)*a**(3\/2)*a*((a**0*a)\/a)\/(a*(a*a**(-2\/7)*a)\/a) assuming a is positive.\nAnswer: a**(6121\/1750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 25 = 0, -6*k = 4*f - 8*k - 58. Solve -4*w = 5*g - 40, 1 - f = -4*g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1152821 by 3.\nAnswer: 1152821\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -227 + 87. Let f = 141 + z. What is the nearest to -0.4 in f, -1\/4, -3\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 104, 217, 344, 491, 664, 869, 1112?\n\"Answer: q**3 + q**2 + 103*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2834315167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1\/3, 1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 plus 11091.597?\nAnswer: 11061.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2 - 11 - 4*c + 12*c. Let w(z) = -2*z + 2. Let s = -1 + -1. Give s*j(y) - 9*w(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 24 = 2*w, -2*w = 3*w + d - 33. Suppose n + 4 = 5*o, -2*o + 5*n + 13 = -w. Let h = 2 + o. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 1530*k = -1534*k - 3, -3*w + 3*k + 3 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-17 - (0 - 13))*5\/(-4). Let a = 6 + -10. What is the second biggest value in -2, b, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (7 + -3 + (0 + -6 - 2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d**2 + 14*d - 517. What is the hundreds digit of h(-45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + sqrt(1008) + 2 - sqrt(7))**2 - (sqrt(567) + sqrt(567) + -1))*4.\nAnswer: 296*sqrt(7) + 14832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -3) + (-72 - (23 - 11) - -33)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 44*m + 546 = 0 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**3\/4 - 459*z**2\/4 - z\/4 + 459\/4 = 0.\nAnswer: -1, 1, 459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -31011323322 (base 4) in base 7?\nAnswer: -41113242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4988*n - 2543917. Calculate q(-510).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 - 51*p + 13245. Calculate t(-95).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/8 - (-57)\/12. Let q(w) = -w**2 + 7*w + 11. Let u be q(8). Suppose 84 = i*b + u*b. Calculate the highest common divisor of b and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3836 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 187884412.99999366 + -187884517. Let q = 1336 + -1232. Let n = q + w. What is n rounded to seven decimal places?\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -287074 (base 10) in base 11?\nAnswer: -186757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 17*g + 96 = 0. Let k = 19 - 11. What is the remainder when (1 + g)\/(-1)*1 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4130 divided by -826\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 20*p**2 - 17*p - 16. Let q be n(19). Suppose -5*x - 17 = -q. Let l be 17\/4 - 1\/4. Solve 0 = -l*k + x + 19 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404440?\nAnswer: 2, 5, 10111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1091540089, 1091540090, 1091540091, 1091540092, 1091540093?\n\"Answer: u + 1091540088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -257*z**2 + 58*z. Let x(c) = c. Calculate b(x(n)).\nAnswer: -257*n**2 + 58*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 plus 3978027959?\nAnswer: 3978027959.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}